mathlib_f2984d51615166e96632e8efdfe7875575ad76ec.time

0.040029        1 eq
0.000092        2 false
0.000025        3 not
0.000016        4 decidable
0.000015        5 decidable_rel
0.000015        6 decidable_eq
0.000015        7 has_mul
0.000015        8 has_mul.mul
0.000015        9 has_one
0.000015       10 has_one.one
0.000014       11 nat
0.000015       12 list
0.000015       13 or
0.000015       14 has_lt
0.000017       15 has_lt.lt
0.000019       16 nat.less_than_or_equal
0.000018       17 nat.lt
0.000016       18 nat.has_lt
0.000015       19 has_add
0.000015       20 has_add.add
0.000018       21 bit0
0.000017       22 punit
0.000018       23 pprod
0.000020       24 nat.below
0.000018       25 pprod.fst
0.000018       26 nat.brec_on
0.000018       27 nat.cases_on
0.000015       28 id_rhs
0.000015       29 nat.add._main
0.000015       30 nat.add
0.000018       31 nat.has_add
0.000015       32 bit1
0.000015       33 nat.has_one
0.000015       34 and
0.000018       35 is_valid_char
0.000015       36 char
0.000015       37 string_imp
0.000015       38 string
0.000016       39 subtype
0.000015       40 fin
0.000017       41 unsigned_sz
0.000016       42 unsigned
0.000015       43 name
0.000015       44 auto_param
0.000017       45 has_zero
0.000016       46 has_zero.zero
0.000015       47 nat.has_zero
0.000015       48 mul_one_class
0.000017       49 mul_one_class.one
0.000016       50 mul_one_class.to_has_one
0.000015       51 string_imp.cases_on
0.000015       52 has_append
0.000015       53 has_append.append
0.000017       54 list.below
0.000016       55 list.brec_on
0.000015       56 list.cases_on
0.000015       57 list.append._main
0.000017       58 list.append
0.000016       59 list.has_append
0.000015       60 string.push._main
0.000015       61 string.push
0.000015       62 string.str
0.000018       63 string.empty
0.000015       64 decidable.rec_on
0.000015       65 dite
0.000015       66 or.decidable
0.000017       67 has_le
0.000016       68 has_le.le
0.000015       69 nat.has_le
0.000015       70 nat.le_refl
0.000017       71 nat.zero_le
0.000016       72 nat.less_than_or_equal.dcases_on
0.000015       73 heq
0.000015       74 nat.no_confusion_type
0.000018       75 nat.no_confusion
0.000015       76 nat.not_succ_le_zero
0.000016       77 decidable.cases_on
0.000015       78 nat.pred._main
0.000015       79 nat.pred
0.000017       80 nat.less_than_or_equal.rec_on
0.000016       81 nat.pred_le_pred
0.000015       82 nat.le_of_succ_le_succ
0.000015       83 nat.succ_le_succ
0.000017       84 nat.decidable_le._match_1
0.000016       85 nat.decidable_le._main
0.000015       86 nat.decidable_le
0.000015       87 nat.decidable_lt
0.000017       88 and.right
0.000015       89 and.decidable._proof_1
0.000015       90 and.left
0.000015       91 and.decidable._proof_2
0.000018       92 and.decidable
0.000015       93 ne
0.000015       94 absurd
0.000015       95 rfl
0.000017       96 eq.subst
0.000016       97 trans_rel_left
0.000015       98 nat.zero_lt_succ
0.000015       99 eq.symm
0.000017      100 congr
0.000016      101 congr_arg
0.000015      102 nat.succ_add
0.000015      103 nat.bit0_succ_eq
0.000017      104 nat.zero_lt_bit0
0.000016      105 nat.bit0_ne_zero
0.000015      106 nat.bit1_ne_zero
0.000015      107 char.zero_lt_d800
0.000015      108 char.of_nat._proof_1
0.000017      109 char.of_nat
0.000016      110 mul_one_class.mul
0.000015      111 mul_one_class.to_has_mul
0.000015      112 semigroup
0.000017      113 semigroup.mul
0.000016      114 semigroup.to_has_mul
0.000015      115 has_div
0.000015      116 has_div.div
0.000015      117 monoid
0.000017      118 monoid.one
0.000016      119 monoid.mul
0.000015      120 monoid.one_mul
0.000014      121 monoid.mul_one
0.000018      122 monoid.to_mul_one_class
0.000015      123 has_inv
0.000015      124 has_inv.inv
0.000015      125 Exists
0.000017      126 div_inv_monoid
0.000016      127 div_inv_monoid.inv
0.000015      128 div_inv_monoid.to_has_inv
0.000015      129 mul_zero_class
0.000017      130 mul_zero_class.zero
0.000016      131 mul_zero_class.to_has_zero
0.000015      132 mul_zero_one_class
0.000015      133 mul_zero_one_class.mul
0.000017      134 mul_zero_one_class.zero
0.000016      135 mul_zero_one_class.zero_mul
0.000018      136 mul_zero_one_class.mul_zero
0.000016      137 mul_zero_one_class.to_mul_zero_class
0.000015      138 monoid_with_zero
0.000015      139 monoid_with_zero.one
0.000017      140 monoid_with_zero.mul
0.000016      141 monoid_with_zero.one_mul
0.000015      142 monoid_with_zero.mul_one
0.000018      143 monoid_with_zero.zero
0.000015      144 monoid_with_zero.zero_mul
0.000015      145 monoid_with_zero.mul_zero
0.000015      146 monoid_with_zero.to_mul_zero_one_class
0.000018      147 mul_zero_class.mul
0.000016      148 mul_zero_class.to_has_mul
0.000015      149 mul_zero_one_class.one
0.000014      150 mul_zero_one_class.one_mul
0.000018      151 mul_zero_one_class.mul_one
0.000015      152 mul_zero_one_class.to_mul_one_class
0.000015      153 comm_group_with_zero
0.000015      154 group_with_zero
0.000017      155 group_with_zero.mul
0.000016      156 group_with_zero.mul_assoc
0.000015      157 group_with_zero.one
0.000015      158 group_with_zero.one_mul
0.000018      159 group_with_zero.mul_one
0.000015      160 group_with_zero.npow
0.000015      161 group_with_zero.npow_zero'
0.000015      162 group_with_zero.npow_succ'
0.000018      163 group_with_zero.zero
0.000015      164 group_with_zero.zero_mul
0.000015      165 group_with_zero.mul_zero
0.000015      166 group_with_zero.to_monoid_with_zero
0.107774      167 comm_group_with_zero.mul
0.000044      168 comm_group_with_zero.mul_assoc
0.000031      169 comm_group_with_zero.one
0.000027      170 comm_group_with_zero.one_mul
0.000026      171 comm_group_with_zero.mul_one
0.000019      172 comm_group_with_zero.npow
0.000015      173 comm_group_with_zero.npow_zero'
0.000016      174 comm_group_with_zero.npow_succ'
0.000015      175 comm_group_with_zero.zero
0.000015      176 comm_group_with_zero.zero_mul
0.000015      177 comm_group_with_zero.mul_zero
0.000019      178 comm_group_with_zero.inv
0.000018      179 comm_group_with_zero.div
0.000016      180 comm_group_with_zero.div_eq_mul_inv
0.000018      181 comm_group_with_zero.exists_pair_ne
0.000016      182 comm_group_with_zero.inv_zero
0.000015      183 comm_group_with_zero.mul_inv_cancel
0.000015      184 comm_group_with_zero.to_group_with_zero
0.000017      185 has_lift_t
0.000016      186 has_lift_t.lift
0.000015      187 lift_t
0.000015      188 coe
0.000015      189 units
0.000017      190 monoid_with_zero.mul_assoc
0.000016      191 monoid_with_zero.npow
0.000015      192 monoid_with_zero.npow_zero'
0.000015      193 monoid_with_zero.npow_succ'
0.000017      194 monoid_with_zero.to_monoid
0.000016      195 comm_monoid_with_zero
0.000015      196 comm_monoid_with_zero.mul
0.000015      197 comm_monoid_with_zero.mul_assoc
0.000017      198 comm_monoid_with_zero.one
0.000016      199 comm_monoid_with_zero.one_mul
0.000015      200 comm_monoid_with_zero.mul_one
0.000015      201 comm_monoid_with_zero.npow
0.000017      202 comm_monoid_with_zero.npow_zero'
0.000016      203 comm_monoid_with_zero.npow_succ'
0.000015      204 comm_monoid_with_zero.zero
0.000015      205 comm_monoid_with_zero.zero_mul
0.000015      206 comm_monoid_with_zero.mul_zero
0.000017      207 comm_monoid_with_zero.to_monoid_with_zero
0.000016      208 comm_cancel_monoid_with_zero
0.000015      209 comm_cancel_monoid_with_zero.mul
0.000015      210 comm_cancel_monoid_with_zero.mul_assoc
0.000017      211 comm_cancel_monoid_with_zero.one
0.000016      212 comm_cancel_monoid_with_zero.one_mul
0.000015      213 comm_cancel_monoid_with_zero.mul_one
0.000015      214 comm_cancel_monoid_with_zero.npow
0.000017      215 comm_cancel_monoid_with_zero.npow_zero'
0.000016      216 comm_cancel_monoid_with_zero.npow_succ'
0.000015      217 comm_cancel_monoid_with_zero.mul_comm
0.000015      218 comm_cancel_monoid_with_zero.zero
0.000017      219 comm_cancel_monoid_with_zero.zero_mul
0.000016      220 comm_cancel_monoid_with_zero.mul_zero
0.000015      221 comm_cancel_monoid_with_zero.to_comm_monoid_with_zero
0.000016      222 cancel_monoid_with_zero
0.000015      223 cancel_monoid_with_zero.mul
0.000014      224 eq.rec_on
0.000018      225 eq.mpr._proof_1
0.000016      226 eq.mpr
0.000015      227 group_with_zero.inv
0.000015      228 group_with_zero.div
0.000017      229 group_with_zero.div_eq_mul_inv
0.000015      230 group_with_zero.to_div_inv_monoid
0.000015      231 id
0.000015      232 eq.trans
0.000017      233 monoid.mul_assoc
0.000016      234 monoid.to_semigroup
0.000015      235 semigroup.mul_assoc
0.000024      236 mul_assoc
0.000017      237 true
0.000016      238 group_with_zero.mul_inv_cancel
0.000015      239 mul_inv_cancel
0.000014      240 iff
0.000015      241 iff.mpr
0.000016      242 iff.refl
0.000017      243 ne.def
0.000016      244 propext
0.000015      245 iff_false_intro
0.000015      246 trivial
0.000017      247 iff_true_intro
0.000016      248 not_false
0.000015      249 not_false_iff
0.000014      250 mul_one_class.mul_one
0.000017      251 mul_one
0.000016      252 eq_self_iff_true
0.000015      253 mul_inv_cancel_right'
0.000015      254 eq.mp
0.000017      255 mul_zero_class.mul_zero
0.000015      256 mul_zero
0.000015      257 nontrivial
0.000015      258 Exists.dcases_on
0.000017      259 nontrivial.exists_pair_ne
0.000015      260 exists_pair_ne
0.000016      261 mul_one_class.one_mul
0.000015      262 one_mul
0.000016      263 mul_zero_class.zero_mul
0.000016      264 zero_mul
0.000015      265 zero_ne_one
0.000015      266 group_with_zero.exists_pair_ne
0.000017      267 group_with_zero.to_nontrivial
0.000015      268 inv_ne_zero
0.000015      269 inv_mul_cancel
0.000015      270 inv_mul_cancel_left'
0.000017      271 group_with_zero.cancel_monoid_with_zero._proof_1
0.000016      272 group_with_zero.cancel_monoid_with_zero._proof_2
0.000015      273 group_with_zero.cancel_monoid_with_zero
0.000015      274 cancel_monoid_with_zero.mul_assoc
0.000017      275 comm_group_with_zero.comm_cancel_monoid_with_zero._proof_1
0.000016      276 cancel_monoid_with_zero.one
0.000014      277 cancel_monoid_with_zero.one_mul
0.000017      278 comm_group_with_zero.comm_cancel_monoid_with_zero._proof_2
0.000016      279 cancel_monoid_with_zero.mul_one
0.000015      280 comm_group_with_zero.comm_cancel_monoid_with_zero._proof_3
0.000017      281 cancel_monoid_with_zero.npow
0.000015      282 cancel_monoid_with_zero.npow_zero'
0.000015      283 comm_group_with_zero.comm_cancel_monoid_with_zero._proof_4
0.000017      284 cancel_monoid_with_zero.npow_succ'
0.244902      285 comm_group_with_zero.comm_cancel_monoid_with_zero._proof_5
0.000071      286 comm_group_with_zero.mul_comm
0.000028      287 comm_group_with_zero.to_comm_monoid_with_zero
0.000022      288 comm_monoid_with_zero.mul_comm
0.000015      289 comm_group_with_zero.comm_cancel_monoid_with_zero._proof_6
0.000016      290 cancel_monoid_with_zero.zero
0.000015      291 cancel_monoid_with_zero.zero_mul
0.000014      292 comm_group_with_zero.comm_cancel_monoid_with_zero._proof_7
0.000015      293 cancel_monoid_with_zero.mul_zero
0.000015      294 comm_group_with_zero.comm_cancel_monoid_with_zero._proof_8
0.000015      295 cancel_monoid_with_zero.mul_left_cancel_of_ne_zero
0.000015      296 comm_group_with_zero.comm_cancel_monoid_with_zero._proof_9
0.000015      297 cancel_monoid_with_zero.mul_right_cancel_of_ne_zero
0.000020      298 comm_group_with_zero.comm_cancel_monoid_with_zero._proof_10
0.000016      299 comm_group_with_zero.comm_cancel_monoid_with_zero
0.000018      300 has_coe_t
0.000016      301 has_coe_t.coe
0.000018      302 coe_t
0.000018      303 coe_to_lift
0.000018      304 has_coe
0.000018      305 has_coe.coe
0.000018      306 coe_b
0.000018      307 coe_base
0.000016      308 units.val
0.000015      309 units.has_coe
0.000015      310 div_inv_monoid.mul
0.000017      311 div_inv_monoid.mul_assoc
0.000015      312 div_inv_monoid.one
0.000016      313 div_inv_monoid.one_mul
0.000015      314 div_inv_monoid.mul_one
0.000015      315 div_inv_monoid.npow
0.000017      316 div_inv_monoid.npow_zero'
0.000016      317 div_inv_monoid.npow_succ'
0.000015      318 div_inv_monoid.to_monoid
0.000015      319 group
0.000015      320 group.mul
0.000015      321 group.mul_assoc
0.000017      322 group.one
0.000016      323 group.one_mul
0.000016      324 group.mul_one
0.000014      325 group.npow
0.000018      326 group.npow_zero'
0.000016      327 group.npow_succ'
0.000015      328 group.inv
0.000015      329 group.div
0.000015      330 group.div_eq_mul_inv
0.000018      331 group.to_div_inv_monoid
0.000015      332 units.inv
0.000015      333 units.val_inv
0.000016      334 units.group._proof_1
0.000014      335 units.inv_val
0.000018      336 units.group._proof_2
0.000015      337 function.injective
0.000015      338 units.cases_on
0.000015      339 eq.drec
0.000016      340 units.ext
0.000015      341 units.group._proof_3
0.000017      342 units.group._proof_4
0.000016      343 units.group._proof_5
0.000015      344 units.group._proof_6
0.000015      345 units.group._proof_7
0.000018      346 npow_rec._main
0.000015      347 npow_rec
0.000015      348 monoid.npow._default
0.000015      349 div_inv_monoid.npow._default
0.000018      350 units.group._proof_8
0.000016      351 units.group._proof_9
0.000015      352 units.group._proof_10
0.000015      353 units.group._proof_11
0.000015      354 div_inv_monoid.div._default
0.000018      355 units.group._proof_12
0.000015      356 units.group._proof_13
0.000015      357 units.group._proof_14
0.000015      358 units.group._proof_15
0.000015      359 units.group._proof_16
0.000018      360 units.group._proof_17
0.000016      361 units.group._proof_18
0.000015      362 units.group
0.000015      363 normalization_monoid
0.000015      364 normalization_monoid.norm_unit
0.000017      365 comm_group_with_zero.normalization_monoid._proof_1
0.000016      366 comm_group_with_zero.normalization_monoid._proof_2
0.000015      367 units.mk0
0.000015      368 dif_pos
0.000018      369 comm_group_with_zero.normalization_monoid._proof_3
0.000015      370 iff.mp
0.000015      371 function.injective.eq_iff
0.000015      372 units.eq_iff
0.000018      373 cancel_monoid_with_zero.to_monoid_with_zero
0.000016      374 comm_cancel_monoid_with_zero.mul_left_cancel_of_ne_zero
0.000015      375 comm_cancel_monoid_with_zero.mul_right_cancel_of_ne_zero
0.000014      376 comm_cancel_monoid_with_zero.to_cancel_monoid_with_zero
0.000018      377 iff.elim_right
0.000016      378 iff.elim_left
0.000015      379 not_iff_not_of_iff
0.000015      380 iff.trans
0.000015      381 no_zero_divisors
0.000017      382 no_zero_divisors.eq_zero_or_eq_zero_of_mul_eq_zero
0.000016      383 or.elim
0.000015      384 mul_eq_zero_of_left
0.000015      385 mul_eq_zero_of_right
0.000017      386 mul_eq_zero
0.000016      387 decidable.by_contradiction
0.000015      388 nonempty
0.000015      389 classical.choice
0.000017      390 subtype.val
0.000016      391 classical.indefinite_description._match_1
0.000015      392 classical.indefinite_description
0.000015      393 classical.some
0.000018      394 _private.811303905.U
0.000015      395 _private.29268479.exU
0.000015      396 _private.2710871855.u
0.000016      397 _private.3867973571.V
0.000015      398 _private.760126093.exV
0.000017      399 _private.2053038997.v
0.000016      400 subtype.property
0.000015      401 classical.some_spec
0.000015      402 _private.1247348485.u_def
0.000016      403 _private.2871420677.v_def
0.000015      404 ne_false_of_self
0.000017      405 true_ne_false
0.000016      406 _private.1339425711.not_uv_or_p
0.000015      407 mt
0.000015      408 reflexive
0.000017      409 symmetric
0.000016      410 transitive
0.000015      411 equivalence
0.000015      412 setoid
0.000017      413 setoid.r
0.000016      414 quotient
0.115230      415 function.equiv
0.000053      416 mk_equivalence
0.000026      417 function.equiv.refl
0.000015      418 function.equiv.symm
0.000015      419 function.equiv.trans
0.000015      420 function.equiv.is_equivalence
0.000015      421 _private.1627920919.fun_setoid
0.000015      422 _private.531824637.extfun
0.000015      423 quot.lift_on
0.000015      424 _private.1158032381.extfun_app._proof_1
0.000015      425 _private.1158032381.extfun_app
0.000014      426 quotient.mk
0.000015      427 has_equiv
0.000021      428 has_equiv.equiv
0.000016      429 setoid_has_equiv
0.000017      430 quot.sound
0.000019      431 quotient.sound
0.000018      432 funext
0.000018      433 _private.2277208427.p_implies_uv
0.000016      434 classical.em
0.000015      435 classical.prop_decidable._proof_1
0.000015      436 classical.prop_decidable
0.000017      437 classical.by_contradiction
0.000018      438 imp_of_not_imp_not
0.000018      439 imp_congr
0.000018      440 iff.rfl
0.000016      441 eq.to_iff
0.000017      442 imp_congr_eq
0.000016      443 and.dcases_on
0.000015      444 not_or_distrib
0.000018      445 push_neg.not_or_eq
0.000016      446 push_neg.not_eq
0.000015      447 left_ne_zero_of_mul
0.000017      448 trans_rel_right
0.000016      449 ne.symm
0.000015      450 one_ne_zero
0.000017      451 ne_zero_of_eq_one
0.000015      452 left_ne_zero_of_mul_eq_one
0.000016      453 units.mul_inv
0.000015      454 units.ne_zero
0.000017      455 group_with_zero.no_zero_divisors
0.000016      456 or.imp
0.000014      457 or_congr
0.000016      458 or_self
0.000014      459 decidable.false
0.000018      460 dif_ctx_congr
0.000016      461 dif_neg
0.000015      462 right_ne_zero_of_mul
0.000015      463 right_ne_zero_of_mul_eq_one
0.000017      464 eq_inv_of_mul_left_eq_one
0.000016      465 units.inv_mul
0.000015      466 units.coe_inv'
0.000014      467 units.coe_mk0
0.000018      468 group_with_zero.inv_zero
0.000015      469 inv_zero
0.000015      470 mul_inv_rev'
0.000015      471 comm_semigroup
0.000017      472 comm_semigroup.mul
0.000016      473 comm_semigroup.mul_assoc
0.000023      474 comm_semigroup.to_semigroup
0.000017      475 comm_monoid
0.000016      476 comm_monoid.mul
0.000015      477 comm_monoid.mul_assoc
0.000020      478 comm_monoid.mul_comm
0.000016      479 comm_monoid.to_comm_semigroup
0.000016      480 comm_monoid_with_zero.to_comm_monoid
0.000015      481 comm_semigroup.mul_comm
0.000016      482 mul_comm
0.000016      483 mul_inv'
0.000015      484 units.coe_mul
0.000015      485 or_true
0.000017      486 iff_self
0.000015      487 mul_left_cancel'
0.000015      488 mul_right_inj'
0.000015      489 false.elim
0.000017      490 or_false
0.000016      491 mul_eq_mul_left_iff
0.000015      492 function.involutive
0.000015      493 function.left_inverse
0.000017      494 function.left_inverse.injective
0.000016      495 function.involutive.left_inverse
0.000015      496 function.involutive.injective
0.000015      497 mul_inv_cancel_left'
0.000017      498 inv_inv'
0.000016      499 inv_involutive'
0.000015      500 inv_injective'
0.000015      501 inv_inj'
0.000017      502 eq_comm
0.000016      503 inv_eq_iff
0.000015      504 inv_eq_zero
0.000015      505 comm_group_with_zero.normalization_monoid._proof_4
0.000017      506 units.mk0_coe
0.000016      507 comm_group_with_zero.normalization_monoid._proof_5
0.000014      508 comm_group_with_zero.normalization_monoid
0.000018      509 comm_group_with_zero.coe_norm_unit
0.000015      510 add_zero_class
0.000015      511 add_zero_class.zero
0.000015      512 add_zero_class.to_has_zero
0.000017      513 add_zero_class.add
0.000016      514 add_zero_class.to_has_add
0.000015      515 has_sub
0.000017      516 has_sub.sub
0.000015      517 add_monoid
0.000015      518 add_monoid.zero
0.000017      519 add_monoid.add
0.000015      520 add_monoid.zero_add
0.000015      521 add_monoid.add_zero
0.000017      522 add_monoid.to_add_zero_class
0.000016      523 has_neg
0.000015      524 has_neg.neg
0.000015      525 sub_neg_monoid
0.000017      526 sub_neg_monoid.add
0.000015      527 sub_neg_monoid.add_assoc
0.000015      528 sub_neg_monoid.zero
0.000017      529 sub_neg_monoid.zero_add
0.000016      530 sub_neg_monoid.add_zero
0.000014      531 sub_neg_monoid.nsmul
0.000018      532 sub_neg_monoid.nsmul_zero'
0.000015      533 sub_neg_monoid.nsmul_succ'
0.000016      534 sub_neg_monoid.to_add_monoid
0.000014      535 sub_neg_monoid.neg
0.000017      536 sub_neg_monoid.to_has_neg
0.000016      537 add_semigroup
0.000015      538 add_semigroup.add
0.000017      539 add_semigroup.to_has_add
0.000015      540 preorder
0.000015      541 preorder.le
0.000017      542 preorder.to_has_le
0.000015      543 partial_order
0.000015      544 partial_order.le
0.000017      545 partial_order.lt
0.000016      546 partial_order.le_refl
0.000015      547 partial_order.le_trans
0.000015      548 partial_order.lt_iff_le_not_le
0.000015      549 partial_order.to_preorder
0.000017      550 add_group
0.000016      551 add_group.add
0.000015      552 add_group.add_assoc
0.000017      553 add_group.zero
0.000015      554 add_group.zero_add
0.000015      555 add_group.add_zero
0.000015      556 add_group.nsmul
0.000017      557 add_group.nsmul_zero'
0.000016      558 add_group.nsmul_succ'
0.000015      559 add_group.neg
0.000015      560 add_group.sub
0.000017      561 add_group.sub_eq_add_neg
0.162398      562 add_group.to_sub_neg_monoid
0.000056      563 add_comm_group
0.000025      564 add_comm_group.add
0.000016      565 add_comm_group.add_assoc
0.000015      566 add_comm_group.zero
0.000015      567 add_comm_group.zero_add
0.000015      568 add_comm_group.add_zero
0.000015      569 add_comm_group.nsmul
0.000015      570 add_comm_group.nsmul_zero'
0.000016      571 add_comm_group.nsmul_succ'
0.000015      572 add_comm_group.neg
0.000074      573 add_comm_group.sub
0.000020      574 add_comm_group.sub_eq_add_neg
0.000019      575 add_comm_group.add_left_neg
0.000018      576 add_comm_group.to_add_group
0.000018      577 ordered_add_comm_group
0.000019      578 ordered_add_comm_group.le
0.000018      579 ordered_add_comm_group.lt
0.000016      580 ordered_add_comm_group.le_refl
0.000015      581 ordered_add_comm_group.le_trans
0.000014      582 ordered_add_comm_group.lt_iff_le_not_le
0.000018      583 ordered_add_comm_group.le_antisymm
0.000016      584 ordered_add_comm_group.to_partial_order
0.000015      585 semiring
0.000015      586 semiring.mul
0.000017      587 semiring.mul_assoc
0.000016      588 semiring.one
0.000015      589 semiring.one_mul
0.000014      590 semiring.mul_one
0.000017      591 semiring.npow
0.000016      592 semiring.npow_zero'
0.000015      593 semiring.npow_succ'
0.000015      594 semiring.zero
0.000018      595 semiring.zero_mul
0.000016      596 semiring.mul_zero
0.000014      597 semiring.to_monoid_with_zero
0.000015      598 ring
0.000018      599 ring.add
0.000015      600 ring.add_assoc
0.000015      601 ring.zero
0.000015      602 ring.zero_add
0.000018      603 ring.add_zero
0.000015      604 ring.nsmul
0.000015      605 ring.nsmul_zero'
0.000016      606 ring.nsmul_succ'
0.000015      607 ring.add_comm
0.000017      608 ring.mul
0.000015      609 ring.mul_assoc
0.000015      610 ring.one
0.000015      611 ring.one_mul
0.000017      612 ring.mul_one
0.000016      613 ring.npow
0.000015      614 ring.npow_zero'
0.000015      615 ring.npow_succ'
0.000017      616 add_left_cancel_semigroup
0.000016      617 add_left_cancel_semigroup.add
0.000015      618 add_left_cancel_semigroup.add_assoc
0.000014      619 add_left_cancel_semigroup.to_add_semigroup
0.000017      620 add_left_cancel_semigroup.add_left_cancel
0.000016      621 add_left_cancel
0.000015      622 add_left_cancel_monoid
0.000015      623 add_left_cancel_monoid.add
0.000017      624 add_left_cancel_monoid.add_assoc
0.000015      625 add_left_cancel_monoid.add_left_cancel
0.000016      626 add_left_cancel_monoid.to_add_left_cancel_semigroup
0.000015      627 add_cancel_comm_monoid
0.000017      628 add_cancel_comm_monoid.add
0.000016      629 add_cancel_comm_monoid.add_assoc
0.000015      630 add_cancel_comm_monoid.add_left_cancel
0.000014      631 add_cancel_comm_monoid.zero
0.000017      632 add_cancel_comm_monoid.zero_add
0.000016      633 add_cancel_comm_monoid.add_zero
0.000015      634 add_cancel_comm_monoid.nsmul
0.000015      635 add_cancel_comm_monoid.nsmul_zero'
0.000015      636 add_cancel_comm_monoid.nsmul_succ'
0.000017      637 add_cancel_comm_monoid.to_add_left_cancel_monoid
0.000016      638 add_cancel_monoid
0.000014      639 add_cancel_monoid.add
0.000015      640 add_monoid.add_assoc
0.000015      641 add_monoid.to_add_semigroup
0.000015      642 add_semigroup.add_assoc
0.000017      643 add_assoc
0.000016      644 add_group.add_left_neg
0.000015      645 add_left_neg
0.000015      646 add_zero_class.zero_add
0.000017      647 zero_add
0.000015      648 neg_add_cancel_left
0.000015      649 add_group.to_cancel_add_monoid._proof_1
0.000015      650 add_zero_class.add_zero
0.000017      651 add_zero
0.000016      652 left_neg_eq_right_neg
0.000015      653 neg_add_self
0.000015      654 neg_eq_of_add_eq_zero
0.000017      655 neg_neg
0.000016      656 add_right_neg
0.000014      657 add_neg_cancel_right
0.000015      658 add_group.to_cancel_add_monoid._proof_2
0.000017      659 add_group.to_cancel_add_monoid
0.000016      660 add_cancel_monoid.add_assoc
0.000015      661 add_cancel_monoid.add_left_cancel
0.000015      662 add_comm_group.to_cancel_add_comm_monoid._proof_1
0.000017      663 add_comm_group.add_comm
0.000016      664 add_comm_group.to_cancel_add_comm_monoid
0.000015      665 ring.neg
0.000015      666 ring.sub
0.000014      667 ring.sub_eq_add_neg
0.000018      668 ring.add_left_neg
0.000015      669 ring.to_add_comm_group
0.000016      670 distrib
0.000015      671 distrib.mul
0.000016      672 distrib.to_has_mul
0.000016      673 ring.left_distrib
0.000015      674 ring.right_distrib
0.000015      675 ring.to_distrib
0.000017      676 distrib.add
0.000015      677 distrib.to_has_add
0.000016      678 distrib.right_distrib
0.000014      679 right_distrib
0.000018      680 add_mul
0.000015      681 ring.to_semiring._proof_1
0.000016      682 distrib.left_distrib
0.000015      683 left_distrib
0.000017      684 mul_add
0.000015      685 ring.to_semiring._proof_2
0.000015      686 ring.to_semiring
0.000015      687 preorder.lt
0.000017      688 preorder.to_has_lt
0.000016      689 comm_ring
0.000015      690 comm_ring.add
0.000015      691 comm_ring.add_assoc
0.000017      692 comm_ring.zero
0.000016      693 comm_ring.zero_add
0.381721      694 comm_ring.add_zero
0.000075      695 comm_ring.nsmul
0.000022      696 comm_ring.nsmul_zero'
0.000016      697 comm_ring.nsmul_succ'
0.000015      698 comm_ring.neg
0.000014      699 comm_ring.sub
0.000015      700 comm_ring.sub_eq_add_neg
0.000015      701 comm_ring.add_left_neg
0.000014      702 comm_ring.add_comm
0.000015      703 comm_ring.mul
0.000015      704 comm_ring.mul_assoc
0.000015      705 comm_ring.one
0.000015      706 comm_ring.one_mul
0.000015      707 comm_ring.mul_one
0.000014      708 comm_ring.npow
0.000015      709 comm_ring.npow_zero'
0.000015      710 comm_ring.npow_succ'
0.000018      711 comm_ring.left_distrib
0.000026      712 comm_ring.right_distrib
0.000016      713 comm_ring.to_ring
0.000016      714 linear_ordered_field
0.000015      715 directed_order
0.000017      716 directed_order.to_preorder
0.000019      717 linear_order
0.000018      718 has_inf
0.000018      719 has_inf.inf
0.000018      720 semilattice_inf
0.000018      721 semilattice_inf.le
0.000018      722 semilattice_inf.lt
0.000018      723 semilattice_inf.le_refl
0.000016      724 semilattice_inf.le_trans
0.000015      725 semilattice_inf.lt_iff_le_not_le
0.000015      726 semilattice_inf.le_antisymm
0.000015      727 semilattice_inf.to_partial_order
0.000017      728 has_sup
0.000016      729 has_sup.sup
0.000014      730 lattice
0.000018      731 lattice.inf
0.000015      732 lattice.le
0.000015      733 lattice.lt
0.000017      734 lattice.le_refl
0.000016      735 lattice.le_trans
0.000015      736 lattice.lt_iff_le_not_le
0.000015      737 lattice.le_antisymm
0.000017      738 lattice.inf_le_left
0.000016      739 lattice.inf_le_right
0.000015      740 lattice.le_inf
0.000017      741 lattice.to_semilattice_inf
0.000016      742 ite
0.000015      743 linear_order.le
0.000014      744 linear_order.lt
0.000018      745 linear_order.le_refl
0.000015      746 linear_order.le_trans
0.000015      747 linear_order.lt_iff_le_not_le
0.000015      748 linear_order.le_antisymm
0.000017      749 linear_order.to_partial_order
0.000016      750 linear_order.decidable_le
0.000015      751 has_le.le.decidable
0.000018      752 max
0.000015      753 max.equations._eqn_1
0.000017      754 decidable.true
0.000016      755 if_ctx_congr
0.000018      756 if_congr
0.000015      757 if_pos
0.000017      758 preorder.le_refl
0.000016      759 le_refl
0.000017      760 if_neg
0.000016      761 or.resolve_left
0.000017      762 linear_order.le_total
0.000016      763 le_total
0.000014      764 le_of_not_le
0.000017      765 le_max_left
0.000016      766 le_max_right
0.000015      767 max_le
0.000015      768 lattice_of_linear_order._proof_1
0.000016      769 min
0.000016      770 min.equations._eqn_1
0.000015      771 min_le_left
0.000015      772 min_le_right
0.000018      773 le_min
0.000016      774 lattice_of_linear_order._proof_2
0.000014      775 lattice_of_linear_order
0.000015      776 or.cases_on
0.000018      777 linear_order.to_directed_order._proof_1
0.000016      778 linear_order.to_directed_order
0.000015      779 linear_ordered_ring
0.000015      780 linear_ordered_ring.le
0.000015      781 linear_ordered_ring.lt
0.000015      782 linear_ordered_ring.le_refl
0.000017      783 linear_ordered_ring.le_trans
0.000016      784 linear_ordered_ring.lt_iff_le_not_le
0.000015      785 linear_ordered_ring.le_antisymm
0.000015      786 linear_ordered_ring.le_total
0.000015      787 linear_ordered_ring.decidable_le
0.000017      788 linear_ordered_ring.decidable_eq
0.000016      789 linear_ordered_ring.decidable_lt
0.000015      790 linear_ordered_ring.to_linear_order
0.000015      791 linear_ordered_comm_ring
0.000017      792 linear_ordered_comm_ring.add
0.000016      793 linear_ordered_comm_ring.add_assoc
0.000015      794 linear_ordered_comm_ring.zero
0.000015      795 linear_ordered_comm_ring.zero_add
0.000017      796 linear_ordered_comm_ring.add_zero
0.000016      797 linear_ordered_comm_ring.nsmul
0.000015      798 linear_ordered_comm_ring.nsmul_zero'
0.000015      799 linear_ordered_comm_ring.nsmul_succ'
0.000017      800 linear_ordered_comm_ring.neg
0.000016      801 linear_ordered_comm_ring.sub
0.000015      802 linear_ordered_comm_ring.sub_eq_add_neg
0.000015      803 linear_ordered_comm_ring.add_left_neg
0.000015      804 linear_ordered_comm_ring.add_comm
0.000017      805 linear_ordered_comm_ring.mul
0.000016      806 linear_ordered_comm_ring.mul_assoc
0.000015      807 linear_ordered_comm_ring.one
0.000015      808 linear_ordered_comm_ring.one_mul
0.000017      809 linear_ordered_comm_ring.mul_one
0.000015      810 linear_ordered_comm_ring.npow
0.000015      811 linear_ordered_comm_ring.npow_zero'
0.000015      812 linear_ordered_comm_ring.npow_succ'
0.000017      813 linear_ordered_comm_ring.left_distrib
0.000015      814 linear_ordered_comm_ring.right_distrib
0.000015      815 linear_ordered_comm_ring.le
0.000015      816 linear_ordered_comm_ring.lt
0.000017      817 linear_ordered_comm_ring.le_refl
0.000016      818 linear_ordered_comm_ring.le_trans
0.000015      819 linear_ordered_comm_ring.lt_iff_le_not_le
0.000017      820 linear_ordered_comm_ring.le_antisymm
0.000016      821 linear_ordered_comm_ring.add_le_add_left
1.289885      822 linear_ordered_comm_ring.zero_le_one
0.000081      823 linear_ordered_comm_ring.mul_pos
0.000021      824 linear_ordered_comm_ring.le_total
0.000016      825 linear_ordered_comm_ring.decidable_le
0.000016      826 linear_ordered_comm_ring.decidable_eq
0.000015      827 linear_ordered_comm_ring.decidable_lt
0.000014      828 linear_ordered_comm_ring.exists_pair_ne
0.000015      829 linear_ordered_comm_ring.to_linear_ordered_ring
0.000015      830 linear_ordered_field.add
0.000015      831 linear_ordered_field.add_assoc
0.000020      832 linear_ordered_field.zero
0.000019      833 linear_ordered_field.zero_add
0.000018      834 linear_ordered_field.add_zero
0.000016      835 linear_ordered_field.nsmul
0.000018      836 linear_ordered_field.nsmul_zero'
0.000018      837 linear_ordered_field.nsmul_succ'
0.000019      838 linear_ordered_field.neg
0.000016      839 linear_ordered_field.sub
0.000030      840 linear_ordered_field.sub_eq_add_neg
0.000016      841 linear_ordered_field.add_left_neg
0.000015      842 linear_ordered_field.add_comm
0.000015      843 linear_ordered_field.mul
0.000015      844 linear_ordered_field.mul_assoc
0.000018      845 linear_ordered_field.one
0.000018      846 linear_ordered_field.one_mul
0.000018      847 linear_ordered_field.mul_one
0.000018      848 linear_ordered_field.npow
0.000018      849 linear_ordered_field.npow_zero'
0.000019      850 linear_ordered_field.npow_succ'
0.000018      851 linear_ordered_field.left_distrib
0.000018      852 linear_ordered_field.right_distrib
0.000018      853 linear_ordered_field.le
0.000018      854 linear_ordered_field.lt
0.000018      855 linear_ordered_field.le_refl
0.000018      856 linear_ordered_field.le_trans
0.000018      857 linear_ordered_field.lt_iff_le_not_le
0.000019      858 linear_ordered_field.le_antisymm
0.000017      859 linear_ordered_field.add_le_add_left
0.000019      860 linear_ordered_field.zero_le_one
0.000017      861 linear_ordered_field.mul_pos
0.000019      862 linear_ordered_field.le_total
0.000018      863 linear_ordered_field.decidable_le
0.000018      864 linear_ordered_field.decidable_eq
0.000017      865 linear_ordered_field.decidable_lt
0.000018      866 linear_ordered_field.exists_pair_ne
0.000018      867 linear_ordered_field.mul_comm
0.000018      868 linear_ordered_field.to_linear_ordered_comm_ring
0.000018      869 ordered_ring
0.000018      870 ordered_ring.add
0.000018      871 ordered_ring.add_assoc
0.000018      872 ordered_ring.zero
0.000018      873 ordered_ring.zero_add
0.000018      874 ordered_ring.add_zero
0.000018      875 ordered_ring.nsmul
0.000018      876 ordered_ring.nsmul_zero'
0.000018      877 ordered_ring.nsmul_succ'
0.000018      878 ordered_ring.neg
0.000018      879 ordered_ring.sub
0.000018      880 ordered_ring.sub_eq_add_neg
0.000018      881 ordered_ring.add_left_neg
0.000018      882 ordered_ring.add_comm
0.000018      883 ordered_ring.mul
0.000018      884 ordered_ring.mul_assoc
0.000018      885 ordered_ring.one
0.000018      886 ordered_ring.one_mul
0.000018      887 ordered_ring.mul_one
0.000018      888 ordered_ring.npow
0.000018      889 ordered_ring.npow_zero'
0.000018      890 ordered_ring.npow_succ'
0.000018      891 ordered_ring.left_distrib
0.000018      892 ordered_ring.right_distrib
0.000018      893 ordered_ring.to_ring
0.000018      894 linear_ordered_ring.add
0.000018      895 linear_ordered_ring.add_assoc
0.000018      896 linear_ordered_ring.zero
0.000018      897 linear_ordered_ring.zero_add
0.000017      898 linear_ordered_ring.add_zero
0.000019      899 linear_ordered_ring.nsmul
0.000017      900 linear_ordered_ring.nsmul_zero'
0.000018      901 linear_ordered_ring.nsmul_succ'
0.000018      902 linear_ordered_ring.neg
0.000018      903 linear_ordered_ring.sub
0.000018      904 linear_ordered_ring.sub_eq_add_neg
0.000019      905 linear_ordered_ring.add_left_neg
0.000017      906 linear_ordered_ring.add_comm
0.000018      907 linear_ordered_ring.mul
0.000018      908 linear_ordered_ring.mul_assoc
0.000018      909 linear_ordered_ring.one
0.000018      910 linear_ordered_ring.one_mul
0.000018      911 linear_ordered_ring.mul_one
0.000018      912 linear_ordered_ring.npow
0.000018      913 linear_ordered_ring.npow_zero'
0.000018      914 linear_ordered_ring.npow_succ'
0.000018      915 linear_ordered_ring.left_distrib
0.000018      916 linear_ordered_ring.right_distrib
0.000018      917 linear_ordered_ring.add_le_add_left
0.000018      918 linear_ordered_ring.zero_le_one
0.000018      919 linear_ordered_ring.mul_pos
0.000018      920 linear_ordered_ring.to_ordered_ring
0.000018      921 is_absolute_value
0.000018      922 gt
0.000018      923 ge
0.000017      924 sub_neg_monoid.sub
0.000019      925 sub_neg_monoid.to_has_sub
0.000017      926 is_cau_seq
0.000019      927 cau_seq
0.000017      928 has_coe_to_fun
0.000018      929 has_coe_to_fun.F
0.000018      930 has_coe_to_fun.coe
0.000018      931 coe_fn
0.000018      932 cau_seq.has_coe_to_fun
0.000016      933 nat.le_trans
0.000017      934 nat.le_succ
0.000018      935 nat.le_of_succ_le
0.000018      936 nat.le_of_lt
0.000018      937 nat.not_succ_le_self
0.513405      938 nat.lt_irrefl
0.000077      939 nat.lt_of_le_of_lt
0.000021      940 or.resolve_right
0.000016      941 or.swap
0.000015      942 nat.less_than_or_equal.cases_on
0.000015      943 nat.eq_or_lt_of_le
0.000015      944 nat.lt_of_le_and_ne
0.000015      945 nat.lt_iff_le_not_le
0.000021      946 nat.le_antisymm
0.000018      947 or.imp_left
0.000018      948 or.dcases_on
0.000016      949 nat.le_succ_of_le
0.000017      950 nat.lt.base
0.000016      951 nat.lt_succ_self
0.000018      952 nat.lt_or_ge
0.000018      953 nat.le_total
0.000016      954 nat.decidable_eq._match_1
0.000015      955 nat.decidable_eq._main
0.000015      956 nat.decidable_eq
0.000015      957 nat.linear_order
0.000017      958 cau_seq.has_add._match_1
0.000016      959 cau_seq.has_add._match_2
0.000018      960 le_rfl
0.000016      961 exists_ge_of_linear
0.000018      962 preorder.le_trans
0.000016      963 le_trans
0.000014      964 exists_forall_ge_and
0.000015      965 exists.elim
0.000018      966 exists_imp_exists
0.000016      967 Exists.imp
0.000017      968 div_inv_monoid.div
0.000018      969 div_inv_monoid.to_has_div
0.000018      970 field
0.000018      971 field.mul
0.000018      972 field.mul_assoc
0.000018      973 field.one
0.000018      974 field.one_mul
0.000018      975 field.mul_one
0.000018      976 field.npow
0.000018      977 field.npow_zero'
0.000018      978 field.npow_succ'
0.000018      979 field.inv
0.000018      980 field.div
0.000018      981 field.div_eq_mul_inv
0.000018      982 field.to_div_inv_monoid
0.000017      983 linear_ordered_field.inv
0.000032      984 linear_ordered_field.div
0.000019      985 linear_ordered_field.div_eq_mul_inv
0.000019      986 linear_ordered_field.mul_inv_cancel
0.000018      987 linear_ordered_field.inv_zero
0.000019      988 linear_ordered_field.to_field
0.000018      989 division_ring
0.000018      990 division_ring.mul
0.000018      991 division_ring.mul_assoc
0.000018      992 division_ring.one
0.000018      993 division_ring.one_mul
0.000018      994 division_ring.mul_one
0.000018      995 division_ring.npow
0.000018      996 division_ring.npow_zero'
0.000018      997 division_ring.npow_succ'
0.000018      998 division_ring.inv
0.000018      999 division_ring.div
0.000018     1000 division_ring.div_eq_mul_inv
0.000017     1001 division_ring.to_div_inv_monoid
0.000018     1002 field.add
0.000018     1003 field.add_assoc
0.000019     1004 field.to_division_ring._proof_1
0.000017     1005 field.zero
0.000019     1006 field.zero_add
0.000018     1007 field.to_division_ring._proof_2
0.000018     1008 field.add_zero
0.000018     1009 field.to_division_ring._proof_3
0.000018     1010 field.nsmul
0.000017     1011 field.nsmul_zero'
0.000018     1012 field.to_division_ring._proof_4
0.000018     1013 field.nsmul_succ'
0.000018     1014 field.to_division_ring._proof_5
0.000018     1015 field.neg
0.000018     1016 field.sub
0.000018     1017 field.sub_eq_add_neg
0.000018     1018 field.to_division_ring._proof_6
0.000018     1019 field.add_left_neg
0.000018     1020 field.to_division_ring._proof_7
0.000018     1021 field.add_comm
0.000018     1022 field.to_division_ring._proof_8
0.000018     1023 field.to_division_ring._proof_9
0.000018     1024 field.to_division_ring._proof_10
0.000018     1025 field.to_division_ring._proof_11
0.000018     1026 field.to_division_ring._proof_12
0.000018     1027 field.to_division_ring._proof_13
0.000018     1028 field.left_distrib
0.000018     1029 field.to_division_ring._proof_14
0.000017     1030 field.right_distrib
0.000018     1031 field.to_division_ring._proof_15
0.000018     1032 field.to_division_ring._proof_16
0.000018     1033 field.exists_pair_ne
0.000018     1034 field.to_division_ring._proof_17
0.000017     1035 field.mul_comm
0.000018     1036 field.mul_inv_cancel
0.000018     1037 field.to_division_ring._proof_18
0.000018     1038 field.inv_zero
0.000016     1039 field.to_division_ring._proof_19
0.000015     1040 field.to_division_ring
0.000018     1041 division_ring.add
0.000018     1042 division_ring.add_assoc
0.000018     1043 division_ring.zero
0.000018     1044 division_ring.zero_add
0.000018     1045 division_ring.add_zero
0.000018     1046 division_ring.nsmul
0.000018     1047 division_ring.nsmul_zero'
0.000018     1048 division_ring.nsmul_succ'
0.000018     1049 division_ring.neg
0.000018     1050 division_ring.sub
0.000018     1051 division_ring.sub_eq_add_neg
0.000017     1052 division_ring.add_left_neg
0.000019     1053 division_ring.add_comm
0.000017     1054 division_ring.left_distrib
0.000018     1055 division_ring.right_distrib
0.000018     1056 division_ring.to_ring
0.000018     1057 div_inv_monoid.div_eq_mul_inv
0.000018     1058 div_eq_mul_inv
0.000018     1059 div_add_div_same
0.000018     1060 semiring.add
0.000018     1061 semiring.left_distrib
0.000018     1062 semiring.right_distrib
0.000018     1063 semiring.to_distrib
0.000018     1064 two_mul
0.000018     1065 infer_instance
0.000017     1066 division_ring.to_group_with_zero._proof_1
0.000018     1067 division_ring.to_group_with_zero._proof_2
0.000018     1068 division_ring.exists_pair_ne
0.000018     1069 division_ring.inv_zero
0.000018     1070 division_ring.mul_inv_cancel
0.000018     1071 division_ring.to_group_with_zero
0.183312     1072 field.to_comm_group_with_zero._proof_1
0.000073     1073 field.to_comm_group_with_zero._proof_2
0.000025     1074 field.to_comm_group_with_zero._proof_3
0.000015     1075 field.to_comm_group_with_zero._proof_4
0.000015     1076 field.to_comm_group_with_zero._proof_5
0.000015     1077 field.to_comm_group_with_zero._proof_6
0.000015     1078 field.to_comm_group_with_zero._proof_7
0.000015     1079 field.to_comm_group_with_zero._proof_8
0.000015     1080 field.to_comm_group_with_zero._proof_9
0.000015     1081 field.to_comm_group_with_zero._proof_10
0.000018     1082 field.to_comm_group_with_zero._proof_11
0.000018     1083 field.to_comm_group_with_zero
0.000016     1084 add_right_cancel_monoid
0.000015     1085 add_right_cancel_monoid.add
0.000015     1086 add_right_cancel_monoid.add_assoc
0.000018     1087 add_right_cancel_monoid.zero
0.000016     1088 add_right_cancel_monoid.zero_add
0.000017     1089 add_right_cancel_monoid.add_zero
0.000016     1090 add_right_cancel_monoid.nsmul
0.000015     1091 add_right_cancel_monoid.nsmul_zero'
0.000015     1092 add_right_cancel_monoid.nsmul_succ'
0.000017     1093 add_right_cancel_monoid.to_add_monoid
0.000015     1094 add_cancel_monoid.add_right_cancel
0.000018     1095 add_cancel_monoid.zero
0.000019     1096 add_cancel_monoid.zero_add
0.000018     1097 add_cancel_monoid.add_zero
0.000018     1098 add_cancel_monoid.nsmul
0.000016     1099 add_cancel_monoid.nsmul_zero'
0.000015     1100 add_cancel_monoid.nsmul_succ'
0.000015     1101 add_cancel_monoid.to_add_right_cancel_monoid
0.000017     1102 add_comm_semigroup
0.000018     1103 add_comm_semigroup.add
0.000019     1104 add_comm_semigroup.add_assoc
0.000018     1105 add_comm_semigroup.to_add_semigroup
0.000018     1106 add_comm_monoid
0.000018     1107 add_comm_monoid.add
0.000018     1108 add_comm_monoid.add_assoc
0.000018     1109 add_comm_monoid.add_comm
0.000018     1110 add_comm_monoid.to_add_comm_semigroup
0.000018     1111 add_cancel_comm_monoid.add_comm
0.000018     1112 add_cancel_comm_monoid.to_add_comm_monoid
0.000018     1113 add_comm_semigroup.add_comm
0.000018     1114 add_comm
0.000018     1115 add_cancel_comm_monoid.to_cancel_add_monoid._proof_1
0.000018     1116 add_cancel_comm_monoid.to_cancel_add_monoid
0.000018     1117 ordered_cancel_add_comm_monoid
0.000018     1118 ordered_cancel_add_comm_monoid.le
0.000018     1119 ordered_cancel_add_comm_monoid.lt
0.000018     1120 ordered_cancel_add_comm_monoid.le_refl
0.000018     1121 ordered_cancel_add_comm_monoid.le_trans
0.000018     1122 ordered_cancel_add_comm_monoid.lt_iff_le_not_le
0.000018     1123 ordered_cancel_add_comm_monoid.le_antisymm
0.000018     1124 ordered_cancel_add_comm_monoid.to_partial_order
0.000018     1125 ordered_semiring
0.000015     1126 ordered_semiring.add
0.000018     1127 ordered_semiring.add_assoc
0.000017     1128 ordered_semiring.zero
0.000018     1129 ordered_semiring.zero_add
0.000018     1130 ordered_semiring.add_zero
0.000018     1131 ordered_semiring.nsmul
0.000018     1132 ordered_semiring.nsmul_zero'
0.000019     1133 ordered_semiring.nsmul_succ'
0.000017     1134 ordered_semiring.add_comm
0.000018     1135 ordered_semiring.mul
0.000018     1136 ordered_semiring.mul_assoc
0.000018     1137 ordered_semiring.one
0.000018     1138 ordered_semiring.one_mul
0.000018     1139 ordered_semiring.mul_one
0.000018     1140 ordered_semiring.npow
0.000018     1141 ordered_semiring.npow_zero'
0.000018     1142 ordered_semiring.npow_succ'
0.000018     1143 ordered_semiring.zero_mul
0.000019     1144 ordered_semiring.mul_zero
0.000018     1145 ordered_semiring.left_distrib
0.000018     1146 ordered_semiring.right_distrib
0.000018     1147 ordered_semiring.to_semiring
0.000018     1148 ordered_ring.to_ordered_semiring._proof_1
0.000018     1149 ordered_ring.to_ordered_semiring._proof_2
0.000018     1150 ordered_cancel_add_comm_monoid.add
0.000018     1151 ordered_cancel_add_comm_monoid.add_assoc
0.000018     1152 ordered_cancel_add_comm_monoid.add_left_cancel
0.000018     1153 ordered_cancel_add_comm_monoid.zero
0.000018     1154 ordered_cancel_add_comm_monoid.zero_add
0.000018     1155 ordered_cancel_add_comm_monoid.add_zero
0.000018     1156 ordered_cancel_add_comm_monoid.nsmul
0.000019     1157 ordered_cancel_add_comm_monoid.nsmul_zero'
0.000018     1158 ordered_cancel_add_comm_monoid.nsmul_succ'
0.000018     1159 ordered_cancel_add_comm_monoid.add_comm
0.000018     1160 ordered_cancel_add_comm_monoid.to_add_cancel_comm_monoid
0.000018     1161 ordered_add_comm_group.add
0.000018     1162 ordered_add_comm_group.add_assoc
0.000018     1163 ordered_add_comm_group.zero
0.000018     1164 ordered_add_comm_group.zero_add
0.000018     1165 ordered_add_comm_group.add_zero
0.000018     1166 ordered_add_comm_group.nsmul
0.000018     1167 ordered_add_comm_group.nsmul_zero'
0.000018     1168 ordered_add_comm_group.nsmul_succ'
0.000018     1169 ordered_add_comm_group.neg
0.000018     1170 ordered_add_comm_group.sub
0.843685     1171 ordered_add_comm_group.sub_eq_add_neg
0.000078     1172 ordered_add_comm_group.add_left_neg
0.000024     1173 ordered_add_comm_group.add_comm
0.000016     1174 ordered_add_comm_group.to_add_comm_group
0.000015     1175 ordered_add_comm_group.to_ordered_cancel_add_comm_monoid._proof_1
0.000015     1176 ordered_add_comm_group.add_le_add_left
0.000015     1177 ordered_add_comm_group.le_of_add_le_add_left
0.000015     1178 ordered_add_comm_group.to_ordered_cancel_add_comm_monoid
0.000015     1179 ordered_ring.le
0.000015     1180 ordered_ring.lt
0.000017     1181 ordered_ring.le_refl
0.000019     1182 ordered_ring.le_trans
0.000018     1183 ordered_ring.lt_iff_le_not_le
0.000016     1184 ordered_ring.le_antisymm
0.000015     1185 ordered_ring.add_le_add_left
0.000015     1186 ordered_ring.to_ordered_add_comm_group
0.000018     1187 ordered_ring.to_ordered_semiring._proof_3
0.000018     1188 ordered_cancel_add_comm_monoid.le_of_add_le_add_left
0.000018     1189 le_of_add_le_add_left
0.000016     1190 ordered_ring.to_ordered_semiring._proof_4
0.000015     1191 ordered_ring.zero_le_one
0.000015     1192 sub_neg_monoid.sub_eq_add_neg
0.000017     1193 sub_eq_add_neg
0.000016     1194 sub_self
0.000018     1195 add_comm_monoid.zero
0.000018     1196 add_comm_monoid.zero_add
0.000019     1197 add_comm_monoid.add_zero
0.000018     1198 add_comm_monoid.nsmul
0.000018     1199 add_comm_monoid.nsmul_zero'
0.000018     1200 add_comm_monoid.nsmul_succ'
0.000018     1201 add_comm_monoid.to_add_monoid
0.000018     1202 ordered_add_comm_monoid
0.000018     1203 ordered_add_comm_monoid.le
0.000018     1204 ordered_add_comm_monoid.lt
0.000018     1205 ordered_add_comm_monoid.le_refl
0.000018     1206 ordered_add_comm_monoid.le_trans
0.000018     1207 ordered_add_comm_monoid.lt_iff_le_not_le
0.000018     1208 ordered_add_comm_monoid.le_antisymm
0.000016     1209 ordered_add_comm_monoid.to_partial_order
0.000015     1210 ordered_add_comm_monoid.add
0.000017     1211 ordered_add_comm_monoid.add_assoc
0.000018     1212 ordered_add_comm_monoid.zero
0.000018     1213 ordered_add_comm_monoid.zero_add
0.000018     1214 ordered_add_comm_monoid.add_zero
0.000018     1215 ordered_add_comm_monoid.nsmul
0.000018     1216 ordered_add_comm_monoid.nsmul_zero'
0.000018     1217 ordered_add_comm_monoid.nsmul_succ'
0.000018     1218 ordered_add_comm_monoid.add_comm
0.000018     1219 ordered_add_comm_monoid.to_add_comm_monoid
0.000018     1220 ordered_add_comm_monoid.lt_of_add_lt_add_left
0.000018     1221 lt_of_add_lt_add_left
0.000017     1222 ordered_cancel_add_comm_monoid.add_le_add_left
0.000019     1223 preorder.lt_iff_le_not_le
0.000018     1224 lt_iff_le_not_le
0.000018     1225 lt_of_le_not_le
0.000018     1226 le_not_le_of_lt
0.000018     1227 le_of_lt
0.000018     1228 has_lt.lt.le
0.000018     1229 not_le_of_gt
0.000018     1230 ordered_cancel_add_comm_monoid.to_ordered_add_comm_monoid._proof_1
0.000018     1231 ordered_cancel_add_comm_monoid.to_ordered_add_comm_monoid
0.000018     1232 ordered_add_comm_monoid.add_le_add_left
0.000018     1233 add_le_add_left
0.000018     1234 add_lt_add_left
0.000018     1235 add_lt_add_iff_left
0.000018     1236 neg_lt_neg_iff
0.000018     1237 sub_lt_sub_iff_left
0.000018     1238 sub_pos
0.000018     1239 neg_mul_eq_mul_neg
0.000018     1240 mul_sub_left_distrib
0.000018     1241 mul_sub
0.000018     1242 ordered_ring.mul_pos
0.000018     1243 ordered_ring.mul_lt_mul_of_pos_left
0.000018     1244 neg_mul_eq_neg_mul
0.000018     1245 mul_sub_right_distrib
0.000018     1246 sub_mul
0.000018     1247 ordered_ring.mul_lt_mul_of_pos_right
0.000018     1248 ordered_ring.to_ordered_semiring
0.000018     1249 decidable.by_cases
0.000018     1250 classical.by_cases
0.000018     1251 div_zero
0.000018     1252 mul_div_cancel
0.000018     1253 mul_div_cancel_of_imp
0.000018     1254 mul_div_cancel_left_of_imp
0.000018     1255 mul_div_cancel_left
0.000017     1256 lt_irrefl
0.000018     1257 ne_of_lt
0.000018     1258 ordered_semiring.add_left_cancel
0.000019     1259 ordered_semiring.le
0.000017     1260 ordered_semiring.lt
0.000018     1261 ordered_semiring.le_refl
0.000030     1262 ordered_semiring.le_trans
0.000016     1263 ordered_semiring.lt_iff_le_not_le
0.000016     1264 ordered_semiring.le_antisymm
0.000014     1265 ordered_semiring.add_le_add_left
0.000020     1266 ordered_semiring.le_of_add_le_add_left
0.000018     1267 ordered_semiring.to_ordered_cancel_add_comm_monoid
0.000018     1268 lt_of_lt_of_le
0.000018     1269 le_add_of_nonneg_right
0.000018     1270 add_pos_of_pos_of_nonneg
0.000018     1271 add_pos
0.000018     1272 partial_order.le_antisymm
0.000018     1273 le_antisymm
0.000018     1274 lt_of_le_of_ne
0.000018     1275 ordered_semiring.zero_le_one
0.000018     1276 zero_le_one
0.000018     1277 zero_lt_one
0.000018     1278 zero_lt_two
0.000018     1279 two_ne_zero
0.000018     1280 linear_ordered_ring.exists_pair_ne
0.000018     1281 linear_ordered_ring.to_nontrivial
0.000018     1282 add_halves
0.000018     1283 lt_of_le_of_lt
0.000018     1284 is_absolute_value.abv_add
0.547176     1285 is_absolute_value.abv_sub_le
0.000076     1286 lt_trans
0.000024     1287 add_lt_add_right
0.000016     1288 add_lt_add
0.000015     1289 neg_sub
0.000015     1290 domain
0.000015     1291 domain.add
0.000015     1292 domain.add_assoc
0.000015     1293 domain.zero
0.000015     1294 domain.zero_add
0.000018     1295 domain.add_zero
0.000018     1296 domain.nsmul
0.000016     1297 domain.nsmul_zero'
0.000015     1298 domain.nsmul_succ'
0.000017     1299 domain.neg
0.000019     1300 domain.sub
0.000018     1301 domain.sub_eq_add_neg
0.000016     1302 domain.add_left_neg
0.000016     1303 domain.add_comm
0.000015     1304 domain.mul
0.000018     1305 domain.mul_assoc
0.000015     1306 domain.one
0.000028     1307 domain.one_mul
0.000018     1308 domain.mul_one
0.000016     1309 domain.npow
0.000015     1310 domain.npow_zero'
0.000015     1311 domain.npow_succ'
0.000015     1312 domain.left_distrib
0.000017     1313 domain.right_distrib
0.000018     1314 domain.to_ring
0.000016     1315 integral_domain
0.000015     1316 integral_domain.add
0.000017     1317 integral_domain.add_assoc
0.000016     1318 integral_domain.zero
0.000017     1319 integral_domain.zero_add
0.000019     1320 integral_domain.add_zero
0.000018     1321 integral_domain.nsmul
0.000018     1322 integral_domain.nsmul_zero'
0.000018     1323 integral_domain.nsmul_succ'
0.000018     1324 integral_domain.neg
0.000018     1325 integral_domain.sub
0.000018     1326 integral_domain.sub_eq_add_neg
0.000017     1327 integral_domain.add_left_neg
0.000019     1328 integral_domain.add_comm
0.000017     1329 integral_domain.mul
0.000019     1330 integral_domain.mul_assoc
0.000017     1331 integral_domain.one
0.000018     1332 integral_domain.one_mul
0.000018     1333 integral_domain.mul_one
0.000018     1334 integral_domain.npow
0.000018     1335 integral_domain.npow_zero'
0.000018     1336 integral_domain.npow_succ'
0.000018     1337 integral_domain.left_distrib
0.000018     1338 integral_domain.right_distrib
0.000018     1339 integral_domain.exists_pair_ne
0.000018     1340 integral_domain.eq_zero_or_eq_zero_of_mul_eq_zero
0.000018     1341 integral_domain.to_domain
0.000017     1342 lt_or_eq_of_le
0.000018     1343 lt_trichotomy
0.000018     1344 lt_or_gt_of_ne
0.000018     1345 has_lt.lt.ne
0.000018     1346 neg_lt_neg
0.000018     1347 lt_of_neg_lt_neg
0.000018     1348 ordered_semiring.mul_lt_mul_of_pos_right
0.000018     1349 mul_lt_mul_of_pos_right
0.000018     1350 neg_zero
0.000018     1351 neg_pos_of_neg
0.000018     1352 mul_lt_mul_of_neg_right
0.000018     1353 mul_pos_of_neg_of_neg
0.000017     1354 mul_neg_of_neg_of_pos
0.000019     1355 ordered_semiring.mul_lt_mul_of_pos_left
0.000017     1356 mul_lt_mul_of_pos_left
0.000019     1357 mul_neg_of_pos_of_neg
0.000017     1358 mul_pos
0.000018     1359 linear_ordered_ring.to_domain._proof_1
0.000018     1360 linear_ordered_ring.to_domain
0.000018     1361 linear_ordered_comm_ring.to_integral_domain._proof_1
0.000018     1362 linear_ordered_comm_ring.to_integral_domain._proof_2
0.000018     1363 linear_ordered_comm_ring.to_integral_domain._proof_3
0.000018     1364 linear_ordered_comm_ring.to_integral_domain._proof_4
0.000018     1365 linear_ordered_comm_ring.to_integral_domain._proof_5
0.000018     1366 linear_ordered_comm_ring.to_integral_domain._proof_6
0.000018     1367 linear_ordered_comm_ring.to_integral_domain._proof_7
0.000018     1368 linear_ordered_comm_ring.to_integral_domain._proof_8
0.000018     1369 linear_ordered_comm_ring.to_integral_domain._proof_9
0.000018     1370 linear_ordered_comm_ring.to_integral_domain._proof_10
0.000017     1371 linear_ordered_comm_ring.to_integral_domain._proof_11
0.000018     1372 linear_ordered_comm_ring.to_integral_domain._proof_12
0.000018     1373 linear_ordered_comm_ring.to_integral_domain._proof_13
0.000018     1374 linear_ordered_comm_ring.to_integral_domain._proof_14
0.000018     1375 linear_ordered_comm_ring.to_integral_domain._proof_15
0.000018     1376 linear_ordered_comm_ring.mul_comm
0.000018     1377 domain.exists_pair_ne
0.000018     1378 linear_ordered_comm_ring.to_integral_domain._proof_16
0.000018     1379 domain.eq_zero_or_eq_zero_of_mul_eq_zero
0.000018     1380 linear_ordered_comm_ring.to_integral_domain._proof_17
0.000018     1381 linear_ordered_comm_ring.to_integral_domain
0.000018     1382 neg_add_cancel_right
0.000017     1383 sub_add_cancel
0.000018     1384 eq_of_sub_eq_zero
0.000018     1385 sub_eq_zero
0.000018     1386 integral_domain.mul_comm
0.000018     1387 integral_domain.to_comm_ring
0.000018     1388 comm_ring.mul_comm
0.000018     1389 comm_ring.to_comm_monoid
0.000018     1390 add_sub_assoc
0.000018     1391 sub_add_sub_cancel
0.000017     1392 mul_self_sub_mul_self
0.000019     1393 domain.to_no_zero_divisors
0.000017     1394 or.comm
0.000018     1395 or_comm
0.000018     1396 eq_neg_of_add_eq_zero
0.000016     1397 add_eq_zero_iff_eq_neg
0.000017     1398 mul_self_eq_mul_self_iff
0.000018     1399 or_iff_left_of_imp
0.000018     1400 add_le_add_iff_left
0.000017     1401 neg_le_neg_iff
0.000018     1402 neg_nonneg
0.000018     1403 linear_ordered_add_comm_group
1.532234     1404 linear_ordered_add_comm_group.add
0.000081     1405 linear_ordered_add_comm_group.add_assoc
0.000023     1406 linear_ordered_add_comm_group.zero
0.000016     1407 linear_ordered_add_comm_group.zero_add
0.000015     1408 linear_ordered_add_comm_group.add_zero
0.000015     1409 linear_ordered_add_comm_group.nsmul
0.000015     1410 linear_ordered_add_comm_group.nsmul_zero'
0.000015     1411 linear_ordered_add_comm_group.nsmul_succ'
0.000015     1412 linear_ordered_add_comm_group.neg
0.000015     1413 linear_ordered_add_comm_group.sub
0.000019     1414 linear_ordered_add_comm_group.sub_eq_add_neg
0.000018     1415 linear_ordered_add_comm_group.add_left_neg
0.000019     1416 linear_ordered_add_comm_group.add_comm
0.000016     1417 linear_ordered_add_comm_group.to_add_comm_group
0.000015     1418 linear_ordered_ring.to_linear_ordered_add_comm_group
0.000015     1419 mul_self_inj_of_nonneg
0.000018     1420 is_absolute_value.abv_nonneg
0.000018     1421 is_absolute_value.abv_mul
0.000018     1422 mul_neg_eq_neg_mul_symm
0.000016     1423 neg_mul_eq_neg_mul_symm
0.000015     1424 is_absolute_value.abv_neg
0.000015     1425 is_absolute_value.abv_sub
0.000018     1426 division_def
0.000016     1427 linear_ordered_semiring
0.000017     1428 linear_ordered_semiring.add
0.000018     1429 linear_ordered_semiring.add_assoc
0.000018     1430 linear_ordered_semiring.zero
0.000016     1431 linear_ordered_semiring.zero_add
0.000015     1432 linear_ordered_semiring.add_zero
0.000017     1433 linear_ordered_semiring.nsmul
0.000016     1434 linear_ordered_semiring.nsmul_zero'
0.000018     1435 linear_ordered_semiring.nsmul_succ'
0.000016     1436 linear_ordered_semiring.add_comm
0.000017     1437 linear_ordered_semiring.mul
0.000018     1438 linear_ordered_semiring.mul_assoc
0.000018     1439 linear_ordered_semiring.one
0.000018     1440 linear_ordered_semiring.one_mul
0.000018     1441 linear_ordered_semiring.mul_one
0.000018     1442 linear_ordered_semiring.npow
0.000018     1443 linear_ordered_semiring.npow_zero'
0.000018     1444 linear_ordered_semiring.npow_succ'
0.000019     1445 linear_ordered_semiring.zero_mul
0.000018     1446 linear_ordered_semiring.mul_zero
0.000018     1447 linear_ordered_semiring.left_distrib
0.000018     1448 linear_ordered_semiring.right_distrib
0.000018     1449 linear_ordered_semiring.add_left_cancel
0.000018     1450 linear_ordered_semiring.le
0.000018     1451 linear_ordered_semiring.lt
0.000018     1452 linear_ordered_semiring.le_refl
0.000018     1453 linear_ordered_semiring.le_trans
0.000018     1454 linear_ordered_semiring.lt_iff_le_not_le
0.000018     1455 linear_ordered_semiring.le_antisymm
0.000018     1456 linear_ordered_semiring.add_le_add_left
0.000018     1457 linear_ordered_semiring.le_of_add_le_add_left
0.000018     1458 linear_ordered_semiring.zero_le_one
0.000019     1459 linear_ordered_semiring.mul_lt_mul_of_pos_left
0.000018     1460 linear_ordered_semiring.mul_lt_mul_of_pos_right
0.000018     1461 linear_ordered_semiring.to_ordered_semiring
0.000018     1462 linear_ordered_semiring.le_total
0.000019     1463 linear_ordered_semiring.decidable_le
0.000018     1464 linear_ordered_semiring.decidable_eq
0.000018     1465 linear_ordered_semiring.decidable_lt
0.000018     1466 linear_ordered_semiring.to_linear_order
0.000018     1467 le_of_not_gt
0.000018     1468 not_lt_of_ge
0.000019     1469 not_lt
0.000018     1470 push_neg.not_lt_eq
0.000018     1471 has_le.le.antisymm
0.000018     1472 has_le.le.lt_of_not_le
0.000018     1473 mul_le_mul_of_nonneg_left
0.000018     1474 mul_nonpos_of_nonneg_of_nonpos
0.000018     1475 has_lt.lt.false
0.000018     1476 mul_le_mul_of_nonneg_right
0.000018     1477 mul_nonpos_of_nonpos_of_nonneg
0.000019     1478 pos_and_pos_or_neg_and_neg_of_mul_pos
0.000018     1479 linear_ordered_ring.to_linear_ordered_semiring._proof_1
0.000016     1480 linear_ordered_ring.to_linear_ordered_semiring._proof_2
0.000015     1481 linear_ordered_ring.to_linear_ordered_semiring._proof_3
0.000017     1482 linear_ordered_ring.to_linear_ordered_semiring._proof_4
0.000018     1483 linear_ordered_ring.to_linear_ordered_semiring._proof_5
0.000019     1484 linear_ordered_ring.to_linear_ordered_semiring._proof_6
0.000018     1485 linear_ordered_ring.to_linear_ordered_semiring
0.000018     1486 and_imp
0.000018     1487 mul_pos_iff
0.000018     1488 flip
0.000018     1489 linear_ordered_comm_ring.to_linear_ordered_semiring
0.000019     1490 lt_of_not_ge
0.000017     1491 not_le_of_lt
0.000019     1492 has_lt.lt.not_le
0.000018     1493 not_lt_of_le
0.000018     1494 has_le.le.not_lt
0.000017     1495 lt_of_mul_lt_mul_left
0.000019     1496 ne_of_gt
0.000017     1497 inv_pos
0.000018     1498 iff.symm
0.000018     1499 lt_iff_not_ge
0.000018     1500 not_le
0.000018     1501 le_of_lt_or_eq
0.000018     1502 le_iff_lt_or_eq
0.000018     1503 le_iff_eq_or_lt
0.000018     1504 zero_eq_inv
0.000018     1505 inv_nonneg
0.000018     1506 inv_lt_zero
0.000018     1507 div_pos_iff
0.000018     1508 div_pos
0.000018     1509 half_pos
0.186824     1510 is_cau_seq.cauchy₂
0.000075     1511 is_cau_seq.cauchy₃
0.000024     1512 cau_seq.cauchy₃
0.000016     1513 cau_seq.has_add._match_3
0.000015     1514 add_comm_group.to_add_comm_monoid
0.000015     1515 add_neg_cancel_left
0.000015     1516 neg_add_rev
0.000015     1517 commutative
0.000014     1518 associative
0.000015     1519 left_commutative
0.000018     1520 left_comm
0.000018     1521 add_left_comm
0.000016     1522 rat_add_continuous_lemma
0.000015     1523 cau_seq.has_add._proof_1
0.000015     1524 option
0.000015     1525 with_top
0.000017     1526 cau_seq.lim_zero
0.000016     1527 cau_seq.cauchy
0.000015     1528 cau_seq.of_eq._proof_1
0.000015     1529 cau_seq.of_eq
0.000015     1530 cau_seq.has_add
0.000017     1531 cau_seq.has_mul._match_1
0.000015     1532 cau_seq.has_mul._match_2
0.000015     1533 cau_seq.has_mul._match_3
0.000015     1534 list.perm
0.000015     1535 list.perm.refl
0.000017     1536 list.perm.rec_on
0.000016     1537 list.perm.symm
0.000015     1538 list.perm.eqv
0.000015     1539 list.is_setoid
0.000015     1540 multiset
0.000017     1541 out_param
0.000018     1542 has_mem
0.000018     1543 has_mem.mem
0.000018     1544 list.mem._main
0.000018     1545 list.mem
0.000018     1546 list.has_mem
0.000018     1547 list.pairwise
0.000017     1548 list.nodup
0.000018     1549 list.pairwise.drec
0.000018     1550 list.length._main
0.000018     1551 list.length
0.000018     1552 list.eq_nil_of_length_eq_zero
0.000018     1553 id_delta
0.000018     1554 list.length._main.equations._eqn_2
0.000018     1555 list.length.equations._eqn_2
0.000017     1556 add_right_cancel_semigroup
0.000019     1557 add_right_cancel_semigroup.add
0.000018     1558 add_right_cancel_semigroup.add_assoc
0.000018     1559 add_right_cancel_semigroup.to_add_semigroup
0.000018     1560 add_right_cancel_monoid.add_right_cancel
0.000018     1561 add_right_cancel_monoid.to_add_right_cancel_semigroup
0.000018     1562 comm_semiring
0.000018     1563 comm_semiring.add
0.000018     1564 nat.add_succ
0.000018     1565 nat.add_assoc
0.000018     1566 nat.zero_add
0.000018     1567 nat.add_zero
0.000018     1568 nat.mul._main
0.000018     1569 nat.mul
0.000017     1570 nat.has_mul
0.000019     1571 nat.mul_succ
0.000017     1572 nat.zero_mul
0.000018     1573 nat.succ_eq_add_one
0.000018     1574 nat.add_comm
0.000018     1575 nat.succ_eq_one_add
0.000018     1576 nat.add_left_comm
0.000018     1577 nat.right_distrib
0.000018     1578 nat.mul_zero
0.000018     1579 nat.succ.inj
0.000018     1580 nat.succ.inj_eq
0.000018     1581 nat.succ_mul
0.000018     1582 nat.mul_comm
0.000018     1583 nat.mul_one
0.000027     1584 nat.one_mul
0.000016     1585 nat.comm_semiring._proof_1
0.000015     1586 nat.left_distrib
0.000018     1587 nat.mul_assoc
0.000019     1588 monoid_with_zero.npow._default
0.000018     1589 semiring.npow._default
0.000016     1590 nat.comm_semiring._proof_2
0.000017     1591 nat.comm_semiring._proof_3
0.000018     1592 nat.comm_semiring
0.000018     1593 comm_semiring.add_assoc
0.000018     1594 comm_semiring.zero
0.000018     1595 comm_semiring.zero_add
0.000018     1596 comm_semiring.add_zero
0.000018     1597 comm_semiring.nsmul
0.000018     1598 comm_semiring.nsmul_zero'
0.000018     1599 comm_semiring.nsmul_succ'
0.000018     1600 comm_semiring.add_comm
0.000018     1601 comm_semiring.mul
0.000018     1602 comm_semiring.mul_assoc
0.000018     1603 comm_semiring.one
0.000018     1604 comm_semiring.one_mul
0.000018     1605 comm_semiring.mul_one
0.000017     1606 comm_semiring.npow
0.000018     1607 comm_semiring.npow_zero'
0.000018     1608 comm_semiring.npow_succ'
0.000018     1609 comm_semiring.zero_mul
0.000018     1610 comm_semiring.mul_zero
0.000018     1611 comm_semiring.left_distrib
0.000018     1612 comm_semiring.right_distrib
0.000018     1613 imp_congr_ctx
0.000017     1614 imp_congr_ctx_eq
0.000018     1615 implies_true_iff
0.000018     1616 nat.add_left_cancel
0.000018     1617 nat.le_add_right
0.000018     1618 nat.le.intro
0.000018     1619 nat.le.dest
0.000018     1620 nat.add_le_add_left
0.000018     1621 nat.le_of_add_le_add_left
0.000018     1622 nat.linear_ordered_semiring._proof_1
0.000018     1623 nat.lt_of_lt_of_le
0.000018     1624 nat.lt_of_succ_le
0.000017     1625 nat.succ_le_of_lt
0.000018     1626 nat.add_lt_add_left
0.000018     1627 nat.lt_add_of_pos_right
0.000018     1628 nat.mul_le_mul_left
0.000018     1629 nat.mul_lt_mul_of_pos_left
0.000018     1630 nat.mul_lt_mul_of_pos_right
0.000018     1631 linear_order.decidable_lt
0.000018     1632 has_bot
0.000018     1633 has_bot.bot
0.000018     1634 order_bot
0.000018     1635 order_bot.le
0.000017     1636 order_bot.lt
0.000018     1637 order_bot.le_refl
0.000018     1638 order_bot.le_trans
0.000018     1639 order_bot.lt_iff_le_not_le
0.000018     1640 order_bot.le_antisymm
0.000018     1641 order_bot.to_partial_order
0.000018     1642 semilattice_sup_bot
0.000018     1643 semilattice_sup_bot.bot
0.000018     1644 semilattice_sup_bot.le
0.000018     1645 semilattice_sup_bot.lt
0.000017     1646 semilattice_sup_bot.le_refl
0.000018     1647 semilattice_sup_bot.le_trans
0.000018     1648 semilattice_sup_bot.lt_iff_le_not_le
0.000018     1649 semilattice_sup_bot.le_antisymm
0.000018     1650 semilattice_sup_bot.bot_le
0.000018     1651 semilattice_sup_bot.to_order_bot
0.166729     1652 semilattice_inf.inf
0.000133     1653 semilattice_inf.to_has_inf
0.000033     1654 semilattice_sup
0.000016     1655 semilattice_sup.sup
0.000015     1656 semilattice_sup.to_has_sup
0.000015     1657 lattice.sup
0.000015     1658 lattice.le_sup_left
0.000018     1659 lattice.le_sup_right
0.000018     1660 lattice.sup_le
0.000019     1661 lattice.to_semilattice_sup
0.000016     1662 distrib_lattice
0.000015     1663 distrib_lattice.le
0.000015     1664 distrib_lattice_of_linear_order._proof_1
0.000017     1665 distrib_lattice_of_linear_order._proof_2
0.000016     1666 distrib_lattice_of_linear_order._proof_3
0.000017     1667 distrib_lattice_of_linear_order._proof_4
0.000019     1668 distrib_lattice_of_linear_order._proof_5
0.000016     1669 distrib_lattice_of_linear_order._proof_6
0.000019     1670 distrib_lattice_of_linear_order._proof_7
0.000020     1671 distrib_lattice_of_linear_order._proof_8
0.000018     1672 distrib_lattice_of_linear_order._proof_9
0.000019     1673 distrib_lattice_of_linear_order._proof_10
0.000018     1674 semilattice_inf.inf_le_left
0.000018     1675 inf_le_left
0.000018     1676 inf_le_left_of_le
0.000018     1677 semilattice_sup.le
0.000018     1678 semilattice_sup.lt
0.000018     1679 semilattice_sup.le_refl
0.000018     1680 semilattice_sup.le_trans
0.000018     1681 semilattice_sup.lt_iff_le_not_le
0.000018     1682 semilattice_sup.le_antisymm
0.000018     1683 semilattice_sup.to_partial_order
0.000018     1684 semilattice_sup.sup_le
0.000018     1685 sup_le
0.000018     1686 semilattice_sup.le_sup_left
0.000015     1687 le_sup_left
0.000015     1688 le_sup_left_of_le
0.000017     1689 semilattice_sup.le_sup_right
0.000018     1690 le_sup_right
0.000018     1691 le_sup_right_of_le
0.000018     1692 sup_le_sup
0.000018     1693 sup_le_sup_left
0.000018     1694 semilattice_inf.le_inf
0.000018     1695 le_inf
0.000018     1696 semilattice_inf.inf_le_right
0.000019     1697 inf_le_right
0.000017     1698 inf_le_right_of_le
0.000018     1699 distrib_lattice_of_linear_order._match_1
0.000018     1700 distrib_lattice_of_linear_order._proof_11
0.000018     1701 distrib_lattice_of_linear_order
0.000018     1702 nat.distrib_lattice
0.000018     1703 distrib_lattice.lt
0.000018     1704 distrib_lattice.le_refl
0.000018     1705 distrib_lattice.le_trans
0.000018     1706 distrib_lattice.lt_iff_le_not_le
0.000018     1707 distrib_lattice.le_antisymm
0.000018     1708 distrib_lattice.sup
0.000018     1709 distrib_lattice.le_sup_left
0.000018     1710 distrib_lattice.le_sup_right
0.000018     1711 distrib_lattice.sup_le
0.000018     1712 nat.semilattice_sup_bot
0.000018     1713 nat.zero_lt_one
0.000018     1714 nat.linear_ordered_semiring._proof_2
0.000017     1715 nat.linear_ordered_semiring
0.000018     1716 nat.ordered_semiring
0.000018     1717 add_right_cancel_semigroup.add_right_cancel
0.000018     1718 add_right_cancel
0.000018     1719 add_left_injective
0.000018     1720 add_left_inj
0.000018     1721 list.perm.length_eq
0.000018     1722 list.perm.eq_nil
0.000018     1723 list.perm.nil_eq
0.000018     1724 false.dcases_on
0.000018     1725 list.mem_split
0.000018     1726 has_subset
0.000017     1727 has_subset.subset
0.000018     1728 list.subset
0.000018     1729 list.has_subset
0.000018     1730 list.mem_cons_iff
0.000018     1731 true_or
0.000018     1732 list.perm.subset
0.000018     1733 list.mem_cons_self
0.000018     1734 list.nil_append
0.000018     1735 list.cons_append
0.000018     1736 list.no_confusion_type
0.000018     1737 list.no_confusion
0.000017     1738 list.cons.inj
0.000018     1739 list.cons.inj_eq
0.000018     1740 and_self
0.000018     1741 list.append_assoc
0.000018     1742 forall_congr
0.000018     1743 forall_congr_eq
0.000018     1744 not.elim
0.000018     1745 forall_prop_of_false
0.000017     1746 list.not_mem_nil
0.000018     1747 forall_true_iff
0.000018     1748 and_iff_left
0.000018     1749 and_true
0.000018     1750 and_iff_right
0.000017     1751 true_and
0.000018     1752 list.pairwise.dcases_on
0.000018     1753 list.pairwise_cons
0.000018     1754 false_or
0.000018     1755 or.imp_right
0.000018     1756 or.assoc
0.000018     1757 or_assoc
0.000018     1758 list.mem_append
0.000017     1759 or_imp_distrib
0.000018     1760 forall_and_distrib
0.000018     1761 list.forall_mem_append
0.000018     1762 and.assoc
0.000018     1763 and.imp
0.000017     1764 and_congr
0.000018     1765 and.swap
0.000018     1766 and.comm
0.000018     1767 and.left_comm
0.000018     1768 and_assoc
0.000018     1769 list.mem_cons_of_mem
0.000018     1770 list.ball_cons
0.000018     1771 list.forall_mem_cons
0.000018     1772 list.pairwise_append
0.000018     1773 list.pairwise_append_comm
0.000017     1774 list.pairwise_middle
0.000018     1775 list.rec_on
0.000018     1776 list.perm_induction_on
0.000018     1777 and.elim_left
0.000018     1778 and.elim_right
0.000018     1779 list.cons.inj_arrow
0.000018     1780 list.perm_middle
0.000018     1781 list.perm.swap'
0.000017     1782 list.perm_inv_core
0.000019     1783 list.perm.cons_inv
0.000017     1784 list.perm.pairwise_iff
0.000018     1785 list.perm.nodup_iff
0.000018     1786 multiset.nodup._proof_1
0.000018     1787 multiset.nodup
0.000018     1788 finset
0.000018     1789 list.perm.mem_iff
0.089647     1790 multiset.mem._proof_1
0.000076     1791 multiset.mem
0.000024     1792 multiset.has_mem
0.000016     1793 finset.val
0.000015     1794 finset.has_mem
0.000015     1795 fintype
0.000015     1796 infinite
0.000015     1797 has_emptyc
0.000015     1798 has_emptyc.emptyc
0.000020     1799 multiset.has_coe
0.000019     1800 multiset.zero
0.000016     1801 multiset.has_zero
0.000015     1802 multiset.nodup_zero
0.000017     1803 finset.empty
0.000016     1804 finset.has_emptyc
0.000015     1805 has_singleton
0.000015     1806 has_singleton.singleton
0.000018     1807 multiset.cons._proof_1
0.000015     1808 multiset.cons
0.000018     1809 multiset.has_singleton
0.000018     1810 congr_fun
0.000016     1811 list.nodup.equations._eqn_1
0.000015     1812 list.forall_mem_ne
0.000014     1813 list.nodup_cons
0.000017     1814 list.nodup_cons_of_nodup
0.000016     1815 list.nodup_nil
0.000018     1816 list.nodup_singleton
0.000018     1817 multiset.nodup_singleton
0.000019     1818 finset.has_singleton
0.000018     1819 quot.induction_on
0.000017     1820 multiset.mem_cons
0.000018     1821 multiset.not_mem_zero
0.000018     1822 multiset.mem_singleton
0.000018     1823 finset.mem_singleton
0.000018     1824 infinite.nontrivial._match_1
0.000018     1825 function.comp
0.000018     1826 decidable.not_imp_symm
0.000018     1827 not.decidable_imp_symm
0.000018     1828 not_forall_of_exists_not
0.000018     1829 decidable.not_forall
0.000018     1830 not_forall
0.000018     1831 infinite.not_fintype
0.000018     1832 infinite.exists_not_mem_finset
0.000018     1833 infinite.nontrivial._match_2
0.000018     1834 infinite.nontrivial
0.000018     1835 nat.cast._main
0.000018     1836 nat.cast
0.000018     1837 nat.cast_coe
0.000018     1838 char_zero
0.000018     1839 classical.dec
0.000018     1840 inhabited
0.000018     1841 classical.inhabited_of_nonempty
0.000018     1842 function.surjective
0.000018     1843 decidable_pred
0.000018     1844 list.not_bex_nil
0.000017     1845 list.eq_or_mem_of_mem_cons
0.000018     1846 list.decidable_bex._match_1
0.000019     1847 list.decidable_bex._main
0.000018     1848 list.decidable_bex
0.000018     1849 not.decidable
0.000018     1850 list.decidable_ball._match_1
0.000018     1851 list.decidable_ball._proof_1
0.000018     1852 list.decidable_ball
0.000018     1853 list.pw_filter._main
0.000017     1854 list.pw_filter
0.000018     1855 implies.decidable._proof_1
0.000018     1856 implies.decidable._proof_2
0.000018     1857 implies.decidable._proof_3
0.000018     1858 implies.decidable
0.000018     1859 ne.decidable
0.000018     1860 list.erase_dup
0.000018     1861 list.countp._main
0.000018     1862 list.countp
0.000018     1863 list.count
0.000018     1864 list.filter._main
0.000018     1865 list.filter
0.000018     1866 list.countp._main.equations._eqn_2
0.000018     1867 list.countp.equations._eqn_2
0.000018     1868 list.filter_cons_of_pos
0.000018     1869 list.countp_cons_of_neg
0.000018     1870 list.filter_cons_of_neg
0.000018     1871 list.countp_eq_length_filter
0.000018     1872 option.cases_on
0.000018     1873 list.filter_map._match_1
0.000018     1874 list.filter_map._main
0.000018     1875 list.filter_map
0.000018     1876 option.guard
0.000018     1877 list.filter_map._main.equations._eqn_2
0.000018     1878 list.filter_map.equations._eqn_2
0.000018     1879 option.guard.equations._eqn_1
0.000018     1880 list.filter_map._match_1.equations._eqn_2
0.000018     1881 list.filter_map._match_1.equations._eqn_1
0.000019     1882 list.filter_map_eq_filter
0.000018     1883 list.perm.drec
0.000018     1884 list.filter_map_nil
0.000018     1885 list.perm.filter_map
0.000018     1886 list.perm.filter
0.000018     1887 list.perm.countp_eq
0.000018     1888 list.perm.count_eq
0.000018     1889 list.count_nil
0.000018     1890 list.count_cons_self
0.000018     1891 list.erase._main
0.000018     1892 list.erase
0.000017     1893 list.erase_nil
0.000018     1894 nat.pred_zero
0.000018     1895 list.erase_cons
0.000018     1896 list.count_cons
0.000018     1897 list.count_cons'
0.000018     1898 nat.pred_succ
0.000018     1899 nat.add_monoid
0.000018     1900 list.count_erase_self
0.000018     1901 list.erasep._main
0.000018     1902 list.erasep
0.000018     1903 list.forall_mem_nil
0.000018     1904 list.erasep_cons
0.000018     1905 if_true
0.000018     1906 list.erasep_cons_of_pos
0.000018     1907 if_false
0.000016     1908 list.erasep_cons_of_neg
0.000017     1909 not_congr
0.000018     1910 list.exists_of_erasep
0.000018     1911 list.erase_cons_head
0.000018     1912 list.erase_cons_tail
0.000018     1913 list.erase_eq_erasep
0.000018     1914 list.exists_erase_eq
0.000018     1915 list.perm_cons_erase
0.000018     1916 list.count.equations._eqn_1
0.000018     1917 list.exists_mem_of_length_pos
0.000018     1918 list.length_pos_of_mem
0.000018     1919 list.length_pos_iff_exists_mem
0.000018     1920 list.sublist
0.000018     1921 list.sublist.dcases_on
0.000017     1922 list.sublist.subset
0.000019     1923 list.filter_sublist
0.000018     1924 list.filter_subset
0.000018     1925 list.mem_of_mem_filter
0.000017     1926 list.of_mem_filter
0.000018     1927 eq.dcases_on
0.000018     1928 list.mem_filter_of_mem
0.000018     1929 list.mem_filter
0.000018     1930 exists_prop
0.000018     1931 list.countp_pos
0.000018     1932 exists_congr
0.095667     1933 exists_eq_left
0.000065     1934 exists_eq_right
0.000029     1935 exists_eq_right'
0.000026     1936 list.count_pos
0.000019     1937 nat.succ_pos
0.000016     1938 nat.succ_pos'
0.000019     1939 list.count_erase_of_ne
0.000018     1940 list.count_cons_of_ne
0.000016     1941 list.perm_iff_count
0.000015     1942 not_or
0.000018     1943 list.decidable_mem._match_1
0.000018     1944 list.decidable_mem._main
0.000019     1945 list.decidable_mem
0.000018     1946 function.swap
0.000015     1947 imp.swap
0.000016     1948 imp_not_comm
0.000015     1949 list.not_mem_of_nodup_cons
0.000017     1950 list.not_nodup_cons_of_mem
0.000016     1951 list.mem_singleton_self
0.000018     1952 list.not_nodup_pair
0.000018     1953 ball.imp_left
0.000016     1954 list.pairwise_of_sublist
0.000015     1955 list.nodup_of_sublist
0.000014     1956 list.cons_sublist_cons
0.000015     1957 list.sublist.rec_on
0.000018     1958 list.sublist.cases_on
0.000015     1959 list.nil_sublist
0.000015     1960 list.sublist.trans
0.000018     1961 list.sublist.refl
0.000015     1962 list.sublist_append_right
0.000020     1963 list.singleton_sublist
0.000015     1964 list.sublist_cons_of_sublist
0.000018     1965 list.nodup_iff_sublist
0.000018     1966 list.repeat._main
0.000018     1967 list.repeat
0.000018     1968 nat.nat_zero_eq_zero
0.000018     1969 list.repeat._main.equations._eqn_1
0.000018     1970 list.repeat.equations._eqn_1
0.000018     1971 list.length._main.equations._eqn_1
0.000018     1972 list.length.equations._eqn_1
0.000018     1973 list.repeat._main.equations._eqn_2
0.000018     1974 list.repeat.equations._eqn_2
0.000018     1975 list.length_repeat
0.000018     1976 list.length_le_of_sublist
0.000018     1977 nat.less_than_or_equal.drec
0.000018     1978 list.repeat_succ
0.000018     1979 list.repeat_sublist_repeat
0.000018     1980 not_not_intro
0.000018     1981 not_true
0.000017     1982 false_and
0.000018     1983 nat.succ_ne_zero
0.000018     1984 or_iff_left_iff_imp
0.000018     1985 imp_self
0.000018     1986 list.mem_repeat
0.000018     1987 list.eq_of_mem_repeat
0.000018     1988 list.eq_repeat_of_mem
0.000018     1989 list.eq_repeat
0.000018     1990 iff_of_true
0.000018     1991 list.tail_eq_of_cons_eq
0.000018     1992 list.cons_injective
0.000018     1993 list.cons_inj
0.000018     1994 iff_of_false
0.000018     1995 list.filter_eq_self
0.000017     1996 list.count_repeat
0.000018     1997 list.sublist.drec
0.000018     1998 list.filter_map._main.equations._eqn_1
0.000019     1999 list.filter_map.equations._eqn_1
0.000018     2000 list.sublist.filter_map
0.000018     2001 list.filter_sublist_filter
0.000018     2002 list.countp_le_of_sublist
0.000018     2003 list.count_le_of_sublist
0.000018     2004 list.le_count_iff_repeat_sublist
0.000018     2005 list.nodup_iff_count_le_one
0.000017     2006 list.count_eq_one_of_mem
0.000019     2007 list.pw_filter_cons_of_pos
0.000017     2008 list.pw_filter_cons_of_neg
0.000019     2009 list.pairwise_pw_filter
0.000017     2010 list.nodup_erase_dup
0.000019     2011 list.erase_dup.equations._eqn_1
0.000017     2012 decidable.not_not
0.000016     2013 not_not
0.000015     2014 list.find._main
0.000018     2015 list.find
0.000018     2016 ball.imp_right
0.000018     2017 list.find_cons_of_pos
0.000018     2018 eq_false_intro
0.000017     2019 option.no_confusion_type
0.000019     2020 option.no_confusion
0.000017     2021 list.find_cons_of_neg
0.000070     2022 list.find_eq_none
0.000019     2023 list.find_mem
0.000018     2024 list.find_some
0.000019     2025 list.pw_filter_sublist
0.000019     2026 list.pw_filter_subset
0.000018     2027 list.forall_mem_pw_filter
0.000018     2028 not_and_of_not_or_not
0.000018     2029 decidable.not_and_distrib
0.000018     2030 not_and_distrib
0.000018     2031 list.mem_erase_dup
0.000018     2032 nat.eq_zero_or_pos
0.000018     2033 nat.pos_of_ne_zero
0.000018     2034 list.count_eq_zero_of_not_mem
0.000018     2035 list.perm.erase_dup
0.000018     2036 multiset.erase_dup._proof_1
0.000018     2037 multiset.erase_dup
0.000017     2038 multiset.nodup_erase_dup
0.000019     2039 multiset.to_finset._proof_1
0.000017     2040 multiset.to_finset
0.000018     2041 list.map._main
0.000018     2042 list.map
0.000018     2043 list.filter_map_cons_some
0.000018     2044 list.map_cons
0.000018     2045 list.filter_map_eq_map
0.000018     2046 list.perm.map
0.000018     2047 multiset.map._proof_1
0.000017     2048 multiset.map
0.000019     2049 finset.image
0.000017     2050 fintype.elems
0.000018     2051 finset.univ
0.000018     2052 finset.mem_def
0.000018     2053 finset.image_val
0.000018     2054 multiset.mem_erase_dup
0.000018     2055 list.exists_of_mem_map
0.000018     2056 list.mem_map_of_mem
0.000018     2057 list.mem_map
0.000017     2058 multiset.mem_map
0.000018     2059 finset.mem_image
0.000018     2060 finset.mem_image_of_mem
0.000018     2061 fintype.complete
0.000018     2062 finset.mem_univ
0.000018     2063 fintype.of_surjective._match_1
0.000018     2064 fintype.of_surjective._proof_1
0.000018     2065 fintype.of_surjective
0.000018     2066 set
0.000018     2067 set.mem
0.000018     2068 set.has_mem
0.000017     2069 function.inv_fun_on
0.000018     2070 set.univ
0.000018     2071 function.inv_fun
0.000018     2072 function.right_inverse
0.090208     2073 function.right_inverse.surjective
0.000069     2074 function.left_inverse.right_inverse
0.000024     2075 function.left_inverse.surjective
0.000016     2076 function.inv_fun_on.equations._eqn_1
0.000015     2077 bex_def
0.000014     2078 function.inv_fun_on_pos
0.000015     2079 function.inv_fun_on_eq
0.000015     2080 function.inv_fun_eq
0.000015     2081 function.left_inverse_inv_fun
0.000015     2082 function.inv_fun_surjective
0.000018     2083 fintype.of_injective._proof_1
0.000018     2084 fintype.of_injective
0.000018     2085 infinite.of_injective
0.000016     2086 fintype.cases_on
0.000015     2087 list.range_core._main
0.000017     2088 list.range_core
0.000019     2089 list.range
0.000018     2090 multiset.range
0.000016     2091 list.range'._main
0.000014     2092 list.range'
0.000018     2093 right_commutative
0.000016     2094 right_comm
0.000017     2095 add_right_comm
0.000018     2096 nat.add_comm_monoid
0.000018     2097 nat.add_comm_semigroup
0.000016     2098 list.range_core_range'
0.000015     2099 list.range_eq_range'
0.000015     2100 list.pairwise.imp_of_mem
0.000015     2101 list.pairwise.imp
0.000017     2102 list.chain
0.000018     2103 list.chain.drec
0.000018     2104 list.pairwise_singleton
0.000018     2105 forall_eq
0.000018     2106 forall_eq_or_imp
0.000018     2107 list.rel_of_pairwise_cons
0.000019     2108 list.chain.dcases_on
0.000018     2109 list.chain_cons
0.000018     2110 list.chain_of_pairwise
0.000018     2111 list.chain_iff_pairwise
0.000018     2112 list.chain.imp'
0.000018     2113 list.chain.imp
0.000018     2114 list.chain_succ_range'
0.000017     2115 list.chain_lt_range'
0.000019     2116 list.pairwise_lt_range'
0.000017     2117 list.nodup_range'
0.000019     2118 list.nodup_range
0.000027     2119 multiset.nodup_range
0.000019     2120 finset.range
0.000019     2121 iff.comm
0.000018     2122 iff_false
0.000016     2123 false_iff
0.000015     2124 imp_intro
0.000014     2125 or_and_distrib_left
0.000015     2126 or_iff_right_of_imp
0.000018     2127 nat.lt_succ_of_le
0.000018     2128 list.mem_range'
0.000018     2129 list.mem_range
0.000018     2130 list.not_mem_range_self
0.000018     2131 multiset.not_mem_range_self
0.000018     2132 finset.not_mem_range_self
0.000018     2133 is_commutative
0.000018     2134 is_associative
0.000018     2135 list.foldr._main
0.000018     2136 list.foldr
0.000018     2137 list.foldr_cons
0.000018     2138 list.perm.foldr_eq
0.000018     2139 multiset.foldr._proof_1
0.000018     2140 multiset.foldr
0.000018     2141 is_commutative.comm
0.000018     2142 is_associative.assoc
0.000018     2143 multiset.fold._proof_1
0.000018     2144 multiset.fold
0.000018     2145 finset.fold
0.000018     2146 semilattice_sup_bot.sup
0.000018     2147 semilattice_sup_bot.le_sup_left
0.000018     2148 semilattice_sup_bot.le_sup_right
0.000018     2149 semilattice_sup_bot.sup_le
0.000018     2150 semilattice_sup_bot.to_semilattice_sup
0.000018     2151 sup_le_iff
0.000018     2152 sup_comm
0.000018     2153 sup_is_commutative
0.000018     2154 finset.sup._proof_1
0.000018     2155 sup_assoc
0.000018     2156 sup_is_associative
0.000018     2157 finset.sup._proof_2
0.000018     2158 order_bot.bot
0.000018     2159 order_bot.to_has_bot
0.000018     2160 finset.sup
0.000018     2161 finset.has_subset
0.000018     2162 multiset.mem_range
0.000018     2163 finset.mem_range
0.000018     2164 multiset.sup._proof_1
0.000018     2165 multiset.sup._proof_2
0.000018     2166 multiset.sup
0.000018     2167 multiset.induction
0.000018     2168 multiset.induction_on
0.000018     2169 multiset.fold_zero
0.000018     2170 multiset.sup_zero
0.000018     2171 order_bot.bot_le
0.000018     2172 bot_le
0.000018     2173 forall_false_left
0.000018     2174 multiset.foldr_cons
0.000018     2175 multiset.fold_cons_left
0.000018     2176 multiset.sup_cons
0.000018     2177 and_congr_right
0.000018     2178 and.congr_right_iff
0.000018     2179 and.congr_left_iff
0.000018     2180 of_iff_true
0.000018     2181 forall_true_iff'
0.000018     2182 forall_2_true_iff
0.000018     2183 multiset.sup_le
0.000017     2184 exists_imp_distrib
0.000018     2185 finset.sup_le_iff
0.000018     2186 finset.le_sup
0.000018     2187 finset.subset_range_sup_succ
0.000018     2188 nat.infinite._match_1
0.000018     2189 nat.infinite
0.000018     2190 char_zero.cast_injective
0.000018     2191 nat.cast_injective
0.000018     2192 char_zero.infinite
0.000019     2193 strict_mono
0.000017     2194 ordering
0.000018     2195 ordering.cases_on
0.000018     2196 ordering.compares._main
0.000018     2197 ordering.compares
0.000018     2198 strict_mono_incr_on
0.000018     2199 strict_mono_incr_on.le_iff_le
0.000018     2200 strict_mono_incr_on.lt_iff_lt
0.000019     2201 le_of_eq
0.000017     2202 eq.le
0.000019     2203 strict_mono_incr_on.compares
0.000017     2204 strict_mono.strict_mono_incr_on
0.000018     2205 strict_mono.compares
0.000018     2206 strict_mono.injective
0.000019     2207 nat.le_induction
0.000018     2208 lt_add_of_pos_right
0.000018     2209 lt_add_of_lt_of_pos
0.000017     2210 nat.strict_mono_cast
0.000019     2211 ordered_semiring.to_char_zero
0.000017     2212 linear_ordered_semiring.exists_pair_ne
0.000019     2213 linear_ordered_semiring.to_nontrivial
0.000018     2214 linear_ordered_semiring.to_char_zero
0.247136     2215 linear_ordered_comm_ring.to_comm_monoid
0.000075     2216 inv_mul_cancel_right'
0.000024     2217 div_mul_cancel
0.000016     2218 mul_lt_mul'
0.000015     2219 rat_mul_continuous_lemma
0.000015     2220 cau_seq.has_mul._match_4
0.000015     2221 add_le_add_right
0.000015     2222 add_lt_add_of_le_of_lt
0.000015     2223 lt_add_of_le_of_pos
0.000015     2224 lt_add_one
0.000018     2225 multiset.sum._proof_1
0.000018     2226 multiset.sum
0.000018     2227 finset.sum
0.000016     2228 lt_or_ge
0.000015     2229 lt_or_le
0.000015     2230 finset.fold_singleton
0.000018     2231 add_comm_semigroup.to_is_commutative
0.000018     2232 add_semigroup.to_is_associative
0.000015     2233 finset.sum_singleton
0.000019     2234 has_union
0.000018     2235 has_union.union
0.000016     2236 quotient.lift
0.000015     2237 setoid.iseqv
0.000015     2238 setoid.refl
0.000017     2239 quotient.lift₂._proof_1
0.000016     2240 quotient.ind
0.000018     2241 quotient.lift₂._proof_2
0.000019     2242 quotient.lift₂
0.000018     2243 quotient.lift_on₂
0.000019     2244 has_insert
0.000018     2245 has_insert.insert
0.000018     2246 list.insert
0.000018     2247 list.has_insert
0.000018     2248 list.union
0.000018     2249 list.has_union
0.000018     2250 list.nil_union
0.000018     2251 list.cons_union
0.000018     2252 list.insert.def
0.000018     2253 list.insert_of_mem
0.000018     2254 list.insert_of_not_mem
0.000018     2255 list.perm_cons
0.000018     2256 list.perm.insert
0.000018     2257 not.intro
0.000018     2258 list.not_mem_cons_of_ne_of_not_mem
0.000018     2259 list.perm_insert_swap
0.000018     2260 list.perm.union_right
0.000018     2261 list.perm.union_left
0.000018     2262 list.perm.union
0.000018     2263 multiset.ndunion._proof_1
0.000018     2264 multiset.ndunion
0.000018     2265 quotient.induction_on₂
0.000018     2266 list.nodup_insert
0.000018     2267 list.nodup_union
0.000018     2268 multiset.nodup_ndunion
0.000018     2269 finset.nodup
0.000018     2270 finset.has_union._proof_1
0.000018     2271 finset.has_union
0.000018     2272 has_sdiff
0.000018     2273 has_sdiff.sdiff
0.000018     2274 list.diff._main
0.000018     2275 list.diff
0.000018     2276 list.diff_nil
0.000018     2277 list.diff._main.equations._eqn_2
0.000018     2278 list.diff.equations._eqn_2
0.000018     2279 list.forall_mem_of_forall_mem_cons
0.000018     2280 list.erasep_of_forall_not
0.000018     2281 list.erase_of_not_mem
0.000018     2282 list.diff_cons
0.000019     2283 list.mem_of_ne_of_mem
0.000017     2284 list.erasep_append_left
0.000018     2285 list.erase_append_left
0.000018     2286 list.erasep_append_right
0.000018     2287 list.erase_append_right
0.000018     2288 decidable_of_decidable_of_iff._proof_1
0.000019     2289 decidable_of_decidable_of_iff
0.000017     2290 decidable_of_iff
0.000019     2291 has_coe_to_sort
0.000018     2292 has_coe_to_sort.S
0.000018     2293 has_coe_to_sort.coe
0.000018     2294 coe_sort
0.000018     2295 bool
0.000018     2296 coe_sort_bool
0.000018     2297 bool.cases_on
0.000018     2298 bor._main
0.000018     2299 bor
0.000018     2300 list.any
0.000018     2301 decidable.to_bool
0.000018     2302 bool.no_confusion_type
0.000018     2303 bool.no_confusion
0.000018     2304 coe_sort_ff
0.000019     2305 bool.not_ff
0.000018     2306 list.not_exists_mem_nil
0.000018     2307 list.any_cons
0.000018     2308 as_true
0.000018     2309 of_as_true
0.000018     2310 iff.decidable._proof_1
0.000018     2311 iff.decidable._proof_2
0.000018     2312 iff.decidable._proof_3
0.000019     2313 iff.decidable._proof_4
0.000017     2314 iff.decidable
0.000019     2315 bool.ff_ne_tt
0.000018     2316 bool.decidable_eq._main
0.000018     2317 bool.decidable_eq
0.000018     2318 bor_coe_iff
0.000018     2319 bex.elim
0.000018     2320 bex.intro
0.000018     2321 list.or_exists_of_exists_mem_cons
0.000018     2322 list.exists_mem_cons_of
0.000018     2323 list.exists_mem_cons_of_exists
0.000018     2324 list.exists_mem_cons_iff
0.000018     2325 list.any_iff_exists
0.000019     2326 exists_prop_congr
0.000018     2327 exists_prop_congr'
0.000018     2328 to_bool_iff
0.000018     2329 of_to_bool_true
0.000018     2330 to_bool_true
0.000018     2331 bool.of_to_bool_iff
0.000018     2332 list.any_iff_exists_prop
0.000019     2333 list.decidable_exists_mem._proof_1
0.000018     2334 list.decidable_exists_mem
0.000018     2335 not_exists
0.000018     2336 not_and
0.000018     2337 list.exists_or_eq_self_of_erasep
0.000019     2338 list.sublist_cons
0.000018     2339 list.sublist_of_cons_sublist
0.000018     2340 list.sublist_of_cons_sublist_cons
0.000018     2341 list.cons_sublist_cons_iff
0.000018     2342 list.append_sublist_append_left
0.000016     2343 list.erasep_sublist
0.000018     2344 list.erase_sublist
0.000018     2345 list.erase_subset
0.000018     2346 list.mem_of_mem_erase
0.000018     2347 list.erase_comm
0.000018     2348 list.perm.diff_left
0.000018     2349 list.perm.erase
0.000018     2350 list.perm.diff_right
0.000018     2351 list.perm.diff
0.000019     2352 multiset.sub._proof_1
0.000018     2353 multiset.sub
0.000018     2354 multiset.has_sub
0.000018     2355 list.subperm
0.000018     2356 list.eq_nil_of_subset_nil
0.000018     2357 list.eq_nil_of_sublist_nil
0.000018     2358 list.exists_perm_sublist
0.000018     2359 list.perm.subperm_left
0.000018     2360 list.perm.subperm_right
0.097734     2361 multiset.le._proof_1
0.000063     2362 multiset.le
0.000025     2363 preorder.lt._default
0.000015     2364 list.perm.subperm
0.000015     2365 list.subperm.refl
0.000015     2366 multiset.partial_order._proof_1
0.000015     2367 list.subperm.trans
0.000015     2368 multiset.partial_order._proof_2
0.000015     2369 multiset.partial_order._proof_3
0.000021     2370 nat.succ.inj_arrow
0.000018     2371 list.eq_of_sublist_of_length_eq
0.000018     2372 list.eq_of_sublist_of_length_le
0.000016     2373 list.subperm.perm_of_length_le
0.000015     2374 list.subperm.length_le
0.000018     2375 list.subperm.antisymm
0.000016     2376 multiset.partial_order._proof_4
0.000018     2377 multiset.partial_order
0.000018     2378 multiset.le_induction_on
0.000018     2379 multiset.nodup_of_le
0.000016     2380 list.perm.append_right
0.000015     2381 list.perm.append_left
0.000015     2382 list.perm.append
0.000017     2383 multiset.add._proof_1
0.000016     2384 multiset.add
0.000018     2385 multiset.has_add
0.000018     2386 multiset.sub_zero
0.000018     2387 quotient.induction_on₃
0.000018     2388 multiset.ordered_cancel_add_comm_monoid._proof_1
0.000018     2389 list.sublist.subperm
0.000018     2390 list.subperm_cons
0.000018     2391 list.subperm_append_left
0.000018     2392 multiset.add_le_add_left
0.000018     2393 multiset.add_left_cancel
0.000018     2394 multiset.zero_add
0.000018     2395 list.append_nil
0.000018     2396 list.perm_append_comm
0.000018     2397 multiset.add_comm
0.000018     2398 multiset.ordered_cancel_add_comm_monoid._proof_2
0.000018     2399 nsmul_rec._main
0.000018     2400 nsmul_rec
0.000019     2401 add_monoid.nsmul._default
0.000018     2402 add_left_cancel_monoid.nsmul._default
0.000018     2403 add_cancel_comm_monoid.nsmul._default
0.000018     2404 multiset.ordered_cancel_add_comm_monoid._proof_3
0.000018     2405 multiset.ordered_cancel_add_comm_monoid._proof_4
0.000018     2406 multiset.ordered_cancel_add_comm_monoid._proof_5
0.000018     2407 multiset.ordered_cancel_add_comm_monoid._proof_6
0.000018     2408 multiset.ordered_cancel_add_comm_monoid._proof_7
0.000018     2409 multiset.ordered_cancel_add_comm_monoid._proof_8
0.000018     2410 multiset.ordered_cancel_add_comm_monoid._proof_9
0.000019     2411 multiset.ordered_cancel_add_comm_monoid._proof_10
0.000017     2412 multiset.ordered_cancel_add_comm_monoid._proof_11
0.000019     2413 multiset.ordered_cancel_add_comm_monoid
0.000017     2414 nonempty.elim
0.000019     2415 forall_const
0.000017     2416 inhabited.default
0.000019     2417 nonempty_of_inhabited
0.000017     2418 multiset.inhabited_multiset
0.000019     2419 multiset.erase._proof_1
0.000017     2420 multiset.erase
0.000019     2421 multiset.sub_cons
0.000017     2422 subsingleton
0.000018     2423 psigma
0.000018     2424 psigma.fst
0.000018     2425 quot.indep
0.000018     2426 psigma.snd
0.000019     2427 psigma.cases_on
0.000018     2428 psigma.eq
0.000018     2429 quot.indep_coherent
0.000018     2430 quot.lift_indep_pr1
0.000018     2431 quot.rec
0.000018     2432 subsingleton.elim
0.000018     2433 quot.rec_on_subsingleton._proof_1
0.000018     2434 quot.rec_on_subsingleton
0.000018     2435 proof_irrel
0.000018     2436 decidable.subsingleton._match_3
0.000018     2437 decidable.subsingleton._match_2
0.000018     2438 decidable.subsingleton._match_1
0.000018     2439 decidable.subsingleton
0.000016     2440 multiset.decidable_mem._proof_1
0.000017     2441 multiset.decidable_mem
0.000019     2442 multiset.cons_erase
0.000018     2443 multiset.erase_of_not_mem
0.000018     2444 multiset.quot_mk_to_coe''
0.000018     2445 multiset.cons_coe
0.000018     2446 has_le.le.lt_of_ne
0.000018     2447 lt_iff_le_and_ne
0.000018     2448 multiset.coe_le
0.000018     2449 setoid.trans
0.000018     2450 setoid.symm
0.000018     2451 _private.100293989.rel._proof_1
0.000018     2452 _private.100293989.rel
0.000018     2453 _private.3833919617.rel.refl
0.000018     2454 _private.3059602155.eq_imp_rel
0.000018     2455 quotient.exact
0.000018     2456 quotient.eq
0.000019     2457 multiset.coe_eq_coe
0.000018     2458 multiset.lt_cons_self
0.000018     2459 multiset.le_cons_self
0.000018     2460 multiset.le_cons_erase
0.000018     2461 multiset.cons_le_cons_iff
0.000018     2462 multiset.cons_le_cons
0.000018     2463 multiset.erase_le
0.000018     2464 list.sublist_or_mem_of_sublist
0.000018     2465 multiset.mem_cons_self
0.000018     2466 multiset.le_cons_of_not_mem
0.000018     2467 multiset.erase_le_iff_le_cons
0.000018     2468 multiset.singleton_add
0.000018     2469 multiset.cons_add
0.000018     2470 multiset.add_cons
0.000018     2471 multiset.sub_le_iff_le_add
0.000018     2472 le_add_iff_nonneg_right
0.000018     2473 multiset.zero_le
0.000018     2474 multiset.le_add_right
0.000018     2475 multiset.sub_le_self
0.000018     2476 finset.has_sdiff._proof_1
0.000018     2477 finset.has_sdiff
0.000018     2478 le_add_of_nonneg_left
0.000019     2479 comm_monoid.one
0.000018     2480 comm_monoid.one_mul
0.000018     2481 comm_monoid.mul_one
0.000018     2482 comm_monoid.npow
0.000018     2483 comm_monoid.npow_zero'
0.096022     2484 comm_monoid.npow_succ'
0.000066     2485 comm_monoid.to_monoid
0.000024     2486 mul_left_comm
0.000015     2487 multiset.prod._proof_1
0.000015     2488 multiset.prod
0.000015     2489 finset.prod
0.000015     2490 has_pow
0.000015     2491 has_pow.pow
0.000015     2492 monoid.npow
0.000015     2493 monoid.has_pow
0.000021     2494 add_monoid_hom
0.000018     2495 add_monoid_hom.to_fun
0.000016     2496 add_monoid_hom.has_coe_to_fun
0.000015     2497 multiset.card._proof_1
0.000017     2498 multiset.card._proof_2
0.000019     2499 list.length_append
0.000018     2500 multiset.card._proof_3
0.000018     2501 multiset.card
0.000016     2502 multiset.repeat
0.000015     2503 finset.prod.equations._eqn_1
0.000017     2504 function.const
0.000019     2505 list.map._main.equations._eqn_2
0.000017     2506 list.map.equations._eqn_2
0.000016     2507 list.map_const
0.000015     2508 multiset.map_const
0.000015     2509 list.foldl._main
0.000018     2510 list.foldl
0.000018     2511 list.prod
0.000018     2512 multiset.repeat.equations._eqn_1
0.000032     2513 list.foldl._main.equations._eqn_2
0.000020     2514 list.foldl.equations._eqn_2
0.000018     2515 list.perm.foldl_eq'
0.000019     2516 list.perm.foldl_eq
0.000018     2517 multiset.foldl._proof_1
0.000019     2518 multiset.foldl
0.000018     2519 mul_right_comm
0.000018     2520 list.reverse_core._main
0.000018     2521 list.reverse_core
0.000018     2522 list.reverse
0.000017     2523 list.reverse_core._main.equations._eqn_2
0.000018     2524 list.reverse_core.equations._eqn_2
0.000018     2525 list.reverse_cons
0.000018     2526 list.perm_append_singleton
0.000018     2527 list.reverse_perm
0.000018     2528 multiset.coe_reverse
0.000018     2529 list.foldl_cons
0.000018     2530 list.foldl_append
0.000018     2531 list.foldl_nil
0.000018     2532 list.foldr._main.equations._eqn_2
0.000018     2533 list.foldr.equations._eqn_2
0.000017     2534 list.foldl_reverse
0.000018     2535 list.reverse_nil
0.000018     2536 list.reverse_append
0.000018     2537 list.reverse_reverse
0.000018     2538 list.foldr_reverse
0.000018     2539 multiset.coe_foldr_swap
0.000018     2540 multiset.foldr_swap
0.000018     2541 multiset.prod_eq_foldl
0.000018     2542 multiset.coe_prod
0.000018     2543 monoid.npow_zero'
0.000016     2544 pow_zero
0.000014     2545 list.prod.equations._eqn_1
0.000017     2546 list.foldl_assoc
0.000018     2547 semigroup.to_is_associative
0.000018     2548 list.prod_cons
0.000018     2549 npow_eq_pow
0.000018     2550 monoid.npow_succ'
0.000017     2551 npow_add
0.000018     2552 npow_one
0.000018     2553 pow_succ
0.000018     2554 list.prod_repeat
0.000018     2555 multiset.prod_repeat
0.000018     2556 one_pow
0.000017     2557 finset.prod_const_one
0.000019     2558 multiplicative
0.000018     2559 equiv
0.000018     2560 equiv.to_fun
0.000018     2561 equiv.has_coe_to_fun
0.000018     2562 multiplicative.of_add._proof_1
0.000018     2563 multiplicative.of_add._proof_2
0.000018     2564 multiplicative.of_add
0.000017     2565 equiv.inv_fun
0.000018     2566 equiv.right_inv
0.000018     2567 equiv.left_inv
0.000018     2568 equiv.symm
0.000018     2569 multiplicative.to_add
0.000018     2570 multiplicative.has_mul
0.000018     2571 multiplicative.semigroup
0.000018     2572 multiplicative.monoid._proof_1
0.000018     2573 multiplicative.has_one
0.000018     2574 multiplicative.mul_one_class._proof_1
0.000018     2575 multiplicative.mul_one_class._proof_2
0.000018     2576 multiplicative.mul_one_class
0.000018     2577 multiplicative.monoid._proof_2
0.000018     2578 multiplicative.monoid._proof_3
0.000018     2579 add_monoid.nsmul
0.000018     2580 add_monoid.nsmul_zero'
0.000017     2581 multiplicative.monoid._proof_4
0.000018     2582 add_monoid.nsmul_succ'
0.000018     2583 multiplicative.monoid._proof_5
0.000018     2584 multiplicative.monoid
0.000018     2585 multiplicative.comm_monoid._proof_1
0.000018     2586 multiplicative.comm_monoid._proof_2
0.000018     2587 multiplicative.comm_monoid._proof_3
0.000018     2588 multiplicative.comm_monoid._proof_4
0.000018     2589 multiplicative.comm_monoid._proof_5
0.000017     2590 multiplicative.comm_semigroup._proof_1
0.000018     2591 multiplicative.comm_semigroup._proof_2
0.000018     2592 multiplicative.comm_semigroup
0.000018     2593 multiplicative.comm_monoid._proof_6
0.000018     2594 multiplicative.comm_monoid
0.000018     2595 finset.sum_const_zero
0.000018     2596 multiset.ndinsert._proof_1
0.000018     2597 multiset.ndinsert
0.000018     2598 multiset.nodup_ndinsert
0.000018     2599 finset.has_insert._proof_1
0.000018     2600 finset.has_insert
0.000018     2601 multiset.nodup_cons
0.000018     2602 finset.cons._proof_1
0.000018     2603 finset.cons
0.000018     2604 finset.cases_on
0.000017     2605 finset.eq_of_veq
0.000018     2606 finset.cons_val
0.000018     2607 finset.cons_induction
0.000018     2608 finset.val_inj
0.000018     2609 list.cons_subperm_of_mem
0.000018     2610 list.subperm_of_subset_nodup
0.000018     2611 list.perm_ext
0.000018     2612 multiset.nodup_ext
0.000017     2613 finset.ext_iff
0.000018     2614 finset.ext
0.000018     2615 finset.mem_cons
0.000018     2616 list.mem_insert_iff
0.000018     2617 multiset.mem_ndinsert
0.000018     2618 finset.mem_insert
0.211316     2619 finset.cons_eq_insert
0.000069     2620 finset.induction
0.000024     2621 finset.induction_on
0.000016     2622 finset.fold.equations._eqn_1
0.000015     2623 finset.insert_val
0.000015     2624 multiset.ndinsert_of_not_mem
0.000015     2625 multiset.map_cons
0.000015     2626 finset.fold_insert
0.000015     2627 finset.sum_insert
0.000015     2628 has_le.le.trans
0.000015     2629 add_le_add
0.000017     2630 multiset.mem_ndinsert_self
0.000019     2631 finset.mem_insert_self
0.000016     2632 multiset.mem_ndinsert_of_mem
0.000015     2633 finset.mem_insert_of_mem
0.000015     2634 finset.sum_le_sum
0.000017     2635 finset.sum_nonneg
0.000019     2636 multiset.subset
0.000017     2637 multiset.has_subset
0.000019     2638 multiset.mem_of_subset
0.000015     2639 list.subset.trans
0.000015     2640 list.subperm.subset
0.000015     2641 multiset.subset_of_le
0.000018     2642 multiset.mem_of_le
0.000018     2643 multiset.countp._proof_1
0.000018     2644 multiset.countp
0.000018     2645 multiset.count
0.000018     2646 iff_iff_implies_and_implies
0.000016     2647 iff_def
0.000015     2648 decidable.not_imp_comm
0.000017     2649 decidable.iff_not_comm
0.000018     2650 iff_not_comm
0.000018     2651 multiset.count.equations._eqn_1
0.000019     2652 multiset.filter._proof_1
0.000018     2653 multiset.filter
0.000018     2654 multiset.countp_eq_card_filter
0.000018     2655 multiset.card_pos_iff_exists_mem
0.000018     2656 multiset.mem_filter
0.000018     2657 multiset.countp_pos
0.000018     2658 multiset.count_pos
0.000018     2659 canonically_ordered_add_monoid
0.000018     2660 canonically_ordered_add_monoid.add
0.000018     2661 canonically_ordered_add_monoid.add_assoc
0.000018     2662 canonically_ordered_add_monoid.zero
0.000019     2663 canonically_ordered_add_monoid.zero_add
0.000018     2664 canonically_ordered_add_monoid.add_zero
0.000018     2665 canonically_ordered_add_monoid.nsmul
0.000018     2666 canonically_ordered_add_monoid.nsmul_zero'
0.000018     2667 canonically_ordered_add_monoid.nsmul_succ'
0.000018     2668 canonically_ordered_add_monoid.add_comm
0.000018     2669 canonically_ordered_add_monoid.le
0.000018     2670 canonically_ordered_add_monoid.lt
0.000018     2671 canonically_ordered_add_monoid.le_refl
0.000018     2672 canonically_ordered_add_monoid.le_trans
0.000018     2673 canonically_ordered_add_monoid.lt_iff_le_not_le
0.000018     2674 canonically_ordered_add_monoid.le_antisymm
0.000018     2675 canonically_ordered_add_monoid.add_le_add_left
0.000018     2676 canonically_ordered_add_monoid.lt_of_add_lt_add_left
0.000019     2677 canonically_ordered_add_monoid.to_ordered_add_comm_monoid
0.000018     2678 canonically_ordered_add_monoid.le_iff_exists_add
0.000018     2679 le_iff_exists_add
0.000018     2680 zero_le
0.000018     2681 pos_iff_ne_zero
0.000018     2682 comm_semiring.to_semiring
0.000018     2683 canonically_ordered_comm_semiring
0.000018     2684 canonically_ordered_comm_semiring.add
0.000018     2685 canonically_ordered_comm_semiring.add_assoc
0.000018     2686 canonically_ordered_comm_semiring.zero
0.000018     2687 canonically_ordered_comm_semiring.zero_add
0.000018     2688 canonically_ordered_comm_semiring.add_zero
0.000018     2689 canonically_ordered_comm_semiring.nsmul
0.000018     2690 canonically_ordered_comm_semiring.nsmul_zero'
0.000018     2691 canonically_ordered_comm_semiring.nsmul_succ'
0.000018     2692 canonically_ordered_comm_semiring.add_comm
0.000019     2693 canonically_ordered_comm_semiring.le
0.000018     2694 canonically_ordered_comm_semiring.lt
0.000018     2695 canonically_ordered_comm_semiring.le_refl
0.000018     2696 canonically_ordered_comm_semiring.le_trans
0.000018     2697 canonically_ordered_comm_semiring.lt_iff_le_not_le
0.000018     2698 canonically_ordered_comm_semiring.le_antisymm
0.000019     2699 canonically_ordered_comm_semiring.add_le_add_left
0.000018     2700 canonically_ordered_comm_semiring.lt_of_add_lt_add_left
0.000018     2701 canonically_ordered_comm_semiring.bot
0.000018     2702 canonically_ordered_comm_semiring.bot_le
0.000018     2703 canonically_ordered_comm_semiring.le_iff_exists_add
0.000019     2704 canonically_ordered_comm_semiring.to_canonically_ordered_add_monoid
0.000018     2705 nat.canonically_ordered_comm_semiring._proof_1
0.000018     2706 nat.canonically_ordered_comm_semiring._proof_2
0.000018     2707 nat.canonically_ordered_comm_semiring._proof_3
0.000018     2708 nat.canonically_ordered_comm_semiring._proof_4
0.000018     2709 nat.canonically_ordered_comm_semiring._proof_5
0.000019     2710 nat.canonically_ordered_comm_semiring._proof_6
0.000018     2711 nat.canonically_ordered_comm_semiring._proof_7
0.000018     2712 nat.canonically_ordered_comm_semiring._proof_8
0.000018     2713 nat.canonically_ordered_comm_semiring._proof_9
0.000018     2714 nat.canonically_ordered_comm_semiring._proof_10
0.099706     2715 nat.canonically_ordered_comm_semiring._proof_11
0.000070     2716 nat.canonically_ordered_comm_semiring._proof_12
0.000027     2717 nat.canonically_ordered_comm_semiring._match_1
0.000016     2718 nat.canonically_ordered_comm_semiring._match_2
0.000015     2719 nat.canonically_ordered_comm_semiring._proof_13
0.000015     2720 nat.canonically_ordered_comm_semiring._proof_14
0.000015     2721 nat.canonically_ordered_comm_semiring._proof_15
0.000015     2722 nat.canonically_ordered_comm_semiring._proof_16
0.000015     2723 nat.canonically_ordered_comm_semiring._proof_17
0.000015     2724 nat.canonically_ordered_comm_semiring._proof_18
0.000019     2725 nat.canonically_ordered_comm_semiring._proof_19
0.000016     2726 nat.canonically_ordered_comm_semiring._proof_20
0.000015     2727 nat.canonically_ordered_comm_semiring._proof_21
0.000018     2728 nat.canonically_ordered_comm_semiring._proof_22
0.000016     2729 comm_semiring.mul_comm
0.000017     2730 nat.canonically_ordered_comm_semiring._proof_23
0.000018     2731 nat.add_one
0.000018     2732 nat.eq_zero_of_add_eq_zero_right
0.000018     2733 nat.eq_zero_of_add_eq_zero_left
0.000018     2734 nat.eq_zero_of_mul_eq_zero
0.000018     2735 nat.canonically_ordered_comm_semiring._proof_24
0.000018     2736 nat.canonically_ordered_comm_semiring
0.000018     2737 multiset.count_eq_zero
0.000018     2738 nat.sub._main
0.000018     2739 nat.sub
0.000018     2740 nat.has_sub
0.000018     2741 multiset.count_zero
0.000018     2742 nat.sub_zero
0.000018     2743 list.countp_cons_of_pos
0.000018     2744 multiset.countp_cons_of_pos
0.000018     2745 multiset.count_cons_self
0.000018     2746 multiset.count_erase_self
0.000018     2747 nat.sub_succ
0.000018     2748 nat.sub_one
0.000018     2749 nat.sub_sub
0.000018     2750 nat.one_add
0.000018     2751 nat.pred_sub
0.000017     2752 multiset.countp_cons_of_neg
0.000019     2753 multiset.count_cons_of_ne
0.000017     2754 multiset.count_erase_of_ne
0.000019     2755 multiset.count_sub
0.000017     2756 nat.add_le_add_right
0.000019     2757 nat.rec_on
0.000017     2758 nat.succ_sub_succ_eq_sub
0.000018     2759 nat.succ_sub_succ
0.000018     2760 nat.add_sub_add_right
0.000018     2761 nat.le_of_sub_eq_zero
0.000018     2762 nat.add_sub_add_left
0.000018     2763 nat.zero_sub
0.000018     2764 nat.sub_self_add
0.000018     2765 nat.sub_eq_zero_of_le
0.000018     2766 nat.sub_eq_zero_iff_le
0.000018     2767 multiset.nodup_iff_count_le_one
0.000018     2768 multiset.mem_add
0.000018     2769 multiset.le_sub_add
0.000018     2770 multiset.mem_sub_of_nodup
0.000018     2771 finset.mem_sdiff
0.000018     2772 semilattice_inf_bot
0.000017     2773 semilattice_inf_bot.bot
0.000018     2774 semilattice_inf_bot.le
0.000018     2775 semilattice_inf_bot.lt
0.000018     2776 semilattice_inf_bot.le_refl
0.000018     2777 semilattice_inf_bot.le_trans
0.000018     2778 semilattice_inf_bot.lt_iff_le_not_le
0.000018     2779 semilattice_inf_bot.le_antisymm
0.000018     2780 semilattice_inf_bot.bot_le
0.000018     2781 semilattice_inf_bot.to_order_bot
0.000019     2782 semilattice_inf_bot.inf
0.000018     2783 semilattice_inf_bot.inf_le_left
0.000018     2784 semilattice_inf_bot.inf_le_right
0.000018     2785 semilattice_inf_bot.le_inf
0.000018     2786 semilattice_inf_bot.to_semilattice_inf
0.000018     2787 disjoint
0.000018     2788 has_ssubset
0.000039     2789 has_ssubset.ssubset
0.000020     2790 finset.has_ssubset
0.000018     2791 multiset.subset.refl
0.000018     2792 finset.subset.refl
0.000018     2793 multiset.subset.trans
0.000016     2794 finset.subset.trans
0.000015     2795 finset.partial_order._proof_1
0.000017     2796 finset.subset.antisymm
0.000018     2797 finset.partial_order
0.000018     2798 finset.lattice._proof_1
0.000018     2799 finset.lattice._proof_2
0.000018     2800 finset.lattice._proof_3
0.000018     2801 finset.lattice._proof_4
0.000018     2802 list.mem_union
0.000018     2803 multiset.mem_ndunion
0.000018     2804 finset.mem_union
0.000018     2805 finset.mem_union_left
0.000018     2806 finset.subset_union_left
0.000018     2807 finset.lattice._proof_5
0.000018     2808 finset.mem_union_right
0.000018     2809 finset.subset_union_right
0.000018     2810 finset.lattice._proof_6
0.000018     2811 multiset.le_iff_subset
0.000017     2812 finset.val_le_iff
0.000016     2813 multiset.zero_ndunion
0.000017     2814 multiset.zero_subset
0.000018     2815 multiset.cons_ndunion
0.000018     2816 list.is_suffix
0.000018     2817 list.is_infix
0.000018     2818 list.sublist_append_left
0.000018     2819 list.sublist_of_infix
0.000018     2820 list.infix_of_suffix
0.000018     2821 list.sublist_of_suffix
0.000018     2822 list.suffix_refl
0.000018     2823 list.suffix_append
0.000018     2824 list.suffix_cons
0.000018     2825 list.suffix_insert
0.000018     2826 multiset.le_ndinsert_self
0.000018     2827 multiset.ndinsert_of_mem
0.000018     2828 multiset.ndinsert_le
0.000018     2829 and_comm
0.000018     2830 multiset.subset_iff
0.000018     2831 multiset.cons_subset
0.000018     2832 multiset.ndunion_le
0.000018     2833 finset.union_subset
0.000017     2834 finset.lattice._proof_7
0.000018     2835 has_inter
0.114066     2836 has_inter.inter
0.000068     2837 multiset.ndinter
0.000024     2838 list.pairwise_filter_of_pairwise
0.000015     2839 list.nodup_filter
0.000016     2840 multiset.nodup_filter
0.000015     2841 multiset.nodup_ndinter
0.000015     2842 finset.has_inter._proof_1
0.000015     2843 finset.has_inter
0.000015     2844 multiset.mem_ndinter
0.000015     2845 finset.mem_inter
0.000020     2846 finset.mem_of_mem_inter_left
0.000018     2847 finset.inter_subset_left
0.000016     2848 finset.lattice._proof_8
0.000015     2849 finset.mem_of_mem_inter_right
0.000015     2850 finset.inter_subset_right
0.000018     2851 finset.lattice._proof_9
0.000016     2852 finset.subset_iff
0.000018     2853 finset.subset_inter
0.000015     2854 finset.lattice._proof_10
0.000020     2855 finset.lattice
0.000018     2856 finset.semilattice_inf_bot._proof_1
0.000018     2857 finset.semilattice_inf_bot._proof_2
0.000019     2858 finset.semilattice_inf_bot._proof_3
0.000016     2859 finset.semilattice_inf_bot._proof_4
0.000015     2860 finset.empty_subset
0.000014     2861 finset.semilattice_inf_bot._proof_5
0.000019     2862 finset.semilattice_inf_bot._proof_6
0.000016     2863 finset.semilattice_inf_bot._proof_7
0.000017     2864 finset.semilattice_inf_bot
0.000016     2865 multiset.coe_fold_l
0.000015     2866 multiset.fold_eq_foldl
0.000015     2867 multiset.foldl_cons
0.000018     2868 multiset.fold_cons'_right
0.000016     2869 multiset.fold_cons_right
0.000017     2870 of_eq_true
0.000018     2871 eq_true_intro
0.000018     2872 multiset.fold_add
0.000019     2873 list.map._main.equations._eqn_1
0.000018     2874 list.map.equations._eqn_1
0.000018     2875 list.map_append
0.000018     2876 multiset.map_add
0.000018     2877 multiset.union
0.000018     2878 multiset.has_union
0.000018     2879 multiset.le_union_left
0.000018     2880 le_add_iff_nonneg_left
0.000018     2881 multiset.le_add_left
0.000018     2882 multiset.le_union_right
0.000018     2883 multiset.ndunion_le_union
0.000019     2884 multiset.canonically_ordered_add_monoid._proof_1
0.000018     2885 multiset.canonically_ordered_add_monoid._proof_2
0.000018     2886 multiset.canonically_ordered_add_monoid._proof_3
0.000018     2887 multiset.canonically_ordered_add_monoid._proof_4
0.000018     2888 multiset.canonically_ordered_add_monoid._proof_5
0.000018     2889 multiset.canonically_ordered_add_monoid._proof_6
0.000018     2890 multiset.canonically_ordered_add_monoid._proof_7
0.000018     2891 multiset.canonically_ordered_add_monoid._proof_8
0.000018     2892 multiset.canonically_ordered_add_monoid._proof_9
0.000019     2893 multiset.canonically_ordered_add_monoid._proof_10
0.000018     2894 multiset.canonically_ordered_add_monoid._proof_11
0.000018     2895 multiset.canonically_ordered_add_monoid._proof_12
0.000026     2896 list.sublist.exists_perm_append
0.000016     2897 multiset.le_iff_exists_add
0.000015     2898 multiset.canonically_ordered_add_monoid
0.000018     2899 forall_prop_of_true
0.000018     2900 forall_true_left
0.000018     2901 multiset.add_sub_of_le
0.000018     2902 multiset.sub_add_cancel
0.000019     2903 multiset.eq_union_left
0.000018     2904 list.sublist.erasep
0.000018     2905 list.sublist.erase
0.000016     2906 multiset.erase_le_erase
0.000018     2907 multiset.sub_le_sub_right
0.000018     2908 multiset.union_le_union_right
0.000018     2909 multiset.union_le
0.000018     2910 multiset.subset_ndunion_left
0.000018     2911 multiset.le_ndunion_left
0.000018     2912 list.sublist_suffix_of_union
0.000019     2913 list.suffix_union_right
0.000017     2914 multiset.le_ndunion_right
0.000018     2915 multiset.ndunion_eq_union
0.000018     2916 finset.union_val
0.000018     2917 list.bag_inter._main
0.000018     2918 list.bag_inter
0.000018     2919 list.nil_bag_inter
0.000018     2920 list.cons_bag_inter_of_pos
0.000017     2921 list.bag_inter_nil
0.000018     2922 list.bag_inter._main.equations._eqn_4
0.000018     2923 list.bag_inter.equations._eqn_4
0.000019     2924 list.cons_bag_inter_of_neg
0.000018     2925 list.perm.bag_inter_left
0.000018     2926 list.erasep_subset
0.000017     2927 list.mem_of_mem_erasep
0.000018     2928 list.mem_erasep_of_neg
0.000018     2929 list.mem_erase_of_ne
0.000018     2930 list.perm.bag_inter_right
0.000018     2931 list.perm.bag_inter
0.000018     2932 multiset.inter._proof_1
0.000018     2933 multiset.inter
0.000018     2934 multiset.has_inter
0.000018     2935 multiset.zero_inter
0.000017     2936 multiset.cons_inter_of_pos
0.000018     2937 multiset.cons_inter_of_neg
0.000018     2938 multiset.le_inter
0.000018     2939 multiset.ndinter.equations._eqn_1
0.000018     2940 multiset.filter_le
0.000018     2941 multiset.of_mem_filter
0.000018     2942 multiset.filter_eq_self
0.000018     2943 multiset.filter_le_filter
0.000018     2944 multiset.le_filter
0.000018     2945 multiset.le_ndinter
0.000018     2946 multiset.ndinter_le_left
0.000017     2947 multiset.ndinter_subset_right
0.000019     2948 multiset.ndinter_le_right
0.000017     2949 list.bag_inter_sublist_left
0.000018     2950 multiset.inter_le_left
0.166829     2951 multiset.inter_le_right
0.000068     2952 multiset.inter_le_ndinter
0.000025     2953 multiset.ndinter_eq_inter
0.000015     2954 finset.inter_val
0.000015     2955 multiset.union.equations._eqn_1
0.000015     2956 list.diff_eq_foldl
0.000015     2957 list.diff_append
0.000015     2958 multiset.sub_add'
0.000015     2959 multiset.erase_cons_head
0.000032     2960 multiset.add_sub_cancel_left
0.000016     2961 multiset.add_sub_cancel
0.000015     2962 multiset.union_add_distrib
0.000019     2963 quotient.rec_on_subsingleton
0.000018     2964 quotient.rec_on_subsingleton₂._proof_1
0.000016     2965 quotient.rec_on_subsingleton₂._proof_2
0.000015     2966 quotient.rec_on_subsingleton₂
0.000018     2967 decidable_of_iff'
0.000019     2968 list.cons_perm_iff_perm_erase
0.000020     2969 list.decidable_perm._main
0.000018     2970 list.decidable_perm
0.000018     2971 multiset.has_decidable_eq._main
0.000018     2972 multiset.has_decidable_eq
0.000018     2973 nat.le_of_lt_succ
0.000018     2974 nat.lt_of_succ_lt_succ
0.000018     2975 list.subperm.exists_of_length_lt
0.000019     2976 multiset.eq_of_le_of_card_le
0.000017     2977 multiset.card_lt_of_lt
0.000018     2978 multiset.lt_iff_cons_le
0.000018     2979 le_of_add_le_add_right
0.000018     2980 multiset.inter_add_distrib
0.000018     2981 multiset.add_inter_distrib
0.000018     2982 multiset.union_add_inter
0.000018     2983 finset.fold_union_inter
0.000018     2984 finset.sum_union_inter
0.000018     2985 bot_unique
0.000018     2986 eq_bot_iff
0.000018     2987 disjoint_iff
0.000018     2988 finset.disjoint_iff_inter_eq_empty
0.000018     2989 finset.sum_union
0.000018     2990 disjoint.equations._eqn_1
0.000018     2991 finset.inf_eq_inter
0.000018     2992 finset.le_iff_subset
0.000018     2993 finset.disjoint_left
0.000018     2994 finset.sdiff_disjoint
0.000018     2995 finset.union_comm
0.000018     2996 generalized_boolean_algebra
0.000018     2997 generalized_boolean_algebra.bot
0.000018     2998 generalized_boolean_algebra.le
0.000018     2999 generalized_boolean_algebra.lt
0.000017     3000 generalized_boolean_algebra.le_refl
0.000018     3001 generalized_boolean_algebra.le_trans
0.000016     3002 generalized_boolean_algebra.lt_iff_le_not_le
0.000015     3003 generalized_boolean_algebra.le_antisymm
0.000016     3004 generalized_boolean_algebra.bot_le
0.000016     3005 generalized_boolean_algebra.inf
0.000018     3006 generalized_boolean_algebra.inf_le_left
0.000018     3007 generalized_boolean_algebra.inf_le_right
0.000018     3008 generalized_boolean_algebra.le_inf
0.000018     3009 generalized_boolean_algebra.to_semilattice_inf_bot
0.000018     3010 generalized_boolean_algebra.sup
0.000018     3011 generalized_boolean_algebra.le_sup_left
0.000018     3012 generalized_boolean_algebra.le_sup_right
0.000018     3013 generalized_boolean_algebra.sup_le
0.000018     3014 generalized_boolean_algebra.to_semilattice_sup_bot
0.000018     3015 generalized_boolean_algebra.sdiff
0.000018     3016 generalized_boolean_algebra.to_has_sdiff
0.000018     3017 generalized_boolean_algebra.sup_inf_sdiff
0.000018     3018 sup_inf_sdiff
0.000018     3019 le_antisymm_iff
0.000018     3020 order_dual
0.000018     3021 order_dual.has_sup
0.000018     3022 order_dual.has_le
0.000018     3023 order_dual.has_lt
0.000017     3024 order_dual.preorder._proof_1
0.000019     3025 order_dual.preorder._proof_2
0.000017     3026 order_dual.preorder._proof_3
0.000018     3027 order_dual.preorder
0.000018     3028 order_dual.partial_order._proof_1
0.000018     3029 order_dual.partial_order._proof_2
0.000018     3030 order_dual.partial_order._proof_3
0.000018     3031 order_dual.partial_order._proof_4
0.000018     3032 order_dual.partial_order
0.000018     3033 order_dual.semilattice_sup._proof_1
0.000018     3034 order_dual.semilattice_sup._proof_2
0.000018     3035 order_dual.semilattice_sup._proof_3
0.000018     3036 order_dual.semilattice_sup._proof_4
0.000018     3037 order_dual.semilattice_sup._proof_5
0.000018     3038 order_dual.semilattice_sup._proof_6
0.000018     3039 order_dual.semilattice_sup._proof_7
0.000017     3040 order_dual.semilattice_sup
0.000019     3041 le_inf_iff
0.000017     3042 inf_eq_right
0.000018     3043 sup_sdiff_of_le
0.000018     3044 finset.distrib_lattice._proof_1
0.000018     3045 finset.distrib_lattice._proof_2
0.000018     3046 finset.distrib_lattice._proof_3
0.000018     3047 finset.distrib_lattice._proof_4
0.000018     3048 finset.distrib_lattice._proof_5
0.000017     3049 finset.distrib_lattice._proof_6
0.000018     3050 finset.distrib_lattice._proof_7
0.000018     3051 finset.distrib_lattice._proof_8
0.000018     3052 finset.distrib_lattice._proof_9
0.000018     3053 finset.distrib_lattice._proof_10
0.000018     3054 imp_true_iff
0.000017     3055 finset.distrib_lattice._proof_11
0.000018     3056 finset.distrib_lattice
0.000018     3057 finset.generalized_boolean_algebra._proof_1
0.000018     3058 finset.generalized_boolean_algebra._proof_2
0.000018     3059 finset.generalized_boolean_algebra._proof_3
0.576120     3060 finset.generalized_boolean_algebra._proof_4
0.000076     3061 finset.generalized_boolean_algebra._proof_5
0.000024     3062 finset.generalized_boolean_algebra._proof_6
0.000016     3063 finset.generalized_boolean_algebra._proof_7
0.000015     3064 finset.generalized_boolean_algebra._proof_8
0.000015     3065 distrib_lattice.inf
0.000015     3066 distrib_lattice.inf_le_left
0.000015     3067 finset.generalized_boolean_algebra._proof_9
0.000014     3068 distrib_lattice.inf_le_right
0.000015     3069 finset.generalized_boolean_algebra._proof_10
0.000018     3070 distrib_lattice.le_inf
0.000018     3071 finset.generalized_boolean_algebra._proof_11
0.000018     3072 distrib_lattice.le_sup_inf
0.000016     3073 finset.generalized_boolean_algebra._proof_12
0.000016     3074 finset.sup_eq_union
0.000014     3075 decidable.or_iff_not_imp_left
0.000018     3076 or_iff_not_imp_left
0.000018     3077 decidable.not_and_distrib'
0.000018     3078 finset.decidable_mem
0.000016     3079 finset.generalized_boolean_algebra._proof_13
0.000015     3080 finset.inter_assoc
0.000014     3081 list.subset.refl
0.000018     3082 list.eq_nil_iff_forall_not_mem
0.000018     3083 multiset.eq_zero_of_forall_not_mem
0.000016     3084 finset.eq_empty_of_forall_not_mem
0.000015     3085 finset.inter_sdiff_self
0.000017     3086 and_false
0.000019     3087 finset.inter_empty
0.000018     3088 finset.not_mem_empty
0.000018     3089 finset.generalized_boolean_algebra._proof_14
0.000019     3090 finset.generalized_boolean_algebra
0.000017     3091 finset.union_sdiff_of_subset
0.000018     3092 finset.sdiff_union_of_subset
0.000018     3093 finset.sum_le_sum_of_subset_of_nonneg
0.000018     3094 set.subset
0.000018     3095 set.has_subset
0.000018     3096 set_of
0.000018     3097 finset.set.has_coe_t
0.000018     3098 set.has_singleton
0.000018     3099 set.ext
0.000017     3100 finset.mem_coe
0.000018     3101 set.mem_singleton_iff
0.000018     3102 finset.coe_singleton
0.000018     3103 set.singleton_subset_iff
0.000018     3104 finset.singleton_subset_set_iff
0.000018     3105 finset.singleton_subset_iff
0.000018     3106 finset.single_le_sum
0.000018     3107 nat.succ_le_succ_iff
0.000018     3108 nat.lt_succ_iff
0.000018     3109 add_sub_cancel
0.000018     3110 add_sub
0.000018     3111 cau_seq.bounded
0.000017     3112 cau_seq.bounded'
0.000018     3113 cau_seq.has_mul._match_5
0.000018     3114 cau_seq.has_mul._proof_1
0.000018     3115 cau_seq.has_mul
0.000018     3116 is_absolute_value.abv_eq_zero
0.000018     3117 is_absolute_value.abv_zero
0.000018     3118 gt_iff_lt
0.000018     3119 cau_seq.const._proof_1
0.000018     3120 cau_seq.const
0.000018     3121 cau_seq.mul_apply
0.000018     3122 cau_seq.const_apply
0.000018     3123 neg_involutive
0.000018     3124 neg_injective
0.000017     3125 neg_inj
0.000018     3126 cau_seq.has_neg._proof_1
0.000018     3127 cau_seq.has_neg
0.000018     3128 cau_seq.add_apply
0.000018     3129 cau_seq.neg_apply
0.000018     3130 cau_seq.has_sub._proof_1
0.000018     3131 cau_seq.has_sub
0.000018     3132 subtype.cases_on
0.000018     3133 subtype.eq
0.000018     3134 cau_seq.ext
0.000018     3135 nontrivial.to_nonempty._match_1
0.000018     3136 nontrivial.to_nonempty
0.000018     3137 nat.zero_ne_one
0.000018     3138 nat.nontrivial
0.000018     3139 cau_seq.ring._proof_1
0.000018     3140 cau_seq.has_zero
0.000017     3141 cau_seq.zero_apply
0.000018     3142 cau_seq.ring._proof_2
0.000018     3143 cau_seq.ring._proof_3
0.000018     3144 cau_seq.ring._proof_4
0.000018     3145 cau_seq.ring._proof_5
0.000018     3146 cau_seq.sub_apply
0.000018     3147 cau_seq.ring._proof_6
0.000018     3148 cau_seq.ring._proof_7
0.000018     3149 cau_seq.ring._proof_8
0.000018     3150 ring.to_monoid
0.000018     3151 cau_seq.ring._proof_9
0.000017     3152 cau_seq.has_one
0.000018     3153 cau_seq.one_apply
0.000018     3154 cau_seq.ring._proof_10
0.000018     3155 cau_seq.ring._proof_11
0.000018     3156 cau_seq.ring._proof_12
0.000018     3157 cau_seq.ring._proof_13
0.000018     3158 cau_seq.ring._proof_14
0.000018     3159 cau_seq.ring._proof_15
0.000018     3160 cau_seq.ring
0.000018     3161 cau_seq.zero_lim_zero
0.000018     3162 neg_one_mul
0.000018     3163 cau_seq.mul_lim_zero_right
0.000018     3164 cau_seq.neg_lim_zero
0.000018     3165 cau_seq.add_lim_zero
0.000018     3166 cau_seq.equiv._proof_1
0.000018     3167 cau_seq.equiv
0.000018     3168 cau_seq.completion.Cauchy
0.000018     3169 int
0.000017     3170 acc
0.000018     3171 well_founded
0.000018     3172 acc.rec_on
0.000018     3173 well_founded.fix_F
0.000018     3174 well_founded.apply
0.000018     3175 well_founded.fix._proof_1
0.000030     3176 well_founded.fix
0.000017     3177 has_well_founded
0.000017     3178 has_well_founded.r
0.000019     3179 psigma.lex
0.000018     3180 psigma.lex.rec_on
0.000018     3181 heq.rec_on
0.000018     3182 eq_of_heq
0.000019     3183 psigma.lex_accessible
0.000018     3184 psigma.lex_wf
0.000018     3185 has_well_founded.wf
0.000018     3186 psigma.has_well_founded._proof_1
0.000018     3187 psigma.has_well_founded
0.000018     3188 has_sizeof
0.000018     3189 inv_image
0.000018     3190 measure
0.000018     3191 has_sizeof.sizeof
0.000018     3192 sizeof
0.056665     3193 sizeof_measure
0.000055     3194 _private.4014471427.acc_aux
0.000026     3195 inv_image.accessible
0.000015     3196 inv_image.wf
0.000015     3197 nat.not_lt_zero
0.000015     3198 eq.substr
0.000016     3199 acc.inv
0.000014     3200 nat.lt_wf
0.000016     3201 measure_wf
0.000014     3202 sizeof_measure_wf
0.000019     3203 has_well_founded_of_has_sizeof
0.000018     3204 nat.sizeof._main
0.000016     3205 nat.sizeof
0.000015     3206 nat.has_sizeof
0.000015     3207 has_mod
0.000017     3208 has_mod.mod
0.000019     3209 nat.pred_le
0.000017     3210 nat.sub_le
0.000016     3211 nat.sub_lt
0.000016     3212 _private.757066717.div_rec_lemma
0.000015     3213 _private.1846598367.mod.F
0.000017     3214 nat.mod
0.000019     3215 nat.has_mod
0.000015     3216 nat.sizeof._main.equations._eqn_1
0.000015     3217 nat.sizeof.equations._eqn_1
0.000020     3218 gcd._main._pack._wf_rec_mk_dec_tactic._aux_1
0.000016     3219 or.by_cases
0.000015     3220 decidable.lt_or_eq_of_le
0.000018     3221 nat.strong_rec_on._proof_1
0.000019     3222 nat.strong_rec_on
0.000018     3223 nat.strong_induction_on
0.000018     3224 nat.case_strong_induction_on
0.000018     3225 dif_eq_if
0.000018     3226 acc.drec
0.000018     3227 well_founded.fix_F_eq
0.000018     3228 well_founded.fix_eq
0.000018     3229 nat.mod_def_aux
0.000018     3230 nat.mod_def
0.000018     3231 nat.zero_mod
0.000018     3232 nat.mod_eq_of_lt
0.000018     3233 nat.mod_eq_sub_mod
0.000018     3234 decidable.le_of_not_lt
0.000018     3235 decidable.not_lt
0.000018     3236 nat.mod_lt
0.000018     3237 nat.gcd._main._pack
0.000018     3238 nat.gcd._main
0.000018     3239 nat.gcd
0.000018     3240 nat.coprime
0.000018     3241 int.cases_on
0.000018     3242 int.nat_abs._main
0.000018     3243 int.nat_abs
0.000017     3244 rat
0.000019     3245 rat.cases_on
0.000017     3246 pnat
0.000018     3247 _private.2993550761.div.F
0.000018     3248 nat.div
0.000018     3249 nat.has_div
0.000018     3250 int.zero
0.000018     3251 int.has_zero
0.000018     3252 int.neg_of_nat._main
0.000018     3253 int.neg_of_nat
0.000018     3254 int.has_coe
0.000018     3255 int.neg._main
0.000018     3256 int.neg
0.000018     3257 int.has_neg
0.000018     3258 int.div._main
0.000017     3259 int.div
0.000019     3260 int.has_div
0.000017     3261 decidable.lt_or_le
0.000018     3262 nat.div_def_aux
0.000018     3263 nat.div_def
0.000018     3264 nat.div_eq_of_lt
0.000018     3265 nat.div_eq_sub_div
0.000018     3266 nat.le_of_add_le_add_right
0.000018     3267 nat.add_le_add_iff_le_right
0.000018     3268 nat.sub_lt_of_pos_le
0.000018     3269 nat.add_sub_cancel
0.000018     3270 nat.le_of_le_of_sub_le_sub_right
0.000018     3271 nat.sub_le_sub_right
0.000018     3272 nat.sub_le_sub_right_iff
0.000018     3273 nat.add_le_to_le_sub
0.000018     3274 nat.le_div_iff_mul_le
0.000018     3275 has_dvd
0.000018     3276 has_dvd.dvd
0.000017     3277 nat.has_dvd
0.000019     3278 nat.eq_zero_of_zero_dvd
0.000017     3279 nat.pos_of_dvd_of_pos
0.000018     3280 well_founded.recursion
0.000018     3281 well_founded.induction
0.000018     3282 nat.gcd.induction
0.000018     3283 nat.gcd._main._pack.equations._eqn_1
0.000019     3284 nat.gcd._main.equations._eqn_1
0.000017     3285 nat.gcd.equations._eqn_1
0.000019     3286 nat.gcd_zero_left
0.000017     3287 monoid_has_dvd
0.000019     3288 exists.intro
0.000017     3289 dvd.intro
0.000019     3290 dvd_zero
0.000017     3291 nat.semiring
0.000018     3292 dvd_refl
0.000018     3293 nat.monoid
0.000018     3294 nat.mod_zero
0.000018     3295 nat.gcd._main._pack.equations._eqn_2
0.000018     3296 nat.gcd._main.equations._eqn_2
0.000018     3297 nat.gcd.equations._eqn_2
0.000018     3298 nat.gcd_zero_right
0.000018     3299 nat.gcd_rec
0.000018     3300 nat.dvd_add
0.000018     3301 nat.mul_pred_left
0.000018     3302 nat.mul_sub_right_distrib
0.000018     3303 nat.mul_sub_left_distrib
0.000018     3304 nat.add_sub_cancel_left
0.000018     3305 nat.dvd_add_iff_right
0.000018     3306 nat.dvd_add_iff_left
0.000018     3307 nat.dvd_trans
0.000018     3308 nat.dvd_mul_right
0.000016     3309 decidable.em
0.000018     3310 nat.add_sub_assoc
0.000019     3311 nat.mod_add_div
0.000018     3312 nat.dvd_mod_iff
0.000018     3313 nat.gcd_dvd
0.000018     3314 nat.gcd_dvd_right
0.000018     3315 nat.gcd_pos_of_pos_right
0.000018     3316 nat.le_of_dvd
0.000018     3317 int.nat_abs_eq
0.000018     3318 int.sub_nat_nat._match_1
0.000018     3319 int.sub_nat_nat
0.000018     3320 int.add._main
0.000018     3321 int.add
0.000018     3322 int.has_add
0.000018     3323 int.of_nat_add_of_nat
0.000018     3324 int.no_confusion_type
0.000018     3325 int.no_confusion
0.000018     3326 int.of_nat.inj
0.000018     3327 int.of_nat.inj_eq
0.000018     3328 int.of_nat_add_neg_succ_of_nat
0.000018     3329 decidable.le_or_lt
0.000018     3330 int.sub_nat_nat.equations._eqn_1
0.000018     3331 int.sub_nat_nat._match_1.equations._eqn_1
0.000018     3332 int.sub_nat_nat_of_sub_eq_zero
0.000018     3333 int.sub_nat_nat_of_le
0.000018     3334 nat.le_add_left
0.000018     3335 int.sub_nat_nat._match_1.equations._eqn_2
0.000018     3336 int.sub_nat_nat_of_sub_eq_succ
0.000018     3337 nat.succ_pred_eq_of_pos
0.000018     3338 nat.lt_of_add_lt_add_left
0.000018     3339 nat.lt_of_add_lt_add_right
0.000018     3340 nat.add_sub_of_le
0.000018     3341 nat.sub_add_cancel
0.000018     3342 nat.sub_pos_of_lt
0.117162     3343 int.sub_nat_nat_of_lt
0.000069     3344 nat.sub_eq_iff_eq_add
0.000024     3345 nat.lt_of_sub_eq_succ
0.000015     3346 int.sub_nat_nat_elim
0.000016     3347 int.sub_nat_nat_add_left
0.000015     3348 int.sub_nat_nat_add_right
0.000015     3349 int.sub_nat_nat_add_add
0.000015     3350 int.sub_nat_nat_add
0.000015     3351 int.add_assoc_aux1
0.000015     3352 int.neg_succ_of_nat_add_neg_succ_of_nat
0.000014     3353 int.neg_succ_of_nat.inj
0.000018     3354 int.neg_succ_of_nat.inj_eq
0.000018     3355 int.add_comm
0.000018     3356 int.neg_succ_of_nat_add_of_nat
0.000016     3357 int.sub_nat_nat_sub
0.000019     3358 nat.succ_sub
0.000016     3359 int.sub_nat_nat_add_neg_succ_of_nat
0.000018     3360 int.add_assoc_aux2
0.000018     3361 int.add_assoc
0.000015     3362 int.add_zero
0.000015     3363 int.zero_add
0.000015     3364 sub_neg_monoid.nsmul._default
0.000015     3365 add_group.nsmul._default
0.000017     3366 add_comm_group.nsmul._default
0.000016     3367 ring.nsmul._default
0.000015     3368 int.comm_ring._proof_1
0.000015     3369 int.comm_ring._proof_2
0.000015     3370 int.sub
0.000017     3371 int.comm_ring._proof_3
0.000016     3372 int.neg_of_nat_of_succ
0.000015     3373 nat.sub_self
0.000015     3374 int.of_nat_zero
0.000015     3375 int.sub_nat_self
0.000017     3376 int.neg_neg_of_nat_succ
0.000019     3377 int.add_left_neg
0.000017     3378 int.mul._main
0.000018     3379 int.mul
0.000018     3380 int.has_mul
0.000018     3381 int.of_nat_mul_of_nat
0.000018     3382 int.of_nat_mul_neg_succ_of_nat
0.000018     3383 int.neg_of_nat._main.equations._eqn_2
0.000018     3384 int.neg_of_nat.equations._eqn_2
0.000018     3385 int.of_nat_mul_neg_of_nat
0.000018     3386 int.neg_succ_of_nat_of_nat
0.000018     3387 int.mul_neg_succ_of_nat_neg_succ_of_nat
0.000018     3388 int.mul_comm
0.000018     3389 int.neg_of_nat_mul_of_nat
0.000018     3390 int.neg_succ_of_nat_mul_neg_of_nat
0.000018     3391 int.neg_of_nat_mul_neg_succ_of_nat
0.000018     3392 int.mul_assoc
0.000018     3393 int.one
0.000018     3394 int.has_one
0.000018     3395 int.one_mul
0.000017     3396 int.mul_one
0.000018     3397 ring.npow._default
0.000018     3398 int.comm_ring._proof_4
0.000018     3399 int.comm_ring._proof_5
0.000018     3400 int.mul_zero
0.000018     3401 int.zero_mul
0.000018     3402 int.of_nat_mul_sub_nat_nat
0.000018     3403 int.neg_of_nat_eq_sub_nat_nat_zero
0.000018     3404 int.neg_of_nat_add
0.000018     3405 int.neg_succ_of_nat_mul_sub_nat_nat
0.000018     3406 int.distrib_left
0.000018     3407 int.distrib_right
0.000018     3408 int.comm_ring
0.000018     3409 int.monoid
0.000018     3410 int.of_nat.inj_arrow
0.000017     3411 int.neg_succ_of_nat.inj_arrow
0.000018     3412 int.decidable_eq
0.000016     3413 int.nonneg
0.000015     3414 int.has_sub
0.000017     3415 int.le
0.000018     3416 int.has_le
0.000018     3417 int.lt
0.000018     3418 int.le.intro_sub
0.000017     3419 int.sub_eq_add_neg
0.000018     3420 int.add_right_neg
0.000018     3421 int.le.intro
0.000018     3422 int.le_refl
0.000018     3423 int.nonneg.elim
0.000018     3424 int.le.dest_sub
0.000018     3425 int.le.dest
0.000018     3426 int.le.elim
0.000018     3427 int.le_trans
0.000018     3428 int.has_lt
0.000018     3429 int.lt.dest
0.000018     3430 int.lt.elim
0.000018     3431 int.le_of_lt
0.000017     3432 int.coe_nat_inj
0.000018     3433 int.add_left_cancel
0.000018     3434 int.lt_irrefl
0.000018     3435 int.ne_of_lt
0.000018     3436 int.coe_nat_eq
0.000018     3437 int.add_left_comm
0.000017     3438 int.lt_add_succ
0.000018     3439 int.lt.intro
0.000018     3440 int.coe_nat_zero
0.000018     3441 int.lt_iff_le_and_ne
0.000018     3442 int.coe_nat_add
0.000018     3443 int.le_antisymm
0.000018     3444 int.lt_iff_le_not_le
0.000017     3445 int.neg_add
0.000018     3446 int.neg_neg
0.000018     3447 int.nonneg_or_nonneg_neg
0.000018     3448 int.le_total
0.000018     3449 int.decidable_nonneg
0.000018     3450 int.decidable_le
0.000018     3451 int.decidable_lt
0.000018     3452 int.linear_order
0.000018     3453 int.add_le_add_left
0.000018     3454 int.zero_lt_one
0.000018     3455 int.linear_ordered_comm_ring._proof_1
0.000018     3456 int.coe_nat_mul
0.000017     3457 int.mul_pos
0.000018     3458 linear_order.decidable_eq
0.000018     3459 int.zero_ne_one
0.000018     3460 int.nontrivial
0.000018     3461 int.linear_ordered_comm_ring
0.000018     3462 int.linear_ordered_add_comm_group
0.000018     3463 int.semiring
0.000018     3464 int.div_zero
0.000018     3465 int.ring
0.000018     3466 int.comm_monoid
0.000018     3467 int.comm_semigroup
0.000018     3468 int.add_monoid
0.000018     3469 int.zero_div
0.000018     3470 nat.div_zero
0.000018     3471 int.div_neg
0.000018     3472 neg_add
0.000018     3473 neg_mul_neg
0.000018     3474 eq_sub_of_add_eq
0.000018     3475 int.eq_succ_of_zero_lt
0.000018     3476 nat.add_div_right
0.000018     3477 nat.add_mul_div_left
0.000018     3478 nat.add_mul_div_right
0.000018     3479 int.of_nat_sub
0.000018     3480 int.coe_nat_sub
0.000018     3481 nat.div_lt_iff_lt_mul
0.000018     3482 ordered_comm_monoid
0.000018     3483 ordered_comm_monoid.mul
0.000018     3484 ordered_comm_monoid.mul_assoc
0.000018     3485 ordered_comm_monoid.one
0.000018     3486 ordered_comm_monoid.one_mul
0.000018     3487 ordered_comm_monoid.mul_one
0.292702     3488 ordered_comm_monoid.npow
0.000085     3489 ordered_comm_monoid.npow_zero'
0.000021     3490 ordered_comm_monoid.npow_succ'
0.000017     3491 ordered_comm_monoid.mul_comm
0.000015     3492 ordered_comm_monoid.to_comm_monoid
0.000015     3493 linear_ordered_comm_monoid
0.000015     3494 linear_ordered_comm_monoid.mul
0.000014     3495 linear_ordered_comm_monoid.mul_assoc
0.000015     3496 linear_ordered_comm_monoid.one
0.000018     3497 linear_ordered_comm_monoid.one_mul
0.000018     3498 linear_ordered_comm_monoid.mul_one
0.000018     3499 linear_ordered_comm_monoid.npow
0.000016     3500 linear_ordered_comm_monoid.npow_zero'
0.000015     3501 linear_ordered_comm_monoid.npow_succ'
0.000017     3502 linear_ordered_comm_monoid.mul_comm
0.000019     3503 linear_ordered_comm_monoid.le
0.000018     3504 linear_ordered_comm_monoid.lt
0.000016     3505 linear_ordered_comm_monoid.le_refl
0.000015     3506 linear_ordered_comm_monoid.le_trans
0.000018     3507 linear_ordered_comm_monoid.lt_iff_le_not_le
0.000016     3508 linear_ordered_comm_monoid.le_antisymm
0.000017     3509 linear_ordered_comm_monoid.mul_le_mul_left
0.000018     3510 linear_ordered_comm_monoid.lt_of_mul_lt_mul_left
0.000018     3511 linear_ordered_comm_monoid.to_ordered_comm_monoid
0.000018     3512 ordered_comm_monoid.le
0.000018     3513 ordered_comm_monoid.lt
0.000018     3514 ordered_comm_monoid.le_refl
0.000018     3515 ordered_comm_monoid.le_trans
0.000018     3516 ordered_comm_monoid.lt_iff_le_not_le
0.000016     3517 ordered_comm_monoid.le_antisymm
0.000015     3518 ordered_comm_monoid.to_partial_order
0.000017     3519 linear_ordered_comm_monoid_with_zero
0.000018     3520 linear_ordered_comm_monoid_with_zero.le
0.000018     3521 linear_ordered_comm_monoid_with_zero.lt
0.000019     3522 linear_ordered_comm_monoid_with_zero.le_refl
0.000017     3523 linear_ordered_comm_monoid_with_zero.le_trans
0.000019     3524 linear_ordered_comm_monoid_with_zero.lt_iff_le_not_le
0.000017     3525 linear_ordered_comm_monoid_with_zero.le_antisymm
0.000019     3526 linear_ordered_comm_monoid_with_zero.le_total
0.000018     3527 linear_ordered_comm_monoid_with_zero.decidable_le
0.000018     3528 linear_ordered_comm_monoid_with_zero.decidable_eq
0.000017     3529 linear_ordered_comm_monoid_with_zero.decidable_lt
0.000019     3530 linear_ordered_comm_monoid_with_zero.mul
0.000017     3531 linear_ordered_comm_monoid_with_zero.mul_assoc
0.000018     3532 linear_ordered_comm_monoid_with_zero.one
0.000018     3533 linear_ordered_comm_monoid_with_zero.one_mul
0.000018     3534 linear_ordered_comm_monoid_with_zero.mul_one
0.000018     3535 linear_ordered_comm_monoid_with_zero.npow
0.000018     3536 linear_ordered_comm_monoid_with_zero.npow_zero'
0.000018     3537 linear_ordered_comm_monoid_with_zero.npow_succ'
0.000018     3538 linear_ordered_comm_monoid_with_zero.mul_comm
0.000018     3539 linear_ordered_comm_monoid_with_zero.mul_le_mul_left
0.000018     3540 linear_ordered_comm_monoid_with_zero.lt_of_mul_lt_mul_left
0.000018     3541 linear_ordered_comm_monoid_with_zero.to_linear_ordered_comm_monoid
0.000018     3542 comm_semiring.to_comm_monoid
0.000018     3543 comm_semiring.to_comm_monoid_with_zero._proof_1
0.000018     3544 comm_semiring.to_comm_monoid_with_zero._proof_2
0.000018     3545 comm_semiring.to_comm_monoid_with_zero._proof_3
0.000018     3546 comm_semiring.to_comm_monoid_with_zero._proof_4
0.000018     3547 comm_semiring.to_comm_monoid_with_zero._proof_5
0.000018     3548 comm_semiring.to_comm_monoid_with_zero._proof_6
0.000018     3549 comm_semiring.to_comm_monoid_with_zero._proof_7
0.000018     3550 comm_semiring.to_comm_monoid_with_zero._proof_8
0.000018     3551 comm_semiring.to_comm_monoid_with_zero
0.000018     3552 nat.linear_ordered_comm_monoid_with_zero._proof_1
0.000018     3553 nat.linear_ordered_comm_monoid_with_zero._proof_2
0.000019     3554 decidable_eq_of_decidable_le._main
0.000017     3555 decidable_eq_of_decidable_le
0.000018     3556 decidable_lt_of_decidable_le._main
0.000018     3557 decidable_lt_of_decidable_le
0.000018     3558 le_of_not_lt
0.000018     3559 linear_ordered_comm_monoid.lt_of_mul_lt_mul_left._default
0.000019     3560 nat.linear_ordered_comm_monoid_with_zero._proof_3
0.000017     3561 nat.linear_ordered_comm_monoid_with_zero
0.000019     3562 nat.comm_monoid
0.000017     3563 nat.comm_semigroup
0.000019     3564 nat.div_eq_of_lt_le
0.000017     3565 nat.sub_le_sub_left
0.000019     3566 nat.div_mul_le_self
0.000017     3567 nat.mul_sub_div
0.000019     3568 sub_sub
0.000017     3569 int.neg_succ_of_nat_coe'
0.000018     3570 nat.sub_mul_div
0.000018     3571 int.add_mul_div_right
0.000018     3572 int.mul_div_cancel
0.000018     3573 int.mul_div_cancel_left
0.000018     3574 int.neg_div_of_dvd
0.000018     3575 int.of_nat_eq_of_nat_iff
0.000018     3576 int.coe_nat_eq_coe_nat_iff
0.000018     3577 int.coe_nat_inj'
0.148561     3578 int.coe_nat_eq_zero
0.000074     3579 int.neg_zero
0.000024     3580 int.eq_coe_of_zero_le
0.000016     3581 nonneg_of_mul_nonneg_left
0.000015     3582 int.le_of_coe_nat_le_coe_nat
0.000015     3583 int.coe_nat_le_coe_nat_of_le
0.000015     3584 int.coe_nat_le_coe_nat_iff
0.000015     3585 int.coe_nat_le
0.000015     3586 int.coe_nat_nonneg
0.000015     3587 int.lt_iff_add_one_le
0.000018     3588 int.coe_nat_succ
0.000018     3589 int.coe_nat_lt_coe_nat_iff
0.000016     3590 int.coe_nat_lt
0.000016     3591 int.coe_nat_pos
0.000014     3592 int.coe_nat_dvd
0.000018     3593 nat.gcd_dvd_left
0.000018     3594 int.nat_abs_neg
0.000016     3595 nat.le_of_mul_le_mul_left
0.000015     3596 nat.eq_of_mul_eq_mul_left
0.000018     3597 nat.eq_of_mul_eq_mul_right
0.000015     3598 nat.add_mod_right
0.000015     3599 nat.add_mul_mod_self_left
0.000018     3600 nat.mul_mod_right
0.000018     3601 nat.mod_eq_zero_of_dvd
0.000019     3602 nat.mul_div_cancel'
0.000018     3603 nat.div_mul_cancel
0.000016     3604 nat.dvd_gcd
0.000015     3605 nat.mul_mod_mul_left
0.000015     3606 nat.gcd_mul_left
0.000015     3607 nat.gcd_mul_right
0.000017     3608 nat.gcd_div
0.000016     3609 nat.zero_div
0.000016     3610 nat.div_self
0.000015     3611 nat.coprime_div_gcd_div_gcd
0.000018     3612 rat.mk_pnat._main
0.000016     3613 rat.mk_pnat
0.000017     3614 rat.add._main
0.000018     3615 rat.add
0.000018     3616 rat.has_add
0.000018     3617 nat.one_pos
0.000018     3618 nat.dvd_antisymm
0.000019     3619 nat.gcd_comm
0.000018     3620 nat.eq_zero_of_le_zero
0.000018     3621 nat.mod_one
0.000018     3622 nat.gcd_one_left
0.000018     3623 nat.gcd_one_right
0.000019     3624 nat.coprime_one_right
0.000018     3625 rat.of_int._proof_1
0.000018     3626 rat.of_int
0.000018     3627 rat.has_zero
0.000018     3628 rat.mk_nat
0.000018     3629 nat.succ_pnat
0.000018     3630 rat.mk._main
0.000018     3631 rat.mk
0.000018     3632 rat.num
0.000018     3633 rat.denom
0.000018     3634 rat.mk_pnat._main._proof_1
0.000018     3635 nat.div_one
0.000018     3636 rat.mk_pnat._main._proof_2
0.000018     3637 int.div_one
0.000018     3638 rat.mk_nat.equations._eqn_1
0.000018     3639 rat.mk_pnat._main.equations._eqn_1
0.000018     3640 rat.mk_pnat.equations._eqn_1
0.000018     3641 rat.no_confusion_type
0.000018     3642 rat.no_confusion
0.000018     3643 rat.mk'.inj
0.000018     3644 rat.mk'.inj_eq
0.000018     3645 rat.num_denom
0.000018     3646 rat.num_denom'
0.000018     3647 rat.num_denom_cases_on._main
0.000018     3648 rat.num_denom_cases_on
0.000018     3649 has_lt.lt.ne'
0.000018     3650 rat.num_denom_cases_on'._proof_1
0.000018     3651 rat.num_denom_cases_on'
0.000018     3652 int.of_nat_eq_coe
0.000018     3653 rat.mk._main.equations._eqn_1
0.000019     3654 rat.mk.equations._eqn_1
0.000018     3655 rat.mk._main.equations._eqn_2
0.000018     3656 rat.mk.equations._eqn_2
0.000018     3657 nat.succ_pnat.equations._eqn_1
0.000018     3658 int.distrib
0.000018     3659 eq_neg_iff_add_eq_zero
0.000018     3660 neg_add_eq_iff_eq_add
0.000018     3661 eq_neg_of_eq_neg
0.000018     3662 eq_neg_iff_eq_neg
0.000018     3663 add_eq_zero_iff_neg_eq
0.000018     3664 neg_eq_iff_add_eq_zero
0.000018     3665 iff_eq_true_of_eq
0.000019     3666 int.add_comm_monoid
0.000018     3667 int.add_comm_semigroup
0.000018     3668 mul_right_cancel'
0.000018     3669 domain.to_cancel_monoid_with_zero._proof_1
0.000018     3670 domain.to_cancel_monoid_with_zero._proof_2
0.000018     3671 domain.to_cancel_monoid_with_zero._proof_3
0.000018     3672 domain.to_cancel_monoid_with_zero._proof_4
0.000027     3673 domain.to_cancel_monoid_with_zero._proof_5
0.000018     3674 domain.to_cancel_monoid_with_zero._proof_6
0.000015     3675 domain.to_cancel_monoid_with_zero._proof_7
0.000018     3676 domain.to_cancel_monoid_with_zero._proof_8
0.000019     3677 domain.to_cancel_monoid_with_zero._proof_9
0.000020     3678 domain.to_cancel_monoid_with_zero
0.000018     3679 int.coe_nat_ne_zero
0.000018     3680 int.mod._main
0.000018     3681 int.mod
0.000018     3682 int.has_mod
0.000018     3683 int.mod_zero
0.000018     3684 int.neg_succ_of_nat_coe
0.000018     3685 sub_sub_self
0.000018     3686 int.mod_add_div_aux
0.000017     3687 int.mod_add_div
0.000018     3688 int.mul_div_cancel_of_mod_eq_zero
0.000018     3689 int.div_mul_cancel_of_mod_eq_zero
0.000018     3690 int.mod_def
0.000018     3691 sub_add_eq_sub_sub_swap
0.000018     3692 add_sub_add_right_eq_sub
0.000018     3693 int.add_mul_mod_self
0.000017     3694 int.zero_mod
0.000018     3695 int.mul_mod_left
0.000018     3696 int.mul_mod_right
0.000018     3697 int.mod_eq_zero_of_dvd
0.000018     3698 int.div_mul_cancel
0.000015     3699 int.mul_div_cancel'
0.000018     3700 int.eq_mul_of_div_eq_right
0.000017     3701 int.eq_mul_of_div_eq_left
0.000018     3702 dvd.elim
0.000018     3703 dvd_mul_right
0.000018     3704 dvd_mul_of_dvd_left
0.000018     3705 dvd_mul_of_dvd_right
0.000018     3706 dvd_neg_of_dvd
0.000018     3707 dvd_of_dvd_neg
0.000017     3708 dvd_neg_iff_dvd
0.000018     3709 int.dvd_nat_abs
0.000018     3710 _private.2111965705.gcd_abs_dvd_left
0.000018     3711 int.mul_div_assoc
0.000017     3712 nat.eq_mul_of_div_eq_right
0.000018     3713 nat.eq_mul_of_div_eq_left
0.470846     3714 nat.mul_div_cancel
0.000074     3715 nat.mul_div_assoc
0.000025     3716 dvd_mul_left
0.000015     3717 nat.coprime.gcd_eq_one
0.000016     3718 nat.coprime.dvd_of_dvd_mul_right
0.000015     3719 nat.coprime.dvd_of_dvd_mul_left
0.000015     3720 nat.coprime.symm
0.000015     3721 int.mul_def
0.000015     3722 int.mul._main.equations._eqn_1
0.000015     3723 int.mul.equations._eqn_1
0.000018     3724 int.nat_abs._main.equations._eqn_1
0.000018     3725 int.nat_abs.equations._eqn_1
0.000016     3726 int.mul._main.equations._eqn_2
0.000015     3727 int.mul.equations._eqn_2
0.000018     3728 int.nat_abs_neg_of_nat
0.000019     3729 int.nat_abs._main.equations._eqn_2
0.000018     3730 int.nat_abs.equations._eqn_2
0.000016     3731 int.mul._main.equations._eqn_3
0.000015     3732 int.mul.equations._eqn_3
0.000015     3733 int.mul._main.equations._eqn_4
0.000015     3734 int.mul.equations._eqn_4
0.000017     3735 int.nat_abs_mul
0.000018     3736 int.nat_abs_of_nat
0.000065     3737 int.sign._main
0.000017     3738 int.sign
0.000016     3739 int.neg_eq_neg_one_mul
0.000015     3740 int.sign_mul_nat_abs
0.000015     3741 int.sign_zero
0.000015     3742 int.sign_mul
0.000018     3743 int.sign_eq_one_of_pos
0.000019     3744 rat.mk_eq
0.000018     3745 rat.lift_binop_eq
0.000018     3746 rat.mk_pnat_eq
0.000017     3747 mul_ne_zero_iff
0.000018     3748 mul_ne_zero
0.000018     3749 rat.add_def
0.000018     3750 int.add_semigroup
0.000017     3751 rat.add_assoc
0.000018     3752 int.nat_abs_zero
0.000018     3753 euclidean_domain
0.000018     3754 euclidean_domain.add
0.000017     3755 euclidean_domain.add_assoc
0.000018     3756 euclidean_domain.zero
0.000018     3757 euclidean_domain.zero_add
0.000018     3758 euclidean_domain.add_zero
0.000018     3759 euclidean_domain.nsmul
0.000017     3760 euclidean_domain.nsmul_zero'
0.000018     3761 euclidean_domain.nsmul_succ'
0.000018     3762 euclidean_domain.neg
0.000018     3763 euclidean_domain.sub
0.000017     3764 euclidean_domain.sub_eq_add_neg
0.000018     3765 euclidean_domain.add_left_neg
0.000018     3766 euclidean_domain.add_comm
0.000018     3767 euclidean_domain.mul
0.000018     3768 euclidean_domain.mul_assoc
0.000017     3769 euclidean_domain.one
0.000018     3770 euclidean_domain.one_mul
0.000018     3771 euclidean_domain.mul_one
0.000018     3772 euclidean_domain.npow
0.000017     3773 euclidean_domain.npow_zero'
0.000018     3774 euclidean_domain.npow_succ'
0.000018     3775 euclidean_domain.left_distrib
0.000018     3776 euclidean_domain.right_distrib
0.000017     3777 euclidean_domain.mul_comm
0.000018     3778 euclidean_domain.to_comm_ring
0.000018     3779 int.div_add_mod
0.000018     3780 int.euclidean_domain._proof_1
0.000018     3781 int.euclidean_domain._proof_2
0.000017     3782 int.nat_abs_of_nonneg
0.000018     3783 int.coe_zero_le
0.000017     3784 sub_le_sub_iff_left
0.000018     3785 sub_nonneg
0.000018     3786 sub_nonneg_of_le
0.000018     3787 int.eq_zero_of_nat_abs_eq_zero
0.000018     3788 int.nat_abs_pos_of_ne_zero
0.000017     3789 int.mod_nonneg
0.000018     3790 linear_ordered_add_comm_group.le
0.000018     3791 linear_ordered_add_comm_group.lt
0.000018     3792 linear_ordered_add_comm_group.le_refl
0.000018     3793 linear_ordered_add_comm_group.le_trans
0.000018     3794 linear_ordered_add_comm_group.lt_iff_le_not_le
0.000017     3795 linear_ordered_add_comm_group.le_antisymm
0.000018     3796 linear_ordered_add_comm_group.le_total
0.000018     3797 linear_ordered_add_comm_group.decidable_le
0.000016     3798 linear_ordered_add_comm_group.decidable_eq
0.000015     3799 linear_ordered_add_comm_group.decidable_lt
0.000017     3800 linear_ordered_add_comm_group.to_linear_order
0.000018     3801 abs
0.000018     3802 linear_ordered_add_comm_group.add_le_add_left
0.000018     3803 linear_ordered_add_comm_group.to_ordered_add_comm_group
0.000018     3804 eq_max
0.000018     3805 max_eq_left
0.000018     3806 neg_nonpos
0.000018     3807 abs_of_nonneg
0.000018     3808 max_comm
0.000018     3809 max_eq_right
0.000017     3810 abs_of_nonpos
0.000018     3811 int.neg_succ_lt_zero
0.000018     3812 int.abs_eq_nat_abs
0.000018     3813 is_total
0.000017     3814 is_total.total
0.000018     3815 sup_eq_right
0.000018     3816 sup_eq_left
0.000018     3817 sup_ind
0.000018     3818 has_le.le.is_total
0.000017     3819 abs_by_cases
0.000018     3820 int.mod_neg
0.000018     3821 int.mod_abs
0.000018     3822 int.coe_nat_lt_coe_nat_of_lt
0.000017     3823 add_lt_iff_neg_left
0.000018     3824 pos_of_neg_neg
0.000018     3825 neg_neg_of_pos
0.000018     3826 neg_neg_iff_pos
0.000018     3827 sub_lt_self_iff
0.000017     3828 sub_lt_self
0.000018     3829 int.mod_lt_of_pos
0.000018     3830 abs_of_neg
0.000018     3831 neg_pos
0.000017     3832 abs_zero
0.000018     3833 lt_self_iff_false
0.000018     3834 abs_of_pos
0.000018     3835 abs_pos
0.000017     3836 int.mod_lt
0.000018     3837 int.euclidean_domain._proof_3
0.000018     3838 int.euclidean_domain._proof_4
0.000018     3839 int.euclidean_domain
0.000018     3840 euclidean_domain.quotient
0.000017     3841 euclidean_domain.has_div
0.000018     3842 euclidean_domain.quotient_zero
0.000018     3843 euclidean_domain.div_zero
0.000018     3844 euclidean_domain.r
0.802700     3845 euclidean_domain.remainder
0.000078     3846 euclidean_domain.has_mod
0.000024     3847 add_neg_eq_iff_eq_add
0.000015     3848 sub_eq_iff_eq_add
0.000015     3849 sub_eq_iff_eq_add'
0.000015     3850 euclidean_domain.quotient_mul_add_remainder_eq
0.000016     3851 euclidean_domain.div_add_mod
0.000015     3852 euclidean_domain.mul_left_not_lt
0.000015     3853 euclidean_domain.remainder_lt
0.000015     3854 euclidean_domain.mod_lt
0.000018     3855 euclidean_domain.mul_div_cancel_left
0.000018     3856 euclidean_domain.mul_div_cancel
0.000016     3857 euclidean_domain.zero_div
0.000015     3858 rat.zero_mk_pnat
0.000015     3859 dite_eq_ite
0.000015     3860 rat.zero_mk_nat
0.000017     3861 rat.zero_mk
0.000016     3862 rat.mk_zero
0.000015     3863 int.semigroup
0.000018     3864 rat.div_mk_div_cancel_left
0.000019     3865 rat.zero_add
0.000016     3866 rat.add_zero
0.000018     3867 comm_ring.nsmul._default
0.000018     3868 rat.field._proof_1
0.000018     3869 rat.field._proof_2
0.000016     3870 rat.pos
0.000015     3871 rat.cop
0.000015     3872 rat.neg._proof_1
0.000014     3873 rat.neg
0.000018     3874 sub_neg_monoid.sub._default
0.000018     3875 add_group.sub._default
0.000018     3876 add_comm_group.sub._default
0.000018     3877 ring.sub._default
0.000018     3878 comm_ring.sub._default
0.000018     3879 rat.field._proof_3
0.000018     3880 rat.field._proof_4
0.000018     3881 rat.field._proof_5
0.000018     3882 rat.has_neg
0.000019     3883 rat.neg_def
0.000018     3884 rat.add_left_neg
0.000018     3885 comm_semigroup.to_is_commutative
0.000018     3886 rat.add_comm
0.000018     3887 rat.mul._main
0.000018     3888 rat.mul
0.000018     3889 rat.has_mul
0.000018     3890 rat.mul_def
0.000018     3891 rat.mul_assoc
0.000018     3892 rat.has_one
0.000018     3893 rat.one_mul
0.000018     3894 rat.mul_one
0.000018     3895 comm_ring.npow._default
0.000018     3896 rat.field._proof_6
0.000018     3897 rat.field._proof_7
0.000018     3898 rat.mul_comm
0.000019     3899 rat.add_mul
0.000017     3900 rat.mul_add
0.000019     3901 rat.inv._main
0.000017     3902 rat.inv
0.000019     3903 rat.field._proof_8
0.000018     3904 rat.field._proof_9
0.000018     3905 rat.field._proof_10
0.000018     3906 rat.mk'.inj_arrow
0.000018     3907 rat.mk_eq_zero
0.000015     3908 rat.zero_ne_one
0.000015     3909 rat.field._proof_11
0.000018     3910 rat.has_inv
0.000018     3911 rat.inv._main._proof_1
0.000018     3912 rat.inv._main.equations._eqn_2
0.000018     3913 rat.inv.equations._eqn_2
0.000018     3914 rat.inv._main._proof_2
0.000018     3915 rat.inv._main.equations._eqn_3
0.000018     3916 rat.inv.equations._eqn_3
0.000018     3917 rat.inv_def
0.000018     3918 rat.mul_inv_cancel
0.000018     3919 rat.field._proof_12
0.000018     3920 rat.field
0.000018     3921 rat.nonneg
0.000018     3922 rat.division_ring
0.000018     3923 rat.add_comm_group
0.000018     3924 rat.add_group
0.000018     3925 rat.le
0.000018     3926 partial_order.lt._default
0.000018     3927 rat.has_le
0.000018     3928 rat.le_refl
0.000018     3929 rat.add_comm_monoid
0.000019     3930 rat.add_comm_semigroup
0.000018     3931 add_semiconj_by
0.000018     3932 add_commute
0.000018     3933 add_commute.eq
0.000018     3934 add_commute.add_neg_cancel
0.000019     3935 add_commute.add_neg_cancel_assoc
0.000017     3936 add_commute.all
0.000019     3937 add_neg_cancel_comm_assoc
0.000018     3938 rat.nonneg.equations._eqn_1
0.000018     3939 nonneg_of_mul_nonneg_right
0.000018     3940 mul_nonneg
0.000018     3941 rat.mk_nonneg
0.000018     3942 le_add_of_nonneg_of_le
0.000018     3943 add_nonneg
0.000018     3944 rat.nonneg_add
0.000018     3945 rat.le_trans
0.000019     3946 rat.linear_order._proof_1
0.000017     3947 rat.nonneg_antisymm
0.000019     3948 rat.le_antisymm
0.000018     3949 neg_le_neg
0.000018     3950 neg_nonneg_of_nonpos
0.000018     3951 rat.nonneg_total
0.000018     3952 rat.le_total
0.000018     3953 rat.decidable_nonneg._proof_1
0.000018     3954 rat.decidable_nonneg
0.000018     3955 rat.decidable_eq._proof_1
0.000018     3956 rat.decidable_eq._proof_2
0.000018     3957 rat.decidable_eq._proof_3
0.000018     3958 rat.decidable_eq
0.000018     3959 rat.linear_order._proof_2
0.000018     3960 rat.linear_order
0.000018     3961 rat.le.equations._eqn_1
0.000018     3962 add_sub_add_left_eq_sub
0.000018     3963 rat.add_le_add_left
0.000018     3964 rat.linear_ordered_field._proof_1
0.000018     3965 rat.decidable_le._main
0.000018     3966 rat.decidable_le
0.000018     3967 rat.linear_ordered_field._proof_2
0.000018     3968 rat.lattice
0.000018     3969 rat.semilattice_inf
0.000018     3970 rat.partial_order
0.000018     3971 sub_zero
0.000018     3972 rat.nonneg_iff_zero_le
0.000018     3973 rat.nonneg_mul
0.000018     3974 rat.mul_nonneg
0.000018     3975 rat.preorder
0.000018     3976 rat.semiring
0.000018     3977 division_ring.to_domain._proof_1
0.000018     3978 division_ring.to_domain
0.000018     3979 rat.linear_ordered_field._proof_3
0.000018     3980 rat.linear_ordered_field
0.000018     3981 field.to_euclidean_domain._proof_1
0.000018     3982 mul_div_cancel'
0.000018     3983 field.to_euclidean_domain._proof_2
0.000019     3984 field.to_euclidean_domain._match_1
0.000018     3985 field.to_euclidean_domain._match_2
1.390478     3986 field.to_euclidean_domain._proof_3
0.000078     3987 field.to_euclidean_domain._proof_4
0.000021     3988 field.to_euclidean_domain._match_3
0.000016     3989 field.to_euclidean_domain._proof_5
0.000015     3990 field.to_euclidean_domain
0.000015     3991 rat.comm_ring
0.000015     3992 rat.linear_ordered_comm_ring
0.000015     3993 rat.linear_ordered_ring
0.000014     3994 rat.linear_ordered_add_comm_group
0.000019     3995 le_abs_self
0.000018     3996 neg_le_abs_self
0.000016     3997 abs_nonneg
0.000015     3998 iff_def'
0.000017     3999 decidable.not_imp_not
0.000019     4000 decidable.not_iff_not
0.000016     4001 not_iff_not
0.000017     4002 ne_comm
0.000020     4003 has_le.le.lt_iff_ne
0.000026     4004 abs_eq_zero
0.000018     4005 max_le_iff
0.000018     4006 abs_le'
0.000018     4007 neg_le
0.000016     4008 abs_le
0.000014     4009 abs_add
0.000018     4010 neg_eq_iff_neg_eq
0.000015     4011 abs.equations._eqn_1
0.000018     4012 abs_neg
0.000018     4013 abs_eq
0.000018     4014 abs_mul
0.000018     4015 abs_is_absolute_value
0.000017     4016 real
0.000016     4017 real.cases_on
0.000019     4018 cau_seq.pos
0.000018     4019 cau_seq.has_lt
0.000018     4020 sub_neg_eq_add
0.000018     4021 sub_sub_sub_cancel_right
0.000018     4022 sub_self_div_two
0.000018     4023 has_le.le.trans_lt
0.000018     4024 sup_lt_iff
0.000017     4025 max_lt_iff
0.000018     4026 neg_lt
0.000018     4027 abs_lt
0.000018     4028 cau_seq.pos_add_lim_zero
0.000018     4029 cau_seq.lt_of_eq_of_lt
0.000018     4030 cau_seq.lt_of_lt_of_eq
0.000018     4031 _private.3981297311.lt._main
0.000018     4032 _private.3981297311.lt
0.000018     4033 real.has_lt
0.000018     4034 _private.1680458781.le
0.000018     4035 real.has_le
0.000018     4036 cau_seq.completion.mk
0.000018     4037 cau_seq.completion.of_rat
0.000018     4038 cau_seq.completion.Cauchy.has_zero
0.000018     4039 _private.4025661507.zero
0.000018     4040 real.has_zero
0.000018     4041 nnreal
0.000018     4042 ennreal
0.000018     4043 has_edist
0.000017     4044 has_edist.edist
0.000018     4045 canonically_ordered_comm_semiring.mul
0.000018     4046 canonically_ordered_comm_semiring.mul_assoc
0.000018     4047 canonically_ordered_comm_semiring.one
0.000018     4048 canonically_ordered_comm_semiring.one_mul
0.000018     4049 canonically_ordered_comm_semiring.mul_one
0.000018     4050 canonically_ordered_comm_semiring.npow
0.000018     4051 canonically_ordered_comm_semiring.npow_zero'
0.000018     4052 canonically_ordered_comm_semiring.npow_succ'
0.000018     4053 canonically_ordered_comm_semiring.zero_mul
0.000018     4054 canonically_ordered_comm_semiring.mul_zero
0.000018     4055 canonically_ordered_comm_semiring.left_distrib
0.000018     4056 canonically_ordered_comm_semiring.right_distrib
0.000018     4057 canonically_ordered_comm_semiring.mul_comm
0.000018     4058 canonically_ordered_comm_semiring.to_comm_semiring
0.000018     4059 option.bind._main
0.000018     4060 option.bind
0.000018     4061 option.map
0.000018     4062 with_top.has_add
0.000018     4063 additive
0.000018     4064 with_zero
0.000018     4065 additive.of_mul._proof_1
0.000018     4066 additive.of_mul._proof_2
0.000018     4067 additive.of_mul
0.000018     4068 additive.to_mul
0.000018     4069 additive.has_add
0.000018     4070 additive.add_semigroup
0.000018     4071 additive.add_monoid._proof_1
0.000017     4072 additive.has_zero
0.000019     4073 additive.add_zero_class._proof_1
0.000018     4074 additive.add_zero_class._proof_2
0.000018     4075 additive.add_zero_class
0.000018     4076 additive.add_monoid._proof_2
0.000018     4077 additive.add_monoid._proof_3
0.000017     4078 additive.add_monoid._proof_4
0.000019     4079 additive.add_monoid._proof_5
0.000017     4080 additive.add_monoid
0.000019     4081 additive.add_comm_monoid._proof_1
0.000017     4082 additive.add_comm_monoid._proof_2
0.000018     4083 additive.add_comm_monoid._proof_3
0.000018     4084 additive.add_comm_monoid._proof_4
0.000019     4085 additive.add_comm_monoid._proof_5
0.000018     4086 additive.add_comm_semigroup._proof_1
0.000018     4087 additive.add_comm_semigroup._proof_2
0.000018     4088 additive.add_comm_semigroup
0.000018     4089 additive.add_comm_monoid._proof_6
0.000017     4090 additive.add_comm_monoid
0.000018     4091 with_zero.has_coe_t
0.000018     4092 with_zero.has_one
0.000018     4093 with_zero.has_zero
0.000018     4094 with_zero.mul_zero_class._proof_1
0.000018     4095 with_zero.mul_zero_class._proof_2
0.000018     4096 with_zero.mul_zero_class
0.000018     4097 with_zero.mul_zero_one_class._match_1
0.000018     4098 with_zero.mul_zero_one_class._proof_1
0.000018     4099 with_zero.mul_zero_one_class._match_2
0.000018     4100 with_zero.mul_zero_one_class._proof_2
0.000018     4101 with_zero.mul_zero_one_class._proof_3
0.000018     4102 with_zero.mul_zero_one_class._proof_4
0.000018     4103 with_zero.mul_zero_one_class
0.000018     4104 with_zero.semigroup._match_1
0.000018     4105 with_zero.semigroup._proof_1
0.000018     4106 with_zero.semigroup
0.000018     4107 with_zero.monoid_with_zero._proof_1
0.000018     4108 with_zero.monoid_with_zero._proof_2
0.078631     4109 with_zero.monoid_with_zero._proof_3
0.000059     4110 with_zero.monoid_with_zero._proof_4
0.000024     4111 with_zero.monoid_with_zero._proof_5
0.000016     4112 with_zero.monoid_with_zero._proof_6
0.000015     4113 with_zero.monoid_with_zero._proof_7
0.000014     4114 with_zero.monoid_with_zero._proof_8
0.000015     4115 with_zero.monoid_with_zero._proof_9
0.000015     4116 with_zero.monoid_with_zero
0.000015     4117 with_zero.comm_monoid_with_zero._proof_1
0.000022     4118 with_zero.comm_monoid_with_zero._proof_2
0.000018     4119 with_zero.comm_monoid_with_zero._proof_3
0.000018     4120 with_zero.comm_monoid_with_zero._proof_4
0.000019     4121 with_zero.comm_monoid_with_zero._proof_5
0.000018     4122 with_zero.comm_semigroup._proof_1
0.000018     4123 with_zero.mul_zero
0.000018     4124 with_zero.comm_semigroup._match_1
0.000018     4125 with_zero.comm_semigroup._proof_2
0.000019     4126 with_zero.comm_semigroup
0.000018     4127 with_zero.comm_monoid_with_zero._proof_6
0.000018     4128 with_zero.comm_monoid_with_zero._proof_7
0.000018     4129 with_zero.comm_monoid_with_zero._proof_8
0.000018     4130 with_zero.comm_monoid_with_zero
0.000018     4131 with_top.add_comm_monoid._proof_1
0.000019     4132 with_top.has_coe_t
0.000018     4133 with_top.has_zero
0.000018     4134 with_top.add_comm_monoid._proof_2
0.000018     4135 with_top.add_comm_monoid._proof_3
0.000019     4136 with_top.add_comm_monoid._proof_4
0.000018     4137 with_top.add_comm_monoid._proof_5
0.000018     4138 with_top.add_comm_monoid._proof_6
0.000018     4139 with_top.add_comm_monoid
0.000018     4140 with_top.canonically_ordered_comm_semiring._proof_1
0.000019     4141 with_top.canonically_ordered_comm_semiring._proof_2
0.000018     4142 with_top.canonically_ordered_comm_semiring._proof_3
0.000018     4143 with_top.canonically_ordered_comm_semiring._proof_4
0.000018     4144 with_top.canonically_ordered_comm_semiring._proof_5
0.000019     4145 with_top.canonically_ordered_comm_semiring._proof_6
0.000018     4146 with_top.ordered_add_comm_monoid._proof_1
0.000018     4147 with_top.ordered_add_comm_monoid._proof_2
0.000018     4148 with_top.ordered_add_comm_monoid._proof_3
0.000019     4149 with_top.ordered_add_comm_monoid._proof_4
0.000018     4150 with_top.ordered_add_comm_monoid._proof_5
0.000018     4151 with_top.ordered_add_comm_monoid._proof_6
0.000018     4152 option.has_mem
0.000018     4153 with_top.has_lt
0.000018     4154 with_top.preorder._proof_1
0.000018     4155 with_top.preorder._match_1
0.000018     4156 with_top.preorder._match_2
0.000019     4157 with_top.preorder._proof_2
0.000018     4158 option.not_mem_none
0.000018     4159 Exists.fst
0.000018     4160 exists_prop_of_false
0.000018     4161 exists_false_left
0.000018     4162 exists_false
0.000018     4163 option.mem_def
0.000019     4164 option.some.inj
0.000018     4165 option.some.inj_eq
0.000018     4166 forall_eq'
0.000018     4167 exists_eq_left'
0.000018     4168 exists_eq'
0.000018     4169 with_top.some_lt_none
0.000018     4170 with_top.some_lt_some
0.000018     4171 with_top.preorder._proof_3
0.000019     4172 with_top.preorder
0.000018     4173 with_top.partial_order._proof_1
0.000018     4174 with_top.partial_order._proof_2
0.000018     4175 with_top.partial_order._proof_3
0.000018     4176 with_top.partial_order._proof_4
0.000019     4177 with_top.partial_order
0.000018     4178 with_top.ordered_add_comm_monoid._proof_7
0.000018     4179 with_top.ordered_add_comm_monoid._proof_8
0.000018     4180 with_top.ordered_add_comm_monoid._proof_9
0.000019     4181 with_top.ordered_add_comm_monoid._proof_10
0.000017     4182 has_top
0.000019     4183 has_top.top
0.000018     4184 with_top.has_top
0.000018     4185 order_top
0.000018     4186 order_top.top
0.000018     4187 order_top.to_has_top
0.000019     4188 with_top.order_top._proof_1
0.000027     4189 with_top.order_top._proof_2
0.000016     4190 with_top.order_top._proof_3
0.000015     4191 with_top.order_top._proof_4
0.000018     4192 with_top.order_top._proof_5
0.000016     4193 with_top.order_top
0.000015     4194 with_top.none_eq_top
0.000018     4195 with_top.top_add
0.000018     4196 order_top.le
0.000018     4197 order_top.lt
0.000018     4198 order_top.le_refl
0.000019     4199 order_top.le_trans
0.000018     4200 order_top.lt_iff_le_not_le
0.000018     4201 order_top.le_antisymm
0.000018     4202 order_top.to_partial_order
0.000018     4203 order_top.le_top
0.000019     4204 le_top
0.000018     4205 top_unique
0.000018     4206 top_le_iff
0.000018     4207 with_top.add_top
0.000018     4208 with_top.coe_ne_top
0.000019     4209 with_top.top_ne_coe
0.000018     4210 with_top.some_eq_coe
0.000018     4211 option.some_inj
0.000018     4212 with_top.coe_le_coe
0.000018     4213 with_top.coe_eq_coe
0.000019     4214 with_top.le_coe_iff
0.000018     4215 with_top.coe_add
0.000018     4216 with_top.ordered_add_comm_monoid._proof_11
0.000018     4217 not_top_lt
0.000016     4218 with_top.lt_iff_exists_coe
0.000017     4219 exists_and_distrib_left
0.000018     4220 with_top.add_eq_coe
0.152661     4221 with_top.coe_lt_top
0.000072     4222 with_top.coe_lt_coe
0.000024     4223 with_top.coe_lt_iff
0.000016     4224 with_top.ordered_add_comm_monoid._proof_12
0.000015     4225 with_top.ordered_add_comm_monoid
0.000015     4226 with_top.canonically_ordered_add_monoid._proof_1
0.000015     4227 with_top.canonically_ordered_add_monoid._proof_2
0.000015     4228 with_top.canonically_ordered_add_monoid._proof_3
0.000015     4229 with_top.canonically_ordered_add_monoid._proof_4
0.000019     4230 with_top.canonically_ordered_add_monoid._proof_5
0.000019     4231 with_top.canonically_ordered_add_monoid._proof_6
0.000018     4232 with_top.order_bot._proof_1
0.000016     4233 with_top.order_bot._proof_2
0.000020     4234 with_top.order_bot._proof_3
0.000016     4235 with_top.order_bot._proof_4
0.000018     4236 with_top.order_bot._proof_5
0.000016     4237 with_top.order_bot
0.000015     4238 canonically_ordered_add_monoid.bot
0.000015     4239 canonically_ordered_add_monoid.bot_le
0.000017     4240 canonically_ordered_add_monoid.to_order_bot
0.000019     4241 with_top.canonically_ordered_add_monoid._proof_7
0.000018     4242 with_top.canonically_ordered_add_monoid._proof_8
0.000016     4243 with_top.canonically_ordered_add_monoid._proof_9
0.000017     4244 with_top.canonically_ordered_add_monoid._proof_10
0.000016     4245 with_top.canonically_ordered_add_monoid._proof_11
0.000018     4246 with_top.canonically_ordered_add_monoid._proof_12
0.000016     4247 with_top.canonically_ordered_add_monoid._proof_13
0.000018     4248 iff_true
0.000019     4249 true_iff
0.000018     4250 with_zero.coe_inj
0.000018     4251 with_top.canonically_ordered_add_monoid._match_2
0.000018     4252 with_top.canonically_ordered_add_monoid._match_1
0.000019     4253 with_top.canonically_ordered_add_monoid._proof_14
0.000018     4254 with_top.canonically_ordered_add_monoid
0.000018     4255 with_top.canonically_ordered_comm_semiring._proof_7
0.000018     4256 with_top.canonically_ordered_comm_semiring._proof_8
0.000019     4257 with_top.canonically_ordered_comm_semiring._proof_9
0.000018     4258 with_top.canonically_ordered_comm_semiring._proof_10
0.000018     4259 with_top.canonically_ordered_comm_semiring._proof_11
0.000018     4260 with_top.canonically_ordered_comm_semiring._proof_12
0.000018     4261 with_top.canonically_ordered_comm_semiring._proof_13
0.000018     4262 with_top.canonically_ordered_comm_semiring._proof_14
0.000019     4263 option.decidable_eq._match_1
0.000018     4264 option.decidable_eq._main
0.000018     4265 option.decidable_eq
0.000018     4266 coe_option
0.000019     4267 with_top.mul_zero_class._proof_1
0.000018     4268 with_top.mul_zero_class._proof_2
0.000018     4269 with_top.mul_zero_class
0.000018     4270 with_top.mul_def
0.000018     4271 with_top.top_ne_zero
0.000018     4272 option.none_bind'
0.000019     4273 option.some_bind'
0.000018     4274 with_top.top_mul
0.000018     4275 with_top.coe_eq_zero
0.000018     4276 with_top.coe_zero
0.000018     4277 with_top.no_zero_divisors
0.000016     4278 canonically_ordered_comm_semiring.eq_zero_or_eq_zero_of_mul_eq_zero
0.000016     4279 canonically_ordered_semiring.canonically_ordered_comm_semiring.to_no_zero_divisors
0.000018     4280 with_top.mul_top
0.000018     4281 with_top.coe_mul
0.000018     4282 _private.1496150777.assoc
0.000018     4283 with_top.canonically_ordered_comm_semiring._proof_15
0.000018     4284 with_top.has_one
0.000019     4285 _private.1921428095.one_mul'
0.000018     4286 with_top.canonically_ordered_comm_semiring._proof_16
0.000018     4287 option.bind_comm
0.000018     4288 _private.1513708531.comm
0.000018     4289 with_top.canonically_ordered_comm_semiring._proof_17
0.000019     4290 comm_semiring.npow._default
0.000018     4291 with_top.canonically_ordered_comm_semiring._proof_18
0.000018     4292 with_top.canonically_ordered_comm_semiring._proof_19
0.000018     4293 with_top.canonically_ordered_comm_semiring._proof_20
0.000019     4294 with_top.canonically_ordered_comm_semiring._proof_21
0.000018     4295 with_top.canonically_ordered_comm_semiring._proof_22
0.000018     4296 with_top.canonically_ordered_comm_semiring._proof_23
0.000018     4297 with_top.add_monoid._proof_1
0.000018     4298 with_top.add_monoid._proof_2
0.000018     4299 with_top.add_monoid._proof_3
0.000019     4300 with_top.add_monoid._proof_4
0.000018     4301 with_top.add_monoid._proof_5
0.000018     4302 with_top.add_monoid
0.000018     4303 le_add_of_le_of_nonneg
0.000018     4304 add_eq_zero_iff'
0.000018     4305 add_eq_zero_iff
0.000018     4306 with_top.mul_coe
0.000018     4307 _private.3942296829.distrib'
0.000018     4308 with_top.canonically_ordered_comm_semiring._proof_24
0.000019     4309 with_top.canonically_ordered_comm_semiring._proof_25
0.000018     4310 with_top.canonically_ordered_comm_semiring._proof_26
3.497617     4311 with_top.canonically_ordered_comm_semiring._proof_27
0.000079     4312 with_top.canonically_ordered_comm_semiring
0.000024     4313 subtype.decidable_eq._proof_1
0.000016     4314 subtype.no_confusion_type
0.000015     4315 subtype.no_confusion
0.000015     4316 subtype.mk.inj
0.000015     4317 subtype.mk.inj_arrow
0.000015     4318 subtype.decidable_eq._proof_2
0.000015     4319 subtype.decidable_eq
0.000015     4320 real.decidable_eq
0.000015     4321 canonically_linear_ordered_add_monoid
0.000017     4322 canonically_linear_ordered_add_monoid.add
0.000019     4323 cau_seq.completion.Cauchy.has_add._proof_1
0.000018     4324 cau_seq.completion.Cauchy.has_add
0.000019     4325 _private.1733257311.add._main
0.000015     4326 _private.1733257311.add
0.000020     4327 real.has_add
0.000018     4328 nnreal.real.has_coe
0.000020     4329 _private.1733257311.add._main.equations._eqn_1
0.000018     4330 _private.1733257311.add.equations._eqn_1
0.000018     4331 real.add_cauchy
0.000018     4332 real.no_confusion_type
0.000018     4333 real.no_confusion
0.000018     4334 real.of_cauchy.inj
0.000018     4335 real.of_cauchy.inj_eq
0.000018     4336 quotient.induction_on
0.000018     4337 cau_seq.completion.mk_eq_mk
0.000019     4338 cau_seq.completion.mk_add
0.000017     4339 cau_seq.completion.Cauchy.comm_ring._proof_1
0.000019     4340 _private.935358239.zero_def
0.000018     4341 cau_seq.completion.Cauchy.comm_ring._proof_2
0.000018     4342 cau_seq.completion.Cauchy.comm_ring._proof_3
0.000018     4343 cau_seq.completion.Cauchy.comm_ring._proof_4
0.000018     4344 cau_seq.completion.Cauchy.comm_ring._proof_5
0.000018     4345 quotient.lift_on
0.000019     4346 sub_eq_neg_add
0.000018     4347 neg_sub_neg
0.000018     4348 cau_seq.completion.Cauchy.has_neg._proof_1
0.000018     4349 cau_seq.completion.Cauchy.has_neg
0.000018     4350 cau_seq.sub_lim_zero
0.000018     4351 cau_seq.completion.Cauchy.has_sub._proof_1
0.000018     4352 cau_seq.completion.Cauchy.has_sub
0.000018     4353 cau_seq.completion.mk_sub
0.000018     4354 cau_seq.completion.mk_neg
0.000018     4355 cau_seq.completion.Cauchy.comm_ring._proof_6
0.000018     4356 cau_seq.completion.Cauchy.comm_ring._proof_7
0.000018     4357 cau_seq.completion.Cauchy.comm_ring._proof_8
0.000016     4358 cau_seq.comm_ring._proof_1
0.000016     4359 cau_seq.comm_ring._proof_2
0.000017     4360 cau_seq.comm_ring._proof_3
0.000018     4361 cau_seq.comm_ring._proof_4
0.000018     4362 cau_seq.comm_ring._proof_5
0.000019     4363 cau_seq.comm_ring._proof_6
0.000018     4364 cau_seq.comm_ring._proof_7
0.000018     4365 cau_seq.comm_ring._proof_8
0.000018     4366 cau_seq.comm_ring._proof_9
0.000018     4367 cau_seq.comm_ring._proof_10
0.000018     4368 cau_seq.comm_ring._proof_11
0.000018     4369 cau_seq.comm_ring._proof_12
0.000018     4370 cau_seq.comm_ring._proof_13
0.000018     4371 cau_seq.comm_ring._proof_14
0.000018     4372 cau_seq.comm_ring._proof_15
0.000018     4373 cau_seq.comm_ring._proof_16
0.000018     4374 cau_seq.comm_ring
0.000018     4375 cau_seq.completion.Cauchy.has_mul._proof_1
0.000018     4376 cau_seq.completion.Cauchy.has_mul
0.000018     4377 cau_seq.completion.mk_mul
0.000018     4378 cau_seq.completion.Cauchy.comm_ring._proof_9
0.000018     4379 cau_seq.completion.Cauchy.has_one
0.000018     4380 _private.2074959703.one_def
0.000018     4381 cau_seq.completion.Cauchy.comm_ring._proof_10
0.000018     4382 cau_seq.completion.Cauchy.comm_ring._proof_11
0.000019     4383 cau_seq.completion.Cauchy.comm_ring._proof_12
0.000017     4384 cau_seq.completion.Cauchy.comm_ring._proof_13
0.000019     4385 cau_seq.completion.Cauchy.comm_ring._proof_14
0.000018     4386 cau_seq.completion.Cauchy.comm_ring._proof_15
0.000018     4387 cau_seq.completion.Cauchy.comm_ring._proof_16
0.000018     4388 cau_seq.completion.Cauchy.comm_ring
0.000018     4389 real.comm_ring._proof_1
0.000018     4390 _private.4025661507.zero.equations._eqn_1
0.000018     4391 real.zero_cauchy
0.000018     4392 real.comm_ring._proof_2
0.000018     4393 real.comm_ring._proof_3
0.000018     4394 real.comm_ring._proof_4
0.000018     4395 real.comm_ring._proof_5
0.000018     4396 _private.891623003.neg._main
0.000018     4397 _private.891623003.neg
0.000018     4398 real.has_neg
0.000018     4399 real.comm_ring._proof_6
0.000018     4400 _private.891623003.neg._main.equations._eqn_1
0.000018     4401 _private.891623003.neg.equations._eqn_1
0.000018     4402 real.neg_cauchy
0.000018     4403 real.comm_ring._proof_7
0.000018     4404 real.comm_ring._proof_8
0.000018     4405 _private.746892543.mul._main
0.000018     4406 _private.746892543.mul
0.000018     4407 real.has_mul
0.000018     4408 _private.746892543.mul._main.equations._eqn_1
0.000018     4409 _private.746892543.mul.equations._eqn_1
0.000018     4410 real.mul_cauchy
0.000018     4411 real.comm_ring._proof_9
0.000018     4412 _private.1871799945.one
0.000018     4413 real.has_one
0.000018     4414 _private.1871799945.one.equations._eqn_1
0.000018     4415 real.one_cauchy
4.113463     4416 real.comm_ring._proof_10
0.000076     4417 real.comm_ring._proof_11
0.000024     4418 real.comm_ring._proof_12
0.000015     4419 real.comm_ring._proof_13
0.000015     4420 real.comm_ring._proof_14
0.000062     4421 real.comm_ring._proof_15
0.000017     4422 real.comm_ring._proof_16
0.000015     4423 real.comm_ring
0.000019     4424 rat.ordered_ring
0.000019     4425 real.mk
0.000016     4426 real.ind_mk
0.000014     4427 cau_seq.has_le
0.000019     4428 _private.1680458781.le.equations._eqn_1
0.000015     4429 _private.2622093771.le_def
0.000018     4430 _private.3981297311.lt._main.equations._eqn_1
0.000018     4431 _private.3981297311.lt.equations._eqn_1
0.000016     4432 real.lt_cauchy
0.000015     4433 real.mk_lt
0.000014     4434 real.cauchy
0.000018     4435 real.ext_cauchy_iff
0.000018     4436 cau_seq.completion.mk_eq
0.000018     4437 real.mk_eq
0.000018     4438 real.mk_le
0.000018     4439 cau_seq.preorder._proof_1
0.000018     4440 cau_seq.add_pos
0.000018     4441 cau_seq.lt_trans
0.000018     4442 cau_seq.preorder._match_1
0.000018     4443 cau_seq.preorder._proof_2
0.000018     4444 cau_seq.not_lim_zero_of_pos
0.000018     4445 cau_seq.lt_irrefl
0.000018     4446 cau_seq.preorder._match_2
0.000018     4447 cau_seq.preorder._proof_3
0.000018     4448 cau_seq.preorder
0.000016     4449 real.partial_order._proof_1
0.000015     4450 real.partial_order._proof_2
0.000017     4451 real.partial_order._proof_3
0.000018     4452 cau_seq.le_antisymm
0.000018     4453 real.partial_order._proof_4
0.000018     4454 real.partial_order
0.000018     4455 real.ring
0.000018     4456 real.add_comm_group
0.000018     4457 real.add_group
0.000018     4458 real.add_right_cancel_semigroup
0.000018     4459 real.preorder
0.000018     4460 real.inhabited
0.000018     4461 real.mk.equations._eqn_1
0.000018     4462 real.mk_add
0.000017     4463 real.add_lt_add_iff_left
0.000018     4464 real.ordered_ring._proof_1
0.000018     4465 semiring.add_assoc
0.000018     4466 semiring.zero_add
0.000018     4467 semiring.add_zero
0.000018     4468 semiring.nsmul
0.000018     4469 semiring.nsmul_zero'
0.000018     4470 semiring.nsmul_succ'
0.000018     4471 semiring.add_comm
0.000018     4472 semiring.to_add_comm_monoid
0.000018     4473 ring_hom
0.000018     4474 real.semiring
0.000018     4475 ring_hom.to_fun
0.000018     4476 ring_hom.has_coe_to_fun
0.000018     4477 function.comp_app
0.000018     4478 cau_seq.completion.of_rat_one
0.000018     4479 real.of_rat._proof_1
0.000018     4480 cau_seq.const_mul
0.000018     4481 cau_seq.completion.of_rat_mul
0.000017     4482 euclidean_domain.exists_pair_ne
0.000018     4483 euclidean_domain.to_nontrivial
0.000018     4484 rat.nontrivial
0.000018     4485 real.of_rat._proof_2
0.000018     4486 cau_seq.completion.of_rat_zero
0.000018     4487 real.of_rat._proof_3
0.000018     4488 cau_seq.const_add
0.000018     4489 cau_seq.completion.of_rat_add
0.000018     4490 real.of_rat._proof_4
0.000018     4491 real.of_rat
0.000018     4492 rat.ordered_semiring
0.000018     4493 ring_hom.map_zero'
0.000018     4494 ring_hom.map_zero
0.000018     4495 ring_hom.map_one'
0.000018     4496 ring_hom.map_one
0.000018     4497 rat.has_lt
0.000017     4498 cau_seq.const_sub
0.000019     4499 cau_seq.const_pos
0.000017     4500 cau_seq.const_lt
0.000018     4501 real.of_rat_lt
0.000018     4502 real.zero_lt_one
0.000018     4503 real.ordered_ring._proof_2
0.000018     4504 real.mk_zero
0.000018     4505 iff_of_eq
0.000018     4506 real.mk_pos
0.000018     4507 real.mk_mul
0.000018     4508 mul_le_mul
0.000018     4509 cau_seq.mul_pos
0.000018     4510 real.mul_pos
0.000018     4511 real.ordered_ring
0.000018     4512 real.ordered_semiring
0.000018     4513 real.ordered_cancel_add_comm_monoid
0.000018     4514 real.ordered_add_comm_monoid
0.000018     4515 nnreal.has_add._proof_1
0.000018     4516 nnreal.has_add
0.000018     4517 function.injective.add_semigroup._proof_1
0.000019     4518 function.injective.add_semigroup
0.000018     4519 function.injective.add_comm_semigroup._proof_1
0.000018     4520 function.injective.add_comm_semigroup._proof_2
0.000018     4521 function.injective.add_comm_semigroup
0.000018     4522 function.injective.add_comm_monoid._proof_1
0.000018     4523 function.injective.add_monoid._proof_1
0.000018     4524 function.injective.add_zero_class._proof_1
0.000018     4525 function.injective.add_zero_class._proof_2
0.000018     4526 function.injective.add_zero_class
0.000018     4527 function.injective.add_monoid._proof_2
0.000018     4528 function.injective.add_monoid._proof_3
0.000019     4529 function.injective.add_monoid._proof_4
0.000017     4530 function.injective.add_monoid._proof_5
0.000019     4531 function.injective.add_monoid._proof_6
0.000017     4532 function.injective.add_monoid._proof_7
0.000019     4533 function.injective.add_monoid
0.000018     4534 function.injective.add_comm_monoid._proof_2
0.000018     4535 function.injective.add_comm_monoid._proof_3
0.000018     4536 function.injective.add_comm_monoid._proof_4
0.000018     4537 function.injective.add_comm_monoid._proof_5
0.000018     4538 function.injective.add_comm_monoid._proof_6
0.139616     4539 function.injective.add_comm_monoid
0.000064     4540 function.injective.semiring._proof_1
0.000025     4541 function.injective.semigroup._proof_1
0.000015     4542 function.injective.semigroup
0.000015     4543 function.injective.monoid._proof_1
0.000015     4544 function.injective.mul_one_class._proof_1
0.000015     4545 function.injective.mul_one_class._proof_2
0.000015     4546 function.injective.mul_one_class
0.000015     4547 function.injective.monoid._proof_2
0.000015     4548 function.injective.monoid._proof_3
0.000018     4549 function.injective.monoid._proof_4
0.000018     4550 function.injective.monoid._proof_5
0.000016     4551 function.injective.monoid._proof_6
0.000015     4552 function.injective.monoid._proof_7
0.000015     4553 function.injective.monoid
0.000018     4554 function.injective.monoid_with_zero._proof_1
0.000018     4555 function.injective.monoid_with_zero._proof_2
0.000018     4556 function.injective.monoid_with_zero._proof_3
0.000016     4557 function.injective.monoid_with_zero._proof_4
0.000015     4558 function.injective.monoid_with_zero._proof_5
0.000015     4559 function.injective.mul_zero_class._proof_1
0.000017     4560 function.injective.mul_zero_class._proof_2
0.000018     4561 function.injective.mul_zero_class
0.000018     4562 function.injective.monoid_with_zero._proof_6
0.000018     4563 function.injective.monoid_with_zero._proof_7
0.000019     4564 function.injective.monoid_with_zero
0.000018     4565 function.injective.semiring._proof_2
0.000018     4566 function.injective.semiring._proof_3
0.000019     4567 function.injective.semiring._proof_4
0.000018     4568 function.injective.semiring._proof_5
0.000018     4569 function.injective.semiring._proof_6
0.000018     4570 function.injective.semiring._proof_7
0.000018     4571 function.injective.semiring._proof_8
0.000018     4572 function.injective.semiring._proof_9
0.000019     4573 function.injective.semiring._proof_10
0.000018     4574 function.injective.semiring._proof_11
0.000018     4575 function.injective.semiring._proof_12
0.000018     4576 function.injective.semiring._proof_13
0.000018     4577 function.injective.distrib._proof_1
0.000018     4578 function.injective.distrib._proof_2
0.000019     4579 function.injective.distrib
0.000018     4580 function.injective.semiring._proof_14
0.000018     4581 function.injective.semiring._proof_15
0.000018     4582 function.injective.semiring
0.000018     4583 function.injective.comm_semiring._proof_1
0.000018     4584 function.injective.comm_semiring._proof_2
0.000018     4585 function.injective.comm_semiring._proof_3
0.000018     4586 function.injective.comm_semiring._proof_4
0.000018     4587 function.injective.comm_semiring._proof_5
0.000019     4588 function.injective.comm_semiring._proof_6
0.000018     4589 function.injective.comm_semiring._proof_7
0.000018     4590 function.injective.comm_semiring._proof_8
0.000018     4591 function.injective.comm_semiring._proof_9
0.000018     4592 function.injective.comm_semiring._proof_10
0.000018     4593 function.injective.comm_semiring._proof_11
0.000019     4594 function.injective.comm_semiring._proof_12
0.000018     4595 function.injective.comm_semiring._proof_13
0.000018     4596 function.injective.comm_semiring._proof_14
0.000018     4597 function.injective.comm_semiring._proof_15
0.000018     4598 function.injective.comm_semigroup._proof_1
0.000018     4599 function.injective.comm_semigroup._proof_2
0.000019     4600 function.injective.comm_semigroup
0.000018     4601 function.injective.comm_semiring._proof_16
0.000018     4602 function.injective.comm_semiring
0.000018     4603 comm_ring.to_comm_semiring._proof_1
0.000018     4604 comm_ring.to_comm_semiring._proof_2
0.000018     4605 comm_ring.to_comm_semiring
0.000018     4606 real.comm_semiring
0.000018     4607 nnreal.has_zero._proof_1
0.000018     4608 nnreal.has_zero
0.000018     4609 nnreal.has_one
0.000018     4610 nnreal.has_mul._proof_1
0.000019     4611 nnreal.has_mul
0.000018     4612 coe_subtype
0.000018     4613 subtype.ext
0.000018     4614 subtype.coe_injective
0.000018     4615 nnreal.coe_injective
0.000018     4616 nnreal.comm_semiring._proof_1
0.000018     4617 nnreal.comm_semiring._proof_2
0.000018     4618 nnreal.comm_semiring._proof_3
0.000018     4619 nnreal.comm_semiring._proof_4
0.000016     4620 nnreal.comm_semiring._proof_5
0.000018     4621 nnreal.comm_semiring._proof_6
0.000018     4622 nnreal.comm_semiring._proof_7
0.000018     4623 nnreal.comm_semiring._proof_8
0.000018     4624 nnreal.comm_semiring._proof_9
0.000018     4625 nnreal.comm_semiring._proof_10
0.000019     4626 nnreal.comm_semiring._proof_11
0.000018     4627 nnreal.comm_semiring._proof_12
0.000018     4628 nnreal.comm_semiring._proof_13
0.000018     4629 nnreal.comm_semiring._proof_14
0.000018     4630 nnreal.comm_semiring._proof_15
0.000018     4631 nnreal.comm_semiring._proof_16
0.000018     4632 nnreal.comm_semiring._proof_17
0.614689     4633 nnreal.comm_semiring._proof_18
0.000074     4634 nnreal.comm_semiring._proof_19
0.000024     4635 nnreal.comm_semiring._proof_20
0.000016     4636 nnreal.comm_semiring
0.000015     4637 nnreal.has_bot
0.000014     4638 preorder.lift._proof_1
0.000015     4639 preorder.lift._proof_2
0.000015     4640 preorder.lift._proof_3
0.000015     4641 preorder.lift
0.000015     4642 partial_order.lift._proof_1
0.000018     4643 partial_order.lift._proof_2
0.000018     4644 partial_order.lift._proof_3
0.000016     4645 partial_order.lift._proof_4
0.000015     4646 partial_order.lift
0.000018     4647 linear_order.lift._proof_1
0.000016     4648 linear_order.lift._proof_2
0.000017     4649 linear_order.lift._proof_3
0.000018     4650 linear_order.lift._proof_4
0.000016     4651 linear_order.lift._proof_5
0.000015     4652 eq.decidable
0.000017     4653 has_lt.lt.decidable
0.000016     4654 linear_order.lift
0.000017     4655 ge_iff_le
0.000018     4656 cau_seq.abv_pos_of_not_lim_zero
0.000016     4657 le_neg_add_iff_add_le
0.000015     4658 le_sub_iff_add_le'
0.000015     4659 le_sub_iff_add_le
0.000017     4660 neg_add_le_iff_le_add
0.000016     4661 neg_add_le_iff_le_add'
0.000017     4662 neg_le_sub_iff_le_add
0.000018     4663 neg_le_sub_iff_le_add'
0.000018     4664 add_le_add_iff_right
0.000018     4665 sub_le_sub_iff_right
0.000018     4666 neg_eq_zero_sub
0.000018     4667 zero_sub
0.000018     4668 cau_seq.trichotomy
0.000018     4669 cau_seq.lt_total
0.000018     4670 cau_seq.le_total
0.000019     4671 real.linear_order._proof_1
0.000018     4672 real.linear_order
0.000018     4673 nnreal.linear_order
0.000018     4674 nnreal.order_bot._match_1
0.000019     4675 nnreal.order_bot._proof_1
0.000018     4676 nnreal.order_bot
0.000018     4677 nnreal.canonically_linear_ordered_add_monoid._proof_1
0.000018     4678 nnreal.canonically_linear_ordered_add_monoid._proof_2
0.000018     4679 real.has_sub
0.000019     4680 real.ordered_add_comm_group
0.000018     4681 real.add_monoid
0.000018     4682 nnreal.eq
0.000018     4683 add_sub_cancel'
0.000019     4684 add_sub_cancel'_right
0.000018     4685 nnreal.canonically_linear_ordered_add_monoid._match_1
0.000018     4686 nnreal.canonically_linear_ordered_add_monoid._match_2
0.000018     4687 nnreal.canonically_linear_ordered_add_monoid._match_3
0.000018     4688 nnreal.canonically_linear_ordered_add_monoid._proof_3
0.000019     4689 nnreal.canonically_linear_ordered_add_monoid
0.000018     4690 canonically_linear_ordered_add_monoid.add_assoc
0.000018     4691 canonically_linear_ordered_add_monoid.zero
0.000018     4692 canonically_linear_ordered_add_monoid.zero_add
0.000018     4693 canonically_linear_ordered_add_monoid.add_zero
0.000019     4694 canonically_linear_ordered_add_monoid.nsmul
0.000018     4695 canonically_linear_ordered_add_monoid.nsmul_zero'
0.000018     4696 canonically_linear_ordered_add_monoid.nsmul_succ'
0.000019     4697 canonically_linear_ordered_add_monoid.add_comm
0.000018     4698 canonically_linear_ordered_add_monoid.le
0.000018     4699 canonically_linear_ordered_add_monoid.lt
0.000018     4700 canonically_linear_ordered_add_monoid.le_refl
0.000019     4701 canonically_linear_ordered_add_monoid.le_trans
0.000018     4702 canonically_linear_ordered_add_monoid.lt_iff_le_not_le
0.000018     4703 canonically_linear_ordered_add_monoid.le_antisymm
0.000019     4704 canonically_linear_ordered_add_monoid.add_le_add_left
0.000016     4705 canonically_linear_ordered_add_monoid.lt_of_add_lt_add_left
0.000015     4706 canonically_linear_ordered_add_monoid.bot
0.000017     4707 canonically_linear_ordered_add_monoid.bot_le
0.000018     4708 canonically_linear_ordered_add_monoid.le_iff_exists_add
0.000018     4709 function.injective.group_with_zero._proof_1
0.000019     4710 function.injective.group_with_zero._proof_2
0.000018     4711 function.injective.group_with_zero._proof_3
0.000018     4712 function.injective.group_with_zero._proof_4
0.000018     4713 function.injective.group_with_zero._proof_5
0.000019     4714 function.injective.group_with_zero._proof_6
0.000018     4715 function.injective.group_with_zero._proof_7
0.000018     4716 function.injective.div_inv_monoid._proof_1
0.000018     4717 function.injective.div_inv_monoid._proof_2
0.000018     4718 function.injective.div_inv_monoid._proof_3
0.000018     4719 function.injective.div_inv_monoid._proof_4
0.000019     4720 function.injective.div_inv_monoid._proof_5
0.000018     4721 function.injective.div_inv_monoid._proof_6
0.000018     4722 function.injective.div_inv_monoid
0.000018     4723 function.injective.group_with_zero._proof_8
0.000018     4724 pullback_nonzero
0.000019     4725 function.injective.group_with_zero._proof_9
0.000018     4726 function.injective.group_with_zero._proof_10
0.000018     4727 function.injective.ne
0.000018     4728 function.injective.ne_iff
0.000019     4729 function.injective.ne_iff'
3.505059     4730 function.injective.group_with_zero._proof_11
0.000076     4731 function.injective.group_with_zero
0.000024     4732 function.injective.comm_group_with_zero._proof_1
0.000015     4733 function.injective.comm_group_with_zero._proof_2
0.000015     4734 function.injective.comm_group_with_zero._proof_3
0.000015     4735 function.injective.comm_group_with_zero._proof_4
0.000015     4736 function.injective.comm_group_with_zero._proof_5
0.000015     4737 function.injective.comm_group_with_zero._proof_6
0.000014     4738 function.injective.comm_group_with_zero._proof_7
0.000015     4739 function.injective.comm_group_with_zero._proof_8
0.000018     4740 function.injective.comm_group_with_zero._proof_9
0.000018     4741 function.injective.comm_group_with_zero._proof_10
0.000016     4742 function.injective.comm_group_with_zero._proof_11
0.000015     4743 function.injective.comm_group_with_zero._proof_12
0.000018     4744 function.injective.comm_group_with_zero
0.000016     4745 real.nontrivial
0.000018     4746 real.linear_ordered_comm_ring
0.000018     4747 inv_eq_one_div
0.000018     4748 neg_eq_neg_one_mul
0.000016     4749 mul_div_assoc
0.000015     4750 mul_div_mul_right
0.000015     4751 mul_div_mul_left
0.000015     4752 div_add_div
0.000017     4753 field.to_comm_ring
0.000018     4754 div_sub_div
0.000016     4755 inv_sub_inv
0.000015     4756 ne.equations._eqn_1
0.000015     4757 is_absolute_value.abv_pos
0.000017     4758 monoid_with_zero_hom
0.000016     4759 monoid_with_zero_hom.to_fun
0.000018     4760 monoid_with_zero_hom.has_coe_to_fun
0.000018     4761 monoid_with_zero_hom.map_mul'
0.000018     4762 monoid_with_zero_hom.map_mul
0.000019     4763 monoid_with_zero_hom.map_zero'
0.000018     4764 monoid_with_zero_hom.map_zero
0.000018     4765 monoid_with_zero_hom.map_one'
0.000018     4766 monoid_with_zero_hom.map_one
0.000018     4767 monoid_with_zero_hom.map_inv'
0.000019     4768 monoid_with_zero_hom.map_div
0.000018     4769 is_absolute_value.abv_one
0.000018     4770 is_absolute_value.abv_hom
0.000018     4771 is_absolute_value.abv_div
0.000018     4772 lt_iff_lt_of_le_iff_le
0.000018     4773 div_eq_mul_one_div
0.000019     4774 one_div_pos
0.000018     4775 div_eq_iff_mul_eq
0.000018     4776 div_eq_iff
0.000018     4777 div_le_iff
0.000018     4778 lt_div_iff
0.000018     4779 div_mul_eq_mul_div
0.000018     4780 mul_mul_div
0.000018     4781 le_div_iff
0.000019     4782 div_lt_iff
0.000017     4783 div_lt_div_iff
0.000019     4784 has_lt.lt.trans_le
0.000018     4785 mul_lt_mul
0.000018     4786 div_lt_div
0.000015     4787 rat_inv_continuous_lemma
0.000016     4788 cau_seq.inv_aux
0.000017     4789 cau_seq.inv
0.000018     4790 cau_seq.lim_zero_congr
0.000018     4791 cau_seq.inv_apply
0.000018     4792 cau_seq.inv_mul_cancel
0.000018     4793 cau_seq.completion.Cauchy.has_inv._proof_1
0.000018     4794 cau_seq.completion.Cauchy.has_inv
0.000018     4795 _private.2128078109.inv'._main
0.000018     4796 _private.2128078109.inv'
0.000018     4797 real.has_inv
0.000018     4798 field.div._default
0.000018     4799 real.linear_ordered_field._proof_1
0.000018     4800 real.comm_monoid
0.000018     4801 real.comm_semigroup
0.000019     4802 _private.2128078109.inv'._main.equations._eqn_1
0.000018     4803 _private.2128078109.inv'.equations._eqn_1
0.000018     4804 real.inv_cauchy
0.000018     4805 cau_seq.completion.mk_eq_zero
0.000018     4806 cau_seq.completion.inv_mk
0.000018     4807 cau_seq.completion.inv_mul_cancel
0.000018     4808 real.linear_ordered_field._proof_2
0.000018     4809 cau_seq.completion.inv_zero
0.000018     4810 real.linear_ordered_field._proof_3
0.000019     4811 real.linear_ordered_field
0.000018     4812 real.field
0.000018     4813 nnreal.has_inv._proof_1
0.000018     4814 nnreal.has_inv
0.000018     4815 push_neg.not_and_eq
0.000018     4816 push_neg.not_le_eq
0.000018     4817 lt_asymm
0.000018     4818 has_lt.lt.asymm
0.000018     4819 nonneg_and_nonneg_or_nonpos_and_nonpos_of_mul_nnonneg
0.000018     4820 le_of_neg_le_neg
0.000018     4821 mul_le_mul_of_nonpos_right
0.000018     4822 mul_nonneg_of_nonpos_of_nonpos
0.000018     4823 mul_nonneg_iff
0.000018     4824 inv_nonpos
0.000018     4825 div_nonneg_iff
0.000018     4826 div_nonneg
0.000019     4827 nnreal.has_div._proof_1
0.000018     4828 nnreal.has_div
0.000018     4829 nnreal.comm_group_with_zero._proof_1
0.000018     4830 nnreal.comm_group_with_zero._proof_2
0.000018     4831 nnreal.comm_group_with_zero._proof_3
0.000018     4832 nnreal.comm_group_with_zero._proof_4
0.000018     4833 nnreal.comm_group_with_zero._proof_5
0.000018     4834 nnreal.comm_group_with_zero._proof_6
0.000018     4835 nnreal.comm_group_with_zero._proof_7
0.000018     4836 nnreal.comm_group_with_zero._proof_8
0.000018     4837 nnreal.comm_group_with_zero._proof_9
0.000018     4838 nnreal.comm_group_with_zero._proof_10
0.000018     4839 nnreal.comm_group_with_zero._proof_11
0.000018     4840 nnreal.comm_group_with_zero._proof_12
0.000019     4841 nnreal.comm_group_with_zero._proof_13
0.000018     4842 nnreal.comm_group_with_zero._proof_14
0.334697     4843 nnreal.comm_group_with_zero._proof_15
0.000074     4844 nnreal.comm_group_with_zero._proof_16
0.000025     4845 nnreal.comm_group_with_zero._proof_17
0.000015     4846 nnreal.comm_group_with_zero
0.000015     4847 nnreal.canonically_ordered_comm_semiring._proof_1
0.000015     4848 nnreal.canonically_ordered_comm_semiring
0.000015     4849 real.add_left_cancel_semigroup
0.000015     4850 nnreal.eq_iff
0.000015     4851 nnreal.linear_ordered_semiring._proof_1
0.000015     4852 nnreal.linear_ordered_semiring._proof_2
0.000017     4853 nnreal.linear_ordered_semiring._proof_3
0.000018     4854 nnreal.linear_ordered_semiring._proof_4
0.000019     4855 canonically_linear_ordered_add_monoid.le_total
0.000015     4856 canonically_linear_ordered_add_monoid.decidable_le
0.000016     4857 canonically_linear_ordered_add_monoid.decidable_eq
0.000014     4858 canonically_linear_ordered_add_monoid.decidable_lt
0.000018     4859 nnreal.linear_ordered_semiring._proof_5
0.000016     4860 nnreal.linear_ordered_semiring
0.000017     4861 ennreal.canonically_ordered_comm_semiring
0.000015     4862 set.nonempty
0.000015     4863 upper_bounds
0.000015     4864 bdd_above
0.000017     4865 lower_bounds
0.000016     4866 bdd_below
0.000018     4867 conditionally_complete_linear_order
0.000018     4868 conditionally_complete_linear_order.le
0.000018     4869 conditionally_complete_linear_order.lt
0.000019     4870 conditionally_complete_linear_order.le_refl
0.000018     4871 conditionally_complete_linear_order.le_trans
0.000018     4872 conditionally_complete_linear_order.lt_iff_le_not_le
0.000016     4873 conditionally_complete_linear_order.le_antisymm
0.000015     4874 conditionally_complete_linear_order.le_total
0.000017     4875 conditionally_complete_linear_order.decidable_le
0.000018     4876 conditionally_complete_linear_order.decidable_eq
0.000018     4877 conditionally_complete_linear_order.decidable_lt
0.000018     4878 conditionally_complete_linear_order.to_linear_order
0.000018     4879 complete_linear_order
0.000018     4880 conditionally_complete_lattice
0.000018     4881 conditionally_complete_lattice.sup
0.000018     4882 complete_lattice
0.000018     4883 complete_lattice.sup
0.000018     4884 complete_lattice.le
0.000018     4885 complete_lattice.lt
0.000018     4886 complete_lattice.le_refl
0.000018     4887 complete_lattice.le_trans
0.000018     4888 complete_lattice.lt_iff_le_not_le
0.000018     4889 complete_lattice.le_antisymm
0.000018     4890 complete_lattice.le_sup_left
0.000018     4891 complete_lattice.le_sup_right
0.000018     4892 complete_lattice.sup_le
0.000018     4893 complete_lattice.inf
0.000018     4894 complete_lattice.inf_le_left
0.000018     4895 complete_lattice.inf_le_right
0.000018     4896 complete_lattice.le_inf
0.000018     4897 complete_lattice.Sup
0.000018     4898 complete_lattice.Inf
0.000018     4899 complete_semilattice_Sup
0.000018     4900 complete_semilattice_Sup.le
0.000018     4901 complete_semilattice_Sup.lt
0.000018     4902 complete_semilattice_Sup.le_refl
0.000018     4903 complete_semilattice_Sup.le_trans
0.000018     4904 complete_semilattice_Sup.lt_iff_le_not_le
0.000018     4905 complete_semilattice_Sup.le_antisymm
0.000018     4906 complete_semilattice_Sup.to_partial_order
0.000018     4907 complete_lattice.le_Sup
0.000018     4908 complete_lattice.Sup_le
0.000018     4909 complete_lattice.to_complete_semilattice_Sup
0.000018     4910 has_Sup
0.000018     4911 has_Sup.Sup
0.000018     4912 complete_semilattice_Sup.Sup
0.000018     4913 complete_semilattice_Sup.to_has_Sup
0.000018     4914 complete_semilattice_Sup.le_Sup
0.000018     4915 le_Sup
0.000018     4916 conditionally_complete_lattice_of_complete_lattice._proof_1
0.000018     4917 complete_semilattice_Sup.Sup_le
0.000018     4918 Sup_le
0.000018     4919 conditionally_complete_lattice_of_complete_lattice._proof_2
0.000018     4920 complete_semilattice_Inf
0.000018     4921 complete_semilattice_Inf.le
0.000018     4922 complete_semilattice_Inf.lt
0.000019     4923 complete_semilattice_Inf.le_refl
0.000017     4924 complete_semilattice_Inf.le_trans
0.000019     4925 complete_semilattice_Inf.lt_iff_le_not_le
0.000017     4926 complete_semilattice_Inf.le_antisymm
0.000018     4927 complete_semilattice_Inf.to_partial_order
0.000018     4928 complete_lattice.Inf_le
0.000018     4929 complete_lattice.le_Inf
0.000018     4930 complete_lattice.to_complete_semilattice_Inf
0.000018     4931 has_Inf
0.000018     4932 has_Inf.Inf
0.000019     4933 complete_semilattice_Inf.Inf
0.000017     4934 complete_semilattice_Inf.to_has_Inf
0.000018     4935 complete_semilattice_Inf.Inf_le
0.000018     4936 Inf_le
0.000018     4937 conditionally_complete_lattice_of_complete_lattice._proof_3
0.000018     4938 complete_semilattice_Inf.le_Inf
0.000019     4939 le_Inf
0.000017     4940 conditionally_complete_lattice_of_complete_lattice._proof_4
0.000019     4941 conditionally_complete_lattice_of_complete_lattice
0.000017     4942 complete_linear_order.sup
0.222946     4943 complete_linear_order.le
0.000071     4944 complete_linear_order.lt
0.000024     4945 complete_linear_order.le_refl
0.000016     4946 complete_linear_order.le_trans
0.000015     4947 complete_linear_order.lt_iff_le_not_le
0.000015     4948 complete_linear_order.le_antisymm
0.000015     4949 complete_linear_order.le_sup_left
0.000015     4950 complete_linear_order.le_sup_right
0.000015     4951 complete_linear_order.sup_le
0.000015     4952 complete_linear_order.inf
0.000020     4953 complete_linear_order.inf_le_left
0.000018     4954 complete_linear_order.inf_le_right
0.000016     4955 complete_linear_order.le_inf
0.000015     4956 complete_linear_order.top
0.000015     4957 complete_linear_order.le_top
0.000015     4958 complete_linear_order.bot
0.000015     4959 complete_linear_order.bot_le
0.000015     4960 complete_linear_order.Sup
0.000017     4961 complete_linear_order.le_Sup
0.000018     4962 complete_linear_order.Sup_le
0.000019     4963 complete_linear_order.Inf
0.000029     4964 complete_linear_order.Inf_le
0.000018     4965 complete_linear_order.le_Inf
0.000015     4966 complete_linear_order.to_complete_lattice
0.000017     4967 conditionally_complete_lattice.le
0.000016     4968 conditionally_complete_lattice.lt
0.000020     4969 conditionally_complete_lattice.le_refl
0.000016     4970 conditionally_complete_linear_order_of_complete_linear_order._proof_1
0.000018     4971 conditionally_complete_lattice.le_trans
0.000019     4972 conditionally_complete_linear_order_of_complete_linear_order._proof_2
0.000018     4973 conditionally_complete_lattice.lt_iff_le_not_le
0.000019     4974 conditionally_complete_linear_order_of_complete_linear_order._proof_3
0.000018     4975 conditionally_complete_lattice.le_antisymm
0.000018     4976 conditionally_complete_linear_order_of_complete_linear_order._proof_4
0.000019     4977 conditionally_complete_lattice.le_sup_left
0.000018     4978 conditionally_complete_linear_order_of_complete_linear_order._proof_5
0.000018     4979 conditionally_complete_lattice.le_sup_right
0.000018     4980 conditionally_complete_linear_order_of_complete_linear_order._proof_6
0.000019     4981 conditionally_complete_lattice.sup_le
0.000018     4982 conditionally_complete_linear_order_of_complete_linear_order._proof_7
0.000018     4983 conditionally_complete_lattice.inf
0.000018     4984 conditionally_complete_lattice.inf_le_left
0.000018     4985 conditionally_complete_linear_order_of_complete_linear_order._proof_8
0.000019     4986 conditionally_complete_lattice.inf_le_right
0.000018     4987 conditionally_complete_linear_order_of_complete_linear_order._proof_9
0.000018     4988 conditionally_complete_lattice.le_inf
0.000018     4989 conditionally_complete_linear_order_of_complete_linear_order._proof_10
0.000019     4990 conditionally_complete_lattice.Sup
0.000018     4991 conditionally_complete_lattice.Inf
0.000018     4992 conditionally_complete_lattice.le_cSup
0.000018     4993 conditionally_complete_linear_order_of_complete_linear_order._proof_11
0.000018     4994 conditionally_complete_lattice.cSup_le
0.000018     4995 conditionally_complete_linear_order_of_complete_linear_order._proof_12
0.000019     4996 conditionally_complete_lattice.cInf_le
0.000018     4997 conditionally_complete_linear_order_of_complete_linear_order._proof_13
0.000018     4998 conditionally_complete_lattice.le_cInf
0.000019     4999 conditionally_complete_linear_order_of_complete_linear_order._proof_14
0.000018     5000 complete_linear_order.le_total
0.000018     5001 complete_linear_order.decidable_le
0.000018     5002 complete_linear_order.decidable_eq
0.000019     5003 complete_linear_order.decidable_lt
0.000016     5004 conditionally_complete_linear_order_of_complete_linear_order
0.000015     5005 set.has_emptyc
0.000017     5006 conditionally_complete_linear_order_bot
0.000018     5007 semilattice_sup_top
0.000019     5008 semilattice_sup_top.sup
0.000018     5009 with_top.semilattice_sup._proof_1
0.000018     5010 with_top.semilattice_sup._proof_2
0.000018     5011 with_top.semilattice_sup._proof_3
0.000018     5012 with_top.semilattice_sup._proof_4
0.000019     5013 with_top.semilattice_sup._proof_5
0.000018     5014 option.bind_eq_some'
0.000018     5015 option.map_none'
0.000018     5016 option.map_some'
0.000018     5017 option.map_eq_some'
0.000019     5018 with_top.semilattice_sup._proof_6
0.000018     5019 with_top.semilattice_sup._proof_7
0.000018     5020 with_top.semilattice_sup._proof_8
0.000018     5021 with_top.semilattice_sup
0.000018     5022 semilattice_sup_top.le
0.000018     5023 semilattice_sup_top.lt
0.000018     5024 semilattice_sup_top.le_refl
0.000018     5025 with_top.lattice._proof_1
0.000016     5026 semilattice_sup_top.le_trans
0.000018     5027 with_top.lattice._proof_2
0.000018     5028 semilattice_sup_top.lt_iff_le_not_le
0.251711     5029 with_top.lattice._proof_3
0.000061     5030 semilattice_sup_top.le_antisymm
0.000024     5031 with_top.lattice._proof_4
0.000016     5032 semilattice_sup_top.le_sup_left
0.000015     5033 with_top.lattice._proof_5
0.000015     5034 semilattice_sup_top.le_sup_right
0.000015     5035 with_top.lattice._proof_6
0.000015     5036 semilattice_sup_top.sup_le
0.000014     5037 with_top.lattice._proof_7
0.000015     5038 semilattice_inf_top
0.000018     5039 semilattice_inf_top.inf
0.000018     5040 with_top.semilattice_inf._proof_1
0.000017     5041 with_top.semilattice_inf._proof_2
0.000024     5042 with_top.semilattice_inf._proof_3
0.000017     5043 with_top.semilattice_inf._proof_4
0.000021     5044 with_top.semilattice_inf._proof_5
0.000028     5045 option.lift_or_get._main
0.000018     5046 option.lift_or_get
0.000015     5047 option.lift_or_get._main.equations._eqn_3
0.000015     5048 option.lift_or_get.equations._eqn_3
0.000018     5049 option.lift_or_get._main.equations._eqn_4
0.000016     5050 option.lift_or_get.equations._eqn_4
0.000015     5051 with_top.semilattice_inf._proof_6
0.000015     5052 option.lift_or_get._main.equations._eqn_2
0.000018     5053 option.lift_or_get.equations._eqn_2
0.000018     5054 with_top.semilattice_inf._proof_7
0.000016     5055 with_top.has_le
0.000015     5056 with_top.some_le_some
0.000018     5057 with_top.semilattice_inf._proof_8
0.000018     5058 with_top.semilattice_inf
0.000020     5059 semilattice_inf_top.le
0.000019     5060 semilattice_inf_top.lt
0.000018     5061 semilattice_inf_top.le_refl
0.000018     5062 semilattice_inf_top.le_trans
0.000018     5063 semilattice_inf_top.lt_iff_le_not_le
0.000018     5064 semilattice_inf_top.le_antisymm
0.000019     5065 semilattice_inf_top.inf_le_left
0.000018     5066 with_top.lattice._proof_8
0.000018     5067 semilattice_inf_top.inf_le_right
0.000018     5068 with_top.lattice._proof_9
0.000018     5069 semilattice_inf_top.le_inf
0.000018     5070 with_top.lattice._proof_10
0.000018     5071 with_top.lattice
0.000018     5072 conditionally_complete_lattice.to_lattice
0.000019     5073 conditionally_complete_linear_order.sup
0.000018     5074 conditionally_complete_linear_order.le_sup_left
0.000018     5075 conditionally_complete_linear_order.le_sup_right
0.000018     5076 conditionally_complete_linear_order.sup_le
0.000018     5077 conditionally_complete_linear_order.inf
0.000018     5078 conditionally_complete_linear_order.inf_le_left
0.000018     5079 conditionally_complete_linear_order.inf_le_right
0.000018     5080 conditionally_complete_linear_order.le_inf
0.000018     5081 conditionally_complete_linear_order.Sup
0.000018     5082 conditionally_complete_linear_order.Inf
0.000018     5083 conditionally_complete_linear_order.le_cSup
0.000018     5084 conditionally_complete_linear_order.cSup_le
0.000018     5085 conditionally_complete_linear_order.cInf_le
0.000018     5086 conditionally_complete_linear_order.le_cInf
0.000018     5087 conditionally_complete_linear_order.to_conditionally_complete_lattice
0.000018     5088 conditionally_complete_linear_order_bot.sup
0.000018     5089 conditionally_complete_linear_order_bot.le
0.000018     5090 conditionally_complete_linear_order_bot.lt
0.000018     5091 conditionally_complete_linear_order_bot.le_refl
0.000018     5092 conditionally_complete_linear_order_bot.le_trans
0.000018     5093 conditionally_complete_linear_order_bot.lt_iff_le_not_le
0.000018     5094 conditionally_complete_linear_order_bot.le_antisymm
0.000018     5095 conditionally_complete_linear_order_bot.le_sup_left
0.000018     5096 conditionally_complete_linear_order_bot.le_sup_right
0.000018     5097 conditionally_complete_linear_order_bot.sup_le
0.000018     5098 conditionally_complete_linear_order_bot.inf
0.000023     5099 conditionally_complete_linear_order_bot.inf_le_left
0.000027     5100 conditionally_complete_linear_order_bot.inf_le_right
0.000019     5101 conditionally_complete_linear_order_bot.le_inf
0.000016     5102 conditionally_complete_linear_order_bot.Sup
0.000015     5103 conditionally_complete_linear_order_bot.Inf
0.000018     5104 conditionally_complete_linear_order_bot.le_cSup
0.000018     5105 conditionally_complete_linear_order_bot.cSup_le
0.000018     5106 conditionally_complete_linear_order_bot.cInf_le
0.000018     5107 conditionally_complete_linear_order_bot.le_cInf
0.000018     5108 conditionally_complete_linear_order_bot.le_total
0.000019     5109 conditionally_complete_linear_order_bot.decidable_le
0.000018     5110 conditionally_complete_linear_order_bot.decidable_eq
0.000018     5111 conditionally_complete_linear_order_bot.decidable_lt
0.000018     5112 conditionally_complete_linear_order_bot.to_conditionally_complete_linear_order
0.000019     5113 with_top.linear_order._proof_1
0.000018     5114 with_top.linear_order._proof_2
0.136856     5115 with_top.linear_order._proof_3
0.000068     5116 with_top.linear_order._proof_4
0.000025     5117 with_top.linear_order._proof_5
0.000015     5118 with_bot
0.000015     5119 with_bot.has_lt
0.000015     5120 with_bot.preorder._proof_1
0.000015     5121 with_bot.preorder._match_1
0.000015     5122 with_bot.preorder._match_2
0.000015     5123 with_bot.preorder._proof_2
0.000025     5124 with_bot.some_lt_some
0.000025     5125 with_bot.preorder._proof_3
0.000017     5126 with_bot.preorder
0.000015     5127 with_bot.has_coe_t
0.000018     5128 with_bot.coe_le_coe
0.000015     5129 with_bot.some_le_some
0.000019     5130 with_bot.decidable_le._main
0.000019     5131 with_bot.decidable_le
0.000019     5132 with_top.decidable_le
0.000018     5133 with_top.linear_order._proof_6
0.000018     5134 with_top.linear_order._proof_7
0.000018     5135 with_top.linear_order._proof_8
0.000016     5136 with_top.linear_order._proof_9
0.000015     5137 with_bot.decidable_lt._main
0.000015     5138 with_bot.decidable_lt
0.000018     5139 with_top.decidable_lt
0.000015     5140 with_top.linear_order
0.000018     5141 with_top.complete_linear_order._proof_1
0.000019     5142 with_top.complete_linear_order._proof_2
0.000017     5143 with_top.complete_linear_order._proof_3
0.000019     5144 with_top.complete_linear_order._proof_4
0.000017     5145 with_top.complete_linear_order._proof_5
0.000019     5146 with_top.complete_linear_order._proof_6
0.000018     5147 with_top.complete_linear_order._proof_7
0.000018     5148 with_top.complete_linear_order._proof_8
0.000019     5149 with_top.complete_linear_order._proof_9
0.000028     5150 with_top.complete_linear_order._proof_10
0.000020     5151 conditionally_complete_linear_order_bot.bot
0.000019     5152 conditionally_complete_linear_order_bot.bot_le
0.000018     5153 conditionally_complete_linear_order_bot.to_order_bot
0.000018     5154 with_top.complete_linear_order._proof_11
0.000018     5155 with_top.complete_linear_order._proof_12
0.000019     5156 set.decidable_mem
0.000018     5157 set.preimage
0.000018     5158 with_top.has_Sup
0.000018     5159 conditionally_complete_lattice.to_has_Sup
0.000019     5160 is_least
0.000018     5161 is_lub
0.000018     5162 decidable.not_iff_comm
0.000018     5163 not_iff_comm
0.000018     5164 set.nonempty.equations._eqn_1
0.000019     5165 eq.subset
0.000018     5166 set.subset.antisymm
0.000018     5167 set.subset.antisymm_iff
0.000018     5168 set.empty_subset
0.000018     5169 set.subset_empty_iff
0.000018     5170 set.eq_empty_iff_forall_not_mem
0.000019     5171 set.not_nonempty_iff_eq_empty
0.000018     5172 set.ne_empty_iff_nonempty
0.000018     5173 set.eq_empty_or_nonempty
0.000018     5174 set.preimage_empty
0.000018     5175 conditionally_complete_linear_order_bot.cSup_empty
0.000019     5176 cSup_empty
0.000018     5177 is_greatest
0.000018     5178 is_glb
0.000018     5179 is_glb.equations._eqn_1
0.000018     5180 upper_bounds.equations._eqn_1
0.000018     5181 set.ball_empty_iff
0.000019     5182 set.subset_univ
0.000018     5183 set.univ_subset_iff
0.000019     5184 imp_iff_right
0.000027     5185 set.eq_univ_iff_forall
0.000020     5186 set.mem_set_of_eq
0.000016     5187 upper_bounds_empty
0.000015     5188 lower_bounds_empty
0.000018     5189 is_greatest.equations._eqn_1
0.000018     5190 set.mem_univ
0.000018     5191 order_top.upper_bounds_univ
0.000018     5192 set.mem_singleton
0.000018     5193 is_greatest_univ
0.000018     5194 is_glb_empty
0.000019     5195 order_dual.has_top
0.000018     5196 order_dual.order_top._proof_1
0.000018     5197 order_dual.order_top._proof_2
0.000018     5198 order_dual.order_top._proof_3
0.000018     5199 order_dual.order_top._proof_4
0.000018     5200 order_dual.order_top
0.000025     5201 is_lub_empty
0.000022     5202 le_cSup
0.000018     5203 with_top.not_top_le_coe
0.000018     5204 cSup_le
0.000018     5205 with_top.is_lub_Sup'
0.000019     5206 with_top.is_lub_Sup
0.000018     5207 with_top.complete_linear_order._proof_13
0.000018     5208 with_top.complete_linear_order._proof_14
0.000018     5209 with_top.has_Inf
0.000025     5210 conditionally_complete_lattice.to_has_Inf
0.000021     5211 cInf_le
0.000018     5212 le_cInf
0.000019     5213 push_neg.not_not_eq
0.000018     5214 with_top.is_glb_Inf'
0.000072     5215 with_top.is_glb_Inf
0.000027     5216 with_top.complete_linear_order._proof_15
0.000019     5217 with_top.complete_linear_order._proof_16
0.000019     5218 with_top.complete_linear_order._proof_17
0.000018     5219 classical.dec_rel
0.000018     5220 with_top.complete_linear_order._proof_18
0.000018     5221 with_top.complete_linear_order._proof_19
0.000027     5222 with_top.complete_linear_order._proof_20
0.000020     5223 with_top.complete_linear_order._proof_21
0.000019     5224 with_top.complete_linear_order
0.000018     5225 nnreal.conditionally_complete_linear_order_bot._proof_1
0.000018     5226 nnreal.conditionally_complete_linear_order_bot._proof_2
0.000018     5227 nnreal.conditionally_complete_linear_order_bot._proof_3
0.811204     5228 nnreal.conditionally_complete_linear_order_bot._proof_4
0.000075     5229 nnreal.conditionally_complete_linear_order_bot._proof_5
0.000025     5230 nnreal.conditionally_complete_linear_order_bot._proof_6
0.000015     5231 int.cast._main
0.000015     5232 int.cast
0.000015     5233 int.cast_coe
0.000015     5234 le_neg
0.000015     5235 _private.3897234211.lbp
0.000014     5236 _private.651630769.wf_lbp._match_1
0.000020     5237 nat.add_right_comm
0.000019     5238 _private.651630769.wf_lbp._match_2
0.000018     5239 _private.651630769.wf_lbp._match_3
0.000019     5240 _private.651630769.wf_lbp
0.000018     5241 nat.find_x._proof_1
0.000015     5242 nat.find_x._proof_2
0.000015     5243 nat.find_x._proof_3
0.000015     5244 nat.find_x._proof_4
0.000018     5245 nat.find_x._proof_5
0.000018     5246 nat.find_x
0.000018     5247 nat.find
0.000015     5248 nat.find_spec
0.000015     5249 nat.find_min
0.000015     5250 nat.find_min'
0.000017     5251 int.exists_least_of_bdd
0.000018     5252 int.exists_greatest_of_bdd
0.000018     5253 real.linear_ordered_ring
0.000026     5254 has_scalar
0.000018     5255 has_scalar.smul
0.000016     5256 add_monoid.has_scalar_nat
0.000015     5257 archimedean
0.000019     5258 coe_trans
0.000020     5259 coe_coe
0.000017     5260 add_monoid_hom.congr_fun
0.000018     5261 nat.cast_zero
0.000018     5262 nat.cast_add_monoid_hom._proof_1
0.000018     5263 nat.cast_add
0.000018     5264 nat.cast_add_monoid_hom
0.000019     5265 add_monoid_hom.cases_on
0.000018     5266 add_monoid_hom.coe_inj
0.000018     5267 add_monoid_hom.ext
0.000018     5268 add_monoid_hom.map_zero'
0.000018     5269 add_monoid_hom.map_zero
0.000018     5270 add_monoid_hom.map_add'
0.000018     5271 add_monoid_hom.map_add
0.000018     5272 add_monoid_hom.ext_nat
0.000018     5273 nat.cast_one
0.000018     5274 add_monoid_hom.eq_nat_cast
0.000018     5275 zero_nsmul
0.000018     5276 semiconj_by
0.000018     5277 commute
0.000017     5278 commute.symm
0.000018     5279 semiconj_by.equations._eqn_1
0.000018     5280 semiconj_by.one_right
0.000018     5281 semiconj_by.eq
0.000018     5282 semiconj_by.mul_right
0.000018     5283 semiconj_by.pow_right
0.000015     5284 commute.pow_right
0.000015     5285 commute.pow_left
0.000018     5286 commute.refl
0.000017     5287 commute.pow_self
0.000018     5288 pow_mul_comm'
0.000018     5289 pow_succ'
0.000018     5290 pow_add
0.000018     5291 add_nsmul
0.000018     5292 nsmul_eq_smul
0.000018     5293 nsmul_one'
0.000018     5294 one_nsmul
0.000018     5295 nsmul_one
0.000018     5296 strict_mono.lt_iff_lt
0.000018     5297 nat.cast_lt
0.000018     5298 archimedean.arch
0.000018     5299 exists_nat_gt
0.000018     5300 exists_int_gt
0.000018     5301 rat.cast_coe
0.000018     5302 nat.cast_succ
0.000018     5303 int.add_neg_one
0.000018     5304 int.neg_succ_sub_one
0.000018     5305 rat.coe_int_eq_mk
0.000018     5306 rat.of_int_eq_mk
0.000018     5307 rat.coe_int_eq_of_int
0.000018     5308 inv_one
0.000018     5309 div_one
0.000017     5310 rat.cast_of_int
0.000019     5311 rat.cast_coe_int
0.000017     5312 rat.cast_coe_nat
0.000018     5313 exists_rat_gt
0.000018     5314 succ_nsmul'
0.000018     5315 nsmul_eq_mul'
0.000018     5316 commute.eq
0.000018     5317 semiconj_by.zero_left
0.000018     5318 commute.zero_left
0.000018     5319 semiconj_by.add_left
0.000018     5320 commute.add_left
0.000019     5321 semiconj_by.one_left
0.000017     5322 commute.one_left
0.000019     5323 nat.cast_commute
0.000017     5324 nsmul_eq_mul
0.000018     5325 archimedean_iff_nat_lt
0.000018     5326 floor_ring
0.000019     5327 int.to_nat._main
0.000018     5328 int.to_nat
0.000018     5329 floor_ring.floor
0.000018     5330 floor
0.000018     5331 ceil
0.000018     5332 nat_ceil
0.000018     5333 rat.floor._main
0.000017     5334 rat.floor
0.000018     5335 rat.floor._main.equations._eqn_1
0.000018     5336 rat.floor.equations._eqn_1
0.000018     5337 rat.le_def
0.000018     5338 le_of_sub_nonneg
0.000018     5339 int.div_mul_le
0.000018     5340 int.mul_le_of_le_div
0.000018     5341 int.neg_add_cancel_left
0.000018     5342 int.le_of_add_le_add_left
0.000018     5343 int.le_of_add_le_add_right
0.000018     5344 int.le_of_lt_add_one
0.000018     5345 lt_of_mul_lt_mul_right
0.000018     5346 neg_add_lt_iff_lt_add
0.000018     5347 sub_lt_iff_lt_add'
0.000018     5348 int.lt_div_add_one_mul_self
0.000018     5349 int.le_div_of_mul_le
0.000018     5350 int.le_div_iff_mul_le
0.000018     5351 rat.le_floor
0.000018     5352 rat.floor_ring
0.000018     5353 eq_div_iff_mul_eq
0.000017     5354 rat.denom_dvd
0.000018     5355 nat.cast_mul
0.000018     5356 int.cast_neg_of_nat
0.000018     5357 nat.cast_add_one
0.000018     5358 int.cast_mul
0.000018     5359 nat.commute_cast
0.000018     5360 int.cast_coe_nat
0.000017     5361 int.cast_zero
0.000018     5362 rat.cast_mk_of_ne_zero
0.000018     5363 nat.cast_sub
0.000018     5364 sub_left_inj
0.000018     5365 int.cast_neg_succ_of_nat
0.000018     5366 int.cast_sub_nat_nat
0.000018     5367 sub_eq_of_eq_add
0.000019     5368 nat.add_semigroup
0.000018     5369 int.cast_add
0.000018     5370 add_right_injective
0.000018     5371 add_right_inj
0.000018     5372 rat.cast_add_of_ne_zero
0.000017     5373 int.cast_neg
0.000018     5374 rat.cast_neg
0.000018     5375 rat.cast_sub_of_ne_zero
0.000018     5376 nat.cast_inj
0.000018     5377 nat.cast_eq_zero
0.000018     5378 nat.cast_ne_zero
0.000018     5379 rat.cast_sub
5.758609     5380 rat.mk_eq_div
0.000077     5381 ring_hom.map_mul'
0.000025     5382 ring_hom.to_monoid_with_zero_hom
0.000016     5383 ring_hom.map_div
0.000014     5384 int.cast_one
0.000015     5385 rat.cast_one
0.000015     5386 semiconj_by.zero_right
0.000015     5387 units.inv_mul_cancel_left
0.000015     5388 units.mul_inv_cancel_right
0.000014     5389 semiconj_by.units_inv_right
0.000018     5390 semiconj_by.inv_right'
0.000016     5391 semiconj_by.inv_right_iff'
0.000015     5392 commute.inv_right_iff'
0.000019     5393 commute.inv_right'
0.000016     5394 rat.cast_mul_of_ne_zero
0.000018     5395 rat.cast_mul
0.000018     5396 rat.cast_zero
0.000016     5397 rat.cast_add
0.000015     5398 rat.cast_hom
0.000014     5399 rat.cast_div
0.000019     5400 rat.cast_mk
0.000016     5401 int.cast_sub
0.000015     5402 nat.cast_nonneg
0.000017     5403 int.cast_nonneg
0.000018     5404 int.cast_le
0.000016     5405 rat.cast_nonneg
0.000019     5406 rat.ordered_add_comm_group
0.000016     5407 rat.cast_le
0.000017     5408 nat_ceil.equations._eqn_1
0.000020     5409 int.to_nat_eq_max
0.000018     5410 int.to_nat_le
0.000018     5411 ceil.equations._eqn_1
0.000018     5412 floor_ring.le_floor
0.000018     5413 le_floor
0.000018     5414 ceil_le
0.000018     5415 nat_ceil_le
0.000018     5416 le_nat_ceil
0.000018     5417 archimedean_iff_rat_lt
0.000018     5418 rat.cast_lt
0.000018     5419 archimedean_iff_rat_le
0.000018     5420 real.division_ring
0.000019     5421 real.mk_neg
0.000017     5422 ring_hom.map_add'
0.000019     5423 ring_hom.to_add_monoid_hom
0.000017     5424 ring_hom.eq_nat_cast
0.000019     5425 ring_hom.comp._proof_1
0.000018     5426 ring_hom.map_mul
0.000018     5427 ring_hom.comp._proof_2
0.000018     5428 ring_hom.comp._proof_3
0.000018     5429 ring_hom.map_add
0.000018     5430 ring_hom.comp._proof_4
0.000018     5431 ring_hom.comp
0.000018     5432 nat.cast_ring_hom._proof_1
0.000018     5433 nat.cast_ring_hom._proof_2
0.000018     5434 nat.cast_ring_hom._proof_3
0.000018     5435 nat.cast_ring_hom
0.000018     5436 ring_hom.map_nat_cast
0.000018     5437 int.cast_add_hom._proof_1
0.000018     5438 int.cast_add_hom
0.000018     5439 add_monoid_hom.ext_iff
0.000019     5440 add_monoid_hom.comp._proof_1
0.000018     5441 has_zero.nonempty
0.000018     5442 add_monoid_hom.comp._proof_2
0.000018     5443 add_monoid_hom.comp
0.000018     5444 ring_hom.has_coe_add_monoid_hom
0.000018     5445 int.of_nat_hom._proof_1
0.000018     5446 int.of_nat_mul
0.000018     5447 int.of_nat_hom._proof_2
0.000019     5448 int.of_nat_add
0.000017     5449 int.of_nat_hom
0.000019     5450 add_monoid_hom.map_add_eq_zero
0.000018     5451 add_neg_self
0.000018     5452 add_monoid_hom.eq_on_neg
0.000018     5453 add_monoid_hom.ext_int
0.000018     5454 int.coe_cast_add_hom
0.000018     5455 add_monoid_hom.eq_int_cast_hom
0.000018     5456 add_monoid_hom.eq_int_cast
0.000018     5457 ring_hom.eq_int_cast
0.000018     5458 int.cast_ring_hom._proof_1
0.000018     5459 int.cast_ring_hom._proof_2
0.000019     5460 int.cast_ring_hom._proof_3
0.000018     5461 int.cast_ring_hom
0.000018     5462 ring_hom.map_int_cast
0.000018     5463 ring_hom.eq_rat_cast
0.000018     5464 real.of_rat_eq_cast
0.000018     5465 rat.ordered_cancel_add_comm_monoid
0.000018     5466 rat.ordered_add_comm_monoid
0.000019     5467 real.le_mk_of_forall_le
0.000018     5468 real.mk_le_of_forall_le
0.000018     5469 real.archimedean._match_1
0.000018     5470 real.archimedean
0.000018     5471 exists_int_lt
0.000018     5472 exists_floor
0.000018     5473 archimedean.floor_ring._proof_1
0.000018     5474 archimedean.floor_ring
0.000018     5475 real.floor_ring
0.000018     5476 floor_le
0.000018     5477 real.linear_ordered_semiring
0.000019     5478 nat.cast_pos
0.000018     5479 strict_mono.le_iff_le
0.000018     5480 nat.cast_le
0.000018     5481 ring_hom.map_inv
0.000018     5482 rat.cast_inv
0.000018     5483 sub_lt_iff_lt_add
0.000018     5484 int.succ
0.000018     5485 int.succ.equations._eqn_1
0.000018     5486 floor_lt
0.000018     5487 int.lt_succ_self
0.000018     5488 lt_succ_floor
0.000018     5489 lt_floor_add_one
0.000018     5490 sub_one_lt_floor
0.000018     5491 one_div
0.000018     5492 div_eq_inv_mul
0.000018     5493 inv_le_inv
0.000018     5494 inv_le
0.000018     5495 densely_ordered
0.000018     5496 densely_ordered.dense
0.000018     5497 exists_between
0.000018     5498 le_of_forall_ge_of_dense
0.000018     5499 mul_two
0.000019     5500 add_self_div_two
0.000018     5501 div_lt_div_of_lt
0.000018     5502 linear_ordered_field.to_densely_ordered
0.000018     5503 le_sub
0.000018     5504 real.exists_sup
0.000018     5505 real.has_Sup._proof_1
0.000018     5506 real.has_Sup
0.000018     5507 set.image
0.000018     5508 set.mem_image
0.000018     5509 set.mem_empty_eq
0.000018     5510 set.image_empty
0.000016     5511 exists_const
0.000017     5512 real.Sup_empty
0.000018     5513 le_cSup_of_le
0.000018     5514 real.lattice
0.000018     5515 real.has_Inf
0.000018     5516 real.Sup_def
0.000018     5517 real.Sup_le
0.000018     5518 real.le_Sup
0.000018     5519 real.conditionally_complete_linear_order._proof_1
0.000018     5520 real.Sup_le_ub
0.000018     5521 real.conditionally_complete_linear_order._proof_2
0.000018     5522 real.le_Inf
0.000018     5523 real.Inf_le
0.337577     5524 real.conditionally_complete_linear_order._proof_3
0.000074     5525 real.lb_le_Inf
0.000024     5526 real.conditionally_complete_linear_order._proof_4
0.000016     5527 real.conditionally_complete_linear_order
0.000015     5528 nnreal.of_real._proof_1
0.000015     5529 nnreal.of_real
0.000015     5530 le_max_left_of_le
0.000015     5531 set.mem_image_of_mem
0.000015     5532 nnreal.bdd_above_coe
0.000015     5533 real.Sup_of_not_bdd_above
0.000018     5534 nnreal.has_Sup._proof_1
0.000019     5535 nnreal.has_Sup
0.000018     5536 real.Inf_def
0.000018     5537 set.set_of_false
0.000016     5538 real.Inf_empty
0.000015     5539 set.nonempty.image
0.000014     5540 nnreal.has_Inf._match_1
0.000018     5541 nnreal.has_Inf._proof_1
0.000017     5542 nnreal.has_Inf
0.000019     5543 nnreal.conditionally_complete_linear_order_bot._proof_7
0.000015     5544 set.nonempty.of_image
0.000015     5545 set.nonempty_image_iff
0.000015     5546 nnreal.conditionally_complete_linear_order_bot._match_1
0.000015     5547 nnreal.conditionally_complete_linear_order_bot._proof_8
0.000017     5548 nnreal.bdd_below_coe
0.000018     5549 nnreal.conditionally_complete_linear_order_bot._proof_9
0.000018     5550 nnreal.conditionally_complete_linear_order_bot._match_2
0.000018     5551 nnreal.conditionally_complete_linear_order_bot._proof_10
0.000018     5552 nnreal.coe_Sup
0.000018     5553 bot_eq_zero
0.000018     5554 nnreal.coe_zero
0.000018     5555 nnreal.conditionally_complete_linear_order_bot._proof_11
0.000018     5556 nnreal.conditionally_complete_linear_order_bot
0.000018     5557 ennreal.complete_linear_order
0.000018     5558 set.inter
0.000018     5559 set.has_inter
0.000018     5560 set.sUnion
0.000018     5561 topological_space
0.000018     5562 filter
0.000018     5563 prod
0.000019     5564 filter.sets
0.000017     5565 filter.has_mem
0.000018     5566 set.subset.refl
0.000018     5567 filter.partial_order._proof_1
0.000018     5568 set.subset.trans
0.000018     5569 filter.partial_order._proof_2
0.000018     5570 filter.partial_order._proof_3
0.000018     5571 filter.cases_on
0.000018     5572 filter.filter_eq
0.000018     5573 filter.partial_order._proof_4
0.000018     5574 filter.partial_order
0.000018     5575 filter.principal._proof_1
0.000018     5576 set.subset_inter
0.000018     5577 filter.principal._proof_2
0.000018     5578 filter.principal
0.000018     5579 prod.fst
0.000018     5580 prod.snd
0.000018     5581 id_rel
0.000019     5582 filter.univ_sets
0.000018     5583 filter.univ_mem_sets
0.000018     5584 filter.sets_of_superset
0.000018     5585 filter.mem_sets_of_superset
0.000018     5586 set.preimage_mono
0.000018     5587 filter.map._proof_1
0.000018     5588 filter.inter_sets
0.000018     5589 filter.inter_mem_sets
0.000018     5590 filter.map._proof_2
0.000018     5591 filter.map
0.000018     5592 filter.tendsto
0.000018     5593 prod.swap
0.000018     5594 set.range
0.000018     5595 infi
0.000018     5596 complete_lattice.top
0.000018     5597 complete_lattice.bot
0.000018     5598 bounded_lattice
0.000018     5599 bounded_lattice.lt
0.000018     5600 bounded_lattice.le
0.000018     5601 bounded_lattice.top
0.000018     5602 bounded_lattice.bot
0.000018     5603 bounded_lattice.sup
0.000018     5604 bounded_lattice.inf
0.000019     5605 semilattice_sup.lt._default
0.000018     5606 lattice.lt._default
0.000018     5607 bounded_lattice.cases_on
0.000018     5608 bounded_lattice.copy._aux_1
0.000018     5609 bounded_lattice.copy._aux_2
0.000018     5610 bounded_lattice.copy._proof_1
0.000019     5611 bounded_lattice.copy._aux_3
0.000016     5612 bounded_lattice.copy._aux_4
0.000015     5613 bounded_lattice.copy._aux_5
0.000017     5614 bounded_lattice.copy._aux_6
0.000019     5615 bounded_lattice.copy._aux_7
0.000018     5616 bounded_lattice.copy._aux_8
0.000018     5617 bounded_lattice.copy._aux_9
0.000018     5618 bounded_lattice.copy._aux_10
0.000018     5619 bounded_lattice.copy._aux_11
0.000018     5620 bounded_lattice.copy
0.000018     5621 complete_lattice.le_top
0.000019     5622 complete_lattice.bot_le
0.000018     5623 complete_lattice.to_bounded_lattice
0.000018     5624 bounded_lattice.le_refl
0.000018     5625 complete_lattice.copy._proof_1
0.000018     5626 bounded_lattice.le_trans
0.000018     5627 complete_lattice.copy._proof_2
0.000018     5628 bounded_lattice.lt_iff_le_not_le
0.000018     5629 complete_lattice.copy._proof_3
0.000018     5630 bounded_lattice.le_antisymm
0.000018     5631 complete_lattice.copy._proof_4
0.000019     5632 bounded_lattice.le_sup_left
0.000017     5633 complete_lattice.copy._proof_5
0.000019     5634 bounded_lattice.le_sup_right
0.000018     5635 complete_lattice.copy._proof_6
0.000018     5636 bounded_lattice.sup_le
0.000018     5637 complete_lattice.copy._proof_7
0.000018     5638 bounded_lattice.inf_le_left
0.000018     5639 complete_lattice.copy._proof_8
0.000018     5640 bounded_lattice.inf_le_right
0.000018     5641 complete_lattice.copy._proof_9
0.000018     5642 bounded_lattice.le_inf
0.000019     5643 complete_lattice.copy._proof_10
0.000018     5644 bounded_lattice.le_top
0.000018     5645 complete_lattice.copy._proof_11
0.214854     5646 bounded_lattice.bot_le
0.000071     5647 complete_lattice.copy._proof_12
0.000024     5648 complete_lattice.cases_on
0.000016     5649 complete_lattice.copy._aux_1
0.000015     5650 complete_lattice.copy._aux_2
0.000015     5651 complete_lattice.copy._aux_3
0.000016     5652 complete_lattice.copy._aux_4
0.000015     5653 complete_lattice.copy
0.000015     5654 order_dual.lattice._proof_1
0.000015     5655 order_dual.lattice._proof_2
0.000015     5656 order_dual.lattice._proof_3
0.000020     5657 order_dual.lattice._proof_4
0.000018     5658 order_dual.lattice._proof_5
0.000016     5659 order_dual.lattice._proof_6
0.000016     5660 order_dual.lattice._proof_7
0.000015     5661 order_dual.has_inf
0.000017     5662 order_dual.semilattice_inf._proof_1
0.000019     5663 order_dual.semilattice_inf._proof_2
0.000018     5664 order_dual.semilattice_inf._proof_3
0.000016     5665 order_dual.semilattice_inf._proof_4
0.000015     5666 order_dual.semilattice_inf._proof_5
0.000015     5667 order_dual.semilattice_inf
0.000018     5668 order_dual.lattice._proof_8
0.000016     5669 order_dual.lattice._proof_9
0.000018     5670 order_dual.lattice._proof_10
0.000019     5671 order_dual.lattice
0.000018     5672 bounded_lattice.to_lattice
0.000018     5673 order_dual.bounded_lattice._proof_1
0.000018     5674 order_dual.bounded_lattice._proof_2
0.000018     5675 order_dual.bounded_lattice._proof_3
0.000018     5676 order_dual.bounded_lattice._proof_4
0.000018     5677 order_dual.bounded_lattice._proof_5
0.000018     5678 order_dual.bounded_lattice._proof_6
0.000018     5679 order_dual.bounded_lattice._proof_7
0.000018     5680 order_dual.bounded_lattice._proof_8
0.000018     5681 order_dual.bounded_lattice._proof_9
0.000018     5682 order_dual.bounded_lattice._proof_10
0.000018     5683 bounded_lattice.to_order_bot
0.000018     5684 order_dual.bounded_lattice._proof_11
0.000018     5685 order_dual.has_bot
0.000018     5686 order_dual.order_bot._proof_1
0.000018     5687 order_dual.order_bot._proof_2
0.000018     5688 order_dual.order_bot._proof_3
0.000018     5689 order_dual.order_bot._proof_4
0.000018     5690 order_dual.order_bot
0.000018     5691 bounded_lattice.to_order_top
0.000018     5692 order_dual.bounded_lattice._proof_12
0.000018     5693 order_dual.bounded_lattice
0.000018     5694 order_dual.complete_lattice._proof_1
0.000018     5695 order_dual.complete_lattice._proof_2
0.000019     5696 order_dual.complete_lattice._proof_3
0.000017     5697 order_dual.complete_lattice._proof_4
0.000016     5698 order_dual.complete_lattice._proof_5
0.000015     5699 order_dual.complete_lattice._proof_6
0.000018     5700 order_dual.complete_lattice._proof_7
0.000018     5701 order_dual.complete_lattice._proof_8
0.000018     5702 order_dual.complete_lattice._proof_9
0.000018     5703 order_dual.complete_lattice._proof_10
0.000018     5704 order_dual.complete_lattice._proof_11
0.000018     5705 order_dual.complete_lattice._proof_12
0.000018     5706 order_dual.has_Sup
0.000018     5707 order_dual.has_Inf
0.000018     5708 order_dual.complete_lattice
0.000018     5709 galois_connection
0.000018     5710 galois_insertion
0.000018     5711 galois_insertion.le_l_u
0.000018     5712 monotone
0.000018     5713 galois_connection.l_le
0.000018     5714 galois_connection.le_u
0.000018     5715 galois_connection.le_u_l
0.000018     5716 galois_connection.monotone_l
0.000018     5717 galois_insertion.gc
0.000018     5718 galois_insertion.lift_semilattice_sup._proof_1
0.000018     5719 galois_insertion.lift_semilattice_sup._proof_2
0.000018     5720 galois_connection.l_u_le
0.000018     5721 galois_connection.monotone_u
0.000019     5722 galois_insertion.lift_semilattice_sup._proof_3
0.000017     5723 galois_insertion.lift_semilattice_sup
0.000018     5724 galois_insertion.lift_lattice._proof_1
0.000018     5725 galois_insertion.lift_lattice._proof_2
0.000019     5726 galois_insertion.lift_lattice._proof_3
0.000018     5727 galois_insertion.lift_lattice._proof_4
0.000018     5728 galois_insertion.lift_lattice._proof_5
0.000018     5729 galois_insertion.lift_lattice._proof_6
0.000018     5730 galois_insertion.lift_lattice._proof_7
0.000018     5731 galois_insertion.choice
0.000018     5732 galois_insertion.lift_semilattice_inf._proof_1
0.000018     5733 galois_insertion.choice_eq
0.000018     5734 galois_insertion.lift_semilattice_inf._proof_2
0.000018     5735 galois_insertion.lift_semilattice_inf._proof_3
0.000018     5736 galois_insertion.lift_semilattice_inf._proof_4
0.000018     5737 galois_insertion.lift_semilattice_inf
0.000018     5738 galois_insertion.lift_lattice._proof_8
0.000018     5739 galois_insertion.lift_lattice._proof_9
0.000019     5740 galois_insertion.lift_lattice._proof_10
0.000018     5741 galois_insertion.lift_lattice
0.000018     5742 galois_insertion.lift_bounded_lattice._proof_1
0.000018     5743 galois_insertion.lift_bounded_lattice._proof_2
0.000018     5744 galois_insertion.lift_bounded_lattice._proof_3
0.346954     5745 galois_insertion.lift_bounded_lattice._proof_4
0.000072     5746 galois_insertion.lift_bounded_lattice._proof_5
0.000024     5747 galois_insertion.lift_bounded_lattice._proof_6
0.000016     5748 galois_insertion.lift_bounded_lattice._proof_7
0.000015     5749 galois_insertion.lift_bounded_lattice._proof_8
0.000015     5750 galois_insertion.lift_bounded_lattice._proof_9
0.000015     5751 galois_insertion.lift_bounded_lattice._proof_10
0.000015     5752 galois_insertion.lift_order_top._proof_1
0.000015     5753 galois_insertion.lift_order_top._proof_2
0.000015     5754 galois_insertion.lift_order_top
0.000015     5755 galois_insertion.lift_bounded_lattice._proof_11
0.000017     5756 galois_connection.lift_order_bot._proof_1
0.000019     5757 galois_connection.lift_order_bot
0.000016     5758 galois_insertion.lift_bounded_lattice._proof_12
0.000015     5759 galois_insertion.lift_bounded_lattice._proof_13
0.000017     5760 galois_insertion.lift_bounded_lattice
0.000019     5761 galois_insertion.lift_complete_lattice._proof_1
0.000018     5762 galois_insertion.lift_complete_lattice._proof_2
0.000016     5763 galois_insertion.lift_complete_lattice._proof_3
0.000015     5764 galois_insertion.lift_complete_lattice._proof_4
0.000015     5765 galois_insertion.lift_complete_lattice._proof_5
0.000018     5766 galois_insertion.lift_complete_lattice._proof_6
0.000016     5767 galois_insertion.lift_complete_lattice._proof_7
0.000018     5768 galois_insertion.lift_complete_lattice._proof_8
0.000018     5769 galois_insertion.lift_complete_lattice._proof_9
0.000018     5770 galois_insertion.lift_complete_lattice._proof_10
0.000016     5771 galois_insertion.lift_complete_lattice._proof_11
0.000015     5772 galois_insertion.lift_complete_lattice._proof_12
0.000015     5773 supr
0.000018     5774 le_supr
0.000018     5775 le_supr_of_le
0.000018     5776 galois_insertion.lift_complete_lattice._proof_13
0.000016     5777 supr_le
0.000015     5778 galois_insertion.lift_complete_lattice._proof_14
0.000018     5779 le_infi
0.000015     5780 infi_le
0.000019     5781 infi_le_of_le
0.000016     5782 galois_insertion.lift_complete_lattice._proof_15
0.000017     5783 galois_insertion.lift_complete_lattice._proof_16
0.000019     5784 galois_insertion.lift_complete_lattice._proof_17
0.000018     5785 galois_insertion.lift_complete_lattice
0.000018     5786 filter.generate_sets
0.000018     5787 filter.generate._proof_1
0.000018     5788 filter.generate._proof_2
0.000018     5789 filter.generate
0.000018     5790 bounded_distrib_lattice
0.000018     5791 bounded_distrib_lattice.sup
0.000018     5792 bounded_distrib_lattice.le
0.000018     5793 bounded_distrib_lattice.lt
0.000018     5794 bounded_distrib_lattice.le_refl
0.000018     5795 bounded_distrib_lattice.le_trans
0.000018     5796 bounded_distrib_lattice.lt_iff_le_not_le
0.000018     5797 bounded_distrib_lattice.le_antisymm
0.000018     5798 bounded_distrib_lattice.le_sup_left
0.000018     5799 bounded_distrib_lattice.le_sup_right
0.000018     5800 bounded_distrib_lattice.sup_le
0.000018     5801 bounded_distrib_lattice.inf
0.000018     5802 bounded_distrib_lattice.inf_le_left
0.000018     5803 bounded_distrib_lattice.inf_le_right
0.000018     5804 bounded_distrib_lattice.le_inf
0.000018     5805 bounded_distrib_lattice.top
0.000018     5806 bounded_distrib_lattice.le_top
0.000018     5807 bounded_distrib_lattice.bot
0.000018     5808 bounded_distrib_lattice.bot_le
0.000018     5809 bounded_distrib_lattice.to_bounded_lattice
0.000019     5810 semilattice_inf_bot_of_bounded_lattice._proof_1
0.000032     5811 semilattice_inf_bot_of_bounded_lattice
0.000019     5812 has_compl
0.000018     5813 has_compl.compl
0.000018     5814 semilattice_sup_bot_of_bounded_lattice._proof_1
0.000018     5815 semilattice_sup_bot_of_bounded_lattice
0.000019     5816 boolean_algebra.core
0.000019     5817 boolean_algebra.core.compl
0.000019     5818 boolean_algebra.core.to_has_compl
0.000018     5819 boolean_algebra
0.000017     5820 boolean_algebra.sup
0.000018     5821 set.has_le
0.000018     5822 set.has_lt
0.000018     5823 boolean_algebra.le
0.000018     5824 boolean_algebra.bot
0.000018     5825 pi.preorder._proof_1
0.000017     5826 pi.preorder._proof_2
0.000019     5827 pi.preorder._proof_3
0.000018     5828 pi.preorder
0.000018     5829 pi.partial_order._proof_1
0.000017     5830 pi.partial_order._proof_2
0.000019     5831 pi.partial_order._proof_3
0.000017     5832 pi.partial_order._proof_4
0.000019     5833 pi.partial_order
0.000017     5834 boolean_algebra.lt
0.000019     5835 boolean_algebra.le_refl
0.000017     5836 pi.boolean_algebra._proof_1
0.000018     5837 boolean_algebra.le_trans
0.000018     5838 pi.boolean_algebra._proof_2
0.000018     5839 boolean_algebra.lt_iff_le_not_le
0.000018     5840 pi.boolean_algebra._proof_3
0.000018     5841 boolean_algebra.le_antisymm
0.000018     5842 pi.boolean_algebra._proof_4
0.000018     5843 pi.boolean_algebra._proof_5
1.910947     5844 pi.boolean_algebra._proof_6
0.000076     5845 pi.boolean_algebra._proof_7
0.000025     5846 pi.boolean_algebra._proof_8
0.000015     5847 boolean_algebra.bot_le
0.000015     5848 pi.boolean_algebra._proof_9
0.000015     5849 boolean_algebra.le_sup_left
0.000014     5850 pi.boolean_algebra._proof_10
0.000015     5851 boolean_algebra.le_sup_right
0.000015     5852 pi.boolean_algebra._proof_11
0.000015     5853 boolean_algebra.sup_le
0.000015     5854 pi.boolean_algebra._proof_12
0.000018     5855 boolean_algebra.inf
0.000018     5856 boolean_algebra.inf_le_left
0.000016     5857 pi.boolean_algebra._proof_13
0.000016     5858 boolean_algebra.inf_le_right
0.000015     5859 pi.boolean_algebra._proof_14
0.000015     5860 boolean_algebra.le_inf
0.000015     5861 pi.boolean_algebra._proof_15
0.000017     5862 boolean_algebra.le_sup_inf
0.000019     5863 pi.boolean_algebra._proof_16
0.000018     5864 boolean_algebra.sdiff
0.000016     5865 boolean_algebra.sup_inf_sdiff
0.000015     5866 pi.boolean_algebra._proof_17
0.000037     5867 boolean_algebra.inf_inf_sdiff
0.000030     5868 pi.boolean_algebra._proof_18
0.000019     5869 boolean_algebra.top
0.000019     5870 boolean_algebra.le_top
0.000018     5871 pi.boolean_algebra._proof_19
0.000016     5872 boolean_algebra.compl
0.000015     5873 boolean_algebra.inf_compl_le_bot
0.000014     5874 pi.boolean_algebra._proof_20
0.000017     5875 boolean_algebra.top_le_sup_compl
0.000016     5876 pi.boolean_algebra._proof_21
0.000018     5877 boolean_algebra.sdiff_eq
0.000017     5878 pi.boolean_algebra._proof_22
0.000019     5879 pi.boolean_algebra
0.000018     5880 boolean_algebra.core.bot
0.000018     5881 boolean_algebra.core.le
0.000018     5882 boolean_algebra.core.lt
0.000018     5883 boolean_algebra.core.le_refl
0.000018     5884 boolean_algebra.core.le_trans
0.000018     5885 boolean_algebra.core.lt_iff_le_not_le
0.000018     5886 boolean_algebra.core.le_antisymm
0.000018     5887 boolean_algebra.core.bot_le
0.000018     5888 boolean_algebra.core.sup
0.000018     5889 boolean_algebra.core.le_sup_left
0.000018     5890 boolean_algebra.core.le_sup_right
0.000018     5891 boolean_algebra.core.sup_le
0.000018     5892 boolean_algebra.core.inf
0.000018     5893 boolean_algebra.core.inf_le_left
0.000018     5894 boolean_algebra.core.inf_le_right
0.000018     5895 boolean_algebra.core.le_inf
0.000018     5896 boolean_algebra.core.le_sup_inf
0.000018     5897 boolean_algebra.core.top
0.000018     5898 boolean_algebra.core.le_top
0.000018     5899 boolean_algebra.core.to_bounded_distrib_lattice
0.000018     5900 distrib_lattice.to_lattice
0.000018     5901 bounded_distrib_lattice.le_sup_inf
0.000018     5902 bounded_distrib_lattice.to_distrib_lattice
0.000018     5903 inf_eq_left
0.000018     5904 inf_sup_self
0.000018     5905 inf_assoc
0.000018     5906 sup_inf_le
0.000018     5907 le_sup_inf
0.000018     5908 sup_inf_left
0.000018     5909 sup_inf_right
0.000018     5910 sup_inf_self
0.000018     5911 inf_sup_left
0.000018     5912 boolean_algebra.core.top_le_sup_compl
0.000018     5913 sup_compl_eq_top
0.000018     5914 semilattice_inf_top.to_semilattice_inf
0.000018     5915 semilattice_inf_top_of_bounded_lattice._proof_1
0.000018     5916 semilattice_inf_top_of_bounded_lattice
0.000018     5917 semilattice_inf_top.top
0.000018     5918 semilattice_inf_top.le_top
0.000018     5919 semilattice_inf_top.to_order_top
0.000018     5920 inf_of_le_left
0.000018     5921 inf_top_eq
0.000018     5922 boolean_algebra.of_core._proof_1
0.000018     5923 inf_comm
0.000018     5924 inf_left_right_swap
0.000018     5925 boolean_algebra.core.inf_compl_le_bot
0.000018     5926 inf_compl_eq_bot
0.000017     5927 compl_inf_eq_bot
0.000018     5928 inf_of_le_right
0.000018     5929 inf_bot_eq
0.000018     5930 bot_inf_eq
0.000018     5931 boolean_algebra.of_core._proof_2
0.000017     5932 boolean_algebra.of_core._proof_3
0.000018     5933 boolean_algebra.of_core
0.000018     5934 distrib_lattice.lt._default
0.000018     5935 bounded_distrib_lattice_Prop._proof_1
0.000018     5936 bounded_distrib_lattice_Prop._proof_2
0.000018     5937 bounded_distrib_lattice_Prop._proof_3
0.000018     5938 bounded_distrib_lattice_Prop._proof_4
0.000018     5939 bounded_distrib_lattice_Prop._proof_5
0.000018     5940 bounded_distrib_lattice_Prop._proof_6
0.000018     5941 bounded_distrib_lattice_Prop._proof_7
0.000018     5942 bounded_distrib_lattice_Prop._proof_8
0.000017     5943 bounded_distrib_lattice_Prop
0.000019     5944 boolean_algebra_Prop._proof_1
0.000017     5945 boolean_algebra_Prop._proof_2
0.000018     5946 boolean_algebra_Prop._proof_3
0.000018     5947 boolean_algebra_Prop._proof_4
0.000018     5948 boolean_algebra_Prop._proof_5
0.000018     5949 boolean_algebra_Prop._proof_6
0.000018     5950 boolean_algebra_Prop._proof_7
0.000016     5951 boolean_algebra_Prop._proof_8
0.000017     5952 boolean_algebra_Prop._proof_9
0.000018     5953 boolean_algebra_Prop._proof_10
0.000018     5954 boolean_algebra_Prop._proof_11
0.000017     5955 boolean_algebra_Prop._proof_12
0.453853     5956 boolean_algebra_Prop._proof_13
0.000074     5957 boolean_algebra_Prop._match_1
0.000024     5958 boolean_algebra_Prop._proof_14
0.000016     5959 boolean_algebra_Prop._proof_15
0.000015     5960 boolean_algebra_Prop
0.000015     5961 set.boolean_algebra._proof_1
0.000014     5962 set.boolean_algebra._proof_2
0.000015     5963 set.boolean_algebra._proof_3
0.000015     5964 set.boolean_algebra._proof_4
0.000015     5965 set.boolean_algebra._proof_5
0.000018     5966 set.union
0.000018     5967 set.has_union
0.000016     5968 set.boolean_algebra._proof_6
0.000015     5969 set.boolean_algebra._proof_7
0.000017     5970 set.boolean_algebra._proof_8
0.000019     5971 set.boolean_algebra._proof_9
0.000018     5972 set.boolean_algebra._proof_10
0.000016     5973 set.boolean_algebra._proof_11
0.000015     5974 set.boolean_algebra._proof_12
0.000017     5975 has_sep
0.000019     5976 has_sep.sep
0.000018     5977 set.sep
0.000019     5978 set.has_sep
0.000015     5979 set.diff
0.000015     5980 set.has_sdiff
0.000015     5981 set.boolean_algebra._proof_13
0.000017     5982 set.boolean_algebra._proof_14
0.000018     5983 set.boolean_algebra._proof_15
0.000027     5984 set.compl
0.000017     5985 set.boolean_algebra._proof_16
0.000079     5986 set.boolean_algebra._proof_17
0.000021     5987 set.boolean_algebra._proof_18
0.000019     5988 set.boolean_algebra
0.000018     5989 set.lattice_set._proof_1
0.000018     5990 set.lattice_set._proof_2
0.000028     5991 set.lattice_set._proof_3
0.000020     5992 set.lattice_set._proof_4
0.000018     5993 set.lattice_set._proof_5
0.000026     5994 set.lattice_set._proof_6
0.000019     5995 set.lattice_set._proof_7
0.000017     5996 set.lattice_set._proof_8
0.000019     5997 set.lattice_set._proof_9
0.000018     5998 set.lattice_set._proof_10
0.000018     5999 set.lattice_set._proof_11
0.000018     6000 set.lattice_set._proof_12
0.000018     6001 set.lattice_set._proof_13
0.000019     6002 set.lattice_set._match_1
0.000028     6003 set.lattice_set._proof_14
0.000017     6004 set.lattice_set._proof_15
0.000017     6005 set.lattice_set._proof_16
0.000018     6006 set.lattice_set
0.000019     6007 filter.mk_of_closure._proof_1
0.000018     6008 filter.mk_of_closure._proof_2
0.000018     6009 filter.mk_of_closure._proof_3
0.000017     6010 filter.mk_of_closure
0.000018     6011 filter.generate_sets.rec_on
0.000018     6012 filter.sets_iff_generate
0.000018     6013 filter.gi_generate._proof_1
0.000018     6014 filter.gi_generate._proof_2
0.000018     6015 filter.gi_generate._proof_3
0.000018     6016 filter.filter_eq_iff
0.000018     6017 set.ext_iff
0.000018     6018 filter.mem_sets
0.000026     6019 filter.ext_iff
0.000024     6020 filter.ext
0.000018     6021 filter.mk_of_closure_sets
0.000019     6022 filter.gi_generate._proof_4
0.000018     6023 filter.gi_generate
0.000018     6024 _private.1462318553.original_complete_lattice
0.000018     6025 filter.complete_lattice._proof_1
0.000018     6026 filter.has_top._proof_1
0.000026     6027 filter.has_top._proof_2
0.000021     6028 set.mem_inter
0.000022     6029 filter.has_top._proof_3
0.000025     6030 filter.has_top
0.000019     6031 filter.mem_top_sets_iff_forall
0.000018     6032 filter.mem_top_sets
0.000018     6033 filter.complete_lattice._proof_2
0.000018     6034 filter.complete_lattice._proof_3
0.000019     6035 filter.complete_lattice._proof_4
0.000018     6036 set.inter_subset_left
0.000018     6037 filter.has_inf._proof_1
0.000018     6038 filter.has_inf._match_1
0.000018     6039 filter.has_inf._proof_2
0.000023     6040 set.inter_assoc
0.000023     6041 set.inter_is_assoc
0.000018     6042 set.inter_comm
0.000018     6043 set.inter_is_comm
0.000019     6044 set.inter_subset_inter
0.000018     6045 filter.has_inf._match_2
0.000018     6046 filter.has_inf._match_3
0.000016     6047 filter.has_inf._proof_3
0.000016     6048 filter.has_inf
0.000017     6049 filter.mem_inf_sets_of_left
0.000018     6050 set.inter_subset_right
0.000018     6051 filter.mem_inf_sets_of_right
0.000018     6052 filter.complete_lattice._match_1
0.000018     6053 filter.complete_lattice._proof_5
0.000018     6054 set.set_of_true
0.000018     6055 filter.join._proof_1
0.000019     6056 filter.join._proof_2
0.000018     6057 filter.join._match_1
0.000018     6058 filter.join._proof_3
0.000018     6059 filter.join
0.000018     6060 set.Inter
0.000018     6061 set.mem_Inter
0.000018     6062 set.mem_bInter_iff
0.000018     6063 filter.complete_lattice._proof_6
0.000018     6064 filter.complete_lattice._proof_7
0.000018     6065 filter.complete_lattice
0.000019     6066 filter.lift
0.000018     6067 filter.lift'
0.000018     6068 comp_rel
0.000017     6069 uniform_space.core
0.000019     6070 topological_space.is_open
0.000018     6071 uniform_space.core.uniformity
0.000018     6072 uniform_space
0.000018     6073 uniform_space.to_core
0.000018     6074 uniformity
0.000018     6075 pseudo_emetric_space
0.000018     6076 pseudo_emetric_space.to_has_edist
0.000018     6077 emetric_space
0.000018     6078 has_dist
0.000018     6079 has_dist.dist
0.000018     6080 ennreal.has_coe
0.000018     6081 ennreal.of_real
0.000018     6082 pseudo_metric_space
0.000018     6083 pseudo_metric_space.to_has_dist
2.209693     6084 metric_space
0.000074     6085 set.has_coe_to_sort
0.000024     6086 emetric.ball
0.000015     6087 emetric_space.to_pseudo_emetric_space
0.000015     6088 ennreal.to_nnreal._main
0.000015     6089 ennreal.to_nnreal
0.000015     6090 ennreal.to_real
0.000014     6091 pseudo_emetric_space.edist_self
0.000015     6092 ennreal.zero_to_real
0.000015     6093 pseudo_emetric_space.to_pseudo_metric_space_of_dist._proof_1
0.000020     6094 pseudo_emetric_space.edist_comm
0.000018     6095 pseudo_emetric_space.to_pseudo_metric_space_of_dist._proof_2
0.000016     6096 can_lift
0.000015     6097 can_lift.coe
0.000017     6098 option.is_some._main
0.000019     6099 option.is_some
0.000018     6100 option.get._main
0.000018     6101 option.get
0.000015     6102 option.is_some_none
0.000016     6103 option.is_some_some
0.000014     6104 coe_sort_tt
0.000038     6105 option.ne_none_iff_is_some
0.000024     6106 option.some_get
0.000015     6107 ennreal.nnreal.can_lift._proof_1
0.000015     6108 ennreal.nnreal.can_lift
0.000015     6109 can_lift.cond
0.000015     6110 can_lift.prf
0.000018     6111 ennreal.to_real_add
0.000019     6112 nnreal.has_le
0.000018     6113 ennreal.coe_le_coe
0.000018     6114 ennreal.to_real_le_to_real
0.000018     6115 with_top.add_eq_top
0.000019     6116 ennreal.add_eq_top
0.000017     6117 pseudo_emetric_space.edist_triangle
0.000019     6118 pseudo_emetric_space.to_pseudo_metric_space_of_dist._proof_3
0.000018     6119 ennreal.to_real.equations._eqn_1
0.000018     6120 ennreal.of_real.equations._eqn_1
0.000018     6121 nnreal.of_real_coe
0.000018     6122 ennreal.coe_to_nnreal
0.000018     6123 ennreal.of_real_to_real
0.000018     6124 pseudo_emetric_space.to_pseudo_metric_space_of_dist._proof_4
0.000018     6125 uniform_space.core.to_topological_space._proof_1
0.000018     6126 filter.mp_sets
0.000018     6127 filter.univ_mem_sets'
0.000018     6128 set.mem_inter_eq
0.000018     6129 prod.cases_on
0.000018     6130 prod.forall
0.000018     6131 uniform_space.core.to_topological_space._match_1
0.000018     6132 uniform_space.core.to_topological_space._proof_2
0.000018     6133 uniform_space.core.to_topological_space._match_2
0.000018     6134 uniform_space.core.to_topological_space._proof_3
0.000018     6135 uniform_space.core.to_topological_space
0.000018     6136 uniform_space.of_core._proof_1
0.000018     6137 uniform_space.of_core
0.000018     6138 gt.equations._eqn_1
0.000018     6139 id_rel.equations._eqn_1
0.000018     6140 filter.le_principal_iff
0.000018     6141 filter.mem_principal_sets
0.000018     6142 set.subset_def
0.000018     6143 uniform_space_of_dist._proof_1
0.000016     6144 filter.tendsto.equations._eqn_1
0.000015     6145 le_infi_iff
0.000017     6146 filter.tendsto_infi
0.000018     6147 set.preimage_univ
0.000018     6148 filter.comap._proof_1
0.000018     6149 filter.comap._match_1
0.000018     6150 filter.comap._proof_2
0.000018     6151 filter.comap._match_2
0.000018     6152 filter.comap._match_3
0.000018     6153 filter.comap._proof_3
0.000018     6154 filter.comap
0.000018     6155 filter.map_le_iff_le_comap
0.000018     6156 filter.gc_map_comap
0.000018     6157 filter.map_mono
0.000019     6158 filter.tendsto.mono_left
0.000018     6159 filter.tendsto_infi'
0.000018     6160 filter.eventually
0.000018     6161 filter.mem_map
0.000018     6162 filter.eventually.equations._eqn_1
0.000017     6163 filter.tendsto_principal
0.000018     6164 filter.eventually_principal
0.000018     6165 filter.tendsto_principal_principal
0.000019     6166 prod.fst_swap
0.000017     6167 prod.snd_swap
0.000018     6168 uniform_space_of_dist._proof_2
0.000018     6169 filter.lift_le
0.000018     6170 filter.lift'_le
0.000018     6171 filter.mem_infi_sets
0.000018     6172 comp_rel.equations._eqn_1
0.000018     6173 set.set_of_subset_set_of
0.000018     6174 uniform_space_of_dist._proof_3
0.000018     6175 uniform_space_of_dist
0.000018     6176 pseudo_emetric_space.to_pseudo_metric_space_of_dist._proof_5
0.000018     6177 pseudo_emetric_space.to_pseudo_metric_space_of_dist._proof_6
0.000019     6178 pseudo_emetric_space.to_pseudo_metric_space_of_dist._proof_7
0.000017     6179 pseudo_emetric_space.to_pseudo_metric_space_of_dist._proof_8
0.000019     6180 pseudo_emetric_space.to_uniform_space
0.000018     6181 pseudo_emetric_space.to_uniform_space'
0.000018     6182 pseudo_metric_space.edist
0.000018     6183 pseudo_metric_space.to_has_edist
0.000018     6184 pseudo_metric_space.edist_dist
0.000018     6185 edist_dist
0.000018     6186 pseudo_metric_space.dist_self
0.000018     6187 dist_self
0.000018     6188 nnreal.of_real.equations._eqn_1
0.000018     6189 nnreal.of_real_zero
0.000018     6190 ennreal.coe_zero
0.000018     6191 ennreal.of_real_zero
0.000018     6192 pseudo_metric_space.to_pseudo_emetric_space._proof_1
0.000018     6193 pseudo_metric_space.dist_comm
0.000018     6194 dist_comm
0.000018     6195 pseudo_metric_space.to_pseudo_emetric_space._proof_2
0.000018     6196 ennreal.coe_add
0.000018     6197 ennreal.coe_eq_coe
0.000018     6198 subtype.coe_mk
0.000018     6199 nnreal.coe_add
2.417728     6200 nnreal.of_real_add
0.000074     6201 ennreal.of_real_add
0.000025     6202 pseudo_metric_space.dist_triangle
0.000015     6203 dist_triangle
0.000015     6204 dist_nonneg
0.000015     6205 nnreal.coe_le_coe
0.000016     6206 nnreal.of_real_le_of_real_iff
0.000015     6207 ennreal.of_real_le_of_real_iff
0.000015     6208 pseudo_metric_space.to_pseudo_emetric_space._proof_3
0.000015     6209 pseudo_metric_space.to_uniform_space
0.000018     6210 metric_space.to_uniform_space'
0.000018     6211 filter.has_basis
0.000016     6212 infi_subtype
0.000015     6213 infi_subtype'
0.000018     6214 filter.eq_Inf_of_mem_sets_iff_exists_mem
0.000019     6215 set.mem_range
0.000015     6216 exists_exists_eq_and
0.000018     6217 set.exists_range_iff
0.000015     6218 filter.eq_infi_of_mem_sets_iff_exists_mem
0.000015     6219 filter.eq_binfi_of_mem_sets_iff_exists_mem
0.000015     6220 filter.has_basis.mem_iff'
0.000017     6221 filter.has_basis.mem_iff
0.000019     6222 filter.has_basis.eq_binfi
0.000018     6223 filter.has_basis.mem_uniformity_iff
0.000019     6224 pseudo_metric_space.uniformity_dist
0.000018     6225 directed_on
0.000018     6226 order.preimage
0.000018     6227 directed
0.000018     6228 set.Union
0.000018     6229 nonempty.dcases_on
0.000032     6230 set.mem_Union
0.000027     6231 filter.mem_mk
0.000020     6232 filter.infi_sets_eq
0.000019     6233 filter.mem_infi
0.000020     6234 directed_on.equations._eqn_1
0.000018     6235 directed.equations._eqn_1
0.000018     6236 subtype.exists
0.000016     6237 set_coe.exists
0.000015     6238 subtype.forall
0.000015     6239 set_coe.forall
0.000015     6240 forall_prop_congr
0.000019     6241 forall_prop_congr'
0.000018     6242 directed_on_iff_directed
0.000018     6243 directed_on.directed_coe
0.000018     6244 nonempty_subtype
0.000018     6245 set.nonempty.to_subtype
0.000019     6246 filter.mem_binfi
0.000018     6247 directed_comp
0.000018     6248 function.comp.equations._eqn_1
0.000018     6249 directed.mono
0.000018     6250 directed.mono_comp
0.000019     6251 filter.principal_mono
0.000018     6252 filter.has_basis_binfi_principal
0.000018     6253 le_or_gt
0.000018     6254 lt_min
0.000018     6255 no_top_order
0.000018     6256 set.Ioi
0.000018     6257 no_top_order.no_top
0.000018     6258 no_top
0.000018     6259 set.nonempty_Ioi
0.000018     6260 linear_ordered_semiring.to_no_top_order
0.000018     6261 metric.uniformity_basis_dist
0.000018     6262 metric.mem_uniformity_dist
0.000018     6263 ennreal.coe_lt_coe
0.000018     6264 ennreal.coe_pos
0.000018     6265 nnreal.coe_lt_coe
0.000018     6266 as_linear_order
0.000018     6267 total_of
0.000018     6268 as_linear_order.linear_order._proof_1
0.000018     6269 as_linear_order.linear_order
0.000019     6270 lt_sup_iff
0.000018     6271 lt_max_iff
0.000018     6272 nnreal.of_real_pos
0.000018     6273 ennreal.of_real_pos
0.000018     6274 nnreal.of_real_lt_of_real_iff'
0.000018     6275 nnreal.of_real_lt_of_real_iff
0.000018     6276 ennreal.of_real_lt_of_real_iff
0.000018     6277 ennreal.lt_iff_exists_coe
0.000018     6278 with_top.densely_ordered._match_2
0.000019     6279 with_top.densely_ordered._match_3
0.000018     6280 with_top.densely_ordered._match_1
0.000018     6281 with_top.densely_ordered
0.000018     6282 nnreal.densely_ordered._match_1
0.000018     6283 nnreal.densely_ordered
0.000018     6284 nnreal.no_top_order._match_1
0.000019     6285 nnreal.no_top_order
0.000018     6286 ennreal.densely_ordered
0.000018     6287 nnreal.coe_of_real
0.000018     6288 inv_div
0.000018     6289 rat.cast_inv_of_ne_zero
0.000018     6290 rat.cast_div_of_ne_zero
0.000019     6291 rat.coe_int_denom
0.000018     6292 rat.coe_int_num
0.000018     6293 rat.coe_nat_num
0.000018     6294 has_lt.lt.trans
0.000018     6295 rat.coe_nat_denom
0.000018     6296 lt_neg_add_iff_add_lt
0.000018     6297 lt_sub_iff_add_lt'
0.000019     6298 div_lt_iff'
0.000018     6299 exists_rat_btwn
0.000018     6300 nnreal.lt_iff_exists_rat_btwn
0.000018     6301 ennreal.lt_iff_exists_rat_btwn
0.000018     6302 ennreal.lt_iff_exists_real_btwn
0.000018     6303 pseudo_metric.uniformity_basis_edist
0.000019     6304 metric.uniformity_edist
0.000017     6305 pseudo_metric_space.to_pseudo_emetric_space
0.000019     6306 pseudo_metric_space.replace_uniformity._proof_1
0.000018     6307 pseudo_metric_space.replace_uniformity
0.000018     6308 pseudo_emetric_space.uniformity_edist
0.000018     6309 uniformity_pseudoedist
0.000018     6310 pseudo_emetric_space.to_pseudo_metric_space_of_dist._proof_9
0.000018     6311 pseudo_emetric_space.to_pseudo_metric_space_of_dist
0.000018     6312 emetric_space.to_metric_space_of_dist._proof_1
0.000018     6313 emetric_space.to_metric_space_of_dist._proof_2
0.000018     6314 emetric_space.to_metric_space_of_dist._proof_3
0.000018     6315 emetric_space.to_metric_space_of_dist._proof_4
0.000019     6316 emetric_space.to_metric_space_of_dist._proof_5
0.000018     6317 nnreal.coe_eq
0.000018     6318 nnreal.coe_eq_zero
0.000018     6319 ennreal.none_eq_top
0.000018     6320 ennreal.top_to_nnreal
0.000018     6321 ennreal.some_eq_coe
0.000018     6322 ennreal.to_nnreal_coe
0.801709     6323 with_top.zero_ne_top
0.000072     6324 ennreal.zero_to_nnreal
0.000023     6325 ennreal.to_nnreal_eq_zero_iff
0.000016     6326 ennreal.to_real_eq_zero_iff
0.000015     6327 emetric_space.eq_of_edist_eq_zero
0.000015     6328 edist_eq_zero
0.000015     6329 emetric_space.to_metric_space_of_dist._proof_6
0.000014     6330 emetric_space.to_metric_space_of_dist
0.000016     6331 emetric_space.to_metric_space._proof_1
0.000015     6332 emetric_space.to_metric_space
0.000017     6333 emetric_space.induced._proof_1
0.000016     6334 emetric_space.induced._proof_2
0.000015     6335 emetric_space.induced._proof_3
0.000017     6336 topological_space.is_open_univ
0.000018     6337 topological_space.induced._proof_1
0.000018     6338 topological_space.is_open_inter
0.000016     6339 set.preimage_inter
0.000015     6340 topological_space.induced._proof_2
0.000018     6341 classical.axiom_of_choice
0.000015     6342 classical.skolem
0.000018     6343 set.preimage.equations._eqn_1
0.000018     6344 set.preimage_Union
0.000018     6345 infi_subtype''
0.000018     6346 infi.equations._eqn_1
0.000018     6347 forall_swap
0.000018     6348 forall_apply_eq_imp_iff
0.000018     6349 forall_apply_eq_imp_iff'
0.000018     6350 set.forall_range_iff
0.000018     6351 set.mem_range_self
0.000018     6352 forall_apply_eq_imp_iff₂
0.000018     6353 set.ball_image_iff
0.000018     6354 set.range_comp
0.000018     6355 set.image.equations._eqn_1
0.000027     6356 set.range.equations._eqn_1
0.000019     6357 set.image_univ
0.000019     6358 subtype.coe_image
0.000018     6359 set.set_of_mem_eq
0.000018     6360 subtype.range_coe
0.000018     6361 Inf_image
0.000018     6362 Sup_image
0.000018     6363 set.sUnion_image
0.000018     6364 set.image_id'
0.000018     6365 set.sUnion_eq_bUnion
0.000018     6366 is_open
0.000018     6367 topological_space.is_open_sUnion
0.000018     6368 is_open_sUnion
0.000018     6369 is_open_Union
0.000018     6370 topological_space.induced._proof_3
0.000018     6371 topological_space.induced
0.000018     6372 uniform_space.to_topological_space
0.000018     6373 filter.comap_principal
0.000017     6374 mem_id_rel
0.000019     6375 id_rel_subset
0.000017     6376 set.mem_preimage
0.000018     6377 filter.comap_mono
0.000018     6378 uniform_space.core.refl
0.000018     6379 uniform_space.comap._proof_1
0.000018     6380 prod.swap.equations._eqn_1
0.000018     6381 filter.map_compose
0.000018     6382 filter.map_map
0.000018     6383 filter.tendsto.comp
0.000018     6384 filter.map_comap_le
0.000018     6385 filter.tendsto_comap
0.000017     6386 filter.tendsto_comap_iff
0.000018     6387 uniform_space.core.symm
0.000018     6388 symm_le_uniformity
0.000018     6389 tendsto_swap_uniformity
0.000018     6390 uniform_space.comap._proof_2
0.000018     6391 filter.mem_comap_sets
0.000018     6392 filter.has_basis.mem_of_superset
0.000018     6393 filter.has_basis.mem_of_mem
0.000018     6394 filter.has_basis.exists_iff
0.000018     6395 filter.has_basis.mem_lift_iff
0.000018     6396 filter.exists_sets_subset_iff
0.000018     6397 filter.basis_sets
0.000018     6398 id.equations._eqn_1
0.000017     6399 filter.mem_lift_sets
0.000018     6400 monotone.comp
0.000018     6401 filter.comap_lift_eq
0.000018     6402 filter.monotone_principal
0.000018     6403 filter.lift'.equations._eqn_1
0.000018     6404 filter.comap_lift'_eq
0.000018     6405 monotone_comp_rel
0.000018     6406 monotone_id
0.000017     6407 filter.comap_lift_eq2
0.000018     6408 filter.comap_lift'_eq2
0.000018     6409 infi_le_infi
0.000018     6410 filter.lift'_mono'
0.000018     6411 uniform_space.comap._match_2
0.000018     6412 uniform_space.comap._match_3
0.000018     6413 uniform_space.core.comp
0.000018     6414 uniform_space.comap._proof_3
0.000018     6415 nhds
0.000017     6416 interior
0.000018     6417 is_open_interior
0.000018     6418 set.sUnion_subset
0.000018     6419 interior_subset
0.000018     6420 set.subset_sUnion_of_mem
0.000018     6421 interior_maximal
0.000017     6422 is_open.interior_eq
0.000018     6423 interior_eq_iff_open
0.000018     6424 subset_interior_iff_open
0.000018     6425 interior.equations._eqn_1
0.000018     6426 mem_interior
0.000017     6427 nhds.equations._eqn_1
0.000018     6428 nhds_def
0.000018     6429 is_open_inter
0.000018     6430 is_open_univ
0.000018     6431 nhds_basis_opens
0.000018     6432 mem_nhds_sets_iff
0.000018     6433 interior_eq_nhds'
0.000018     6434 interior_eq_nhds
0.000017     6435 is_open_iff_nhds
0.000018     6436 uniform_space.is_open_uniformity
0.000018     6437 is_open_uniformity
0.000016     6438 refl_le_uniformity
0.000017     6439 refl_mem_uniformity
0.000018     6440 filter.mem_lift'_sets
0.000019     6441 comp_le_uniformity
0.000017     6442 comp_mem_uniformity_sets
0.000019     6443 mem_nhds_uniformity_iff_right
0.000018     6444 is_open_induced_iff
0.000018     6445 mem_nhds_induced
0.000018     6446 nhds_induced
0.000018     6447 filter.comap.equations._eqn_1
0.000017     6448 ball_congr
0.000018     6449 uniform_space.ball
0.000018     6450 nhds_eq_comap_uniformity_aux
0.000018     6451 nhds_eq_comap_uniformity
0.000018     6452 uniform_space.mem_nhds_iff
0.000019     6453 uniform_space.ball_mem_nhds
0.536660     6454 mem_nhds_left
0.000074     6455 uniform_space.comap._proof_4
0.000025     6456 uniform_space.comap
0.000015     6457 uniformity_dist_of_mem_uniformity
0.000015     6458 canonically_ordered_semiring.zero_lt_one
0.000015     6459 nonempty.elim_to_inhabited
0.000016     6460 option.nontrivial
0.000014     6461 with_top.nontrivial
0.000015     6462 ennreal.nontrivial
0.000015     6463 ennreal.zero_lt_one
0.000018     6464 uniformity_basis_edist
0.000019     6465 mem_uniformity_edist
0.000019     6466 edist_mem_uniformity
0.000018     6467 emetric_space.induced._match_1
0.000015     6468 emetric_space.induced._proof_4
0.000015     6469 emetric_space.induced._proof_5
0.000015     6470 emetric_space.induced
0.000017     6471 subtype.ext_iff
0.000018     6472 subtype.ext_iff_val
0.000018     6473 subtype.emetric_space._proof_1
0.000016     6474 subtype.emetric_space
0.000015     6475 lt_top_iff_ne_top
0.000015     6476 pseudo_emetric_space.induced._proof_1
0.000017     6477 pseudo_emetric_space.induced._proof_2
0.000018     6478 pseudo_emetric_space.induced._proof_3
0.000019     6479 pseudo_emetric_space.induced._match_1
0.000018     6480 pseudo_emetric_space.induced._proof_4
0.000017     6481 pseudo_emetric_space.induced
0.000019     6482 subtype.pseudo_emetric_space
0.000018     6483 edist_triangle_left
0.000018     6484 ennreal.top_add
0.000018     6485 with_top.add_lt_top
0.000018     6486 ennreal.add_lt_top
0.000018     6487 ennreal.coe_lt_top
0.000024     6488 ennreal.add_top
0.000025     6489 ne_top_of_lt
0.000019     6490 ennreal.add_lt_add
0.000018     6491 edist_ne_top_of_mem_ball
0.000019     6492 metric_space_emetric_ball
0.000018     6493 expr.coord
0.000018     6494 expr.coord.cases_on
0.000018     6495 expr.coord.repr._sunfold
0.000018     6496 omega.nat.preterm
0.000019     6497 omega.nat.preform
0.000018     6498 omega.nat.preform.cases_on
0.000018     6499 omega.nat.preform.below
0.000018     6500 omega.nat.preform.brec_on
0.000018     6501 pprod.snd
0.000018     6502 omega.nat.push_neg._main
0.000018     6503 omega.nat.push_neg
0.000018     6504 omega.nat.nnf._main
0.000018     6505 omega.nat.nnf
0.000018     6506 omega.nat.nnf._sunfold
0.000018     6507 right_cancel_monoid
0.000018     6508 right_cancel_monoid.mul
0.000018     6509 right_cancel_monoid.mul_assoc
0.000018     6510 right_cancel_monoid.one
0.000019     6511 right_cancel_monoid.one_mul
0.000018     6512 right_cancel_monoid.mul_one
0.000018     6513 right_cancel_monoid.npow
0.000017     6514 right_cancel_monoid.npow_zero'
0.000019     6515 right_cancel_monoid.npow_succ'
0.000017     6516 right_cancel_monoid.to_monoid
0.000019     6517 cancel_monoid
0.000018     6518 cancel_monoid.mul
0.000018     6519 cancel_monoid.mul_assoc
0.000018     6520 cancel_monoid.mul_right_cancel
0.000018     6521 cancel_monoid.one
0.000018     6522 cancel_monoid.one_mul
0.000018     6523 cancel_monoid.mul_one
0.000018     6524 cancel_monoid.npow
0.000018     6525 cancel_monoid.npow_zero'
0.000018     6526 cancel_monoid.npow_succ'
0.000018     6527 cancel_monoid.to_right_cancel_monoid
0.000018     6528 cancel_comm_monoid
0.000018     6529 cancel_comm_monoid.mul
0.000018     6530 cancel_comm_monoid.mul_assoc
0.000018     6531 cancel_comm_monoid.mul_left_cancel
0.000018     6532 cancel_comm_monoid.one
0.000018     6533 cancel_comm_monoid.one_mul
0.000018     6534 cancel_comm_monoid.mul_one
0.000019     6535 cancel_comm_monoid.npow
0.000015     6536 cancel_comm_monoid.npow_zero'
0.000015     6537 cancel_comm_monoid.npow_succ'
0.000018     6538 left_cancel_semigroup
0.000018     6539 left_cancel_semigroup.mul
0.000027     6540 left_cancel_semigroup.mul_assoc
0.000018     6541 left_cancel_semigroup.to_semigroup
0.000015     6542 left_cancel_semigroup.mul_left_cancel
0.000018     6543 mul_left_cancel
0.000020     6544 left_cancel_monoid
0.000018     6545 left_cancel_monoid.mul
0.000018     6546 left_cancel_monoid.mul_assoc
0.000018     6547 left_cancel_monoid.mul_left_cancel
0.000019     6548 left_cancel_monoid.to_left_cancel_semigroup
0.000018     6549 cancel_comm_monoid.to_left_cancel_monoid
0.000018     6550 cancel_comm_monoid.mul_comm
0.000018     6551 cancel_comm_monoid.to_comm_monoid
0.000018     6552 cancel_comm_monoid.to_cancel_monoid._proof_1
0.000018     6553 cancel_comm_monoid.to_cancel_monoid
0.000018     6554 linear_ordered_cancel_comm_monoid
0.000018     6555 ordered_cancel_comm_monoid
0.000018     6556 ordered_cancel_comm_monoid.mul
0.000018     6557 order_dual.ordered_comm_monoid._proof_1
0.000018     6558 order_dual.ordered_comm_monoid._proof_2
0.000018     6559 order_dual.ordered_comm_monoid._proof_3
0.000019     6560 order_dual.ordered_comm_monoid._proof_4
0.000018     6561 order_dual.ordered_comm_monoid._proof_5
0.000018     6562 order_dual.ordered_comm_monoid._proof_6
0.000018     6563 order_dual.ordered_comm_monoid._proof_7
0.000018     6564 order_dual.ordered_comm_monoid._proof_8
0.000018     6565 order_dual.ordered_comm_monoid._proof_9
0.000018     6566 order_dual.ordered_comm_monoid._proof_10
0.000018     6567 ordered_comm_monoid.mul_le_mul_left
0.152690     6568 mul_le_mul_left'
0.000066     6569 order_dual.ordered_comm_monoid._proof_11
0.000025     6570 ordered_comm_monoid.lt_of_mul_lt_mul_left
0.000015     6571 lt_of_mul_lt_mul_left'
0.000016     6572 order_dual.ordered_comm_monoid._proof_12
0.000015     6573 order_dual.ordered_comm_monoid
0.000024     6574 ordered_cancel_comm_monoid.mul_assoc
0.000017     6575 ordered_cancel_comm_monoid.one
0.000015     6576 ordered_cancel_comm_monoid.one_mul
0.000015     6577 ordered_cancel_comm_monoid.mul_one
0.000019     6578 ordered_cancel_comm_monoid.npow
0.000018     6579 ordered_cancel_comm_monoid.npow_zero'
0.000016     6580 ordered_cancel_comm_monoid.npow_succ'
0.000015     6581 ordered_cancel_comm_monoid.mul_comm
0.000015     6582 ordered_cancel_comm_monoid.le
0.000017     6583 ordered_cancel_comm_monoid.lt
0.000016     6584 ordered_cancel_comm_monoid.le_refl
0.000017     6585 ordered_cancel_comm_monoid.le_trans
0.000016     6586 ordered_cancel_comm_monoid.lt_iff_le_not_le
0.000015     6587 ordered_cancel_comm_monoid.le_antisymm
0.000015     6588 ordered_cancel_comm_monoid.mul_left_cancel
0.000015     6589 ordered_cancel_comm_monoid.mul_le_mul_left
0.000017     6590 ordered_cancel_comm_monoid.to_partial_order
0.000016     6591 ordered_cancel_comm_monoid.to_cancel_comm_monoid
0.000015     6592 ordered_cancel_comm_monoid.le_of_mul_le_mul_left
0.000015     6593 le_of_mul_le_mul_left'
0.000017     6594 ordered_cancel_comm_monoid.to_ordered_comm_monoid._proof_1
0.000018     6595 ordered_cancel_comm_monoid.to_ordered_comm_monoid
0.000016     6596 order_dual.ordered_cancel_comm_monoid._proof_1
0.000015     6597 order_dual.ordered_cancel_comm_monoid._proof_2
0.000017     6598 order_dual.ordered_cancel_comm_monoid._proof_3
0.000016     6599 order_dual.ordered_cancel_comm_monoid._proof_4
0.000017     6600 order_dual.ordered_cancel_comm_monoid._proof_5
0.000018     6601 order_dual.ordered_cancel_comm_monoid._proof_6
0.000018     6602 order_dual.ordered_cancel_comm_monoid._proof_7
0.000018     6603 order_dual.ordered_cancel_comm_monoid._proof_8
0.000018     6604 order_dual.ordered_cancel_comm_monoid._proof_9
0.000018     6605 order_dual.ordered_cancel_comm_monoid._proof_10
0.000018     6606 order_dual.ordered_cancel_comm_monoid._proof_11
0.000018     6607 order_dual.ordered_cancel_comm_monoid._proof_12
0.000021     6608 order_dual.ordered_cancel_comm_monoid._proof_13
0.000025     6609 order_dual.ordered_cancel_comm_monoid
0.000017     6610 linear_ordered_cancel_comm_monoid.mul
0.000015     6611 linear_ordered_cancel_comm_monoid.mul_assoc
0.000017     6612 linear_ordered_cancel_comm_monoid.mul_left_cancel
0.000018     6613 linear_ordered_cancel_comm_monoid.one
0.000019     6614 linear_ordered_cancel_comm_monoid.one_mul
0.000018     6615 linear_ordered_cancel_comm_monoid.mul_one
0.000018     6616 linear_ordered_cancel_comm_monoid.npow
0.000018     6617 linear_ordered_cancel_comm_monoid.npow_zero'
0.000025     6618 linear_ordered_cancel_comm_monoid.npow_succ'
0.000021     6619 linear_ordered_cancel_comm_monoid.mul_comm
0.000019     6620 linear_ordered_cancel_comm_monoid.le
0.000018     6621 linear_ordered_cancel_comm_monoid.lt
0.000018     6622 linear_ordered_cancel_comm_monoid.le_refl
0.000018     6623 linear_ordered_cancel_comm_monoid.le_trans
0.000018     6624 linear_ordered_cancel_comm_monoid.lt_iff_le_not_le
0.000018     6625 linear_ordered_cancel_comm_monoid.le_antisymm
0.000019     6626 linear_ordered_cancel_comm_monoid.mul_le_mul_left
0.000018     6627 linear_ordered_cancel_comm_monoid.le_of_mul_le_mul_left
0.000018     6628 linear_ordered_cancel_comm_monoid.to_ordered_cancel_comm_monoid
0.000018     6629 order_dual.linear_ordered_cancel_comm_monoid._proof_7
0.000019     6630 norm_cast.label
0.000018     6631 norm_cast.label.move.inj
0.000018     6632 norm_cast.label.move.inj_arrow
0.000018     6633 filter.prod
0.000018     6634 filter.tendsto_inf
0.000019     6635 filter.tendsto.prod_mk
0.000018     6636 set.set_semiring
0.000018     6637 set.image2
0.000018     6638 set.has_mul
0.000018     6639 set.union_assoc
0.000018     6640 set.empty_union
0.000018     6641 set.union_empty
0.000019     6642 set.set_semiring.add_comm_monoid._proof_1
0.000025     6643 set.set_semiring.add_comm_monoid._proof_2
0.000022     6644 set.union_comm
0.000018     6645 set.set_semiring.add_comm_monoid
0.000018     6646 set.mem_image2
0.000018     6647 set.image2_empty_left
0.000018     6648 set.empty_mul
0.000017     6649 set.set_semiring.mul_zero_class._proof_1
0.000019     6650 set.image2_empty_right
0.000018     6651 set.mul_empty
0.000018     6652 set.set_semiring.mul_zero_class._proof_2
0.000017     6653 set.set_semiring.mul_zero_class
0.000018     6654 set.set_semiring.semiring._proof_12
0.000018     6655 pgame
0.000018     6656 pgame.short
0.000018     6657 pgame.short.rec_on
0.000018     6658 tactic.tfae.arrow
0.000018     6659 tactic.tfae.arrow.sizeof
0.254714     6660 tactic.tfae.arrow.left.sizeof_spec
0.000073     6661 superset
0.000024     6662 filter.ne_bot
0.000016     6663 cluster_pt
0.000015     6664 is_compact
0.000015     6665 boolean_algebra.to_core
0.000015     6666 is_closed
0.000014     6667 set.nonempty.mono
0.000016     6668 set.subset_Inter
0.000015     6669 set.Inter_subset
0.000020     6670 set.Inter_subset_of_subset
0.000018     6671 set.Inter_subset_Inter
0.000016     6672 set.mem_compl_eq
0.000015     6673 nhds_within
0.000017     6674 is_compl
0.000016     6675 sup_of_le_right
0.000018     6676 bot_sup_eq
0.000018     6677 inf_le_inf
0.000018     6678 inf_le_inf_left
0.000021     6679 inf_eq_bot_iff_le_compl
0.000025     6680 is_compl.top_le_sup
0.000016     6681 is_compl.sup_eq_top
0.000018     6682 disjoint.eq_bot
0.000016     6683 is_compl.inf_le_bot
0.000018     6684 is_compl.disjoint
0.000020     6685 is_compl.inf_eq_bot
0.000018     6686 is_compl.inf_left_eq_bot_iff
0.000019     6687 is_compl.disjoint_left_iff
0.000018     6688 is_compl.symm
0.000018     6689 is_compl.disjoint_right_iff
0.000018     6690 is_compl.le_left_iff
0.000018     6691 order_dual.bounded_distrib_lattice._proof_1
0.000019     6692 order_dual.bounded_distrib_lattice._proof_2
0.000018     6693 order_dual.bounded_distrib_lattice._proof_3
0.000018     6694 order_dual.bounded_distrib_lattice._proof_4
0.000018     6695 order_dual.bounded_distrib_lattice._proof_5
0.000018     6696 order_dual.bounded_distrib_lattice._proof_6
0.000024     6697 order_dual.bounded_distrib_lattice._proof_7
0.000024     6698 order_dual.bounded_distrib_lattice._proof_8
0.000016     6699 order_dual.bounded_distrib_lattice._proof_9
0.000015     6700 order_dual.bounded_distrib_lattice._proof_10
0.000018     6701 order_dual.distrib_lattice._proof_1
0.000018     6702 order_dual.distrib_lattice._proof_2
0.000018     6703 order_dual.distrib_lattice._proof_3
0.000018     6704 order_dual.distrib_lattice._proof_4
0.000019     6705 order_dual.distrib_lattice._proof_5
0.000018     6706 order_dual.distrib_lattice._proof_6
0.000018     6707 order_dual.distrib_lattice._proof_7
0.000018     6708 order_dual.distrib_lattice._proof_8
0.000019     6709 order_dual.distrib_lattice._proof_9
0.000018     6710 order_dual.distrib_lattice._proof_10
0.000018     6711 order_dual.distrib_lattice._proof_11
0.000018     6712 order_dual.distrib_lattice
0.000018     6713 order_dual.bounded_distrib_lattice._proof_11
0.000019     6714 order_dual.bounded_distrib_lattice._proof_12
0.000018     6715 order_dual.bounded_distrib_lattice._proof_13
0.000018     6716 order_dual.bounded_distrib_lattice
0.000018     6717 is_compl.to_order_dual
0.000019     6718 is_compl.left_le_iff
0.000017     6719 is_compl.right_le_iff
0.000019     6720 is_compl.antimono
0.000018     6721 is_compl.right_unique
0.000018     6722 is_compl.of_eq
0.000018     6723 is_compl_compl
0.000018     6724 is_compl.compl_eq
0.000018     6725 semilattice_sup_top.to_semilattice_sup
0.000018     6726 semilattice_sup_top.top
0.000019     6727 semilattice_sup_top.le_top
0.000018     6728 semilattice_sup_top.to_order_top
0.000018     6729 sup_of_le_left
0.000018     6730 top_sup_eq
0.000019     6731 semilattice_sup_top_of_bounded_lattice._proof_1
0.000018     6732 semilattice_sup_top_of_bounded_lattice
0.000018     6733 is_compl_top_bot
0.000018     6734 compl_top
0.000019     6735 set.compl_univ
0.000017     6736 compl_compl
0.000019     6737 compl_le_compl
0.000020     6738 compl_le_compl_iff_le
0.000026     6739 set.compl_subset_compl
0.000019     6740 inf_sup_right
0.000019     6741 sup_left_comm
0.000018     6742 inf_left_comm
0.000018     6743 sup_top_eq
0.000019     6744 top_inf_eq
0.000018     6745 is_compl.sup_inf
0.000018     6746 is_compl.inf_sup
0.000018     6747 compl_inf
0.000018     6748 set.compl_inter
0.000018     6749 push_neg.not_forall_eq
0.000018     6750 not_not_of_not_imp
0.000018     6751 decidable.of_not_imp
0.000019     6752 not_of_not_imp
0.000018     6753 not_imp_of_and_not
0.000018     6754 decidable.not_imp
0.000018     6755 not_imp
0.000018     6756 push_neg.not_implies_eq
0.000019     6757 set.nonempty.ne_empty
0.000018     6758 set.empty_not_nonempty
0.000018     6759 filter.mem_bot_sets
0.000018     6760 filter.empty_in_sets_eq_bot
0.000018     6761 filter.ne_bot.ne'
0.000018     6762 filter.nonempty_of_mem_sets
0.000018     6763 filter.forall_sets_nonempty_iff_ne_bot
0.000018     6764 filter.has_basis.forall_iff
0.000019     6765 filter.has_basis.ne_bot_iff
0.000018     6766 filter.bounded_distrib_lattice._proof_1
0.000018     6767 filter.bounded_distrib_lattice._proof_2
0.000018     6768 filter.bounded_distrib_lattice._proof_3
0.000018     6769 filter.bounded_distrib_lattice._proof_4
0.000018     6770 filter.bounded_distrib_lattice._proof_5
0.000018     6771 filter.bounded_distrib_lattice._proof_6
0.000018     6772 filter.bounded_distrib_lattice._proof_7
0.000019     6773 filter.bounded_distrib_lattice._proof_8
0.000018     6774 filter.bounded_distrib_lattice._proof_9
0.000018     6775 filter.bounded_distrib_lattice._proof_10
0.000018     6776 filter.mem_sup_sets
1.028992     6777 filter.mem_inf_sets
0.000077     6778 set.subset_union_left
0.000025     6779 set.subset_union_right
0.000015     6780 generalized_boolean_algebra.le_sup_inf
0.000015     6781 generalized_boolean_algebra.to_distrib_lattice
0.000015     6782 boolean_algebra.to_generalized_boolean_algebra
0.000015     6783 set.union_subset
0.000015     6784 filter.bounded_distrib_lattice._proof_11
0.000015     6785 filter.bounded_distrib_lattice._proof_12
0.000015     6786 filter.bounded_distrib_lattice._proof_13
0.000018     6787 filter.bounded_distrib_lattice
0.000016     6788 imp_and_distrib
0.000015     6789 set.subset_inter_iff
0.000014     6790 filter.inf_principal
0.000015     6791 set.inter_compl_self
0.000015     6792 filter.principal_empty
0.000015     6793 set.union_subset_iff
0.000018     6794 filter.sup_principal
0.000019     6795 em
0.000019     6796 set.union_compl_self
0.000018     6797 filter.principal_univ
0.000016     6798 filter.is_compl_principal
0.000015     6799 decidable.not_or_of_imp
0.000015     6800 or.neg_resolve_left
0.000015     6801 decidable.imp_iff_not_or
0.000017     6802 imp_iff_not_or
0.000016     6803 is_compl.le_right_iff
0.000015     6804 filter.mem_inf_principal
0.000015     6805 set.mem_inter_iff
0.000017     6806 filter.has_basis.inf_principal
0.000016     6807 filter.has_basis.inf_principal_ne_bot_iff
0.000017     6808 filter.inf_principal_ne_bot_iff
0.000018     6809 set.not_subset
0.000018     6810 set.inter_compl_nonempty_iff
0.000018     6811 filter.ne_bot_iff
0.000018     6812 filter.mem_iff_inf_principal_compl
0.000018     6813 filter.not_mem_iff_inf_principal_compl
0.000018     6814 is_compact.compl_mem_sets
0.000018     6815 is_compact.compl_mem_sets_of_nhds_within
0.000018     6816 is_compact.induction_on
0.000018     6817 mem_nhds_within_of_mem_nhds
0.000018     6818 mem_nhds_sets
0.000018     6819 is_compact.elim_directed_cover
0.000018     6820 finset.inhabited_finset
0.000018     6821 is_open_bUnion
0.000018     6822 supr_eq_supr_finset
0.000018     6823 set.Union_eq_Union_finset
0.000018     6824 directed_of_sup
0.000018     6825 finset.semilattice_sup_bot._proof_1
0.000018     6826 finset.semilattice_sup_bot._proof_2
0.000018     6827 finset.semilattice_sup_bot._proof_3
0.000018     6828 finset.semilattice_sup_bot._proof_4
0.000018     6829 finset.semilattice_sup_bot._proof_5
0.000018     6830 finset.semilattice_sup_bot._proof_6
0.000019     6831 finset.semilattice_sup_bot._proof_7
0.000022     6832 finset.semilattice_sup_bot._proof_8
0.000026     6833 finset.semilattice_sup_bot
0.000019     6834 set.bUnion_subset
0.000018     6835 set.subset_bUnion_of_mem
0.000018     6836 set.bUnion_subset_bUnion_left
0.000018     6837 is_compact.elim_finite_subcover
0.000018     6838 is_closed.is_open_compl
0.000018     6839 is_compact.elim_finite_subfamily_closed
0.000018     6840 is_open_compl_iff
0.000018     6841 cond._main
0.000018     6842 cond
0.000018     6843 set.mem_union_eq
0.000018     6844 bool.exists_bool
0.000018     6845 bool.cond_ff
0.000018     6846 bool.cond_tt
0.000018     6847 set.union_eq_Union
0.000019     6848 bool.forall_bool
0.000026     6849 is_open_union
0.000021     6850 is_closed_inter
0.000019     6851 set.inter_empty
0.000018     6852 is_trans
0.000018     6853 is_trans.trans
0.000018     6854 trans
0.000018     6855 directed.finset_le
0.000018     6856 trans_of
0.000018     6857 is_trans.swap
0.000018     6858 has_le.le.is_trans
0.000018     6859 ge.is_trans
0.000018     6860 set.subset_bInter
0.000018     6861 is_compact.nonempty_Inter_of_directed_nonempty_compact_closed
0.000018     6862 euclidean_domain.cases_on
0.000018     6863 euclidean_domain.no_confusion_type
0.000018     6864 euclidean_domain.no_confusion
0.000018     6865 euclidean_domain.mk.inj
0.000018     6866 euclidean_domain.mk.inj_arrow
0.000018     6867 has_norm
0.000018     6868 metric_space.to_pseudo_metric_space
0.000018     6869 has_norm.norm
0.000018     6870 normed_group
0.000018     6871 asymptotics.is_O_with
0.000018     6872 asymptotics.is_O
0.000018     6873 normed_field
0.000017     6874 normed_field.to_has_norm
0.000018     6875 normed_group.to_has_norm
0.000018     6876 real.linear_ordered_add_comm_group
0.000018     6877 real.pseudo_metric_space._proof_1
0.000018     6878 abs_sub
0.000018     6879 real.pseudo_metric_space._proof_2
0.000018     6880 abs_sub_le
0.000018     6881 real.pseudo_metric_space._proof_3
0.000018     6882 real.pseudo_metric_space._proof_4
0.000018     6883 real.pseudo_metric_space._proof_5
0.000018     6884 real.pseudo_metric_space._proof_6
0.000018     6885 real.pseudo_metric_space._proof_7
0.000016     6886 real.pseudo_metric_space._proof_8
0.000017     6887 real.pseudo_metric_space
0.000018     6888 real.metric_space._proof_1
0.000018     6889 real.metric_space
0.000018     6890 real.normed_group._proof_1
0.000018     6891 real.normed_group
0.000018     6892 normed_group.to_metric_space
0.000018     6893 normed_group.to_add_comm_group
0.000017     6894 normed_group.dist_eq
0.000018     6895 real.normed_field
0.000018     6896 asymptotics.is_O.equations._eqn_1
0.000019     6897 asymptotics.is_O_with.equations._eqn_1
0.229128     6898 semi_normed_group
0.000087     6899 semi_normed_group.to_has_norm
0.000023     6900 real.norm_of_nonneg
0.000016     6901 semi_normed_group.to_pseudo_metric_space
0.000015     6902 semi_normed_group.to_add_comm_group
0.000015     6903 semi_normed_group.dist_eq
0.000014     6904 dist_eq_norm
0.000015     6905 dist_zero_right
0.000015     6906 norm_nonneg
0.000014     6907 norm_norm
0.000015     6908 normed_group.to_semi_normed_group
0.000019     6909 asymptotics.is_O_with_norm_left
0.000018     6910 asymptotics.is_O_norm_left
0.000018     6911 asymptotics.is_O_with_norm_right
0.000016     6912 asymptotics.is_O_norm_right
0.000014     6913 asymptotics.is_O_norm_norm
0.000018     6914 normalization_monoid.norm_unit_zero
0.000018     6915 units.coe_one
0.000018     6916 normalize._proof_1
0.000018     6917 normalization_monoid.norm_unit_coe_units
0.000016     6918 norm_unit_one
0.000014     6919 normalize._proof_2
0.000015     6920 normalization_monoid.norm_unit_mul
0.000018     6921 normalize._proof_3
0.000016     6922 normalize
0.000017     6923 gcd_monoid
0.000018     6924 gcd_monoid.lcm
0.000019     6925 associated
0.000018     6926 associated.refl
0.000018     6927 associated_of_dvd_dvd
0.000018     6928 normalize_apply
0.000017     6929 normalize_eq_normalize
0.000018     6930 dvd_antisymm_of_normalize_eq
0.000018     6931 gcd_monoid.norm_unit
0.000018     6932 gcd_monoid.norm_unit_zero
0.000018     6933 gcd_monoid.norm_unit_mul
0.000018     6934 gcd_monoid.norm_unit_coe_units
0.000018     6935 gcd_monoid.to_normalization_monoid
0.000018     6936 normalize_zero
0.000018     6937 gcd_monoid.gcd
0.000018     6938 gcd_monoid.normalize_gcd
0.000018     6939 normalize_gcd
0.000018     6940 gcd_monoid.gcd_mul_lcm
0.000018     6941 gcd_mul_lcm
0.000017     6942 left_inv_eq_right_inv
0.000018     6943 group.mul_left_inv
0.000018     6944 mul_left_inv
0.000018     6945 inv_mul_self
0.000018     6946 inv_eq_of_mul_eq_one
0.000017     6947 inv_inv
0.000018     6948 eq_inv_of_mul_eq_one
0.000018     6949 mul_eq_one_iff_eq_inv
0.000018     6950 mul_inv_eq_one
0.000018     6951 norm_unit_mul_norm_unit
0.000018     6952 normalize_idem
0.000018     6953 gcd_monoid.gcd_dvd_right
0.000018     6954 gcd_monoid.gcd_dvd_left
0.000017     6955 gcd_eq_normalize
0.000018     6956 gcd_monoid.dvd_gcd
0.000018     6957 gcd_zero_left
0.000018     6958 gcd_eq_zero_iff
0.000018     6959 associated.symm
0.000018     6960 associated_zero_iff_eq_zero
0.000018     6961 associated_normalize
0.000018     6962 normalize_eq_zero
0.000018     6963 cancel_monoid_with_zero.to_no_zero_divisors
0.000018     6964 gcd_monoid.lcm_zero_left
0.000018     6965 gcd_monoid.lcm_zero_right
0.000018     6966 lcm_eq_zero_iff
0.000018     6967 normalize_lcm
0.000024     6968 eq_zero_of_zero_dvd
0.000025     6969 zero_dvd_iff
0.000019     6970 mul_dvd_mul_iff_left
0.000018     6971 dvd_trans
0.000018     6972 units.mul_right_dvd
0.000018     6973 normalize_dvd_iff
0.000018     6974 units.dvd_mul_right
0.000018     6975 dvd_normalize_iff
0.000018     6976 mul_dvd_mul
0.000018     6977 mul_dvd_mul_left
0.000018     6978 gcd_mul_left
0.000018     6979 gcd_mul_right
0.000018     6980 dvd_gcd_iff
0.000018     6981 mul_left_inj'
0.000018     6982 mul_dvd_mul_iff_right
0.000018     6983 lcm_dvd_iff
0.000018     6984 lcm_dvd
0.000018     6985 dvd_lcm_right
0.000018     6986 dvd_lcm_left
0.000018     6987 lcm_comm
0.000018     6988 gcd_monoid.lcm.is_commutative
0.000018     6989 dvd.trans
0.000015     6990 lcm_assoc
0.000015     6991 gcd_monoid.lcm.is_associative
0.000018     6992 finset.lcm
0.000018     6993 multiset.lcm
0.000018     6994 multiset.lcm_zero
0.000019     6995 is_unit
0.000017     6996 units.mul_inv_cancel_left
0.000018     6997 units.coe_dvd
0.000018     6998 is_unit.dvd
0.000018     6999 is_unit_one
0.000018     7000 multiset.lcm_cons
0.000018     7001 multiset.lcm_dvd
0.000018     7002 finset.lcm_dvd_iff
0.000020     7003 finset.lcm_dvd
0.000019     7004 finset.dvd_lcm
0.000018     7005 finset.lcm_mono_fun
0.000018     7006 dfinsupp.pre
0.000017     7007 dfinsupp.pre.to_fun
0.000018     7008 dfinsupp.pre.setoid._proof_1
0.000018     7009 dfinsupp.pre.setoid
0.000018     7010 dfinsupp
0.000018     7011 pi.has_zero
0.000017     7012 multiset.has_emptyc
0.000018     7013 dfinsupp.has_zero._proof_1
0.000019     7014 dfinsupp.has_zero
0.000017     7015 dfinsupp.pre.pre_support
0.000019     7016 dfinsupp.pre.zero
0.000018     7017 dfinsupp.zip_with._proof_1
0.000018     7018 dfinsupp.zip_with._proof_2
0.000018     7019 dfinsupp.zip_with
0.000018     7020 dfinsupp.has_add._proof_1
0.000017     7021 dfinsupp.has_add
0.000018     7022 dfinsupp.has_coe_to_fun._proof_1
0.000018     7023 dfinsupp.has_coe_to_fun
0.000018     7024 dfinsupp.coe_fn_injective
0.000018     7025 dfinsupp.ext
0.000018     7026 dfinsupp.zip_with_apply
0.000018     7027 dfinsupp.add_apply
0.000017     7028 dfinsupp.zero_apply
0.000018     7029 dfinsupp.add_zero_class._proof_1
0.000018     7030 dfinsupp.add_zero_class._proof_2
0.000018     7031 dfinsupp.add_zero_class
0.000018     7032 dfinsupp.map_range._proof_1
0.000017     7033 dfinsupp.map_range._proof_2
0.000018     7034 dfinsupp.map_range
0.000018     7035 dfinsupp.map_range.add_monoid_hom._proof_1
0.000018     7036 dfinsupp.map_range_apply
0.000018     7037 dfinsupp.coe_zero
0.114402     7038 pi.zero_apply
0.000063     7039 dfinsupp.map_range_zero
0.000024     7040 dfinsupp.map_range.add_monoid_hom._proof_2
0.000015     7041 pi.has_add
0.000015     7042 dfinsupp.coe_add
0.000015     7043 pi.add_apply
0.000015     7044 dfinsupp.map_range_add
0.000015     7045 dfinsupp.map_range.add_monoid_hom._proof_3
0.000022     7046 dfinsupp.map_range.add_monoid_hom
0.000020     7047 add_monoid_hom.id._proof_1
0.000018     7048 add_monoid_hom.id._proof_2
0.000018     7049 add_monoid_hom.id
0.000016     7050 opt_param
0.000016     7051 id.def
0.000015     7052 dfinsupp.map_range_id
0.000017     7053 dfinsupp.map_range.add_monoid_hom_id
0.000019     7054 finsupp
0.000018     7055 set.inj_on
0.000018     7056 finsupp.support
0.000018     7057 set.finite
0.000018     7058 list.pairwise_map
0.000019     7059 list.pairwise_map_of_pairwise
0.000018     7060 list.pairwise.iff_of_mem
0.000018     7061 list.pairwise.and_mem
0.000018     7062 list.nodup_map_on
0.000018     7063 multiset.nodup_map_on
0.000018     7064 multiset.nodup_map
0.000018     7065 set.to_finset._proof_1
0.000018     7066 set.to_finset
0.000018     7067 set.finite.fintype
0.000018     7068 set.finite.to_finset
0.000019     7069 set.finite_of_finite_image
0.000018     7070 and_iff_right_of_imp
0.000018     7071 and_iff_right_iff_imp
0.000018     7072 set.inter_eq_right_iff_subset
0.000018     7073 set.inter_eq_self_of_subset_right
0.000018     7074 set.fintype_subset._proof_1
0.000019     7075 quot.rec_on
0.000018     7076 list.pmap._main
0.000018     7077 list.pmap
0.000021     7078 list.pmap._main.equations._eqn_1
0.000027     7079 list.pmap.equations._eqn_1
0.000019     7080 list.pmap._main._proof_1
0.000018     7081 list.pmap._main._proof_2
0.000018     7082 list.pmap._main.equations._eqn_2
0.000019     7083 list.pmap.equations._eqn_2
0.000018     7084 list.perm.pmap
0.000018     7085 multiset.pmap._proof_1
0.000018     7086 multiset.pmap
0.000018     7087 fintype.subtype._proof_1
0.000018     7088 list.attach._proof_1
0.000018     7089 list.attach
0.000018     7090 list.attach.equations._eqn_1
0.000019     7091 list.map_pmap
0.000018     7092 list.pmap_congr
0.000018     7093 list.pmap_eq_map_attach
0.000018     7094 list.nodup_map
0.000016     7095 list.pmap_eq_map
0.000015     7096 list.map_id
0.000017     7097 list.attach_map_val
0.000018     7098 list.pairwise_of_pairwise_map
0.000018     7099 list.nodup_of_nodup_map
0.000018     7100 list.nodup_attach
0.000018     7101 list.nodup_pmap
0.000018     7102 multiset.nodup_pmap
0.000018     7103 fintype.subtype._proof_2
0.000018     7104 list.mem_attach
0.000018     7105 list.mem_pmap
0.000018     7106 multiset.mem_pmap
0.000018     7107 fintype.subtype._match_1
0.000018     7108 fintype.subtype._proof_3
0.000018     7109 fintype.subtype
0.000018     7110 fintype.of_finset
0.000018     7111 finset.filter._proof_1
0.000018     7112 finset.filter
0.000018     7113 finset.mem_filter
0.000018     7114 list.map_congr
0.000018     7115 multiset.map_congr
0.000018     7116 subtype.val_eq_coe
0.000018     7117 set.to_finset.equations._eqn_1
0.000018     7118 finset.mem_mk
0.000019     7119 finset.mem_univ_val
0.000017     7120 set.mem_to_finset
0.000019     7121 set.mem_sep_eq
0.000018     7122 set.fintype_sep._proof_1
0.000018     7123 set.fintype_sep
0.000018     7124 set.fintype_inter
0.000018     7125 set.fintype_subset
0.000018     7126 classical.dec_pred
0.000018     7127 set.finite.subset
0.000018     7128 set.image_subset_iff
0.000018     7129 set.image_preimage_subset
0.000018     7130 set.finite.preimage
0.000018     7131 set.finite_mem_finset
0.000018     7132 finset.finite_to_set
0.000018     7133 finset.preimage._proof_1
0.000018     7134 finset.preimage
0.000019     7135 finsupp.to_fun
0.000017     7136 finsupp.has_coe_to_fun
0.000019     7137 set.finite.mem_to_finset
0.000018     7138 finset.mem_preimage
0.000018     7139 finsupp.mem_support_to_fun
0.000018     7140 finsupp.comap_domain._proof_1
0.000018     7141 finsupp.comap_domain
0.000018     7142 finsupp.comap_domain.equations._eqn_1
0.000018     7143 int.add_neg_cancel_right
0.000018     7144 int.add_lt_add_left
0.000018     7145 int.add_lt_add_right
0.000018     7146 int.sub_left_lt_of_lt_add
0.000018     7147 equiv.perm
0.000019     7148 equiv.refl._proof_1
0.000017     7149 equiv.refl._proof_2
0.000019     7150 equiv.refl
0.000017     7151 function.left_inverse.comp
0.000019     7152 equiv.trans._proof_1
0.000018     7153 function.right_inverse.comp
0.000018     7154 equiv.trans._proof_2
0.000018     7155 equiv.trans
0.000018     7156 equiv_functor
0.000018     7157 equiv_functor.map
0.000018     7158 equiv.cases_on
0.000018     7159 equiv.no_confusion_type
0.000018     7160 equiv.no_confusion
0.000018     7161 equiv.mk.inj
0.000018     7162 equiv.mk.inj_eq
0.000018     7163 function.right_inverse.comp_eq_id
0.000018     7164 function.comp.right_id
0.000018     7165 function.comp.assoc
0.000018     7166 function.left_inverse.comp_eq_id
0.000018     7167 function.comp.left_id
0.000020     7168 function.left_inverse.eq_right_inverse
0.000025     7169 equiv.coe_fn_injective
0.000019     7170 equiv.ext
0.000017     7171 equiv.coe_trans
0.000019     7172 equiv.symm_apply_apply
0.000017     7173 equiv.symm_comp_self
0.145660     7174 equiv.coe_refl
0.000074     7175 equiv.trans_symm
0.000024     7176 equiv_functor.map_refl
0.000015     7177 equiv_functor.map_trans
0.000015     7178 equiv_functor.map_equiv._proof_1
0.000015     7179 equiv.apply_symm_apply
0.000015     7180 equiv.self_comp_symm
0.000015     7181 equiv.symm_trans
0.000014     7182 equiv_functor.map_equiv._proof_2
0.000015     7183 equiv_functor.map_equiv
0.000017     7184 functor
0.000019     7185 functor.map_const
0.000018     7186 functor.map
0.000016     7187 is_lawful_functor
0.000015     7188 is_lawful_functor.id_map
0.000015     7189 equiv_functor.of_is_lawful_functor._proof_1
0.000018     7190 is_lawful_functor.comp_map
0.000018     7191 equiv_functor.of_is_lawful_functor._proof_2
0.000018     7192 equiv_functor.of_is_lawful_functor
0.000019     7193 has_pure
0.000018     7194 has_seq
0.000015     7195 has_seq_left
0.000019     7196 has_seq_right
0.000016     7197 applicative
0.000018     7198 traversable
0.000017     7199 traversable.to_functor
0.000018     7200 applicative.to_functor
0.000016     7201 has_bind
0.000015     7202 monad
0.000017     7203 monad.to_applicative
0.000018     7204 option.monad
0.000018     7205 has_pure.pure
0.000018     7206 applicative.to_has_pure
0.000018     7207 option.traverse._main
0.000018     7208 option.traverse
0.000017     7209 option.traversable
0.000018     7210 traversable.traverse
0.000018     7211 id_bind
0.000018     7212 id.monad
0.000018     7213 id.mk
0.000018     7214 has_seq_left.seq_left
0.000018     7215 applicative.to_has_seq_left
0.000018     7216 has_seq.seq
0.000018     7217 applicative.to_has_seq
0.000017     7218 has_seq_right.seq_right
0.000018     7219 applicative.to_has_seq_right
0.000018     7220 is_lawful_applicative
0.000018     7221 functor.comp
0.000018     7222 functor.comp.mk
0.000018     7223 functor.comp.map._main
0.000018     7224 functor.comp.map
0.000018     7225 functor.comp.has_pure
0.000018     7226 functor.comp.seq._main
0.000018     7227 functor.comp.seq
0.000018     7228 functor.comp.applicative
0.000017     7229 applicative_transformation
0.000019     7230 applicative_transformation.app
0.000017     7231 applicative_transformation.has_coe_to_fun
0.000018     7232 is_lawful_traversable
0.000018     7233 is_lawful_traversable.to_is_lawful_functor
0.000018     7234 is_lawful_applicative.to_is_lawful_functor
0.000018     7235 has_bind.bind
0.000018     7236 monad.to_has_bind
0.000018     7237 is_lawful_monad
0.000018     7238 is_lawful_monad.to_is_lawful_applicative
0.000018     7239 option.is_lawful_monad
0.000018     7240 option.is_lawful_traversable._proof_1
0.000018     7241 option.id_traverse
0.000018     7242 is_lawful_applicative.map_pure
0.000018     7243 functor.comp.functor
0.000018     7244 functor.comp.map_mk
0.000017     7245 functor.map_map
0.000018     7246 option.comp_traverse
0.000018     7247 option.traverse_eq_map_id
0.000018     7248 applicative_transformation.preserves_pure'
0.000018     7249 applicative_transformation.preserves_pure
0.000018     7250 is_lawful_applicative.pure_seq_eq_map
0.000018     7251 applicative_transformation.preserves_seq'
0.000019     7252 applicative_transformation.preserves_seq
0.000018     7253 applicative_transformation.preserves_map
0.000018     7254 option.naturality
0.000018     7255 option.is_lawful_traversable
0.000018     7256 equiv.injective
0.000018     7257 option.not_is_some_iff_eq_none
0.000018     7258 _private.3310278691.remove_none_aux._proof_1
0.000017     7259 _private.3310278691.remove_none_aux
0.000018     7260 option.some_injective
0.000018     7261 _private.3310278691.remove_none_aux.equations._eqn_1
0.000018     7262 equiv.apply_eq_iff_eq
0.000018     7263 _private.1660657303.remove_none_aux_none
0.000018     7264 equiv.symm_apply_eq
0.000018     7265 equiv.eq_symm_apply
0.000018     7266 option.is_some._main.equations._eqn_1
0.000018     7267 option.is_some.equations._eqn_1
0.000018     7268 option.is_some._main.equations._eqn_2
0.000018     7269 option.is_some.equations._eqn_2
0.000017     7270 option.is_some_iff_exists
0.000019     7271 _private.77680175.remove_none_aux_some
0.000017     7272 _private.4171312357.remove_none_aux_inv
0.000018     7273 equiv.remove_none._proof_1
0.000018     7274 equiv.remove_none
0.000018     7275 equiv.trans_assoc
0.000018     7276 equiv.perm.perm_group._proof_1
0.000018     7277 equiv.trans_refl
0.000018     7278 equiv.refl_trans
0.000018     7279 equiv.perm.perm_group._proof_2
0.000018     7280 equiv.perm.perm_group._proof_3
0.000018     7281 equiv.perm.perm_group._proof_4
0.000017     7282 equiv.perm.perm_group._proof_5
0.000018     7283 equiv.perm.perm_group._proof_6
0.000018     7284 equiv.perm.perm_group._proof_7
0.000018     7285 equiv.perm.perm_group
0.000018     7286 equiv.swap_core
0.000018     7287 equiv.swap_core.equations._eqn_1
0.000024     7288 equiv.swap_core_swap_core
0.000025     7289 equiv.swap._proof_1
0.000019     7290 equiv.swap._proof_2
0.000018     7291 equiv.swap
0.000018     7292 equiv_functor.map_equiv_apply
0.000018     7293 equiv.perm.coe_mul
0.000018     7294 equiv.swap_core_self
0.000016     7295 equiv.swap_self
0.000017     7296 equiv.swap_apply_def
0.728289     7297 equiv.swap_apply_right
0.000075     7298 equiv.remove_none_none
0.000025     7299 equiv.swap_apply_left
0.000015     7300 equiv.remove_none_some
0.000015     7301 equiv.swap_apply_of_ne_of_ne
0.000015     7302 map_equiv_remove_none
0.000015     7303 quaternion_algebra
0.000014     7304 quaternion
0.000016     7305 complex
0.000014     7306 complex.re
0.000018     7307 complex.im
0.000018     7308 quaternion.has_coe
0.000016     7309 complex.has_coe
0.000015     7310 complex.has_one
0.000018     7311 quaternion_algebra.re
0.000016     7312 quaternion_algebra.im_i
0.000017     7313 quaternion_algebra.im_j
0.000018     7314 quaternion_algebra.im_k
0.000067     7315 quaternion_algebra.has_add
0.000017     7316 quaternion_algebra.cases_on
0.000015     7317 quaternion_algebra.ext
0.000015     7318 quaternion_algebra.has_add_add_re
0.000015     7319 tactic.ring_exp.add_pf_sum_lt
0.000015     7320 pow_one
0.000015     7321 tactic.ring_exp.atom_to_sum_pf
0.000018     7322 tactic.ring_exp.add_pf_z_sum
0.000018     7323 quaternion_algebra.has_add_add_im_i
0.000016     7324 quaternion_algebra.has_add_add_im_j
0.000015     7325 quaternion_algebra.has_add_add_im_k
0.000014     7326 quaternion_algebra.ring._proof_1
0.000017     7327 quaternion_algebra.has_zero
0.000016     7328 quaternion_algebra.has_zero_zero_re
0.000018     7329 quaternion_algebra.has_zero_zero_im_i
0.000018     7330 quaternion_algebra.has_zero_zero_im_j
0.000018     7331 quaternion_algebra.has_zero_zero_im_k
0.000018     7332 quaternion_algebra.ring._proof_2
0.000018     7333 quaternion_algebra.ring._proof_3
0.000018     7334 quaternion_algebra.ring._proof_4
0.000017     7335 quaternion_algebra.ring._proof_5
0.000018     7336 quaternion_algebra.has_neg
0.000018     7337 quaternion_algebra.has_sub
0.000018     7338 quaternion_algebra.has_sub_sub_re
0.000018     7339 quaternion_algebra.has_neg_neg_re
0.000018     7340 tactic.ring_exp.sub_pf
0.000018     7341 tactic.ring_exp.negate_pf
0.000018     7342 tactic.ring_exp.mul_pf_sum
0.000018     7343 tactic.ring_exp.add_pf_sum_z
0.000018     7344 tactic.ring_exp.mul_p_pf_sum
0.000018     7345 tactic.ring_exp.prod_to_sum_pf
0.000017     7346 tactic.ring_exp.mul_pf_c_prod
0.000018     7347 tactic.ring_exp.mul_pf_c_c
0.000018     7348 tactic.ring_exp.mul_coeff_pf_mul_one
0.000018     7349 tactic.ring_exp.mul_p_pf_zero
0.000017     7350 tactic.ring_exp.mul_pf_zero
0.000018     7351 quaternion_algebra.has_sub_sub_im_i
0.000018     7352 quaternion_algebra.has_neg_neg_im_i
0.000018     7353 quaternion_algebra.has_sub_sub_im_j
0.000018     7354 quaternion_algebra.has_neg_neg_im_j
0.000018     7355 quaternion_algebra.has_sub_sub_im_k
0.000018     7356 quaternion_algebra.has_neg_neg_im_k
0.000018     7357 quaternion_algebra.ring._proof_6
0.000018     7358 quaternion_algebra.ring._proof_7
0.000018     7359 tactic.ring_exp.add_pf_sum_gt
0.000018     7360 quaternion_algebra.ring._proof_8
0.000017     7361 quaternion_algebra.has_mul
0.000018     7362 quaternion_algebra.has_mul_mul_re
0.000018     7363 quaternion_algebra.has_mul_mul_im_i
0.000018     7364 quaternion_algebra.has_mul_mul_im_j
0.000018     7365 quaternion_algebra.has_mul_mul_im_k
0.000018     7366 tactic.ring_exp.mul_pp_pf_prod_lt
0.000017     7367 tactic.ring_exp.mul_coeff_pf_one_mul
0.000018     7368 tactic.ring_exp.mul_pp_pf_prod_gt
0.000018     7369 tactic.ring_exp.mul_pf_prod_c
0.000018     7370 norm_num.mul_neg_neg
0.000018     7371 quaternion_algebra.ring._proof_9
0.000017     7372 quaternion_algebra.has_one
0.000018     7373 quaternion_algebra.has_one_one_re
0.000018     7374 quaternion_algebra.has_one_one_im_i
0.000018     7375 quaternion_algebra.has_one_one_im_j
0.000018     7376 quaternion_algebra.has_one_one_im_k
0.000018     7377 quaternion_algebra.ring._proof_10
0.000017     7378 quaternion_algebra.ring._proof_11
0.000018     7379 quaternion_algebra.ring._proof_12
0.000018     7380 quaternion_algebra.ring._proof_13
0.000018     7381 quaternion_algebra.ring._proof_14
0.000018     7382 quaternion_algebra.ring._proof_15
0.000015     7383 quaternion_algebra.ring
0.000015     7384 quaternion.ring
0.000017     7385 quaternion.coe_complex_one
0.000018     7386 monoid_hom
0.000018     7387 pi.has_one
0.000018     7388 pi.has_mul
0.000018     7389 pi.mul_one_class._proof_1
0.000018     7390 pi.mul_one_class._proof_2
0.000017     7391 pi.mul_one_class
0.000018     7392 monoid_hom.apply._proof_1
0.000018     7393 monoid_hom.apply._proof_2
0.000018     7394 monoid_hom.apply
0.000017     7395 nat.mul_le_mul_right
0.000018     7396 fin_prod_fin_equiv._proof_1
0.000018     7397 fin_prod_fin_equiv._proof_2
0.000018     7398 fin_prod_fin_equiv._proof_3
0.000018     7399 fin_prod_fin_equiv._proof_4
0.000017     7400 prod.mk.eta
0.000018     7401 prod.no_confusion_type
0.000018     7402 prod.no_confusion
0.000018     7403 prod.mk.inj
0.000017     7404 eq_true_of_and_eq_true_right
0.000018     7405 and_eq_of_eq_true_right
0.000018     7406 prod.mk.inj_iff
0.000017     7407 prod.ext_iff
0.000018     7408 prod.ext
0.000018     7409 fin.eq_of_veq
0.155093     7410 fin_prod_fin_equiv._match_1
0.000069     7411 fin_prod_fin_equiv._proof_5
0.000024     7412 fin_prod_fin_equiv._proof_6
0.000016     7413 fin_prod_fin_equiv
0.000015     7414 fin_prod_fin_equiv.equations._eqn_1
0.000015     7415 list.sublists_aux._main
0.000014     7416 list.sublists_aux
0.000015     7417 multiset.powerset_aux
0.000015     7418 list.sublists'_aux._main
0.000015     7419 list.sublists'_aux
0.000018     7420 list.sublists'
0.000018     7421 multiset.powerset_aux'
0.000016     7422 list.sublists
0.000015     7423 multiset.powerset_aux.equations._eqn_1
0.000017     7424 list.sublists.equations._eqn_1
0.000019     7425 multiset.coe_nil_eq_zero
0.000016     7426 list.sublists_aux₁._main
0.000017     7427 list.sublists_aux₁
0.000018     7428 list.sublists_aux₁._main.equations._eqn_2
0.000016     7429 list.sublists_aux₁.equations._eqn_2
0.000015     7430 list.sublists_aux._main.equations._eqn_2
0.000015     7431 list.sublists_aux.equations._eqn_2
0.000017     7432 list.sublists_aux₁_eq_sublists_aux
0.000015     7433 list.sublists_aux_cons_eq_sublists_aux₁
0.000019     7434 list.join._main
0.000018     7435 list.join
0.000016     7436 list.bind
0.000014     7437 list.ret
0.000015     7438 list.bind.equations._eqn_1
0.000015     7439 list.join._main.equations._eqn_1
0.000017     7440 list.join.equations._eqn_1
0.000016     7441 list.join._main.equations._eqn_2
0.000015     7442 list.join.equations._eqn_2
0.000017     7443 list.bind_ret_eq_map
0.000016     7444 list.cons_bind
0.000015     7445 list.append_bind
0.000019     7446 list.bind_append
0.000015     7447 list.sublists_aux₁_bind
0.000019     7448 multiset.powerset_aux_eq_map_coe
0.000018     7449 list.sublists'.equations._eqn_1
0.000018     7450 list.sublists'_aux._main.equations._eqn_2
0.000018     7451 list.sublists'_aux.equations._eqn_2
0.000019     7452 list.map_sublists'_aux
0.000017     7453 list.sublists'_aux_append
0.000018     7454 list.sublists'_aux_eq_sublists'
0.000021     7455 list.sublists'_cons
0.000026     7456 list.sublists_aux_eq_foldr.aux
0.000020     7457 list.sublists_aux_eq_foldr
0.000018     7458 list.sublists_aux_cons_cons
0.000019     7459 list.foldr_nil
0.000018     7460 list.map_nil
0.000018     7461 list.sublists_cons_perm_append
0.000018     7462 list.sublists_perm_sublists'
0.000018     7463 multiset.powerset_aux_perm_powerset_aux'
0.000018     7464 multiset.powerset_aux'_nil
0.000018     7465 multiset.powerset_aux'.equations._eqn_1
0.000018     7466 list.map_map
0.000018     7467 multiset.powerset_aux'_cons
0.000019     7468 multiset.cons_swap
0.000018     7469 multiset.cons_inj_right
0.000018     7470 multiset.powerset_aux'_perm
0.000018     7471 multiset.powerset_aux_perm
0.000018     7472 multiset.powerset._proof_1
0.000018     7473 multiset.powerset
0.000018     7474 multiset.quot_mk_to_coe
0.000018     7475 multiset.powerset_coe'
0.000019     7476 multiset.mem_coe
0.000017     7477 list.sublists'_nil
0.000019     7478 list.eq_of_mem_singleton
0.000016     7479 list.mem_singleton
0.000015     7480 list.mem_sublists'
0.000017     7481 list.subperm.equations._eqn_1
0.000019     7482 list.inhabited
0.000018     7483 multiset.mem_powerset
0.000018     7484 finset.powerset._proof_1
0.000018     7485 multiset.nodup_of_nodup_map
0.000018     7486 multiset.coe_map
0.000018     7487 multiset.powerset_coe
0.000018     7488 list.sublist.map
0.000018     7489 list.reverse_rec_on._proof_1
0.000018     7490 list.reverse_rec_on._proof_2
0.000018     7491 list.reverse_rec_on
0.000018     7492 list.monad
0.000018     7493 list.traverse._main
0.000018     7494 list.traverse
0.000018     7495 list.traversable
0.000018     7496 list.sublists_aux₁._main.equations._eqn_1
0.000018     7497 list.sublists_aux₁.equations._eqn_1
0.000018     7498 list.sublists_aux₁_append
0.000018     7499 list.bind_eq_bind
0.000018     7500 list.sublists_aux_cons_append
0.000018     7501 list.map_eq_map
0.000018     7502 list.map_id'
0.000018     7503 list.sublists_append
0.000018     7504 list.sublists_singleton
0.000018     7505 list.nil_bind
0.000018     7506 list.sublists_concat
0.000018     7507 list.sublist_append_of_sublist_left
0.000018     7508 list.sublist.append_right
0.000021     7509 list.sublist.reverse
0.000027     7510 list.reverse_sublist_iff
0.000019     7511 list.sublists_reverse
0.000018     7512 list.sublists_eq_sublists'
0.000018     7513 list.sublists'_reverse
0.000018     7514 list.mem_map_of_injective
0.000018     7515 list.reverse_involutive
0.000018     7516 list.reverse_injective
0.000018     7517 list.mem_sublists
0.000018     7518 list.append_sublist_append_right
0.000018     7519 list.map_ret_sublist_sublists
0.000018     7520 multiset.map_single_le_powerset
0.000019     7521 multiset.coe_nodup
0.000018     7522 list.nodup.sublist_ext
0.000018     7523 list.sublists'_eq_sublists
0.000018     7524 list.nodup_map_iff
0.000018     7525 list.lex
0.000018     7526 list.reverse_inj
0.000018     7527 list.lex.dcases_on
0.000018     7528 list.lex.to_ne
0.000018     7529 list.pairwise_sublists'
0.000018     7530 list.mem_reverse
0.000018     7531 list.pairwise_reverse
0.144251     7532 list.pairwise_sublists
0.000073     7533 list.nodup_sublists
0.000024     7534 list.nodup_reverse
0.000016     7535 list.nodup_sublists'
0.000015     7536 multiset.nodup_powerset
0.000015     7537 finset.powerset._proof_2
0.000014     7538 finset.powerset
0.000015     7539 finset.has_decidable_eq._main
0.000015     7540 finset.has_decidable_eq
0.000015     7541 multiset.nodup_erase_of_nodup
0.000020     7542 finset.erase._proof_1
0.000018     7543 finset.erase
0.000016     7544 finset.powerset.equations._eqn_1
0.000015     7545 finset.no_confusion_type
0.000015     7546 finset.no_confusion
0.000017     7547 finset.mk.inj
0.000016     7548 finset.mk.inj_eq
0.000018     7549 finset.mem_powerset
0.000015     7550 list.nodup_erase_eq_filter
0.000020     7551 multiset.nodup_erase_eq_filter
0.000019     7552 multiset.mem_erase_iff_of_nodup
0.000016     7553 finset.mem_erase
0.000018     7554 finset.subset_insert_iff
0.000018     7555 dec_em
0.000018     7556 finset.insert_erase
0.000016     7557 multiset.erase_subset
0.000015     7558 finset.erase_subset
0.000014     7559 finset.erase_insert_subset
0.000018     7560 finset.erase_eq_of_not_mem
0.000015     7561 finset.ne_insert_of_not_mem
0.000019     7562 finset.powerset_insert
0.000018     7563 finset.prod_union_inter
0.000018     7564 finset.prod_union
0.000018     7565 finset.disjoint_iff_ne
0.000018     7566 finset.not_mem_of_mem_powerset_of_not_mem
0.000018     7567 list.pw_filter_eq_self
0.000018     7568 list.erase_dup_eq_self
0.000023     7569 multiset.erase_dup_eq_self
0.000023     7570 finset.image_val_of_inj_on
0.000019     7571 multiset.map_map
0.000018     7572 finset.fold_image
0.000030     7573 finset.prod_image
0.000017     7574 and.imp_right
0.000019     7575 and_or_distrib_left
0.000019     7576 and.elim
0.000018     7577 not_and_self
0.000018     7578 finset.erase_insert
0.000018     7579 finset.prod_powerset_insert
0.000018     7580 measurable_space
0.000016     7581 set.Ici
0.000014     7582 filter.at_top
0.000018     7583 has_sum
0.000017     7584 summable
0.000018     7585 tsum
0.000018     7586 topological_space.generate_open
0.000018     7587 topological_space.generate_from
0.000018     7588 preorder.topology
0.000018     7589 ennreal.topological_space
0.000018     7590 measure_theory.outer_measure
0.000018     7591 measurable_space.measurable_set'
0.000018     7592 measurable_set
0.000018     7593 pairwise
0.000018     7594 function.on_fun
0.000029     7595 measure_theory.outer_measure.measure_of
0.000020     7596 t2_space
0.000018     7597 filter.has_basis.inf
0.000019     7598 filter.has_basis.inf_basis_ne_bot_iff
0.000018     7599 filter.has_basis.inf_ne_bot_iff
0.000018     7600 filter.inf_ne_bot_iff
0.000018     7601 t2_space.t2
0.000018     7602 eq_of_nhds_ne_bot
0.000019     7603 ne_bot_of_le_ne_bot
0.000018     7604 filter.ne_bot.mono
0.000018     7605 filter.ne_bot_of_le
0.000018     7606 is_least.unique
0.000018     7607 is_lub.unique
0.000017     7608 set.ball_image_of_ball
0.000018     7609 monotone.mem_upper_bounds_image
0.000018     7610 galois_connection.upper_bounds_l_image_subset
0.000018     7611 galois_connection.is_lub_l_image
0.000018     7612 galois_connection.l_bot
0.000018     7613 filter.map_bot
0.000018     7614 filter.map_eq_bot_iff
0.000018     7615 filter.map_ne_bot_iff
0.000018     7616 filter.ne_bot.map
0.000018     7617 filter.map_ne_bot
0.000018     7618 tendsto_nhds_unique
0.000018     7619 filter.has_basis_infi_principal
0.000018     7620 set.mem_Ici
0.000018     7621 set.left_mem_Ici
0.000018     7622 set.Ici_subset_Ici
0.000018     7623 filter.at_top_basis
0.000018     7624 set.nonempty_Ici
0.000018     7625 filter.at_top_ne_bot
0.000018     7626 has_sum.unique
0.000018     7627 tsum.equations._eqn_1
0.000018     7628 summable.has_sum
0.000018     7629 has_sum.tsum_eq
0.000018     7630 has_sum.equations._eqn_1
0.000018     7631 all_mem_nhds
0.000018     7632 all_mem_nhds_filter
0.000018     7633 tendsto_nhds
0.000018     7634 tendsto_const_nhds
0.000018     7635 has_sum_zero
0.000018     7636 tsum_zero
0.000017     7637 t1_space
0.000019     7638 regular_space
0.000017     7639 set.eq_empty_of_subset_empty
0.000019     7640 regular_space.t2_space._match_1
0.000017     7641 regular_space.t2_space._match_2
0.000019     7642 regular_space.t2_space._match_3
0.000018     7643 regular_space.t2_space._match_4
0.000018     7644 regular_space.regular
0.000018     7645 t1_space.t1
0.000018     7646 is_closed_singleton
0.000017     7647 regular_space.to_t1_space
0.000019     7648 regular_space.t2_space
0.000017     7649 set.Iio
0.000018     7650 order_topology
0.000018     7651 is_open_iff_forall_mem_open
0.000018     7652 t2_space.t1_space._match_1
0.000018     7653 t2_separation
0.000018     7654 set.mem_singleton_of_eq
0.000018     7655 t2_space.t1_space
0.000018     7656 Prop.linear_order._proof_1
0.000018     7657 Prop.linear_order._proof_2
0.000018     7658 Prop.linear_order._proof_3
0.000018     7659 Prop.linear_order._proof_4
0.000018     7660 Prop.linear_order._proof_5
0.000018     7661 Prop.linear_order._proof_6
0.000017     7662 Prop.linear_order._proof_7
0.000018     7663 Prop.linear_order._proof_8
0.000018     7664 Prop.linear_order._proof_9
0.000018     7665 Prop.linear_order
0.000018     7666 tmp_order._proof_1
0.484427     7667 tmp_order._proof_2
0.000076     7668 tmp_order._proof_3
0.000025     7669 topological_space.cases_on
0.000016     7670 topological_space_eq
0.000015     7671 complete_lattice_Prop._proof_1
0.000015     7672 complete_lattice_Prop._proof_2
0.000015     7673 complete_lattice_Prop._proof_3
0.000014     7674 complete_lattice_Prop._proof_4
0.000016     7675 complete_lattice_Prop._proof_5
0.000015     7676 complete_lattice_Prop._proof_6
0.000017     7677 complete_lattice_Prop._proof_7
0.000019     7678 complete_lattice_Prop._proof_8
0.000018     7679 complete_lattice_Prop._proof_9
0.000016     7680 complete_lattice_Prop._proof_10
0.000015     7681 complete_lattice_Prop._proof_11
0.000015     7682 complete_lattice_Prop._proof_12
0.000015     7683 complete_lattice_Prop._proof_13
0.000014     7684 complete_lattice_Prop._match_1
0.000017     7685 complete_lattice_Prop._proof_14
0.000018     7686 complete_lattice_Prop._proof_15
0.000016     7687 complete_lattice_Prop._proof_16
0.000015     7688 complete_lattice_Prop
0.000017     7689 tmp_order._proof_4
0.000018     7690 tmp_order
0.000019     7691 mk_of_closure._proof_1
0.000017     7692 mk_of_closure._proof_2
0.000019     7693 mk_of_closure._proof_3
0.000017     7694 mk_of_closure
0.000018     7695 topological_space.generate_open.rec_on
0.000018     7696 _private.1762982821.generate_from_le_iff_subset_is_open
0.000018     7697 gi_generate_from._proof_1
0.000018     7698 gi_generate_from._proof_2
0.000018     7699 gi_generate_from._proof_3
0.000018     7700 mk_of_closure_sets
0.000018     7701 gi_generate_from._proof_4
0.000018     7702 gi_generate_from
0.000018     7703 tmp_complete_lattice
0.000018     7704 topological_space.complete_lattice
0.000018     7705 prod.topological_space
0.000018     7706 order_closed_topology
0.000018     7707 set.prod
0.000018     7708 order_closed_topology.to_t2_space._match_1
0.000018     7709 order_closed_topology.to_t2_space._match_2
0.000017     7710 filter.prod.equations._eqn_1
0.000018     7711 prod.topological_space.equations._eqn_1
0.000018     7712 is_greatest.unique
0.000018     7713 is_glb.unique
0.000018     7714 set.insert
0.000018     7715 set.has_insert
0.000018     7716 monotone.mem_lower_bounds_image
0.000018     7717 galois_connection.lower_bounds_u_image_subset
0.000018     7718 galois_connection.is_glb_u_image
0.000018     7719 set.insert_eq
0.000018     7720 is_lub.union
0.000018     7721 is_glb.union
0.000018     7722 is_least.is_glb
0.000018     7723 set.eq_of_mem_singleton
0.000018     7724 is_greatest_singleton
0.000018     7725 is_least_singleton
0.000017     7726 is_glb_singleton
0.000018     7727 is_glb.insert
0.000018     7728 is_glb_pair
0.000018     7729 set.mem_insert_iff
0.000018     7730 exists_or_distrib
0.000019     7731 set.image_insert_eq
0.000018     7732 set.set_of_eq_eq_singleton
0.000018     7733 set.image_singleton
0.000018     7734 set.image_pair
0.000017     7735 galois_connection.u_inf
0.000018     7736 topological_space.nhds_adjoint._proof_1
0.000018     7737 topological_space.nhds_adjoint._match_1
0.000018     7738 topological_space.nhds_adjoint._proof_2
0.000018     7739 topological_space.nhds_adjoint._match_2
0.000018     7740 topological_space.nhds_adjoint._proof_3
0.000018     7741 topological_space.nhds_adjoint
0.000018     7742 topological_space.partial_order._proof_1
0.000018     7743 topological_space.partial_order._proof_2
0.000018     7744 topological_space.partial_order._proof_3
0.000018     7745 topological_space.partial_order._proof_4
0.000018     7746 topological_space.partial_order
0.000018     7747 supr_congr_Prop
0.000018     7748 infi_congr_Prop
0.000018     7749 le_nhds_iff
0.000018     7750 gc_nhds
0.000018     7751 nhds_inf
0.000018     7752 nhds_prod_eq
0.000018     7753 filter.has_basis.comap
0.000018     7754 filter.has_basis.prod
0.000018     7755 filter.has_basis.prod_nhds
0.000018     7756 prod.exists
0.000018     7757 is_open_prod_iff
0.000018     7758 order_closed_topology.is_closed_le'
0.000018     7759 continuous
0.000018     7760 set.preimage_compl
0.000017     7761 is_closed_compl_iff
0.000018     7762 is_open.is_closed_compl
0.000018     7763 continuous.is_open_preimage
0.000018     7764 continuous_def
0.000018     7765 continuous_iff_is_closed
0.000018     7766 topological_space.coinduced._proof_1
0.000018     7767 topological_space.coinduced._proof_2
0.000018     7768 set.preimage_sUnion
0.000018     7769 topological_space.coinduced._proof_3
0.000029     7770 topological_space.coinduced
0.000019     7771 continuous_iff_coinduced_le
0.000015     7772 continuous_inf_rng
0.000015     7773 continuous_induced_rng
0.000018     7774 continuous.prod_mk
0.000016     7775 is_closed_le_prod
0.000018     7776 is_closed_le
0.000016     7777 continuous_le_dom
0.000017     7778 continuous_inf_dom_right
0.000018     7779 continuous_induced_dom
0.000018     7780 continuous_snd
0.000018     7781 continuous_inf_dom_left
0.000018     7782 continuous_fst
0.000018     7783 _private.1132998013.is_closed_eq_aux
0.000018     7784 order_closed_topology.to_t2_space
2.921684     7785 order_topology.to_order_closed_topology._match_1
0.000078     7786 order_topology.to_order_closed_topology._match_2
0.000024     7787 order_topology.to_order_closed_topology._match_3
0.000016     7788 order_topology.topology_eq_generate_intervals
0.000015     7789 is_open_iff_generate_intervals
0.000015     7790 is_open_gt'
0.000015     7791 is_open_lt'
0.000015     7792 dense_or_discrete
0.000014     7793 order_separated
0.000018     7794 order_topology.to_order_closed_topology
0.000018     7795 ne_iff_lt_or_gt
0.000019     7796 nhds_within_union
0.000016     7797 order_topology.regular_space._match_5
0.000027     7798 set.Ico
0.000022     7799 filter.inf_principal_eq_bot
0.000019     7800 order_topology.regular_space._match_3
0.000018     7801 order_topology.regular_space._match_4
0.000016     7802 set.Ioc
0.000015     7803 order_dual.linear_order._proof_1
0.000015     7804 order_dual.linear_order._proof_2
0.000015     7805 order_dual.linear_order._proof_3
0.000017     7806 order_dual.linear_order._proof_4
0.000016     7807 order_dual.linear_order._proof_5
0.000015     7808 order_dual.linear_order._proof_6
0.000015     7809 order_dual.linear_order._proof_7
0.000017     7810 order_dual.linear_order._proof_8
0.000016     7811 order_dual.linear_order._proof_9
0.000017     7812 order_dual.linear_order
0.000018     7813 set.dual_Ico
0.000018     7814 set.dual_Ioc
0.000018     7815 infi_le_infi_const
0.000017     7816 topological_space.generate_open.drec
0.000018     7817 topological_space.nhds_generate_from
0.000018     7818 le_binfi
0.000018     7819 nhds_eq_order
0.000018     7820 set.Iic
0.000018     7821 set.subset.rfl
0.000018     7822 set.inter_subset_inter_right
0.000017     7823 set.mem_Iic
0.000018     7824 set.right_mem_Iic
0.000018     7825 set.Iic_subset_Iio
0.000018     7826 max_lt
0.000027     7827 set.mem_Iio
0.000022     7828 order.preimage.equations._eqn_1
0.000018     7829 set.Ioi_subset_Ioi
0.000018     7830 set.Ioi_subset_Ioi_iff
0.000018     7831 le_sup_iff
0.000018     7832 is_total.swap
0.000018     7833 order_dual.is_total_le
0.000018     7834 inf_le_iff
0.000018     7835 min_le_iff
0.000018     7836 le_max_iff
0.000018     7837 exists_Ioc_subset_of_mem_nhds'
0.000018     7838 order_dual.topological_space
0.000018     7839 order_dual.order_topology
0.000018     7840 exists_Ico_subset_of_mem_nhds'
0.000017     7841 Exists.snd
0.000018     7842 exists_Ico_subset_of_mem_nhds
0.000018     7843 is_lub_Sup
0.000018     7844 is_lub.Sup_eq
0.000018     7845 Sup_empty
0.000018     7846 set.sUnion_empty
0.000018     7847 is_open_empty
0.000018     7848 nhds_within.equations._eqn_1
0.000018     7849 nhds_within_empty
0.000018     7850 order_topology.regular_space._match_6
0.000018     7851 order_topology.regular_space._match_1
0.000018     7852 order_topology.regular_space._match_2
0.000018     7853 exists_Ioc_subset_of_mem_nhds
0.000018     7854 order_topology.regular_space
0.000018     7855 ennreal.order_topology
0.000017     7856 ennreal.t2_space
0.000018     7857 nonpos_iff_eq_zero
0.000021     7858 measure_theory.outer_measure.of_function._proof_1
0.000029     7859 infi_le_infi2
0.000021     7860 measure_theory.outer_measure.of_function._proof_2
0.000018     7861 ennreal.not_top_le_coe
0.000018     7862 le_of_forall_le_of_dense
0.000019     7863 lt_add_iff_pos_right
0.000018     7864 nnreal.le_of_forall_pos_le_add
0.000018     7865 true_implies_iff
0.000018     7866 ennreal.le_of_forall_pos_le_add
0.000018     7867 encodable
0.000018     7868 nnreal.equations._eqn_1
0.000018     7869 nnreal.pseudo_metric_space._proof_1
0.000018     7870 pseudo_metric_space.induced._proof_1
0.000019     7871 pseudo_metric_space.induced._proof_2
0.000018     7872 pseudo_metric_space.induced._proof_3
0.000018     7873 pseudo_metric_space.induced._proof_4
0.000016     7874 metric.dist_mem_uniformity
0.000018     7875 pseudo_metric_space.induced._match_1
0.000018     7876 pseudo_metric_space.induced._proof_5
0.000019     7877 pseudo_metric_space.induced
0.000018     7878 subtype.psudo_metric_space
0.000018     7879 nnreal.pseudo_metric_space
0.000018     7880 nnreal.topological_space
0.000018     7881 real.add_comm_monoid
0.000018     7882 real.monoid
0.000018     7883 encodable.encode
0.000018     7884 nontrivial_of_lt
0.000018     7885 pow_pos
0.000018     7886 uniform_continuous
0.000018     7887 uniform_space.of_core_eq._proof_1
0.000018     7888 uniform_space.of_core_eq
0.000018     7889 uniform_space.has_Inf._proof_1
0.000018     7890 uniform_space.has_Inf._proof_2
0.000018     7891 filter.lift_mono
0.000018     7892 filter.lift'_mono
0.000018     7893 uniform_space.has_Inf._proof_3
0.000018     7894 uniform_space.has_Inf
0.000019     7895 uniform_space.partial_order._proof_1
0.000026     7896 uniform_space.partial_order._proof_2
0.000019     7897 uniform_space.partial_order._proof_3
0.000015     7898 uniform_space.cases_on
0.000015     7899 uniform_space.mk'
0.000017     7900 iff_iff_eq
0.000019     7901 eq_iff_iff
0.000018     7902 uniform_space.core.cases_on
0.000018     7903 uniform_space.core_eq
0.000018     7904 uniform_space_eq
0.000018     7905 uniform_space.partial_order._proof_4
0.000018     7906 uniform_space.partial_order
2.398372     7907 uniform_space.complete_lattice._proof_1
0.000075     7908 uniform_space.complete_lattice._proof_2
0.000024     7909 uniform_space.complete_lattice._proof_3
0.000016     7910 uniform_space.complete_lattice._proof_4
0.000015     7911 _private.3316010141.le_Inf
0.000015     7912 uniform_space.complete_lattice._match_1
0.000015     7913 uniform_space.complete_lattice._proof_5
0.000015     7914 uniform_space.complete_lattice._match_2
0.000015     7915 uniform_space.complete_lattice._proof_6
0.000014     7916 _private.437975945.Inf_le
0.000018     7917 uniform_space.complete_lattice._proof_7
0.000018     7918 uniform_space.complete_lattice._proof_8
0.000018     7919 uniform_space.complete_lattice._proof_9
0.000016     7920 uniform_space.complete_lattice._proof_10
0.000015     7921 uniform_space.has_top._proof_1
0.000015     7922 uniform_space.has_top._proof_2
0.000017     7923 uniform_space.has_top._proof_3
0.000018     7924 uniform_space.has_top
0.000019     7925 uniform_space.complete_lattice._proof_11
0.000016     7926 uniform_space.has_bot._proof_1
0.000015     7927 filter.map_principal
0.000017     7928 set.image_subset_preimage_of_inverse
0.000016     7929 set.preimage_subset_image_of_inverse
0.000018     7930 set.image_eq_preimage_of_inverse
0.000018     7931 prod.swap_swap
0.000018     7932 prod.swap_left_inverse
0.000018     7933 prod.swap_right_inverse
0.000018     7934 set.image_swap_eq_preimage_swap
0.000018     7935 prod.swap_prod_mk
0.000018     7936 swap_id_rel
0.000018     7937 uniform_space.has_bot._proof_2
0.000018     7938 filter.lift_principal
0.000018     7939 filter.lift'_principal
0.000018     7940 mem_comp_rel
0.000018     7941 id_comp_rel
0.000018     7942 uniform_space.has_bot._proof_3
0.000017     7943 is_open_fold
0.000019     7944 discrete_topology
0.000017     7945 discrete_topology.eq_bot
0.000018     7946 is_open_discrete
0.000018     7947 discrete_topology_bot
0.000018     7948 uniform_space.has_bot._proof_4
0.000018     7949 uniform_space.has_bot
0.000018     7950 uniform_space.complete_lattice._proof_12
0.000018     7951 uniform_space.complete_lattice._proof_13
0.000018     7952 uniform_space.complete_lattice._proof_14
0.000018     7953 uniform_space.complete_lattice._proof_15
0.000018     7954 uniform_space.complete_lattice._proof_16
0.000018     7955 uniform_space.complete_lattice
0.000017     7956 Sup_eq_supr
0.000018     7957 Inf_eq_infi
0.000018     7958 le_of_nhds_le_nhds
0.000018     7959 eq_of_nhds_eq_nhds
0.000018     7960 is_glb_Inf
0.000018     7961 is_glb.Inf_eq
0.000018     7962 is_glb.infi_eq
0.000018     7963 Inf_range
0.000016     7964 galois_connection.u_infi
0.000015     7965 nhds_infi
0.000017     7966 nhds_basis_uniformity'
0.000018     7967 nhds_eq_uniformity
0.000018     7968 infi_uniformity
0.000018     7969 plift
0.000018     7970 inf_is_commutative
0.000018     7971 finset.inf._proof_1
0.000018     7972 inf_is_associative
0.000018     7973 finset.inf._proof_2
0.000018     7974 finset.inf
0.000018     7975 plift.down
0.000018     7976 finset.sup_le
0.000018     7977 finset.sup_eq_supr
0.000018     7978 finset.inf_eq_infi
0.000018     7979 infi_eq_infi_finset
0.000018     7980 filter.infi_sets_eq_finite
0.000018     7981 plift.cases_on
0.000017     7982 plift.up_down
0.000018     7983 plift.down_up
0.000018     7984 equiv.plift
0.000018     7985 supr.equations._eqn_1
0.000018     7986 function.surjective.exists
0.000029     7987 function.surjective.range_comp
0.000016     7988 function.surjective.supr_comp
0.000015     7989 function.surjective.infi_comp
0.000026     7990 equiv.surjective
0.000028     7991 filter.infi_sets_eq_finite'
0.000020     7992 filter.mem_infi_finite'
0.000018     7993 function.injective.decidable_eq
0.000018     7994 equiv.decidable_eq
0.000018     7995 plift.decidable_eq
0.000018     7996 is_idempotent
0.000018     7997 finset.insert_idem
0.000018     7998 is_idempotent.idempotent
0.000018     7999 finset.fold_insert_idem
0.000018     8000 sup_idem
0.000018     8001 inf_idem
0.000018     8002 inf_is_idempotent
0.000021     8003 finset.inf_insert
0.000025     8004 filter.infi_sets_induct
0.000019     8005 le_of_inf_eq
0.000018     8006 and_iff_left_of_imp
0.000018     8007 and_iff_left_iff_imp
0.000018     8008 set.inter_eq_left_iff_subset
0.000018     8009 set.inter_eq_self_of_subset_left
0.000018     8010 filter.lift_infi
0.000018     8011 filter.principal_eq_iff_eq
0.000018     8012 filter.lift'_infi
0.000018     8013 infi_of_empty'
0.000018     8014 infi_of_empty
0.000018     8015 to_topological_space_top
0.000018     8016 to_topological_space_infi
0.000018     8017 to_topological_space_Inf
0.000018     8018 infi_or
0.000017     8019 infi_inf_eq
0.000018     8020 infi_union
0.000018     8021 infi_infi_eq_left
0.000018     8022 infi_insert
0.000018     8023 infi_singleton
0.000018     8024 infi_pair
0.000018     8025 to_topological_space_inf
0.000018     8026 to_topological_space_comap
0.000018     8027 uniform_space.core.to_topological_space.equations._eqn_1
0.000018     8028 uniform_space.to_core_to_topological_space
0.000018     8029 prod.uniform_space._proof_1
0.000018     8030 prod.uniform_space
3.259945     8031 uniform_add_group
0.000076     8032 cauchy
0.000024     8033 complete_space
0.000016     8034 set.indicator
0.000015     8035 set.piecewise
0.000015     8036 set.eq_on
0.000015     8037 set.comp_eq_of_eq_on_range
0.000015     8038 set.piecewise_eq_of_mem
0.000015     8039 set.piecewise_eq_on
0.000018     8040 set.piecewise_range_comp
0.000019     8041 set.indicator_range_comp
0.000018     8042 true.dcases_on
0.000016     8043 infi_true
0.000015     8044 filter.has_basis.eq_infi
0.000015     8045 filter.has_basis.map
0.000018     8046 filter.map_at_top_eq
0.000016     8047 finset.le_eq_subset
0.000018     8048 filter.map_at_top_finset_sum_le_of_sum_eq
0.000015     8049 set.inj_on_of_injective
0.000015     8050 function.injective.inj_on
0.000016     8051 finset.sum_image
0.000014     8052 classical.dec_eq
0.000018     8053 finset.sum_sdiff
0.000015     8054 finset.fold_congr
0.000016     8055 finset.sum_congr
0.000015     8056 finset.sum_subset
0.000017     8057 set.inj_on.equations._eqn_1
0.000016     8058 finset.coe_inj
0.000018     8059 set.mem_image_iff_bex
0.000015     8060 finset.coe_image
0.000016     8061 set.coe_to_finset
0.000017     8062 set.finite.coe_to_finset
0.000016     8063 finset.coe_preimage
0.000020     8064 set.image_preimage_eq_inter_range
0.000016     8065 finset.coe_filter
0.000017     8066 set.sep_mem_eq
0.000018     8067 finset.image_preimage
0.000019     8068 finset.sum_preimage'
0.000018     8069 multiset.filter_subset
0.000018     8070 finset.filter_subset
0.000016     8071 not_imp_comm
0.000015     8072 finset.sum_filter_of_ne
0.000018     8073 not.imp_symm
0.000018     8074 finset.sum_preimage
0.000018     8075 finset.coe_subset
0.000018     8076 finset.image_subset_iff
0.000018     8077 finset.image_subset_iff_subset_preimage
0.000018     8078 function.injective.map_at_top_finset_sum_eq
0.000019     8079 function.injective.has_sum_iff
0.000018     8080 function.injective.summable_iff
0.000018     8081 set.indicator_of_not_mem
0.000018     8082 cauchy_seq
0.000018     8083 complete_space.complete
0.000018     8084 filter.prod_mono
0.000019     8085 cauchy.mono
0.000018     8086 filter.has_pure._proof_1
0.000018     8087 filter.has_pure._proof_2
0.000018     8088 filter.has_pure
0.000019     8089 set.not_mem_empty
0.000018     8090 filter.pure_ne_bot
0.000018     8091 filter.mem_pure_sets
0.000018     8092 mem_of_nhds
0.000018     8093 pure_le_nhds
0.000018     8094 nhds_ne_bot
0.000018     8095 filter.lift.equations._eqn_1
0.000019     8096 filter.lift_inf
0.000018     8097 filter.le_lift
0.000018     8098 filter.lift_const
0.000018     8099 filter.mem_lift
0.000018     8100 filter.mem_principal_self
0.000018     8101 filter.lift_principal2
0.000018     8102 filter.prod_def
0.000018     8103 filter.functor
0.000019     8104 filter.lift_assoc
0.000018     8105 set.monotone_preimage
0.000018     8106 lift_nhds_left
0.000018     8107 set.preimage_id
0.000018     8108 filter.map_eq_comap_of_inverse
0.000018     8109 prod.swap_swap_eq
0.000019     8110 filter.map_swap_eq_comap_swap
0.000018     8111 uniformity_le_symm
0.000018     8112 uniformity_eq_symm
0.000018     8113 filter.map_lift_eq2
0.000019     8114 lift_nhds_right
0.000018     8115 filter.monotone_lift'
0.000018     8116 monotone_const
0.000018     8117 monotone_lam
0.000018     8118 set.prod_mono
0.000018     8119 set.monotone_prod
0.000018     8120 nhds_nhds_eq_uniformity_uniformity_prod
0.000019     8121 cauchy_nhds
0.000018     8122 cauchy_iff_exists_le_nhds
0.000018     8123 cauchy_map_iff_exists_tendsto
0.000018     8124 summable_iff_cauchy_seq_finset
0.000019     8125 prod.has_le
0.000018     8126 prod.preorder._match_1
0.000018     8127 prod.preorder._proof_1
0.000018     8128 prod.preorder._match_2
0.000018     8129 prod.preorder._match_3
0.000019     8130 prod.preorder._match_4
0.000018     8131 prod.preorder._match_5
0.000018     8132 prod.preorder._match_6
0.000018     8133 prod.preorder._proof_2
0.000018     8134 prod.preorder._proof_3
0.000019     8135 prod.preorder
0.000018     8136 cauchy_seq.equations._eqn_1
0.000018     8137 cauchy.equations._eqn_1
0.000018     8138 filter.inter_mem_inf_sets
0.000019     8139 filter.preimage_mem_comap
0.000018     8140 filter.prod_mem_prod
0.000018     8141 set.subset_preimage_image
0.000018     8142 filter.image_mem_map
0.000019     8143 set.mem_prod
0.000018     8144 exists_and_distrib_right
0.000018     8145 set.prod_image_image_eq
0.000018     8146 filter.mem_prod_iff
0.000018     8147 filter.tendsto_inf_left
0.000018     8148 filter.tendsto_fst
0.000019     8149 filter.tendsto_inf_right
0.000018     8150 filter.tendsto_snd
0.000018     8151 filter.prod_map_map_eq
0.000018     8152 cauchy_map_iff
0.000018     8153 filter.at_top.equations._eqn_1
0.000018     8154 filter.comap_infi
0.000019     8155 set.range_subset_iff
0.000018     8156 set.range_const_subset
0.000018     8157 set.range_const
0.000018     8158 Inf_singleton
0.000018     8159 infi_const
0.000018     8160 infi_inf
0.000019     8161 inf_infi
0.000018     8162 filter.prod_infi_right
0.000018     8163 filter.prod_infi_left
0.000018     8164 filter.prod_principal_principal
0.000018     8165 infi_prod
0.000019     8166 infi_comm
0.000018     8167 filter.filter_eq_bot_of_not_nonempty
0.000018     8168 nonempty_prod
0.000019     8169 filter.comap_bot
2.624803     8170 filter.bot_prod
0.000069     8171 filter.prod_bot
0.000023     8172 filter.prod_at_top_at_top_eq
0.000025     8173 filter.comap_comap
0.000016     8174 filter.mem_map_sets_iff
0.000015     8175 mem_map_sets_iff'
0.000015     8176 filter.tendsto_map'_iff
0.000015     8177 inf_uniformity
0.000015     8178 uniformity_prod
0.000015     8179 filter.comap_inf
0.000015     8180 uniformity_prod_eq_prod
0.000018     8181 uniform_continuous.equations._eqn_1
0.000019     8182 mem_uniformity_of_uniform_continuous_invariant
0.000016     8183 uniform_add_group.uniform_continuous_sub
0.000014     8184 uniform_continuous_sub
0.000018     8185 uniform_continuous.comp
0.000015     8186 uniform_continuous.prod_mk
0.000018     8187 uniform_continuous.sub
0.000018     8188 uniform_continuous_of_const
0.000015     8189 uniform_continuous_const
0.000015     8190 uniform_continuous.neg
0.000015     8191 uniform_continuous.add
0.000017     8192 tendsto_prod_uniformity_fst
0.000019     8193 uniform_continuous_fst
0.000017     8194 tendsto_prod_uniformity_snd
0.000019     8195 uniform_continuous_snd
0.000018     8196 uniform_continuous_add
0.000018     8197 uniformity_eq_comap_nhds_zero
0.000018     8198 prod.has_sup
0.000018     8199 prod.partial_order._proof_1
0.000018     8200 prod.partial_order._proof_2
0.000018     8201 prod.partial_order._proof_3
0.000018     8202 prod.partial_order._match_1
0.000018     8203 prod.partial_order._match_2
0.000018     8204 prod.partial_order._match_3
0.000018     8205 prod.partial_order._match_4
0.000018     8206 prod.partial_order._proof_4
0.000018     8207 prod.partial_order
0.000018     8208 prod.semilattice_sup._proof_1
0.000018     8209 prod.semilattice_sup._proof_2
0.000018     8210 prod.semilattice_sup._proof_3
0.000018     8211 prod.semilattice_sup._proof_4
0.000018     8212 prod.semilattice_sup._proof_5
0.000018     8213 prod.semilattice_sup._proof_6
0.000018     8214 prod.semilattice_sup._proof_7
0.000018     8215 prod.semilattice_sup
0.000018     8216 filter.tendsto_def
0.000018     8217 true.inhabited
0.000018     8218 filter.mem_at_top_sets
0.000019     8219 filter.tendsto_at_top'
0.000017     8220 prod.nonempty
0.000019     8221 disjoint.comm
0.000017     8222 disjoint.symm
0.000019     8223 has_continuous_add
0.000018     8224 topological_add_group
0.000018     8225 filter.has_basis.prod_self
0.000017     8226 filter.mem_prod_self_iff
0.000019     8227 set.mk_mem_prod
0.000018     8228 set.prod_subset_iff
0.000018     8229 continuous_at
0.000018     8230 filter.has_basis.ge_iff
0.000018     8231 filter.has_basis.tendsto_right_iff
0.000018     8232 filter.has_basis.eventually_iff
0.000018     8233 filter.has_basis.tendsto_iff
0.000018     8234 is_open.preimage
0.000018     8235 continuous.tendsto
0.000018     8236 continuous_iff_continuous_at
0.000018     8237 has_continuous_add.continuous_add
0.000018     8238 tendsto_add
0.000018     8239 filter.tendsto.prod_mk_nhds
0.000019     8240 filter.tendsto.add
0.000018     8241 continuous_at.add
0.000018     8242 topological_add_group.to_has_continuous_add
0.000018     8243 continuous.continuous_at
0.000018     8244 continuous_at_fst
0.000018     8245 topological_add_group.continuous_neg
0.000018     8246 filter.tendsto.neg
0.000018     8247 continuous_at_snd
0.000019     8248 exists_nhds_half_neg
0.000017     8249 coinduced_le_iff_le_induced
0.000019     8250 gc_coinduced_induced
0.000017     8251 continuous_iff_le_induced
0.000019     8252 to_nhds_mono
0.000017     8253 to_topological_space_mono
0.000019     8254 uniform_continuous_iff
0.000018     8255 uniform_continuous.continuous
0.000018     8256 filter.map_id
0.000018     8257 filter.tendsto_id'
0.000018     8258 filter.tendsto_id
0.000018     8259 uniform_continuous_id
0.000018     8260 uniform_continuous_neg
0.000018     8261 uniform_add_group.to_topological_add_group
0.000019     8262 cauchy_seq_finset_iff_vanishing
0.000018     8263 summable_iff_vanishing
0.000018     8264 finset.disjoint_of_subset_left
0.000018     8265 summable.summable_of_eq_zero_or_self
0.000018     8266 set.indicator_of_mem
0.000018     8267 set.indicator_eq_zero_or_self
0.000018     8268 summable.indicator
0.000018     8269 summable.comp_injective
0.000018     8270 uniform_add_group.mk'
0.000019     8271 prod.pseudo_metric_space_max._proof_1
0.000018     8272 prod.pseudo_metric_space_max._proof_2
0.000016     8273 prod.pseudo_metric_space_max._proof_3
0.000017     8274 monotone.map_max
0.000018     8275 max_le_max
0.000019     8276 nnreal.of_real_mono
0.000018     8277 nnreal.of_real_le_of_real
0.000018     8278 ennreal.of_real_le_of_real
0.000018     8279 prod.pseudo_metric_space_max._proof_4
0.000018     8280 set.preimage_set_of_eq
0.000019     8281 forall_3_true_iff
0.000018     8282 prod.pseudo_metric_space_max._proof_5
0.000018     8283 prod.pseudo_metric_space_max
0.000018     8284 filter.has_basis.uniform_continuous_iff
0.000018     8285 metric.uniform_continuous_iff
0.000018     8286 real.uniform_continuous_add
0.000018     8287 real.dist_eq
0.000018     8288 real.uniform_continuous_neg
0.000019     8289 real.uniform_add_group
0.000018     8290 set.countable
0.078810     8291 filter.is_countably_generated
0.000068     8292 filter.has_antimono_basis
0.000025     8293 filter.has_antimono_basis.decreasing
0.000015     8294 filter.has_antimono_basis.to_has_basis
0.000015     8295 exists_prop_of_true
0.000015     8296 exists_true_left
0.000015     8297 filter_basis
0.000015     8298 filter_basis.sets
0.000015     8299 filter.countable_filter_basis
0.000019     8300 set.sInter
0.000018     8301 set.fintype_empty._proof_1
0.000016     8302 set.fintype_empty
0.000015     8303 set.finite_empty
0.000018     8304 Inf_empty
0.000016     8305 set.sInter_empty
0.000017     8306 filter.filter_basis.of_sets._proof_1
0.000019     8307 set.fintype_union._proof_1
0.000016     8308 set.fintype_union
0.000015     8309 set.finite.union
0.000015     8310 Inf_union
0.000017     8311 set.sInter_union
0.000016     8312 filter.filter_basis.of_sets._proof_2
0.000019     8313 filter.filter_basis.of_sets
0.000018     8314 filter.is_countably_generated.generating_set
0.000019     8315 filter_basis.nonempty
0.000018     8316 filter.is_countably_generated.countable_filter_basis._proof_1
0.000018     8317 filter_basis.inter_sets
0.000018     8318 filter.is_countably_generated.countable_filter_basis._proof_2
0.000018     8319 encodable.decode
0.000018     8320 encodable.encodek
0.000019     8321 encodable.of_left_injection._proof_1
0.000018     8322 encodable.of_left_injection
0.000018     8323 function.partial_inv
0.000018     8324 function.is_partial_inv
0.000018     8325 option.some.inj_arrow
0.000018     8326 function.partial_inv.equations._eqn_1
0.000018     8327 function.partial_inv_of_injective
0.000018     8328 encodable.of_inj._proof_1
0.000018     8329 encodable.of_inj
0.000018     8330 set.countable.to_encodable
0.000018     8331 function.surj_inv
0.000018     8332 function.right_inverse.left_inverse
0.000018     8333 function.right_inverse.injective
0.000018     8334 function.surj_inv_eq
0.000018     8335 function.right_inverse_surj_inv
0.000018     8336 function.injective_surj_inv
0.000018     8337 set.countable.image
0.000018     8338 function.embedding
0.000024     8339 function.embedding.to_fun
0.000026     8340 set.embedding_of_subset._proof_1
0.000018     8341 set.embedding_of_subset._match_1
0.000018     8342 set.embedding_of_subset._match_2
0.000019     8343 set.embedding_of_subset._proof_2
0.000018     8344 set.embedding_of_subset
0.000018     8345 function.embedding.inj'
0.000018     8346 set.countable.mono
0.000018     8347 function.embedding.has_coe_to_fun
0.000018     8348 finset.map._proof_1
0.000018     8349 finset.map
0.000018     8350 finset.mem_map
0.000019     8351 set.embedding_of_subset_apply
0.000018     8352 subtype.mk.inj_eq
0.000018     8353 encodable.encode_subtype._main
0.000018     8354 encodable.encode_subtype
0.000018     8355 encodable.decode_subtype
0.000018     8356 encodable.encode_subtype._main.equations._eqn_1
0.000018     8357 encodable.encode_subtype.equations._eqn_1
0.000018     8358 encodable.decode_subtype.equations._eqn_1
0.000018     8359 encodable.subtype._match_1
0.000019     8360 encodable.subtype._proof_1
0.000018     8361 encodable.subtype
0.000018     8362 set.countable_encodable
0.000018     8363 set.countable_range
0.000018     8364 encodable.of_left_inverse._proof_1
0.000016     8365 encodable.of_left_inverse
0.000016     8366 encodable.of_equiv
0.000017     8367 nat.mkpair
0.000018     8368 encodable.encode_list._main
0.000018     8369 encodable.encode_list
0.000018     8370 encodable.decode_list._match_1
0.000018     8371 decode_list._main._pack._wf_rec_mk_dec_tactic._aux_1
0.000019     8372 nat.bodd_div2._match_1
0.000017     8373 nat.bodd_div2._main
0.000019     8374 nat.bodd_div2
0.000018     8375 nat.div2
0.000018     8376 nat.shiftr._main
0.000018     8377 nat.shiftr
0.000018     8378 nat.sqrt_aux._match_1
0.000018     8379 sqrt_aux._main._pack._wf_rec_mk_dec_tactic._aux_1
0.000018     8380 sqrt_aux._main._pack._wf_rec_mk_dec_tactic._aux_2
0.000018     8381 nat.bodd
0.000018     8382 bxor._main
0.000018     8383 bxor
0.000018     8384 band._main
0.000018     8385 band
0.000019     8386 nat.bodd_zero
0.000017     8387 bnot._main
0.000019     8388 bnot
0.000018     8389 nat.bodd.equations._eqn_1
0.000018     8390 nat.bodd_div2._main.equations._eqn_2
0.000018     8391 nat.bodd_div2.equations._eqn_2
0.000018     8392 nat.bodd_succ
0.000018     8393 nat.bodd_add
0.000018     8394 nat.bodd_mul
0.000018     8395 bnot._main.equations._eqn_1
0.000018     8396 bnot.equations._eqn_1
0.000018     8397 bnot._main.equations._eqn_2
0.000018     8398 bnot.equations._eqn_2
0.000019     8399 nat.mod_two_eq_zero_or_one
0.000018     8400 nat.mod_two_of_bodd
0.000018     8401 nat.div2.equations._eqn_1
0.000018     8402 nat.div2_succ
0.000018     8403 cond._main.equations._eqn_2
0.000018     8404 cond.equations._eqn_2
0.000018     8405 cond._main.equations._eqn_1
0.000018     8406 cond.equations._eqn_1
0.000018     8407 nat.bodd_add_div2
0.000018     8408 nat.div2_val
0.000019     8409 nat.mul_pos
0.000018     8410 nat.div_div_eq_div_mul
0.000018     8411 nat.shiftr_eq_div_pow
0.000018     8412 nat.le_div_iff_mul_le'
0.209840     8413 nat.div_lt_iff_lt_mul'
0.000076     8414 nat.sqrt_aux_dec
0.000024     8415 nat.sqrt_aux._main._pack
0.000016     8416 nat.sqrt_aux._main
0.000014     8417 nat.sqrt_aux
0.000015     8418 nat.bit
0.000015     8419 nat.shiftl'._main
0.000014     8420 nat.shiftl'
0.000015     8421 nat.shiftl
0.000015     8422 nat.sqrt._match_1
0.000018     8423 nat.bit0_val
0.000019     8424 nat.bit1_val
0.000018     8425 nat.bit_val
0.000016     8426 nat.bit_decomp
0.000015     8427 binary_rec._main._pack._wf_rec_mk_dec_tactic._aux_1
0.000014     8428 nat.binary_rec._main._pack
0.000017     8429 nat.binary_rec._main
0.000016     8430 nat.binary_rec
0.000017     8431 nat.size
0.000018     8432 nat.sqrt
0.000016     8433 nat.unpair
0.000014     8434 nat.mkpair.equations._eqn_1
0.000015     8435 nat.add_sub_cancel'
0.000017     8436 _private.3216647591.is_sqrt
0.000018     8437 nat.sqrt.equations._eqn_1
0.000019     8438 nat.sqrt._match_1.equations._eqn_1
0.000018     8439 nat.shiftl_eq_mul_pow
0.000018     8440 nat.one_shiftl
0.000018     8441 nat.size.equations._eqn_1
0.000018     8442 nat.binary_rec._main._pack._proof_1
0.000017     8443 nat.binary_rec._main._pack._proof_2
0.000018     8444 nat.binary_rec._main._pack.equations._eqn_1
0.000018     8445 nat.binary_rec._main.equations._eqn_1
0.000018     8446 nat.binary_rec.equations._eqn_1
0.000018     8447 cast
0.000018     8448 eq_mpr_eq_cast
0.000018     8449 cast_eq
0.000029     8450 nat.div2_bit
0.000021     8451 nat.size_bit
0.000018     8452 nat.shiftl_succ
0.000018     8453 nat.add_lt_add_right
0.000018     8454 nat.add_lt_add
0.000019     8455 nat.bit0_lt
0.000018     8456 nat.add_le_add
0.000018     8457 nat.bit1_lt_bit0
0.000018     8458 nat.bit_lt_bit0
0.000018     8459 nat.lt_size_self
0.000018     8460 nat.mul_le_mul_of_nonneg_right
0.000018     8461 nat.mul_le_mul_of_nonneg_left
0.000018     8462 nat.mul_le_mul
0.000018     8463 nat.pow_le_pow_of_le_right
0.000018     8464 lt_of_not_ge'
0.000018     8465 lt_imp_lt_of_le_imp_le
0.000018     8466 nat.bit0_le
0.000018     8467 nat.bit0_lt_bit1
0.000018     8468 nat.bit0_le_bit
0.000023     8469 nat.size_le
0.000029     8470 nat.lt_size
0.000018     8471 nat.size_pos
0.000015     8472 nat.size_eq_zero
0.000018     8473 _private.3216647591.is_sqrt.equations._eqn_1
0.000018     8474 nat.sqrt._match_1.equations._eqn_2
0.000018     8475 nat.sqrt_aux._main._pack.equations._eqn_1
0.000018     8476 nat.sqrt_aux._main.equations._eqn_1
0.000018     8477 nat.sqrt_aux.equations._eqn_1
0.000018     8478 int.eq_neg_succ_of_lt_zero
0.000017     8479 add_lt_add_iff_right
0.000018     8480 sub_lt_sub_iff_right
0.000018     8481 sub_lt_zero
0.000019     8482 nat.sqrt_aux._match_1.equations._eqn_2
0.000017     8483 nat.sqrt_aux_2
0.000018     8484 nat.mul_ne_zero
0.000018     8485 nat.le_sub_right_of_add_le
0.000018     8486 nat.le_sub_left_of_add_le
0.000018     8487 nat.lt_add_of_sub_lt_left
0.000018     8488 nat.sub_lt_left_iff_lt_add
0.000018     8489 nat.sub_lt_right_iff_lt_add
0.000018     8490 nat.distrib
0.000018     8491 nat.semigroup
0.000018     8492 nat.mul_div_cancel_left
0.000018     8493 nat.sqrt_aux._match_1.equations._eqn_1
0.000019     8494 nat.sqrt_aux_1
0.000017     8495 nat.sub_eq_of_eq_add
0.000019     8496 linear_ordered_comm_monoid_with_zero.zero
0.000017     8497 linear_ordered_comm_monoid_with_zero.zero_mul
0.000018     8498 linear_ordered_comm_monoid_with_zero.mul_zero
0.000018     8499 linear_ordered_comm_monoid_with_zero.to_comm_monoid_with_zero
0.000018     8500 nat.comm_cancel_monoid_with_zero._proof_1
0.000018     8501 nat.comm_cancel_monoid_with_zero._proof_2
0.000018     8502 nat.comm_cancel_monoid_with_zero._proof_3
0.000018     8503 nat.comm_cancel_monoid_with_zero._proof_4
0.000018     8504 nat.comm_cancel_monoid_with_zero._proof_5
0.000018     8505 nat.comm_cancel_monoid_with_zero._proof_6
0.000018     8506 nat.comm_cancel_monoid_with_zero._proof_7
0.000018     8507 nat.comm_cancel_monoid_with_zero._proof_8
0.000017     8508 nat.comm_cancel_monoid_with_zero._proof_9
0.000019     8509 nat.comm_cancel_monoid_with_zero._proof_10
0.000018     8510 nat.comm_cancel_monoid_with_zero
0.000018     8511 _private.3486962995.sqrt_aux_is_sqrt_lemma
0.000018     8512 nat.zero_shiftr
0.000018     8513 nat.sqrt_aux_0
0.000018     8514 nat.shiftr._main.equations._eqn_2
0.000018     8515 nat.shiftr.equations._eqn_2
0.000017     8516 nat.shiftr._main.equations._eqn_1
0.000018     8517 nat.shiftr.equations._eqn_1
0.000018     8518 nat.mul_div_right
0.000025     8519 _private.2920353739.sqrt_aux_is_sqrt
0.000025     8520 _private.232589461.sqrt_is_sqrt
0.000019     8521 nat.sqrt_le
0.000018     8522 le_imp_le_of_lt_imp_lt
0.000018     8523 nat.lt_of_sub_lt_sub_right
0.000018     8524 nat.add_lt_of_lt_sub_right
0.000018     8525 nat.add_lt_of_lt_sub_left
0.000018     8526 nat.sub_le_left_of_le_add
0.000018     8527 nat.lt_succ_sqrt
0.000018     8528 nat.sqrt_le_add
0.000018     8529 nat.mkpair_unpair
0.000018     8530 nat.le_mul_self
0.000018     8531 nat.le_mkpair_right
0.000023     8532 nat.unpair_le_right
0.000025     8533 encodable.decode_list._main._pack
0.000019     8534 encodable.decode_list._main
0.151169     8535 encodable.decode_list
0.000073     8536 encodable.encode_list._main.equations._eqn_1
0.000024     8537 encodable.encode_list.equations._eqn_1
0.000019     8538 encodable.decode_list._main._pack.equations._eqn_1
0.000021     8539 encodable.decode_list._main.equations._eqn_1
0.000017     8540 encodable.decode_list.equations._eqn_1
0.000016     8541 nat.unpair.equations._eqn_1
0.000014     8542 nat.mul_self_le_mul_self
0.000021     8543 nat.mul_self_lt_mul_self
0.000019     8544 nat.mul_self_le_mul_self_iff
0.000015     8545 nat.mul_self_lt_mul_self_iff
0.000015     8546 nat.le_sqrt
0.000018     8547 nat.sqrt_lt
0.000018     8548 nat.sqrt_add_eq
0.000018     8549 nat.unpair_mkpair
0.000018     8550 encodable.encode_list._main.equations._eqn_2
0.000016     8551 encodable.encode_list.equations._eqn_2
0.000015     8552 encodable.decode_list._main._pack.equations._eqn_2
0.000017     8553 encodable.decode_list._main.equations._eqn_2
0.000019     8554 encodable.decode_list.equations._eqn_2
0.000015     8555 encodable.decode_list._match_1.equations._eqn_1
0.000018     8556 option.map_eq_map
0.000016     8557 option.seq_some
0.000014     8558 encodable.list._proof_1
0.000018     8559 encodable.list
0.000015     8560 is_antisymm
0.000019     8561 list.split._match_1
0.000020     8562 list.split._main
0.000017     8563 list.split
0.000018     8564 prod.mk.inj_arrow
0.000018     8565 list.split._main.equations._eqn_2
0.000018     8566 list.split.equations._eqn_2
0.000018     8567 list.split_cons_of_eq
0.000018     8568 list.length_split_le
0.000018     8569 list.length_split_lt
0.000018     8570 list.sizeof._main
0.000018     8571 list.sizeof
0.000018     8572 list.has_sizeof
0.000017     8573 default.sizeof._main
0.000018     8574 default.sizeof
0.000018     8575 default_has_sizeof
0.000018     8576 list.sizeof._main.equations._eqn_2
0.000018     8577 list.sizeof.equations._eqn_2
0.000018     8578 default.sizeof._main.equations._eqn_1
0.000018     8579 default.sizeof.equations._eqn_1
0.000018     8580 lt_add_iff_pos_left
0.000026     8581 merge._main._pack._wf_rec_mk_dec_tactic._aux_1
0.000019     8582 merge._main._pack._wf_rec_mk_dec_tactic._aux_2
0.000019     8583 list.merge._main._pack
0.000018     8584 list.merge._main
0.000018     8585 list.merge
0.000018     8586 list.merge_sort._main._pack
0.000018     8587 list.merge_sort._main
0.000018     8588 list.merge_sort
0.000018     8589 list.sorted
0.000018     8590 is_antisymm.antisymm
0.000018     8591 antisymm
0.000018     8592 list.length_singleton
0.000018     8593 list.eq_of_perm_of_sorted
0.000018     8594 list.merge_sort._main._pack._proof_1
0.000018     8595 list.merge_sort._main._pack.equations._eqn_3
0.000018     8596 list.merge_sort._main.equations._eqn_3
0.000018     8597 list.merge_sort.equations._eqn_3
0.000018     8598 list.merge_sort_cons_cons
0.000018     8599 list.merge._main._pack.equations._eqn_2
0.000019     8600 list.merge._main.equations._eqn_2
0.000017     8601 list.merge.equations._eqn_2
0.000019     8602 list.merge._main._pack.equations._eqn_3
0.000018     8603 list.merge._main.equations._eqn_3
0.000018     8604 list.merge.equations._eqn_3
0.000018     8605 list.merge._main._pack.equations._eqn_4
0.000018     8606 list.merge._main.equations._eqn_4
0.000017     8607 list.merge.equations._eqn_4
0.000018     8608 list.perm_merge
0.000018     8609 list.perm_split
0.000018     8610 list.perm_merge_sort
0.000018     8611 list.sorted_nil
0.000019     8612 list.sorted_singleton
0.000028     8613 list.sorted_cons
0.000019     8614 list.pairwise_of_pairwise_cons
0.000021     8615 list.sorted_of_sorted_cons
0.000023     8616 or.left_comm
0.000019     8617 list.rel_of_sorted_cons
0.000029     8618 list.sorted.merge
0.000021     8619 list.sorted_merge_sort
0.000016     8620 multiset.sort._proof_1
0.000015     8621 multiset.sort
0.000015     8622 _private.3583951997.enle
0.000018     8623 _private.3583951997.enle.equations._eqn_1
0.000018     8624 _private.4174719113.decidable_enle._proof_1
0.000018     8625 _private.4174719113.decidable_enle
0.000018     8626 is_refl
0.000018     8627 is_preorder
0.000018     8628 is_preorder.to_is_trans
0.000018     8629 is_partial_order
0.000019     8630 is_partial_order.to_is_preorder
0.000018     8631 is_linear_order
0.000018     8632 is_linear_order.to_is_partial_order
0.000018     8633 rel_embedding
0.000021     8634 is_preorder.to_is_refl
0.000027     8635 is_refl.refl
0.000018     8636 rel_embedding.to_embedding
0.000019     8637 rel_embedding.has_coe_to_fun
0.000018     8638 rel_embedding.map_rel_iff'
0.000018     8639 rel_embedding.map_rel_iff
0.000018     8640 refl
0.000018     8641 rel_embedding.is_refl
0.000018     8642 rel_embedding.cases_on
0.000018     8643 is_trans.dcases_on
0.000018     8644 rel_embedding.is_trans
0.000018     8645 rel_embedding.is_preorder
0.000018     8646 is_antisymm.dcases_on
0.000018     8647 rel_embedding.is_antisymm
0.000018     8648 is_partial_order.to_is_antisymm
0.000019     8649 rel_embedding.is_partial_order
0.000017     8650 is_total.dcases_on
0.000018     8651 rel_embedding.is_total
0.307731     8652 is_linear_order.to_is_total
0.000076     8653 rel_embedding.is_linear_order
0.000024     8654 encodable.encode_injective
0.000015     8655 rel_embedding.preimage._proof_1
0.000015     8656 rel_embedding.preimage
0.000015     8657 has_le.le.is_refl
0.000015     8658 has_le.le.is_antisymm
0.000015     8659 has_le.le.is_linear_order
0.000015     8660 _private.1946976957.enle.is_linear_order
0.000015     8661 encodable.encode_multiset._proof_1
0.000017     8662 encodable.encode_multiset._proof_2
0.000018     8663 encodable.encode_multiset._proof_3
0.000016     8664 encodable.encode_multiset
0.000015     8665 encodable.decode_multiset
0.000017     8666 encodable.encode_multiset.equations._eqn_1
0.000019     8667 encodable.decode_multiset.equations._eqn_1
0.000016     8668 multiset.sort_eq
0.000017     8669 encodable.multiset._proof_1
0.000018     8670 encodable.multiset
0.000016     8671 multiset.nodup_decidable._proof_1
0.000015     8672 list.decidable_pairwise
0.000017     8673 list.nodup_decidable
0.000018     8674 multiset.nodup_decidable
0.000016     8675 encodable.decidable_eq_of_encodable._main
0.000014     8676 encodable.decidable_eq_of_encodable
0.000018     8677 encodable.finset._match_1
0.000018     8678 encodable.finset._match_2
0.000015     8679 encodable.finset._match_3
0.000015     8680 encodable.finset._proof_1
0.000015     8681 encodable.finset._match_4
0.000017     8682 encodable.finset._proof_2
0.000016     8683 encodable.finset
0.000018     8684 set.countable_set_of_finite_subset
0.000018     8685 filter.is_countably_generated.countable_generating_set
0.000018     8686 filter.is_countably_generated.countable_filter_basis._proof_3
0.000018     8687 filter.is_countably_generated.countable_filter_basis
0.000018     8688 filter.countable_filter_basis.to_filter_basis
0.000017     8689 filter.countable_filter_basis.countable
0.000018     8690 filter_basis.has_mem
0.000018     8691 filter_basis.filter._match_1
0.000018     8692 filter_basis.filter._proof_1
0.000018     8693 filter_basis.filter._match_2
0.000018     8694 filter_basis.filter._proof_2
0.000018     8695 filter_basis.filter._match_3
0.000017     8696 filter_basis.filter._match_4
0.000018     8697 filter_basis.filter._match_5
0.000018     8698 filter_basis.filter._proof_3
0.000018     8699 filter_basis.filter
0.000018     8700 filter.is_countably_generated.eq_generate
0.000017     8701 filter_basis.mem_filter_iff
0.000018     8702 filter_basis.mem_filter_of_mem
0.000018     8703 filter_basis.generate
0.000018     8704 filter.is_basis
0.000018     8705 filter.is_basis.filter_basis._match_1
0.000018     8706 filter.is_basis.nonempty
0.000018     8707 filter.is_basis.filter_basis._proof_1
0.000017     8708 filter.is_basis.inter
0.000018     8709 filter.is_basis.filter_basis._proof_2
0.000018     8710 filter.is_basis.filter_basis
0.000018     8711 filter.is_basis.filter
0.000018     8712 filter.has_basis.is_basis
0.000018     8713 filter.generate_sets.drec
0.000017     8714 unique
0.000018     8715 fintype.of_subsingleton._proof_1
0.000018     8716 fintype.of_subsingleton
0.000018     8717 unique.to_inhabited
0.000018     8718 unique.inhabited
0.000018     8719 subsingleton_of_forall_eq
0.000018     8720 unique.uniq
0.000017     8721 unique.eq_default
0.000018     8722 unique.subsingleton
0.000018     8723 unique.fintype
0.000018     8724 set.unique_singleton._match_1
0.000018     8725 set.unique_singleton._proof_1
0.000018     8726 set.unique_singleton
0.000018     8727 set.fintype_singleton
0.000018     8728 set.finite_singleton
0.000017     8729 set.sInter_singleton
0.000018     8730 set.univ.equations._eqn_1
0.000018     8731 multiset.attach._proof_1
0.000018     8732 multiset.attach
0.000018     8733 multiset.nodup_attach
0.000018     8734 finset.attach._proof_1
0.000017     8735 finset.attach
0.000018     8736 multiset.mem_attach
0.000018     8737 finset.mem_attach
0.000018     8738 finset.subtype.fintype
0.000018     8739 set.finite.induction_on
0.000018     8740 set.insert_subset
0.000018     8741 filter.mem_generate_iff
0.000017     8742 filter.has_basis_generate
0.000018     8743 filter.is_basis.mem_filter_basis_iff
0.000016     8744 filter.is_basis.mem_filter_iff
0.000015     8745 filter.has_basis.filter_eq
0.000017     8746 filter.generate_eq_generate_inter
0.000018     8747 filter.of_sets_filter_eq_generate
0.000018     8748 filter.is_countably_generated.filter_basis_filter
0.000018     8749 false_of_true_eq_false
0.000018     8750 filter_basis.nonempty_sets
0.000017     8751 filter_basis.eq_infi_principal
0.000019     8752 filter.is_countably_generated.exists_countable_infi_principal
0.000017     8753 infi_false
0.000018     8754 infi_top
0.000018     8755 infi_emptyset
0.000018     8756 is_glb_cInf
0.000018     8757 is_glb.cInf_eq
0.000018     8758 is_least.nonempty
0.000017     8759 is_least.cInf_eq
0.000018     8760 cInf_singleton
0.000018     8761 cinfi_const
0.000018     8762 option.iget._main
0.000018     8763 option.iget
0.000017     8764 option.iget_some
0.000018     8765 set.countable_iff_exists_surjective_to_subtype
0.984320     8766 filter.countable_binfi_eq_infi_seq
0.000076     8767 filter.countable_binfi_eq_infi_seq'
0.000024     8768 filter.countable_binfi_principal_eq_seq_infi
0.000016     8769 filter.is_countably_generated.exists_seq
0.000015     8770 Exists.some
0.000016     8771 filter.has_basis.index._proof_1
0.000015     8772 Exists.some_spec
0.000015     8773 filter.has_basis.index._proof_2
0.000014     8774 filter.has_basis.index
0.000018     8775 subtype.prop
0.000020     8776 subtype.coe_prop
0.000018     8777 filter.has_basis.property_index
0.000018     8778 filter.has_basis.set_index_mem
0.000016     8779 monotone_of_monotone_nat
0.000016     8780 filter.has_basis.set_index_subset
0.000015     8781 filter.is_countably_generated.exists_antimono_subbasis
0.000017     8782 filter.is_countably_generated.exists_antimono_basis
0.000018     8783 set.bInter_mono'
0.000018     8784 set.Iic_subset_Iic
0.000016     8785 infi_neg
0.000015     8786 set.Inter_neg
0.000015     8787 set.Inter_univ
0.000027     8788 set.bInter_union
0.000022     8789 set.bInter_singleton
0.000018     8790 set.bInter_insert
0.000019     8791 filter.inter_mem_sets_iff
0.000018     8792 filter.bInter_mem_sets
0.000018     8793 set.fintype_le_nat._proof_1
0.000018     8794 set.fintype_le_nat._proof_2
0.000018     8795 set.fintype_lt_nat._proof_1
0.000018     8796 set.fintype_lt_nat
0.000018     8797 set.fintype_le_nat
0.000018     8798 set.finite_le_nat
0.000018     8799 filter.antimono_seq_of_seq
0.000018     8800 encodable.nat._proof_1
0.000018     8801 encodable.nat
0.000018     8802 filter.is_basis.filter_eq_generate
0.000018     8803 filter.has_basis.eq_generate
0.000018     8804 filter.is_countably_generated_seq
0.000018     8805 filter.is_countably_generated_iff_exists_antimono_basis
0.000018     8806 filter.is_countably_generated.exists_antimono_seq'
0.000018     8807 filter.has_basis.le_basis_iff
0.000018     8808 set.mem_prod_eq
0.000018     8809 filter.has_basis.cauchy_iff
0.000018     8810 cauchy_iff
0.000018     8811 sequentially_complete.set_seq_aux._proof_1
0.000018     8812 sequentially_complete.set_seq_aux
0.000018     8813 sequentially_complete.set_seq
0.000018     8814 filter.ne_bot.nonempty_of_mem
0.000018     8815 sequentially_complete.set_seq_mem
0.000018     8816 sequentially_complete.seq._proof_1
0.000018     8817 sequentially_complete.seq
0.000018     8818 prod_mk_mem_comp_rel
0.000018     8819 le_nhds_of_cauchy_adhp_aux
0.000018     8820 set.bInter_subset_of_mem
0.000018     8821 sequentially_complete.set_seq_sub_aux
0.000018     8822 set.bInter_subset_bInter_left
0.000018     8823 sequentially_complete.set_seq_mono
0.000018     8824 sequentially_complete.set_seq_prod_subset
0.000018     8825 sequentially_complete.seq_mem
0.000018     8826 sequentially_complete.le_nhds_of_seq_tendsto_nhds
0.000018     8827 sequentially_complete.seq_pair_mem
0.000018     8828 uniform_space.complete_of_convergent_controlled_sequences
0.000018     8829 prod.map
0.000028     8830 cauchy_map_iff'
0.000019     8831 prod.map_fst
0.000019     8832 prod.map_snd
0.000018     8833 prod.map_def
0.000016     8834 cauchy_seq_iff_tendsto
0.000015     8835 cauchy_seq_of_controlled
0.000019     8836 uniform_space.complete_of_cauchy_seq_tendsto
0.000018     8837 filter.is_countably_generated_of_seq
0.000018     8838 ennreal.has_inv
0.000018     8839 emetric.mk_uniformity_basis
0.000018     8840 ennreal.top_mul
0.000018     8841 ennreal.inv_top
0.000018     8842 function.bijective
0.000017     8843 function.involutive.surjective
0.000018     8844 function.involutive.bijective
0.000018     8845 ennreal.top_ne_coe
0.000018     8846 ennreal.top_ne_zero
0.000018     8847 ennreal.coe_eq_zero
0.000018     8848 ennreal.inv_zero
0.000018     8849 with_top.coe_le_iff
0.000017     8850 ennreal.coe_le_iff
0.000018     8851 le_of_mul_le_mul_left
0.000018     8852 mul_le_mul_left
0.000018     8853 nnreal.inv_le
0.000018     8854 ennreal.coe_one
0.000018     8855 ennreal.coe_mul
0.000017     8856 ennreal.coe_inv
0.000018     8857 ennreal.inv_inv
0.000018     8858 ennreal.inv_involutive
0.000018     8859 ennreal.inv_bijective
0.000018     8860 ennreal.inv_eq_inv
0.000017     8861 ennreal.inv_eq_zero
0.000018     8862 ennreal.inv_ne_zero
0.000018     8863 ennreal.inv_pos
0.000018     8864 with_top.coe_one
0.000017     8865 with_top.coe_nat
0.000018     8866 with_top.nat_ne_top
0.000018     8867 ennreal.nat_ne_top
0.000018     8868 ennreal.not_lt_zero
0.000017     8869 or.symm
0.000018     8870 has_le.le.lt_or_eq
0.000018     8871 eq_or_lt_of_le
0.000018     8872 ennreal.inv_eq_top
0.000018     8873 inv_lt_inv
0.000017     8874 ennreal.inv_lt_inv
0.000018     8875 monoid_hom.to_fun
0.000018     8876 monoid_hom.has_coe_to_fun
0.000018     8877 monoid_hom.map_one'
0.000018     8878 monoid_hom.map_one
0.000018     8879 monoid_hom.map_mul'
0.000017     8880 monoid_hom.map_mul
0.000018     8881 monoid_hom.map_pow
0.000018     8882 add_monoid_hom.to_multiplicative._proof_1
0.000018     8883 add_monoid_hom.to_multiplicative._proof_2
0.000018     8884 add_monoid_hom.to_multiplicative._proof_3
0.000018     8885 monoid_hom.cases_on
0.000018     8886 monoid_hom.coe_inj
5.217905     8887 monoid_hom.ext
0.000077     8888 add_monoid_hom.to_multiplicative._proof_4
0.000024     8889 add_monoid_hom.to_multiplicative
0.000016     8890 add_monoid_hom.map_nsmul
0.000015     8891 nnreal.coe_one
0.000015     8892 nnreal.coe_mul
0.000015     8893 nnreal.to_real_hom
0.000015     8894 nnreal.nsmul_coe
0.000014     8895 nnreal.archimedean._match_1
0.000015     8896 nnreal.archimedean
0.000020     8897 ennreal.coe_nat
0.000018     8898 ennreal.coe_lt_coe_nat
0.000016     8899 ennreal.exists_nat_gt
0.000015     8900 ennreal.inv_ne_top
0.000019     8901 ennreal.exists_inv_nat_lt
0.000019     8902 uniformity_basis_edist_inv_nat
0.000018     8903 emetric.uniformity_has_countable_basis
0.000019     8904 emetric.complete_of_cauchy_seq_tendsto
0.000015     8905 metric.complete_of_cauchy_seq_tendsto
0.000015     8906 prod.map.equations._eqn_1
0.000015     8907 filter.has_basis.cauchy_seq_iff
0.000019     8908 symm_of_uniformity
0.000016     8909 comp_symm_of_uniformity
0.000019     8910 filter.has_basis.cauchy_seq_iff'
0.000018     8911 metric.cauchy_seq_iff'
0.000016     8912 cau_seq.is_complete
0.000015     8913 cau_seq.is_complete.is_complete
0.000017     8914 cau_seq.complete
0.000019     8915 cau_seq.lim
0.000019     8916 cau_seq.const_neg
0.000018     8917 cau_seq.exists_gt
0.000018     8918 cau_seq.exists_lt
0.000018     8919 sub_right_comm
0.000018     8920 real.add_comm_semigroup
0.000018     8921 real.cau_seq_converges
0.000018     8922 real.abs.cau_seq.is_complete
0.000018     8923 metric.ball
0.000018     8924 nhds_basis_uniformity
0.000018     8925 metric.nhds_basis_ball
0.000018     8926 metric.mem_nhds_iff
0.000018     8927 cau_seq.equiv_lim
0.000018     8928 real.complete_space
0.000018     8929 has_sum.summable
0.000018     8930 inv_pow'
0.000018     8931 norm_num.sub_pos
0.000018     8932 norm_num.add_pos_neg_pos
0.000018     8933 norm_num.clear_denom_add
0.000018     8934 bit0_pos
0.000018     8935 zero_lt_one'
0.000018     8936 norm_num.clear_denom_div
0.000016     8937 norm_num.one_succ
0.000015     8938 norm_num.inv_one_div
0.000017     8939 has_continuous_mul
0.000018     8940 topological_semiring
0.000018     8941 add_monoid_hom.mul_left._proof_1
0.000018     8942 add_monoid_hom.mul_left._proof_2
0.000018     8943 add_monoid_hom.mul_left
0.000018     8944 finset.sum_eq_multiset_sum
0.000018     8945 list.sum
0.000029     8946 multiset.sum_eq_foldl
0.000019     8947 multiset.coe_sum
0.000018     8948 list.sum.equations._eqn_1
0.000019     8949 list.foldl_map
0.000018     8950 list.foldl_hom
0.000018     8951 list.sum_hom
0.000018     8952 multiset.sum_hom
0.000018     8953 add_monoid_hom.map_multiset_sum
0.000017     8954 add_monoid_hom.map_sum
0.000019     8955 has_sum.map
0.000017     8956 continuous.comp
0.000018     8957 has_continuous_mul.continuous_mul
0.000018     8958 continuous_mul
0.000018     8959 continuous.mul
0.000018     8960 topological_semiring.to_has_continuous_mul
0.000018     8961 continuous_at_const
0.000018     8962 continuous_const
0.000018     8963 continuous_id
0.000018     8964 has_sum.mul_left
0.000018     8965 topological_ring
0.000018     8966 topological_ring.to_has_continuous_add
0.000018     8967 topological_ring.to_has_continuous_mul
0.000018     8968 topological_ring.to_topological_semiring
0.000018     8969 lt_sub_iff_add_lt
0.000018     8970 neg_add_lt_iff_lt_add_right
0.000018     8971 neg_lt_sub_iff_lt_add
0.000017     8972 abs_sub_lt_iff
0.000019     8973 sub_lt
0.000017     8974 set.set_of_and
0.000018     8975 set.mem_Ioi
0.000018     8976 set.Ioi.equations._eqn_1
0.000018     8977 sub_sub_cancel
0.000018     8978 set.Iio.equations._eqn_1
0.000018     8979 nhds_eq_infi_abs_sub
0.000018     8980 linear_ordered_add_comm_group.tendsto_nhds
0.000018     8981 set.nonempty.fst
0.000018     8982 set.nonempty.snd
0.000018     8983 set.nonempty.prod
0.000018     8984 set.prod_nonempty_iff
0.000017     8985 set.prod_eq_empty_iff
0.000018     8986 set.fst_image_prod_subset
0.000018     8987 set.fst_image_prod
0.000018     8988 set.mem_image_eq
0.000018     8989 eq_false_of_not_eq_true
0.000018     8990 or_eq_of_eq_false_right
0.000018     8991 not_eq_of_eq_true
0.000018     8992 auto.classical.implies_iff_not_or
0.000017     8993 auto.not_exists_eq
0.000018     8994 auto.not_and_eq
0.000018     8995 set.image_subset
0.000018     8996 set.snd_image_prod_subset
0.000018     8997 set.snd_image_prod
0.000018     8998 set.prod_subset_prod_iff
0.000017     8999 filter.prod_mem_prod_iff
0.000018     9000 prod_mem_nhds_iff
0.000018     9001 prod_mem_nhds_sets
0.000018     9002 eventually_abs_sub_lt
0.000018     9003 add_sub_comm
0.000018     9004 has_le.le.le_iff_eq
0.000018     9005 abs_nonpos_iff
0.000017     9006 filter.eventually.mp
0.000018     9007 filter.eventually_of_forall
0.000018     9008 filter.eventually.mono
0.000018     9009 linear_ordered_add_comm_group.topological_add_group
0.000018     9010 order_topology_of_nhds_abs
0.000018     9011 metric.ball.equations._eqn_1
0.000018     9012 real.order_topology
0.000018     9013 real.topological_add_group
0.000018     9014 subtype.uniform_space
0.000018     9015 subtype.topological_space
0.000018     9016 filter.range_mem_map
0.000018     9017 filter.map_comap
1.588114     9018 filter.map_comap_of_mem
0.000075     9019 map_nhds_induced_of_mem
0.000024     9020 map_nhds_subtype_coe_eq
0.000016     9021 filter.tendsto_map'
0.000015     9022 tendsto_of_uniform_continuous_subtype
0.000015     9023 real.uniform_continuous_mul
0.000015     9024 is_open.prod
0.000015     9025 continuous_within_at
0.000014     9026 continuous_on
0.000015     9027 closure
0.000019     9028 frontier
0.000019     9029 continuous_at.equations._eqn_1
0.000018     9030 continuous_on.equations._eqn_1
0.000018     9031 continuous_within_at.equations._eqn_1
0.000016     9032 nhds_within_univ
0.000014     9033 continuous_iff_continuous_on_univ
0.000016     9034 filter.tendsto.if
0.000015     9035 filter.tendsto.piecewise
0.000027     9036 nhds_within_inter'
0.000022     9037 filter.tendsto.piecewise_nhds_within
0.000019     9038 set.inter_univ
0.000016     9039 set.inter_union_distrib_left
0.000015     9040 is_greatest.is_lub
0.000018     9041 is_lub_singleton
0.000018     9042 is_lub.insert
0.000016     9043 is_lub_pair
0.000015     9044 galois_connection.l_sup
0.000015     9045 filter.map_sup
0.000017     9046 filter.tendsto_sup
0.000016     9047 continuous_within_at_union
0.000019     9048 continuous_within_at.union
0.000018     9049 filter.eventually_eq
0.000018     9050 filter.ext'
0.000018     9051 filter.eventually_map
0.000018     9052 filter.eventually.congr
0.000018     9053 filter.eventually_congr
0.000019     9054 filter.map_congr
0.000018     9055 continuous_within_at.congr_of_eventually_eq
0.000018     9056 self_mem_nhds_within
0.000018     9057 continuous_within_at.congr
0.000018     9058 filter.frequently
0.000018     9059 filter.frequently.equations._eqn_1
0.000018     9060 mem_interior_iff_mem_nhds
0.000018     9061 closure.equations._eqn_1
0.000018     9062 set.sInter_image
0.000019     9063 set.compl_sUnion
0.000017     9064 set.compl_image
0.000019     9065 set.compl_image_set_of
0.000018     9066 closure_eq_compl_interior_compl
0.000018     9067 mem_closure_iff_frequently
0.000018     9068 cluster_pt_principal_iff
0.000018     9069 filter.frequently.exists
0.000018     9070 filter.frequently.and_eventually
0.000018     9071 and_not_self
0.000018     9072 filter.frequently_iff_forall_eventually_exists_and
0.000018     9073 filter.frequently_iff
0.000018     9074 cluster_pt_principal_iff_frequently
0.000018     9075 mem_closure_iff_cluster_pt
0.000018     9076 mem_closure_iff_nhds_within_ne_bot
0.000018     9077 filter.tendsto_bot
0.000018     9078 continuous_within_at_of_not_mem_closure
0.000018     9079 set.subset_sInter
0.000018     9080 subset_closure
0.000018     9081 compl_injective
0.000018     9082 compl_inj_iff
0.000018     9083 closure_compl
0.000018     9084 monotone.map_inf_le
0.000018     9085 set.sInter_subset_of_mem
0.000018     9086 closure_minimal
0.000018     9087 set.sUnion_eq_compl_sInter_compl
0.000018     9088 set.image_comp
0.000018     9089 set.compl_comp_compl
0.000018     9090 auto.not_forall_eq
0.000018     9091 auto.not_or_eq
0.000018     9092 auto.not_not_eq
0.000018     9093 set.image_congr
0.000018     9094 set.image_id
0.000018     9095 set.compl_compl_image
0.000018     9096 set.compl_sInter
0.000018     9097 is_closed_sInter
0.000018     9098 is_closed_closure
0.000018     9099 closure_mono
0.000018     9100 monotone_closure
0.000018     9101 closure_inter_subset_inter_closure
0.000018     9102 set.piecewise_eq_of_not_mem
0.000018     9103 continuous_on.piecewise'
0.000018     9104 continuous_on.if'
0.000018     9105 if_t_t
0.000018     9106 nhds_within_mono
0.000018     9107 tendsto_nhds_within_mono_left
0.000018     9108 set.mem_compl_iff
0.000018     9109 continuous_on.mono
0.000018     9110 continuous_on.if
0.000018     9111 set.univ_inter
0.000018     9112 continuous_if
0.000018     9113 frontier.equations._eqn_1
0.000018     9114 set.diff_eq
0.000019     9115 frontier_eq_closure_inter_closure
0.000018     9116 is_closed.closure_eq
0.000018     9117 closure_le_eq
0.000018     9118 closure_lt_subset_le
0.000018     9119 frontier_le_subset_eq
0.000018     9120 continuous_if_le
0.000018     9121 continuous.continuous_on
0.000018     9122 continuous.if_le
0.000018     9123 continuous.min
0.000018     9124 is_closed.preimage
0.000018     9125 continuous_swap
0.000018     9126 order_dual.order_closed_topology
0.000018     9127 continuous.max
0.000018     9128 continuous_abs
0.000018     9129 real.continuous_mul
0.000018     9130 real.topological_ring
0.000018     9131 real.topological_semiring
0.000018     9132 geom_sum
0.000019     9133 pi.can_lift._proof_1
0.000018     9134 pi.can_lift
0.000018     9135 nnreal.can_lift._proof_1
0.000018     9136 nnreal.can_lift
0.000018     9137 ring_hom.map_sum
0.000018     9138 nnreal.coe_sum
0.000028     9139 filter.eventually_le
0.000020     9140 is_closed.closure_subset
0.000018     9141 filter.frequently.mem_closure
0.000019     9142 filter.frequently.mem_of_closed
0.000015     9143 filter.tendsto.eventually
0.000018     9144 filter.tendsto.frequently
0.000018     9145 is_closed.mem_of_frequently_of_tendsto
0.000017     9146 filter.compl_not_mem_sets
0.000018     9147 filter.eventually.frequently
0.000018     9148 is_closed.mem_of_tendsto
0.000018     9149 le_of_tendsto_of_tendsto
0.000018     9150 ge_of_tendsto
0.968128     9151 ge_of_tendsto'
0.000123     9152 nhds_subtype_eq_comap
0.000024     9153 tendsto_subtype_rng
0.000015     9154 nnreal.tendsto_coe
0.000015     9155 nnreal.tendsto_coe'
0.000015     9156 inducing
0.000015     9157 embedding
0.000015     9158 inducing.induced
0.000016     9159 embedding.to_inducing
0.000014     9160 embedding.tendsto_nhds_iff
0.000018     9161 le_generate_from_iff_subset_is_open
0.000016     9162 le_generate_from
0.000015     9163 set.Icc
0.000017     9164 set.ord_connected
0.000019     9165 subtype.preorder
0.000019     9166 set.ord_connected.out'
0.000018     9167 set.ord_connected.out
0.000016     9168 order_topology_of_ord_connected
0.000015     9169 set.ord_connected_Ici
0.000014     9170 nnreal.order_topology
0.000017     9171 is_open_lt
0.000016     9172 is_open_Ioi
0.000018     9173 is_open_Iio
0.000019     9174 ennreal.embedding_coe
0.000018     9175 ennreal.tendsto_coe
0.000018     9176 ennreal.of_nnreal_hom._proof_1
0.000018     9177 ennreal.of_nnreal_hom._proof_2
0.000018     9178 ennreal.of_nnreal_hom
0.000018     9179 ennreal.coe_finset_sum
0.000018     9180 ennreal.has_sum_coe
0.000018     9181 filter.mem_at_top
0.000017     9182 filter.tendsto_at_top_at_top_of_monotone
0.000018     9183 monotone.tendsto_at_top_at_top
0.000018     9184 list.length_range'
0.000018     9185 list.range'_append
0.000018     9186 list.range'_sublist_right
0.000018     9187 list.range'_subset_right
0.000018     9188 list.range_subset
0.000018     9189 multiset.range_subset
0.000018     9190 finset.range_subset
0.000018     9191 finset.range_mono
0.000018     9192 finset.exists_nat_subset_range
0.000018     9193 filter.tendsto_finset_range
0.000018     9194 has_sum.tendsto_sum_nat
0.000017     9195 tendsto_order
0.000018     9196 push_neg.not_exists_eq
0.000018     9197 exists_lt_of_lt_cSup
0.000018     9198 set.range_nonempty_iff_nonempty
0.000018     9199 set.range_nonempty
0.000018     9200 exists_lt_of_lt_csupr
0.000018     9201 le_csupr
0.000018     9202 filter.tendsto_of_not_nonempty
0.000018     9203 tendsto_at_top_csupr
0.000018     9204 order_top.bdd_above
0.000017     9205 tendsto_at_top_supr
0.000018     9206 supr_eq_of_tendsto
0.000018     9207 finset.sum_le_sum_of_subset
0.000018     9208 ennreal.has_sum
0.000018     9209 ennreal.tsum_eq_supr_sum
0.000018     9210 supr_le_supr2
0.000018     9211 supr_comp_le
0.000017     9212 monotone.supr_comp_eq
0.000018     9213 finset.sum_mono_set
0.000018     9214 ennreal.tsum_eq_supr_sum'
0.000018     9215 ennreal.tsum_eq_supr_nat
0.000017     9216 ennreal.summable
0.000018     9217 ennreal.has_sum_iff_tendsto_nat
0.000018     9218 nnreal.has_sum_iff_tendsto_nat
0.000018     9219 has_sum_iff_tendsto_nat_of_nonneg
0.000018     9220 pow_nonneg
0.000018     9221 geom_sum₂
0.000018     9222 geom_sum₂_with_one
0.000018     9223 finset.range_zero
0.000018     9224 finset.sum_empty
0.000018     9225 multiset.range.equations._eqn_1
0.000018     9226 list.range'_concat
0.000018     9227 list.range_succ
0.000018     9228 multiset.coe_add
0.000018     9229 multiset.range_succ
0.000018     9230 finset.range_succ
0.000018     9231 finset.sum_range_succ_comm
0.000018     9232 semiconj_by.add_right
0.000018     9233 commute.add_right
0.000018     9234 is_add_hom
0.000017     9235 is_add_monoid_hom
0.000018     9236 is_add_monoid_hom.map_zero
0.000018     9237 add_monoid_hom.of._proof_1
0.000018     9238 is_add_hom.map_add
0.000018     9239 is_add_monoid_hom.to_is_add_hom
0.000018     9240 add_monoid_hom.of._proof_2
0.000018     9241 add_monoid_hom.of
0.000018     9242 finset.sum_hom
0.000018     9243 is_add_monoid_hom.is_add_monoid_hom_mul_left
0.000018     9244 finset.mul_sum
0.000015     9245 commute.geom_sum₂_mul_add
0.000015     9246 semiconj_by.neg_left
0.000018     9247 semiconj_by.sub_left
0.000018     9248 commute.sub_left
0.000018     9249 commute.geom_sum₂_mul
0.000018     9250 commute.one_right
0.000018     9251 geom_sum_mul
0.000018     9252 geom_sum_eq
0.000018     9253 one_div_mul_one_div_rev
0.000018     9254 eq_inv_of_mul_right_eq_one
0.000018     9255 eq_one_div_of_mul_eq_one
0.000018     9256 one_div_neg_one_eq_neg_one
0.000017     9257 one_div_neg_eq_neg_one_div
0.000019     9258 mul_one_div
0.000017     9259 div_neg_eq_neg_div
0.000019     9260 neg_inv
0.000017     9261 tendsto_mul
0.000028     9262 filter.tendsto.mul
0.000022     9263 semi_normed_ring
0.000018     9264 semi_normed_ring.to_pseudo_metric_space
0.000019     9265 semi_normed_ring.to_ring
0.000018     9266 semi_normed_ring.to_has_norm
0.000018     9267 semi_normed_ring.to_semi_normed_group._proof_1
0.000018     9268 semi_normed_ring.to_semi_normed_group._proof_2
0.000018     9269 semi_normed_ring.to_semi_normed_group._proof_3
0.000019     9270 semi_normed_ring.to_semi_normed_group._proof_4
0.000018     9271 semi_normed_ring.to_semi_normed_group._proof_5
0.000018     9272 semi_normed_ring.to_semi_normed_group._proof_6
0.000018     9273 semi_normed_ring.to_semi_normed_group._proof_7
0.000018     9274 semi_normed_ring.to_semi_normed_group._proof_8
0.000018     9275 semi_normed_ring.dist_eq
0.000018     9276 semi_normed_ring.to_semi_normed_group
0.000019     9277 metric.mem_ball
1.111239     9278 real.dist_0_eq_abs
0.000074     9279 abs_dist
0.000023     9280 metric.uniformity_eq_comap_nhds_zero
0.000016     9281 nhds_comap_dist
0.000015     9282 tendsto_iff_dist_tendsto_zero
0.000015     9283 tendsto_iff_norm_tendsto_zero
0.000014     9284 tendsto_of_tendsto_of_tendsto_of_le_of_le'
0.000016     9285 squeeze_zero'
0.000015     9286 squeeze_zero
0.000014     9287 norm_add_le
0.000021     9288 norm_add_le_of_le
0.000018     9289 semi_normed_ring.norm_mul
0.000019     9290 norm_mul_le
0.000015     9291 norm_zero
0.000015     9292 lipschitz_with
0.000015     9293 emetric.uniform_continuous_iff
0.000015     9294 ennreal.div_inv_monoid._proof_1
0.000017     9295 ennreal.div_inv_monoid._proof_2
0.000018     9296 ennreal.div_inv_monoid._proof_3
0.000018     9297 ennreal.div_inv_monoid._proof_4
0.000016     9298 ennreal.div_inv_monoid._proof_5
0.000015     9299 ennreal.div_inv_monoid._proof_6
0.000015     9300 ennreal.div_inv_monoid
0.000017     9301 canonically_ordered_semiring.mul_pos
0.000019     9302 ennreal.coe_ne_top
0.000018     9303 lipschitz_with.edist_le_mul
0.000018     9304 ennreal.zero_div
0.000018     9305 ennreal.div_top
0.000018     9306 ite_eq_left_iff
0.000018     9307 ennreal.mul_top
0.000018     9308 ennreal.mul_le_mul_left
0.000018     9309 with_top.top_mul_top
0.000019     9310 with_top.mul_eq_top_iff
0.000017     9311 ennreal.mul_eq_top
0.000019     9312 ennreal.div_eq_top
0.000022     9313 ennreal.zero_ne_top
0.000026     9314 ennreal.le_div_iff_mul_le
0.000019     9315 ennreal.div_le_iff_le_mul
0.000019     9316 ennreal.div_le_of_le_mul
0.000017     9317 ennreal.mul_lt_of_lt_div
0.000019     9318 lipschitz_with.uniform_continuous
0.000018     9319 ennreal.max_zero_right
0.000018     9320 prod.pseudo_emetric_space_max._proof_1
0.000018     9321 prod.pseudo_emetric_space_max._proof_2
0.000018     9322 prod.pseudo_emetric_space_max._proof_3
0.000018     9323 prod.pseudo_emetric_space_max._proof_4
0.000018     9324 prod.pseudo_emetric_space_max
0.000018     9325 nndist
0.000018     9326 nndist.equations._eqn_1
0.000018     9327 ennreal.coe_nnreal_eq
0.000018     9328 ennreal.of_real_eq_coe_nnreal
0.000018     9329 edist_nndist
0.000018     9330 dist_add_right
0.000024     9331 dist_add_left
0.000024     9332 dist_add_add_le
0.000019     9333 nndist_add_add_le
0.000018     9334 edist_add_add_le
0.000018     9335 lipschitz_with.add
0.000018     9336 norm_sub_rev
0.000019     9337 dist_neg_neg
0.000018     9338 lipschitz_with.neg
0.000018     9339 lipschitz_with.sub
0.000018     9340 lipschitz_with.of_edist_le
0.000016     9341 lipschitz_with.prod_fst
0.000015     9342 lipschitz_with.prod_snd
0.000018     9343 normed_uniform_group
0.000018     9344 normed_top_monoid
0.000018     9345 sub_le_iff_le_add'
0.000018     9346 abs_sub_le_iff
0.000019     9347 sub_le_iff_le_add
0.000018     9348 dist_triangle_left
0.000018     9349 abs_dist_sub_le
0.000017     9350 uniform_continuous_dist
0.000018     9351 continuous_dist
0.000018     9352 filter.tendsto.dist
0.000024     9353 tendsto_norm
0.000026     9354 filter.tendsto.norm
0.000018     9355 has_continuous_sub
0.000019     9356 has_continuous_sub.continuous_sub
0.000018     9357 filter.tendsto.sub
0.000018     9358 continuous_add
0.000019     9359 continuous.add
0.000018     9360 continuous.neg
0.000018     9361 topological_add_group.to_has_continuous_sub
0.000019     9362 normed_top_group
0.000018     9363 semi_normed_ring_top_monoid
0.000018     9364 semi_normed_comm_ring
0.000018     9365 semi_normed_comm_ring.to_semi_normed_ring
0.000019     9366 normed_ring
0.000018     9367 normed_ring.to_ring
0.000019     9368 normed_comm_ring
0.000018     9369 normed_ring.to_has_norm
0.000018     9370 normed_comm_ring.to_normed_ring
0.000018     9371 normed_ring.to_metric_space
0.000018     9372 normed_ring.dist_eq
0.000019     9373 normed_comm_ring.to_semi_normed_comm_ring._proof_1
0.000018     9374 normed_ring.norm_mul
0.000019     9375 normed_comm_ring.to_semi_normed_comm_ring._proof_2
0.000018     9376 normed_comm_ring.mul_comm
0.000018     9377 normed_comm_ring.to_semi_normed_comm_ring
0.000019     9378 normed_field.to_field
0.000018     9379 normed_field.to_normed_comm_ring._proof_1
0.000018     9380 normed_field.to_normed_comm_ring._proof_2
0.000018     9381 normed_field.to_normed_comm_ring._proof_3
0.000019     9382 normed_field.to_normed_comm_ring._proof_4
0.000018     9383 normed_field.to_normed_comm_ring._proof_5
0.000018     9384 normed_field.to_normed_comm_ring._proof_6
0.000019     9385 normed_field.to_normed_comm_ring._proof_7
0.000018     9386 normed_field.to_normed_comm_ring._proof_8
0.000025     9387 normed_field.to_normed_comm_ring._proof_9
0.000020     9388 normed_field.to_normed_comm_ring._proof_10
0.000019     9389 normed_field.to_normed_comm_ring._proof_11
0.000018     9390 normed_field.to_normed_comm_ring._proof_12
0.000018     9391 normed_field.to_normed_comm_ring._proof_13
0.000019     9392 normed_field.to_normed_comm_ring._proof_14
0.000018     9393 normed_field.to_normed_comm_ring._proof_15
0.000018     9394 normed_field.to_metric_space
0.000018     9395 normed_field.dist_eq
2.148085     9396 normed_field.norm_mul'
0.000074     9397 normed_field.norm_mul
0.000031     9398 normed_field.to_normed_comm_ring._proof_16
0.000017     9399 normed_field.to_normed_comm_ring._proof_17
0.000016     9400 normed_field.to_normed_comm_ring
0.000014     9401 has_le.le.eq_or_lt
0.000015     9402 filter.map_at_top_eq_of_gc
0.000021     9403 le_iff_le_iff_lt_iff_lt
0.000018     9404 nat.le_sub_left_iff_add_le
0.000015     9405 nat.le_sub_right_iff_add_le
0.000015     9406 filter.map_add_at_top_eq_nat
0.000023     9407 filter.tendsto_add_at_top_iff_nat
0.000021     9408 filter.tendsto_congr'
0.000016     9409 filter.tendsto_congr
0.000015     9410 filter.tendsto.congr
0.000015     9411 filter.tendsto.mono_right
0.000017     9412 set.Ioo
0.000016     9413 list.tfae
0.000017     9414 list.nth._main
0.000016     9415 list.nth
0.000015     9416 list.nth_le._main
0.000018     9417 list.nth_le
0.000019     9418 list.nth_le_mem
0.000015     9419 list.nth_le_nth
0.000018     9420 list.nth_len_le
0.000018     9421 list.nth_eq_some
0.000018     9422 list.nth_mem
0.000018     9423 list.tfae.out
0.000018     9424 list.tfae_of_forall
0.000018     9425 implies
0.000018     9426 implies.trans
0.000018     9427 nhds_within_has_basis
0.000018     9428 nhds_within_basis_open
0.000018     9429 mem_nhds_within
0.000025     9430 set.Ioi_inter_Iio
0.000025     9431 set.Ioo_subset_Ioo
0.000019     9432 set.Ioo_subset_Ioo_left
0.000018     9433 Ioo_mem_nhds_within_Ioi
0.000018     9434 mem_nhds_within_iff_exists_mem_nhds_inter
0.000016     9435 set.Ioc_subset_Ioi_self
0.000015     9436 nhds_within_restrict''
0.000018     9437 nhds_within_restrict'
0.000018     9438 nhds_within_restrict
0.000018     9439 nhds_within_le_of_mem
0.000018     9440 set.Ioo_subset_Ioc_self
0.000018     9441 Ioc_mem_nhds_within_Ioi
0.000018     9442 set.mem_Ico
0.000018     9443 set.left_mem_Ico
0.000018     9444 nhds_within_Ioc_eq_nhds_within_Ioi
0.000018     9445 set.Ioo_subset_Ioi_self
0.000019     9446 nhds_within_Ioo_eq_nhds_within_Ioi
0.000018     9447 tfae_mem_nhds_within_Ioi
0.000018     9448 mem_nhds_within_Ioi_iff_exists_Ioo_subset'
0.000018     9449 mem_nhds_within_Ioi_iff_exists_Ioo_subset
0.000019     9450 mem_nhds_within_Ioi_iff_exists_Ioc_subset
0.000018     9451 tendsto_inv_at_top_zero'
0.000018     9452 tendsto_inv_at_top_zero
0.000018     9453 bdd_above.equations._eqn_1
0.000018     9454 not_bdd_above_iff'
0.000018     9455 not_bdd_above_iff
0.000018     9456 filter.tendsto_at_top_at_top_of_monotone'
0.000018     9457 le_mul_of_one_le_left
0.000018     9458 pow_mono
0.000019     9459 pow_le_pow
0.000018     9460 lt_one_add
0.000018     9461 bit0.equations._eqn_1
0.000018     9462 commute.left_comm
0.000018     9463 one_add_mul_le_pow'
0.000018     9464 zero_le_two
0.000018     9465 add_one_pow_unbounded_of_pos
0.000018     9466 tendsto_add_one_pow_at_top_at_top_of_pos
0.000019     9467 tendsto_pow_at_top_at_top_of_one_lt
0.000018     9468 lt_inv
0.000018     9469 one_lt_inv
0.000018     9470 tendsto_pow_at_top_nhds_0_of_lt_1
0.000018     9471 has_sum_geometric_of_lt_1
0.000018     9472 one_half_pos
0.000019     9473 lt_mul_of_one_lt_right
0.000018     9474 one_add_one_eq_two
0.000018     9475 one_lt_two
0.000018     9476 div_two_lt_of_pos
0.000018     9477 half_lt_self
0.000018     9478 one_half_lt_one
0.000018     9479 has_sum_geometric_two'
0.000018     9480 option.cases_on'._main
0.000018     9481 option.cases_on'
0.000018     9482 le_of_tendsto_of_tendsto'
0.000018     9483 has_sum_le
0.000018     9484 function.is_partial_inv_left
0.000018     9485 function.partial_inv_left
0.000019     9486 option.cases_on'._main.equations._eqn_2
0.000018     9487 option.cases_on'.equations._eqn_2
0.000018     9488 option.cases_on'._main.equations._eqn_1
0.000018     9489 option.cases_on'.equations._eqn_1
0.000019     9490 function.support
0.000018     9491 subtype.range_coe_subtype
0.000018     9492 function.support_subset_iff'
0.000018     9493 has_sum_subtype_iff_of_support_subset
0.000018     9494 has_sum_subtype_support
0.000018     9495 set.eq_univ_of_forall
0.000018     9496 equiv.range_eq_univ
0.000018     9497 equiv.has_sum_iff
0.000019     9498 equiv.has_sum_iff_of_support
0.000017     9499 equiv.of_left_inverse._proof_1
0.000019     9500 nonempty_of_exists
0.000017     9501 equiv.of_left_inverse._proof_2
0.000019     9502 equiv.of_left_inverse._proof_3
0.000018     9503 equiv.of_left_inverse._match_1
0.000018     9504 equiv.of_left_inverse._proof_4
0.000018     9505 equiv.of_left_inverse
0.000018     9506 equiv.of_injective._proof_1
0.000018     9507 equiv.of_injective
0.000018     9508 equiv.of_bijective._proof_1
0.000018     9509 equiv.subtype_equiv._proof_1
0.000018     9510 equiv.subtype_equiv._proof_2
0.000018     9511 subtype.ext_val
0.000018     9512 equiv.subtype_equiv._match_1
0.000019     9513 equiv.subtype_equiv._proof_3
0.000018     9514 equiv.subtype_equiv._match_2
0.000018     9515 equiv.subtype_equiv._proof_4
0.000018     9516 equiv.subtype_equiv
0.000018     9517 equiv.subtype_equiv_prop._proof_1
0.000026     9518 equiv.subtype_equiv_prop
0.000024     9519 equiv.set_congr
0.000019     9520 set.range_iff_surjective
0.837388     9521 function.surjective.range_eq
0.000078     9522 equiv.of_bijective._proof_2
0.000025     9523 equiv.set.univ._match_1
0.000016     9524 equiv.set.univ._proof_1
0.000015     9525 equiv.set.univ._proof_2
0.000015     9526 equiv.set.univ
0.000014     9527 equiv.of_bijective
0.000015     9528 has_sum_iff_has_sum_of_ne_zero_bij
0.000015     9529 function.mem_support
0.000015     9530 has_sum_le_inj
0.000014     9531 pos_sum_of_encodable._proof_1
0.000015     9532 pos_sum_of_encodable
0.000018     9533 nnreal.has_sum_coe
0.000018     9534 nnreal.exists_pos_sum_of_encodable
0.000019     9535 ennreal.tsum_coe_eq
0.000018     9536 ennreal.exists_pos_sum_of_encodable
0.000016     9537 multiset.map_zero
0.000015     9538 multiset.fold_distrib
0.000014     9539 finset.fold_op_distrib
0.000016     9540 finset.sum_add_distrib
0.000018     9541 has_sum.add
0.000019     9542 tsum_add
0.000018     9543 nhds_top_order
0.000016     9544 tendsto_nhds_top_mono
0.000015     9545 tendsto_nhds_top_mono'
0.000014     9546 le_add_right
0.000055     9547 le_add_left
0.000027     9548 open_embedding
0.000018     9549 inducing.map_nhds_of_mem
0.000017     9550 embedding.map_nhds_of_mem
0.000019     9551 open_embedding.to_embedding
0.000018     9552 open_embedding.open_range
0.000018     9553 open_embedding.map_nhds_eq
0.000016     9554 is_open_map
0.000015     9555 is_open_map.is_open_range
0.000015     9556 open_embedding_of_embedding_open
0.000017     9557 induced_compose
0.000018     9558 induced_inf
0.000016     9559 inducing.prod_mk
0.000015     9560 embedding.inj
0.000015     9561 embedding.prod_mk
0.000017     9562 filter.le_map
0.000016     9563 is_open_map.image_mem_nhds
0.000017     9564 is_open_map.nhds_le
0.000018     9565 imp_congr_right
0.000018     9566 is_open_iff_mem_nhds
0.000018     9567 is_open_map.of_nhds_le
0.000018     9568 is_open_map_iff_nhds_le
0.000018     9569 is_open_map.prod
0.000018     9570 eq.ge
0.000019     9571 inducing.is_open_map
0.000017     9572 open_embedding.is_open_map
0.000019     9573 open_embedding.prod
0.000017     9574 is_open_compl_singleton
0.000019     9575 is_open_ne
0.000018     9576 ennreal.is_open_ne_top
0.000018     9577 ennreal.open_embedding_coe
0.000017     9578 ennreal.nhds_coe_coe
0.000019     9579 topological_semiring.to_has_continuous_add
0.000018     9580 continuous_subtype_mk
0.000018     9581 continuous_subtype_val
0.000018     9582 nnreal.topological_semiring
0.000018     9583 ennreal.has_continuous_add
0.000018     9584 ennreal.tsum_add
0.000018     9585 upper_bounds_mono_mem
0.000018     9586 is_lub.upper_bounds_eq
0.000018     9587 is_lub_le_iff
0.000018     9588 mem_upper_bounds
0.000018     9589 lt_is_lub_iff
0.000018     9590 is_glb_lt_iff
0.000018     9591 complete_linear_order.to_linear_order
0.000018     9592 Inf_lt_iff
0.000018     9593 infi_lt_iff
0.000018     9594 with_top.add_lt_add_iff_left
0.000018     9595 ennreal.add_lt_add_iff_left
0.000018     9596 ennreal.lt_add_right
0.000018     9597 filter.eventually_at_top
0.000018     9598 sum_le_has_sum
0.000018     9599 le_has_sum
0.000018     9600 le_tsum
0.000018     9601 le_tsum'
0.000018     9602 ennreal.le_tsum
0.000018     9603 sigma
0.000018     9604 filter.mem_sets_of_eq_bot
0.000019     9605 compl_le_of_compl_le
0.000018     9606 compl_le_iff_compl_le
0.000018     9607 set.compl_subset_comm
0.000018     9608 nhds_is_closed
0.000018     9609 closed_nhds_basis
0.000018     9610 sigma.cases_on
0.000018     9611 sigma.no_confusion_type
0.000018     9612 sigma.no_confusion
0.000018     9613 sigma.decidable_eq._match_2
0.000018     9614 sigma.decidable_eq._match_1
0.000018     9615 sigma.decidable_eq._main
0.000018     9616 sigma.decidable_eq
0.000018     9617 sigma.fst
0.000018     9618 sigma_mk_injective
0.000018     9619 multiset.join
0.000018     9620 multiset.bind
0.000018     9621 multiset.sigma
0.000018     9622 quot.exists_rep
0.000018     9623 quotient.exists_rep
0.000018     9624 list.sigma
0.000018     9625 multiset.sigma.equations._eqn_1
0.000019     9626 list.sigma.equations._eqn_1
0.000017     9627 multiset.coe_join
0.000019     9628 multiset.coe_bind
0.000017     9629 multiset.coe_sigma
0.000019     9630 list.disjoint
0.000017     9631 or_and_distrib_right
0.000019     9632 list.mem_join
0.000017     9633 list.pairwise_join
0.000018     9634 list.disjoint_left
0.000018     9635 list.nodup_join
0.000019     9636 list.nodup_bind
0.000017     9637 sigma.mk.inj
0.000018     9638 sigma.mk.inj_arrow
0.000016     9639 list.nodup_sigma
0.000017     9640 multiset.nodup_sigma
0.000018     9641 finset.sigma._proof_1
0.000018     9642 finset.sigma
0.000018     9643 sigma.snd
0.000019     9644 multiset.bind.equations._eqn_1
0.000017     9645 multiset.join_zero
0.000019     9646 multiset.sum_cons
0.000017     9647 multiset.join_cons
0.000018     9648 multiset.mem_join
0.000018     9649 exists_exists_and_eq_and
0.000018     9650 multiset.mem_bind
0.000018     9651 heq_of_eq
0.000019     9652 sigma.mk.inj_eq
0.000017     9653 sigma.mk.inj_iff
0.000018     9654 heq_iff_eq
0.000018     9655 multiset.mem_sigma
0.000018     9656 finset.mem_sigma
0.000018     9657 sigma.eta
0.000018     9658 finset.sigma_preimage_mk
0.000018     9659 function.embedding.sigma_mk
0.000018     9660 finset.bUnion
0.000018     9661 finset.bUnion_val
0.000018     9662 finset.mem_bUnion
0.566890     9663 function.embedding.sigma_mk_apply
0.000075     9664 finset.sigma_eq_bUnion
0.000025     9665 finset.bUnion_empty
0.000016     9666 finset.bUnion_insert
0.000015     9667 disjoint_bot_left
0.000014     9668 finset.disjoint_empty_left
0.000015     9669 finset.forall_mem_empty_iff
0.000015     9670 finset.disjoint_union_left
0.000015     9671 finset.forall_mem_insert
0.000015     9672 finset.disjoint_bUnion_left
0.000019     9673 finset.disjoint_bUnion_right
0.000019     9674 finset.sum_bUnion
0.000018     9675 finset.sum.equations._eqn_1
0.000016     9676 finset.map_val
0.000019     9677 finset.sum_map
0.000016     9678 finset.sum_sigma
0.000018     9679 list.sum_nil
0.000018     9680 list.sum_cons
0.000016     9681 tendsto_list_sum
0.000019     9682 tendsto_multiset_sum
0.000016     9683 tendsto_finset_sum
0.000017     9684 supr_range
0.000018     9685 filter.infi_eq_generate
0.000015     9686 set.fintype_range._proof_1
0.000015     9687 set.fintype_range
0.000015     9688 set.finite_range
0.000017     9689 set.bUnion_range
0.000015     9690 set.finite_subset_Union
0.000017     9691 set.eq_finite_Union_of_finite_subset_Union
0.000019     9692 set.sInter_eq_bInter
0.000017     9693 filter.sInter_mem_sets
0.000018     9694 set.mem_sInter
0.000018     9695 set.sInter_Union
0.000018     9696 filter.mem_infi_iff
0.000018     9697 filter.at_top_finset_eq_infi
0.000018     9698 filter.tendsto_at_top_finset_of_monotone
0.000018     9699 monotone.tendsto_at_top_finset
0.000018     9700 finset.monotone_preimage
0.000018     9701 finset.mem_singleton_self
0.000018     9702 filter.tendsto_finset_preimage_at_top_at_top
0.000018     9703 has_sum.sigma
0.000018     9704 equiv.sigma_equiv_prod._match_1
0.000018     9705 equiv.sigma_equiv_prod._proof_1
0.000018     9706 equiv.sigma_equiv_prod._match_2
0.000018     9707 equiv.sigma_equiv_prod._proof_2
0.000027     9708 equiv.sigma_equiv_prod
0.000021     9709 has_sum.prod_fiberwise
0.000019     9710 tsum_prod'
0.000018     9711 ennreal.tsum_prod
0.000018     9712 equiv.nat_prod_nat_equiv_nat._proof_1
0.000018     9713 equiv.nat_prod_nat_equiv_nat
0.000018     9714 equiv.summable_iff_of_has_sum_iff
0.000019     9715 equiv.tsum_eq_tsum_of_has_sum_iff_has_sum
0.000018     9716 tsum_eq_tsum_of_has_sum_iff_has_sum
0.000018     9717 equiv.tsum_eq
0.000018     9718 set.Union_subset
0.000018     9719 equiv.nat_prod_nat_equiv_nat.equations._eqn_1
0.000018     9720 equiv.coe_fn_mk
0.000018     9721 equiv.coe_fn_symm_mk
0.000019     9722 set.subset_Union
0.000017     9723 tsum_le_tsum
0.000019     9724 ennreal.tsum_le_tsum
0.000018     9725 measure_theory.outer_measure.of_function._proof_3
0.000018     9726 measure_theory.outer_measure.of_function
0.000018     9727 measure_theory.extend
0.000018     9728 measure_theory.extend.equations._eqn_1
0.000018     9729 measure_theory.extend_eq
0.000018     9730 measure_theory.extend_empty
0.000018     9731 measure_theory.induced_outer_measure._proof_1
0.000018     9732 measure_theory.induced_outer_measure
0.000018     9733 measure_theory.outer_measure.has_coe_to_fun
0.000019     9734 measurable_space.measurable_set_empty
0.000017     9735 measurable_set.empty
0.000019     9736 measure_theory.outer_measure.empty
0.000015     9737 measure_theory.outer_measure.trim
0.000016     9738 measure_theory.measure
0.000017     9739 measure_theory.measure.to_outer_measure
0.000018     9740 measure_theory.measure.has_coe_to_fun
0.000018     9741 mul_action
0.000018     9742 mul_action.to_has_scalar
0.000017     9743 distrib_mul_action
0.000018     9744 distrib_mul_action.to_mul_action
0.000018     9745 semimodule
0.000018     9746 smul_with_zero
0.000018     9747 smul_with_zero.to_has_scalar
0.000018     9748 mul_action_with_zero
0.000018     9749 mul_action_with_zero.to_mul_action
0.000018     9750 mul_action_with_zero.smul_zero
0.000018     9751 mul_action_with_zero.zero_smul
0.000018     9752 mul_action_with_zero.to_smul_with_zero
0.000018     9753 semimodule.to_distrib_mul_action
0.000018     9754 mul_action.one_smul
0.000018     9755 semimodule.to_mul_action_with_zero._proof_1
0.000018     9756 mul_action.mul_smul
0.000018     9757 semimodule.to_mul_action_with_zero._proof_2
0.000018     9758 distrib_mul_action.smul_zero
0.000018     9759 smul_zero
0.000018     9760 semimodule.to_mul_action_with_zero._proof_3
0.000018     9761 semimodule.zero_smul
0.000018     9762 semimodule.to_mul_action_with_zero
0.000018     9763 linear_map
0.000018     9764 measure_theory.outer_measure.empty'
0.000018     9765 measure_theory.outer_measure.has_add._proof_1
0.000018     9766 measure_theory.outer_measure.mono
0.000018     9767 measure_theory.outer_measure.has_add._proof_2
0.000018     9768 measure_theory.outer_measure.Union_nat
0.000018     9769 measure_theory.outer_measure.has_add._proof_3
0.000018     9770 measure_theory.outer_measure.has_add
0.000018     9771 measure_theory.measure.trimmed
0.000017     9772 measure_theory.measure_eq_trim
0.000019     9773 measure_theory.measure_eq_induced_outer_measure
0.000018     9774 encodable.decode2
0.000018     9775 supr_comm
0.441086     9776 encodable.decode2.equations._eqn_1
0.000076     9777 option.guard_eq_some
0.000025     9778 encodable.mem_decode2'
0.000015     9779 encodable.mem_decode2
0.000015     9780 infi_infi_eq_right
0.000015     9781 supr_supr_eq_right
0.000015     9782 encodable.supr_decode2
0.000015     9783 encodable.Union_decode2
0.000015     9784 measurable_space.measurable_set_Union
0.000015     9785 supr_neg
0.000020     9786 set.Union_neg
0.000018     9787 supr_bot
0.000018     9788 set.Union_empty
0.000016     9789 encodable.Union_decode2_cases
0.000015     9790 measurable_set.bUnion_decode2
0.000015     9791 measurable_set.Union
0.000017     9792 finset.attach_val
0.000018     9793 multiset.attach_map_val
0.000018     9794 finset.erase_dup_eq_self
0.000016     9795 finset.attach_image_val
0.000015     9796 finset.sum_attach
0.000017     9797 filter.singleton_mem_pure_sets
0.000018     9798 filter.le_pure_iff
0.000018     9799 filter.eventually_ge_at_top
0.000016     9800 filter.order_top.at_top_eq
0.000015     9801 filter.tendsto_pure
0.000015     9802 filter.tendsto_pure_pure
0.000017     9803 filter.tendsto_at_top_pure
0.000018     9804 order_top.tendsto_at_top_nhds
0.000018     9805 finset.order_top._proof_1
0.000018     9806 finset.order_top._proof_2
0.000018     9807 finset.order_top._proof_3
0.000018     9808 finset.order_top._proof_4
0.000018     9809 finset.subset_univ
0.000018     9810 finset.order_top
0.000018     9811 has_sum_fintype
0.000019     9812 finset_coe.fintype
0.000017     9813 finset.has_sum
0.000019     9814 has_sum_sum_of_ne_finset_zero
0.000017     9815 has_sum_single
0.000018     9816 tsum_eq_single
0.000018     9817 nat.rec_zero
0.000018     9818 measure_theory.outer_measure.of_function_le
0.000018     9819 measure_theory.outer_measure.of_function_eq
0.000019     9820 set.union_diff_cancel
0.000018     9821 tsum_eq_tsum_of_ne_zero_bij
0.000018     9822 supr_false
0.000018     9823 option.get_mem
0.000018     9824 encodable.encodek2
0.000018     9825 option.get_of_mem
0.000018     9826 tsum_supr_decode2
0.000018     9827 tsum_Union_decode2
0.000018     9828 option.ext
0.000019     9829 measure_theory.extend_Union_nat
0.000018     9830 set.bot_eq_empty
0.000015     9831 encodable.Union_decode2_disjoint_on
0.000015     9832 measure_theory.extend_Union
0.000019     9833 sum
0.000018     9834 unit
0.000018     9835 sum.cases_on
0.000018     9836 encodable.encode_sum._main
0.000019     9837 encodable.encode_sum
0.000018     9838 encodable.decode_sum._match_1
0.000018     9839 encodable.decode_sum
0.000018     9840 encodable.encode_sum._main.equations._eqn_1
0.000018     9841 encodable.encode_sum.equations._eqn_1
0.000018     9842 encodable.decode_sum.equations._eqn_1
0.000018     9843 nat.bodd_div2_eq
0.000018     9844 nat.bodd_bit
0.000018     9845 nat.bodd_bit0
0.000018     9846 nat.div2_bit0
0.000018     9847 encodable.decode_sum._match_1.equations._eqn_1
0.000019     9848 sum.no_confusion_type
0.000017     9849 sum.no_confusion
0.000019     9850 sum.inl.inj
0.000018     9851 sum.inl.inj_eq
0.000018     9852 encodable.encode_sum._main.equations._eqn_2
0.000018     9853 encodable.encode_sum.equations._eqn_2
0.000018     9854 nat.bodd_bit1
0.000018     9855 nat.div2_bit1
0.000019     9856 encodable.decode_sum._match_1.equations._eqn_2
0.000018     9857 sum.inr.inj
0.000018     9858 sum.inr.inj_eq
0.000018     9859 encodable.sum._proof_1
0.000018     9860 encodable.sum
0.000018     9861 punit.cases_on
0.000019     9862 iff_eq_of_eq_true_right
0.000018     9863 eq_iff_true_of_subsingleton
0.000018     9864 punit.rec_on
0.000018     9865 punit_eq
0.000018     9866 punit.subsingleton
0.000018     9867 encodable.unit._match_1
0.000018     9868 encodable.unit._proof_1
0.000018     9869 encodable.unit
0.000018     9870 sum.rec_on
0.000019     9871 equiv.bool_equiv_punit_sum_punit._proof_1
0.000018     9872 equiv.bool_equiv_punit_sum_punit._proof_2
0.000018     9873 equiv.bool_equiv_punit_sum_punit
0.000018     9874 encodable.bool
0.000019     9875 function.on_fun.equations._eqn_1
0.000018     9876 pairwise.equations._eqn_1
0.000018     9877 pairwise_on_bool
0.000018     9878 pairwise_disjoint_on_bool
0.000019     9879 bool.fintype._proof_1
0.000018     9880 finset.mk_zero
0.000018     9881 finset.mk_cons
0.000018     9882 is_lawful_singleton
0.000018     9883 is_lawful_singleton.insert_emptyc_eq
0.000018     9884 finset.is_lawful_singleton
0.000018     9885 bool.fintype._proof_2
0.000019     9886 bool.fintype
0.000018     9887 tsum_fintype
0.000018     9888 fintype.univ_bool
0.000018     9889 measure_theory.extend_union
0.000018     9890 generalized_boolean_algebra.inf_inf_sdiff
0.000018     9891 inf_inf_sdiff
0.000019     9892 sdiff_le
0.000017     9893 inf_sdiff_right
0.000019     9894 sdiff_inf_sdiff
0.000018     9895 inf_sdiff_self_right
0.000018     9896 set.inter_diff_self
0.000018     9897 set.disjoint_diff
0.000018     9898 decidable.and_iff_not_or_not
0.000018     9899 and_iff_not_or_not
0.000019     9900 set.inter_eq_compl_compl_union_compl
0.000018     9901 measurable_space.measurable_set_compl
0.000018     9902 measurable_set.compl
0.000018     9903 measurable_set.union
0.000018     9904 measurable_set.inter
0.000018     9905 measurable_set.diff
0.247438     9906 measure_theory.extend_mono
0.000075     9907 measure_theory.extend_Union_le_tsum_nat'
0.000024     9908 set.disjointed
0.000016     9909 supr_le_supr
0.000015     9910 set.Union_subset_Union
0.000015     9911 set.mem_bUnion
0.000014     9912 set.mem_bInter
0.000015     9913 set.subset_Union_disjointed
0.000015     9914 set.bUnion_subset_Union
0.000014     9915 set.Union_disjointed
0.000018     9916 set.disjointed.equations._eqn_1
0.000018     9917 nat.lt_succ_iff_lt_or_eq
0.000016     9918 set.Inter_lt_succ
0.000015     9919 set.disjointed_induct
0.000021     9920 measurable_set.disjointed
0.000028     9921 or.drec
0.000019     9922 set.disjoint_disjointed
0.000016     9923 measure_theory.extend_Union_le_tsum_nat
0.000016     9924 measure_theory.induced_outer_measure_eq_extend
0.000015     9925 measure_theory.measure.m_Union
0.000017     9926 measure_theory.measure_eq_extend
0.000020     9927 measure_theory.measure_Union
0.000018     9928 measure_theory.measure.has_add._proof_1
0.000019     9929 measure_theory.outer_measure.cases_on
0.000016     9930 measure_theory.outer_measure.coe_fn_injective
0.000015     9931 measure_theory.outer_measure.ext
0.000017     9932 fin.has_zero
0.000018     9933 nat.succ_lt_succ
0.000018     9934 fin.succ._main
0.000018     9935 fin.succ
0.000018     9936 order_embedding
0.000018     9937 fin.le
0.000018     9938 fin.has_le
0.000018     9939 rel_embedding.of_map_rel_iff._proof_1
0.000019     9940 rel_embedding.of_map_rel_iff
0.000018     9941 order_embedding.of_map_rel_iff
0.000018     9942 order_embedding.of_strict_mono._proof_1
0.000018     9943 order_embedding.of_strict_mono
0.000018     9944 fin.lt
0.000019     9945 fin.has_lt
0.000017     9946 fin.fin_to_nat
0.000019     9947 fin.linear_order._proof_1
0.000018     9948 fin.linear_order._proof_2
0.000018     9949 fin.linear_order._proof_3
0.000018     9950 fin.linear_order._proof_4
0.000018     9951 fin.linear_order._proof_5
0.000018     9952 fin.decidable_le
0.000019     9953 fin.veq_of_eq
0.000018     9954 fin.decidable_eq._proof_1
0.000018     9955 fin.decidable_eq
0.000018     9956 fin.decidable_lt
0.000018     9957 fin.linear_order
0.000018     9958 fin.cast_lt
0.000018     9959 fin.cast_le._proof_1
0.000018     9960 fin.cast_le._proof_2
0.000018     9961 fin.cast_le
0.000019     9962 fin.cast_add
0.000017     9963 fin.cast_succ
0.000019     9964 fin.mk_zero
0.000017     9965 fin.induction._proof_1
0.000019     9966 nat.lt_of_succ_lt
0.000018     9967 fin.induction._proof_2
0.000018     9968 fin.induction
0.000018     9969 fin.cases
0.000018     9970 fin.cons
0.000018     9971 matrix.vec_cons
0.000018     9972 fin.elim0._main
0.000018     9973 fin.elim0
0.000018     9974 fin_zero_elim
0.000018     9975 matrix.vec_empty
0.000018     9976 measure_theory.outer_measure.mono'
0.000018     9977 measure_theory.extend_mono'
0.000019     9978 measure_theory.induced_outer_measure_eq_extend'
0.000018     9979 measure_theory.induced_outer_measure_eq'
0.000023     9980 measure_theory.induced_outer_measure_eq_infi
0.000023     9981 measure_theory.outer_measure.trim_eq_infi
0.000019     9982 is_compl_bot_top
0.000018     9983 compl_bot
0.000018     9984 set.compl_empty
0.000018     9985 measurable_set.univ
0.000018     9986 Inf_eq_top
0.000018     9987 infi_eq_top
0.000017     9988 measurable_set.of_compl
0.000018     9989 measurable_set.compl_iff
0.000018     9990 set.compl_Inter
0.000018     9991 measurable_set.Inter
0.000018     9992 ennreal.lt_inv_iff_lt_inv
0.000018     9993 gt_mem_nhds
0.000018     9994 ennreal.inv_lt_iff_inv_lt
0.000018     9995 lt_mem_nhds
0.000018     9996 ennreal.continuous_inv
0.000018     9997 ennreal.tendsto_inv_iff
0.000018     9998 ennreal.nhds_top
0.000018     9999 supr_congr
0.000018    10000 infi_congr
0.000018    10001 ennreal.ne_top_equiv_nnreal._match_1
0.000018    10002 ennreal.ne_top_equiv_nnreal._proof_1
0.000018    10003 ennreal.ne_top_equiv_nnreal._proof_2
0.000018    10004 ennreal.ne_top_equiv_nnreal
0.000019    10005 ennreal.cinfi_ne_top
0.000018    10006 ennreal.infi_ne_top
0.000018    10007 ennreal.nhds_top'
0.000018    10008 ennreal.tendsto_nhds_top_iff_nnreal
0.000018    10009 ennreal.tendsto_nhds_top_iff_nat
0.000018    10010 ennreal.tendsto_nhds_top
0.000018    10011 ennreal.coe_nat_lt_coe
0.000018    10012 ennreal.coe_nat_lt_coe_nat
0.000018    10013 ennreal.tendsto_nat_nhds_top
0.000018    10014 ennreal.tendsto_inv_nat_nhds_zero
0.000018    10015 measure_theory.outer_measure.exists_measurable_superset_eq_trim
0.000018    10016 has_le.le.trans_eq
0.000019    10017 measure_theory.outer_measure.trim_eq
0.000017    10018 measure_theory.outer_measure.exists_measurable_superset_forall_eq_trim
0.000028    10019 equiv.fin_equiv_subtype._proof_1
0.000017    10020 equiv.fin_equiv_subtype._proof_2
0.000015    10021 equiv.fin_equiv_subtype._match_1
0.000015    10022 equiv.fin_equiv_subtype._proof_3
0.000015    10023 equiv.fin_equiv_subtype._match_2
0.000025    10024 equiv.fin_equiv_subtype._proof_4
0.000020    10025 equiv.fin_equiv_subtype
0.000019    10026 encodable.fin
0.000018    10027 fin.forall_fin_succ
0.000016    10028 matrix.cons_val_zero
0.403922    10029 matrix.vec_cons.equations._eqn_1
0.000078    10030 fin.cons.equations._eqn_1
0.000029    10031 fin.cases_succ
0.000016    10032 fin.cons_succ
0.000015    10033 matrix.cons_val_succ
0.000015    10034 measure_theory.outer_measure.trim_binop
0.000015    10035 measure_theory.outer_measure.add_apply
0.000015    10036 measure_theory.outer_measure.trim_add
0.000015    10037 measure_theory.measure.has_add._proof_2
0.000019    10038 measure_theory.measure.has_add
0.000019    10039 measure_theory.outer_measure.has_zero._proof_1
0.000018    10040 measure_theory.outer_measure.has_zero._proof_2
0.000016    10041 measure_theory.outer_measure.has_zero._proof_3
0.000015    10042 measure_theory.outer_measure.has_zero
0.000015    10043 measure_theory.measure.has_zero._proof_1
0.000018    10044 measure_theory.outer_measure.trim_zero
0.000018    10045 measure_theory.measure.has_zero
0.000018    10046 pi.add_comm_monoid._proof_1
0.000016    10047 pi.add_comm_monoid._proof_2
0.000015    10048 pi.add_comm_monoid._proof_3
0.000015    10049 pi.add_comm_monoid._proof_4
0.000017    10050 pi.add_comm_monoid._proof_5
0.000018    10051 pi.add_comm_monoid._proof_6
0.000018    10052 pi.add_comm_monoid
0.000016    10053 measure_theory.outer_measure.add_comm_monoid._proof_1
0.000015    10054 measure_theory.outer_measure.add_comm_monoid._proof_2
0.000015    10055 measure_theory.outer_measure.add_comm_monoid._proof_3
0.000017    10056 measure_theory.outer_measure.add_comm_monoid._proof_4
0.000016    10057 measure_theory.outer_measure.add_comm_monoid._proof_5
0.000017    10058 measure_theory.outer_measure.add_comm_monoid._proof_6
0.000019    10059 measure_theory.outer_measure.add_comm_monoid._proof_7
0.000018    10060 measure_theory.outer_measure.add_comm_monoid._proof_8
0.000018    10061 measure_theory.outer_measure.add_comm_monoid
0.000018    10062 measure_theory.measure.cases_on
0.000019    10063 measure_theory.measure.to_outer_measure_injective
0.000018    10064 measure_theory.measure.zero_to_outer_measure
0.000018    10065 measure_theory.measure.add_to_outer_measure
0.000018    10066 measure_theory.measure.add_comm_monoid
0.000018    10067 one_smul
0.000018    10068 function.injective.mul_action._proof_1
0.000018    10069 function.injective.mul_action._proof_2
0.000018    10070 function.injective.mul_action
0.000018    10071 function.injective.distrib_mul_action._proof_1
0.000018    10072 function.injective.distrib_mul_action._proof_2
0.000018    10073 distrib_mul_action.smul_add
0.000018    10074 smul_add
0.000018    10075 function.injective.distrib_mul_action._proof_3
0.000018    10076 function.injective.distrib_mul_action._proof_4
0.000018    10077 function.injective.distrib_mul_action
0.000018    10078 function.injective.semimodule._proof_1
0.000018    10079 function.injective.semimodule._proof_2
0.000018    10080 function.injective.semimodule._proof_3
0.000019    10081 function.injective.semimodule._proof_4
0.000018    10082 semimodule.add_smul
0.000018    10083 add_smul
0.000018    10084 function.injective.semimodule._proof_5
0.000018    10085 smul_with_zero.zero_smul
0.000018    10086 zero_smul
0.000018    10087 function.injective.semimodule._proof_6
0.000018    10088 function.injective.semimodule
0.000018    10089 measure_theory.outer_measure.has_scalar._proof_1
0.000018    10090 canonically_ordered_semiring.mul_le_mul
0.000018    10091 ennreal.mul_le_mul
0.000018    10092 ennreal.mul_left_mono
0.000018    10093 measure_theory.outer_measure.has_scalar._proof_2
0.000018    10094 filter.prod_comm'
0.000018    10095 filter.prod_comm
0.000018    10096 nhds_swap
0.000018    10097 with_top.lt_iff_exists_coe_btwn
0.000018    10098 ennreal.lt_iff_exists_nnreal_btwn
0.000018    10099 ennreal.mul_lt_mul
0.000018    10100 ennreal.tendsto_mul
0.000018    10101 ennreal.tendsto.mul
0.000018    10102 ennreal.tendsto.const_mul
0.000018    10103 ennreal.tsum_mul_left
0.000017    10104 rel_supr_tsum
0.000019    10105 measure_theory.outer_measure.Union
0.000018    10106 measure_theory.outer_measure.has_scalar._proof_3
0.000015    10107 measure_theory.outer_measure.has_scalar
0.000015    10108 pi.add_monoid._proof_1
0.000015    10109 pi.add_monoid._proof_2
0.000018    10110 pi.add_monoid._proof_3
0.000018    10111 pi.add_monoid._proof_4
0.000018    10112 pi.add_monoid._proof_5
0.000018    10113 pi.add_monoid
0.000018    10114 pi.has_scalar
0.000018    10115 pi.mul_action._proof_1
0.000018    10116 pi.mul_action._proof_2
0.000018    10117 pi.mul_action
0.000018    10118 pi.distrib_mul_action._proof_1
0.000018    10119 pi.distrib_mul_action._proof_2
0.000018    10120 pi.distrib_mul_action._proof_3
0.000018    10121 pi.distrib_mul_action._proof_4
0.000018    10122 pi.distrib_mul_action
0.000018    10123 pi.semimodule._proof_1
0.000018    10124 pi.semimodule._proof_2
0.000018    10125 pi.semimodule._proof_3
0.000018    10126 pi.semimodule._proof_4
0.000017    10127 pi.semimodule
0.000019    10128 monoid.to_mul_action._proof_1
0.320170    10129 monoid.to_mul_action._proof_2
0.000076    10130 monoid.to_mul_action
0.000024    10131 semiring.to_semimodule._proof_1
0.000015    10132 semiring.to_semimodule._proof_2
0.000015    10133 semiring.to_semimodule._proof_3
0.000015    10134 semiring.to_semimodule._proof_4
0.000015    10135 semiring.to_semimodule
0.000015    10136 measure_theory.outer_measure.coe_zero
0.000015    10137 measure_theory.outer_measure.coe_add
0.000014    10138 mul_zero_class.to_smul_with_zero
0.000018    10139 measure_theory.outer_measure.coe_smul
0.000018    10140 measure_theory.outer_measure.semimodule._proof_1
0.000018    10141 measure_theory.outer_measure.semimodule._proof_2
0.000016    10142 measure_theory.outer_measure.semimodule._proof_3
0.000019    10143 measure_theory.outer_measure.semimodule._proof_4
0.000016    10144 measure_theory.outer_measure.semimodule._proof_5
0.000019    10145 measure_theory.outer_measure.semimodule._proof_6
0.000018    10146 measure_theory.outer_measure.semimodule
0.000018    10147 measure_theory.outer_measure.measure_of_eq_coe
0.000016    10148 measure_theory.coe_to_outer_measure
0.000019    10149 pi.smul_apply
0.000016    10150 algebra.id.smul_eq_mul
0.000017    10151 measure_theory.measure.has_scalar._proof_1
0.000018    10152 measure_theory.outer_measure.trim_op
0.000018    10153 measure_theory.outer_measure.smul_apply
0.000018    10154 measure_theory.outer_measure.trim_smul
0.000018    10155 measure_theory.measure.has_scalar._proof_2
0.000018    10156 measure_theory.measure.has_scalar
0.000018    10157 measure_theory.measure.smul_to_outer_measure
0.000018    10158 measure_theory.measure.semimodule
0.000018    10159 linear_map.to_fun
0.000018    10160 linear_map.has_coe_to_fun
0.000018    10161 measurable_space.partial_order._proof_1
0.000018    10162 measurable_space.partial_order._proof_2
0.000018    10163 measurable_space.partial_order._proof_3
0.000017    10164 measurable_space.cases_on
0.000019    10165 measurable_space.ext
0.000018    10166 measurable_space.partial_order._proof_4
0.000018    10167 measurable_space.partial_order
0.000018    10168 measurable_space.dynkin_system
0.000018    10169 measurable_space.dynkin_system.has
0.000018    10170 measurable_space.dynkin_system.has_empty
0.000018    10171 measurable_space.dynkin_system.has_compl
0.000018    10172 measurable_space.dynkin_system.to_measurable_space._proof_1
0.000018    10173 measurable_space.dynkin_system.has_Union_nat
0.000018    10174 measurable_space.dynkin_system.has_Union
0.000018    10175 measurable_space.dynkin_system.to_measurable_space._proof_2
0.000018    10176 measurable_space.dynkin_system.to_measurable_space
0.000018    10177 measure_theory.outer_measure.is_caratheodory
0.000018    10178 measure_theory.outer_measure.is_caratheodory.equations._eqn_1
0.000019    10179 disjoint.sdiff_eq_left
0.000018    10180 disjoint_bot_right
0.000018    10181 sdiff_bot
0.000018    10182 set.diff_empty
0.000018    10183 set.inhabited
0.000018    10184 measure_theory.outer_measure.is_caratheodory_empty
0.000018    10185 measure_theory.outer_measure.is_caratheodory_compl
0.000019    10186 measure_theory.outer_measure.caratheodory_dynkin._proof_1
0.000015    10187 set.inter_union_diff
0.000015    10188 supr_bool_eq
0.000018    10189 fintype.sum_bool
0.000018    10190 rel_sup_add
0.000018    10191 measure_theory.outer_measure.union
0.000018    10192 measure_theory.outer_measure.le_inter_add_diff
0.000018    10193 measure_theory.outer_measure.is_caratheodory_iff_le'
0.000018    10194 set.inter_Union
0.000018    10195 set.Union_lt_succ
0.000018    10196 set.union_inter_cancel_left
0.000018    10197 le_of_inf_le_sup_le
0.000018    10198 eq_of_inf_eq_sup_eq
0.000018    10199 sdiff_unique
0.000018    10200 inf_sdiff_assoc
0.000018    10201 set.inter_diff_assoc
0.000018    10202 disjoint.sdiff_eq_of_sup_eq
0.000018    10203 disjoint.sup_sdiff_cancel_left
0.000018    10204 set.union_diff_cancel_left
0.000018    10205 measure_theory.outer_measure.measure_inter_union
0.000018    10206 measure_theory.outer_measure.is_caratheodory_sum
0.000018    10207 Sup_range
0.000019    10208 filter.eventually.filter_mono
0.000017    10209 filter.frequently.filter_mono
0.000018    10210 pure_le_nhds_within
0.000018    10211 mem_of_mem_nhds_within
0.000019    10212 filter.eventually.self_of_nhds_within
0.000018    10213 set.dual_Ioi
0.000018    10214 set.dual_Icc
0.000018    10215 set.Ici_inter_Iio
0.000018    10216 set.Ico_subset_Ico
0.000018    10217 set.Ico_subset_Ico_left
0.000018    10218 Ico_mem_nhds_within_Ici
0.000018    10219 set.Icc_subset_Ici_self
0.000018    10220 set.Ico_subset_Icc_self
0.000018    10221 Icc_mem_nhds_within_Ici
0.000018    10222 nhds_within_Icc_eq_nhds_within_Ici
0.000018    10223 nhds_within_Ico_eq_nhds_within_Ici
0.000018    10224 tfae_mem_nhds_within_Ici
0.000018    10225 tfae_mem_nhds_within_Iic
0.000018    10226 list.nth._main.equations._eqn_2
0.000018    10227 list.nth.equations._eqn_2
0.000019    10228 auto_param_eq
0.437879    10229 list.nth._main.equations._eqn_3
0.000076    10230 list.nth.equations._eqn_3
0.000024    10231 mem_nhds_within_Iic_iff_exists_Ioc_subset'
0.000016    10232 is_lub.exists_between
0.000015    10233 is_lub.frequently_mem
0.000014    10234 is_lub.frequently_nhds_mem
0.000015    10235 is_lub.mem_closure
0.000015    10236 is_lub.nhds_within_ne_bot
0.000015    10237 is_lub.inter_Ici_of_mem
0.000014    10238 is_lub.mem_upper_bounds_of_tendsto
0.000018    10239 le_of_tendsto
0.000018    10240 is_lub.is_lub_of_tendsto
0.000016    10241 ennreal.bsupr_add
0.000015    10242 ennreal.Sup_add
0.000015    10243 ennreal.supr_add
0.000014    10244 sdiff_le_sdiff_self
0.000019    10245 set.diff_subset_diff_right
0.000018    10246 ge_of_eq
0.000019    10247 sup_bot_eq
0.000018    10248 sup_sdiff
0.000018    10249 sdiff_self
0.000016    10250 sup_sdiff_right_self
0.000014    10251 sup_sdiff_left_self
0.000015    10252 set.union_diff_left
0.000018    10253 set.inter_left_comm
0.000017    10254 compl_sup
0.000018    10255 set.compl_union
0.000018    10256 measure_theory.outer_measure.is_caratheodory_union
0.000018    10257 measure_theory.outer_measure.is_caratheodory_Union_lt
0.000018    10258 measure_theory.outer_measure.is_caratheodory_Union_nat
0.000018    10259 measure_theory.outer_measure.caratheodory_dynkin._proof_2
0.000018    10260 measure_theory.outer_measure.caratheodory_dynkin
0.000018    10261 measure_theory.outer_measure.is_caratheodory_compl_iff
0.000018    10262 measure_theory.outer_measure.is_caratheodory_inter
0.000018    10263 measure_theory.outer_measure.caratheodory._proof_1
0.000018    10264 measure_theory.outer_measure.caratheodory
0.000018    10265 measure_theory.measure.of_measurable._proof_1
0.000018    10266 measure_theory.measure.of_measurable._proof_2
0.000018    10267 measure_theory.measure.of_measurable._proof_3
0.000018    10268 measure_theory.measure.of_measurable._proof_4
0.000018    10269 measure_theory.measure.of_measurable._proof_5
0.000018    10270 measure_theory.induced_outer_measure_eq
0.000018    10271 measure_theory.measure.of_measurable._proof_6
0.000018    10272 measure_theory.outer_measure.trim.equations._eqn_1
0.000018    10273 measure_theory.measure.of_measurable._proof_7
0.000016    10274 measure_theory.measure.of_measurable
0.000015    10275 measure_theory.outer_measure.f_Union
0.000017    10276 measure_theory.outer_measure.Union_eq_of_caratheodory
0.000018    10277 measure_theory.outer_measure.to_measure._proof_1
0.000018    10278 measure_theory.outer_measure.to_measure
0.000018    10279 measure_theory.outer_measure.trim_congr
0.000018    10280 measure_theory.measure.ext
0.000018    10281 linear_map.map_add'
0.000018    10282 linear_map.map_add
0.000018    10283 measure_theory.to_measure_apply
0.000018    10284 measure_theory.measure.coe_add
0.000018    10285 measure_theory.measure.lift_linear._proof_1
0.000018    10286 linear_map.map_smul'
0.000018    10287 linear_map.map_smul
0.000018    10288 measure_theory.measure.coe_smul
0.000018    10289 measure_theory.measure.lift_linear._proof_2
0.000019    10290 measure_theory.measure.lift_linear
0.000018    10291 linear_map.comp._proof_1
0.000018    10292 has_one.nonempty
0.000018    10293 linear_map.comp._proof_2
0.000018    10294 linear_map.comp
0.000018    10295 measure_theory.outer_measure.map._proof_1
0.000018    10296 measure_theory.outer_measure.map._proof_2
0.000018    10297 measure_theory.outer_measure.map._proof_3
0.000018    10298 measure_theory.outer_measure.map._proof_4
0.000018    10299 measure_theory.outer_measure.map
0.000018    10300 measure_theory.outer_measure.comap._proof_1
0.000018    10301 measure_theory.outer_measure.comap._proof_2
0.000018    10302 exists_swap
0.000018    10303 set.image_Union
0.000018    10304 measure_theory.outer_measure.comap._proof_3
0.000018    10305 measure_theory.outer_measure.comap._proof_4
0.000018    10306 measure_theory.outer_measure.comap._proof_5
0.000018    10307 measure_theory.outer_measure.comap
0.000018    10308 measure_theory.outer_measure.restrict
0.000018    10309 measure_theory.outer_measure.restrict.equations._eqn_1
0.000018    10310 linear_map.coe_comp
0.000019    10311 measure_theory.outer_measure.map_apply
0.000017    10312 measure_theory.outer_measure.comap_apply
0.000018    10313 subtype.image_preimage_coe
0.000018    10314 measure_theory.outer_measure.restrict_apply
0.000018    10315 measure_theory.to_outer_measure_eq_induced_outer_measure
0.000018    10316 measure_theory.outer_measure.is_caratheodory_iff_le
0.000018    10317 set.Union_inter
0.000018    10318 set.inter_subset_inter_left
0.000018    10319 set.Union_diff
0.000018    10320 sdiff_le_self_sdiff
0.000018    10321 set.diff_subset_diff_left
0.000018    10322 measure_theory.outer_measure.of_function_caratheodory
0.000018    10323 measure_theory.measure_union
0.000018    10324 measure_theory.le_to_outer_measure_caratheodory
0.000019    10325 measure_theory.measure.restrictₗ._proof_1
0.132721    10326 measure_theory.measure.restrictₗ
0.000074    10327 measure_theory.measure.restrict
0.000025    10328 measure_theory.measure.restrictₗ_apply
0.000015    10329 measure_theory.measure.restrictₗ.equations._eqn_1
0.000015    10330 measure_theory.measure.lift_linear_apply
0.000015    10331 measure_theory.measure.restrict_apply
0.000016    10332 set.pairwise_on
0.000015    10333 finset.attach_eq_univ
0.000014    10334 supr_subtype
0.000018    10335 supr_subtype'
0.000018    10336 set.bUnion_eq_Union
0.000018    10337 set.pairwise_on.on_injective
0.000016    10338 measure_theory.measure_bUnion
0.000015    10339 trunc
0.000017    10340 trunc.mk
0.000018    10341 trunc.exists_rep
0.000018    10342 trunc.nonempty
0.000018    10343 pi.subsingleton
0.000016    10344 trunc.ind
0.000015    10345 trunc.induction_on
0.000017    10346 trunc.induction_on₂
0.000018    10347 trunc.eq
0.000016    10348 trunc.subsingleton
0.000017    10349 encodable.trunc_encodable_of_fintype._proof_1
0.000018    10350 list.find_index._main
0.000016    10351 list.find_index
0.000014    10352 list.index_of
0.000015    10353 list.index_of_cons
0.000019    10354 nat.succ_inj'
0.000027    10355 list.index_of_eq_length
0.000020    10356 list.index_of_le_length
0.000019    10357 list.index_of_lt_length
0.000018    10358 list.nth_le._main.equations._eqn_2
0.000016    10359 list.nth_le.equations._eqn_2
0.000015    10360 list.nth_le._main._proof_1
0.000018    10361 list.nth_le._main.equations._eqn_3
0.000018    10362 list.nth_le.equations._eqn_3
0.000018    10363 list.index_of_nth_le
0.000019    10364 list.index_of_nth
0.000018    10365 encodable.encodable_of_list._proof_1
0.000018    10366 encodable.encodable_of_list
0.000018    10367 encodable.trunc_encodable_of_fintype
0.000018    10368 set.finite.countable
0.000018    10369 finset.countable_to_set
0.000018    10370 measure_theory.measure_bUnion_finset
0.000018    10371 pairwise.pairwise_on
0.000019    10372 measure_theory.measure_mono
0.000018    10373 set.bUnion_subset_bUnion_right
0.000018    10374 set.disjointed_subset
0.000018    10375 option.to_finset._match_1
0.000018    10376 option.to_finset
0.000018    10377 option.to_finset.equations._eqn_1
0.000018    10378 option.to_finset._match_1.equations._eqn_1
0.000018    10379 option.to_finset._match_1.equations._eqn_2
0.000018    10380 option.mem_to_finset
0.000018    10381 finset.supr_option_to_finset
0.000018    10382 finset.set_bUnion_option_to_finset
0.000018    10383 infi_exists
0.000018    10384 supr_exists
0.000018    10385 finset.supr_bUnion
0.000018    10386 finset.set_bUnion_bUnion
0.000018    10387 set.Union.equations._eqn_1
0.000018    10388 supr_of_empty'
0.000018    10389 supr_of_empty
0.000019    10390 measure_theory.measure_empty
0.000017    10391 measure_theory.measure_Union_eq_supr
0.000019    10392 measure_theory.measure.restrict_Union_apply_eq_supr
0.000018    10393 subfield
0.000018    10394 subring
0.000018    10395 subring.carrier
0.000018    10396 submonoid
0.000018    10397 submonoid.carrier
0.000018    10398 set_like
0.000019    10399 set_like.coe
0.000018    10400 set_like.set.has_coe_t
0.000018    10401 submonoid.cases_on
0.000018    10402 submonoid.set_like._proof_1
0.000018    10403 submonoid.set_like
0.000018    10404 set_like.has_mem
0.000018    10405 submonoid.one_mem'
0.000018    10406 submonoid.one_mem
0.000019    10407 submonoid.comap._proof_1
0.000017    10408 submonoid.mul_mem'
0.000019    10409 submonoid.mul_mem
0.000018    10410 submonoid.comap._proof_2
0.000018    10411 submonoid.comap
0.000018    10412 ring_hom.to_monoid_hom
0.000018    10413 ring_hom.has_coe_monoid_hom
0.000018    10414 subsemiring
0.000018    10415 subsemiring.carrier
0.000018    10416 subsemiring.one_mem'
0.000019    10417 subsemiring.mul_mem'
0.000018    10418 subsemiring.to_submonoid
0.000018    10419 subring.one_mem'
0.000018    10420 subring.mul_mem'
0.000018    10421 subring.zero_mem'
0.000018    10422 subring.add_mem'
0.000018    10423 subring.to_subsemiring
0.000018    10424 subring.to_submonoid._proof_1
0.000018    10425 subring.to_submonoid._proof_2
0.000019    10426 subring.to_submonoid
0.000018    10427 subring.comap._proof_1
0.000018    10428 subring.comap._proof_2
0.000018    10429 add_subgroup
0.000018    10430 add_subgroup.carrier
0.000018    10431 add_subgroup.cases_on
0.000018    10432 add_subgroup.set_like._proof_1
0.000018    10433 add_subgroup.set_like
0.000018    10434 add_submonoid
0.000018    10435 add_submonoid.carrier
0.000018    10436 add_submonoid.cases_on
0.000018    10437 add_submonoid.set_like._proof_1
0.000019    10438 add_submonoid.set_like
0.000017    10439 add_submonoid.zero_mem'
0.000019    10440 add_submonoid.zero_mem
0.000018    10441 add_submonoid.comap._proof_1
0.000018    10442 add_submonoid.add_mem'
0.000018    10443 add_submonoid.add_mem
0.000018    10444 add_submonoid.comap._proof_2
0.000018    10445 add_submonoid.comap
0.000018    10446 add_subgroup.zero_mem'
0.000018    10447 add_subgroup.add_mem'
0.000019    10448 add_subgroup.to_add_submonoid
0.000018    10449 add_subgroup.comap._proof_1
0.000018    10450 add_subgroup.comap._proof_2
0.000018    10451 add_monoid_hom.map_neg
0.262577    10452 add_subgroup.neg_mem'
0.000075    10453 add_subgroup.neg_mem
0.000024    10454 add_subgroup.comap._proof_3
0.000016    10455 add_subgroup.comap
0.000014    10456 subring.neg_mem'
0.000015    10457 subring.to_add_subgroup
0.000016    10458 subring.comap._proof_3
0.000015    10459 subring.comap._proof_4
0.000014    10460 subring.comap._proof_5
0.000015    10461 subring.comap
0.000015    10462 subfield.carrier
0.000019    10463 subfield.one_mem'
0.000018    10464 subfield.mul_mem'
0.000016    10465 subfield.zero_mem'
0.000015    10466 subfield.add_mem'
0.000015    10467 subfield.neg_mem'
0.000018    10468 subfield.to_subring
0.000016    10469 subfield.comap._proof_1
0.000018    10470 subfield.comap._proof_2
0.000019    10471 subfield.comap._proof_3
0.000018    10472 subfield.comap._proof_4
0.000018    10473 subfield.comap._proof_5
0.000018    10474 subfield.cases_on
0.000016    10475 subfield.set_like._proof_1
0.000015    10476 subfield.set_like
0.000014    10477 subfield.inv_mem'
0.000020    10478 subfield.inv_mem
0.000027    10479 subfield.comap._proof_6
0.000019    10480 subfield.comap
0.000019    10481 subfield.comap.equations._eqn_1
0.000018    10482 submodule
0.000018    10483 set_like.coe_injective'
0.000018    10484 set_like.coe_injective
0.000018    10485 set_like.partial_order._proof_1
0.000019    10486 set_like.partial_order._proof_2
0.000018    10487 set_like.partial_order._proof_3
0.000018    10488 set_like.partial_order._proof_4
0.000018    10489 set_like.partial_order
0.000018    10490 submodule.carrier
0.000019    10491 submodule.cases_on
0.000018    10492 submodule.set_like._proof_1
0.000018    10493 submodule.set_like
0.000018    10494 submodule.order_bot._proof_2
0.000018    10495 stream
0.000018    10496 stream.is_seq
0.000018    10497 seq
0.000018    10498 generalized_continued_fraction.pair
0.000018    10499 generalized_continued_fraction
0.000018    10500 stream.nth
0.000018    10501 stream.map
0.000018    10502 generalized_continued_fraction.pair.b
0.000019    10503 stream.tail
0.000017    10504 generalized_continued_fraction.h
0.000019    10505 generalized_continued_fraction.next_numerator
0.000017    10506 generalized_continued_fraction.pair.a
0.000019    10507 generalized_continued_fraction.next_denominator
0.000018    10508 generalized_continued_fraction.next_continuants
0.000018    10509 generalized_continued_fraction.continuants_aux._match_1
0.000018    10510 seq.nth
0.000018    10511 generalized_continued_fraction.s
0.000018    10512 generalized_continued_fraction.continuants_aux._main
0.000018    10513 generalized_continued_fraction.continuants_aux
0.000018    10514 generalized_continued_fraction.continuants
0.000018    10515 generalized_continued_fraction.denominators
0.000018    10516 generalized_continued_fraction.denominators.equations._eqn_1
0.000018    10517 finset.card
0.000018    10518 is_primitive_root
0.000018    10519 add_monoid_algebra
0.000018    10520 polynomial
0.000018    10521 finsupp.sum
0.000018    10522 finset.filter_congr_decidable
0.000018    10523 finsupp.on_finset._proof_1
0.000018    10524 finsupp.on_finset
0.000018    10525 finsupp.mem_support_iff
0.000018    10526 finsupp.zip_with._proof_1
0.000018    10527 finsupp.zip_with
0.000018    10528 finsupp.has_add._proof_1
0.000018    10529 finsupp.has_add
0.000018    10530 finsupp.cases_on
0.000018    10531 finsupp.coe_fn_injective
0.000017    10532 finsupp.ext
0.000019    10533 finsupp.add_monoid._match_1
0.000027    10534 finsupp.add_monoid._match_2
0.000021    10535 finsupp.add_monoid._match_3
0.000018    10536 finsupp.add_monoid._proof_1
0.000018    10537 finsupp.has_zero._proof_1
0.000018    10538 finsupp.has_zero
0.000018    10539 finsupp.add_zero_class._match_1
0.000018    10540 finsupp.add_zero_class._proof_1
0.000018    10541 finsupp.add_zero_class._match_2
0.000018    10542 finsupp.add_zero_class._proof_2
0.000018    10543 finsupp.add_zero_class
0.000018    10544 finsupp.add_monoid._proof_2
0.000018    10545 finsupp.add_monoid._proof_3
0.000018    10546 not_imp_not
0.000018    10547 finsupp.map_range._proof_1
0.000018    10548 finsupp.map_range
0.000018    10549 nsmul_add'
0.000018    10550 succ_nsmul
0.000018    10551 nsmul_zero
0.000018    10552 finsupp.map_range_apply
0.000018    10553 add_monoid.to_smul_with_zero
0.000016    10554 finsupp.coe_zero
0.000017    10555 finsupp.add_monoid._proof_4
0.000018    10556 finsupp.coe_add
0.000018    10557 finsupp.add_monoid._proof_5
0.000018    10558 finsupp.add_monoid
0.000019    10559 finsupp.add_comm_monoid._proof_1
0.000018    10560 finsupp.add_comm_monoid._proof_2
0.000018    10561 finsupp.add_comm_monoid._proof_3
0.000018    10562 finsupp.add_comm_monoid._proof_4
0.000018    10563 finsupp.add_comm_monoid._proof_5
0.000017    10564 finsupp.add_comm_monoid._match_1
0.000018    10565 finsupp.add_comm_monoid._match_2
0.000018    10566 finsupp.add_comm_monoid._proof_6
0.000018    10567 finsupp.add_comm_monoid
0.000018    10568 add_monoid_algebra.add_comm_monoid
0.000019    10569 finsupp.single._proof_1
0.000017    10570 finsupp.single
0.000018    10571 add_monoid_algebra.has_mul
0.000018    10572 add_monoid_algebra.mul_def
0.359747    10573 finsupp.add_apply
0.000074    10574 finsupp.not_mem_support_iff
0.000024    10575 finsupp.sum_of_support_subset
0.000016    10576 finsupp.support_on_finset_subset
0.000015    10577 finsupp.support_zip_with
0.000015    10578 finsupp.support_add
0.000015    10579 finsupp.sum_add_index
0.000015    10580 function.update
0.000015    10581 finsupp.single_apply
0.000015    10582 set.indicator.equations._eqn_1
0.000017    10583 finsupp.single_eq_indicator
0.000019    10584 set.piecewise_eq_indicator
0.000016    10585 function.update_same
0.000015    10586 function.update_noteq
0.000015    10587 set.piecewise_singleton
0.000018    10588 finsupp.single_eq_update
0.000016    10589 function.funext_iff
0.000018    10590 function.forall_update_iff
0.000018    10591 function.update_eq_iff
0.000016    10592 function.update_eq_self
0.000014    10593 finsupp.single_zero
0.000016    10594 finsupp.single_eq_same
0.000015    10595 finsupp.single_eq_of_ne
0.000017    10596 finsupp.single_add
0.000016    10597 finsupp.sum_add
0.000015    10598 add_monoid_algebra.distrib._proof_1
0.000015    10599 finsupp.sum_zero
0.000017    10600 add_monoid_algebra.distrib._proof_2
0.000016    10601 add_monoid_algebra.distrib
0.000018    10602 add_monoid_algebra.semiring._proof_1
0.000018    10603 finsupp.sum_zero_index
0.000018    10604 add_monoid_algebra.mul_zero_class._proof_1
0.000018    10605 add_monoid_algebra.mul_zero_class._proof_2
0.000019    10606 add_monoid_algebra.mul_zero_class
0.000018    10607 add_monoid_algebra.semiring._proof_2
0.000019    10608 add_monoid_algebra.semiring._proof_3
0.000018    10609 finsupp.has_scalar._proof_1
0.000018    10610 finsupp.has_scalar
0.000018    10611 add_monoid_algebra.has_scalar
0.000019    10612 add_comm_monoid.nat_semimodule._proof_1
0.000018    10613 pow_mul
0.000018    10614 pow_mul'
0.000019    10615 mul_nsmul
0.000018    10616 add_comm_monoid.nat_semimodule._proof_2
0.000018    10617 commute.right_comm
0.000018    10618 commute.mul_pow
0.000019    10619 commute.all
0.000018    10620 mul_pow
0.000018    10621 nsmul_add
0.000018    10622 add_comm_monoid.nat_semimodule._proof_3
0.000018    10623 add_comm_monoid.nat_semimodule._proof_4
0.000019    10624 add_comm_monoid.nat_semimodule._proof_5
0.000025    10625 add_comm_monoid.nat_semimodule._proof_6
0.000019    10626 add_comm_monoid.nat_semimodule
0.000015    10627 add_monoid_algebra.semiring._proof_4
0.000015    10628 finsupp.coe_smul
0.000026    10629 add_monoid_algebra.semiring._proof_5
0.000020    10630 add_monoid_algebra.semiring._proof_6
0.000018    10631 finsupp.sum_finset_sum_index
0.000018    10632 finsupp.sum_sum_index
0.000018    10633 finsupp.support_single_subset
0.000018    10634 finsupp.sum_single_index
0.000018    10635 add_monoid_algebra.semigroup._proof_1
0.000018    10636 add_monoid_algebra.semigroup
0.000018    10637 add_monoid_algebra.semiring._proof_7
0.000018    10638 add_monoid_algebra.has_one
0.000018    10639 add_monoid_algebra.one_def
0.000018    10640 add_equiv
0.000017    10641 add_monoid_hom.has_add._proof_1
0.000018    10642 add_monoid_hom.has_add._proof_2
0.000018    10643 add_monoid_hom.has_add
0.000018    10644 add_equiv.to_fun
0.000018    10645 add_equiv.has_coe_to_fun
0.000016    10646 finsupp.lift_add_hom._proof_1
0.000014    10647 finsupp.lift_add_hom._proof_2
0.000017    10648 finsupp.single_add_hom._proof_1
0.000018    10649 finsupp.single_add_hom._proof_2
0.000018    10650 finsupp.single_add_hom
0.000018    10651 add_monoid_hom.coe_comp
0.000018    10652 add_monoid_hom.coe_mk
0.000017    10653 finsupp.single_add_hom_apply
0.000018    10654 finsupp.lift_add_hom._proof_3
0.000018    10655 add_submonoid.has_Inf._proof_1
0.000018    10656 add_submonoid.has_Inf._proof_2
0.000018    10657 add_submonoid.has_Inf
0.000017    10658 add_submonoid.closure
0.000018    10659 add_submonoid.has_top._proof_1
0.000018    10660 add_submonoid.has_top._proof_2
0.000018    10661 add_submonoid.has_top
0.000018    10662 add_monoid_hom.eq_of_eq_on_mtop
0.000017    10663 add_monoid_hom.eq_mlocus._proof_1
0.000019    10664 add_monoid_hom.eq_mlocus._proof_2
0.000017    10665 add_monoid_hom.eq_mlocus
0.000018    10666 add_submonoid.mem_Inf
0.000018    10667 add_submonoid.mem_closure
0.000018    10668 add_submonoid.subset_closure
0.000018    10669 complete_lattice_of_Inf._proof_1
0.000018    10670 complete_lattice_of_Inf._proof_2
0.000028    10671 complete_lattice_of_Inf._proof_3
0.000020    10672 set.mem_insert
0.000019    10673 complete_lattice_of_Inf._proof_4
0.000018    10674 set.mem_insert_of_mem
0.000018    10675 complete_lattice_of_Inf._proof_5
0.000018    10676 upper_bounds_union
0.000018    10677 lower_bounds_union
0.000018    10678 is_glb.lower_bounds_eq
0.000018    10679 lower_bounds_singleton
0.000018    10680 lower_bounds_insert
0.000018    10681 complete_lattice_of_Inf._proof_6
0.000018    10682 complete_lattice_of_Inf._proof_7
0.000018    10683 complete_lattice_of_Inf._proof_8
0.000018    10684 complete_lattice_of_Inf._proof_9
0.000018    10685 complete_lattice_of_Inf._proof_10
0.000018    10686 complete_lattice_of_Inf._proof_11
0.215887    10687 complete_lattice_of_Inf._proof_12
0.000075    10688 complete_lattice_of_Inf
0.000024    10689 is_glb.of_image
0.000015    10690 set_like.coe_subset_coe
0.000015    10691 is_glb_infi
0.000015    10692 is_glb_binfi
0.000016    10693 add_submonoid.complete_lattice._proof_1
0.000015    10694 add_submonoid.complete_lattice._proof_2
0.000015    10695 add_submonoid.complete_lattice._proof_3
0.000015    10696 add_submonoid.complete_lattice._proof_4
0.000020    10697 add_submonoid.complete_lattice._proof_5
0.000018    10698 add_submonoid.complete_lattice._proof_6
0.000016    10699 add_submonoid.complete_lattice._proof_7
0.000028    10700 add_submonoid.complete_lattice._proof_8
0.000023    10701 add_submonoid.has_inf._proof_1
0.000018    10702 add_submonoid.has_inf._match_1
0.000018    10703 add_submonoid.has_inf._match_2
0.000016    10704 add_submonoid.has_inf._proof_2
0.000015    10705 add_submonoid.has_inf
0.000015    10706 add_submonoid.complete_lattice._proof_9
0.000017    10707 add_submonoid.complete_lattice._proof_10
0.000019    10708 add_submonoid.complete_lattice._proof_11
0.000018    10709 add_submonoid.mem_top
0.000018    10710 add_submonoid.complete_lattice._proof_12
0.000018    10711 add_submonoid.has_bot._proof_1
0.000018    10712 add_submonoid.has_bot._proof_2
0.000018    10713 add_submonoid.has_bot
0.000018    10714 add_submonoid.mem_bot
0.000018    10715 add_submonoid.complete_lattice._proof_13
0.000018    10716 add_submonoid.complete_lattice._proof_14
0.000018    10717 add_submonoid.complete_lattice._proof_15
0.000018    10718 add_submonoid.complete_lattice._proof_16
0.000017    10719 add_submonoid.complete_lattice._proof_17
0.000018    10720 add_submonoid.complete_lattice
0.000018    10721 add_submonoid.closure_le
0.000018    10722 add_monoid_hom.eq_on_mclosure
0.000018    10723 add_monoid_hom.eq_of_eq_on_mdense
0.000018    10724 finsupp.fun_support_eq
0.000018    10725 finset.coe_empty
0.000018    10726 finset.coe_eq_empty
0.000017    10727 finsupp.coe_fn_inj
0.000018    10728 finsupp.coe_eq_zero
0.000018    10729 function.support_eq_empty_iff
0.000018    10730 finsupp.support_eq_empty
0.000019    10731 finsupp.erase._proof_1
0.000024    10732 finsupp.erase
0.000020    10733 finsupp.erase_same
0.000018    10734 finsupp.erase_ne
0.000018    10735 finsupp.single_add_erase
0.000018    10736 finsupp.support_erase
0.000018    10737 finsupp.induction
0.000018    10738 finsupp.add_closure_Union_range_single
0.000018    10739 finsupp.add_hom_ext
0.000018    10740 finsupp.add_hom_ext'
0.000018    10741 finsupp.lift_add_hom._proof_4
0.000018    10742 add_monoid_hom.add_apply
0.000018    10743 finsupp.lift_add_hom._proof_5
0.000017    10744 finsupp.lift_add_hom
0.000018    10745 add_equiv.inv_fun
0.000018    10746 add_equiv.left_inv
0.000018    10747 add_equiv.right_inv
0.000018    10748 add_equiv.to_equiv
0.000018    10749 equiv.apply_eq_iff_eq_symm_apply
0.000017    10750 finsupp.lift_add_hom_single_add_hom
0.000019    10751 finsupp.sum_single
0.000017    10752 add_monoid_algebra.mul_zero_one_class._proof_1
0.000019    10753 add_monoid_algebra.mul_zero_one_class._proof_2
0.000017    10754 add_monoid_algebra.mul_zero_one_class._proof_3
0.000019    10755 add_monoid_algebra.mul_zero_one_class._proof_4
0.000017    10756 add_monoid_algebra.mul_zero_one_class
0.000019    10757 add_monoid_algebra.semiring._proof_8
0.000017    10758 add_monoid_algebra.semiring._proof_9
0.000018    10759 add_monoid_algebra.semiring._proof_10
0.000018    10760 add_monoid_algebra.semiring._proof_11
0.000018    10761 add_monoid_algebra.semiring._proof_12
0.000018    10762 add_monoid_algebra.semiring._proof_13
0.000018    10763 add_monoid_algebra.semiring._proof_14
0.000027    10764 add_monoid_algebra.semiring._proof_15
0.000020    10765 add_monoid_algebra.semiring._proof_16
0.000018    10766 add_monoid_algebra.semiring._proof_17
0.000018    10767 add_monoid_algebra.semiring
0.000018    10768 polynomial.semiring
0.000019    10769 finsupp.ext_iff'
0.000018    10770 finsupp.finsupp.decidable_eq._proof_1
0.000018    10771 multiset.decidable_dforall_multiset._proof_1
0.000018    10772 multiset.decidable_forall_multiset._proof_1
0.000018    10773 multiset.decidable_forall_multiset._proof_2
0.000018    10774 multiset.decidable_forall_multiset
0.000018    10775 multiset.decidable_dforall_multiset._proof_2
0.000018    10776 multiset.decidable_dforall_multiset._match_1
0.000018    10777 multiset.decidable_dforall_multiset._proof_3
0.000018    10778 multiset.decidable_dforall_multiset
0.000018    10779 finset.decidable_dforall_finset
0.000018    10780 finsupp.finsupp.decidable_eq
0.000018    10781 with_bot.has_bot
0.000018    10782 with_bot.partial_order._proof_1
0.000018    10783 with_bot.partial_order._proof_2
0.000018    10784 with_bot.partial_order._proof_3
0.000019    10785 with_bot.partial_order._proof_4
0.000017    10786 with_bot.partial_order
0.000019    10787 with_bot.order_bot._proof_1
0.000018    10788 with_bot.order_bot._proof_2
0.182341    10789 with_bot.order_bot._proof_3
0.000073    10790 with_bot.order_bot._proof_4
0.000024    10791 with_bot.order_bot._proof_5
0.000016    10792 with_bot.order_bot
0.000015    10793 with_bot.semilattice_sup._proof_1
0.000015    10794 with_bot.semilattice_sup._proof_2
0.000015    10795 with_bot.semilattice_sup._proof_3
0.000015    10796 with_bot.semilattice_sup._proof_4
0.000015    10797 with_bot.semilattice_sup._proof_5
0.000027    10798 with_bot.semilattice_sup._proof_6
0.000022    10799 with_bot.semilattice_sup._proof_7
0.000016    10800 with_bot.semilattice_sup._proof_8
0.000015    10801 with_bot.semilattice_sup
0.000015    10802 polynomial.support
0.000019    10803 polynomial.degree
0.000018    10804 add_monoid_algebra.ring._proof_1
0.000016    10805 add_monoid_algebra.ring._proof_2
0.000015    10806 add_monoid_algebra.ring._proof_3
0.000017    10807 add_monoid_algebra.ring._proof_4
0.000019    10808 add_monoid_algebra.ring._proof_5
0.000018    10809 finsupp.add_group._proof_1
0.000018    10810 finsupp.add_group._proof_2
0.000016    10811 finsupp.add_group._proof_3
0.000015    10812 finsupp.add_group._proof_4
0.000015    10813 finsupp.add_group._proof_5
0.000017    10814 finsupp.has_sub._proof_1
0.000016    10815 finsupp.has_sub
0.000015    10816 finsupp.add_group._proof_6
0.000015    10817 finsupp.add_group._match_1
0.000015    10818 finsupp.add_group._proof_7
0.000018    10819 finsupp.add_group
0.000018    10820 add_monoid_algebra.add_group
0.000015    10821 add_monoid_algebra.ring._proof_6
0.000015    10822 add_monoid_algebra.ring._proof_7
0.000015    10823 add_monoid_algebra.ring._proof_8
0.000018    10824 add_monoid_algebra.ring._proof_9
0.000016    10825 add_monoid_algebra.ring._proof_10
0.000017    10826 add_monoid_algebra.ring._proof_11
0.000019    10827 add_monoid_algebra.ring._proof_12
0.000018    10828 add_monoid_algebra.ring._proof_13
0.000018    10829 add_monoid_algebra.ring._proof_14
0.000018    10830 add_monoid_algebra.ring._proof_15
0.000019    10831 add_monoid_algebra.ring
0.000018    10832 polynomial.ring
0.000018    10833 finsupp.semimodule._proof_1
0.000018    10834 finsupp.semimodule._proof_2
0.000018    10835 finsupp.semimodule._proof_3
0.000018    10836 finsupp.semimodule._proof_4
0.000018    10837 finsupp.semimodule._proof_5
0.000018    10838 finsupp.semimodule._proof_6
0.000018    10839 finsupp.semimodule
0.000018    10840 add_monoid_algebra.semimodule
0.000018    10841 polynomial.semimodule
0.000018    10842 finsupp.lsingle._proof_1
0.000019    10843 finsupp.map_range_single
0.000017    10844 finsupp.smul_single
0.000019    10845 finsupp.lsingle._proof_2
0.000018    10846 finsupp.lsingle
0.000018    10847 polynomial.monomial
0.000018    10848 polynomial.X
0.000018    10849 add_monoid_algebra.single_zero_ring_hom._proof_1
0.000018    10850 finsupp.single_add_hom.equations._eqn_1
0.000018    10851 monoid_algebra
0.000018    10852 monoid_algebra.add_comm_monoid
0.000018    10853 monoid_algebra.has_mul
0.000018    10854 monoid_algebra.single_mul_single
0.000018    10855 add_monoid_algebra.single_mul_single
0.000018    10856 add_monoid_algebra.single_zero_ring_hom._proof_2
0.000019    10857 add_monoid_algebra.single_zero_ring_hom._proof_3
0.000018    10858 add_monoid_algebra.single_zero_ring_hom._proof_4
0.000018    10859 add_monoid_algebra.single_zero_ring_hom
0.000018    10860 polynomial.C
0.000018    10861 polynomial.coeff
0.000019    10862 option.get_or_else._main
0.000018    10863 option.get_or_else
0.000018    10864 polynomial.nat_degree
0.000018    10865 polynomial.leading_coeff
0.000019    10866 polynomial.monic
0.000017    10867 polynomial.monic.equations._eqn_1
0.000019    10868 polynomial.monic.decidable._proof_1
0.000018    10869 polynomial.monic.decidable
0.000018    10870 option.rec_on
0.000018    10871 with_bot.well_founded_lt
0.000018    10872 polynomial.degree_lt_wf
0.000018    10873 polynomial.has_well_founded
0.000018    10874 with_bot.linear_order._proof_1
0.000019    10875 with_bot.linear_order._proof_2
0.000018    10876 with_bot.linear_order._proof_3
0.000018    10877 with_bot.linear_order._proof_4
0.000018    10878 with_bot.linear_order._proof_5
0.000018    10879 with_bot.linear_order._proof_6
0.000018    10880 with_bot.linear_order._proof_7
0.000018    10881 with_bot.linear_order._proof_8
0.000018    10882 with_bot.linear_order._proof_9
0.000019    10883 with_bot.linear_order
0.000018    10884 le_bot_iff
0.000018    10885 polynomial.support.equations._eqn_1
0.000018    10886 polynomial.support_eq_empty
0.000018    10887 option.lift_or_get._main.equations._eqn_1
0.000018    10888 option.lift_or_get.equations._eqn_1
0.000018    10889 option.lift_or_get_comm
0.000018    10890 finset.max._proof_1
0.000018    10891 option.lift_or_get_assoc
0.000018    10892 finset.max._proof_2
0.000018    10893 finset.max
0.000018    10894 finset.nonempty
0.000019    10895 multiset.exists_mem_of_ne_zero
0.000018    10896 finset.val_eq_zero
0.000018    10897 finset.nonempty_of_ne_empty
0.000018    10898 finset.eq_empty_or_nonempty
0.000018    10899 finset.max_of_mem
0.411371    10900 finset.max_of_nonempty
0.000074    10901 finset.max_empty
0.000028    10902 finset.max_eq_none
0.000023    10903 finset.max_eq_sup_with_bot
0.000016    10904 polynomial.degree.equations._eqn_1
0.000015    10905 polynomial.degree_eq_bot
0.000015    10906 finsupp.support_map_range
0.000015    10907 finsupp.support_neg
0.000015    10908 polynomial.support_neg
0.000015    10909 polynomial.degree_neg
0.000015    10910 finset.sup_mono
0.000019    10911 polynomial.support_add
0.000018    10912 finset.empty_union
0.000018    10913 finset.fold_empty
0.000016    10914 finset.sup_empty
0.000015    10915 finset.insert_eq
0.000017    10916 finset.union_assoc
0.000019    10917 finset.insert_union
0.000018    10918 sup_is_idempotent
0.000016    10919 finset.sup_insert
0.000015    10920 finset.sup_union
0.000015    10921 sup_eq_max
0.000016    10922 with_bot.lattice._proof_1
0.000019    10923 with_bot.lattice._proof_2
0.000017    10924 with_bot.lattice._proof_3
0.000016    10925 with_bot.lattice._proof_4
0.000015    10926 with_bot.lattice._proof_5
0.000015    10927 with_bot.lattice._proof_6
0.000018    10928 with_bot.lattice._proof_7
0.000015    10929 with_bot.semilattice_inf._proof_1
0.000018    10930 with_bot.semilattice_inf._proof_2
0.000018    10931 with_bot.semilattice_inf._proof_3
0.000018    10932 with_bot.semilattice_inf._proof_4
0.000019    10933 with_bot.semilattice_inf._proof_5
0.000017    10934 with_bot.semilattice_inf._proof_6
0.000019    10935 with_bot.semilattice_inf._proof_7
0.000018    10936 with_bot.semilattice_inf._proof_8
0.000018    10937 with_bot.semilattice_inf
0.000018    10938 with_bot.lattice._proof_8
0.000018    10939 with_bot.lattice._proof_9
0.000018    10940 with_bot.lattice._proof_10
0.000018    10941 with_bot.lattice
0.000018    10942 lattice.cases_on
0.000018    10943 semilattice_sup.cases_on
0.000018    10944 semilattice_sup.no_confusion_type
0.000018    10945 semilattice_sup.no_confusion
0.000018    10946 semilattice_sup.mk.inj
0.000018    10947 semilattice_sup.mk.inj_arrow
0.000018    10948 semilattice_inf.cases_on
0.000018    10949 semilattice_inf.no_confusion_type
0.000018    10950 semilattice_inf.no_confusion
0.000018    10951 semilattice_inf.mk.inj
0.000018    10952 semilattice_inf.mk.inj_arrow
0.000019    10953 partial_order.cases_on
0.000018    10954 partial_order.no_confusion_type
0.000018    10955 partial_order.no_confusion
0.000018    10956 partial_order.mk.inj
0.000018    10957 partial_order.mk.inj_arrow
0.000018    10958 preorder.cases_on
0.000018    10959 preorder.no_confusion_type
0.000018    10960 preorder.no_confusion
0.000018    10961 preorder.mk.inj
0.000018    10962 preorder.mk.inj_arrow
0.000018    10963 partial_order.to_preorder_injective
0.000018    10964 has_le.cases_on
0.000018    10965 has_le.no_confusion_type
0.000018    10966 has_le.no_confusion
0.000018    10967 has_le.mk.inj
0.000018    10968 has_le.mk.inj_arrow
0.000018    10969 preorder.to_has_le_injective
0.000018    10970 has_le.ext
0.000018    10971 partial_order.ext
0.000018    10972 eq_of_forall_ge_iff
0.000018    10973 semilattice_sup.ext_sup
0.000018    10974 semilattice_sup.ext
0.000019    10975 eq_of_forall_le_iff
0.000018    10976 semilattice_inf.ext_inf
0.000028    10977 semilattice_inf.ext
0.000015    10978 lattice.ext
0.000015    10979 with_bot.lattice_eq_DLO
0.000018    10980 with_bot.sup_eq_max
0.000019    10981 polynomial.degree_add_le
0.000018    10982 polynomial.degree_erase_le
0.000018    10983 polynomial.nat_degree.equations._eqn_1
0.000018    10984 option.eq_none_iff_forall_not_mem
0.000018    10985 polynomial.degree_eq_nat_degree
0.000018    10986 multiset.mem_erase_of_nodup
0.000018    10987 finset.not_mem_erase
0.000018    10988 option.lift_or_get_choice
0.000018    10989 eq_min
0.000018    10990 min_eq_left
0.000019    10991 min_comm
0.000018    10992 min_eq_right
0.000018    10993 min_choice
0.000018    10994 max_choice
0.000018    10995 option.lift_or_get_idem
0.000018    10996 max_idem
0.000018    10997 finset.max_insert
0.000018    10998 finset.mem_of_max
0.000018    10999 polynomial.degree_erase_lt
0.000018    11000 polynomial.degree_sub_lt
0.000018    11001 with_bot.add_monoid
0.000018    11002 polynomial.degree_zero
0.000018    11003 with_bot.bot_add
0.000018    11004 polynomial.X.equations._eqn_1
0.000018    11005 polynomial.monomial_mul_monomial
0.000016    11006 polynomial.single_eq_C_mul_X
0.000018    11007 polynomial.degree_sum_le
0.000017    11008 finset.sup_mono_fun
0.000018    11009 polynomial.ext
0.000018    11010 finsupp.smul_single'
0.000019    11011 polynomial.X_pow_eq_monomial
0.000018    11012 polynomial.monomial_eq_smul_X
0.000018    11013 finsupp.smul_apply
0.000018    11014 polynomial.coeff_smul
0.000018    11015 add_monoid_algebra.has_coe_to_fun
0.000018    11016 monoid_algebra.has_coe_to_fun
0.000018    11017 monoid_algebra.mul_def
0.000017    11018 finsupp.zero_apply
0.000019    11019 finsupp.apply_add_hom._proof_1
0.000019    11020 finsupp.apply_add_hom._proof_2
0.000027    11021 finsupp.apply_add_hom
0.000020    11022 finsupp.sum_apply
0.000018    11023 monoid_algebra.mul_apply
0.000018    11024 finset.sum_eq_single_of_mem
0.000018    11025 finset.sum_eq_single
0.295563    11026 not_eq_of_eq_false
0.000073    11027 finset.sum_eq_zero
0.000025    11028 finset.sum_dite_eq'
0.000015    11029 finset.sum_ite_eq'
0.000015    11030 monoid_algebra.single_mul_apply_aux
0.000015    11031 add_monoid_algebra.single_mul_apply_aux
0.000015    11032 add_monoid_algebra.single_zero_mul_apply
0.000015    11033 polynomial.coeff_C_mul
0.000015    11034 polynomial.C_mul_X_pow_eq_monomial
0.000015    11035 distrib_mul_action_hom
0.000018    11036 distrib_mul_action_hom.to_fun
0.000016    11037 distrib_mul_action_hom.has_coe_to_fun
0.000014    11038 distrib_mul_action_hom.map_zero'
0.000015    11039 distrib_mul_action_hom.map_zero
0.000015    11040 linear_map.to_distrib_mul_action_hom._proof_1
0.000017    11041 linear_map.to_distrib_mul_action_hom
0.000016    11042 linear_map.map_zero
0.000015    11043 finsupp.support_single_ne_zero
0.000017    11044 polynomial.support_monomial
0.000019    11045 polynomial.degree_monomial
0.000018    11046 polynomial.degree_monomial_le
0.000015    11047 polynomial.degree_C_mul_X_pow_le
0.000015    11048 with_top.add_semigroup._proof_1
0.000015    11049 with_top.add_semigroup
0.000017    11050 with_bot.add_semigroup
0.000016    11051 with_bot.coe_add
0.000018    11052 with_bot.add_comm_monoid
0.000019    11053 with_bot.ordered_add_comm_monoid._proof_1
0.000018    11054 with_bot.ordered_add_comm_monoid._proof_2
0.000018    11055 with_bot.ordered_add_comm_monoid._proof_3
0.000018    11056 with_bot.ordered_add_comm_monoid._proof_4
0.000018    11057 with_bot.ordered_add_comm_monoid._proof_5
0.000018    11058 with_bot.ordered_add_comm_monoid._proof_6
0.000018    11059 with_bot.ordered_add_comm_monoid._proof_7
0.000018    11060 with_bot.ordered_add_comm_monoid._proof_8
0.000018    11061 with_bot.ordered_add_comm_monoid._proof_9
0.000018    11062 with_bot.ordered_add_comm_monoid._proof_10
0.000019    11063 with_bot.ordered_add_comm_monoid._proof_11
0.000017    11064 with_bot.ordered_add_comm_monoid._proof_12
0.000019    11065 with_bot.ordered_add_comm_monoid
0.000018    11066 polynomial.le_degree_of_ne_zero
0.000018    11067 polynomial.coeff.equations._eqn_1
0.000017    11068 polynomial.mem_support_iff
0.000019    11069 polynomial.degree_mul_le
0.000017    11070 list.nat.antidiagonal
0.000018    11071 multiset.nat.antidiagonal
0.000018    11072 list.nat.nodup_antidiagonal
0.000018    11073 multiset.nat.nodup_antidiagonal
0.000018    11074 finset.nat.antidiagonal
0.000018    11075 multiset.product
0.000018    11076 list.product
0.000018    11077 multiset.product.equations._eqn_1
0.000018    11078 list.product.equations._eqn_1
0.000018    11079 multiset.coe_product
0.000018    11080 list.nodup_product
0.000018    11081 multiset.nodup_product
0.000018    11082 finset.product._proof_1
0.000018    11083 finset.product
0.000018    11084 prod.decidable_eq._match_2
0.000018    11085 prod.decidable_eq._match_1
0.000018    11086 prod.decidable_eq._main
0.000018    11087 prod.decidable_eq
0.000017    11088 multiset.mem_product
0.000019    11089 finset.mem_product
0.000018    11090 finset.product_eq_bUnion
0.000018    11091 finset.sum_product
0.000017    11092 finset.sum_filter
0.000019    11093 monoid_algebra.mul_apply_antidiagonal
0.000017    11094 add_monoid_algebra.mul_apply_antidiagonal
0.000016    11095 finset.nat.antidiagonal.equations._eqn_1
0.000015    11096 multiset.nat.antidiagonal.equations._eqn_1
0.000017    11097 list.nat.antidiagonal.equations._eqn_1
0.000018    11098 list.nat.mem_antidiagonal
0.000018    11099 multiset.nat.mem_antidiagonal
0.000018    11100 finset.nat.mem_antidiagonal
0.000018    11101 polynomial.coeff_mul
0.000018    11102 polynomial.coeff_eq_zero_of_degree_lt
0.000018    11103 nat.conditionally_complete_linear_order_bot._proof_1
0.000018    11104 nat.conditionally_complete_linear_order_bot._proof_2
0.000018    11105 nat.conditionally_complete_linear_order_bot._proof_3
0.000018    11106 nat.conditionally_complete_linear_order_bot._proof_4
0.000019    11107 nat.conditionally_complete_linear_order_bot._proof_5
0.000018    11108 nat.conditionally_complete_linear_order_bot._proof_6
0.000018    11109 nat.conditionally_complete_linear_order_bot._proof_7
0.000018    11110 nat.conditionally_complete_linear_order_bot._proof_8
0.000018    11111 nat.conditionally_complete_linear_order_bot._proof_9
0.000018    11112 nat.conditionally_complete_linear_order_bot._proof_10
0.000018    11113 nat.has_Sup
0.000018    11114 nat.has_Inf
0.000018    11115 nat.Sup_def
0.000018    11116 nat.conditionally_complete_linear_order_bot._proof_11
0.000018    11117 nat.conditionally_complete_linear_order_bot._proof_12
0.000018    11118 nat.Inf_def
0.000018    11119 nat.conditionally_complete_linear_order_bot._proof_13
0.000018    11120 nat.conditionally_complete_linear_order_bot._proof_14
0.000018    11121 nat.conditionally_complete_linear_order_bot._proof_15
0.000018    11122 nat.conditionally_complete_linear_order_bot._proof_16
0.191938    11123 nat.conditionally_complete_linear_order_bot._proof_17
0.000074    11124 nat.conditionally_complete_linear_order_bot
0.000024    11125 with_bot.none_eq_bot
0.000016    11126 with_bot.get_or_else_bot
0.000015    11127 with_bot.some_eq_coe
0.000015    11128 option.get_or_else_coe
0.000016    11129 with_bot.get_or_else_bot_le_iff
0.000015    11130 with_bot.gi_get_or_else_bot._proof_1
0.000015    11131 with_bot.gi_get_or_else_bot._proof_2
0.000018    11132 with_bot.gi_get_or_else_bot._proof_3
0.000016    11133 with_bot.gi_get_or_else_bot
0.000017    11134 polynomial.degree_le_nat_degree
0.000018    11135 with_bot.coe_lt_coe
0.000016    11136 not_lt_iff_eq_or_lt
0.000015    11137 add_left_cancel_iff
0.000017    11138 polynomial.coeff_mul_degree_add_degree
0.000019    11139 polynomial.leading_coeff_zero
0.000018    11140 polynomial.degree_mul'
0.000016    11141 polynomial.monic.leading_coeff
0.000015    11142 by_contradiction
0.000015    11143 polynomial.leading_coeff_eq_zero
0.000017    11144 polynomial.degree_mul_monic
0.000015    11145 polynomial.degree_C_mul_X_pow
0.000018    11146 polynomial.leading_coeff.equations._eqn_1
0.000018    11147 polynomial.nat_degree_eq_of_degree_eq_some
0.000018    11148 polynomial.nat_degree_mul'
0.000020    11149 polynomial.leading_coeff_mul'
0.000027    11150 polynomial.leading_coeff_mul_monic
0.000022    11151 polynomial.C_1
0.000016    11152 polynomial.nat_degree_C_mul_X_pow
0.000015    11153 polynomial.nat_degree_monomial
0.000015    11154 polynomial.leading_coeff_monomial
0.000017    11155 polynomial.leading_coeff_C_mul_X_pow
0.000018    11156 polynomial.leading_coeff_X_pow
0.000017    11157 polynomial.monic_X_pow
0.000018    11158 polynomial.leading_coeff_mul_X_pow
0.000018    11159 polynomial.leading_coeff_C
0.000018    11160 polynomial.monic.ne_zero
0.000018    11161 polynomial.C_0
0.000019    11162 polynomial.nontrivial.of_polynomial_ne
0.000017    11163 polynomial.monic.ne_zero_of_polynomial_ne
0.000018    11164 polynomial.div_wf_lemma
0.000018    11165 polynomial.div_mod_by_monic_aux._main._pack
0.000018    11166 polynomial.div_mod_by_monic_aux._main
0.000018    11167 polynomial.div_mod_by_monic_aux
0.000018    11168 polynomial.mod_by_monic
0.000018    11169 polynomial.div_by_monic
0.000018    11170 eq_add_neg_iff_add_eq
0.000017    11171 eq_sub_iff_add_eq
0.000018    11172 polynomial.mod_by_monic.equations._eqn_1
0.000016    11173 polynomial.div_mod_by_monic_aux._main._pack.equations._eqn_1
0.000018    11174 polynomial.div_mod_by_monic_aux._main.equations._eqn_1
0.000018    11175 polynomial.div_mod_by_monic_aux.equations._eqn_1
0.000018    11176 polynomial.div_by_monic.equations._eqn_1
0.000018    11177 sub_add_eq_sub_sub
0.000018    11178 add_monoid_algebra.comm_ring._proof_1
0.000018    11179 add_monoid_algebra.comm_ring._proof_2
0.000018    11180 add_monoid_algebra.comm_ring._proof_3
0.000017    11181 add_monoid_algebra.comm_ring._proof_4
0.000018    11182 add_monoid_algebra.comm_ring._proof_5
0.000028    11183 add_monoid_algebra.comm_ring._proof_6
0.000021    11184 add_monoid_algebra.comm_ring._proof_7
0.000019    11185 add_monoid_algebra.comm_ring._proof_8
0.000018    11186 add_monoid_algebra.comm_ring._proof_9
0.000018    11187 add_monoid_algebra.comm_ring._proof_10
0.000018    11188 add_monoid_algebra.comm_ring._proof_11
0.000018    11189 add_monoid_algebra.comm_ring._proof_12
0.000017    11190 add_monoid_algebra.comm_ring._proof_13
0.000019    11191 add_monoid_algebra.comm_ring._proof_14
0.000017    11192 add_monoid_algebra.comm_ring._proof_15
0.000018    11193 add_monoid_algebra.comm_semiring._proof_1
0.000018    11194 add_monoid_algebra.comm_semiring._proof_2
0.000018    11195 add_monoid_algebra.comm_semiring._proof_3
0.000018    11196 add_monoid_algebra.comm_semiring._proof_4
0.000018    11197 add_monoid_algebra.comm_semiring._proof_5
0.000018    11198 add_monoid_algebra.comm_semiring._proof_6
0.000018    11199 add_monoid_algebra.comm_semiring._proof_7
0.000018    11200 add_monoid_algebra.comm_semiring._proof_8
0.000018    11201 add_monoid_algebra.comm_semiring._proof_9
0.000018    11202 add_monoid_algebra.comm_semiring._proof_10
0.000018    11203 add_monoid_algebra.comm_semiring._proof_11
0.000018    11204 add_monoid_algebra.comm_semiring._proof_12
0.000018    11205 add_monoid_algebra.comm_semiring._proof_13
0.000018    11206 add_monoid_algebra.comm_semiring._proof_14
0.000018    11207 add_monoid_algebra.comm_semiring._proof_15
0.000018    11208 monoid_algebra.distrib._proof_1
0.000018    11209 monoid_algebra.distrib._proof_2
0.000017    11210 monoid_algebra.distrib
0.000018    11211 monoid_algebra.semiring._proof_1
0.000018    11212 monoid_algebra.mul_zero_class._proof_1
0.000018    11213 monoid_algebra.mul_zero_class._proof_2
0.000018    11214 monoid_algebra.mul_zero_class
0.000018    11215 monoid_algebra.semiring._proof_2
0.000018    11216 monoid_algebra.semiring._proof_3
0.393784    11217 monoid_algebra.semiring._proof_4
0.000076    11218 monoid_algebra.semiring._proof_5
0.000025    11219 monoid_algebra.semiring._proof_6
0.000015    11220 monoid_algebra.semigroup._proof_1
0.000015    11221 monoid_algebra.semigroup
0.000015    11222 monoid_algebra.semiring._proof_7
0.000015    11223 monoid_algebra.has_one
0.000015    11224 monoid_algebra.one_def
0.000014    11225 monoid_algebra.mul_zero_one_class._proof_1
0.000015    11226 monoid_algebra.mul_zero_one_class._proof_2
0.000017    11227 monoid_algebra.mul_zero_one_class._proof_3
0.000019    11228 monoid_algebra.mul_zero_one_class._proof_4
0.000018    11229 monoid_algebra.mul_zero_one_class
0.000016    11230 monoid_algebra.semiring._proof_8
0.000015    11231 monoid_algebra.semiring._proof_9
0.000014    11232 monoid_algebra.semiring._proof_10
0.000019    11233 monoid_algebra.semiring._proof_11
0.000016    11234 monoid_algebra.semiring._proof_12
0.000018    11235 monoid_algebra.semiring._proof_13
0.000018    11236 monoid_algebra.semiring._proof_14
0.000016    11237 monoid_algebra.semiring._proof_15
0.000014    11238 monoid_algebra.semiring._proof_16
0.000015    11239 monoid_algebra.semiring._proof_17
0.000015    11240 monoid_algebra.semiring
0.000018    11241 monoid_algebra.comm_semiring._proof_1
0.000018    11242 monoid_algebra.comm_semiring._proof_2
0.000018    11243 monoid_algebra.comm_semiring._proof_3
0.000017    11244 monoid_algebra.comm_semiring._proof_4
0.000019    11245 monoid_algebra.comm_semiring._proof_5
0.000017    11246 monoid_algebra.comm_semiring._proof_6
0.000016    11247 monoid_algebra.comm_semiring._proof_7
0.000015    11248 monoid_algebra.comm_semiring._proof_8
0.000017    11249 monoid_algebra.comm_semiring._proof_9
0.000018    11250 monoid_algebra.comm_semiring._proof_10
0.000018    11251 monoid_algebra.comm_semiring._proof_11
0.000018    11252 monoid_algebra.comm_semiring._proof_12
0.000018    11253 monoid_algebra.comm_semiring._proof_13
0.000018    11254 monoid_algebra.comm_semiring._proof_14
0.000018    11255 monoid_algebra.comm_semiring._proof_15
0.000018    11256 finsupp.sum.equations._eqn_1
0.000018    11257 finset.sum_comm
0.000018    11258 monoid_algebra.comm_semiring._proof_16
0.000017    11259 monoid_algebra.comm_semiring
0.000018    11260 add_monoid_algebra.comm_semiring._proof_16
0.000018    11261 add_monoid_algebra.comm_semiring
0.000018    11262 add_monoid_algebra.comm_ring._proof_16
0.000018    11263 add_monoid_algebra.comm_ring
0.000018    11264 polynomial.comm_ring
0.000018    11265 polynomial.mod_by_monic_eq_sub_mul_div
0.000018    11266 polynomial.mod_by_monic_add_div
0.000018    11267 polynomial.monic.def
0.000018    11268 polynomial.subsingleton_of_monic_zero
0.000018    11269 polynomial.degree_mod_by_monic_lt
0.000018    11270 exists_eq_mul_right_of_dvd
0.000017    11271 polynomial.dvd_iff_mod_by_monic_eq_zero
0.000019    11272 polynomial.decidable_dvd_monic
0.000017    11273 polynomial.monic_one
0.000019    11274 eq_zero_of_zero_eq_one
0.000017    11275 unique_of_zero_eq_one
0.000018    11276 subsingleton_iff_zero_eq_one
0.000018    11277 subsingleton_of_zero_eq_one
0.000018    11278 polynomial.monic_mul
0.000020    11279 polynomial.monic_pow
0.000026    11280 ring_hom.map_neg
0.000020    11281 polynomial.C_neg
0.000019    11282 with_bot.has_one
0.000018    11283 eq_of_zero_eq_one
0.000018    11284 polynomial.monic_of_degree_le
0.000018    11285 polynomial.degree_X_pow_le
0.000018    11286 polynomial.coeff_add
0.000018    11287 polynomial.monomial.equations._eqn_1
0.000018    11288 polynomial.coeff_X_pow
0.000018    11289 polynomial.monic_X_pow_add
0.000018    11290 with_bot.has_zero
0.000018    11291 polynomial.degree_C
0.000018    11292 polynomial.degree_C_le
0.000018    11293 polynomial.monic_X_add_C
0.000018    11294 polynomial.monic_X_sub_C
0.000018    11295 polynomial.root_multiplicity._proof_1
0.000018    11296 multiplicity.finite
0.000018    11297 polynomial.comm_semiring
0.000017    11298 le_mul_of_one_le_right
0.000018    11299 polynomial.nat_degree_C
0.000019    11300 polynomial.nat_degree_one
0.000017    11301 polynomial.nat_degree_zero
0.000018    11302 zero_pow
0.000018    11303 polynomial.leading_coeff_one
0.000018    11304 polynomial.leading_coeff_pow'
0.000018    11305 polynomial.degree_pow'
0.000018    11306 with_bot.coe_zero
0.000018    11307 with_bot.coe_nsmul
0.000018    11308 polynomial.nat_degree_pow'
0.000018    11309 not_lt_bot
0.000018    11310 finsupp.inhabited
0.000018    11311 finsupp.unique_of_right._proof_1
0.000018    11312 finsupp.unique_of_right
0.000018    11313 add_monoid_algebra.unique
0.000018    11314 polynomial.unique
0.000018    11315 polynomial.multiplicity_finite_of_degree_pos_of_monic
0.000018    11316 max_eq_left_of_lt
0.000018    11317 polynomial.degree_le_degree
0.000018    11318 polynomial.coeff_nat_degree_eq_zero_of_degree_lt
0.000018    11319 polynomial.ne_zero_of_degree_gt
0.000018    11320 polynomial.degree_add_eq_left_of_degree_lt
0.000018    11321 polynomial.degree_sub_eq_left_of_degree_lt
0.396202    11322 polynomial.degree_X
0.000075    11323 polynomial.degree_X_sub_C
0.000024    11324 polynomial.multiplicity_X_sub_C_finite
0.000015    11325 polynomial.root_multiplicity
0.000015    11326 polynomial.eval₂
0.000016    11327 ring_hom.id._proof_1
0.000014    11328 ring_hom.id._proof_2
0.000015    11329 ring_hom.id._proof_3
0.000015    11330 ring_hom.id._proof_4
0.000015    11331 ring_hom.id
0.000018    11332 polynomial.eval
0.000018    11333 polynomial.is_root
0.000016    11334 polynomial.eval₂_C
0.000015    11335 polynomial.eval_C
0.000032    11336 polynomial.coeff_monomial
0.000017    11337 polynomial.coeff_C_zero
0.000024    11338 polynomial.coeff_C
0.000028    11339 polynomial.eq_C_of_degree_le_zero
0.000019    11340 polynomial.is_root.equations._eqn_1
0.000018    11341 polynomial.degree_pos_of_root
0.000018    11342 polynomial.is_root.def
0.000016    11343 add_monoid_hom.mul_right._proof_1
0.000015    11344 add_monoid_hom.mul_right._proof_2
0.000014    11345 add_monoid_hom.mul_right
0.000017    11346 add_monoid_algebra.lift_nc
0.000019    11347 to_add_one
0.000018    11348 powers_hom._proof_1
0.000018    11349 powers_hom._proof_2
0.000018    11350 of_add_nsmul
0.000018    11351 nat.cast_id
0.000018    11352 of_add_to_add
0.000018    11353 monoid_hom.mk_coe
0.000018    11354 powers_hom._proof_3
0.000018    11355 powers_hom
0.000018    11356 polynomial.eval₂_eq_lift_nc
0.000018    11357 monoid_algebra.lift_nc
0.000028    11358 add_monoid_hom.map_finsupp_sum
0.000020    11359 finsupp.lift_add_hom_apply_single
0.000018    11360 monoid_algebra.lift_nc_single
0.000018    11361 is_add_monoid_hom.is_add_monoid_hom_mul_right
0.000019    11362 finset.sum_mul
0.000018    11363 finsupp.sum_mul
0.000018    11364 finsupp.mul_sum
0.000018    11365 ring_hom.coe_add_monoid_hom
0.000018    11366 monoid_algebra.lift_nc_mul
0.000018    11367 add_monoid_algebra.lift_nc_mul
0.000018    11368 polynomial.eval₂_mul_noncomm
0.000018    11369 polynomial.eval₂_mul
0.000018    11370 polynomial.eval_mul
0.000018    11371 polynomial.eval₂_add
0.000018    11372 polynomial.eval₂_zero
0.000018    11373 polynomial.eval₂_neg
0.000018    11374 polynomial.eval₂_sub
0.000018    11375 polynomial.eval_sub
0.000018    11376 polynomial.eval₂_X
0.000018    11377 polynomial.eval_X
0.000018    11378 nontrivial_of_ne
0.000018    11379 polynomial.not_monic_zero
0.000026    11380 polynomial.ne_zero_of_monic
0.000024    11381 polynomial.mod_by_monic_X_sub_C_eq_C_eval
0.000018    11382 polynomial.mul_div_by_monic_eq_iff_is_root
0.000019    11383 polynomial.mod_by_monic_eq_self_iff
0.000018    11384 polynomial.div_by_monic_eq_zero_iff
0.000018    11385 with_bot.bot_lt_some
0.000017    11386 polynomial.degree_add_eq_right_of_degree_lt
0.000019    11387 polynomial.degree_add_div_by_monic
0.000017    11388 nat.lt_add_of_pos_left
0.000019    11389 polynomial.degree_div_by_monic_lt
0.000017    11390 domain.to_nontrivial
0.000019    11391 multiset.card_cons
0.000018    11392 with_top.add_comm_semigroup._proof_1
0.000018    11393 with_top.add_comm_semigroup._proof_2
0.000018    11394 with_top.add_comm_semigroup
0.000018    11395 with_bot.add_comm_semigroup
0.000018    11396 roption
0.000018    11397 roption.dom
0.000018    11398 roption.get
0.000018    11399 enat
0.000018    11400 enat.find
0.000018    11401 multiplicity
0.000018    11402 multiplicity.equations._eqn_1
0.000018    11403 polynomial.root_multiplicity.equations._eqn_1
0.000018    11404 enat.find_get
0.000018    11405 polynomial.root_multiplicity_eq_multiplicity
0.000018    11406 integral_domain.to_comm_cancel_monoid_with_zero._proof_1
0.000018    11407 integral_domain.to_comm_cancel_monoid_with_zero._proof_2
0.000018    11408 integral_domain.to_comm_cancel_monoid_with_zero._proof_3
0.000018    11409 integral_domain.to_comm_cancel_monoid_with_zero._proof_4
0.000018    11410 integral_domain.to_comm_cancel_monoid_with_zero._proof_5
0.000018    11411 integral_domain.to_comm_cancel_monoid_with_zero._proof_6
0.000018    11412 integral_domain.to_comm_cancel_monoid_with_zero._proof_7
0.000018    11413 integral_domain.to_comm_cancel_monoid_with_zero._proof_8
0.000018    11414 integral_domain.to_comm_cancel_monoid_with_zero._proof_9
0.000021    11415 integral_domain.to_comm_cancel_monoid_with_zero._proof_10
0.000026    11416 integral_domain.to_comm_cancel_monoid_with_zero
0.000019    11417 polynomial.integral_domain._proof_1
0.000018    11418 polynomial.integral_domain._proof_2
0.000018    11419 polynomial.integral_domain._proof_3
0.000018    11420 polynomial.integral_domain._proof_4
0.000018    11421 polynomial.integral_domain._proof_5
0.000018    11422 polynomial.integral_domain._proof_6
0.000016    11423 polynomial.integral_domain._proof_7
0.000017    11424 polynomial.integral_domain._proof_8
0.000018    11425 polynomial.integral_domain._proof_9
0.000018    11426 polynomial.integral_domain._proof_10
0.000019    11427 polynomial.integral_domain._proof_11
0.000018    11428 polynomial.integral_domain._proof_12
0.489691    11429 polynomial.integral_domain._proof_13
0.000076    11430 polynomial.integral_domain._proof_14
0.000024    11431 polynomial.integral_domain._proof_15
0.000016    11432 polynomial.integral_domain._proof_16
0.000015    11433 exists_ne
0.000015    11434 finsupp.ext_iff
0.000015    11435 ite_eq_right_iff
0.000014    11436 set.indicator_apply_eq_zero
0.000015    11437 finsupp.single_eq_zero
0.000018    11438 finsupp.nontrivial
0.000018    11439 add_monoid_algebra.nontrivial
0.000018    11440 polynomial.nontrivial
0.000018    11441 polynomial.integral_domain._proof_17
0.000016    11442 polynomial.leading_coeff_mul
0.000015    11443 polynomial.no_zero_divisors
0.000015    11444 polynomial.integral_domain._proof_18
0.000017    11445 polynomial.integral_domain
0.000019    11446 prime
0.000017    11447 multiplicity.finite_of_finite_mul_left
0.000016    11448 multiplicity.finite_of_finite_mul_right
0.000015    11449 nat.sub_add_comm
0.000015    11450 nat.sub_lt_self
0.000017    11451 multiplicity.finite_mul_aux
0.000018    11452 multiplicity.finite_mul
0.000018    11453 multiplicity.finite_mul_iff
0.000016    11454 polynomial.degree_X_pow
0.000015    11455 polynomial.degree_X_pow_sub_C
0.000014    11456 polynomial.X_pow_sub_C_ne_zero
0.000018    11457 polynomial.X_sub_C_ne_zero
0.000016    11458 polynomial.eval.equations._eqn_1
0.000017    11459 polynomial.eval₂.equations._eqn_1
0.000018    11460 ring_hom.id_apply
0.000035    11461 polynomial.le_nat_degree_of_ne_zero
0.000019    11462 polynomial.le_nat_degree_of_mem_supp
0.000019    11463 polynomial.supp_subset_range
0.000018    11464 polynomial.sum_over_range'
0.000019    11465 polynomial.nat_degree_le_iff_degree_le
0.000018    11466 polynomial.nat_degree_le_of_degree_le
0.000018    11467 polynomial.nat_degree_mul_le
0.000018    11468 polynomial.degree_sub_le
0.000018    11469 polynomial.degree_X_le
0.000018    11470 polynomial.nat_degree_X_sub_C_le
0.000018    11471 finset.prod_insert
0.000018    11472 finset.prod_range_succ_comm
0.000018    11473 finset.prod_range_succ
0.000018    11474 finset.prod_range_succ'
0.000018    11475 finset.sum_range_succ'
0.000018    11476 polynomial.coeff_sub
0.000018    11477 add_right_cancel_iff
0.000018    11478 polynomial.coeff_mul_X_pow
0.000018    11479 polynomial.coeff_mul_X
0.000018    11480 monoid_algebra.mul_single_apply_aux
0.000018    11481 add_monoid_algebra.mul_single_apply_aux
0.000018    11482 add_monoid_algebra.mul_single_zero_apply
0.000018    11483 polynomial.coeff_mul_C
0.000018    11484 polynomial.coeff_mul_X_sub_C
0.000018    11485 finset.prod_empty
0.000018    11486 finset.prod_range_zero
0.000018    11487 finset.prod_range_induction
0.000017    11488 finset.sum_range_induction
0.000018    11489 tactic.abel.unfold_sub
0.000018    11490 norm_num.subst_into_add
0.000018    11491 gpow._main
0.000018    11492 gpow
0.000018    11493 multiplicative.div_inv_monoid._proof_1
0.000018    11494 multiplicative.div_inv_monoid._proof_2
0.000018    11495 multiplicative.div_inv_monoid._proof_3
0.000018    11496 multiplicative.div_inv_monoid._proof_4
0.000018    11497 multiplicative.div_inv_monoid._proof_5
0.000018    11498 multiplicative.has_inv
0.000018    11499 multiplicative.has_div
0.000018    11500 multiplicative.div_inv_monoid
0.000018    11501 multiplicative.group._proof_1
0.000017    11502 multiplicative.group._proof_2
0.000018    11503 multiplicative.group._proof_3
0.000018    11504 multiplicative.group._proof_4
0.000018    11505 multiplicative.group._proof_5
0.000018    11506 multiplicative.group._proof_6
0.000018    11507 multiplicative.group
0.000018    11508 gsmul
0.000018    11509 tactic.abel.termg
0.000018    11510 tactic.abel.termg.equations._eqn_1
0.000015    11511 one_gsmul
0.000015    11512 tactic.abel.term_atomg
0.000017    11513 norm_num.subst_into_neg
0.000019    11514 group.has_pow
0.000017    11515 one_inv
0.000019    11516 gpow_neg
0.000017    11517 neg_gsmul
0.000018    11518 tactic.abel.term_neg
0.000018    11519 int.induction_on
0.000018    11520 gpow_zero
0.000018    11521 gpow_coe_nat
0.000018    11522 right_cancel_semigroup
0.000018    11523 right_cancel_semigroup.mul
0.000018    11524 right_cancel_semigroup.mul_assoc
0.000018    11525 right_cancel_semigroup.to_semigroup
0.000018    11526 right_cancel_monoid.mul_right_cancel
0.000018    11527 right_cancel_monoid.to_right_cancel_semigroup
0.000018    11528 inv_mul_cancel_left
0.000018    11529 group.to_cancel_monoid._proof_1
0.000018    11530 mul_right_inv
0.000018    11531 mul_inv_cancel_right
0.000018    11532 group.to_cancel_monoid._proof_2
0.000018    11533 group.to_cancel_monoid
0.000018    11534 right_cancel_semigroup.mul_right_cancel
0.000018    11535 mul_right_cancel
0.000018    11536 mul_left_injective
0.000018    11537 mul_left_inj
0.000018    11538 int.neg_succ_of_nat_eq
0.000018    11539 gpow_one
0.000018    11540 mul_inv_cancel_left
0.000019    11541 mul_inv_rev
0.000018    11542 inv_mul_cancel_right
0.000018    11543 gpow_add_one
0.000018    11544 gpow_sub_one
0.000017    11545 gpow_add
0.000018    11546 add_gsmul
0.000018    11547 tactic.abel.term_add_termg
0.000018    11548 zero_gsmul
0.000018    11549 tactic.abel.zero_termg
1.145980    11550 tactic.abel.term_add_constg
0.000076    11551 tactic.abel.const_add_termg
0.000025    11552 norm_num.add_neg_pos_pos
0.000019    11553 finset.sum_range_sub'
0.000024    11554 with_bot.bot_lt_coe
0.000016    11555 polynomial.coeff_eq_zero_of_nat_degree_lt
0.000015    11556 polynomial.coeff_nat_degree_succ_eq_zero
0.000016    11557 finset.nat.antidiagonal_zero
0.000015    11558 polynomial.mul_coeff_zero
0.000019    11559 polynomial.coeff_X_zero
0.000018    11560 polynomial.eval_mul_X_sub_C
0.000016    11561 polynomial.eval₂_one
0.000015    11562 polynomial.eval_one
0.000015    11563 polynomial.not_is_unit_X_sub_C
0.000017    11564 polynomial.C_inj
0.000016    11565 polynomial.dvd_iff_is_root
0.000017    11566 polynomial.prime_X_sub_C
0.000016    11567 roption.some
0.000015    11568 enat.has_coe
0.000015    11569 roption.cases_on
0.000017    11570 roption.no_confusion_type
0.000025    11571 roption.no_confusion
0.000017    11572 roption.mk.inj
0.000015    11573 roption.some_inj
0.000018    11574 enat.coe_inj
0.000017    11575 roption.ext'
0.000014    11576 enat.coe_get
0.000019    11577 roption.mem
0.000019    11578 roption.has_mem
0.000018    11579 enat.has_le
0.000018    11580 one_dvd
0.000018    11581 multiplicity.pow_dvd_of_le_multiplicity
0.000018    11582 enat.partial_order._proof_1
0.000018    11583 enat.partial_order._match_1
0.000018    11584 enat.partial_order._match_2
0.000018    11585 enat.partial_order._proof_2
0.000018    11586 enat.partial_order._proof_3
0.000018    11587 enat.partial_order._match_3
0.000018    11588 enat.partial_order._match_4
0.000018    11589 enat.partial_order._proof_4
0.000018    11590 enat.partial_order
0.000018    11591 roption.none
0.000018    11592 enat.has_top
0.000018    11593 roption.mem_some
0.000019    11594 roption.eq_some_iff
0.000017    11595 roption.some_get
0.000018    11596 roption.not_mem_none
0.000018    11597 roption.ext
0.000018    11598 roption.eq_none_iff
0.000018    11599 roption.eq_none_iff'
0.000019    11600 roption.induction_on
0.000017    11601 enat.cases_on
0.000018    11602 enat.has_zero
0.000018    11603 enat.has_bot
0.000019    11604 enat.semilattice_sup_bot._proof_1
0.000017    11605 enat.has_sup._proof_1
0.000018    11606 enat.has_sup._proof_2
0.000018    11607 enat.has_sup
0.000018    11608 enat.semilattice_sup_bot._proof_2
0.000018    11609 enat.semilattice_sup_bot._proof_3
0.000018    11610 enat.semilattice_sup_bot._match_1
0.000018    11611 enat.semilattice_sup_bot._match_2
0.000018    11612 enat.semilattice_sup_bot._proof_4
0.000018    11613 enat.semilattice_sup_bot
0.000016    11614 enat.order_top._proof_1
0.000014    11615 enat.order_top
0.000018    11616 enat.coe_le_coe
0.000018    11617 enat.linear_order._proof_1
0.000018    11618 enat.linear_order
0.000018    11619 multiplicity.pow_multiplicity_dvd
0.000017    11620 enat.le_def
0.000018    11621 enat.lt_def
0.000018    11622 enat.dom_coe
0.000018    11623 enat.get_coe'
0.000018    11624 enat.lt_coe_iff
0.000018    11625 pow_dvd_pow
0.000018    11626 multiplicity.is_greatest
0.000018    11627 enat.le_coe_iff
0.000018    11628 multiplicity.unique
0.000018    11629 multiplicity.unique'
0.000018    11630 multiplicity.eq_some_iff
0.000018    11631 enat.coe_lt_coe
0.000018    11632 multiplicity.is_greatest'
0.000018    11633 prime.div_or_div
0.000017    11634 pow_eq_zero
0.000018    11635 pow_ne_zero
0.000018    11636 prime.ne_zero
0.000018    11637 succ_dvd_or_succ_dvd_of_succ_sum_dvd_mul
0.000018    11638 multiplicity.mul'
0.000018    11639 polynomial.root_multiplicity_mul
0.000018    11640 roption.get_some
0.000018    11641 roption.get_eq_iff_eq_some
0.000018    11642 is_unit_iff_dvd_one
0.000017    11643 is_unit_iff_forall_dvd
0.000018    11644 units.coe_hom
0.000018    11645 units.coe_pow
0.000018    11646 is_unit.pow
0.000018    11647 multiplicity.not_unit_of_finite
0.000018    11648 multiplicity.ne_zero_of_finite
0.000018    11649 multiplicity.get_multiplicity_self
0.000018    11650 polynomial.root_multiplicity_X_sub_C_self
0.000018    11651 multiplicity.multiplicity_eq_zero_of_not_dvd
0.000018    11652 enat.coe_zero
0.000017    11653 polynomial.root_multiplicity_eq_zero
0.000018    11654 polynomial.root_X_sub_C
0.000018    11655 polynomial.root_multiplicity_X_sub_C
0.000018    11656 polynomial.exists_multiset_roots
0.000018    11657 polynomial.roots
0.000018    11658 polynomial.nth_roots
0.000018    11659 primitive_roots
0.000018    11660 field.to_integral_domain._proof_1
0.000018    11661 field.to_integral_domain
0.000018    11662 complex.has_add
0.000018    11663 complex.cases_on
0.000018    11664 complex.ext
0.000018    11665 complex.ext_iff
0.000018    11666 complex.add_re
0.000018    11667 tactic.ring.horner
0.000018    11668 tactic.ring.horner.equations._eqn_1
0.000018    11669 tactic.ring.horner_atom
0.000017    11670 tactic.ring.horner_add_const
0.000018    11671 complex.add_im
0.000018    11672 complex.comm_ring._proof_1
0.000018    11673 complex.has_zero
0.000018    11674 complex.zero_re
0.000018    11675 complex.zero_im
0.000017    11676 complex.comm_ring._proof_2
0.000018    11677 complex.comm_ring._proof_3
0.000018    11678 complex.comm_ring._proof_4
0.000018    11679 complex.comm_ring._proof_5
1.097759    11680 complex.has_neg
0.000080    11681 complex.has_sub
0.000025    11682 complex.comm_ring._proof_6
0.000015    11683 complex.neg_re
0.000015    11684 complex.neg_im
0.000015    11685 complex.comm_ring._proof_7
0.000015    11686 tactic.ring.const_add_horner
0.000015    11687 complex.comm_ring._proof_8
0.000015    11688 complex.has_mul
0.000015    11689 complex.mul_re
0.000018    11690 complex.mul_im
0.000019    11691 tactic.ring.unfold_sub
0.000018    11692 norm_num.subst_into_mul
0.000016    11693 tactic.ring.horner_mul_const
0.000015    11694 tactic.ring.horner_neg
0.000036    11695 tactic.ring.horner_const_mul
0.000020    11696 norm_num.mul_neg_pos
0.000016    11697 tactic.ring.horner_add_horner_eq
0.000015    11698 complex.comm_ring._proof_9
0.000018    11699 complex.one_re
0.000019    11700 complex.one_im
0.000018    11701 complex.comm_ring._proof_10
0.000016    11702 complex.comm_ring._proof_11
0.000015    11703 complex.comm_ring._proof_12
0.000015    11704 complex.comm_ring._proof_13
0.000017    11705 complex.comm_ring._proof_14
0.000016    11706 complex.comm_ring._proof_15
0.000017    11707 complex.comm_ring._proof_16
0.000019    11708 complex.comm_ring
0.000019    11709 complex.conj._proof_1
0.000018    11710 real.domain._proof_1
0.000018    11711 real.domain
0.000017    11712 complex.conj._proof_2
0.000019    11713 complex.conj._proof_3
0.000017    11714 complex.conj._proof_4
0.000019    11715 complex.conj
0.000015    11716 complex.norm_sq._proof_1
0.000015    11717 complex.norm_sq._proof_2
0.000018    11718 tactic.ring.horner_mul_horner
0.000018    11719 tactic.ring.horner_mul_horner_zero
0.000018    11720 tactic.ring.horner_horner
0.000018    11721 norm_num.add_neg_neg
0.000018    11722 tactic.ring.zero_horner
0.000018    11723 complex.norm_sq._proof_3
0.000018    11724 complex.norm_sq
0.000018    11725 complex.has_inv
0.000018    11726 complex.field._proof_1
0.000018    11727 complex.field._proof_2
0.000018    11728 complex.inv_def
0.000018    11729 complex.conj_re
0.000018    11730 complex.conj_im
0.000017    11731 complex.norm_sq.equations._eqn_1
0.000019    11732 monoid_with_zero_hom.coe_mk
0.000018    11733 complex.of_real_re
0.000018    11734 complex.of_real_im
0.000018    11735 complex.of_real_add
0.000018    11736 complex.of_real_mul
0.000018    11737 complex.mul_conj
0.000018    11738 abs_mul_abs_self
0.000018    11739 abs_mul_self
0.000018    11740 mul_self_nonneg
0.000018    11741 mul_self_eq_zero
0.000018    11742 mul_self_add_mul_self_eq_zero
0.000018    11743 eq_zero_of_mul_self_add_mul_self_eq_zero
0.000018    11744 complex.norm_sq_zero
0.000018    11745 complex.norm_sq_eq_zero
0.000018    11746 complex.of_real_one
0.000018    11747 complex.mul_inv_cancel
0.000018    11748 complex.of_real_zero
0.000018    11749 complex.inv_re
0.000018    11750 complex.norm_sq_of_real
0.000018    11751 inv_mul_mul_self
0.000018    11752 div_self_mul_self'
0.000018    11753 complex.inv_im
0.000018    11754 zero_div
0.000018    11755 complex.of_real_inv
0.000018    11756 complex.inv_zero
0.000018    11757 complex.field
0.000018    11758 nat.coprime.equations._eqn_1
0.000018    11759 nat.coprime.decidable._proof_1
0.000018    11760 nat.coprime.decidable
0.000017    11761 nat.totient
0.000018    11762 list.length_pmap
0.000018    11763 multiset.card_pmap
0.000018    11764 multiset.card_attach
0.000018    11765 finset.card_attach
0.000018    11766 finset.card.equations._eqn_1
0.000018    11767 list.length_map
0.000018    11768 multiset.card_map
0.000018    11769 finset.card_image_of_inj_on
0.000018    11770 finset.card_image_of_injective
0.000018    11771 finset.card_congr
0.000018    11772 primitive_roots.equations._eqn_1
0.000018    11773 multiset.mem_to_finset
0.000018    11774 polynomial.nth_roots.equations._eqn_1
0.000018    11775 polynomial.roots.equations._eqn_1
0.000018    11776 polynomial.count_roots
0.000017    11777 enat.has_one
0.000019    11778 enat.coe_lt_top
0.000017    11779 enat.pos_iff_one_le
0.000018    11780 multiplicity.dvd_of_multiplicity_pos
0.000018    11781 enat.has_add._proof_1
0.000018    11782 enat.has_add._proof_2
0.000018    11783 enat.has_add
0.000018    11784 enat.add_comm_monoid._proof_1
0.000018    11785 enat.add_comm_monoid._proof_2
0.000018    11786 enat.add_comm_monoid._proof_3
0.000018    11787 enat.add_comm_monoid._proof_4
0.000018    11788 enat.add_comm_monoid._proof_5
0.000018    11789 enat.add_comm_monoid._proof_6
0.000018    11790 enat.add_comm_monoid._proof_7
0.000018    11791 enat.add_comm_monoid._proof_8
0.000018    11792 enat.add_comm_monoid
0.000018    11793 enat.top_add
0.000018    11794 enat.ordered_add_comm_monoid._match_1
0.000018    11795 enat.ordered_add_comm_monoid._proof_1
0.000018    11796 enat.add_top
0.000018    11797 enat.coe_add
0.000018    11798 enat.ordered_add_comm_monoid._proof_2
0.000018    11799 enat.ordered_add_comm_monoid
0.000018    11800 enat.canonically_ordered_add_monoid._match_1
0.000018    11801 enat.canonically_ordered_add_monoid._proof_1
0.000018    11802 enat.canonically_ordered_add_monoid
0.000018    11803 multiplicity.dvd_iff_multiplicity_pos
0.000018    11804 polynomial.root_multiplicity_pos
0.000018    11805 polynomial.mem_roots
0.270873    11806 ring_hom.map_pow
0.000074    11807 is_semiring_hom
0.000024    11808 is_mul_hom
0.000015    11809 is_monoid_hom
0.000015    11810 is_monoid_hom.map_one
0.000015    11811 monoid_hom.of._proof_1
0.000016    11812 is_mul_hom.map_mul
0.000015    11813 is_monoid_hom.to_is_mul_hom
0.000015    11814 monoid_hom.of._proof_2
0.000014    11815 monoid_hom.of
0.000015    11816 is_semiring_hom.map_mul
0.000015    11817 is_semiring_hom.map_one
0.000017    11818 is_semiring_hom.is_monoid_hom
0.000019    11819 ring_hom.of._proof_1
0.000018    11820 ring_hom.of._proof_2
0.000016    11821 is_semiring_hom.map_add
0.000015    11822 is_semiring_hom.map_zero
0.000015    11823 is_semiring_hom.is_add_monoid_hom
0.000019    11824 ring_hom.of._proof_3
0.000017    11825 ring_hom.of._proof_4
0.000018    11826 ring_hom.of
0.000016    11827 polynomial.eval₂.is_semiring_hom
0.000015    11828 polynomial.eval₂_ring_hom
0.000015    11829 polynomial.eval₂_pow
0.000017    11830 polynomial.eval_pow
0.000016    11831 polynomial.mem_nth_roots
0.000015    11832 is_primitive_root.pow_eq_one
0.000017    11833 mem_primitive_roots
0.000019    11834 nat.coprime_zero_right
0.000018    11835 units.mk_of_mul_eq_one._proof_1
0.000018    11836 units.mk_of_mul_eq_one
0.000019    11837 is_unit_of_mul_eq_one
0.000017    11838 is_primitive_root.is_unit
0.000018    11839 comm_group
0.000018    11840 comm_group.mul
0.000018    11841 comm_group.mul_assoc
0.000018    11842 comm_group.one
0.000018    11843 comm_group.one_mul
0.000018    11844 comm_group.mul_one
0.000018    11845 comm_group.npow
0.000017    11846 comm_group.npow_zero'
0.000018    11847 comm_group.npow_succ'
0.000018    11848 comm_group.mul_comm
0.000018    11849 comm_group.to_comm_monoid
0.000018    11850 units.comm_group._proof_1
0.000018    11851 units.comm_group._proof_2
0.000023    11852 units.comm_group._proof_3
0.000026    11853 units.comm_group._proof_4
0.000019    11854 units.comm_group._proof_5
0.000018    11855 units.comm_group._proof_6
0.000018    11856 units.comm_group._proof_7
0.000018    11857 units.comm_group._proof_8
0.000018    11858 units.comm_group
0.000018    11859 is_primitive_root.dcases_on
0.000019    11860 is_primitive_root.iff_def
0.000017    11861 units.ext_iff
0.000018    11862 is_primitive_root.coe_units_iff
0.000018    11863 is_primitive_root.dvd_of_pow_eq_one
0.000019    11864 int.sizeof
0.000017    11865 int.has_sizeof_inst
0.000018    11866 xgcd_aux._main._pack._wf_rec_mk_dec_tactic._aux_1
0.000018    11867 nat.xgcd_aux._main._pack
0.000019    11868 nat.xgcd_aux._main
0.000017    11869 nat.xgcd_aux
0.000019    11870 nat.xgcd
0.000017    11871 nat.gcd_a
0.000019    11872 nat.gcd_b
0.000018    11873 _private.549113655.P._main
0.000018    11874 _private.549113655.P
0.000018    11875 nat.gcd_a.equations._eqn_1
0.000018    11876 nat.gcd_b.equations._eqn_1
0.000018    11877 nat.xgcd_val
0.000018    11878 nat.xgcd.equations._eqn_1
0.000018    11879 nat.xgcd_aux._main._pack.equations._eqn_1
0.000018    11880 nat.xgcd_aux._main.equations._eqn_1
0.000018    11881 nat.xgcd_aux.equations._eqn_1
0.000018    11882 nat.xgcd_zero_left
0.000018    11883 nat.xgcd_aux._main._pack.equations._eqn_2
0.000018    11884 nat.xgcd_aux._main.equations._eqn_2
0.000018    11885 nat.xgcd_aux.equations._eqn_2
0.000018    11886 nat.xgcd_aux_rec
0.000018    11887 nat.xgcd_aux_fst
0.000018    11888 nat.xgcd_aux_val
0.000018    11889 nat.xgcd_aux_P
0.000018    11890 _private.549113655.P._main.equations._eqn_1
0.000018    11891 _private.549113655.P.equations._eqn_1
0.000018    11892 nat.gcd_eq_gcd_ab
0.000018    11893 gpow_sub
0.000018    11894 gpow_mul
0.000017    11895 one_gpow
0.000019    11896 is_primitive_root.pow_of_coprime
0.000027    11897 nat.eq_zero_of_dvd_of_div_eq_zero
0.000020    11898 nat.mul_right_inj
0.000018    11899 nat.div_eq_zero_iff
0.000018    11900 nat.eq_zero_of_dvd_of_lt
0.000018    11901 units.mul_left_inj
0.000018    11902 is_unit.mul_left_inj
0.000018    11903 nat.sub_le_self
0.000018    11904 iff.to_eq
0.000018    11905 is_primitive_root.pow_inj
0.000018    11906 invertible
0.000018    11907 invertible.inv_of
0.000018    11908 invertible.mul_inv_of_self
0.000018    11909 mul_inv_of_self
0.000018    11910 unit_of_invertible._proof_1
0.000018    11911 invertible.inv_of_mul_self
0.000018    11912 inv_of_mul_self
0.000018    11913 unit_of_invertible._proof_2
0.000018    11914 unit_of_invertible
0.000016    11915 is_unit_of_invertible
0.000017    11916 invertible_of_pow_succ_eq_one._proof_1
0.000018    11917 invertible_of_pow_succ_eq_one._proof_2
0.000018    11918 invertible_of_pow_succ_eq_one
0.000018    11919 invertible_of_pow_eq_one._proof_1
0.000018    11920 invertible_of_pow_eq_one
0.000018    11921 is_unit_of_pow_eq_one
0.000018    11922 coe_pnat_nat
0.000018    11923 subgroup
0.000018    11924 subgroup.carrier
0.000018    11925 subgroup.cases_on
0.000017    11926 subgroup.set_like._proof_1
0.000019    11927 subgroup.set_like
0.000018    11928 roots_of_unity._proof_1
0.000018    11929 roots_of_unity._proof_2
0.000018    11930 inv_pow
0.000018    11931 roots_of_unity._proof_3
0.000018    11932 roots_of_unity
0.000018    11933 subgroup.one_mem'
0.000018    11934 subgroup.copy._proof_1
0.000017    11935 subgroup.mul_mem'
0.331420    11936 subgroup.copy._proof_2
0.000074    11937 subgroup.inv_mem'
0.000024    11938 subgroup.copy._proof_3
0.000016    11939 subgroup.copy
0.000015    11940 submonoid.map._proof_1
0.000015    11941 submonoid.map._proof_2
0.000015    11942 submonoid.map
0.000015    11943 subgroup.to_submonoid
0.000015    11944 subgroup.map._proof_1
0.000015    11945 subgroup.map._proof_2
0.000018    11946 subgroup.inv_mem
0.000018    11947 monoid_hom.map_mul_eq_one
0.000018    11948 monoid_hom.map_inv
0.000016    11949 subgroup.map._proof_3
0.000016    11950 subgroup.map
0.000027    11951 submonoid.has_top._proof_1
0.000019    11952 submonoid.has_top._proof_2
0.000015    11953 submonoid.has_top
0.000018    11954 subgroup.has_top._proof_1
0.000019    11955 subgroup.has_top._proof_2
0.000019    11956 subgroup.has_top._proof_3
0.000018    11957 subgroup.has_top
0.000019    11958 subgroup.coe_map
0.000018    11959 subgroup.coe_top
0.000018    11960 monoid_hom.range._proof_1
0.000018    11961 monoid_hom.range
0.000018    11962 gpowers_hom._proof_1
0.000019    11963 monoid_hom.map_gpow
0.000018    11964 of_add_gsmul
0.000018    11965 gsmul_eq_mul
0.000018    11966 int.cast_id
0.000018    11967 gsmul_int_int
0.000018    11968 gpowers_hom._proof_2
0.000018    11969 gpowers_hom
0.000018    11970 subgroup.gpowers._proof_1
0.000018    11971 subgroup.gpowers
0.000019    11972 fintype.card
0.000018    11973 set.has_ssubset
0.000018    11974 set.eq_or_ssubset_of_subset
0.000018    11975 finset.card_map
0.000018    11976 finset.val_lt_iff
0.000018    11977 finset.card_lt_card
0.000018    11978 finset.card_lt_univ_of_not_mem
0.000018    11979 finset.coe_map
0.000018    11980 finset.coe_univ
0.000018    11981 fintype.card_lt_of_injective_of_not_mem
0.000018    11982 fintype.card_lt_of_injective_not_surjective
0.000018    11983 set.inclusion._proof_1
0.000018    11984 set.inclusion
0.000018    11985 set.inclusion_injective
0.000018    11986 set.ssubset_iff_subset_ne
0.000019    11987 set.inclusion.equations._eqn_1
0.000018    11988 subtype.mk_eq_mk
0.000018    11989 set.range_inclusion
0.000018    11990 set.eq_of_inclusion_surjective
0.000018    11991 set.card_lt_card
0.000019    11992 set.eq_of_subset_of_card_le
0.000018    11993 fintype.of_bijective._proof_1
0.000018    11994 multiset.mem_map_of_injective
0.000018    11995 finset.mem_map'
0.000020    11996 finset.mem_map_of_mem
0.000027    11997 fintype.of_bijective._match_1
0.000021    11998 fintype.of_bijective._proof_2
0.000019    11999 fintype.of_bijective
0.000018    12000 equiv.bijective
0.000018    12001 fintype.of_equiv
0.000018    12002 set_like.has_coe_to_sort
0.000018    12003 zmod._main
0.000018    12004 zmod
0.000018    12005 fact
0.000019    12006 fact.out
0.000018    12007 fin.mk
0.000039    12008 list.fin_range._proof_1
0.000020    12009 list.fin_range
0.000015    12010 list.nodup_fin_range
0.000015    12011 finset.fin_range
0.000014    12012 fin.eta
0.000018    12013 list.mem_fin_range
0.000018    12014 finset.mem_fin_range
0.000019    12015 fin.fintype
0.000017    12016 zmod.fintype._main
0.000018    12017 zmod.fintype
0.000018    12018 pnat.pos
0.000018    12019 _private.4164854483.mlt
0.000017    12020 fin.add._main
0.000018    12021 fin.add
0.000016    12022 fin.has_add
0.000018    12023 fin.eq_iff_veq
0.000018    12024 fin.add._main._proof_1
0.000018    12025 fin.add._main.equations._eqn_1
0.000018    12026 fin.add.equations._eqn_1
0.000018    12027 fin.add_def
0.000018    12028 fin.val_eq_coe
0.000017    12029 nat.mod_add_mod
0.000018    12030 nat.add_mod_mod
0.000018    12031 fin.inhabited
0.000018    12032 fin.add_comm_monoid._proof_1
0.000018    12033 fin.val_zero'
0.000017    12034 fin.is_lt
0.000018    12035 fin.zero_add
0.000018    12036 fin.add_zero
0.000018    12037 fin.add_comm_monoid._proof_2
0.000018    12038 fin.add_comm_monoid._proof_3
0.000021    12039 fin.add_comm_monoid._proof_4
0.000027    12040 fin.add_comm_monoid
0.000019    12041 fin.add_comm_group._proof_1
0.000019    12042 fin.add_comm_group._proof_2
0.000018    12043 fin.add_comm_group._proof_3
0.000018    12044 fin.add_comm_group._proof_4
0.000018    12045 fin.add_comm_group._proof_5
0.000018    12046 int.nat_mod
0.000018    12047 int.nat_mod.equations._eqn_1
0.000019    12048 int.to_nat_of_nonneg
0.000018    12049 int.coe_nat_ne_zero_iff_pos
0.000018    12050 fin.has_neg._proof_1
0.000018    12051 fin.has_neg
0.000018    12052 fin.sub._main
0.000018    12053 fin.sub
0.000018    12054 int.coe_nat_mod
0.000018    12055 int.add_mul_mod_self_left
0.000019    12056 int.mod_add_mod
0.000027    12057 int.add_mod_eq_add_mod_right
0.000020    12058 int.mod_add_cancel_right
0.000018    12059 int.mod_add_cancel_left
0.000018    12060 int.add_mod_self
0.000018    12061 int.add_mod_self_left
0.000018    12062 int.mod_mod
0.000018    12063 fin.add_comm_group._match_2
0.000018    12064 fin.add_comm_group._match_3
0.000018    12065 fin.add_comm_group._proof_6
0.000018    12066 int.add_mod_mod
0.000018    12067 fin.add_comm_group._match_1
0.000018    12068 fin.add_comm_group._proof_7
0.000018    12069 fin.add_comm_group._proof_8
0.000017    12070 fin.add_comm_group
0.000018    12071 fin.comm_ring._proof_1
0.000018    12072 fin.comm_ring._proof_2
0.000018    12073 fin.comm_ring._proof_3
0.000018    12074 fin.comm_ring._proof_4
0.140050    12075 fin.comm_ring._proof_5
0.000074    12076 fin.comm_ring._proof_6
0.000024    12077 fin.comm_ring._proof_7
0.000015    12078 fin.comm_ring._proof_8
0.000015    12079 fin.mul._main
0.000015    12080 fin.mul
0.000019    12081 fin.has_mul
0.000024    12082 nat.modeq
0.000016    12083 nat.modeq.trans
0.000019    12084 nat.modeq.equations._eqn_1
0.000019    12085 int.mod_sub_cancel_right
0.000016    12086 int.mod_eq_mod_iff_mod_sub_eq_zero
0.000015    12087 int.dvd_of_mod_eq_zero
0.000015    12088 int.dvd_iff_mod_eq_zero
0.000017    12089 nat.modeq.modeq_iff_dvd
0.000016    12090 nat.modeq.modeq_of_dvd
0.000018    12091 nat.modeq.dvd_of_modeq
0.000016    12092 nat.modeq.modeq_of_dvd_of_modeq
0.000019    12093 nat.modeq.modeq_mul_left'
0.000019    12094 nat.modeq.modeq_mul_left
0.000018    12095 nat.modeq.modeq_mul_right
0.000018    12096 nat.modeq.modeq_mul
0.000016    12097 nat.mod_mod
0.000015    12098 nat.modeq.refl
0.000015    12099 fin.comm_semigroup._match_1
0.000017    12100 fin.comm_semigroup._match_2
0.000016    12101 fin.comm_semigroup._match_3
0.000018    12102 fin.comm_semigroup._proof_1
0.000019    12103 fin.comm_semigroup._match_4
0.000018    12104 fin.comm_semigroup._match_5
0.000018    12105 fin.comm_semigroup._proof_2
0.000018    12106 fin.comm_semigroup
0.000018    12107 fin.comm_ring._proof_9
0.000018    12108 fin.of_nat._proof_1
0.000018    12109 fin.of_nat
0.000019    12110 fin.has_one
0.000018    12111 fin.eq_zero
0.000018    12112 fin.unique
0.000018    12113 fin.mul._main._proof_1
0.000018    12114 fin.mul._main.equations._eqn_1
0.000018    12115 fin.mul.equations._eqn_1
0.000018    12116 fin.mul_def
0.000018    12117 fin.val_one
0.000019    12118 fin.one_mul
0.000017    12119 fin.mul_one
0.000019    12120 fin.comm_ring._proof_10
0.000018    12121 fin.comm_ring._proof_11
0.000018    12122 dvd_add
0.000018    12123 nat.modeq.modeq_add
0.000018    12124 _private.1897013675.left_distrib_aux
0.000018    12125 fin.comm_ring._proof_12
0.000016    12126 fin.comm_ring._proof_13
0.000015    12127 fin.comm_ring
0.000017    12128 zmod.comm_ring._main
0.000018    12129 zmod.comm_ring
0.000019    12130 submonoid.has_mul._proof_1
0.000018    12131 submonoid.has_mul
0.000018    12132 subgroup.has_mul
0.000018    12133 add_equiv.of_bijective._proof_1
0.000018    12134 add_equiv.of_bijective._proof_2
0.000018    12135 add_equiv.of_bijective
0.000018    12136 function.injective.group._proof_1
0.000018    12137 function.injective.group._proof_2
0.000019    12138 function.injective.group._proof_3
0.000018    12139 function.injective.group._proof_4
0.000018    12140 function.injective.group._proof_5
0.000018    12141 function.injective.group._proof_6
0.000018    12142 function.injective.group._proof_7
0.000018    12143 function.injective.group
0.000018    12144 submonoid.has_one
0.000018    12145 subgroup.has_one
0.000018    12146 subgroup.has_inv._proof_1
0.000018    12147 subgroup.has_inv
0.000018    12148 subgroup.div_mem
0.000019    12149 subgroup.has_div._proof_1
0.000018    12150 subgroup.has_div
0.000018    12151 subgroup.to_group._proof_1
0.000018    12152 subgroup.to_group._proof_2
0.000018    12153 subgroup.to_group._proof_3
0.000018    12154 subgroup.to_group._proof_4
0.000018    12155 subgroup.to_group._proof_5
0.000018    12156 subgroup.to_group
0.000018    12157 additive.sub_neg_monoid._proof_1
0.000018    12158 additive.sub_neg_monoid._proof_2
0.000019    12159 additive.sub_neg_monoid._proof_3
0.000017    12160 additive.sub_neg_monoid._proof_4
0.000019    12161 additive.sub_neg_monoid._proof_5
0.000017    12162 additive.has_neg
0.000019    12163 additive.has_sub
0.000018    12164 additive.sub_neg_monoid
0.000018    12165 additive.add_group._proof_1
0.000018    12166 additive.add_group._proof_2
0.000018    12167 additive.add_group._proof_3
0.000029    12168 additive.add_group._proof_4
0.000019    12169 additive.add_group._proof_5
0.000018    12170 additive.add_group._proof_6
0.000018    12171 additive.add_group
0.000018    12172 add_subgroup.has_bot._proof_1
0.000018    12173 add_subgroup.has_bot._proof_2
0.000018    12174 add_submonoid.mem_carrier
0.000018    12175 neg_eq_zero
0.000018    12176 add_subgroup.has_bot._proof_3
0.000018    12177 add_subgroup.has_bot
0.000019    12178 add_monoid_hom.ker
0.000018    12179 add_monoid_hom.lift_of_right_inverse_aux._proof_1
0.000018    12180 add_neg_eq_zero
0.000018    12181 add_monoid_hom.mem_ker
0.000018    12182 add_monoid_hom.lift_of_right_inverse_aux._proof_2
0.000018    12183 add_monoid_hom.lift_of_right_inverse_aux
0.000018    12184 add_monoid_hom.lift_of_right_inverse._proof_1
0.000018    12185 add_monoid_hom.lift_of_right_inverse._proof_2
0.000018    12186 add_monoid_hom.comp_apply
0.000018    12187 add_monoid_hom.lift_of_right_inverse_aux_comp_apply
0.000018    12188 add_monoid_hom.lift_of_right_inverse._proof_3
0.000018    12189 add_monoid_hom.lift_of_right_inverse_aux.equations._eqn_1
0.000018    12190 add_monoid_hom.lift_of_right_inverse._proof_4
0.000018    12191 add_monoid_hom.lift_of_right_inverse
0.000018    12192 zmod.val._main
0.000016    12193 zmod.val
0.000019    12194 zmod.cast._main
0.000016    12195 zmod.cast
1.194929    12196 zmod.has_coe_t
0.000075    12197 int.nat_cast_eq_coe_nat
0.000024    12198 fin.ext
0.000016    12199 fin.val_add
0.000015    12200 fin.of_nat.equations._eqn_1
0.000015    12201 nat.add_mod
0.000015    12202 fin.of_nat_eq_coe
0.000014    12203 fin.coe_val_of_lt
0.000015    12204 fin.coe_val_eq_self
0.000015    12205 fin.coe_coe_eq_self
0.000018    12206 zmod.int_cast_zmod_cast
0.000018    12207 zmod.int_cast_right_inverse
0.000016    12208 is_primitive_root.zmod_equiv_gpowers._proof_1
0.000015    12209 is_primitive_root.zmod_equiv_gpowers._proof_2
0.000018    12210 is_primitive_root.zmod_equiv_gpowers._proof_3
0.000016    12211 char_p
0.000018    12212 dvd_neg
0.000017    12213 nat.can_lift._proof_1
0.000016    12214 nat.can_lift
0.000015    12215 char_p.cast_eq_zero_iff
0.000015    12216 char_p.int_cast_eq_zero_iff
0.000018    12217 zmod.val_nat_cast
0.000016    12218 zmod.val_zero
0.000015    12219 nat.dvd_of_mod_eq_zero
0.000014    12220 nat.dvd_iff_mod_eq_zero
0.000018    12221 zmod.char_p
0.000016    12222 is_primitive_root.zmod_equiv_gpowers._proof_4
0.000015    12223 add_monoid_hom.injective_iff
0.000014    12224 comm_group.inv
0.000018    12225 comm_group.div
0.000015    12226 comm_group.div_eq_mul_inv
0.000018    12227 comm_group.mul_left_inv
0.000018    12228 comm_group.to_group
0.000016    12229 is_primitive_root.pow_eq_one_iff_dvd
0.000015    12230 inv_involutive
0.000015    12231 inv_injective
0.000017    12232 inv_inj
0.000015    12233 is_primitive_root.gpow_eq_one_iff_dvd
0.000018    12234 has_coe_t_aux
0.000017    12235 has_coe_t_aux.coe
0.000019    12236 coe_fn_trans
0.000017    12237 coe_base_aux
0.000019    12238 add_monoid_hom.lift_of_right_inverse_comp_apply
0.000017    12239 is_primitive_root.zmod_equiv_gpowers._proof_5
0.000019    12240 is_primitive_root.zmod_equiv_gpowers
0.000018    12241 fintype.of_multiset._proof_1
0.000018    12242 fintype.of_multiset
0.000018    12243 multiset.subtype.fintype
0.000018    12244 mem_roots_of_unity
0.000018    12245 mem_roots_of_unity_iff_mem_nth_roots
0.000018    12246 roots_of_unity_equiv_nth_roots._proof_1
0.000018    12247 subtype.val_injective
0.000018    12248 subtype.linear_order
0.000018    12249 pnat.linear_order
0.000018    12250 pnat.has_one
0.000018    12251 pnat.one_le
0.000018    12252 roots_of_unity_equiv_nth_roots._proof_2
0.000018    12253 roots_of_unity_equiv_nth_roots._proof_3
0.000019    12254 units.coe_mk
0.000017    12255 roots_of_unity_equiv_nth_roots._proof_4
0.000019    12256 roots_of_unity_equiv_nth_roots._proof_5
0.000017    12257 roots_of_unity_equiv_nth_roots._proof_6
0.000019    12258 roots_of_unity_equiv_nth_roots
0.000017    12259 roots_of_unity.fintype
0.000019    12260 submonoid.to_monoid._proof_1
0.000018    12261 submonoid.to_monoid._proof_2
0.000018    12262 submonoid.to_monoid._proof_3
0.000018    12263 submonoid.to_monoid
0.000018    12264 submonoid.to_mul_one_class._proof_1
0.000018    12265 submonoid.to_mul_one_class._proof_2
0.000018    12266 submonoid.to_mul_one_class._proof_3
0.000018    12267 submonoid.to_mul_one_class
0.000019    12268 submonoid.subtype._proof_1
0.000018    12269 submonoid.subtype._proof_2
0.000018    12270 submonoid.subtype
0.000018    12271 submonoid.coe_pow
0.000018    12272 submonoid.pow_mem
0.000018    12273 subgroup.pow_mem
0.000018    12274 subgroup.gpow_mem
0.000018    12275 subgroup.gpowers_subset
0.000018    12276 fintype.of_equiv_card
0.000018    12277 fintype.subsingleton._match_1
0.000018    12278 fintype.subsingleton._match_2
0.000018    12279 fintype.subsingleton
0.000018    12280 fintype.card_congr
0.000018    12281 multiset.card_le_of_le
0.000018    12282 list.erase_dup_sublist
0.000018    12283 multiset.erase_dup_le
0.000018    12284 multiset.empty_eq_zero
0.000031    12285 multiset.card_zero
0.000017    12286 polynomial.card_roots
0.000015    12287 is_ring_hom
0.000018    12288 is_ring_hom.map_add
0.000018    12289 is_ring_hom.map_zero
0.000018    12290 is_ring_hom.map_neg
0.000018    12291 is_ring_hom.map_sub
0.000018    12292 is_ring_hom.of_semiring
0.000018    12293 ring_hom.is_semiring_hom
0.000018    12294 ring_hom.is_ring_hom
0.000018    12295 polynomial.card_nth_roots
0.000018    12296 card_roots_of_unity
0.000018    12297 list.fin_range.equations._eqn_1
0.000018    12298 list.length_range
0.000018    12299 list.length_fin_range
0.000018    12300 fintype.card_fin
0.000018    12301 zmod.card
0.000018    12302 is_primitive_root.gpowers_eq
0.000016    12303 is_primitive_root.gpow_eq_one
0.000018    12304 is_primitive_root.eq_pow_of_mem_roots_of_unity
0.000018    12305 is_primitive_root.eq_pow_of_pow_eq_one
0.000018    12306 nat.mul_left_inj
0.000018    12307 is_primitive_root.pow_iff_coprime
0.000018    12308 is_primitive_root.is_primitive_root_iff
0.000018    12309 is_primitive_root.card_primitive_roots
0.000018    12310 rel_iso
0.000018    12311 order_iso
0.000018    12312 equiv.to_embedding
0.000018    12313 rel_iso.to_equiv
0.000028    12314 rel_iso.map_rel_iff'
0.000022    12315 rel_iso.to_rel_embedding
0.000018    12316 rel_iso.rel_embedding.has_coe
0.000018    12317 rel_iso.has_coe_to_fun
0.000019    12318 rel_iso.map_rel_iff
0.373684    12319 rel_iso.symm._proof_1
0.000075    12320 rel_iso.symm
0.000025    12321 order_iso.symm
0.000015    12322 rel_iso.trans._proof_1
0.000015    12323 rel_iso.trans
0.000015    12324 order_iso.trans
0.000015    12325 strict_mono.order_iso._proof_1
0.000015    12326 strict_mono.order_iso
0.000015    12327 order_iso.set_congr._proof_1
0.000015    12328 order_iso.set_congr
0.000020    12329 order_iso.set.univ._proof_1
0.000018    12330 order_iso.set.univ
0.000016    12331 strict_mono.order_iso_of_surjective
0.000015    12332 mul_self_lt_mul_self
0.000017    12333 nnreal.sqrt._proof_1
0.000019    12334 filter.at_bot
0.000015    12335 is_preconnected
0.000018    12336 preconnected_space
0.000015    12337 set.subset_compl_iff_disjoint
0.000015    12338 is_preconnected_closed_iff
0.000015    12339 preconnected_space.is_preconnected_univ
0.000018    12340 intermediate_value_univ₂
0.000015    12341 intermediate_value_univ
0.000018    12342 mem_range_of_exists_le_of_exists_ge
0.000018    12343 set.restrict
0.000015    12344 subtype.preconnected_space
0.000015    12345 map_nhds_induced_eq
0.000015    12346 inducing.map_nhds_eq
0.000017    12347 embedding.map_nhds_eq
0.000015    12348 embedding_subtype_coe
0.000015    12349 nhds_within_eq_map_subtype_coe
0.000018    12350 set.restrict.equations._eqn_1
0.000018    12351 tendsto_nhds_within_iff_subtype
0.000018    12352 continuous_within_at_iff_continuous_at_restrict
0.000018    12353 continuous_on_iff_continuous_restrict
0.000018    12354 is_preconnected.intermediate_value₂
0.000017    12355 continuous_on_const
0.000018    12356 is_preconnected.intermediate_value
0.000018    12357 continuous_on_id
0.000022    12358 is_preconnected.Icc_subset
0.000026    12359 is_preconnected_of_forall_pair
0.000019    12360 set.interval
0.000018    12361 set.interval.equations._eqn_1
0.000018    12362 set.interval_of_le
0.000018    12363 set.interval_of_ge
0.000018    12364 set.ord_connected.interval_subset
0.000018    12365 set.mem_Icc
0.000018    12366 set.left_mem_interval
0.000018    12367 set.interval_swap
0.000018    12368 set.right_mem_interval
0.000017    12369 set.Icc_subset_Icc
0.000018    12370 set.right_mem_Icc
0.000018    12371 set.left_mem_Icc
0.000018    12372 is_lub.mem_of_is_closed
0.000017    12373 is_lub_cSup
0.000018    12374 is_closed.cSup_mem
0.000018    12375 is_closed.mem_of_ge_of_forall_exists_gt
0.000018    12376 set.Icc_subset_Icc_right
0.000017    12377 is_closed_ge'
0.000018    12378 is_closed_Ici
0.000018    12379 is_closed_le'
0.000018    12380 is_closed_Iic
0.000018    12381 is_closed_Icc
0.000017    12382 set.Ico_subset_Ico_right
0.000019    12383 is_closed.Icc_subset_of_forall_exists_gt
0.000017    12384 set.Ioi_subset_Ici_self
0.000018    12385 sup_sdiff_left
0.000018    12386 sup_sdiff_self_right
0.000018    12387 sup_sdiff_self_left
0.000018    12388 inf_sdiff_self_left
0.000018    12389 sup_le_sup_right
0.000018    12390 sdiff_le_iff
0.000018    12391 set.diff_subset_iff
0.000018    12392 set.union_eq_self_of_subset_left
0.000018    12393 diff_subset_closure_iff
0.000018    12394 set.mem_diff
0.000018    12395 set.Ici_diff_left
0.000018    12396 inf_sdiff_left
0.000018    12397 sup_inf_inf_sdiff
0.000018    12398 inf_sdiff_sup_left
0.000017    12399 inf_sdiff_sup_right
0.000018    12400 sdiff_sdiff_right
0.000018    12401 sdiff_sdiff_right_self
0.000018    12402 sdiff_sdiff_eq_self
0.000018    12403 set.diff_diff_cancel_left
0.000018    12404 set.Ici_diff_Ioi_same
0.000018    12405 is_glb.frequently_mem
0.000017    12406 is_glb.frequently_nhds_mem
0.000018    12407 is_glb.mem_closure
0.000018    12408 is_lub_Iio
0.000018    12409 and.symm
0.000018    12410 order_dual.densely_ordered
0.000018    12411 is_glb_Ioi
0.000069    12412 closure_Ioi'
0.000022    12413 nhds_within_Ioi_ne_bot'
0.000019    12414 nhds_within_Ioi_self_ne_bot'
0.000018    12415 is_closed.Icc_subset_of_forall_mem_nhds_within
0.000016    12416 imp_eq_of_eq_true_left
0.000015    12417 set.union_is_comm
0.000017    12418 is_preconnected_Icc
0.000019    12419 is_preconnected_interval
0.000017    12420 is_preconnected_iff_ord_connected
0.000018    12421 set.ord_connected.is_preconnected
0.000018    12422 set.ord_connected_univ
0.000018    12423 ordered_connected_space
0.000018    12424 filter.eventually.exists
0.000018    12425 order_dual.nonempty
0.000018    12426 filter.at_bot_ne_bot
0.000018    12427 has_Sup_to_nonempty
0.000018    12428 filter.mem_at_bot
0.000018    12429 filter.eventually_le_at_bot
0.000018    12430 continuous.surjective
0.000019    12431 filter.tendsto_at_top
0.000017    12432 filter.monotone_mem_sets
0.000018    12433 filter.tendsto_at_top_mono'
0.000018    12434 filter.tendsto.at_top_mul_at_top
0.000018    12435 filter.tendsto_mul_self_at_top
0.000018    12436 filter.order_bot.at_bot_eq
0.000018    12437 filter.eventually_pure
0.000018    12438 nnreal.sqrt._proof_2
0.000018    12439 nnreal.sqrt
0.000018    12440 real.sqrt
0.000018    12441 complex.abs
0.000018    12442 nnreal.coe_nonneg
0.000018    12443 real.sqrt_nonneg
0.000018    12444 complex.abs_nonneg
0.000018    12445 real.sqrt.equations._eqn_1
0.000018    12446 nnreal.sqrt_eq_iff_sqr_eq
0.000018    12447 nnreal.sqrt_eq_zero
0.000018    12448 nnreal.sqrt_zero
3.582421    12449 real.sqrt_zero
0.000080    12450 order_iso.le_iff_le
0.000024    12451 real.sqrt_le
0.000016    12452 real.sqrt_inj
0.000015    12453 real.sqrt_eq_zero
0.000014    12454 complex.norm_sq_nonneg
0.000015    12455 complex.abs_eq_zero
0.000015    12456 mul_self_le_mul_self
0.000015    12457 nonneg_le_nonneg_of_squares_le
0.000014    12458 mul_self_le_mul_self_iff
0.000018    12459 order_iso.symm_apply_apply
0.000018    12460 nnreal.mul_sqrt_self
0.000018    12461 real.mul_self_sqrt
0.000016    12462 complex.mul_self_abs
0.000015    12463 add_mul_self_eq
0.000014    12464 tactic.ring.horner_add_horner_gt
0.000017    12465 complex.norm_sq_add
0.000016    12466 real.semigroup
0.000019    12467 complex.abs.equations._eqn_1
0.000018    12468 complex.norm_sq_mul
0.000016    12469 linear_ordered_comm_group_with_zero
0.000014    12470 linear_ordered_comm_group_with_zero.le
0.000015    12471 linear_ordered_comm_group_with_zero.lt
0.000016    12472 linear_ordered_comm_group_with_zero.le_refl
0.000017    12473 linear_ordered_comm_group_with_zero.le_trans
0.000016    12474 linear_ordered_comm_group_with_zero.lt_iff_le_not_le
0.000027    12475 linear_ordered_comm_group_with_zero.le_antisymm
0.000018    12476 linear_ordered_comm_group_with_zero.le_total
0.000020    12477 linear_ordered_comm_group_with_zero.decidable_le
0.000016    12478 linear_ordered_comm_group_with_zero.decidable_eq
0.000017    12479 linear_ordered_comm_group_with_zero.decidable_lt
0.000018    12480 linear_ordered_comm_group_with_zero.mul
0.000018    12481 linear_ordered_comm_group_with_zero.mul_assoc
0.000018    12482 linear_ordered_comm_group_with_zero.one
0.000019    12483 linear_ordered_comm_group_with_zero.one_mul
0.000018    12484 linear_ordered_comm_group_with_zero.mul_one
0.000018    12485 linear_ordered_comm_group_with_zero.npow
0.000018    12486 linear_ordered_comm_group_with_zero.npow_zero'
0.000018    12487 linear_ordered_comm_group_with_zero.npow_succ'
0.000018    12488 linear_ordered_comm_group_with_zero.mul_comm
0.000018    12489 linear_ordered_comm_group_with_zero.mul_le_mul_left
0.000018    12490 linear_ordered_comm_group_with_zero.lt_of_mul_lt_mul_left
0.000018    12491 linear_ordered_comm_group_with_zero.zero
0.000018    12492 linear_ordered_comm_group_with_zero.zero_mul
0.000018    12493 linear_ordered_comm_group_with_zero.mul_zero
0.000018    12494 linear_ordered_comm_group_with_zero.zero_le_one
0.000018    12495 linear_ordered_comm_group_with_zero.to_linear_ordered_comm_monoid_with_zero
0.000018    12496 canonically_linear_ordered_add_monoid.to_canonically_ordered_add_monoid
0.000051    12497 nnreal.linear_ordered_comm_group_with_zero._proof_1
0.000021    12498 linear_ordered_comm_monoid_with_zero.lt_of_mul_lt_mul_left._default
0.000016    12499 nnreal.linear_ordered_comm_group_with_zero._proof_2
0.000015    12500 nnreal.linear_ordered_comm_group_with_zero._proof_3
0.000017    12501 nnreal.linear_ordered_comm_group_with_zero
0.000018    12502 linear_ordered_comm_monoid.le_total
0.000019    12503 linear_ordered_comm_monoid.decidable_le
0.000018    12504 linear_ordered_comm_monoid.decidable_eq
0.000018    12505 linear_ordered_comm_monoid.decidable_lt
0.000018    12506 linear_ordered_comm_monoid.to_linear_order
0.000018    12507 linear_ordered_comm_monoid_with_zero.zero_le_one
0.000018    12508 zero_le_one'
0.000018    12509 zero_le'
0.000018    12510 le_zero_iff
0.000018    12511 nnreal.of_real_eq_zero
0.000018    12512 nnreal.of_real_mul
0.000018    12513 mul_mul_mul_comm
0.000018    12514 nnreal.sqrt_mul
0.000018    12515 real.sqrt_mul
0.000018    12516 complex.abs_mul
0.000018    12517 complex.norm_sq_conj
0.000018    12518 complex.abs_conj
0.000018    12519 complex.re_sq_le_norm_sq
0.000018    12520 complex.abs_re_le_abs
0.000018    12521 complex.re_le_abs
0.000018    12522 complex.abs_add
0.000018    12523 complex.abs.is_absolute_value
0.000018    12524 complex.sub_re
0.000018    12525 complex.is_cau_seq_re
0.000017    12526 complex.cau_seq_re
0.000018    12527 complex.sub_im
0.000018    12528 complex.im_sq_le_norm_sq
0.000018    12529 complex.abs_im_le_abs
0.000018    12530 complex.is_cau_seq_im
0.000018    12531 complex.cau_seq_im
0.000018    12532 complex.lim_aux
0.000018    12533 complex.I
0.000018    12534 complex.I_re
0.000017    12535 complex.I_im
0.000018    12536 complex.re_add_im
0.000018    12537 real.sqrt_mul_self
0.000018    12538 real.sqrt_mul_self_eq_abs
0.000018    12539 complex.abs_of_real
0.000018    12540 complex.norm_sq_I
0.000018    12541 nnreal.of_real_one
0.000018    12542 nnreal.sqrt_one
0.000018    12543 real.sqrt_one
0.000018    12544 complex.abs_I
0.000018    12545 complex.abs_le_abs_re_add_abs_im
0.000018    12546 complex.equiv_lim_aux
0.000018    12547 complex.abs.cau_seq.is_complete._proof_1
0.000018    12548 complex.abs.cau_seq.is_complete
0.000018    12549 nat.factorial._main
0.000018    12550 nat.factorial
0.000018    12551 is_cau_series_of_abv_le_cau
0.000018    12552 is_cau_series_of_abv_cau
5.865152    12553 monoid_with_zero_hom.to_monoid_hom
0.000077    12554 is_absolute_value.abv_pow
0.000024    12555 local_ring
0.000016    12556 local_ring.to_nontrivial
0.000015    12557 units.is_unit
0.000015    12558 is_unit.mk0
0.000014    12559 field.local_ring
0.000015    12560 neg_div
0.000015    12561 neg_div_neg_eq
0.000014    12562 lt_neg
0.000018    12563 nat.pred_lt
0.000019    12564 sub_nonpos
0.000016    12565 forall_ge_le_of_forall_le_succ
0.000015    12566 sub_add
0.000015    12567 is_cau_of_decreasing_bounded
0.000015    12568 is_cau_of_mono_bounded
0.000018    12569 norm_num.nonneg_pos
0.000019    12570 one_div_nonneg
0.000018    12571 div_le_div_of_le
0.000015    12572 add_neg_le_iff_le_add'
0.000015    12573 sub_le_self_iff
0.000014    12574 sub_le_self
0.000018    12575 sub_le_sub_left
0.000015    12576 is_cau_geo_series
0.000018    12577 is_cau_geo_series_const
0.000018    12578 series_ratio_test
0.000016    12579 complex.abs_abs
0.000014    12580 nat.factorial_succ
0.000015    12581 div_mul_div
0.000017    12582 div_div_eq_div_mul
0.000015    12583 mul_div_right_comm
0.000018    12584 complex.abs_div
0.000018    12585 complex.of_real
0.000018    12586 complex.of_real_nat_cast
0.000018    12587 complex.abs_of_nonneg
0.000018    12588 complex.abs_cast_nat
0.000018    12589 div_le_div_of_le_left
0.000018    12590 complex.is_cau_abs_exp
0.000018    12591 complex.is_cau_exp
0.000018    12592 complex.exp'
0.000018    12593 complex.exp
0.000018    12594 complex.cos
0.000018    12595 real.cos
0.000018    12596 intermediate_value_Icc'
0.000022    12597 bit0_le_bit0
0.000026    12598 norm_num.lt_one_bit0
0.000019    12599 norm_num.le_one_bit0
0.000018    12600 nondiscrete_normed_field
0.000018    12601 normed_space
0.000018    12602 nondiscrete_normed_field.to_normed_field
0.000016    12603 continuous_linear_map
0.000015    12604 normed_space.to_semimodule
0.000017    12605 asymptotics.is_o
0.000018    12606 continuous_linear_map.to_linear_map
0.000018    12607 continuous_linear_map.linear_map.has_coe
0.000018    12608 continuous_linear_map.to_fun
0.000018    12609 has_fderiv_at_filter
0.000018    12610 has_fderiv_at
0.000018    12611 differentiable_at
0.000018    12612 differentiable
0.000018    12613 has_vadd
0.000018    12614 has_vadd.vadd
0.000018    12615 add_action
0.000018    12616 has_vsub
0.000018    12617 add_action.to_has_vadd
0.000017    12618 has_vsub.vsub
0.000019    12619 add_torsor
0.000017    12620 add_torsor.nonempty
0.000018    12621 add_monoid.to_add_action._proof_1
0.000018    12622 add_monoid.to_add_action._proof_2
0.000018    12623 add_monoid.to_add_action
0.000018    12624 add_group_is_add_torsor._proof_1
0.000018    12625 add_group_is_add_torsor
0.000018    12626 asymptotics.is_o.equations._eqn_1
0.000018    12627 asymptotics.is_O_with_congr
0.000018    12628 asymptotics.is_O_with.congr'
0.000018    12629 asymptotics.is_O_with.congr
0.000018    12630 asymptotics.is_O_with.congr_const
0.000018    12631 asymptotics.is_O_with.trans
0.000018    12632 asymptotics.is_o.trans_is_O_with
0.000018    12633 asymptotics.is_O_with_iff
0.000018    12634 asymptotics.is_O_with.of_bound
0.000018    12635 asymptotics.is_O_with.bound
0.000018    12636 asymptotics.is_O_with.weaken
0.000018    12637 asymptotics.is_O_with.exists_pos
0.000018    12638 asymptotics.is_O_iff_is_O_with
0.000018    12639 asymptotics.is_O.is_O_with
0.000018    12640 asymptotics.is_O.exists_pos
0.000018    12641 asymptotics.is_o.trans_is_O
0.000017    12642 normed_ring.to_normed_group._proof_1
0.000018    12643 normed_ring.to_normed_group._proof_2
0.000018    12644 normed_ring.to_normed_group._proof_3
0.000019    12645 normed_ring.to_normed_group._proof_4
0.000017    12646 normed_ring.to_normed_group._proof_5
0.000018    12647 normed_ring.to_normed_group._proof_6
0.000018    12648 normed_ring.to_normed_group._proof_7
0.000018    12649 normed_ring.to_normed_group._proof_8
0.000018    12650 normed_ring.to_normed_group
0.000018    12651 asymptotics.is_O_with.is_O
0.000018    12652 norm_one_class
0.000018    12653 norm_one_class.norm_one
0.000027    12654 metric_space.eq_of_dist_eq_zero
0.000016    12655 eq_of_dist_eq_zero
0.000017    12656 dist_eq_zero
0.000019    12657 norm_eq_zero
0.000019    12658 normed_field.to_norm_one_class
0.000018    12659 asymptotics.is_O_with_const_const
0.000018    12660 asymptotics.is_O_with_const_one
0.000018    12661 asymptotics.is_O_const_one
0.000019    12662 asymptotics.is_O_const_const
0.000018    12663 asymptotics.is_o_const_iff_is_o_one
0.000018    12664 metric.closed_ball
0.000018    12665 metric.mk_uniformity_basis_le
0.000018    12666 metric.uniformity_basis_dist_le
0.000018    12667 metric.nhds_basis_closed_ball
0.000018    12668 metric.mem_closed_ball
0.000018    12669 asymptotics.is_o_const_iff
0.000018    12670 asymptotics.is_o_one_iff
0.000018    12671 asymptotics.is_O_with.trans_is_o
0.000018    12672 asymptotics.is_O.trans_is_o
0.000018    12673 asymptotics.is_O.trans_tendsto
0.000018    12674 asymptotics.is_O_congr
0.000018    12675 asymptotics.is_O.congr'
0.000018    12676 asymptotics.is_O.congr
0.000018    12677 asymptotics.is_O.congr_left
0.000018    12678 asymptotics.is_O_with.add
0.000018    12679 asymptotics.is_O.add
2.515162    12680 norm_neg
0.000076    12681 asymptotics.is_O_with_neg_left
0.000025    12682 asymptotics.is_O_neg_left
0.000015    12683 asymptotics.is_O.neg_left
0.000015    12684 asymptotics.is_O.sub
0.000015    12685 asymptotics.is_O.congr_of_sub
0.000015    12686 asymptotics.is_o_iff
0.000015    12687 asymptotics.is_o.def'
0.000014    12688 asymptotics.is_o.is_O_with
0.000015    12689 asymptotics.is_o.is_O
0.000019    12690 semi_normed_space
0.000018    12691 semi_normed_space.to_semimodule
0.000016    12692 asymptotics.is_O_with.comp_tendsto
0.000015    12693 asymptotics.is_O.comp_tendsto
0.000018    12694 asymptotics.is_O_with_of_le'
0.000016    12695 asymptotics.is_O_of_le'
0.000015    12696 metric.tendsto_nhds_nhds
0.000014    12697 normed_group.tendsto_nhds_nhds
0.000018    12698 nondiscrete_normed_field.non_trivial
0.000261    12699 normed_field.exists_one_lt_norm
0.000018    12700 sub_pos_of_lt
0.000015    12701 le_of_forall_pos_le_add
0.000015    12702 norm_image_of_norm_zero
0.000015    12703 fpow._main
0.000015    12704 fpow
0.000014    12705 int.has_pow
0.000019    12706 pow_unbounded_of_one_lt
0.000018    12707 int.of_nat_nonneg
0.000016    12708 fpow_neg_succ_of_nat
0.000015    12709 inv_le_one
0.000018    12710 one_le_pow_of_one_le
0.000016    12711 fpow_le_of_le
0.000017    12712 int.lt_succ
0.000018    12713 fpow_neg
0.000016    12714 le_inv
0.000015    12715 inv_lt
0.000015    12716 exists_int_pow_near
0.000017    12717 ne.le_iff_lt
0.000015    12718 dist_le_zero
0.000018    12719 dist_pos
0.000017    12720 norm_pos_iff
0.000018    12721 monoid_with_zero_hom.map_fpow
0.000018    12722 normed_field.norm_hom._proof_1
0.000019    12723 normed_field.norm_hom._proof_2
0.000018    12724 normed_field.norm_hom
0.000018    12725 normed_field.norm_fpow
0.000017    12726 semi_normed_space.norm_smul_le
0.000019    12727 smul_smul
0.000017    12728 units.inv_smul_smul
0.000019    12729 inv_smul_smul'
0.000017    12730 normed_field.norm_inv
0.000018    12731 norm_smul
0.000018    12732 fpow_zero
0.000018    12733 fpow_coe_nat
0.000018    12734 fpow_one
0.000018    12735 fpow_add_one
0.000018    12736 fpow_sub_one
0.000018    12737 fpow_add
0.000018    12738 fpow_pos_of_pos
0.000018    12739 rescale_to_shell_semi_normed
0.000018    12740 linear_map.bound_of_shell_semi_normed
0.000017    12741 div_le_iff'
0.000018    12742 one_div_div
0.000018    12743 linear_map.bound_of_continuous
0.000018    12744 continuous_linear_map.cont
0.000018    12745 continuous_linear_map.bound
0.000018    12746 continuous_linear_map.is_O_id
0.000018    12747 continuous_linear_map.is_O_comp
0.000018    12748 continuous_linear_map.is_O_sub
0.000017    12749 normed_space.norm_smul_le
0.000018    12750 normed_space.to_semi_normed_space
0.000018    12751 has_fderiv_at_filter.is_O_sub
0.000018    12752 has_fderiv_at_filter.tendsto_nhds
0.000018    12753 has_fderiv_at.continuous_at
0.000018    12754 differentiable_at.continuous_at
0.000018    12755 differentiable.continuous
0.000018    12756 real.nondiscrete_normed_field._proof_1
0.000018    12757 real.nondiscrete_normed_field
0.000018    12758 normed_field.to_normed_space._proof_1
0.000018    12759 normed_field.to_normed_space
0.000018    12760 is_scalar_tower
0.000018    12761 has_continuous_smul
0.000019    12762 linear_map.smul_right._proof_1
0.000017    12763 is_scalar_tower.smul_assoc
0.000019    12764 smul_assoc
0.000017    12765 linear_map.smul_right._proof_2
0.000018    12766 linear_map.smul_right
0.000018    12767 continuous_linear_map.smul_right._proof_1
0.000018    12768 continuous_linear_map.smul_right._proof_2
0.000018    12769 has_continuous_smul.continuous_smul
0.000018    12770 continuous.smul
0.000018    12771 continuous_linear_map.smul_right._proof_3
0.000018    12772 continuous_linear_map.smul_right
0.000018    12773 is_scalar_tower.left
0.000018    12774 has_deriv_at_filter._proof_1
0.000018    12775 smul_neg
0.000018    12776 smul_sub
0.000018    12777 module
0.000018    12778 neg_smul
0.000018    12779 sub_smul
0.000018    12780 semi_normed_space.has_continuous_smul
0.000018    12781 has_deriv_at_filter._proof_2
0.000018    12782 linear_map.id._proof_1
0.000018    12783 linear_map.id._proof_2
0.000018    12784 linear_map.id
0.000018    12785 continuous_linear_map.id
0.000018    12786 continuous_linear_map.has_one
0.000018    12787 has_deriv_at_filter
0.000019    12788 has_deriv_at
0.000017    12789 has_fderiv_at.differentiable_at
0.000018    12790 has_deriv_at.differentiable_at
0.000018    12791 complex.sin
0.000019    12792 real.sin
0.000017    12793 normed_group.core
0.000019    12794 semi_normed_group.core
0.000018    12795 semi_normed_group.core.norm_zero
0.000018    12796 semi_normed_group.of_core._proof_1
0.000016    12797 semi_normed_group.core.norm_neg
0.000017    12798 semi_normed_group.of_core._proof_2
0.000018    12799 semi_normed_group.core.triangle
0.000018    12800 semi_normed_group.of_core._proof_3
0.000018    12801 semi_normed_group.of_core._proof_4
0.000018    12802 semi_normed_group.of_core._proof_5
0.000018    12803 semi_normed_group.of_core._proof_6
0.000018    12804 semi_normed_group.of_core._proof_7
0.000018    12805 semi_normed_group.of_core._proof_8
1.014197    12806 semi_normed_group.of_core._proof_9
0.000076    12807 semi_normed_group.of_core
0.000025    12808 normed_group.core.norm_eq_zero_iff
0.000016    12809 normed_group.core.triangle
0.000015    12810 normed_group.core.norm_neg
0.000014    12811 normed_group.core.to_semi_normed_group.core
0.000015    12812 normed_group.of_core._proof_1
0.000015    12813 normed_group.of_core._proof_2
0.000015    12814 normed_group.of_core
0.000015    12815 complex.has_norm
0.000018    12816 complex.abs_neg
0.000018    12817 complex.normed_group._proof_1
0.000016    12818 complex.normed_group
0.000014    12819 complex.normed_field._proof_1
0.000019    12820 complex.normed_field
0.000018    12821 complex.of_real_bit0
0.000018    12822 complex.abs_two
0.000018    12823 complex.nondiscrete_normed_field._proof_1
0.000016    12824 complex.nondiscrete_normed_field
0.000014    12825 complex.has_scalar
0.000018    12826 complex.smul_re
0.000019    12827 complex.smul_im
0.000016    12828 complex.mul_action._proof_1
0.000018    12829 complex.mul_action._proof_2
0.000017    12830 complex.mul_action
0.000016    12831 complex.distrib_mul_action._proof_1
0.000016    12832 complex.distrib_mul_action._proof_2
0.000015    12833 complex.distrib_mul_action
0.000017    12834 complex.semimodule._proof_1
0.000016    12835 complex.semimodule._proof_2
0.000017    12836 complex.semimodule
0.000018    12837 linear_isometry
0.000018    12838 linear_isometry.to_linear_map
0.000019    12839 linear_isometry.has_coe_to_fun
0.000017    12840 isometry
0.000019    12841 lipschitz_with.continuous
0.000018    12842 isometry.lipschitz
0.000018    12843 isometry.continuous
0.000018    12844 ennreal.to_real_of_real
0.000018    12845 dist_edist
0.000018    12846 isometry_emetric_iff_metric
0.000018    12847 add_monoid_hom.map_add_neg
0.000018    12848 add_monoid_hom.map_sub
0.000018    12849 add_monoid_hom.isometry_iff_norm
0.000018    12850 add_monoid_hom.isometry_of_norm
0.000019    12851 linear_map.to_add_monoid_hom
0.000017    12852 linear_isometry.norm_map'
0.000019    12853 linear_isometry.norm_map
0.000017    12854 linear_isometry.isometry
0.000019    12855 linear_isometry.continuous
0.000018    12856 linear_isometry.to_continuous_linear_map
0.000018    12857 algebra
0.000018    12858 algebra.to_has_scalar
0.000018    12859 algebra.to_ring_hom
0.000018    12860 algebra_map
0.000018    12861 algebra.smul_def'
0.000018    12862 algebra.smul_def''
0.000018    12863 algebra.to_semimodule._proof_1
0.000018    12864 algebra.to_semimodule._proof_2
0.000018    12865 algebra.to_semimodule._proof_3
0.000018    12866 algebra.to_semimodule._proof_4
0.000018    12867 algebra.to_semimodule._proof_5
0.000018    12868 algebra.to_semimodule._proof_6
0.000018    12869 algebra.to_semimodule
0.000018    12870 ring_hom.to_algebra'._proof_1
0.000018    12871 ring_hom.to_algebra'
0.000018    12872 ring_hom.to_algebra._proof_1
0.000018    12873 ring_hom.to_algebra
0.000018    12874 algebra.id
0.000018    12875 algebra.smul_def
0.000018    12876 algebra.id.map_eq_self
0.000018    12877 complex.algebra._proof_1
0.000018    12878 complex.algebra._proof_2
0.000018    12879 complex.algebra._proof_3
0.000018    12880 complex.algebra._proof_4
0.000018    12881 ring_hom.to_fun_eq_coe
0.000018    12882 ring_hom.coe_comp
0.000018    12883 complex.of_real_eq_coe
0.000018    12884 algebra.commutes'
0.000018    12885 algebra.commutes
0.000018    12886 complex.algebra._match_1
0.000018    12887 complex.algebra._proof_5
0.000018    12888 complex.algebra._proof_6
0.000018    12889 complex.algebra
0.000018    12890 complex.coe_algebra_map
0.000016    12891 complex.of_real_inj
0.000015    12892 complex.of_real_eq_zero
0.000017    12893 complex.of_real_lm._proof_1
0.000018    12894 complex.of_real_lm
0.000018    12895 complex.of_real_lm_coe
0.000018    12896 complex.norm_real
0.000018    12897 complex.of_real_li._proof_1
0.000018    12898 complex.of_real_li
0.000018    12899 complex.of_real_clm
0.000018    12900 continuous_linear_map.comp._proof_1
0.000018    12901 continuous_linear_map.comp
0.000018    12902 semi_normed_comm_ring.to_comm_ring._proof_1
0.000018    12903 semi_normed_comm_ring.to_comm_ring._proof_2
0.000018    12904 semi_normed_comm_ring.to_comm_ring._proof_3
0.000018    12905 semi_normed_comm_ring.to_comm_ring._proof_4
0.000018    12906 semi_normed_comm_ring.to_comm_ring._proof_5
0.000019    12907 semi_normed_comm_ring.to_comm_ring._proof_6
0.000018    12908 semi_normed_comm_ring.to_comm_ring._proof_7
0.000018    12909 semi_normed_comm_ring.to_comm_ring._proof_8
0.000018    12910 semi_normed_comm_ring.to_comm_ring._proof_9
0.000018    12911 semi_normed_comm_ring.to_comm_ring._proof_10
0.000018    12912 semi_normed_comm_ring.to_comm_ring._proof_11
0.000018    12913 semi_normed_comm_ring.to_comm_ring._proof_12
0.000018    12914 semi_normed_comm_ring.to_comm_ring._proof_13
0.000019    12915 semi_normed_comm_ring.to_comm_ring._proof_14
0.000018    12916 semi_normed_comm_ring.to_comm_ring._proof_15
0.000018    12917 semi_normed_comm_ring.mul_comm
0.000018    12918 semi_normed_comm_ring.to_comm_ring
1.295224    12919 normed_algebra
0.000074    12920 normed_ring.to_semi_normed_ring
0.000025    12921 semi_normed_algebra
0.000015    12922 semi_normed_algebra.to_algebra
0.000015    12923 semi_normed_algebra.norm_algebra_map_eq
0.000015    12924 norm_algebra_map_eq
0.000015    12925 semi_normed_algebra.to_semi_normed_space._proof_1
0.000015    12926 semi_normed_algebra.to_semi_normed_space
0.000014    12927 normed_algebra.to_algebra
0.000015    12928 normed_algebra.norm_algebra_map_eq
0.000018    12929 normed_algebra.to_semi_normed_algebra
0.000018    12930 normed_algebra.to_normed_space._proof_1
0.000019    12931 normed_algebra.to_normed_space
0.000016    12932 complex.normed_algebra._proof_1
0.000014    12933 complex.normed_algebra
0.000018    12934 normed_algebra.id._proof_1
0.000016    12935 normed_algebra.id._proof_2
0.000018    12936 normed_algebra.id._proof_3
0.000029    12937 normed_algebra.id
0.000018    12938 lipschitz_with.equations._eqn_1
0.000015    12939 dist_nndist
0.000015    12940 lipschitz_with_iff_dist_le_mul
0.000018    12941 lipschitz_with.of_dist_le_mul
0.000016    12942 nnreal.le_coe_of_real
0.000018    12943 lipschitz_with.of_dist_le'
0.000016    12944 linear_map.map_sub
0.000015    12945 linear_map.lipschitz_of_bound
0.000017    12946 linear_map.continuous_of_bound
0.000016    12947 linear_map.mk_continuous
0.000017    12948 complex.smul_coe
0.000019    12949 complex.re_lm._proof_1
0.000018    12950 complex.re_lm
0.000018    12951 complex.re_lm_coe
0.000018    12952 real.norm_eq_abs
0.000018    12953 complex.norm_eq_abs
0.000019    12954 complex.re_clm._proof_1
0.000018    12955 complex.re_clm
0.000018    12956 linear_map.compatible_smul
0.000018    12957 linear_map.compatible_smul.map_smul
0.000018    12958 linear_map.map_smul_of_tower
0.000018    12959 linear_map.restrict_scalars._proof_1
0.000019    12960 linear_map.restrict_scalars
0.000018    12961 continuous_linear_map.continuous
0.000018    12962 continuous_linear_map.restrict_scalars._proof_1
0.000018    12963 continuous_linear_map.restrict_scalars
0.000018    12964 smul_one_smul
0.000018    12965 linear_map.is_scalar_tower.compatible_smul._proof_1
0.000018    12966 linear_map.is_scalar_tower.compatible_smul
0.000019    12967 restrict_scalars
0.000017    12968 restrict_scalars.add_comm_monoid
0.000018    12969 mul_action_with_zero.comp_hom._proof_1
0.000018    12970 mul_action_with_zero.comp_hom._proof_2
0.000022    12971 zero_hom
0.000027    12972 zero_hom.to_fun
0.000019    12973 zero_hom.has_coe_to_fun
0.000018    12974 smul_with_zero.smul_zero
0.000018    12975 smul_zero'
0.000016    12976 smul_with_zero.comp_hom._proof_1
0.000018    12977 zero_hom.map_zero'
0.000018    12978 zero_hom.map_zero
0.000018    12979 smul_with_zero.comp_hom._proof_2
0.000018    12980 smul_with_zero.comp_hom
0.000018    12981 monoid_with_zero_hom.to_zero_hom
0.000018    12982 mul_action_with_zero.comp_hom._proof_3
0.000018    12983 mul_action_with_zero.comp_hom._proof_4
0.000019    12984 mul_action_with_zero.comp_hom
0.000018    12985 semimodule.comp_hom._proof_1
0.000018    12986 semimodule.comp_hom._proof_2
0.000018    12987 mul_action.comp_hom._proof_1
0.000018    12988 mul_action.comp_hom._proof_2
0.000018    12989 mul_action.comp_hom
0.000018    12990 distrib_mul_action.comp_hom._proof_1
0.000018    12991 distrib_mul_action.comp_hom._proof_2
0.000018    12992 distrib_mul_action.comp_hom._proof_3
0.000018    12993 distrib_mul_action.comp_hom._proof_4
0.000018    12994 distrib_mul_action.comp_hom
0.000018    12995 semimodule.comp_hom._proof_3
0.000018    12996 semimodule.comp_hom._proof_4
0.000018    12997 semimodule.comp_hom._proof_5
0.000017    12998 semimodule.comp_hom._proof_6
0.000019    12999 semimodule.comp_hom
0.000018    13000 restrict_scalars.module_orig
0.000018    13001 restrict_scalars.semimodule
0.000018    13002 module.complex_to_real
0.000018    13003 restrict_scalars.is_scalar_tower
0.000018    13004 module.real_complex_tower
0.000016    13005 complex.of_real_clm_apply
0.000017    13006 continuous_linear_map.coe_comp'
0.000018    13007 continuous_linear_map.coe_restrict_scalars'
0.000019    13008 continuous_linear_map.smul_right_apply
0.000018    13009 continuous_linear_map.one_apply
0.000018    13010 complex.re_clm_apply
0.000018    13011 has_deriv_at_filter.equations._eqn_1
0.000018    13012 continuous_linear_map.cases_on
0.000018    13013 continuous_linear_map.coe_injective
0.000018    13014 continuous_linear_map.coe_inj
0.000018    13015 linear_map.cases_on
0.000018    13016 linear_map.coe_injective
0.000018    13017 linear_map.ext
0.000018    13018 smul_eq_mul
0.000018    13019 linear_map.ext_ring
0.000026    13020 continuous_linear_map.ext_ring
0.000022    13021 continuous_linear_map.map_smul_of_tower
0.000019    13022 continuous_linear_map.smul_right_one_one
0.000018    13023 has_fderiv_at_filter_iff_has_deriv_at_filter
0.000018    13024 has_fderiv_at_iff_has_deriv_at
0.000018    13025 has_fderiv_at.has_deriv_at
0.000019    13026 asymptotics.is_o_iff_forall_is_O_with
0.835206    13027 asymptotics.is_o.of_is_O_with
0.000074    13028 asymptotics.is_o.forall_is_O_with
0.000025    13029 asymptotics.is_o.comp_tendsto
0.000015    13030 filter.tendsto_map
0.000015    13031 asymptotics.is_o_congr
0.000015    13032 asymptotics.is_o.congr'
0.000016    13033 asymptotics.is_o.congr
0.000015    13034 asymptotics.is_o.congr_left
0.000015    13035 asymptotics.is_o.add
0.000015    13036 asymptotics.is_o.triangle
0.000018    13037 continuous_linear_map.map_sub
0.000017    13038 has_fderiv_at_filter.comp
0.000016    13039 asymptotics.is_O_with.mono
0.000015    13040 asymptotics.is_o.mono
0.000015    13041 has_fderiv_at_filter.mono
0.000015    13042 has_fderiv_at.comp
0.000019    13043 asymptotics.is_o.of_bound
0.000016    13044 asymptotics.is_o_zero
0.000019    13045 continuous_linear_map.has_fderiv_at_filter
0.000018    13046 continuous_linear_map.has_fderiv_at
0.000015    13047 has_fderiv_at.restrict_scalars
0.000020    13048 has_deriv_at_iff_has_fderiv_at
0.000015    13049 has_deriv_at.has_fderiv_at
0.000018    13050 has_deriv_at.real_of_complex
0.000019    13051 has_strict_fderiv_at
0.000023    13052 has_strict_deriv_at._proof_1
0.000024    13053 has_strict_deriv_at._proof_2
0.000019    13054 has_strict_deriv_at
0.000018    13055 has_fderiv_at.equations._eqn_1
0.000019    13056 has_fderiv_at_filter.equations._eqn_1
0.000018    13057 has_strict_fderiv_at.has_fderiv_at
0.000018    13058 has_strict_deriv_at.has_deriv_at
0.000018    13059 complex.sin.equations._eqn_1
0.000018    13060 linear_map.has_add._proof_1
0.000019    13061 linear_map.has_add._proof_2
0.000018    13062 linear_map.has_add
0.000015    13063 continuous_linear_map.has_add._proof_1
0.000015    13064 continuous_linear_map.has_add
0.000017    13065 smul_comm_class
0.000019    13066 linear_map.has_scalar._proof_1
0.000017    13067 smul_comm_class.smul_comm
0.000018    13068 linear_map.has_scalar._proof_2
0.000018    13069 linear_map.has_scalar
0.000018    13070 continuous_linear_map.has_scalar._proof_1
0.000018    13071 continuous_linear_map.has_scalar
0.000019    13072 algebra_compatible_smul
0.000018    13073 is_scalar_tower.to_smul_comm_class
0.000018    13074 continuous_linear_map.add_apply
0.000018    13075 smul_comm_class_self
0.000018    13076 continuous_linear_map.coe_smul'
0.000018    13077 has_strict_fderiv_at.equations._eqn_1
0.000018    13078 has_strict_deriv_at.equations._eqn_1
0.000018    13079 has_strict_fderiv_at_iff_has_strict_deriv_at
0.000018    13080 has_strict_fderiv_at.has_strict_deriv_at
0.000018    13081 continuous_at.prod
0.000018    13082 continuous_at.comp
0.000018    13083 continuous_at.prod_map
0.000018    13084 continuous_at.prod_map'
0.000018    13085 has_strict_fderiv_at.continuous_at
0.000018    13086 has_strict_fderiv_at.is_O_sub
0.000018    13087 has_strict_fderiv_at.comp
0.000018    13088 prod.has_add
0.000020    13089 prod.add_semigroup._proof_1
0.000024    13090 prod.add_semigroup
0.000020    13091 prod.add_comm_semigroup._proof_1
0.000018    13092 prod.add_comm_semigroup._proof_2
0.000018    13093 prod.add_comm_semigroup
0.000032    13094 prod.add_comm_group._proof_1
0.000018    13095 prod.add_monoid._proof_1
0.000018    13096 prod.has_zero
0.000019    13097 prod.rec_on
0.000019    13098 prod.add_zero_class._proof_1
0.000018    13099 prod.add_zero_class._proof_2
0.000018    13100 prod.add_zero_class
0.000018    13101 prod.add_monoid._proof_2
0.000019    13102 prod.add_monoid._proof_3
0.000017    13103 prod.add_monoid._proof_4
0.000019    13104 prod.add_monoid._proof_5
0.000018    13105 prod.add_monoid._proof_6
0.000018    13106 prod.add_monoid._proof_7
0.000018    13107 prod.add_monoid
0.000017    13108 prod.add_group._proof_1
0.000018    13109 prod.add_group._proof_2
0.000019    13110 prod.add_group._proof_3
0.000017    13111 prod.add_group._proof_4
0.000019    13112 prod.add_group._proof_5
0.000017    13113 prod.has_neg
0.000019    13114 prod.has_sub
0.000018    13115 prod.add_group._proof_6
0.000018    13116 prod.add_group._proof_7
0.000018    13117 prod.add_group
0.000018    13118 prod.add_comm_group._proof_2
0.000018    13119 prod.add_comm_group._proof_3
0.000018    13120 prod.add_comm_group._proof_4
0.000026    13121 prod.add_comm_group._proof_5
0.000022    13122 prod.add_comm_group._proof_6
0.000018    13123 prod.add_comm_group._proof_7
0.000018    13124 prod.add_comm_group._proof_8
0.000018    13125 prod.add_comm_group
0.000018    13126 prod.fst_sub
0.000018    13127 prod.snd_sub
0.000018    13128 prod.semi_normed_group._proof_1
0.000018    13129 prod.semi_normed_group
0.000017    13130 prod.metric_space_max._proof_1
0.000018    13131 prod.metric_space_max._proof_2
0.000018    13132 prod.metric_space_max._proof_3
0.000018    13133 prod.metric_space_max._proof_4
0.000018    13134 prod.metric_space_max._proof_5
0.000018    13135 prod.metric_space_max._proof_6
0.000018    13136 prod.metric_space_max
0.000018    13137 prod.normed_group._proof_1
0.000018    13138 prod.normed_group
0.000018    13139 prod.add_comm_monoid._proof_1
0.000017    13140 prod.add_comm_monoid._proof_2
0.000019    13141 prod.add_comm_monoid._proof_3
1.147624    13142 prod.add_comm_monoid._proof_4
0.000075    13143 prod.add_comm_monoid._proof_5
0.000024    13144 prod.add_comm_monoid._proof_6
0.000016    13145 prod.add_comm_monoid
0.000015    13146 prod.has_scalar
0.000014    13147 prod.mul_action._match_1
0.000015    13148 prod.mul_action._proof_1
0.000015    13149 prod.mul_action._proof_2
0.000014    13150 prod.mul_action
0.000015    13151 prod.distrib_mul_action._proof_1
0.000015    13152 prod.distrib_mul_action._proof_2
0.000017    13153 prod.distrib_mul_action
0.000019    13154 prod.semimodule._proof_1
0.000015    13155 prod.semimodule._proof_2
0.000015    13156 prod.semimodule._proof_3
0.000015    13157 prod.semimodule._match_1
0.000015    13158 prod.semimodule._proof_4
0.000017    13159 prod.semimodule
0.000018    13160 prod.semi_normed_space._proof_1
0.000016    13161 prod.semi_normed_space._proof_2
0.000015    13162 prod.semi_norm_def
0.000015    13163 prod.smul_fst
0.000018    13164 prod.smul_snd
0.000015    13165 monotone_mul_left_of_nonneg
0.000017    13166 mul_max_of_nonneg
0.000016    13167 prod.semi_normed_space._proof_3
0.000016    13168 prod.semi_normed_space
0.000015    13169 prod.normed_space._proof_1
0.000017    13170 prod.normed_space
0.000019    13171 prod.mk_add_mk
0.000015    13172 linear_map.prod._proof_1
0.000015    13173 prod.smul_mk
0.000017    13174 linear_map.prod._proof_2
0.000019    13175 linear_map.prod
0.000015    13176 continuous_linear_map.prod._proof_1
0.000018    13177 continuous_linear_map.prod
0.000018    13178 is_bounded_bilinear_map
0.000018    13179 linear_map.mk_continuous_of_exists_bound._match_1
0.000018    13180 linear_map.mk_continuous_of_exists_bound
0.000018    13181 is_bounded_bilinear_map.add_right
0.000018    13182 is_bounded_bilinear_map.add_left
0.000018    13183 is_bounded_bilinear_map.linear_deriv._proof_1
0.000018    13184 is_bounded_bilinear_map.smul_right
0.000018    13185 is_bounded_bilinear_map.smul_left
0.000018    13186 is_bounded_bilinear_map.linear_deriv._proof_2
0.000018    13187 is_bounded_bilinear_map.linear_deriv
0.000018    13188 is_bounded_bilinear_map.bound
0.000017    13189 is_bounded_bilinear_map.deriv._proof_1
0.000018    13190 is_bounded_bilinear_map.deriv
0.000018    13191 smul_comm_class.symm
0.000018    13192 is_scalar_tower.to_smul_comm_class'
0.000018    13193 smul_algebra_smul_comm
0.000018    13194 is_bounded_bilinear_map_smul
0.000018    13195 asymptotics.is_o_neg_left
0.000018    13196 asymptotics.is_o.neg_left
0.000018    13197 asymptotics.is_o.sub
0.000018    13198 asymptotics.is_o.congr_of_sub
0.000018    13199 prod.mk_sub_mk
0.000024    13200 is_bounded_bilinear_map.map_sub_right
0.000025    13201 is_bounded_bilinear_map.map_sub_left
0.000019    13202 is_bounded_bilinear_map_deriv_coe
0.000018    13203 metric_space.induced._proof_1
0.000018    13204 metric_space.induced._proof_2
0.000018    13205 metric_space.induced._proof_3
0.000018    13206 metric_space.induced._proof_4
0.000018    13207 metric_space.induced._proof_5
0.000018    13208 metric_space.induced._proof_6
0.000018    13209 metric_space.induced
0.000018    13210 int.cast_eq_zero
0.000018    13211 int.cast_inj
0.000018    13212 int.cast_injective
0.000018    13213 int.metric_space._proof_1
0.000018    13214 emetric_space.to_uniform_space'
0.000018    13215 metric.metric_space.to_emetric_space._proof_1
0.000018    13216 metric.metric_space.to_emetric_space._proof_2
0.000018    13217 metric.metric_space.to_emetric_space._proof_3
0.000018    13218 metric.metric_space.to_emetric_space._proof_4
0.000018    13219 ennreal.of_real_eq_zero
0.000018    13220 metric.metric_space.to_emetric_space._proof_5
0.000018    13221 metric.metric_space.to_emetric_space
0.000018    13222 metric_space.replace_uniformity._proof_1
0.000018    13223 metric_space.replace_uniformity._proof_2
0.000018    13224 metric_space.replace_uniformity._proof_3
0.000018    13225 metric_space.replace_uniformity._proof_4
0.000018    13226 metric_space.replace_uniformity._proof_5
0.000018    13227 metric_space.replace_uniformity
0.000018    13228 int.uniform_space
0.000018    13229 int.cast_mono
0.000018    13230 int.cast_max
0.000018    13231 int.cast_abs
0.000018    13232 int.lt_add_one_iff
0.000019    13233 int.coe_nat_one
0.000017    13234 strict_mono_of_le_iff_le
0.000018    13235 int.cast_strict_mono
0.000018    13236 int.cast_lt
0.000019    13237 int.metric_space._proof_2
0.000017    13238 int.metric_space
0.000019    13239 int.dist_eq
0.000018    13240 int.normed_comm_ring._proof_1
0.000018    13241 int.normed_comm_ring._proof_2
0.000018    13242 int.normed_comm_ring
0.000018    13243 continuous_linear_map.add_comm_group._proof_1
0.000018    13244 function.injective.comp
0.000015    13245 continuous_linear_map.coe_fn_injective
0.000019    13246 continuous_linear_map.ext
0.000018    13247 continuous_linear_map.add_comm_monoid._proof_1
0.000018    13248 linear_map.has_zero._proof_1
0.000018    13249 linear_map.has_zero._proof_2
0.000018    13250 linear_map.has_zero
0.000018    13251 continuous_linear_map.has_zero._proof_1
0.940708    13252 continuous_linear_map.has_zero
0.000074    13253 continuous_linear_map.add_comm_monoid._proof_2
0.000024    13254 continuous_linear_map.add_comm_monoid._proof_3
0.000016    13255 continuous_linear_map.map_add
0.000015    13256 continuous_linear_map.add_comm_monoid._proof_4
0.000015    13257 continuous_linear_map.map_smul
0.000016    13258 add_comm_monoid.nat_smul_comm_class
0.000015    13259 continuous_linear_map.add_comm_monoid._proof_5
0.000015    13260 continuous_linear_map.continuous_nsmul
0.000018    13261 continuous_linear_map.continuous.nsmul
0.000019    13262 continuous_linear_map.add_comm_monoid._proof_6
0.000018    13263 continuous_linear_map.coe_mk'
0.000019    13264 linear_map.coe_mk
0.000016    13265 continuous_linear_map.zero_apply
0.000015    13266 continuous_linear_map.add_comm_monoid._proof_7
0.000017    13267 continuous_linear_map.add_comm_monoid._proof_8
0.000016    13268 continuous_linear_map.add_comm_monoid._proof_9
0.000018    13269 continuous_linear_map.add_comm_monoid
0.000019    13270 continuous_linear_map.add_comm_group._proof_2
0.000018    13271 continuous_linear_map.add_comm_group._proof_3
0.000019    13272 continuous_linear_map.add_comm_group._proof_4
0.000018    13273 continuous_linear_map.add_comm_group._proof_5
0.000018    13274 continuous_linear_map.add_comm_group._proof_6
0.000016    13275 continuous_linear_map.add_comm_group._proof_7
0.000015    13276 linear_map.has_neg._proof_1
0.000015    13277 linear_map.has_neg._proof_2
0.000017    13278 linear_map.has_neg
0.000016    13279 continuous_linear_map.has_neg._proof_1
0.000018    13280 continuous_linear_map.has_neg
0.000018    13281 linear_map.has_sub._proof_1
0.000018    13282 linear_map.has_sub._proof_2
0.000018    13283 linear_map.has_sub
0.000018    13284 continuous.sub
0.000018    13285 continuous_linear_map.has_sub._proof_1
0.000027    13286 continuous_linear_map.has_sub
0.000021    13287 continuous_linear_map.add_comm_group._proof_8
0.000019    13288 continuous_linear_map.add_comm_group._proof_9
0.000018    13289 continuous_linear_map.add_comm_group._proof_10
0.000018    13290 continuous_linear_map.add_comm_group
0.000018    13291 continuous_linear_map.to_normed_group._proof_1
0.000018    13292 continuous_linear_map.op_norm
0.000018    13293 continuous_linear_map.has_op_norm
0.000018    13294 norm_le_zero_iff
0.000028    13295 continuous_linear_map.bounds_nonempty
0.000017    13296 continuous_linear_map.bounds_bdd_below
0.000015    13297 continuous_linear_map.le_op_norm
0.000018    13298 continuous_linear_map.op_norm_nonneg
0.000019    13299 continuous_linear_map.op_norm_zero_iff
0.000018    13300 continuous_linear_map.op_norm_le_bound
0.000018    13301 continuous_linear_map.map_zero
0.000018    13302 lipschitz_with.dist_le_mul
0.000018    13303 continuous_linear_map.op_norm_le_of_lipschitz
0.000018    13304 continuous_linear_map.lipschitz
0.000018    13305 continuous_linear_map.op_norm_add_le
0.000018    13306 continuous_linear_map.norm_def
0.000018    13307 continuous_linear_map.neg_apply
0.000018    13308 continuous_linear_map.op_norm_neg
0.000018    13309 continuous_linear_map.to_normed_group._proof_2
0.000018    13310 continuous_linear_map.to_normed_group
0.000017    13311 asymptotics.is_O_iff
0.000019    13312 asymptotics.is_O.of_bound
0.000017    13313 is_bounded_bilinear_map.is_O
0.000018    13314 is_bounded_bilinear_map.is_O_comp
0.000018    13315 continuous_linear_map.semimodule._proof_1
0.000018    13316 continuous_linear_map.semimodule._proof_2
0.000018    13317 continuous_linear_map.semimodule._proof_3
0.000018    13318 continuous_linear_map.semimodule._proof_4
0.000018    13319 continuous_linear_map.semimodule._proof_5
0.000016    13320 continuous_linear_map.semimodule._proof_6
0.000015    13321 continuous_linear_map.semimodule
0.000017    13322 continuous_linear_map.to_normed_space._proof_1
0.000018    13323 continuous_linear_map.to_normed_space._proof_2
0.000017    13324 continuous_linear_map.op_norm_smul_le
0.000018    13325 continuous_linear_map.to_normed_space._proof_3
0.000018    13326 continuous_linear_map.to_normed_space
0.000018    13327 continuous_linear_map.inhabited
0.000018    13328 is_bounded_bilinear_map_apply
0.000018    13329 asymptotics.is_O_with.mul
0.000018    13330 asymptotics.is_o.mul_is_O
0.000018    13331 asymptotics.is_o_norm_left
0.000018    13332 asymptotics.is_o.norm_left
0.000018    13333 normed_linear_ordered_field
0.000018    13334 normed_linear_ordered_field.to_has_norm
0.000018    13335 real.normed_linear_ordered_field._proof_1
0.000018    13336 real.normed_linear_ordered_field
0.000017    13337 is_linear_map
0.000018    13338 is_bounded_linear_map
0.000018    13339 is_bounded_linear_map.bound
0.000018    13340 is_bounded_linear_map.is_O_id
0.000018    13341 is_linear_map.with_bound
0.000018    13342 continuous_linear_map.inl
0.000018    13343 continuous_linear_map.inr
0.000018    13344 linear_map.inl
1.396898    13345 linear_map.inr
0.000076    13346 linear_equiv
0.000024    13347 linear_map.add_apply
0.000016    13348 linear_map.add_comm_monoid._proof_1
0.000015    13349 linear_map.zero_apply
0.000015    13350 linear_map.add_comm_monoid._proof_2
0.000015    13351 linear_map.add_comm_monoid._proof_3
0.000014    13352 linear_map.add_comm_monoid._proof_4
0.000015    13353 linear_map.add_comm_monoid._proof_5
0.000015    13354 linear_map.add_comm_monoid._proof_6
0.000017    13355 linear_map.add_comm_monoid._proof_7
0.000019    13356 linear_map.add_comm_monoid._proof_8
0.000018    13357 linear_map.add_comm_monoid
0.000016    13358 linear_map.distrib_mul_action._proof_1
0.000015    13359 linear_map.distrib_mul_action._proof_2
0.000015    13360 linear_map.distrib_mul_action._proof_3
0.000014    13361 linear_map.distrib_mul_action._proof_4
0.000018    13362 linear_map.distrib_mul_action
0.000020    13363 linear_map.semimodule._proof_1
0.000018    13364 linear_map.semimodule._proof_2
0.000018    13365 linear_map.semimodule
0.000018    13366 add_comm_monoid.nat_smul_comm_class'
0.000018    13367 linear_equiv.to_fun
0.000018    13368 linear_equiv.has_coe_to_fun
0.000018    13369 linear_map.inverse._proof_1
0.000018    13370 linear_map.inverse._proof_2
0.000018    13371 linear_map.inverse
0.000018    13372 linear_equiv.map_add'
0.000018    13373 linear_equiv.map_smul'
0.000018    13374 linear_equiv.to_linear_map
0.000018    13375 linear_equiv.inv_fun
0.000018    13376 linear_equiv.left_inv
0.000018    13377 linear_equiv.right_inv
0.000018    13378 linear_equiv.symm._proof_1
0.000018    13379 linear_equiv.symm._proof_2
0.000018    13380 linear_equiv.to_add_equiv
0.000018    13381 linear_equiv.to_equiv
0.000018    13382 linear_equiv.symm._proof_3
0.000018    13383 linear_equiv.symm._proof_4
0.000018    13384 linear_equiv.symm
0.000018    13385 linear_map.fst._proof_1
0.000018    13386 linear_map.fst._proof_2
0.000018    13387 linear_map.fst
0.000018    13388 linear_map.snd._proof_1
0.000018    13389 linear_map.snd._proof_2
0.000018    13390 linear_map.snd
0.000018    13391 linear_map.coprod
0.000017    13392 prod.fst_add
0.000018    13393 prod.snd_add
0.000018    13394 linear_map.coprod_apply
0.000018    13395 linear_map.coprod_equiv._proof_1
0.000018    13396 linear_map.smul_apply
0.000018    13397 linear_map.coprod_equiv._proof_2
0.000018    13398 linear_map.comp_apply
0.000019    13399 linear_map.inl_apply
0.000017    13400 linear_map.coprod_inl
0.000018    13401 linear_map.inr_apply
0.000018    13402 linear_map.coprod_inr
0.000018    13403 linear_map.coprod_equiv._proof_3
0.000018    13404 linear_map.comp_coprod
0.000018    13405 linear_map.id_apply
0.000018    13406 linear_map.coprod_inl_inr
0.000018    13407 linear_map.comp_id
0.000018    13408 linear_map.coprod_equiv._proof_4
0.000018    13409 linear_map.coprod_equiv
0.000016    13410 linear_equiv.injective
0.000015    13411 linear_map.prod_ext_iff
0.000018    13412 continuous_linear_map.prod_ext_iff
0.000018    13413 continuous_linear_map.prod_ext
0.000018    13414 continuous_linear_map.inl_apply
0.000018    13415 continuous_linear_map.add_comp
0.000018    13416 continuous_linear_map.inr_apply
0.000018    13417 continuous_linear_map.smul_comp
0.000018    13418 is_bounded_bilinear_map.is_bounded_linear_map_deriv
0.000018    13419 prod.has_continuous_add
0.000018    13420 continuous.prod_map
0.000019    13421 prod.topological_add_group
0.000018    13422 asymptotics.is_O_with_of_le
0.000018    13423 asymptotics.is_O_with_refl
0.000018    13424 asymptotics.is_O_refl
0.000018    13425 asymptotics.is_O.of_norm_right
0.000018    13426 asymptotics.is_O_with_const_mul_self
0.000018    13427 asymptotics.is_O_const_mul_self
0.000018    13428 asymptotics.is_o_norm_right
0.000018    13429 asymptotics.is_O_with.exists_nonneg
0.000018    13430 asymptotics.is_O.exists_nonneg
0.000018    13431 asymptotics.is_O.trans
0.000018    13432 asymptotics.is_O.mul
0.000018    13433 asymptotics.is_O.norm_norm
0.000018    13434 asymptotics.is_O_with_fst_prod
0.000018    13435 asymptotics.is_O_fst_prod
0.000018    13436 asymptotics.is_O_fst_prod'
0.000019    13437 asymptotics.is_O_with_snd_prod
0.000018    13438 asymptotics.is_O_snd_prod
0.000018    13439 asymptotics.is_O_snd_prod'
0.000018    13440 is_bounded_bilinear_map.is_O'
0.000018    13441 asymptotics.is_O.mul_is_o
0.000018    13442 is_bounded_bilinear_map.has_strict_fderiv_at
0.000018    13443 asymptotics.is_O_with.prod_left_same
0.000018    13444 asymptotics.is_o.prod_left
0.000018    13445 has_strict_fderiv_at.prod
0.000018    13446 has_strict_fderiv_at.smul
0.000019    13447 has_strict_deriv_at.smul
0.000018    13448 has_strict_deriv_at.mul
0.000018    13449 has_strict_fderiv_at_const
0.000018    13450 has_strict_deriv_at_const
0.000018    13451 has_strict_deriv_at.mul_const
0.000019    13452 has_strict_fderiv_at.add
0.000018    13453 has_strict_deriv_at.add
0.000018    13454 has_strict_deriv_at.scomp
0.000018    13455 has_strict_deriv_at.comp
0.000018    13456 is_R_or_C
0.000019    13457 is_R_or_C.to_nondiscrete_normed_field
0.330088    13458 multilinear_map
0.000076    13459 Pi.topological_space
0.000024    13460 multilinear_map.to_fun
0.000016    13461 continuous_multilinear_map
0.000014    13462 formal_multilinear_series
0.000015    13463 continuous_multilinear_map.to_multilinear_map
0.000015    13464 continuous_multilinear_map.has_coe_to_fun
0.000015    13465 continuous_multilinear_map.uncurry0
0.000014    13466 has_fderiv_within_at
0.000015    13467 function.injective.add_comm_group._proof_1
0.000018    13468 function.injective.add_comm_group._proof_2
0.000018    13469 function.injective.add_comm_group._proof_3
0.000016    13470 function.injective.add_comm_group._proof_4
0.000015    13471 function.injective.add_comm_group._proof_5
0.000017    13472 function.injective.sub_neg_add_monoid._proof_1
0.000016    13473 function.injective.sub_neg_add_monoid._proof_2
0.000017    13474 function.injective.sub_neg_add_monoid._proof_3
0.000019    13475 function.injective.sub_neg_add_monoid._proof_4
0.000019    13476 function.injective.sub_neg_add_monoid._proof_5
0.000018    13477 function.injective.sub_neg_add_monoid._proof_6
0.000018    13478 function.injective.sub_neg_add_monoid
0.000018    13479 function.injective.add_group._proof_1
0.000018    13480 function.injective.add_group._proof_2
0.000017    13481 function.injective.add_group._proof_3
0.000018    13482 function.injective.add_group._proof_4
0.000018    13483 function.injective.add_group._proof_5
0.000018    13484 function.injective.add_group._proof_6
0.000018    13485 function.injective.add_group._proof_7
0.000017    13486 function.injective.add_group
0.000018    13487 function.injective.add_comm_group._proof_6
0.000018    13488 function.injective.add_comm_group._proof_7
0.000018    13489 function.injective.add_comm_group._proof_8
0.000018    13490 function.injective.add_comm_group
0.000016    13491 multilinear_map.has_coe_to_fun
0.000014    13492 multilinear_map.map_add'
0.000018    13493 multilinear_map.map_add
0.000018    13494 multilinear_map.has_add._proof_1
0.000018    13495 multilinear_map.map_smul'
0.000017    13496 multilinear_map.map_smul
0.000018    13497 multilinear_map.has_add._proof_2
0.000018    13498 multilinear_map.has_add
0.000018    13499 continuous_multilinear_map.cont
0.000018    13500 continuous_multilinear_map.has_add._proof_1
0.000018    13501 continuous_multilinear_map.has_add
0.000018    13502 continuous_multilinear_map.add_comm_group._proof_1
0.000017    13503 multilinear_map.has_zero._proof_1
0.000018    13504 multilinear_map.has_zero._proof_2
0.000018    13505 multilinear_map.has_zero
0.000018    13506 continuous_multilinear_map.has_zero._proof_1
0.000018    13507 continuous_multilinear_map.has_zero._proof_2
0.000018    13508 continuous_multilinear_map.has_zero._proof_3
0.000017    13509 continuous_multilinear_map.has_zero
0.000018    13510 multilinear_map.has_neg._proof_1
0.000018    13511 multilinear_map.has_neg._proof_2
0.000018    13512 multilinear_map.has_neg
0.000018    13513 continuous_multilinear_map.has_neg._proof_1
0.000018    13514 continuous_multilinear_map.has_neg._proof_2
0.000018    13515 continuous_multilinear_map.has_neg._proof_3
0.000018    13516 continuous_multilinear_map.has_neg
0.000018    13517 multilinear_map.has_sub._proof_1
0.000018    13518 multilinear_map.has_sub._proof_2
0.000018    13519 multilinear_map.has_sub
0.000018    13520 continuous_multilinear_map.has_sub._proof_1
0.000018    13521 continuous_multilinear_map.has_sub._proof_2
0.000018    13522 continuous_multilinear_map.has_sub._proof_3
0.000018    13523 continuous_multilinear_map.has_sub
0.000017    13524 multilinear_map.cases_on
0.000018    13525 multilinear_map.coe_inj
0.000018    13526 multilinear_map.ext
0.000018    13527 multilinear_map.add_apply
0.000018    13528 multilinear_map.add_comm_monoid._proof_1
0.000018    13529 multilinear_map.zero_apply
0.000018    13530 multilinear_map.add_comm_monoid._proof_2
0.000018    13531 multilinear_map.add_comm_monoid._proof_3
0.000018    13532 multilinear_map.add_comm_monoid._proof_4
0.000018    13533 multilinear_map.add_comm_monoid._proof_5
0.000018    13534 multilinear_map.coe_mk
0.000018    13535 multilinear_map.add_comm_monoid._proof_6
0.000017    13536 multilinear_map.add_comm_monoid._proof_7
0.000018    13537 multilinear_map.add_comm_monoid._proof_8
0.000018    13538 multilinear_map.add_comm_monoid
0.000018    13539 multilinear_map.add_comm_group._proof_1
0.000018    13540 multilinear_map.add_comm_group._proof_2
0.000018    13541 multilinear_map.add_comm_group._proof_3
0.000018    13542 multilinear_map.add_comm_group._proof_4
0.000018    13543 multilinear_map.add_comm_group._proof_5
0.000018    13544 multilinear_map.sub_apply
0.000018    13545 multilinear_map.neg_apply
0.000017    13546 multilinear_map.add_comm_group._proof_6
0.000018    13547 multilinear_map.add_comm_group._proof_7
0.000018    13548 multilinear_map.add_comm_group._proof_8
1.285020    13549 multilinear_map.add_comm_group
0.000077    13550 continuous_multilinear_map.cases_on
0.000024    13551 continuous_multilinear_map.to_multilinear_map_inj
0.000016    13552 continuous_multilinear_map.add_comm_group._proof_2
0.000015    13553 continuous_multilinear_map.add_comm_group._proof_3
0.000015    13554 continuous_multilinear_map.add_comm_group._proof_4
0.000014    13555 continuous_multilinear_map.add_comm_group._proof_5
0.000015    13556 continuous_multilinear_map.add_comm_group._proof_6
0.000015    13557 continuous_multilinear_map.add_comm_group
0.000015    13558 continuous_multilinear_map.to_normed_group._proof_1
0.000017    13559 continuous_multilinear_map.op_norm
0.000019    13560 continuous_multilinear_map.has_op_norm
0.000016    13561 continuous_multilinear_map.ext
0.000017    13562 continuous_multilinear_map.zero_apply
0.000018    13563 ordered_comm_semiring
0.000018    13564 ordered_comm_semiring.add
0.000016    13565 ordered_comm_semiring.add_assoc
0.000015    13566 ordered_comm_semiring.zero
0.000014    13567 ordered_comm_semiring.zero_add
0.000015    13568 ordered_comm_semiring.add_zero
0.000015    13569 ordered_comm_semiring.nsmul
0.000017    13570 ordered_comm_semiring.nsmul_zero'
0.000018    13571 ordered_comm_semiring.nsmul_succ'
0.000016    13572 ordered_comm_semiring.add_comm
0.000014    13573 ordered_comm_semiring.mul
0.000018    13574 ordered_comm_semiring.mul_assoc
0.000016    13575 ordered_comm_semiring.one
0.000017    13576 ordered_comm_semiring.one_mul
0.000018    13577 ordered_comm_semiring.mul_one
0.000018    13578 ordered_comm_semiring.npow
0.000018    13579 ordered_comm_semiring.npow_zero'
0.000018    13580 ordered_comm_semiring.npow_succ'
0.000018    13581 ordered_comm_semiring.zero_mul
0.000018    13582 ordered_comm_semiring.mul_zero
0.000018    13583 ordered_comm_semiring.left_distrib
0.000018    13584 ordered_comm_semiring.right_distrib
0.000018    13585 ordered_comm_semiring.add_left_cancel
0.000018    13586 ordered_comm_semiring.le
0.000018    13587 ordered_comm_semiring.lt
0.000018    13588 ordered_comm_semiring.le_refl
0.000018    13589 ordered_comm_semiring.le_trans
0.000018    13590 ordered_comm_semiring.lt_iff_le_not_le
0.000018    13591 ordered_comm_semiring.le_antisymm
0.000018    13592 ordered_comm_semiring.add_le_add_left
0.000017    13593 ordered_comm_semiring.le_of_add_le_add_left
0.000018    13594 ordered_comm_semiring.zero_le_one
0.000018    13595 ordered_comm_semiring.mul_lt_mul_of_pos_left
0.000018    13596 ordered_comm_semiring.mul_lt_mul_of_pos_right
0.000018    13597 ordered_comm_semiring.to_ordered_semiring
0.000018    13598 ordered_comm_semiring.mul_comm
0.000018    13599 ordered_comm_semiring.to_comm_semiring
0.000018    13600 multiset.prod_eq_foldr
0.000018    13601 multiset.foldr_zero
0.000018    13602 multiset.mem_cons_of_mem
0.000018    13603 multiset.foldr_induction'
0.000018    13604 multiset.foldr_induction
0.000018    13605 multiset.prod_induction
0.000018    13606 quotient.mk'
0.000018    13607 quotient.induction_on'
0.000018    13608 list.forall_mem_map_iff
0.000018    13609 multiset.forall_mem_map_iff
0.000018    13610 finset.prod_induction
0.000018    13611 finset.prod_nonneg
0.000018    13612 ordered_comm_ring
0.000017    13613 ordered_comm_ring.add
0.000018    13614 ordered_comm_ring.add_assoc
0.000018    13615 ordered_comm_ring.zero
0.000018    13616 ordered_comm_ring.zero_add
0.000018    13617 ordered_comm_ring.add_zero
0.000018    13618 ordered_comm_ring.nsmul
0.000018    13619 ordered_comm_ring.nsmul_zero'
0.000018    13620 ordered_comm_ring.nsmul_succ'
0.000018    13621 ordered_comm_ring.add_comm
0.000018    13622 ordered_comm_ring.mul
0.000018    13623 ordered_comm_ring.mul_assoc
0.000017    13624 ordered_comm_ring.one
0.000018    13625 ordered_comm_ring.one_mul
0.000018    13626 ordered_comm_ring.mul_one
0.000018    13627 ordered_comm_ring.npow
0.000018    13628 ordered_comm_ring.npow_zero'
0.000018    13629 ordered_comm_ring.npow_succ'
0.000018    13630 ordered_comm_ring.zero_mul
0.000018    13631 ordered_comm_ring.mul_zero
0.000018    13632 ordered_comm_ring.left_distrib
0.000018    13633 ordered_comm_ring.right_distrib
0.000018    13634 ordered_comm_ring.add_left_cancel
0.000018    13635 ordered_comm_ring.le
0.000018    13636 ordered_comm_ring.lt
0.000018    13637 ordered_comm_ring.le_refl
0.000017    13638 ordered_comm_ring.le_trans
0.000019    13639 ordered_comm_ring.lt_iff_le_not_le
0.000018    13640 ordered_comm_ring.le_antisymm
0.000018    13641 ordered_comm_ring.neg
0.000017    13642 ordered_comm_ring.sub
0.000018    13643 ordered_comm_ring.sub_eq_add_neg
0.000018    13644 ordered_comm_ring.add_left_neg
0.000018    13645 ordered_comm_ring.add_le_add_left
0.000018    13646 ordered_comm_ring.le_of_add_le_add_left
0.000018    13647 ordered_comm_ring.zero_le_one
0.000018    13648 ordered_comm_ring.mul_lt_mul_of_pos_left
0.000018    13649 ordered_comm_ring.mul_lt_mul_of_pos_right
0.000018    13650 ordered_comm_ring.mul_comm
2.335546    13651 ordered_comm_ring.to_ordered_comm_semiring
0.000080    13652 linear_ordered_comm_ring.to_ordered_comm_ring
0.000025    13653 finset.exists_mem_insert
0.000015    13654 finset.prod_eq_zero_iff
0.000015    13655 multilinear_map.map_coord_zero
0.000015    13656 continuous_multilinear_map.map_coord_zero
0.000015    13657 nnreal.distrib_lattice
0.000015    13658 nnreal.semilattice_sup_bot
0.000015    13659 nnnorm
0.000015    13660 pi.add_comm_group._proof_1
0.000015    13661 pi.add_comm_group._proof_2
0.000019    13662 pi.add_comm_group._proof_3
0.000018    13663 pi.add_comm_group._proof_4
0.000016    13664 pi.add_comm_group._proof_5
0.000016    13665 pi.has_neg
0.000017    13666 pi.has_sub
0.000016    13667 pi.add_comm_group._proof_6
0.000018    13668 pi.add_comm_group._proof_7
0.000018    13669 pi.add_comm_group._proof_8
0.000018    13670 pi.add_comm_group
0.000016    13671 ennreal.bot_eq_zero
0.000015    13672 pseudo_emetric_space_pi._proof_1
0.000015    13673 pseudo_emetric_space_pi._proof_2
0.000015    13674 pseudo_emetric_space_pi._proof_3
0.000017    13675 Pi.uniform_space._proof_1
0.000016    13676 Pi.uniform_space
0.000015    13677 Pi.uniformity
0.000015    13678 infi_pos
0.000017    13679 set.Inter_pos
0.000016    13680 finset.inf_empty
0.000018    13681 false_implies_iff
0.000018    13682 pi.inhabited
0.000016    13683 finset.inf_congr
0.000020    13684 filter.mem_infi_sets_finset
0.000016    13685 filter.infi_principal_finset
0.000019    13686 filter.infi_principal_fintype
0.000018    13687 finset.cons_induction_on
0.000018    13688 finset.fold_cons
0.000019    13689 finset.sup_cons
0.000018    13690 finset.sup_lt_iff
0.000018    13691 pseudo_emetric_space_pi._proof_4
0.000018    13692 pseudo_emetric_space_pi
0.000018    13693 edist_pi_def
0.000018    13694 ennreal.lt_top_iff_ne_top
0.000019    13695 edist_ne_top
0.000018    13696 edist_lt_top
0.000018    13697 pseudo_metric_space_pi._proof_1
0.000018    13698 finset.comp_sup_eq_sup_comp
0.000018    13699 monotone.map_sup
0.000018    13700 finset.comp_sup_eq_sup_comp_of_is_total
0.000018    13701 ennreal.coe_mono
0.000019    13702 ennreal.coe_finset_sup
0.000018    13703 pseudo_metric_space_pi._proof_2
0.000018    13704 pseudo_metric_space_pi
0.000018    13705 nndist_eq_nnnorm
0.000019    13706 pi.semi_normed_group._proof_1
0.000017    13707 pi.semi_normed_group
0.000019    13708 metric_space_pi._proof_1
0.000018    13709 metric_space_pi._proof_2
0.000018    13710 metric_space_pi._proof_3
0.000018    13711 metric_space_pi._proof_4
0.000018    13712 metric_space_pi._proof_5
0.000018    13713 edist_le_zero
0.000018    13714 metric_space_pi._proof_6
0.000019    13715 metric_space_pi
0.000018    13716 pi.normed_group._proof_1
0.000018    13717 pi.normed_group
0.000018    13718 finset.prod_eq_zero
0.000018    13719 rescale_to_shell
0.000018    13720 finset.piecewise
0.000019    13721 finset.piecewise.equations._eqn_1
0.000018    13722 finset.piecewise_univ
0.000018    13723 finset.piecewise_empty
0.000018    13724 finset.piecewise_coe
0.000018    13725 set.piecewise.equations._eqn_1
0.000018    13726 set.piecewise_insert
0.000018    13727 finset.coe_insert
0.000018    13728 finset.piecewise_insert
0.000019    13729 finset.piecewise_eq_of_not_mem
0.000018    13730 multilinear_map.map_piecewise_smul
0.000018    13731 multilinear_map.map_smul_univ
0.000018    13732 finset.prod_eq_multiset_prod
0.000018    13733 list.prod_hom
0.000018    13734 multiset.prod_hom
0.000019    13735 monoid_hom.map_multiset_prod
0.000018    13736 monoid_hom.map_prod
0.000018    13737 normed_field.norm_prod
0.000018    13738 finset.prod_congr
0.000018    13739 finset.prod_mul_distrib
0.000018    13740 finset.prod_pos
0.000018    13741 multilinear_map.bound_of_shell
0.000019    13742 pi.add_group._proof_1
0.000018    13743 pi.add_group._proof_2
0.000018    13744 pi.add_group._proof_3
0.000018    13745 pi.add_group._proof_4
0.000018    13746 pi.add_group._proof_5
0.000018    13747 pi.add_group._proof_6
0.000018    13748 pi.add_group._proof_7
0.000018    13749 pi.add_group
0.000019    13750 set.exists_mem_of_nonempty
0.000018    13751 multilinear_map.map_zero
0.000015    13752 dist_pi_def
0.000018    13753 dist_lt_coe
0.000018    13754 dist_pi_lt_iff
0.000018    13755 pi_norm_lt_iff
0.000018    13756 fintype.card.equations._eqn_1
0.000018    13757 finset.card_empty
0.000018    13758 finset.card_insert_of_not_mem
0.000018    13759 finset.prod_const
0.000019    13760 finset.prod_le_prod
0.000018    13761 add_pos_of_nonneg_of_pos
0.000018    13762 finset.coe_nonempty
0.000018    13763 set.nonempty_iff_univ_nonempty
0.000031    13764 finset.univ_nonempty_iff
0.000016    13765 finset.ne_empty_of_mem
0.000015    13766 finset.nonempty.ne_empty
0.000015    13767 finset.nonempty_iff_ne_empty
0.000014    13768 finset.univ_eq_empty
0.000015    13769 multilinear_map.exists_bound_of_continuous
0.000015    13770 continuous_multilinear_map.bound
0.000018    13771 continuous_multilinear_map.bounds_nonempty
0.000018    13772 continuous_multilinear_map.op_norm_nonneg
0.000019    13773 continuous_multilinear_map.bounds_bdd_below
0.000018    13774 continuous_multilinear_map.le_op_norm
1.151572    13775 continuous_multilinear_map.op_norm_le_bound
0.000075    13776 continuous_multilinear_map.op_norm_zero_iff
0.000024    13777 continuous_multilinear_map.op_norm_add_le
0.000016    13778 continuous_multilinear_map.norm_def
0.000015    13779 continuous_multilinear_map.neg_apply
0.000015    13780 continuous_multilinear_map.op_norm_neg
0.000015    13781 continuous_multilinear_map.to_normed_group._proof_2
0.000016    13782 continuous_multilinear_map.to_normed_group
0.000015    13783 continuous_multilinear_map.add_comm_monoid._proof_1
0.000014    13784 continuous_multilinear_map.add_comm_monoid._proof_2
0.000019    13785 continuous_multilinear_map.add_comm_monoid._proof_3
0.000073    13786 continuous_multilinear_map.add_comm_monoid
0.000018    13787 multilinear_map.has_scalar._proof_1
0.000015    13788 multilinear_map.has_scalar._proof_2
0.000015    13789 multilinear_map.has_scalar
0.000015    13790 continuous_multilinear_map.has_scalar._proof_1
0.000014    13791 continuous_multilinear_map.has_scalar._proof_2
0.000015    13792 continuous_multilinear_map.has_scalar._proof_3
0.000018    13793 continuous_multilinear_map.has_scalar
0.000019    13794 continuous_multilinear_map.semimodule._proof_1
0.000018    13795 continuous_multilinear_map.semimodule._proof_2
0.000016    13796 continuous_multilinear_map.semimodule._proof_3
0.000015    13797 continuous_multilinear_map.semimodule._proof_4
0.000015    13798 continuous_multilinear_map.semimodule._proof_5
0.000017    13799 continuous_multilinear_map.semimodule._proof_6
0.000016    13800 continuous_multilinear_map.semimodule
0.000017    13801 continuous_multilinear_map.to_normed_space._proof_1
0.000018    13802 continuous_multilinear_map.to_normed_space._proof_2
0.000019    13803 continuous_multilinear_map.op_norm_smul_le
0.000017    13804 continuous_multilinear_map.to_normed_space._proof_3
0.000019    13805 continuous_multilinear_map.to_normed_space
0.000018    13806 continuous_multilinear_map.curry_left._proof_1
0.000018    13807 continuous_multilinear_map.curry_left._proof_2
0.000018    13808 multilinear_map.mk_continuous._proof_1
0.000018    13809 multilinear_map.mk_continuous._proof_2
0.000019    13810 lt_inf_iff
0.000018    13811 lt_min_iff
0.000018    13812 continuous_at_of_locally_lipschitz
0.000018    13813 multilinear_map.map_neg
0.000018    13814 multilinear_map.map_sub
0.000018    13815 finset.piecewise_eq_of_mem
0.000018    13816 multilinear_map.norm_image_sub_le_of_bound'
0.000018    13817 dist_le_coe
0.000019    13818 subtype.eta
0.000018    13819 nndist_pi_def
0.000018    13820 dist_pi_le_iff
0.000018    13821 pi_norm_le_iff
0.000018    13822 norm_le_pi_norm
0.000018    13823 finset.piecewise_singleton
0.000018    13824 finset.update_eq_piecewise
0.000018    13825 is_symm
0.000018    13826 is_equiv
0.000018    13827 is_equiv.to_is_preorder
0.000018    13828 eq_is_equiv
0.000018    13829 finset.filter_not
0.000019    13830 finset.filter_union_filter_neg_eq
0.000018    13831 finset.disjoint_right
0.000018    13832 congr_arg2
0.000018    13833 finset.prod_attach
0.000016    13834 finset.prod_apply_dite
0.000016    13835 finset.prod_apply_ite
0.000017    13836 finset.prod_ite
0.000018    13837 finset.filter_mem_eq_inter
0.000018    13838 finset.sdiff_eq_filter
0.000018    13839 finset.prod_piecewise
0.000018    13840 finset.inter_comm
0.000019    13841 finset.insert_inter_of_mem
0.000018    13842 finset.empty_inter
0.000018    13843 finset.singleton_inter_of_mem
0.000018    13844 finset.inter_singleton_of_mem
0.000018    13845 multiset.card_singleton
0.000018    13846 finset.card_singleton
0.000018    13847 finset.prod_update_of_mem
0.000018    13848 finset.union_empty
0.000019    13849 finset.union_left_comm
0.000018    13850 finset.union_insert
0.000018    13851 finset.insert_eq_of_mem
0.000018    13852 finset.inter_insert_of_mem
0.000018    13853 finset.insert_inter_of_not_mem
0.000018    13854 finset.inter_insert_of_not_mem
0.000018    13855 finset.card_union_add_card_inter
0.000018    13856 finset.card_disjoint_union
0.000018    13857 finset.card_sdiff
0.000018    13858 finset.card_univ_diff
0.000019    13859 finset.sum_const
0.000018    13860 finset.card_univ
0.000018    13861 multilinear_map.norm_image_sub_le_of_bound
0.000018    13862 pow_le_pow_of_le_left
0.000018    13863 norm_le_of_mem_closed_ball
0.000018    13864 multilinear_map.continuous_of_bound
0.000018    13865 multilinear_map.mk_continuous._proof_3
0.000018    13866 multilinear_map.mk_continuous
0.000018    13867 multilinear_map.distrib_mul_action._proof_1
0.000019    13868 multilinear_map.distrib_mul_action._proof_2
0.000018    13869 multilinear_map.distrib_mul_action._proof_3
0.000018    13870 multilinear_map.distrib_mul_action._proof_4
0.000018    13871 multilinear_map.distrib_mul_action
0.000018    13872 multilinear_map.semimodule._proof_1
0.000018    13873 multilinear_map.semimodule._proof_2
0.000019    13874 multilinear_map.semimodule
0.000018    13875 multilinear_map.curry_left._proof_1
0.658943    13876 continuous_multilinear_map.curry_left._proof_3
0.000076    13877 multilinear_map.curry_left._proof_2
0.000024    13878 fin.cases_zero
0.000016    13879 fin.cons_zero
0.000015    13880 fin.ext_iff
0.000015    13881 fin.succ_ne_zero
0.000015    13882 nat.pred_lt_pred
0.000014    13883 fin.val_zero
0.000015    13884 fin.vne_of_ne
0.000015    13885 fin.pred._main
0.000017    13886 fin.pred
0.000018    13887 fin.succ_pred
0.000019    13888 rel_embedding.injective
0.000018    13889 fin.succ_embedding._match_1
0.000018    13890 fin.succ_embedding._match_2
0.000015    13891 fin.succ_embedding._proof_1
0.000015    13892 fin.succ_embedding
0.000015    13893 fin.succ_injective
0.000018    13894 fin.succ_inj
0.000015    13895 fin.cons_update
0.000018    13896 multilinear_map.curry_left._proof_3
0.000018    13897 multilinear_map.curry_left._proof_4
0.000016    13898 fin.update_cons_zero
0.000019    13899 multilinear_map.cons_add
0.000016    13900 multilinear_map.curry_left._proof_5
0.000019    13901 multilinear_map.cons_smul
0.000018    13902 multilinear_map.curry_left._proof_6
0.000018    13903 multilinear_map.curry_left
0.000018    13904 strict_mono.ite'
0.000018    13905 strict_mono.ite
0.000018    13906 rel_embedding.coe_fn_to_embedding
0.000018    13907 order_embedding.lt_embedding._proof_1
0.000018    13908 order_embedding.lt_embedding
0.000018    13909 order_embedding.lt_iff_lt
0.000018    13910 order_embedding.strict_mono
0.000018    13911 fin.lt_iff_coe_lt_coe
0.000018    13912 fin.coe_cast_succ
0.000018    13913 fin.succ._main.equations._eqn_1
0.000018    13914 fin.succ.equations._eqn_1
0.000018    13915 fin.coe_mk
0.000018    13916 fin.coe_succ
0.000018    13917 fin.cast_succ_lt_succ
0.000017    13918 fin.succ_above_aux
0.000019    13919 fin.succ_above
0.000017    13920 fin.bounded_lattice._proof_1
0.000019    13921 fin.bounded_lattice._proof_2
0.000017    13922 fin.bounded_lattice._proof_3
0.000019    13923 fin.bounded_lattice._proof_4
0.000017    13924 fin.bounded_lattice._proof_5
0.000018    13925 fin.bounded_lattice._proof_6
0.000018    13926 fin.bounded_lattice._proof_7
0.000018    13927 fin.bounded_lattice._proof_8
0.000016    13928 fin.bounded_lattice._proof_9
0.000016    13929 fin.bounded_lattice._proof_10
0.000017    13930 fin.last
0.000018    13931 fin.le_last
0.000018    13932 fin.zero_le
0.000018    13933 fin.bounded_lattice
0.000018    13934 fin.pred_above._proof_1
0.000018    13935 fin.pred_above._proof_2
0.000018    13936 fin.pred_above
0.000017    13937 fin.cast_pred
0.000018    13938 fin.pred_above.equations._eqn_1
0.000018    13939 fin.succ_above.equations._eqn_1
0.000018    13940 order_embedding.coe_of_strict_mono
0.000018    13941 fin.succ_above_above
0.000018    13942 fin.le_iff_coe_le_coe
0.000018    13943 add_left_cancel_monoid.zero
0.000018    13944 add_left_cancel_monoid.zero_add
0.000018    13945 add_left_cancel_monoid.add_zero
0.000018    13946 add_left_cancel_monoid.nsmul
0.000018    13947 add_left_cancel_monoid.nsmul_zero'
0.000018    13948 add_left_cancel_monoid.nsmul_succ'
0.000018    13949 add_left_cancel_monoid.to_add_monoid
0.000019    13950 fin.cast_succ_lt_last
0.000017    13951 fin.cast_pred.equations._eqn_1
0.000023    13952 fin.coe_pred
0.000026    13953 fin.coe_last
0.000019    13954 nat.succ_sub_one
0.000018    13955 nat.add_succ_sub_one
0.000018    13956 fin.cast_pred_last
0.000018    13957 add_right_eq_self
0.000018    13958 self_eq_add_right
0.000018    13959 nat.one_ne_zero
0.000018    13960 fin.cast_succ_cast_lt
0.000018    13961 fin.cast_succ_cast_pred
0.000018    13962 fin.cast_succ_lt_cast_succ_iff
0.000018    13963 fin.cast_lt_cast_succ
0.000018    13964 fin.cast_pred_cast_succ
0.000018    13965 fin.lt_last_iff_coe_cast_pred
0.000018    13966 nat.le_pred_of_lt
0.000019    13967 fin.succ_above_below
0.000018    13968 function.embedding.cases_on
0.000018    13969 rel_embedding.coe_fn_inj
0.000018    13970 rel_embedding.ext
0.000018    13971 fin.succ_above_last
0.000018    13972 fin.eq_last_of_not_lt
0.000018    13973 fin.univ_cast_succ
0.000018    13974 fin.univ_succ_above
0.000018    13975 fin.succ_above_ne
0.000018    13976 fin.succ_above_right_injective
0.000018    13977 fin.succ_above_right_inj
0.000018    13978 fin.prod_univ_succ_above
0.000018    13979 fin.prod_univ_succ
0.000018    13980 continuous_multilinear_map.norm_map_cons_le
0.000018    13981 continuous_multilinear_map.curry_left._proof_4
0.000018    13982 continuous_multilinear_map.cons_add
0.000018    13983 continuous_multilinear_map.curry_left._proof_5
0.000018    13984 continuous_multilinear_map.cons_smul
0.000018    13985 continuous_multilinear_map.curry_left._proof_6
0.000018    13986 multilinear_map.mk_continuous_norm_le
0.000018    13987 continuous_multilinear_map.curry_left._proof_7
0.000018    13988 continuous_multilinear_map.curry_left
0.000019    13989 has_ftaylor_series_up_to_on
0.000018    13990 times_cont_diff_within_at
0.000018    13991 times_cont_diff_at
0.000018    13992 linear_isometry_equiv
0.000018    13993 continuous_linear_map.op_norm_zero
0.000018    13994 continuous_linear_map.to_semi_normed_group._proof_1
2.859520    13995 continuous_linear_map.to_semi_normed_group
0.000082    13996 continuous_multilinear_curry_fin1._proof_1
0.000024    13997 continuous_multilinear_curry_fin1._proof_2
0.000016    13998 linear_isometry_equiv.to_linear_equiv
0.000015    13999 linear_isometry_equiv.has_coe_to_fun
0.000015    14000 linear_equiv.trans._proof_1
0.000015    14001 linear_equiv.trans._proof_2
0.000015    14002 linear_equiv.trans._proof_3
0.000014    14003 linear_equiv.trans._proof_4
0.000015    14004 linear_equiv.trans
0.000019    14005 linear_isometry_equiv.norm_map'
0.000018    14006 linear_isometry_equiv.norm_map
0.000018    14007 linear_isometry_equiv.trans._proof_1
0.000019    14008 linear_isometry_equiv.trans
0.000016    14009 continuous_multilinear_curry_right_equiv._proof_1
0.000015    14010 continuous_multilinear_curry_right_equiv._proof_3
0.000015    14011 continuous_multilinear_curry_right_equiv._proof_2
0.000017    14012 continuous_multilinear_curry_fin1._proof_3
0.000018    14013 continuous_multilinear_curry_fin1._proof_4
0.000018    14014 linear_equiv.apply_symm_apply
0.000016    14015 linear_isometry_equiv.symm._proof_1
0.000015    14016 linear_isometry_equiv.symm
0.000015    14017 linear_equiv.symm_apply_apply
0.000015    14018 linear_isometry_equiv.of_bounds._proof_1
0.000019    14019 linear_isometry_equiv.of_bounds
0.000018    14020 continuous_multilinear_curry_right_equiv._proof_4
0.000018    14021 continuous_multilinear_curry_right_equiv._proof_5
0.000018    14022 continuous_multilinear_curry_right_equiv._proof_6
0.000018    14023 continuous_multilinear_map.uncurry_right._proof_1
0.000018    14024 continuous_multilinear_map.uncurry_right._proof_2
0.000018    14025 linear_map.add_comm_group._proof_1
0.000019    14026 linear_map.add_comm_group._proof_2
0.000018    14027 linear_map.add_comm_group._proof_3
0.000018    14028 linear_map.add_comm_group._proof_4
0.000018    14029 linear_map.add_comm_group._proof_5
0.000018    14030 linear_map.sub_apply
0.000019    14031 linear_map.neg_apply
0.000018    14032 linear_map.add_comm_group._proof_6
0.000018    14033 linear_map.add_comm_group._proof_7
0.000018    14034 linear_map.add_comm_group._proof_8
0.000018    14035 linear_map.add_comm_group
0.000018    14036 continuous_multilinear_map.uncurry_right._proof_3
0.000018    14037 continuous_multilinear_map.map_add
0.000018    14038 continuous_multilinear_map.uncurry_right._proof_4
0.000018    14039 continuous_multilinear_map.map_smul
0.000019    14040 continuous_multilinear_map.uncurry_right._proof_5
0.000018    14041 multilinear_map.uncurry_right._proof_1
0.000018    14042 multilinear_map.uncurry_right._proof_2
0.000018    14043 fin.init
0.000018    14044 fin.init.equations._eqn_1
0.000018    14045 order_embedding.eq_iff_eq
0.000018    14046 fin.init_update_cast_succ
0.000018    14047 fin.init_update_last
0.000018    14048 multilinear_map.uncurry_right._proof_3
0.000019    14049 multilinear_map.uncurry_right._proof_4
0.000018    14050 multilinear_map.uncurry_right
0.000018    14051 fin.prod_univ_cast_succ
0.000018    14052 continuous_multilinear_map.norm_map_init_le
0.000018    14053 continuous_multilinear_map.uncurry_right._proof_6
0.000018    14054 continuous_multilinear_map.uncurry_right
0.000019    14055 continuous_multilinear_curry_right_equiv._proof_7
0.000018    14056 continuous_multilinear_curry_right_equiv._proof_8
0.000018    14057 continuous_multilinear_map.curry_right._proof_1
0.000018    14058 continuous_multilinear_map.curry_right._proof_2
0.000018    14059 multilinear_map.curry_right._proof_1
0.000018    14060 continuous_multilinear_map.curry_right._proof_3
0.000018    14061 multilinear_map.curry_right._proof_2
0.000018    14062 fin.snoc._proof_1
0.000018    14063 fin.snoc._proof_2
0.000018    14064 fin.snoc
0.000019    14065 fin.snoc.equations._eqn_1
0.000018    14066 function.bijective.injective
0.000018    14067 eq_rec_on_bijective
0.000018    14068 cast_bijective
0.000018    14069 cast_inj
0.000018    14070 fin.snoc_last
0.000018    14071 fin.update_snoc_last
0.000018    14072 multilinear_map.snoc_add
0.000018    14073 multilinear_map.curry_right._proof_3
0.000018    14074 multilinear_map.snoc_smul
0.000018    14075 multilinear_map.curry_right._proof_4
0.000019    14076 heq_of_cast_eq
0.000017    14077 eq_rec_compose
0.000019    14078 fin.snoc_update
0.000018    14079 multilinear_map.curry_right._proof_5
0.000018    14080 multilinear_map.curry_right._proof_6
0.000018    14081 multilinear_map.curry_right
0.000018    14082 fin.snoc_cast_succ
0.000018    14083 continuous_multilinear_map.norm_map_snoc_le
0.000018    14084 continuous_multilinear_map.curry_right._proof_4
0.000018    14085 continuous_multilinear_map.curry_right._proof_5
0.000018    14086 continuous_multilinear_map.curry_right._proof_6
0.000018    14087 linear_map.mk_continuous_norm_le
0.000019    14088 continuous_multilinear_map.curry_right._proof_7
2.132184    14089 continuous_multilinear_map.curry_right
0.000076    14090 continuous_multilinear_map.curry_right_apply
0.000024    14091 continuous_multilinear_map.uncurry_right_apply
0.000015    14092 fin.init_snoc
0.000015    14093 continuous_multilinear_map.curry_uncurry_right
0.000015    14094 proof_irrel_heq
0.000015    14095 fin.snoc_init_self
0.000015    14096 continuous_multilinear_map.uncurry_curry_right
0.000014    14097 continuous_multilinear_curry_right_equiv._proof_9
0.000015    14098 continuous_multilinear_curry_right_equiv._proof_10
0.000014    14099 continuous_multilinear_curry_right_equiv._proof_11
0.000018    14100 continuous_multilinear_curry_right_equiv
0.000018    14101 continuous_multilinear_curry_fin0._proof_1
0.000019    14102 continuous_multilinear_curry_fin0._proof_2
0.000016    14103 continuous_multilinear_curry_fin0._proof_3
0.000015    14104 continuous_multilinear_curry_fin0._proof_4
0.000017    14105 continuous_multilinear_map.curry0._proof_1
0.000018    14106 continuous_multilinear_map.curry0._proof_2
0.000017    14107 continuous_multilinear_map.curry0._proof_3
0.000017    14108 continuous_multilinear_map.curry0
0.000018    14109 continuous_multilinear_map.uncurry0_apply
0.000016    14110 pi.unique_of_empty._proof_1
0.000015    14111 pi.unique_of_empty
0.000017    14112 fin.tuple0_unique._proof_1
0.000015    14113 fin.tuple0_unique
0.000015    14114 continuous_multilinear_map.curry0_apply
0.000018    14115 continuous_multilinear_map.apply_zero_curry0
0.000016    14116 continuous_multilinear_map.uncurry0_curry0
0.000019    14117 continuous_multilinear_map.curry0_uncurry0
0.000018    14118 fin.prod_univ_zero
0.000018    14119 continuous_multilinear_map.fin0_apply_norm
0.000018    14120 continuous_multilinear_map.uncurry0_norm
0.000018    14121 continuous_multilinear_curry_fin0
0.000019    14122 continuous_multilinear_curry_fin1
0.000018    14123 dense
0.000018    14124 set_like.mem_coe
0.000018    14125 submodule.zero_mem'
0.000018    14126 submodule.zero_mem
0.000018    14127 submodule.has_bot._proof_1
0.000018    14128 submodule.has_bot._proof_2
0.000018    14129 submodule.has_bot._proof_3
0.000019    14130 submodule.has_bot
0.000018    14131 submodule.inhabited'
0.000018    14132 submodule.has_Inf._proof_1
0.000018    14133 submodule.add_mem'
0.000018    14134 submodule.add_mem
0.000018    14135 submodule.has_Inf._proof_2
0.000018    14136 submodule.smul_mem'
0.000018    14137 submodule.smul_mem
0.000018    14138 submodule.has_Inf._proof_3
0.000018    14139 submodule.has_Inf
0.000018    14140 submodule.span
0.000018    14141 tangent_cone_at
0.000018    14142 unique_diff_within_at
0.000018    14143 set.diagonal
0.000018    14144 is_closed_of_closure_subset
0.000018    14145 closure_subset_iff_is_closed
0.000018    14146 is_closed_iff_cluster_pt
0.000018    14147 filter.ne_bot.ne
0.000018    14148 is_closed_diagonal
0.000018    14149 is_closed_eq
0.000018    14150 set.eq_on.closure
0.000019    14151 submodule.mem_span
0.000017    14152 submodule.subset_span
0.000019    14153 submodule.span_le
0.000017    14154 submodule.span_induction
0.000019    14155 linear_map.eq_on_span
0.000018    14156 linear_map.eq_on_span'
0.000018    14157 continuous_linear_map.eq_on_closure_span
0.000018    14158 continuous_linear_map.ext_on
0.000018    14159 separation_rel
0.000018    14160 separated_space
0.000018    14161 t2_iff_is_closed_diagonal
0.000018    14162 separated_space.out
0.000018    14163 separation_rel.equations._eqn_1
0.000018    14164 filter.has_basis.sInter_sets
0.000018    14165 filter.has_basis.separation_rel
0.000018    14166 filter.has_basis.dcases_on
0.000018    14167 filter.has_basis_iff
0.000018    14168 filter.has_basis_self
0.000019    14169 symmetric_rel
0.000018    14170 symmetrize_rel
0.000018    14171 symmetrize_mem_uniformity
0.000018    14172 symmetrize_rel.equations._eqn_1
0.000018    14173 symmetric_rel.equations._eqn_1
0.000018    14174 set.preimage_comp
0.000018    14175 symmetric_symmetrize_rel
0.000018    14176 comp_rel_mono
0.000018    14177 set.sep_subset
0.000018    14178 symmetrize_rel_subset_self
0.000018    14179 comp_symm_mem_uniformity_sets
0.000018    14180 subset_comp_self
0.000018    14181 subset_comp_self_of_mem_uniformity
0.000018    14182 comp_comp_symm_mem_uniformity_sets
0.000019    14183 filter.has_basis.cluster_pt_iff
0.000018    14184 sort.inhabited
0.000016    14185 sort.inhabited'
0.000017    14186 filter.has_basis_principal
0.000018    14187 mem_closure_iff_nhds_basis'
0.000018    14188 mem_closure_iff_nhds_basis
0.000018    14189 filter.has_basis.prod'
0.000018    14190 ball_mono
0.000018    14191 uniform_space.mem_nhds_iff_symm
0.000018    14192 uniform_space.has_basis_nhds
0.000018    14193 symmetric_rel_inter
0.000018    14194 uniform_space.has_basis_nhds_prod
0.000018    14195 mem_ball_symmetry
0.000018    14196 mem_comp_comp
0.000018    14197 closure_eq_uniformity
0.000018    14198 uniformity_has_basis_closed
0.000018    14199 uniformity_has_basis_closure
0.000018    14200 separation_rel_eq_inter_closure
0.000018    14201 is_closed_separation_rel
0.000019    14202 separated_space_iff
2.208663    14203 separated_equiv
0.000076    14204 separated_def
0.000025    14205 separated_def'
0.000015    14206 filter.inf_eq_bot_iff
0.000015    14207 disjoint.mono
0.000022    14208 filter.not_ne_bot
0.000019    14209 t2_iff_nhds
0.000015    14210 separated_iff_t2
0.000014    14211 set.compl_inter_self
0.000019    14212 separated_regular._match_1
0.000019    14213 closure_eq_cluster_pts
0.000016    14214 cluster_pt.equations._eqn_1
0.000015    14215 set.prod_mk_mem_set_prod_eq
0.000020    14216 filter.prod_eq_bot
0.000023    14217 filter.prod_ne_bot
0.000016    14218 filter.prod_inf_prod
0.000015    14219 closure_prod_eq
0.000018    14220 mem_closure_iff_nhds_ne_bot
0.000018    14221 filter.lift_lift_same_le_lift
0.000016    14222 filter.lift_lift_same_eq_lift
0.000018    14223 filter.lift_lift'_same_eq_lift'
0.000019    14224 nhds_eq_uniformity_prod
0.000018    14225 filter.map_lift'_eq2
0.000018    14226 filter.inhabited_mem
0.000018    14227 filter.lift'_inf_principal_eq
0.000018    14228 filter.infi_ne_bot_of_directed'
0.000018    14229 filter.infi_ne_bot_iff_of_directed'
0.000018    14230 subtype.forall'
0.000018    14231 filter.lift_ne_bot_iff
0.000018    14232 filter.principal_eq_bot_iff
0.000018    14233 filter.principal_ne_bot_iff
0.000018    14234 filter.lift'_ne_bot_iff
0.000018    14235 set.monotone_inter
0.000018    14236 closure_eq_inter_uniformity
0.000018    14237 separated_regular._match_2
0.000018    14238 separated_regular
0.000018    14239 eq_of_le_of_forall_le_of_dense
0.000018    14240 eq_of_forall_dist_le
0.000018    14241 metric.metric_space.to_separated
0.000018    14242 asymptotics.is_o_norm_norm
0.000018    14243 asymptotics.is_o.of_norm_norm
0.000017    14244 asymptotics.is_o.norm_norm
0.000019    14245 asymptotics.is_O.smul_is_o
0.000017    14246 tendsto_zero_iff_norm_tendsto_zero
0.000018    14247 filter.tendsto.congr'
0.000018    14248 add_le_iff_nonpos_left
0.000018    14249 eventually_ne_of_tendsto_norm_at_top
0.000025    14250 continuous.dist
0.000022    14251 continuous_norm
0.000018    14252 tangent_cone_at.lim_zero
0.000019    14253 ge_mem_nhds
0.000018    14254 asymptotics.is_O_const_of_tendsto
0.000018    14255 asymptotics.is_O_one_of_tendsto
0.000018    14256 has_fderiv_within_at.lim
0.000018    14257 has_fderiv_within_at.unique_on
0.000018    14258 unique_diff_within_at.eq
0.000018    14259 unique_diff_within_at.equations._eqn_1
0.000018    14260 normed_field.norm_pow
0.000018    14261 tangent_cone_univ
0.000028    14262 submodule.has_top._proof_1
0.000016    14263 submodule.has_top._proof_2
0.000018    14264 submodule.has_top._proof_3
0.000018    14265 submodule.has_top
0.000019    14266 submodule.order_top._proof_1
0.000018    14267 submodule.order_top._proof_2
0.000025    14268 submodule.order_top._proof_3
0.000030    14269 submodule.order_top._proof_4
0.000026    14270 submodule.order_top._proof_5
0.000020    14271 submodule.order_top
0.000015    14272 eq_top_iff
0.000015    14273 set_like.le_def
0.000015    14274 submodule.span_univ
0.000017    14275 submodule.top_coe
0.000018    14276 dense_univ
0.000019    14277 is_closed_univ
0.000018    14278 closure_univ
0.000018    14279 unique_diff_within_at_univ
0.000018    14280 has_fderiv_within_at.equations._eqn_1
0.000018    14281 has_fderiv_within_at_univ
0.000015    14282 has_fderiv_at.unique
0.000015    14283 metric.eventually_nhds_iff_ball
0.000018    14284 metric.is_open_iff
0.000018    14285 add_lt_add_of_lt_of_le
0.000018    14286 metric.ball_subset
0.000018    14287 metric.exists_ball_subset_ball
0.000017    14288 metric.is_open_ball
0.000018    14289 metric.mem_ball_self
0.000018    14290 metric.ball_mem_nhds
0.000018    14291 restrict_scalars.normed_group
0.000017    14292 normed_space.restrict_scalars._proof_1
0.000018    14293 normed_space.restrict_scalars._proof_2
0.000018    14294 normed_space.restrict_scalars._proof_3
0.000018    14295 normed_space.restrict_scalars
0.000018    14296 restrict_scalars.normed_space
0.000017    14297 is_R_or_C.to_normed_algebra
0.000018    14298 vector_space
0.000018    14299 convex
0.000018    14300 has_deriv_within_at
0.000018    14301 mem_closure_of_tendsto
0.000018    14302 continuous_within_at.mem_closure_image
0.000017    14303 continuous_within_at.mem_closure
0.000018    14304 continuous_within_at.prod
0.000018    14305 continuous_within_at.closure_le
0.000018    14306 closure_Ioi
0.000018    14307 continuous_within_at.mono
0.000018    14308 continuous_within_at_univ
0.000017    14309 continuous_at.continuous_within_at
0.000026    14310 continuous.continuous_within_at
0.000021    14311 continuous_within_at_const
0.000019    14312 continuous_within_at.add
0.000018    14313 continuous_within_at.mul
0.000018    14314 continuous_within_at_id
0.000018    14315 is_closed_induced_iff
0.000018    14316 set.restrict_eq
0.000018    14317 set.preimage_image_eq
0.000018    14318 function.injective.image_injective
0.000018    14319 subtype.preimage_coe_eq_preimage_coe_iff
0.000018    14320 continuous_on_iff_is_closed
0.000018    14321 continuous_on.preimage_closed_of_closed
0.000018    14322 continuous_on.prod
0.000018    14323 nhds_within_Ioi_ne_bot
1.630103    14324 nhds_within_Ioi_self_ne_bot
0.000075    14325 and.imp_left
0.000024    14326 set.Ioo_subset_Ico_self
0.000016    14327 set.Ioo_subset_Icc_self
0.000015    14328 Icc_mem_nhds_within_Ioi
0.000014    14329 sup_sdiff_right
0.000015    14330 sdiff_inf
0.000015    14331 sdiff_inf_self_right
0.000015    14332 sdiff_eq_sdiff_iff_inf_eq_inf
0.000015    14333 sdiff_eq_self_iff_disjoint
0.000017    14334 set.diff_eq_self
0.000019    14335 set.singleton_inter_nonempty
0.000018    14336 set.singleton_inter_eq_empty
0.000016    14337 set.diff_singleton_eq_self
0.000015    14338 has_deriv_within_at.equations._eqn_1
0.000015    14339 asymptotics.is_O_of_le
0.000017    14340 normed_field.norm_div
0.000018    14341 div_self
0.000018    14342 asymptotics.is_o.tendsto_0
0.000016    14343 div_mul_cancel_of_imp
0.000015    14344 asymptotics.is_o_iff_tendsto'
0.000015    14345 asymptotics.is_o_iff_tendsto
0.000017    14346 has_fderiv_at_filter_iff_tendsto
0.000018    14347 has_deriv_at_filter_iff_tendsto
0.000018    14348 homeomorph
0.000016    14349 homeomorph.to_equiv
0.000015    14350 homeomorph.has_coe_to_fun
0.000015    14351 add_units
0.000017    14352 add_units.val
0.000016    14353 add_units.has_coe
0.000017    14354 add_units.neg
0.000018    14355 add_units.val_neg
0.000018    14356 add_units.add_group._proof_1
0.000018    14357 add_units.neg_val
0.000018    14358 add_units.add_group._proof_2
0.000018    14359 add_units.cases_on
0.000018    14360 add_units.ext
0.000018    14361 add_units.add_group._proof_3
0.000018    14362 add_units.add_group._proof_4
0.000018    14363 add_units.add_group._proof_5
0.000018    14364 add_units.add_group._proof_6
0.000018    14365 add_units.add_group._proof_7
0.000027    14366 add_units.add_group._proof_8
0.000017    14367 add_units.add_group._proof_9
0.000015    14368 add_units.add_group._proof_10
0.000018    14369 add_units.add_group._proof_11
0.000019    14370 add_units.add_group._proof_12
0.000018    14371 add_units.add_group._proof_13
0.000018    14372 add_units.add_group._proof_14
0.000018    14373 add_units.add_group._proof_15
0.000018    14374 add_units.add_group._proof_16
0.000018    14375 add_units.add_group._proof_17
0.000018    14376 add_units.add_group._proof_18
0.000016    14377 add_units.add_group
0.000015    14378 add_units.add_neg
0.000017    14379 add_units.add_neg_cancel_right
0.000018    14380 add_units.add_right._proof_1
0.000018    14381 add_units.neg_add
0.000017    14382 add_units.neg_add_cancel_right
0.000018    14383 add_units.add_right._proof_2
0.000018    14384 add_units.add_right
0.000018    14385 to_add_units._proof_1
0.000018    14386 to_add_units._proof_2
0.000018    14387 to_add_units._proof_3
0.000018    14388 to_add_units
0.000018    14389 equiv.add_right
0.000018    14390 homeomorph.add_right._proof_1
0.000018    14391 homeomorph.add_right._proof_2
0.000018    14392 homeomorph.add_right._proof_3
0.000017    14393 homeomorph.add_right._proof_4
0.000019    14394 homeomorph.add_right
0.000018    14395 homeomorph.continuous_inv_fun
0.000018    14396 homeomorph.continuous_to_fun
0.000018    14397 homeomorph.symm
0.000018    14398 induced_iff_nhds_eq
0.000018    14399 inducing.nhds_eq_comap
0.000018    14400 inducing_of_inducing_compose
0.000018    14401 homeomorph.continuous
0.000018    14402 homeomorph.symm_apply_apply
0.000018    14403 homeomorph.symm_comp_self
0.000018    14404 induced_id
0.000018    14405 inducing_id
0.000018    14406 homeomorph.inducing
0.000018    14407 homeomorph.injective
0.000018    14408 homeomorph.embedding
0.000018    14409 homeomorph.nhds_eq_comap
0.000018    14410 homeomorph.apply_symm_apply
0.000018    14411 homeomorph.comap_nhds_eq
0.000018    14412 nhds_translation_add_neg
0.000018    14413 nhds_translation
0.000018    14414 filter.tendsto_iff_comap
0.000018    14415 tendsto_inf_principal_nhds_iff_of_forall_eq
0.000018    14416 no_zero_smul_divisors
0.000018    14417 no_zero_smul_divisors.eq_zero_or_eq_zero_of_smul_eq_zero
0.000018    14418 smul_eq_zero
0.000018    14419 units.smul_eq_zero
0.000018    14420 no_zero_smul_divisors.of_division_ring
0.000018    14421 sub_ne_zero
0.000018    14422 has_deriv_at_filter_iff_tendsto_slope
0.000018    14423 has_deriv_within_at_iff_tendsto_slope
0.000018    14424 has_deriv_within_at_iff_tendsto_slope'
0.000018    14425 sdiff_sup
0.000018    14426 sdiff_sdiff_left
0.000018    14427 sdiff_idem
0.000018    14428 has_deriv_within_at_diff_singleton
0.000018    14429 has_deriv_within_at_Ioi_iff_Ici
0.000018    14430 has_deriv_within_at.Ioi_of_Ici
0.000018    14431 Ioi_mem_nhds
0.000018    14432 image_le_of_liminf_slope_right_lt_deriv_boundary'
0.000018    14433 continuous_within_at.tendsto
0.000019    14434 set.maps_to
0.000017    14435 continuous_within_at.tendsto_nhds_within
0.000019    14436 continuous_within_at.comp
0.000017    14437 continuous_on.comp
0.000018    14438 set.subset_preimage_univ
0.000018    14439 continuous.comp_continuous_on
0.000019    14440 continuous_on.add
0.000018    14441 continuous_on.mul
0.000018    14442 continuous_within_at.sub
0.000017    14443 continuous_on.sub
0.000019    14444 has_fderiv_at_filter.has_deriv_at_filter
3.717046    14445 has_fderiv_at_filter.add
0.000076    14446 has_deriv_at_filter.add
0.000024    14447 has_deriv_within_at.add
0.000016    14448 has_fderiv_within_at_iff_has_deriv_within_at
0.000015    14449 has_fderiv_within_at.has_deriv_within_at
0.000014    14450 set.maps_to'
0.000015    14451 set.maps_to_image
0.000015    14452 continuous_within_at.tendsto_nhds_within_image
0.000015    14453 has_fderiv_within_at.continuous_within_at
0.000015    14454 has_fderiv_within_at.comp
0.000018    14455 has_fderiv_at.comp_has_fderiv_within_at
0.000018    14456 is_bounded_bilinear_map.has_fderiv_at
0.000016    14457 has_fderiv_at_filter.prod
0.000015    14458 has_fderiv_within_at.prod
0.000017    14459 has_fderiv_within_at.smul
0.000016    14460 has_deriv_within_at.smul
0.000017    14461 has_deriv_within_at.mul
0.000018    14462 has_fderiv_at_filter_const
0.000016    14463 has_deriv_at_filter_const
0.000015    14464 has_deriv_within_at_const
0.000015    14465 has_deriv_within_at.const_mul
0.000017    14466 has_deriv_at_filter.add_const
0.000018    14467 has_deriv_at_filter.sub_const
0.000019    14468 has_deriv_within_at.sub_const
0.000015    14469 continuous_linear_map.coe_id'
0.000015    14470 sub_sub_sub_cancel_left
0.000015    14471 has_fderiv_at_filter_id
0.000018    14472 has_deriv_at_filter_id
0.000017    14473 has_deriv_within_at_id
0.000019    14474 image_le_of_liminf_slope_right_le_deriv_boundary
0.000018    14475 filter.frequently.mp
0.000018    14476 set.diff_union_self
0.000018    14477 has_deriv_within_at.limsup_norm_slope_le
0.000018    14478 abs_norm_sub_norm_le
0.000018    14479 norm_sub_norm_le
0.000018    14480 has_deriv_within_at.limsup_slope_norm_le
0.000018    14481 has_deriv_within_at.liminf_right_slope_norm_le
0.000019    14482 image_norm_le_of_norm_deriv_right_le_deriv_boundary'
0.000018    14483 has_deriv_at_filter.tendsto_nhds
0.000018    14484 has_deriv_at.continuous_at
0.000018    14485 has_fderiv_at.has_fderiv_at_filter
0.000018    14486 has_fderiv_at.has_fderiv_within_at
0.000018    14487 has_deriv_at.has_deriv_within_at
0.000019    14488 image_norm_le_of_norm_deriv_right_le_deriv_boundary
0.000018    14489 has_fderiv_at_filter.neg
0.000018    14490 has_deriv_at_filter.neg
0.000018    14491 has_deriv_at_filter.sub
0.000018    14492 has_deriv_within_at.sub
0.000018    14493 has_deriv_within_at_univ
0.000018    14494 has_deriv_at.mul
0.000018    14495 has_deriv_at_const
0.000018    14496 has_deriv_at.sub
0.000018    14497 has_deriv_at_id
0.000018    14498 norm_image_sub_le_of_norm_deriv_right_le_segment
0.000018    14499 has_deriv_within_at.continuous_within_at
0.000018    14500 has_fderiv_within_at_inter'
0.000018    14501 has_deriv_within_at_inter'
0.000018    14502 has_fderiv_within_at.mono
0.000018    14503 has_deriv_within_at.mono
0.000018    14504 has_deriv_within_at.nhds_within
0.000019    14505 norm_image_sub_le_of_norm_deriv_le_segment'
0.000018    14506 norm_image_sub_le_of_norm_deriv_le_segment_01'
0.000018    14507 has_deriv_within_at_iff_has_fderiv_within_at
0.000018    14508 has_fderiv_within_at.comp_has_deriv_within_at
0.000018    14509 segment
0.000018    14510 segment_eq_image
0.000019    14511 segment_eq_image'
0.000018    14512 convex.equations._eqn_1
0.000018    14513 segment.equations._eqn_1
0.000018    14514 segment_eq_image₂
0.000018    14515 convex_iff_segment_subset
0.000018    14516 convex.segment_subset
0.000018    14517 has_deriv_at_filter.const_add
0.000018    14518 has_deriv_at.const_add
0.000019    14519 has_deriv_within_at.smul_const
0.000018    14520 has_deriv_at.smul_const
0.000018    14521 continuous_linear_map.le_of_op_norm_le
0.000018    14522 convex.norm_image_sub_le_of_norm_has_fderiv_within_le
0.000018    14523 has_fderiv_at_filter.sub
0.000018    14524 has_fderiv_within_at.sub
0.000018    14525 continuous_linear_map.has_fderiv_within_at
0.000019    14526 convex.norm_image_sub_le_of_norm_has_fderiv_within_le'
0.000018    14527 set.sep_univ
0.000018    14528 ordered_semimodule
0.000018    14529 convex_on
0.000027    14530 ordered_semimodule.smul_lt_smul_of_pos
0.000017    14531 smul_lt_smul_of_pos
0.000015    14532 smul_le_smul_of_nonneg
0.000014    14533 convex_on.convex_lt
0.000019    14534 mul_lt_mul_left
0.000019    14535 linear_ordered_comm_ring.to_ordered_semimodule
0.000018    14536 convex_on_dist
0.000018    14537 convex_univ
0.000018    14538 convex_ball
0.000018    14539 prod.dist_eq
0.000018    14540 ball_prod_same
0.000018    14541 has_strict_fderiv_at_of_has_fderiv_at_of_continuous_at
0.000018    14542 filter.eventually.self_of_nhds
0.000018    14543 eventually_nhds_iff
0.000018    14544 filter.eventually.eventually_nhds
0.000018    14545 eventually_eventually_nhds
0.000018    14546 has_fderiv_within_at_inter
0.000018    14547 has_fderiv_within_at.has_fderiv_at
0.000018    14548 filter.eventually_eq.has_fderiv_at_filter_iff
0.000018    14549 has_fderiv_at_filter.congr_of_eventually_eq
0.000018    14550 has_fderiv_within_at.congr_mono
0.000018    14551 has_fderiv_within_at.congr
0.720462    14552 continuous_linear_equiv
0.000075    14553 continuous_linear_equiv.to_linear_equiv
0.000025    14554 continuous_linear_equiv.to_continuous_linear_map._proof_1
0.000016    14555 continuous_linear_equiv.to_continuous_linear_map._proof_2
0.000015    14556 continuous_linear_equiv.continuous_to_fun
0.000015    14557 continuous_linear_equiv.to_continuous_linear_map
0.000015    14558 continuous_linear_equiv.continuous_linear_map.has_coe
0.000015    14559 linear_equiv.linear_map.has_coe
0.000015    14560 linear_isometry_equiv.to_linear_isometry
0.000015    14561 linear_isometry_equiv.isometry
0.000015    14562 linear_isometry_equiv.continuous
0.000019    14563 isometric
0.000018    14564 isometric.to_equiv
0.000018    14565 isometric.has_coe_to_fun
0.000019    14566 isometry.right_inv
0.000016    14567 isometric.isometry_to_fun
0.000015    14568 isometric.isometry
0.000017    14569 isometric.symm._proof_1
0.000018    14570 isometric.symm
0.000018    14571 linear_isometry_equiv.to_isometric
0.000016    14572 isometric.continuous
0.000015    14573 linear_isometry_equiv.continuous_linear_equiv.has_coe_t._proof_1
0.000015    14574 linear_isometry_equiv.continuous_linear_equiv.has_coe_t
0.000017    14575 linear_isometry_equiv.continuous_linear_map.has_coe_t
0.000019    14576 continuous_linear_equiv.has_coe_to_fun
0.000018    14577 continuous_linear_equiv.symm._proof_1
0.000016    14578 continuous_linear_equiv.symm._proof_2
0.000015    14579 continuous_linear_equiv.symm._proof_3
0.000014    14580 continuous_linear_equiv.symm._proof_4
0.000018    14581 continuous_linear_equiv.continuous_inv_fun
0.000018    14582 continuous_linear_equiv.symm
0.000019    14583 continuous_linear_equiv.symm_apply_apply
0.000018    14584 continuous_linear_equiv.symm_comp_self
0.000018    14585 continuous_linear_map.comp_assoc
0.000018    14586 continuous_linear_equiv.coe_symm_comp_coe
0.000018    14587 continuous_linear_map.id_comp
0.000018    14588 continuous_linear_equiv.has_fderiv_at
0.000018    14589 continuous_linear_equiv.comp_has_fderiv_within_at_iff
0.000018    14590 continuous_linear_equiv.apply_symm_apply
0.000018    14591 continuous_linear_equiv.coe_comp_coe_symm
0.000018    14592 continuous_linear_equiv.comp_has_fderiv_within_at_iff'
0.000018    14593 linear_isometry_equiv.comp_has_fderiv_within_at_iff'
0.000018    14594 coe_fn.equations._eqn_1
0.000019    14595 has_ftaylor_series_up_to_on.fderiv_within
0.000018    14596 has_ftaylor_series_up_to_on.zero_eq
0.000018    14597 has_ftaylor_series_up_to_on.has_fderiv_within_at
0.000018    14598 has_ftaylor_series_up_to_on.has_fderiv_at
0.000018    14599 has_ftaylor_series_up_to_on.eventually_has_fderiv_at
0.000018    14600 linear_isometry_equiv.continuous_at
0.000018    14601 continuous_within_at_inter
0.000018    14602 continuous_within_at.continuous_at
0.000018    14603 continuous_on.continuous_at
0.000019    14604 has_ftaylor_series_up_to_on.cont
0.000018    14605 has_ftaylor_series_up_to_on.has_strict_fderiv_at
0.000018    14606 set.insert_eq_of_mem
0.000018    14607 times_cont_diff_at.has_strict_fderiv_at'
0.000018    14608 times_cont_diff_at.has_strict_deriv_at'
0.000018    14609 proper_space
0.000018    14610 metric.cauchy_iff
0.000018    14611 totally_bounded
0.000018    14612 is_complete
0.000018    14613 ultrafilter
0.000018    14614 ultrafilter.to_filter
0.000018    14615 ultrafilter.filter.has_coe_t
0.000019    14616 ultrafilter.ne_bot'
0.000018    14617 ultrafilter.has_mem
0.000018    14618 filter.empty_nmem_sets
0.000018    14619 ultrafilter.ne_bot
0.000018    14620 ultrafilter.empty_not_mem
0.000018    14621 Sup_insert
0.000018    14622 set.sUnion_insert
0.000018    14623 filter.eventually.and
0.000018    14624 ultrafilter.le_of_le
0.000018    14625 ultrafilter.unique
0.000018    14626 ultrafilter.le_of_inf_ne_bot
0.000018    14627 ultrafilter.compl_not_mem_iff
0.000018    14628 ultrafilter.compl_mem_iff_not_mem
0.000018    14629 ultrafilter.mem_or_compl_mem
0.000018    14630 ultrafilter.em
0.000018    14631 ultrafilter.eventually_or
0.000025    14632 ultrafilter.union_mem_iff
0.000025    14633 ultrafilter.finite_sUnion_mem_iff
0.000019    14634 set.fintype_image._proof_1
0.000018    14635 set.fintype_image
0.000019    14636 set.finite.image
0.000016    14637 set.bex_image_iff
0.000017    14638 ultrafilter.finite_bUnion_mem_iff
0.000019    14639 ultrafilter.cauchy_of_totally_bounded
0.000026    14640 zorn.chain
0.000021    14641 filter.infi_ne_bot_of_directed
0.000018    14642 filter.nonempty_of_ne_bot
0.000018    14643 directed_of_chain
0.000018    14644 refl_of
0.000018    14645 is_refl.swap
0.000019    14646 ge.is_refl
0.000018    14647 set.forall_insert_of_forall
0.000018    14648 zorn.chain_insert
0.000017    14649 zorn.super_chain
0.000019    14650 zorn.succ_chain
0.000018    14651 zorn.chain_closure
0.000018    14652 zorn.max_chain
0.000018    14653 zorn.is_max_chain
0.000018    14654 zorn.chain_closure.drec
0.000018    14655 zorn.succ_chain.equations._eqn_1
0.000018    14656 zorn.succ_spec
0.902510    14657 zorn.succ_increasing
0.000075    14658 decidable.or_iff_not_imp_right
0.000024    14659 or_iff_not_imp_right
0.000016    14660 _private.3844893253.chain_closure_succ_total_aux
0.000015    14661 set.sUnion_subset_iff
0.000015    14662 _private.1676659881.chain_closure_succ_total
0.000015    14663 zorn.chain_closure_succ_fixpoint
0.000014    14664 zorn.chain_closure_closure
0.000015    14665 zorn.chain_closure_succ_fixpoint_iff
0.000015    14666 zorn.is_max_chain.equations._eqn_1
0.000017    14667 decidable.not_forall_not
0.000019    14668 not_forall_not
0.000016    14669 zorn.super_of_not_max
0.000015    14670 zorn.chain_succ
0.000015    14671 zorn.chain_closure_total
0.000014    14672 zorn.chain_chain_closure
0.000018    14673 zorn.max_chain_spec
0.000018    14674 set.ssubset_def
0.000016    14675 set.ssubset_iff_insert
0.000015    14676 set.ssubset_insert
0.000014    14677 zorn.exists_maximal_of_chains_bounded
0.000018    14678 ultrafilter.exists_le
0.000018    14679 ultrafilter.of
0.000018    14680 ultrafilter.of_le
0.000018    14681 set.nonempty_diff
0.000018    14682 finset.set_bUnion_coe
0.000018    14683 filter.prod_same_eq
0.000018    14684 filter.mem_prod_same_iff
0.000018    14685 supr_supr_eq_left
0.000018    14686 finset.supr_singleton
0.000018    14687 finset.set_bUnion_singleton
0.000018    14688 totally_bounded_iff_filter
0.000018    14689 totally_bounded_iff_ultrafilter
0.000018    14690 filter.forall_ne_bot_le_iff
0.000018    14691 cluster_pt.mono
0.000018    14692 ultrafilter.le_of_inf_ne_bot'
0.000017    14693 cluster_pt.of_le_nhds
0.000019    14694 ultrafilter.cluster_pt_iff
0.000017    14695 compact_iff_ultrafilter_le_nhds
0.000018    14696 le_nhds_of_cauchy_adhp
0.000018    14697 compact_iff_totally_bounded_complete
0.000018    14698 proper_space.compact_ball
0.000018    14699 complete_of_proper
0.000019    14700 submodule.fg
0.000017    14701 is_noetherian
0.000018    14702 finite_dimensional
0.000018    14703 submodule.to_add_submonoid
0.000018    14704 submodule.comap._proof_1
0.000018    14705 submodule.comap._proof_2
0.000018    14706 submodule.comap._proof_3
0.000019    14707 submodule.comap
0.000017    14708 linear_map.ker
0.000018    14709 finsupp.lsum._proof_1
0.000018    14710 finsupp.sum_map_range_index
0.000018    14711 finsupp.sum_smul_index'
0.000018    14712 const_smul_hom
0.000018    14713 finset.smul_sum
0.000018    14714 finsupp.smul_sum
0.000018    14715 finsupp.lsum._proof_2
0.000018    14716 linear_map.to_add_monoid_hom_injective
0.000018    14717 finsupp.lhom_ext
0.000018    14718 linear_map.congr_fun
0.000018    14719 finsupp.lhom_ext'
0.000018    14720 finsupp.lsingle_apply
0.000018    14721 finsupp.lsum._proof_3
0.000018    14722 finsupp.lsum._proof_4
0.000018    14723 finsupp.lsum._proof_5
0.000017    14724 finsupp.lsum._proof_6
0.000018    14725 finsupp.lsum
0.000018    14726 finsupp.total._proof_1
0.000018    14727 finsupp.total
0.000018    14728 linear_independent
0.000018    14729 is_basis
0.000018    14730 linear_independent.restrict_of_comp_subtype
0.000018    14731 zorn.zorn_partial_order
0.000018    14732 zorn.zorn_subset
0.000018    14733 zorn.zorn_subset₀
0.000018    14734 set.sUnion_range
0.000018    14735 set.sUnion_eq_Union
0.000018    14736 finsupp.supported._proof_1
0.000018    14737 finset.coe_union
0.000016    14738 finsupp.supported._proof_2
0.000015    14739 finsupp.support_smul
0.000017    14740 finsupp.supported._proof_3
0.000018    14741 finsupp.supported
0.000018    14742 linear_independent.equations._eqn_1
0.000018    14743 submodule.complete_lattice._proof_1
0.000018    14744 submodule.complete_lattice._proof_2
0.000018    14745 submodule.complete_lattice._proof_3
0.000018    14746 submodule.complete_lattice._proof_4
0.000018    14747 _private.44982561.le_Inf'
0.000018    14748 submodule.complete_lattice._match_1
0.000018    14749 submodule.complete_lattice._proof_5
0.000018    14750 submodule.complete_lattice._match_2
0.000018    14751 submodule.complete_lattice._proof_6
0.000018    14752 _private.1824694467.Inf_le'
0.000018    14753 submodule.complete_lattice._proof_7
0.000018    14754 submodule.has_inf._proof_1
0.000018    14755 submodule.has_inf._proof_2
0.000018    14756 submodule.has_inf._proof_3
0.000019    14757 submodule.has_inf
0.000017    14758 submodule.complete_lattice._proof_8
0.000019    14759 submodule.complete_lattice._proof_9
0.000018    14760 submodule.complete_lattice._proof_10
0.000018    14761 submodule.complete_lattice._proof_11
0.000018    14762 submodule.order_bot._proof_1
0.000018    14763 submodule.order_bot._proof_3
0.000018    14764 submodule.order_bot._proof_4
0.000018    14765 submodule.mem_bot
0.000018    14766 submodule.order_bot._proof_5
0.000018    14767 submodule.order_bot
0.000018    14768 submodule.complete_lattice._proof_12
0.000018    14769 submodule.complete_lattice._proof_13
0.000018    14770 submodule.complete_lattice._proof_14
0.000018    14771 submodule.complete_lattice._proof_15
0.000018    14772 submodule.complete_lattice._proof_16
0.000018    14773 submodule.complete_lattice
0.000018    14774 submodule.mem_top
0.000018    14775 submodule.disjoint_def
0.276624    14776 linear_map.mem_ker
0.000075    14777 linear_map.disjoint_ker
0.000024    14778 linear_map.ker_eq_bot'
0.000016    14779 linear_independent_iff
0.000015    14780 finsupp.total_apply
0.000015    14781 finsupp.mem_supported
0.000015    14782 finset.subtype._proof_1
0.000015    14783 finset.subtype._proof_2
0.000014    14784 finset.subtype
0.000018    14785 finset.subtype.equations._eqn_1
0.000016    14786 function.embedding.coe_fn_mk
0.000017    14787 finset.mem_subtype
0.000016    14788 finsupp.subtype_domain._proof_1
0.000015    14789 finsupp.subtype_domain
0.000018    14790 finsupp.support_subtype_domain
0.000018    14791 finset.subtype_eq_empty
0.000016    14792 finsupp.subtype_domain_eq_zero_iff'
0.000017    14793 finsupp.subtype_domain_eq_zero_iff
0.000016    14794 multiset.pmap_eq_map
0.000015    14795 multiset.pmap_eq_map_attach
0.000015    14796 multiset.map_eq_map_of_bij_of_nodup
0.000015    14797 finset.sum_bij
0.000018    14798 finsupp.sum_subtype_domain_index
0.000015    14799 exists_unique
0.000015    14800 quotient.rec_on
0.000015    14801 list.choose_x._match_2
0.000018    14802 list.choose_x._match_1
0.000016    14803 list.choose_x._main
0.000017    14804 list.choose_x
0.000016    14805 exists_of_exists_unique
0.000015    14806 multiset.choose_x._proof_1
0.000015    14807 multiset.choose_x._proof_2
0.000017    14808 multiset.choose_x
0.000018    14809 finset.choose_x
0.000018    14810 finset.choose
0.000018    14811 exists_unique.intro
0.000018    14812 function.embedding.injective
0.000018    14813 finsupp.emb_domain._match_1
0.000018    14814 finsupp.emb_domain._proof_1
0.000018    14815 finset.choose_spec
0.000018    14816 finset.choose_mem
0.000018    14817 ne.irrefl
0.000018    14818 false_of_ne
0.000018    14819 ne_self_iff_false
0.000018    14820 finsupp.emb_domain._proof_2
0.000019    14821 finsupp.emb_domain
0.000018    14822 function.embedding.subtype._proof_1
0.000018    14823 function.embedding.subtype
0.000018    14824 function.injective.eq_iff'
0.000018    14825 finset.choose_property
0.000018    14826 finsupp.emb_domain_apply
0.000018    14827 finsupp.emb_domain_injective
0.000018    14828 finsupp.emb_domain_zero
0.000018    14829 finsupp.emb_domain_eq_zero
0.000018    14830 finsupp.support_emb_domain
0.000016    14831 function.embedding.coe_subtype
0.000018    14832 finsupp.map_domain
0.000021    14833 finsupp.map_domain.equations._eqn_1
0.000027    14834 finsupp.map_domain_apply
0.000020    14835 finsupp.map_domain_notin_range
0.000018    14836 finsupp.emb_domain_notin_range
0.000018    14837 finsupp.emb_domain_eq_map_domain
0.000018    14838 finsupp.sum_map_domain_index
0.000018    14839 linear_independent_comp_subtype
0.000018    14840 linear_independent_subtype
0.000018    14841 linear_independent_of_finite
0.000018    14842 linear_independent_comp_subtype_disjoint
0.000018    14843 linear_independent_subtype_disjoint
0.000018    14844 disjoint.mono_left
0.000018    14845 finsupp.supported_mono
0.000018    14846 linear_independent.mono
0.000018    14847 finsupp.mem_supported'
0.000018    14848 finsupp.supported_empty
0.000018    14849 linear_independent_empty
0.000018    14850 linear_independent_Union_of_directed
0.000018    14851 linear_independent_sUnion_of_directed
0.000018    14852 zorn.chain.total_of_refl
0.000018    14853 zorn.chain.directed_on
0.000018    14854 set.union_singleton
0.000018    14855 nontrivial_iff
0.000018    14856 subsingleton_iff
0.000018    14857 not_nontrivial_iff_subsingleton
0.000018    14858 subsingleton_or_nontrivial
0.000018    14859 linear_independent_of_subsingleton
0.000018    14860 finsupp.map_domain_add
0.000018    14861 finsupp.lmap_domain._proof_1
0.000018    14862 finsupp.map_range_zero
0.000018    14863 finsupp.map_domain_zero
0.000018    14864 finsupp.map_range_add
0.000018    14865 finsupp.map_domain_single
0.000018    14866 finsupp.map_domain_smul
0.000018    14867 finsupp.lmap_domain
0.000018    14868 finsupp.lmap_domain_apply
0.000019    14869 finsupp.total_comp
0.000017    14870 linear_independent.comp
0.000018    14871 linear_independent_equiv
0.000018    14872 linear_independent_equiv'
0.000018    14873 linear_independent_subtype_range
0.000018    14874 finsupp.single_injective
0.000019    14875 finsupp.single_eq_single_iff
0.000018    14876 finsupp.add_comm_group._proof_1
0.000018    14877 finsupp.add_comm_group._proof_2
0.000018    14878 finsupp.add_comm_group._proof_3
0.000018    14879 finsupp.add_comm_group._proof_4
0.000018    14880 finsupp.add_comm_group._proof_5
0.000018    14881 finsupp.add_comm_group._proof_6
0.000018    14882 finsupp.add_comm_group._proof_7
0.000018    14883 finsupp.add_comm_group._proof_8
0.000018    14884 finsupp.add_comm_group
0.000018    14885 eq_add_of_sub_eq'
0.000017    14886 linear_independent.injective
0.000018    14887 linear_independent.to_subtype_range
0.000018    14888 linear_independent.to_subtype_range'
0.000019    14889 sum.elim
0.000017    14890 sum.inl_injective
0.000018    14891 sum.inr_injective
0.000018    14892 add_submonoid.map._proof_1
0.000018    14893 add_submonoid.map._proof_2
0.000018    14894 add_submonoid.map
0.343335    14895 submodule.map._proof_1
0.000080    14896 submodule.map._proof_2
0.000025    14897 submodule.map._proof_3
0.000015    14898 submodule.map
0.000015    14899 submodule.span_eq_of_le
0.000015    14900 finsupp.single_mem_supported
0.000015    14901 finsupp.total_single
0.000014    14902 submodule.map_le_iff_le_comap
0.000015    14903 add_submonoid.list_sum_mem
0.000018    14904 add_submonoid.multiset_sum_mem
0.000016    14905 add_submonoid.sum_mem
0.000017    14906 submodule.sum_mem
0.000016    14907 linear_map.coe_smul_right
0.000015    14908 linear_map.id_coe
0.000015    14909 finsupp.span_eq_map_total
0.000017    14910 submodule.mem_map
0.000027    14911 finsupp.mem_span_iff_total
0.000022    14912 set.inter_eq_Inter
0.000015    14913 set_like.ext
0.000019    14914 submodule.ext
0.000015    14915 set.subset_Inter_iff
0.000018    14916 submodule.Inf_coe
0.000019    14917 infi_range
0.000018    14918 set.bInter_range
0.000018    14919 submodule.infi_coe
0.000018    14920 submodule.mem_infi
0.000018    14921 finsupp.supported_Inter
0.000018    14922 infi_bool_eq
0.000018    14923 finsupp.supported_inter
0.000018    14924 set.disjoint_iff_inter_eq_empty
0.000016    14925 finsupp.disjoint_supported_supported
0.000015    14926 submodule.mem_inf
0.000018    14927 linear_independent_iff_injective_total
0.000018    14928 linear_independent.injective_total
0.000018    14929 linear_independent.disjoint_span_image
0.000018    14930 true_eq_false_of_false
0.000018    14931 set.is_compl_range_inl_range_inr
0.000018    14932 finsupp.lapply._proof_1
0.000019    14933 finsupp.lapply._proof_2
0.000018    14934 finsupp.lapply
0.000018    14935 finsupp.lapply_apply
0.000018    14936 linear_map.map_sum
0.000018    14937 linear_independent_iff'
0.000018    14938 submodule.disjoint_def'
0.000018    14939 sub_mul_action
0.000018    14940 sub_mul_action.carrier
0.000018    14941 sub_mul_action.cases_on
0.000018    14942 sub_mul_action.set_like._proof_1
0.000018    14943 sub_mul_action.set_like
0.000018    14944 neg_one_smul
0.000018    14945 sub_mul_action.smul_mem'
0.000018    14946 sub_mul_action.smul_mem
0.000018    14947 sub_mul_action.neg_mem
0.000018    14948 submodule.to_sub_mul_action
0.000018    14949 submodule.neg_mem
0.000018    14950 sum.inl.inj_arrow
0.000019    14951 sum.inr.inj_arrow
0.000017    14952 sum.decidable_eq
0.000018    14953 finset.disjoint_filter
0.000018    14954 set.disjoint_left
0.000018    14955 finset.filter_or
0.000018    14956 set.mem_union
0.000018    14957 set.range_inl_union_range_inr
0.000018    14958 finset.filter_true
0.000018    14959 linear_independent_sum
0.000018    14960 linear_independent.sum_type
0.000018    14961 sum.exists
0.000018    14962 sum.elim_inl
0.000018    14963 sum.elim_inr
0.000018    14964 set.sum.elim_range
0.000018    14965 linear_independent.union
0.000018    14966 unique.forall_iff
0.000018    14967 finsupp.unique_single
0.000018    14968 finsupp.total_unique
0.000018    14969 division_ring.to_nontrivial
0.000017    14970 finsupp.unique_ext
0.000019    14971 linear_independent_unique_iff
0.000017    14972 linear_independent_unique
0.000018    14973 linear_independent_singleton
0.000018    14974 submodule.mem_span_singleton
0.000019    14975 sub_mul_action.smul_of_tower_mem
0.000017    14976 sub_mul_action.smul_mem_iff'
0.000019    14977 sub_mul_action.smul_mem_iff
0.000018    14978 submodule.smul_mem_iff
0.000018    14979 submodule.disjoint_span_singleton
0.000017    14980 submodule.disjoint_span_singleton'
0.000019    14981 linear_independent.insert
0.000018    14982 set.subset_insert
0.000018    14983 exists_linear_independent
0.000018    14984 exists_subset_is_basis
0.000018    14985 exists_is_basis
0.000018    14986 is_irrefl
0.000018    14987 is_strict_order
0.000018    14988 well_founded.dcases_on
0.000018    14989 rel_embedding.swap._proof_1
0.000018    14990 rel_embedding.swap
0.000018    14991 is_trichotomous
0.000018    14992 is_asymm
0.000018    14993 is_trichotomous.trichotomous
0.000018    14994 trichotomous
0.000018    14995 is_irrefl.irrefl
0.000018    14996 irrefl
0.000018    14997 is_asymm.asymm
0.000018    14998 asymm
0.000018    14999 is_asymm.is_irrefl
0.000018    15000 rel_embedding.of_monotone._proof_1
0.000018    15001 rel_embedding.of_monotone._proof_2
0.000018    15002 rel_embedding.of_monotone
0.000018    15003 has_lt.lt.is_trichotomous
0.000016    15004 is_asymm_of_is_trans_of_is_irrefl
0.000018    15005 is_strict_order.to_is_trans
0.000018    15006 is_strict_order.to_is_irrefl
0.000018    15007 rel_embedding.nat_lt._proof_1
0.000018    15008 rel_embedding.nat_lt._proof_2
0.000018    15009 rel_embedding.nat_lt
0.000018    15010 irrefl_of
0.000018    15011 is_irrefl.swap
0.000018    15012 is_strict_order.swap
0.000018    15013 rel_embedding.nat_gt
0.000018    15014 nat.iterate._main
0.000017    15015 nat.iterate
0.000018    15016 function.iterate_succ
0.000018    15017 function.semiconj
0.000018    15018 function.semiconj.comp_eq
0.000017    15019 function.commute
0.000018    15020 function.semiconj.id_right
0.000018    15021 function.semiconj.eq
0.000018    15022 function.semiconj.comp_right
0.000018    15023 function.semiconj.iterate_right
0.000018    15024 function.commute.iterate_right
0.286020    15025 function.commute.refl
0.000074    15026 function.commute.self_iterate
0.000024    15027 function.iterate_succ'
0.000016    15028 rel_embedding.well_founded_iff_no_descending_seq
0.000015    15029 has_lt.lt.is_irrefl
0.000015    15030 gt.is_irrefl
0.000015    15031 has_lt.lt.is_trans
0.000015    15032 gt.is_trans
0.000015    15033 gt.is_strict_order
0.000014    15034 complete_lattice.is_compact_element
0.000018    15035 complete_lattice.is_Sup_finite_compact
0.000019    15036 complete_lattice.is_sup_closed_compact
0.000018    15037 well_founded.has_min
0.000015    15038 well_founded.well_founded_iff_has_min
0.000015    15039 well_founded.eq_iff_not_lt_of_le
0.000015    15040 well_founded.well_founded_iff_has_max'
0.000018    15041 finset.subset_insert
0.000016    15042 finset.sup_eq_Sup
0.000017    15043 is_least.mono
0.000018    15044 upper_bounds_mono_set
0.000016    15045 is_lub.mono
0.000014    15046 Sup_le_Sup
0.000018    15047 complete_lattice.well_founded.is_Sup_finite_compact
0.000019    15048 and_congr_left'
0.000018    15049 set.eq_singleton_iff_unique_mem
0.000018    15050 and_congr_left
0.000018    15051 set.eq_singleton_iff_nonempty_unique_mem
0.000018    15052 Sup_eq_bot
0.000025    15053 eq_singleton_bot_of_Sup_eq_bot_of_nonempty
0.000024    15054 finset.sup_of_mem
0.000019    15055 finset.sup'._match_1
0.000018    15056 finset.sup'
0.000018    15057 finset.sup'.equations._eqn_1
0.000018    15058 finset.coe_sup'
0.000019    15059 finset.sup'_le
0.000017    15060 finset.le_sup'
0.000019    15061 finset.sup'_eq_sup
0.000018    15062 with_bot.rec_bot_coe
0.000018    15063 finset.sup_induction
0.000018    15064 finset.sup'_induction
0.000018    15065 finset.sup_closed_of_sup_closed
0.000018    15066 complete_lattice.is_Sup_finite_compact.is_sup_closed_compact
0.000018    15067 rel_hom
0.000018    15068 rel_hom.to_fun
0.000018    15069 rel_hom.has_coe_to_fun
0.000018    15070 le_or_lt
0.000018    15071 strict_mono.monotone
0.000018    15072 rel_hom.map_rel'
0.000018    15073 rel_hom.map_rel
0.000018    15074 rel_hom.swap._proof_1
0.000018    15075 rel_hom.swap
0.000017    15076 rel_hom.map_sup
0.000018    15077 rel_embedding.to_rel_hom._proof_1
0.000018    15078 rel_embedding.to_rel_hom
0.000018    15079 complete_lattice.is_sup_closed_compact.well_founded
0.000018    15080 complete_lattice.is_Sup_finite_compact_iff_all_elements_compact
0.000018    15081 complete_lattice.well_founded_characterisations
0.000018    15082 is_noetherian.dcases_on
0.000018    15083 is_lub.supr_eq
0.000018    15084 galois_connection.l_supr
0.000018    15085 submodule.gi._proof_1
0.000018    15086 submodule.gi._proof_2
0.000018    15087 submodule.gi._proof_3
0.000018    15088 submodule.gi
0.000018    15089 submodule.span_Union
0.000017    15090 set.bUnion_of_singleton
0.000018    15091 submodule.span_eq_supr_of_singleton_spans
0.000018    15092 finset.sup_le_of_le_directed
0.000019    15093 set.nonempty_of_mem
0.000018    15094 multiset.sup_singleton
0.000018    15095 finset.sup_singleton
0.000018    15096 complete_lattice.is_compact_element_iff_le_of_directed_Sup_le
0.000018    15097 finset.image_empty
0.000018    15098 finset.image_union
0.000023    15099 finset.image_singleton
0.000024    15100 finset.image_insert
0.000019    15101 finset.sup_finset_image
0.000018    15102 complete_lattice.finset_sup_compact_of_compact
0.000018    15103 Sup_eq_supr'
0.000019    15104 submodule.span_eq
0.000018    15105 submodule.coe_supr_of_directed
0.000018    15106 submodule.mem_supr_of_directed
0.000018    15107 submodule.mem_Sup_of_directed
0.000018    15108 submodule.mem_span_singleton_self
0.000018    15109 submodule.singleton_span_is_compact_element
0.000018    15110 infi_image
0.000018    15111 supr_image
0.000019    15112 finset.subset_image_iff
0.000018    15113 submodule.fg_iff_compact
0.000018    15114 is_noetherian_iff_well_founded
0.000018    15115 well_founded_submodule_gt
0.000018    15116 nat_embedding_aux._main._pack._wf_rec_mk_dec_tactic._aux_1
0.000018    15117 _private.2679494475.nat_embedding_aux._main._pack
0.000018    15118 _private.2679494475.nat_embedding_aux._main
0.000016    15119 _private.2679494475.nat_embedding_aux
0.000015    15120 _private.2679494475.nat_embedding_aux._main._pack.equations._eqn_1
0.000018    15121 _private.2679494475.nat_embedding_aux._main.equations._eqn_1
0.000018    15122 _private.2679494475.nat_embedding_aux.equations._eqn_1
0.000018    15123 _private.483893039.nat_embedding_aux_injective
0.000018    15124 infinite.nat_embedding
0.000018    15125 submodule.has_add._proof_1
0.000018    15126 submodule.has_add
0.000018    15127 add_submonoid.has_add._proof_1
0.000018    15128 add_submonoid.has_add
0.000018    15129 add_submonoid.has_zero
0.000018    15130 add_submonoid.to_add_comm_monoid._proof_1
0.000018    15131 add_submonoid.to_add_comm_monoid._proof_2
0.000018    15132 add_submonoid.to_add_comm_monoid._proof_3
0.000018    15133 add_submonoid.to_add_comm_monoid
0.000018    15134 submodule.add_comm_monoid._proof_1
0.000019    15135 submodule.has_zero
0.359336    15136 submodule.add_comm_monoid._proof_2
0.000074    15137 submodule.add_comm_monoid._proof_3
0.000025    15138 submodule.add_comm_monoid._proof_4
0.000015    15139 submodule.add_comm_monoid._proof_5
0.000015    15140 submodule.add_comm_monoid._proof_6
0.000015    15141 submodule.add_comm_monoid
0.000015    15142 submodule.smul_of_tower_mem
0.000015    15143 submodule.has_scalar._proof_1
0.000015    15144 submodule.has_scalar
0.000015    15145 sub_mul_action.has_scalar'._proof_1
0.000017    15146 sub_mul_action.has_scalar'
0.000018    15147 sub_mul_action.mul_action'._proof_1
0.000019    15148 sub_mul_action.mul_action'._proof_2
0.000018    15149 sub_mul_action.mul_action'
0.000016    15150 submodule.semimodule'._proof_1
0.000017    15151 submodule.semimodule'._proof_2
0.000016    15152 set_coe.ext
0.000018    15153 submodule.coe_smul_of_tower
0.000018    15154 submodule.coe_add
0.000015    15155 submodule.semimodule'._proof_3
0.000018    15156 submodule.coe_zero
0.000016    15157 submodule.semimodule'._proof_4
0.000017    15158 submodule.semimodule'._proof_5
0.000020    15159 submodule.semimodule'._proof_6
0.000018    15160 submodule.semimodule'
0.000018    15161 submodule.semimodule._proof_1
0.000017    15162 submodule.semimodule
0.000018    15163 submodule.copy._proof_1
0.000018    15164 submodule.copy._proof_2
0.000018    15165 submodule.copy._proof_3
0.000018    15166 submodule.copy
0.000018    15167 linear_map.range._proof_1
0.000018    15168 linear_map.range
0.000018    15169 submodule.coe_mk
0.000018    15170 linear_map.cod_restrict._proof_1
0.000017    15171 linear_map.cod_restrict._proof_2
0.000018    15172 linear_map.cod_restrict
0.000018    15173 linear_map.mem_range_self
0.000018    15174 linear_map.range_restrict
0.000066    15175 linear_equiv.of_left_inverse._proof_1
0.000021    15176 linear_equiv.of_left_inverse._proof_2
0.000019    15177 submodule.inhabited
0.000018    15178 submodule.subtype._proof_1
0.000018    15179 submodule.coe_smul
0.000019    15180 submodule.subtype._proof_2
0.000016    15181 submodule.subtype
0.000017    15182 linear_equiv.of_left_inverse._match_1
0.000018    15183 linear_map.mem_range
0.000018    15184 linear_equiv.of_left_inverse._proof_3
0.000018    15185 linear_equiv.of_left_inverse
0.000018    15186 function.has_left_inverse
0.000018    15187 function.injective.has_left_inverse
0.000019    15188 add_subgroup.sub_mem
0.000018    15189 submodule.to_add_subgroup._proof_1
0.000018    15190 submodule.to_add_subgroup._proof_2
0.000018    15191 submodule.to_add_subgroup._proof_3
0.000018    15192 submodule.to_add_subgroup
0.000018    15193 submodule.sub_mem
0.000018    15194 linear_map.disjoint_ker'
0.000018    15195 linear_map.ker_eq_bot
0.000018    15196 linear_equiv.of_injective._proof_1
0.000018    15197 linear_equiv.of_injective._proof_2
0.000018    15198 linear_equiv.of_injective
0.000018    15199 linear_equiv.of_top._proof_1
0.000018    15200 linear_equiv.of_top._proof_2
0.000018    15201 linear_equiv.of_top._proof_3
0.000018    15202 linear_equiv.of_top._match_1
0.000018    15203 linear_equiv.of_top._proof_4
0.000016    15204 linear_equiv.of_top._proof_5
0.000015    15205 linear_equiv.of_top
0.000018    15206 linear_equiv.of_bijective
0.000017    15207 add_subgroup.has_add
0.000019    15208 add_subgroup.has_zero
0.000017    15209 add_subgroup.has_neg._proof_1
0.000019    15210 add_subgroup.has_neg
0.000017    15211 add_subgroup.has_sub._proof_1
0.000019    15212 add_subgroup.has_sub
0.000017    15213 add_subgroup.to_add_comm_group._proof_1
0.000018    15214 add_subgroup.to_add_comm_group._proof_2
0.000018    15215 add_subgroup.to_add_comm_group._proof_3
0.000018    15216 add_subgroup.to_add_comm_group._proof_4
0.000018    15217 add_subgroup.to_add_comm_group._proof_5
0.000018    15218 add_subgroup.to_add_comm_group
0.000018    15219 submodule.add_comm_group._proof_1
0.000018    15220 submodule.add_comm_group._proof_2
0.000018    15221 submodule.add_comm_group._proof_3
0.000018    15222 submodule.add_comm_group._proof_4
0.000018    15223 submodule.add_comm_group._proof_5
0.000018    15224 submodule.has_neg._proof_1
0.000018    15225 submodule.has_neg
0.000018    15226 submodule.add_comm_group._proof_6
0.000018    15227 submodule.add_comm_group._proof_7
0.000018    15228 submodule.add_comm_group._proof_8
0.000018    15229 submodule.add_comm_group
0.000017    15230 finsupp.range_total
0.000018    15231 linear_independent.total_equiv._proof_1
0.000018    15232 linear_map.ker.equations._eqn_1
0.000018    15233 linear_map.comap_cod_restrict
0.000018    15234 submodule.gc_map_comap
0.000018    15235 submodule.map_bot
0.000018    15236 linear_map.ker_cod_restrict
0.000018    15237 linear_independent.total_equiv._proof_2
0.000017    15238 linear_map.range_eq_map
0.000018    15239 linear_map.cod_restrict_apply
0.000018    15240 submodule.mem_comap
0.000018    15241 submodule.subtype_apply
0.000018    15242 linear_map.map_cod_restrict
0.000018    15243 linear_map.range_le_iff_comap
0.000018    15244 submodule.comap_top
0.000018    15245 submodule.map_top
0.397533    15246 submodule.map_comap_subtype
0.000076    15247 submodule.range_subtype
0.000024    15248 linear_independent.total_equiv._proof_3
0.000015    15249 linear_independent.total_equiv
0.000015    15250 linear_independent.repr
0.000015    15251 finsupp.single_of_emb_domain_single
0.000015    15252 finsupp.total_emb_domain
0.000015    15253 finsupp.total_map_domain
0.000015    15254 linear_independent.total_repr
0.000017    15255 surjective_of_linear_independent_of_span
0.000019    15256 subtype.mem
0.000018    15257 eq_of_linear_independent_of_span_subtype
0.000018    15258 le_of_span_le_span
0.000016    15259 submodule.span_mono
0.000015    15260 span_le_span_iff
0.000015    15261 set.image_subset_image_iff
0.000018    15262 finite_of_linear_independent
0.000018    15263 finite_dimensional.exists_is_basis_finite
0.000018    15264 finite_dimensional.exists_is_basis_finset
0.000016    15265 cardinal.is_equivalent._match_1
0.000015    15266 cardinal.is_equivalent._match_2
0.000015    15267 cardinal.is_equivalent._match_3
0.000016    15268 cardinal.is_equivalent._proof_1
0.000016    15269 cardinal.is_equivalent
0.000018    15270 cardinal
0.000018    15271 function.embedding.trans._proof_1
0.000019    15272 function.embedding.trans
0.000018    15273 function.embedding.congr
0.000018    15274 cardinal.has_le._match_1
0.000018    15275 cardinal.has_le._match_2
0.000018    15276 cardinal.has_le._match_3
0.000019    15277 cardinal.has_le._match_4
0.000018    15278 cardinal.has_le._proof_1
0.000018    15279 cardinal.has_le
0.000018    15280 function.injective_id
0.000018    15281 function.embedding.refl
0.000017    15282 cardinal.linear_order._proof_1
0.000019    15283 cardinal.linear_order._proof_2
0.000017    15284 cardinal.linear_order._proof_3
0.000019    15285 lfp
0.000017    15286 or_eq_of_eq_false_left
0.000018    15287 and_eq_of_eq_false_left
0.000018    15288 and_eq_of_eq_false_right
0.000018    15289 set.image_union
0.000018    15290 lfp_le
0.000018    15291 le_lfp
0.000018    15292 lfp_eq
0.000018    15293 function.embedding.schroeder_bernstein
0.000018    15294 function.embedding.antisymm
0.000016    15295 cardinal.linear_order._proof_4
0.000015    15296 ulift
0.000017    15297 ulift.down
0.000019    15298 ulift.cases_on
0.000018    15299 ulift.up_down
0.000018    15300 equiv.ulift._proof_1
0.000018    15301 equiv.ulift
0.000018    15302 _private.1867346213.sets
0.000018    15303 zorn.chain.total
0.000018    15304 function.embedding.min_injective
0.000018    15305 function.embedding.total
0.000018    15306 cardinal.linear_order._proof_5
0.000018    15307 cardinal.linear_order._proof_6
0.000018    15308 cardinal.linear_order._proof_7
0.000017    15309 cardinal.linear_order._proof_8
0.000026    15310 cardinal.linear_order._proof_9
0.000017    15311 cardinal.linear_order
0.000015    15312 quot.out
0.000023    15313 quotient.out
0.000030    15314 cardinal.min._proof_1
0.000020    15315 cardinal.min
0.000019    15316 vector_space.dim._proof_1
0.000018    15317 cardinal.mk
0.000018    15318 vector_space.dim
0.000018    15319 cardinal.lift._match_1
0.000018    15320 cardinal.lift._proof_1
0.000019    15321 cardinal.lift
0.000018    15322 cardinal.omega
0.000018    15323 cardinal.lift_id'
0.000018    15324 cardinal.lift_id
0.000018    15325 cardinal.min_eq
0.000018    15326 cardinal.mk_range_eq
0.000018    15327 is_basis.injective
0.000018    15328 sum.map._main
0.000018    15329 sum.map
0.000019    15330 sum.map_map
0.000017    15331 sum.map_id_id
0.000019    15332 equiv.sum_congr._proof_1
0.000018    15333 equiv.sum_congr._proof_2
0.000018    15334 equiv.sum_congr
0.000018    15335 cardinal.has_add._match_1
0.000018    15336 cardinal.has_add._match_2
0.000018    15337 cardinal.has_add._proof_1
0.000018    15338 cardinal.has_add
0.000018    15339 equiv.sum_assoc._proof_1
0.000018    15340 equiv.sum_assoc._proof_2
0.000018    15341 equiv.sum_assoc
0.000018    15342 cardinal.comm_semiring._proof_1
0.000018    15343 pempty
0.000018    15344 cardinal.has_zero
0.000018    15345 sum.swap._main
0.000018    15346 sum.swap
0.000018    15347 sum.swap_swap
0.000018    15348 equiv.sum_comm
0.000018    15349 pempty.cases_on
0.000019    15350 equiv.sum_pempty._proof_1
0.000018    15351 equiv.sum_pempty._proof_2
0.000018    15352 equiv.sum_pempty
0.000018    15353 equiv.pempty_sum
0.000018    15354 _private.4139825523.zero_add
0.000018    15355 _private.326938349.add_comm
0.000024    15356 cardinal.comm_semiring._proof_2
0.000024    15357 add_comm_monoid.nsmul._default
0.000018    15358 semiring.nsmul._default
0.000018    15359 cardinal.comm_semiring._proof_3
0.000018    15360 cardinal.comm_semiring._proof_4
0.000019    15361 cardinal.comm_semiring._proof_5
0.000018    15362 prod.map_mk
0.000018    15363 equiv.prod_congr._match_1
0.000018    15364 equiv.prod_congr._proof_1
0.000019    15365 equiv.prod_congr._match_2
0.000018    15366 equiv.prod_congr._proof_2
0.000018    15367 equiv.prod_congr
0.000018    15368 cardinal.has_mul._match_1
0.000018    15369 cardinal.has_mul._match_2
0.000018    15370 cardinal.has_mul._proof_1
0.000018    15371 cardinal.has_mul
0.000018    15372 equiv.prod_assoc._match_1
0.000018    15373 equiv.prod_assoc._proof_1
0.113673    15374 equiv.prod_assoc._match_2
0.000074    15375 equiv.prod_assoc._proof_2
0.000024    15376 equiv.prod_assoc
0.000015    15377 cardinal.comm_semiring._proof_6
0.000015    15378 cardinal.has_one
0.000015    15379 equiv.prod_comm._match_1
0.000015    15380 equiv.prod_comm._proof_1
0.000015    15381 equiv.prod_comm._match_2
0.000015    15382 equiv.prod_comm._proof_2
0.000020    15383 equiv.prod_comm
0.000018    15384 equiv.prod_punit._match_1
0.000016    15385 equiv.prod_punit._proof_1
0.000016    15386 equiv.prod_punit._proof_2
0.000015    15387 equiv.prod_punit
0.000018    15388 equiv.punit_prod
0.000016    15389 _private.465478439.one_mul
0.000017    15390 _private.4138093333.mul_comm
0.000016    15391 cardinal.comm_semiring._proof_7
0.000019    15392 cardinal.comm_semiring._proof_8
0.000018    15393 cardinal.comm_semiring._proof_9
0.000018    15394 cardinal.comm_semiring._proof_10
0.000018    15395 equiv.equiv_pempty._proof_1
0.000016    15396 equiv.equiv_pempty._proof_2
0.000015    15397 equiv.equiv_pempty
0.000015    15398 equiv.pempty_prod._match_1
0.000015    15399 equiv.pempty_prod._proof_1
0.000020    15400 equiv.pempty_prod
0.000019    15401 _private.4239070525.zero_mul
0.000018    15402 cardinal.comm_semiring._proof_11
0.000016    15403 equiv.sum_prod_distrib._match_1
0.000015    15404 equiv.sum_prod_distrib._match_2
0.000015    15405 equiv.sum_prod_distrib._proof_1
0.000015    15406 equiv.sum_prod_distrib._proof_2
0.000018    15407 equiv.sum_prod_distrib
0.000018    15408 equiv.prod_sum_distrib
0.000018    15409 _private.3246141139.left_distrib
0.000018    15410 cardinal.comm_semiring._proof_12
0.000018    15411 cardinal.comm_semiring
0.000018    15412 function.embedding.of_not_nonempty._proof_1
0.000018    15413 function.embedding.of_not_nonempty._proof_2
0.000018    15414 function.embedding.of_not_nonempty
0.000019    15415 pempty.elim._main
0.000018    15416 pempty.elim
0.000018    15417 cardinal.zero_le
0.000018    15418 cardinal.order_bot
0.000018    15419 function.embedding.sum_map._match_1
0.000018    15420 function.embedding.sum_map._proof_1
0.000018    15421 function.embedding.sum_map
0.000018    15422 cardinal.add_le_add
0.000019    15423 cardinal.add_le_add_left
0.000018    15424 cardinal.canonically_ordered_comm_semiring._proof_1
0.000018    15425 cardinal.canonically_ordered_comm_semiring._proof_2
0.000018    15426 equiv.set.union'._proof_1
0.000018    15427 equiv.set.union'._proof_2
0.000022    15428 equiv.set.union'._match_1
0.000026    15429 equiv.set.union'._match_1._proof_1
0.000019    15430 equiv.set.union'._match_1.equations._eqn_1
0.000019    15431 equiv.set.union'._match_1._proof_2
0.000018    15432 equiv.set.union'._match_1.equations._eqn_2
0.000018    15433 equiv.set.union'._match_2
0.000018    15434 equiv.set.union'._proof_3
0.000019    15435 equiv.set.union'._proof_4
0.000073    15436 equiv.set.union'
0.000020    15437 equiv.set.union._proof_1
0.000019    15438 equiv.set.union._proof_2
0.000016    15439 equiv.set.union
0.000017    15440 equiv.set.sum_compl._proof_1
0.000019    15441 equiv.set.of_eq._proof_1
0.000019    15442 equiv.set.of_eq._proof_2
0.000018    15443 equiv.set.of_eq._proof_3
0.000018    15444 equiv.set.of_eq._proof_4
0.000016    15445 equiv.set.of_eq
0.000019    15446 equiv.set.sum_compl._proof_2
0.000020    15447 equiv.set.sum_compl
0.000018    15448 cardinal.le_iff_exists_add
0.000018    15449 empty
0.000018    15450 equiv.equiv_empty._proof_1
0.000018    15451 equiv.equiv_empty._proof_2
0.000018    15452 equiv.equiv_empty
0.000018    15453 equiv.empty_of_not_nonempty._proof_1
0.000018    15454 equiv.empty_of_not_nonempty
0.000018    15455 equiv.empty_equiv_pempty._proof_1
0.000018    15456 equiv.empty_equiv_pempty
0.000018    15457 cardinal.ne_zero_iff_nonempty
0.000018    15458 cardinal.eq_zero_or_eq_zero_of_mul_eq_zero
0.000018    15459 cardinal.canonically_ordered_comm_semiring
0.000018    15460 cardinal.lift_umax
0.000018    15461 cardinal.lift_mk_le
0.000018    15462 cardinal.lift_le
0.000018    15463 cardinal.lift_inj
0.000018    15464 cardinal.lift_lift
0.000018    15465 cardinal.lift_max
0.000018    15466 cardinal.lift_mk_eq
0.000018    15467 cardinal.mk_range_eq_of_injective
0.000018    15468 is_basis.repr._proof_1
0.000018    15469 submodule.eq_top_iff'
0.000018    15470 is_basis.mem_span
0.000018    15471 is_basis.repr
0.000018    15472 cardinal.sum
0.000018    15473 function.embedding.of_surjective
0.000018    15474 cardinal.mk_le_of_surjective
0.000018    15475 set.sigma_to_Union._proof_1
0.000018    15476 set.sigma_to_Union
0.000018    15477 set.sigma_to_Union_surjective
0.000018    15478 equiv.sigma_congr_right._match_1
0.000018    15479 equiv.sigma_congr_right._proof_1
0.000018    15480 equiv.sigma_congr_right._match_2
0.000018    15481 equiv.sigma_congr_right._proof_2
0.000018    15482 equiv.sigma_congr_right
0.000018    15483 quot.out_eq
0.000018    15484 cardinal.sum_mk
0.000018    15485 cardinal.mk_Union_le_sum_mk
0.000018    15486 sigma.map
0.000018    15487 function.injective.sigma_map
0.000016    15488 function.embedding.sigma_map._proof_1
0.185053    15489 function.embedding.sigma_map
0.000073    15490 cardinal.sum_le_sum
0.000024    15491 cardinal.lift_lt
0.000018    15492 function.embedding.equiv_of_surjective._proof_1
0.000024    15493 function.embedding.equiv_of_surjective
0.000018    15494 function.embedding.cod_restrict._proof_1
0.000015    15495 function.embedding.cod_restrict
0.000015    15496 cardinal.lift_down
0.000021    15497 cardinal.lt_lift_iff
0.000018    15498 cardinal.le_mk_iff_exists_set
0.000018    15499 equiv.pempty_equiv_pempty
0.000016    15500 cardinal.lift_zero
0.000018    15501 cardinal.lift_add
0.000016    15502 equiv.punit_equiv_punit._proof_1
0.000018    15503 equiv.punit_equiv_punit._proof_2
0.000018    15504 equiv.punit_equiv_punit
0.000016    15505 cardinal.lift_one
0.000017    15506 cardinal.lift_nat_cast
0.000018    15507 equiv.pempty_of_not_nonempty._proof_1
0.000016    15508 equiv.pempty_of_not_nonempty
0.000020    15509 sigma.fintype._match_1
0.000018    15510 sigma.fintype._proof_1
0.000016    15511 sigma.fintype
0.000017    15512 ulift.fintype
0.000018    15513 equiv.sum_equiv_sigma_bool._match_1
0.000018    15514 equiv.sum_equiv_sigma_bool._proof_1
0.000018    15515 equiv.sum_equiv_sigma_bool._proof_2
0.000018    15516 equiv.sum_equiv_sigma_bool
0.000018    15517 sum.fintype
0.000018    15518 punit.fintype
0.000018    15519 trunc.out
0.000017    15520 fintype.equiv_fin._proof_1
0.000019    15521 fintype.equiv_fin._proof_2
0.000017    15522 fintype.equiv_fin_of_forall_mem_list._proof_1
0.000018    15523 fintype.equiv_fin_of_forall_mem_list._proof_2
0.000018    15524 fintype.equiv_fin_of_forall_mem_list._proof_3
0.000018    15525 list.nth_le_of_mem
0.000018    15526 list.pairwise_iff_nth_le
0.000018    15527 list.nodup_iff_nth_le_inj
0.000018    15528 fintype.equiv_fin_of_forall_mem_list._match_1
0.000018    15529 fintype.equiv_fin_of_forall_mem_list._proof_4
0.000018    15530 fintype.equiv_fin_of_forall_mem_list
0.000018    15531 fintype.equiv_fin._proof_3
0.000018    15532 fintype.equiv_fin
0.000018    15533 fintype.card_eq
0.000018    15534 multiset.sum_zero
0.000018    15535 multiset.card_join
0.000018    15536 multiset.card_bind
0.000018    15537 multiset.card_sigma
0.000017    15538 finset.card_sigma
0.000018    15539 fintype.card_sigma
0.000018    15540 fintype.card_sum
0.000018    15541 fintype.card_punit
0.000018    15542 cardinal.mk_fin
0.000018    15543 cardinal.lift_mk_fin
0.000017    15544 cardinal.fintype_card
0.000018    15545 equiv.arrow_congr._proof_1
0.000018    15546 equiv.arrow_congr._proof_2
0.000018    15547 equiv.arrow_congr
0.000018    15548 cardinal.power._match_1
0.000018    15549 cardinal.power._match_2
0.000018    15550 cardinal.power._proof_1
0.000018    15551 cardinal.power
0.000018    15552 cardinal.has_pow
0.000017    15553 equiv.Prop_equiv_bool._proof_1
0.000018    15554 bool.to_bool_coe
0.000018    15555 equiv.Prop_equiv_bool._proof_2
0.000019    15556 equiv.Prop_equiv_bool
0.000018    15557 cardinal.prop_eq_two
0.000018    15558 ulift.no_confusion_type
0.000018    15559 ulift.no_confusion
0.000019    15560 ulift.up.inj
0.000025    15561 iff_not_self
0.000020    15562 function.cantor_surjective
0.000019    15563 function.cantor_injective
0.000018    15564 ulift.up.inj_arrow
0.000018    15565 cardinal.cantor
0.000018    15566 cardinal.succ._proof_1
0.000018    15567 cardinal.succ
0.000018    15568 cardinal.succ.equations._eqn_1
0.000018    15569 cardinal.lt_succ_self
0.000018    15570 quotient.out_eq
0.000018    15571 cardinal.mk_out
0.000018    15572 cardinal.min_le
0.000018    15573 cardinal.succ_le
0.000018    15574 cardinal.add_one_le_succ
0.000018    15575 finset.card_le_of_subset
0.000018    15576 finset.card_le_card_of_inj_on
0.000018    15577 fintype.card_le_of_injective
0.000018    15578 cardinal.nat_cast_le
0.000018    15579 cardinal.nat_cast_lt
0.000018    15580 cardinal.nat_succ
0.000018    15581 cardinal.omega.equations._eqn_1
0.000018    15582 cardinal.nat_lt_omega
0.000018    15583 cardinal.lt_omega
0.000018    15584 cardinal.lt_omega_iff_fintype
0.000016    15585 cardinal.lt_omega_iff_finite
0.000015    15586 cardinal.mk_def
0.000017    15587 cardinal.mul_def
0.000018    15588 cardinal.sum_const
0.000018    15589 cardinal.wf
0.000018    15590 is_strict_total_order'
0.000018    15591 is_well_order
0.000018    15592 Well_order
0.000018    15593 Well_order.cases_on
0.000018    15594 ordinal.is_equivalent._match_1
0.000028    15595 ordinal.is_equivalent._match_2
0.000015    15596 rel_iso.refl._proof_1
0.000015    15597 rel_iso.refl
0.000026    15598 ordinal.is_equivalent._match_3
0.000020    15599 ordinal.is_equivalent._match_4
0.000019    15600 ordinal.is_equivalent._match_5
0.000017    15601 ordinal.is_equivalent._match_6
0.000019    15602 ordinal.is_equivalent._match_7
0.000017    15603 ordinal.is_equivalent._match_8
0.000018    15604 ordinal.is_equivalent._match_9
0.000018    15605 ordinal.is_equivalent._match_10
0.000018    15606 ordinal.is_equivalent._match_11
0.000018    15607 ordinal.is_equivalent._proof_1
0.000018    15608 ordinal.is_equivalent
0.000018    15609 ordinal
0.000017    15610 well_founded.min
0.000018    15611 principal_seg
0.000018    15612 ordinal.lt._match_1
0.095537    15613 ordinal.lt._match_2
0.000061    15614 function.embedding.trans_apply
0.000024    15615 rel_embedding.trans._proof_1
0.000016    15616 rel_embedding.trans
0.000015    15617 principal_seg.to_rel_embedding
0.000065    15618 principal_seg.rel_embedding.has_coe
0.000018    15619 principal_seg.top
0.000020    15620 principal_seg.has_coe_to_fun
0.000028    15621 principal_seg.down
0.000018    15622 principal_seg.coe_fn_to_rel_embedding
0.000016    15623 rel_embedding.coe_trans
0.000015    15624 principal_seg.coe_coe_fn
0.000017    15625 rel_iso.coe_coe_fn
0.000019    15626 rel_iso.apply_symm_apply
0.000016    15627 principal_seg.equiv_lt._match_1
0.000019    15628 principal_seg.equiv_lt._match_2
0.000019    15629 principal_seg.equiv_lt._proof_1
0.000018    15630 principal_seg.equiv_lt
0.000020    15631 initial_seg
0.000018    15632 initial_seg.to_rel_embedding
0.000019    15633 initial_seg.rel_embedding.has_coe
0.000016    15634 initial_seg.has_coe_to_fun
0.000015    15635 initial_seg.init
0.000015    15636 initial_seg.init'
0.000015    15637 initial_seg.init_iff
0.000017    15638 principal_seg.down'
0.000019    15639 rel_embedding.trans_apply
0.000018    15640 principal_seg.lt_le._proof_1
0.000018    15641 principal_seg.lt_le
0.000019    15642 initial_seg.of_iso._proof_1
0.000018    15643 initial_seg.of_iso
0.000018    15644 ordinal.lt._match_3
0.000019    15645 ordinal.lt._match_4
0.000018    15646 ordinal.lt._match_5
0.000018    15647 ordinal.lt._match_6
0.000018    15648 ordinal.lt._match_7
0.000019    15649 ordinal.lt._match_8
0.000018    15650 ordinal.lt._match_9
0.000018    15651 ordinal.lt._match_10
0.000018    15652 ordinal.lt._proof_1
0.000019    15653 ordinal.lt
0.000018    15654 ordinal.has_lt
0.000018    15655 ordinal.type
0.000019    15656 ordinal.induction_on
0.000018    15657 subrel
0.000018    15658 is_strict_total_order'.to_is_trichotomous
0.000019    15659 is_trichotomous.dcases_on
0.000018    15660 rel_embedding.is_trichotomous
0.000018    15661 rel_embedding.is_irrefl
0.000018    15662 rel_embedding.is_strict_order
0.000019    15663 is_strict_total_order'.to_is_strict_order
0.000018    15664 rel_embedding.is_strict_total_order'
0.000018    15665 is_well_order.to_is_strict_total_order'
0.000019    15666 rel_embedding.acc
0.000018    15667 rel_embedding.well_founded
0.000018    15668 is_well_order.wf
0.000018    15669 rel_embedding.is_well_order
0.000019    15670 subrel.rel_embedding._proof_1
0.000018    15671 subrel.rel_embedding
0.000018    15672 subrel.is_well_order
0.000018    15673 ordinal.typein._proof_1
0.000018    15674 ordinal.typein
0.000019    15675 rel_iso.of_surjective._proof_1
0.000018    15676 rel_iso.of_surjective._proof_2
0.000018    15677 rel_iso.of_surjective
0.000018    15678 rel_embedding.cod_restrict
0.000019    15679 principal_seg.lt_top
0.000018    15680 ordinal.typein_top
0.000018    15681 ordinal.typein_surj
0.000016    15682 ordinal.le._match_1
0.000015    15683 ordinal.le._match_2
0.000017    15684 initial_seg.coe_fn_to_rel_embedding
0.000019    15685 initial_seg.trans._proof_1
0.000018    15686 initial_seg.trans
0.000019    15687 ordinal.le._match_3
0.000018    15688 ordinal.le._match_4
0.000018    15689 ordinal.le._match_5
0.000019    15690 ordinal.le._match_6
0.000018    15691 ordinal.le._match_7
0.000018    15692 ordinal.le._match_8
0.000019    15693 ordinal.le._match_9
0.000018    15694 ordinal.le._match_10
0.000018    15695 ordinal.le._proof_1
0.000018    15696 ordinal.le
0.000019    15697 ordinal.has_le
0.000018    15698 rel_embedding.refl._proof_1
0.000018    15699 rel_embedding.refl
0.000019    15700 initial_seg.refl._proof_1
0.000018    15701 initial_seg.refl
0.000018    15702 ordinal.partial_order._match_1
0.000018    15703 ordinal.partial_order._proof_1
0.000019    15704 ordinal.partial_order._match_2
0.000018    15705 ordinal.partial_order._match_3
0.000018    15706 ordinal.partial_order._match_4
0.000019    15707 ordinal.partial_order._match_5
0.000018    15708 ordinal.partial_order._match_6
0.000018    15709 ordinal.partial_order._proof_2
0.000019    15710 principal_seg.init
0.000018    15711 principal_seg.has_coe_initial_seg._proof_1
0.000018    15712 principal_seg.has_coe_initial_seg
0.000019    15713 is_well_order.is_trans
0.000018    15714 is_well_order.is_irrefl
0.000018    15715 is_extensional
0.000018    15716 initial_seg.cases_on
0.000019    15717 is_extensional.ext
0.000018    15718 initial_seg.unique_of_extensional
0.000018    15719 is_extensional_of_is_strict_total_order'
0.000019    15720 is_well_order.is_extensional
0.000018    15721 initial_seg.subsingleton
0.000018    15722 initial_seg.eq
0.000018    15723 principal_seg.irrefl
0.000019    15724 ordinal.partial_order._match_7
0.000018    15725 ordinal.partial_order._match_8
0.000018    15726 initial_seg.lt_or_eq._proof_1
0.000018    15727 is_well_order.is_trichotomous
0.000019    15728 initial_seg.eq_or_principal
0.000018    15729 initial_seg.lt_or_eq._proof_2
0.000018    15730 initial_seg.lt_or_eq
0.000018    15731 ordinal.partial_order._match_9
0.000019    15732 ordinal.partial_order._match_10
0.000018    15733 ordinal.partial_order._match_11
0.165925    15734 ordinal.partial_order._proof_3
0.000090    15735 initial_seg.antisymm.aux
0.000023    15736 initial_seg.antisymm._proof_1
0.000016    15737 initial_seg.antisymm._proof_2
0.000015    15738 initial_seg.antisymm
0.000019    15739 ordinal.partial_order._match_12
0.000019    15740 ordinal.partial_order._match_13
0.000018    15741 ordinal.partial_order._match_14
0.000029    15742 ordinal.partial_order._match_15
0.000020    15743 ordinal.partial_order._proof_4
0.000019    15744 ordinal.partial_order
0.000018    15745 principal_seg.of_element._match_1
0.000018    15746 principal_seg.of_element._proof_1
0.000016    15747 principal_seg.of_element
0.000015    15748 ordinal.typein_lt_type
0.000017    15749 principal_seg.trans
0.000020    15750 principal_seg.cases_on
0.000016    15751 principal_seg.subsingleton
0.000017    15752 principal_seg.cod_restrict._match_1
0.000019    15753 principal_seg.cod_restrict._proof_1
0.000026    15754 principal_seg.cod_restrict
0.000023    15755 ordinal.typein_lt_typein
0.000016    15756 ordinal.wf
0.000018    15757 ordinal.min._match_1
0.000016    15758 ordinal.min
0.000018    15759 cardinal.nontrivial
0.000018    15760 cardinal.le_sum
0.000018    15761 nonempty_embedding_to_cardinal
0.000018    15762 embedding_to_cardinal
0.000018    15763 well_ordering_rel
0.000018    15764 has_lt.lt.is_strict_total_order'
0.000019    15765 cardinal.wo
0.000018    15766 well_ordering_rel.is_well_order
0.000018    15767 cardinal.ord._proof_1
0.000018    15768 cardinal.ord._proof_2
0.000018    15769 sum.lex
0.000026    15770 sum.lex.dcases_on
0.000021    15771 sum.lex_inl_inl
0.000018    15772 sum.lex_inr_inl
0.000019    15773 sum.lex_inr_inr
0.000018    15774 sum.lex_acc_inr
0.000018    15775 sum.lex_acc_inl
0.000018    15776 sum.lex_wf
0.000018    15777 sum.lex.is_well_order
0.000016    15778 ordinal.has_add._match_3
0.000015    15779 ordinal.has_add._match_4
0.000017    15780 rel_iso.cases_on
0.000019    15781 equiv.sum_congr_apply
0.000027    15782 sum.map_inl
0.000020    15783 sum.map_inr
0.000018    15784 rel_iso.sum_lex_congr._proof_1
0.000018    15785 rel_iso.sum_lex_congr
0.000018    15786 ordinal.has_add._match_5
0.000018    15787 ordinal.has_add._match_6
0.000019    15788 ordinal.has_add._match_7
0.000017    15789 ordinal.has_add._match_8
0.000018    15790 ordinal.has_add._match_9
0.000018    15791 ordinal.has_add._match_10
0.000018    15792 ordinal.has_add._proof_1
0.000018    15793 ordinal.has_add
0.000018    15794 trichotomous_of
0.000018    15795 empty_relation
0.000018    15796 empty_relation.is_well_order
0.000018    15797 subsingleton_pempty
0.000019    15798 ordinal.has_zero
0.000018    15799 equiv.sum_assoc_apply_in1
0.000018    15800 equiv.sum_assoc_apply_in2
0.000018    15801 equiv.sum_assoc_apply_in3
0.000018    15802 ordinal.add_monoid._match_1
0.000018    15803 ordinal.add_monoid._match_2
0.000018    15804 ordinal.add_monoid._match_3
0.000018    15805 ordinal.add_monoid._proof_1
0.000018    15806 ordinal.add_monoid._proof_2
0.000018    15807 ordinal.add_monoid._proof_3
0.000018    15808 ordinal.add_monoid._proof_4
0.000018    15809 ordinal.add_monoid._proof_5
0.000019    15810 ordinal.add_monoid._proof_6
0.000018    15811 ordinal.add_monoid._proof_7
0.000018    15812 ordinal.add_monoid
0.000018    15813 rel_embedding.collapse._proof_1
0.000018    15814 is_well_order.is_asymm
0.000018    15815 rel_embedding.collapse_F._proof_1
0.000018    15816 rel_embedding.collapse_F._proof_2
0.000018    15817 well_founded.not_lt_min
0.000018    15818 rel_embedding.collapse_F._proof_3
0.000018    15819 rel_embedding.collapse_F
0.000018    15820 rel_embedding.collapse_F.equations._eqn_1
0.000019    15821 well_founded.min_mem
0.000018    15822 rel_embedding.collapse_F.lt
0.000018    15823 rel_embedding.collapse._proof_2
0.000018    15824 rel_embedding.collapse_F.not_lt
0.000018    15825 rel_embedding.collapse._proof_3
0.000017    15826 rel_embedding.collapse
0.000019    15827 ordinal.type_le'
0.000018    15828 ordinal.add_le_add_right
0.000018    15829 ordinal.zero_le
0.000018    15830 ordinal.le_add_left
0.000018    15831 ordinal.add_le_add_left
0.000018    15832 ordinal.le_add_right
0.000018    15833 ordinal.le_total
0.000018    15834 ordinal.linear_order
0.000018    15835 ordinal.min_le
0.000018    15836 ordinal.min_eq
0.000018    15837 ordinal.le_min
0.000017    15838 rel_iso.preimage._proof_1
0.000019    15839 rel_iso.preimage
0.000018    15840 cardinal.ord._proof_3
0.000018    15841 cardinal.ord
0.000028    15842 cardinal.ord_eq
0.000020    15843 partial_order_of_SO._proof_1
0.000018    15844 partial_order_of_SO._match_1
0.000018    15845 partial_order_of_SO._proof_2
0.000018    15846 partial_order_of_SO._match_3
0.000018    15847 partial_order_of_SO._proof_3
0.000019    15848 partial_order_of_SO._match_2
0.000017    15849 partial_order_of_SO._proof_4
0.000019    15850 partial_order_of_SO
0.000017    15851 linear_order_of_STO'._proof_1
0.000018    15852 linear_order_of_STO'._proof_2
0.000018    15853 linear_order_of_STO'._proof_3
0.000018    15854 linear_order_of_STO'._proof_4
0.000018    15855 linear_order_of_STO'._match_1
0.000018    15856 linear_order_of_STO'._proof_5
0.231177    15857 linear_order_of_STO'._proof_6
0.000077    15858 linear_order_of_STO'._proof_7
0.000024    15859 linear_order_of_STO'._proof_8
0.000016    15860 linear_order_of_STO'._proof_9
0.000015    15861 asymm_of
0.000015    15862 linear_order_of_STO'._proof_10
0.000015    15863 linear_order_of_STO'
0.000015    15864 prod.lex
0.000016    15865 ordinal.card._match_1
0.000018    15866 ordinal.card._match_2
0.000018    15867 ordinal.card._match_3
0.000018    15868 ordinal.card._match_4
0.000016    15869 ordinal.card._proof_1
0.000017    15870 ordinal.card
0.000016    15871 ordinal.card_le_card
0.000015    15872 prod.lex.is_well_order._match_2
0.000014    15873 prod.lex.is_well_order._match_1
0.000018    15874 prod.lex.is_well_order._match_3
0.000015    15875 prod.lex.is_well_order._match_4
0.000016    15876 prod.lex.dcases_on
0.000014    15877 prod.lex.is_well_order._match_5
0.000018    15878 prod.lex.rec_on
0.000019    15879 prod.lex_accessible
0.000016    15880 prod.lex_wf
0.000017    15881 prod.lex.is_well_order
0.000021    15882 ordinal.has_lt.lt.is_well_order
0.000025    15883 le_of_forall_lt
0.000018    15884 ordinal.card_type
0.000018    15885 cardinal.ord_le_type
0.000018    15886 cardinal.ord_le
0.000018    15887 cardinal.lt_ord
0.000018    15888 ordinal.has_one
0.000018    15889 ordinal.succ
0.000018    15890 prod.lex_def
0.000018    15891 injective_of_increasing
0.000018    15892 ordinal.typein_injective
0.000018    15893 ordinal.typein_inj
0.000018    15894 equiv.subtype_prod_equiv_prod._proof_1
0.000018    15895 equiv.subtype_prod_equiv_prod._proof_2
0.000018    15896 equiv.subtype_prod_equiv_prod._proof_3
0.000018    15897 equiv.subtype_prod_equiv_prod._match_1
0.000018    15898 equiv.subtype_prod_equiv_prod._proof_4
0.000018    15899 equiv.subtype_prod_equiv_prod._match_2
0.000018    15900 equiv.subtype_prod_equiv_prod._proof_5
0.000018    15901 equiv.subtype_prod_equiv_prod
0.000018    15902 equiv.set.prod
0.000018    15903 equiv.set.insert._proof_1
0.000018    15904 equiv.set.insert._proof_2
0.000018    15905 equiv.set.singleton._match_1
0.000018    15906 equiv.set.singleton._proof_1
0.000018    15907 equiv.set.singleton._match_2
0.000018    15908 equiv.set.singleton._proof_2
0.000018    15909 equiv.set.singleton
0.000017    15910 equiv.set.insert
0.000019    15911 set.decidable_set_of
0.000018    15912 cardinal.mul_lt_omega
0.000018    15913 ordinal.is_limit
0.000017    15914 cardinal.omega_ne_zero
0.000018    15915 ordinal.card_zero
0.000018    15916 ordinal.le_zero
0.000018    15917 cardinal.card_ord
0.000018    15918 ordinal.card_one
0.000018    15919 ordinal.card_add
0.000018    15920 ordinal.lift._match_2
0.000018    15921 ordinal.lift._match_3
0.000018    15922 ordinal.lift._match_4
0.000018    15923 ordinal.lift._match_5
0.000017    15924 ordinal.lift._proof_1
0.000018    15925 ordinal.lift
0.000018    15926 nat.lt.is_well_order
0.000018    15927 ordinal.omega
0.000018    15928 ordinal.omin._match_1
0.000018    15929 ordinal.omin
0.000018    15930 ordinal.sub._proof_1
0.000017    15931 ordinal.sub
0.000018    15932 ordinal.has_sub
0.000018    15933 quotient.decidable_eq._proof_1
0.000018    15934 quotient.decidable_eq._match_1
0.000018    15935 quotient.decidable_eq
0.000019    15936 sum.inl_ne_inr
0.000017    15937 ordinal.lt_succ_self
0.000018    15938 ordinal.succ_le
0.000018    15939 ordinal.succ_lt_of_not_succ
0.000018    15940 ordinal.zero_or_succ_or_limit
0.000018    15941 ordinal.add_succ
0.000018    15942 ordinal.omin_mem
0.000018    15943 ordinal.le_add_sub
0.000018    15944 ordinal.le_omin
0.000017    15945 ordinal.omin_le
0.000018    15946 ordinal.sub_le
0.000018    15947 ordinal.lt_sub
0.000018    15948 ordinal.enum._match_1
0.000018    15949 ordinal.type_eq
0.000018    15950 principal_seg.top_eq
0.000018    15951 ordinal.enum._match_2
0.000018    15952 ordinal.enum._match_3
0.000018    15953 ordinal.enum._match_4
0.000017    15954 ordinal.enum._proof_1
0.000019    15955 ordinal.enum
0.000017    15956 ordinal.is_limit.pos
0.000019    15957 ordinal.enum_type
0.000017    15958 ordinal.enum_typein
0.000019    15959 ordinal.typein_enum
0.000017    15960 ordinal.add_le_of_limit
0.000019    15961 ordinal.add_sub_cancel_of_le
0.000017    15962 ordinal.omega.equations._eqn_1
0.000018    15963 ordinal.one_eq_type_unit
0.000018    15964 ordinal.lift_one
0.000018    15965 ordinal.one_eq_lift_type_unit
0.000018    15966 ordinal.lift_add
0.000018    15967 ordinal.lift_umax
0.000018    15968 ordinal.lift_type_le
0.000018    15969 ordinal.lift_le
0.000018    15970 ordinal.type_add
0.000018    15971 has_lt.lt.is_asymm
0.000018    15972 ordinal.one_add_omega
0.000018    15973 ordinal.one_add_of_omega_le
0.000018    15974 ordinal.lift_lt
0.000018    15975 ordinal.lift_id'
0.000018    15976 ordinal.lift_id
0.000016    15977 ordinal.lift_type_eq
0.000019    15978 ordinal.lift_down'
0.000018    15979 ordinal.lift_card
0.000018    15980 ordinal.lift_down
0.000018    15981 ordinal.lt_lift_iff
0.000018    15982 cardinal.lift_omega
0.000018    15983 cardinal.ord_omega
0.000018    15984 cardinal.ord_le_ord
0.000018    15985 cardinal.add_one_of_omega_le
0.000018    15986 ordinal.succ_lt_of_is_limit
0.000018    15987 ordinal.le_succ_of_is_limit
0.000018    15988 ordinal.card_nat
2.914271    15989 cardinal.ord_lt_ord
0.000076    15990 cardinal.ord_nat
0.000024    15991 ordinal.nat_le_card
0.000016    15992 ordinal.nat_lt_card
0.000015    15993 ordinal.card_le_nat
0.000015    15994 ordinal.card_eq_nat
0.000015    15995 ordinal.lt_omega
0.000014    15996 ordinal.nat_lt_omega
0.000015    15997 ordinal.omega_pos
0.000018    15998 ordinal.omega_ne_zero
0.000019    15999 ordinal.omega_is_limit
0.000018    16000 ordinal.succ.equations._eqn_1
0.000015    16001 ordinal.card_succ
0.000015    16002 cardinal.ord_is_limit
0.000015    16003 canonically_ordered_semiring.mul_le_mul_left'
0.000018    16004 cardinal.one_lt_omega
0.000018    16005 cardinal.mul_eq_self
0.000019    16006 canonically_ordered_semiring.mul_le_mul_right'
0.000015    16007 cardinal.mul_eq_max
0.000020    16008 linear_independent.repr_eq
0.000018    16009 linear_independent.repr_eq_single
0.000018    16010 is_basis.repr_eq_single
0.000018    16011 set.union_insert
0.000018    16012 set.insert_subset_insert
0.000019    16013 submodule.span_insert_eq_span
0.000018    16014 submodule.span_union
0.000018    16015 submodule.mem_sup
0.000018    16016 exists_comm
0.000018    16017 submodule.mem_span_insert
0.000017    16018 mem_span_insert_exchange
0.000019    16019 set.union_subset_union
0.000017    16020 exists_of_linear_independent_of_finite_span
0.000019    16021 exists_finite_card_le_of_finite_of_linear_independent_of_span
0.000017    16022 cardinal.nat_cast_inj
0.000019    16023 fintype.card_coe
0.000017    16024 cardinal.finset_card
0.000018    16025 is_basis.le_span
0.000018    16026 mk_eq_mk_of_basis
0.000018    16027 mk_eq_mk_of_basis'
0.000018    16028 is_basis.range
0.000018    16029 is_basis.mk_eq_dim''
0.000018    16030 is_basis.mk_range_eq_dim
0.000018    16031 is_basis.mk_eq_dim
0.000018    16032 set.finite.exists_finset_coe
0.000018    16033 submodule.fg_def
0.000018    16034 submodule.span_image
0.000018    16035 submodule.fg_map
0.000017    16036 is_noetherian.noetherian
0.000018    16037 set_like.coe_mono
0.000018    16038 set.image_subset_range
0.000018    16039 linear_map.map_le_range
0.000019    16040 submodule.map_comap_le
0.000018    16041 linear_map.map_comap_eq
0.000018    16042 linear_map.map_comap_eq_self
0.000018    16043 is_noetherian_of_surjective
0.000018    16044 set_like.coe_set_eq
0.000018    16045 set_like.ext'_iff
0.000018    16046 linear_map.range_coe
0.000018    16047 linear_map.range_eq_top
0.000018    16048 linear_equiv.range
0.000018    16049 is_noetherian_of_linear_equiv
0.000018    16050 submodule.restricted_module
0.000018    16051 is_noetherian_ring
0.000018    16052 is_noetherian_ring.to_is_noetherian
0.000018    16053 submodule.span_empty
0.000018    16054 submodule.fg_bot
0.000018    16055 or.by_cases.equations._eqn_1
0.000018    16056 finset.nonempty_of_sum_ne_zero
0.000019    16057 finset.sum_filter_ne_zero
0.000018    16058 finset.exists_ne_zero_of_sum_ne_zero
0.000018    16059 finsupp.support_sum
0.000018    16060 finset.mem_of_subset
0.000019    16061 finset.bUnion_mono
0.000018    16062 finset.bUnion_singleton
0.000018    16063 finsupp.map_domain_support
0.000018    16064 finsupp.supported_comap_lmap_domain
0.000019    16065 function.inv_fun_on_mem
0.000018    16066 finsupp.map_domain_comp
0.000018    16067 finsupp.lmap_domain_comp
0.000018    16068 finsupp.map_domain_congr
0.000018    16069 finsupp.map_domain_id
0.000019    16070 finsupp.lmap_domain_supported
0.000017    16071 submodule.fg_of_fg_map_of_fg_inf_ker
0.000019    16072 is_noetherian_prod._match_1
0.000017    16073 is_noetherian_prod
0.000018    16074 is_noetherian_pi
0.000016    16075 is_noetherian_of_fg_of_noetherian
0.000015    16076 ideal
0.000017    16077 submodule.is_principal
0.000018    16078 is_principal_ideal_ring
0.000018    16079 is_noetherian_ring_iff
0.000018    16080 submodule.is_principal.principal
0.000018    16081 is_principal_ideal_ring.principal
0.000019    16082 principal_ideal_ring.is_noetherian_ring
0.000017    16083 decidable.or_iff_not_and_not
0.000019    16084 or_iff_not_and_not
0.000018    16085 euclidean_domain.integral_domain._proof_1
0.000029    16086 euclidean_domain.integral_domain
0.000017    16087 ideal.span
0.000016    16088 ideal.mem_span_singleton'
0.000018    16089 ideal.mem_span_singleton
0.000018    16090 euclidean_domain.mod_eq_zero
0.000019    16091 ideal.add_mem
0.000018    16092 ideal.mul_mem_left
0.000018    16093 ideal.mul_mem_right
0.000016    16094 euclidean_domain.mod_eq_sub_mul_div
0.000017    16095 ideal.sub_mem
0.000018    16096 mod_mem_iff
0.000018    16097 euclidean_domain.to_principal_ideal_domain._match_1
0.000018    16098 euclidean_domain.r_well_founded
0.000018    16099 submodule.bot_coe
0.000018    16100 ideal.zero_mem
0.000018    16101 euclidean_domain.to_principal_ideal_domain
0.000018    16102 finite_dimensional.finite_dimensional_iff_dim_lt_omega
0.000018    16103 finsupp.lmap_domain_total
0.000018    16104 linear_map.ker_comp
0.000018    16105 finsupp.supported_univ
0.000018    16106 submodule.comap_bot
0.000018    16107 submodule.map_mono
0.000018    16108 submodule.map_inf_eq_map_inf_comap
0.000018    16109 linear_independent.map
1.343914    16110 linear_independent.map'
0.000079    16111 linear_map.ker_eq_bot_of_injective
0.000028    16112 linear_equiv.ker
0.000021    16113 linear_equiv.coe_coe
0.000015    16114 linear_equiv.is_basis
0.000015    16115 linear_equiv.lift_dim_eq
0.000016    16116 linear_equiv.dim_eq
0.000014    16117 dim_top
0.000027    16118 linear_independent.of_comp
0.000020    16119 linear_independent_span
0.000016    16120 submodule.subtype_eq_val
0.000017    16121 set_like.coe_eq_coe
0.000022    16122 is_basis_span
0.000025    16123 dim_span
0.000021    16124 dim_span_set
0.000018    16125 cardinal.mk_le_mk_of_subset
0.000016    16126 dim_span_le
0.000019    16127 finite_dimensional.iff_fg
0.000019    16128 finite_dimensional.of_fintype_basis
0.000018    16129 prod.fintype._match_1
0.000018    16130 prod.fintype._proof_1
0.000018    16131 prod.fintype
0.000016    16132 ite_smul
0.000015    16133 finset.sum_extend_by_zero
0.000015    16134 linear_independent_iff''
0.000018    16135 add_monoid_hom.add_comm_monoid._proof_1
0.000016    16136 add_monoid_hom.has_zero._proof_1
0.000017    16137 add_monoid_hom.has_zero._proof_2
0.000018    16138 add_monoid_hom.has_zero
0.000018    16139 add_monoid_hom.add_comm_monoid._proof_2
0.000019    16140 add_monoid_hom.add_comm_monoid._proof_3
0.000018    16141 add_monoid_hom.add_comm_monoid._proof_4
0.000018    16142 add_monoid_hom.add_comm_monoid._proof_5
0.000018    16143 add_monoid_hom.zero_apply
0.000018    16144 add_monoid_hom.add_comm_monoid._proof_6
0.000018    16145 add_monoid_hom.add_comm_monoid._proof_7
0.000018    16146 add_monoid_hom.add_comm_monoid._proof_8
0.000018    16147 add_monoid_hom.add_comm_monoid
0.000018    16148 add_monoid_hom.flip._proof_1
0.000018    16149 add_monoid_hom.flip._proof_2
0.000018    16150 add_monoid_hom.flip._proof_3
0.000018    16151 add_monoid_hom.flip._proof_4
0.000019    16152 add_monoid_hom.flip
0.000017    16153 const_smul_hom_apply
0.000019    16154 smul_add_hom._proof_1
0.000017    16155 smul_add_hom._proof_2
0.000018    16156 smul_add_hom
0.000018    16157 finset.sum_smul
0.000018    16158 finset.subset_product
0.000018    16159 linear_independent_smul
0.000018    16160 set.has_scalar
0.000018    16161 set.mem_smul
0.000018    16162 set.range_smul_range
0.000018    16163 submodule.restrict_scalars._proof_1
0.000018    16164 submodule.restrict_scalars._proof_2
0.000018    16165 submodule.restrict_scalars
0.000018    16166 submodule.smul_mem_span_smul_of_mem
0.000018    16167 submodule.smul_mem_span_smul
0.000018    16168 submodule.smul_mem_span_smul'
0.000015    16169 submodule.span_smul
0.000015    16170 submodule.restrict_scalars_top
0.000017    16171 submodule.restrict_scalars_injective
0.000018    16172 submodule.restrict_scalars_inj
0.000018    16173 is_basis.smul
0.000018    16174 finite_dimensional.trans
0.000018    16175 is_R_or_C.I
0.000018    16176 is_R_or_C.re
0.000018    16177 is_R_or_C.im
0.000018    16178 is_R_or_C.algebra_map_coe
0.000018    16179 is_R_or_C.algebra_map_eq_of_real
0.000017    16180 is_R_or_C.re_add_im_ax
0.000018    16181 is_R_or_C.re_add_im
0.000018    16182 finite_dimensional.is_R_or_C_to_real
0.000018    16183 cardinal.to_nat._proof_1
0.000018    16184 cardinal.to_nat._proof_2
0.000018    16185 cardinal.to_nat
0.000018    16186 finite_dimensional.findim
0.000018    16187 nnnorm_smul
0.000018    16188 nnreal.bot_eq_zero
0.000017    16189 nnreal.mul_sup
0.000018    16190 nnreal.mul_finset_sup
0.000018    16191 pi.semi_normed_space._proof_1
0.000018    16192 pi.semi_normed_space
0.000018    16193 pi.normed_space._proof_1
0.000018    16194 pi.normed_space
0.000018    16195 linear_equiv.to_continuous_linear_equiv._proof_1
0.000018    16196 linear_equiv.to_continuous_linear_equiv._proof_2
0.000017    16197 linear_equiv.to_continuous_linear_equiv._proof_3
0.000019    16198 linear_equiv.to_continuous_linear_equiv._proof_4
0.000017    16199 module_equiv_finsupp._proof_1
0.000018    16200 module_equiv_finsupp._proof_2
0.000018    16201 module_equiv_finsupp
0.000018    16202 is_basis.equiv_fun._proof_1
0.000018    16203 is_basis.equiv_fun._proof_2
0.000018    16204 finsupp.equiv_fun_on_fintype._proof_1
0.000018    16205 finsupp.equiv_fun_on_fintype._proof_2
0.000018    16206 finsupp.equiv_fun_on_fintype._proof_3
0.000018    16207 finsupp.equiv_fun_on_fintype
0.000018    16208 is_basis.equiv_fun._proof_3
0.000023    16209 is_basis.equiv_fun._proof_4
0.000024    16210 is_basis.equiv_fun
0.000019    16211 pi.add_zero_class._proof_1
0.000018    16212 pi.add_zero_class._proof_2
0.000018    16213 pi.add_zero_class
0.000019    16214 add_monoid_hom.apply._proof_1
0.000017    16215 add_monoid_hom.apply._proof_2
0.000018    16216 add_monoid_hom.apply
0.000018    16217 finset.sum_apply
0.000018    16218 fintype.sum_apply
0.000018    16219 mul_ite
0.000018    16220 mul_boole
0.000018    16221 pi_eq_sum_univ
0.000019    16222 linear_map.pi_apply_eq_sum_univ
0.000018    16223 continuous_list_sum
0.000018    16224 continuous_multiset_sum
0.000018    16225 continuous_finset_sum
0.000018    16226 continuous_infi_dom
0.000018    16227 continuous_apply
0.000018    16228 linear_map.continuous_on_pi
1.359511    16229 empty.cases_on
0.000075    16230 empty.elim._main
0.000024    16231 empty.elim
0.000015    16232 empty.fintype._proof_1
0.000015    16233 empty.fintype
0.000015    16234 fintype.card_empty
0.000015    16235 fintype.card_eq_zero_iff
0.000015    16236 linear_map.proj._proof_1
0.000014    16237 linear_map.proj._proof_2
0.000018    16238 linear_map.proj
0.000019    16239 normal_space
0.000016    16240 normal_space.to_t1_space
0.000017    16241 locally_finite
0.000016    16242 paracompact_space
0.000014    16243 set_coe.forall'
0.000018    16244 option.elim._main
0.000018    16245 option.elim
0.000018    16246 set.exists_range_iff'
0.000016    16247 set.Union_eq_univ_iff
0.000020    16248 paracompact_space.locally_finite_refinement
0.000018    16249 precise_refinement
0.000018    16250 option.forall
0.000018    16251 is_lub_supr
0.000016    16252 supr_le_iff
0.000015    16253 supr_option
0.000014    16254 set.Union_option
0.000018    16255 option.elim._main.equations._eqn_1
0.000019    16256 option.elim.equations._eqn_1
0.000018    16257 option.elim._main.equations._eqn_2
0.000018    16258 option.elim.equations._eqn_2
0.000018    16259 set.compl_subset_iff_union
0.000019    16260 set.subset_compl_comm
0.000018    16261 locally_finite.comp_injective
0.000017    16262 precise_refinement_set
0.000018    16263 locally_finite.is_closed_Union
0.000018    16264 interior_mem_nhds
0.000018    16265 set.subset_eq_empty
0.000018    16266 is_closed_empty
0.000016    16267 closure_empty
0.000015    16268 closure_empty_iff
0.000017    16269 closure_nonempty_iff
0.000018    16270 set.nonempty.of_closure
0.000018    16271 closure_inter_open
0.000018    16272 closure_inter_open'
0.000017    16273 locally_finite.closure
0.000019    16274 locally_finite.closure_Union
0.000017    16275 set.compl_Union
0.000019    16276 disjoint_compl_right
0.000017    16277 normal_of_paracompact_t2
0.000019    16278 eq_of_forall_edist_le
0.000017    16279 to_separated
0.000018    16280 strong_rec'._main._pack._wf_rec_mk_dec_tactic._aux_1
0.000018    16281 nat.strong_rec'._main._pack
0.000019    16282 nat.strong_rec'._main
0.000017    16283 nat.strong_rec'
0.000019    16284 nat.strong_rec_on'
0.000017    16285 nat.strong_rec_on'.equations._eqn_1
0.000019    16286 nat.strong_rec'._main._pack.equations._eqn_1
0.000018    16287 nat.strong_rec'._main.equations._eqn_1
0.000018    16288 nat.strong_rec'.equations._eqn_1
0.000018    16289 nat.strong_rec_on_beta'
0.000018    16290 emetric.nhds_basis_eball
0.000018    16291 emetric.mem_nhds_iff
0.000018    16292 emetric.is_open_iff
0.000018    16293 ennreal.has_sub
0.000018    16294 bot_lt_iff_ne_bot
0.000017    16295 ennreal.bot_lt_iff_ne_bot
0.000019    16296 ennreal.sub_eq_zero_of_le
0.000017    16297 ennreal.forall_ennreal
0.000019    16298 ennreal.le_coe_iff
0.000018    16299 ennreal.top_sub_coe
0.000018    16300 ennreal.sub_infty
0.000017    16301 nnreal.has_sub
0.000019    16302 nnreal.coe_sub
0.000017    16303 nnreal.sub_eq_zero
0.000019    16304 nnreal.sub_le_iff_le_add
0.000017    16305 ennreal.coe_sub
0.000018    16306 nnreal.sub_def
0.000018    16307 nnreal.coe_max
0.000019    16308 nnreal.coe_mk
0.000017    16309 linear_ordered_add_comm_monoid
0.000019    16310 linear_ordered_add_comm_monoid.le
0.000017    16311 linear_ordered_add_comm_monoid.lt
0.000019    16312 linear_ordered_add_comm_monoid.le_refl
0.000018    16313 linear_ordered_add_comm_monoid.le_trans
0.000018    16314 linear_ordered_add_comm_monoid.lt_iff_le_not_le
0.000018    16315 linear_ordered_add_comm_monoid.le_antisymm
0.000018    16316 linear_ordered_add_comm_monoid.le_total
0.000018    16317 linear_ordered_add_comm_monoid.decidable_le
0.000018    16318 linear_ordered_add_comm_monoid.decidable_eq
0.000018    16319 linear_ordered_add_comm_monoid.decidable_lt
0.000018    16320 linear_ordered_add_comm_monoid.to_linear_order
0.000018    16321 linear_ordered_cancel_add_comm_monoid
0.000018    16322 linear_ordered_cancel_add_comm_monoid.le
0.000018    16323 linear_ordered_cancel_add_comm_monoid.lt
0.000018    16324 linear_ordered_cancel_add_comm_monoid.le_refl
0.000018    16325 linear_ordered_cancel_add_comm_monoid.le_trans
0.000018    16326 linear_ordered_cancel_add_comm_monoid.lt_iff_le_not_le
0.000018    16327 linear_ordered_cancel_add_comm_monoid.le_antisymm
0.000018    16328 linear_ordered_cancel_add_comm_monoid.le_total
0.000018    16329 linear_ordered_cancel_add_comm_monoid.decidable_le
0.000018    16330 linear_ordered_cancel_add_comm_monoid.decidable_eq
0.000018    16331 linear_ordered_cancel_add_comm_monoid.decidable_lt
0.000019    16332 linear_ordered_cancel_add_comm_monoid.add
0.000018    16333 linear_ordered_cancel_add_comm_monoid.add_assoc
0.000018    16334 linear_ordered_cancel_add_comm_monoid.zero
0.000018    16335 linear_ordered_cancel_add_comm_monoid.zero_add
0.000025    16336 linear_ordered_cancel_add_comm_monoid.add_zero
0.000022    16337 linear_ordered_cancel_add_comm_monoid.nsmul
0.000018    16338 linear_ordered_cancel_add_comm_monoid.nsmul_zero'
0.955282    16339 linear_ordered_cancel_add_comm_monoid.nsmul_succ'
0.000076    16340 linear_ordered_cancel_add_comm_monoid.add_comm
0.000025    16341 linear_ordered_cancel_add_comm_monoid.add_left_cancel
0.000016    16342 linear_ordered_cancel_add_comm_monoid.add_le_add_left
0.000015    16343 linear_ordered_cancel_add_comm_monoid.lt_of_add_lt_add_left
0.000015    16344 linear_ordered_cancel_add_comm_monoid.to_linear_ordered_add_comm_monoid
0.000015    16345 linear_ordered_add_comm_group.to_linear_ordered_cancel_add_comm_monoid._proof_1
0.000015    16346 linear_ordered_add_comm_group.to_linear_ordered_cancel_add_comm_monoid._proof_2
0.000015    16347 linear_ordered_add_comm_monoid.lt_of_add_lt_add_left._default
0.000015    16348 linear_ordered_add_comm_group.to_linear_ordered_cancel_add_comm_monoid._proof_3
0.000014    16349 linear_ordered_add_comm_group.to_linear_ordered_cancel_add_comm_monoid
0.000018    16350 linear_ordered_cancel_add_comm_monoid.le_of_add_le_add_left
0.000018    16351 linear_ordered_cancel_add_comm_monoid.to_ordered_cancel_add_comm_monoid
0.000016    16352 monotone.add
0.000019    16353 monotone.add_const
0.000019    16354 max_add_add_right
0.000019    16355 nnreal.sub_add_eq_max
0.000018    16356 nnreal.sub_add_cancel_of_le
0.000018    16357 ennreal.sub_add_cancel_of_le
0.000018    16358 ennreal.sub_add_self_eq_max
0.000017    16359 ennreal.le_sub_add_self
0.000015    16360 ennreal.sub_le_iff_le_add
0.000018    16361 ennreal.sub_eq_zero_iff_le
0.000018    16362 ennreal.zero_lt_sub_iff_lt
0.000018    16363 emetric.mem_ball
0.000016    16364 emetric.ball_subset
0.000015    16365 ennreal.add_sub_cancel_of_le
0.000015    16366 emetric.exists_ball_subset_ball
0.000017    16367 emetric.is_open_ball
0.000016    16368 ennreal.inv_one
0.000017    16369 ennreal.top_mul_top
0.000018    16370 ennreal.top_pow
0.000018    16371 ennreal.coe_pow
0.000018    16372 ennreal.inv_pow
0.000018    16373 nat.cast_bit0
0.000018    16374 nat.cast_pow
0.000028    16375 nat.pow_lt_pow_succ
0.000021    16376 nat.lt_pow_self
0.000018    16377 nat.lt_two_pow
0.000018    16378 ennreal.exists_inv_two_pow_lt
0.000019    16379 ennreal.div_zero_iff
0.000018    16380 ennreal.div_pos_iff
0.000018    16381 gt.lt
0.000017    16382 emetric.ball_subset_ball
0.000018    16383 emetric.mem_ball_self
0.000018    16384 canonically_ordered_semiring.pow_pos
0.000018    16385 ennreal.pow_pos
0.000018    16386 ennreal.coe_bit0
0.000018    16387 ennreal.coe_two
0.000018    16388 ennreal.two_ne_top
0.000018    16389 uniformity_basis_edist_inv_two_pow
0.000018    16390 emetric.ball_mem_nhds
0.000018    16391 set.fintype_Union._proof_1
0.000017    16392 set.fintype_Union
0.000018    16393 set.finite_Union
0.000018    16394 set.finite.bUnion
0.000018    16395 set.subsingleton
0.000018    16396 set.subsingleton.eq_singleton_of_mem
0.000018    16397 set.subsingleton.eq_empty_or_singleton
0.000018    16398 set.subsingleton.induction_on
0.000018    16399 set.subsingleton.finite
0.000018    16400 ennreal.inv_le_inv
0.000018    16401 ennreal.one_le_coe_iff
0.000018    16402 ennreal.pow_le_pow
0.000018    16403 ennreal.le_inv_iff_le_inv
0.000018    16404 ennreal.one_le_inv
0.000018    16405 ennreal.pow_le_pow_of_le_one
0.000018    16406 ennreal.inv_le_iff_inv_le
0.000017    16407 ennreal.inv_le_one
0.000018    16408 ennreal.one_lt_two
0.000018    16409 _private.1549444657.ne_from_not_eq
0.000018    16410 ennreal.mul_inv_cancel
0.000018    16411 bit0_zero
0.000018    16412 ennreal.bit0_inj
0.000018    16413 ennreal.bit0_eq_zero_iff
0.000018    16414 ennreal.bit0_eq_top_iff
0.000017    16415 ennreal.one_ne_top
0.000018    16416 bit1.equations._eqn_1
0.000018    16417 ne.lt_or_lt
0.000018    16418 int.comm_semiring
0.000018    16419 add_neg_of_neg_of_nonpos
0.000018    16420 sub_nonpos_of_le
0.000018    16421 neg_nonpos_of_nonneg
0.000018    16422 int.add_one_le_iff
0.000017    16423 nat.cast_bit1
0.000018    16424 ennreal.coe_nat_mono
0.000018    16425 ennreal.coe_nat_le_coe_nat
0.000018    16426 zero_lt_mul_left
0.000018    16427 one_lt_bit1
0.000018    16428 norm_num.lt_one_bit1
0.000018    16429 norm_num.le_one_bit1
0.000018    16430 emetric.paracompact_space
0.000018    16431 emetric.normal_of_emetric
0.000018    16432 subspace
0.000018    16433 emetric.inf_edist
0.000017    16434 metric.inf_dist
0.000019    16435 lt_div_iff'
0.000018    16436 norm_num.inv_div_one
0.000018    16437 norm_num.div_eq
0.000018    16438 norm_num.clear_denom_mul
0.000018    16439 norm_num.clear_denom_simple_nat
0.000018    16440 norm_num.clear_denom_simple_div
0.000018    16441 metric.inf_dist.equations._eqn_1
0.000017    16442 binfi_le
0.000028    16443 emetric.inf_edist_le_edist_of_mem
0.000020    16444 metric.inf_edist_ne_top
0.000018    16445 metric.inf_dist_le_dist_of_mem
0.000016    16446 emetric.inf_edist.equations._eqn_1
0.000018    16447 emetric.exists_edist_lt_of_inf_edist_lt
0.000016    16448 ennreal.to_real_lt_to_real
0.000019    16449 ennreal.of_real_ne_top
0.000018    16450 nnreal.zero_le_coe
0.000016    16451 ennreal.to_real_nonneg
0.000019    16452 metric.inf_dist_nonneg
1.445614    16453 metric.exists_dist_lt_of_inf_dist_lt
0.000075    16454 le_mul_iff_one_le_right
0.000021    16455 mul_lt_iff_lt_one_right
0.000015    16456 infi_le_infi_of_subset
0.000016    16457 emetric.inf_edist_le_inf_edist_of_subset
0.000014    16458 ennreal.half_pos
0.000015    16459 emetric.mem_closure_iff
0.000016    16460 ennreal.div_self
0.000019    16461 ennreal.zero_lt_two
0.000019    16462 ennreal.two_ne_zero
0.000015    16463 ennreal.inv_two_add_inv_two
0.000016    16464 ennreal.add_halves
0.000017    16465 emetric.inf_edist_closure
0.000016    16466 emetric.inf_edist_zero_of_mem
0.000020    16467 emetric.mem_closure_iff_inf_edist_zero
0.000018    16468 metric.mem_closure_iff_inf_dist_zero
0.000016    16469 metric.mem_iff_inf_dist_zero_of_closed
0.000017    16470 norm_num.clear_denom_lt
0.000016    16471 norm_num.ne_zero_of_pos
0.000015    16472 riesz_lemma
0.000015    16473 zero_le_mul_left
0.000018    16474 zero_le_bit0
0.000018    16475 nat.cast_two
0.000019    16476 two_ne_zero'
0.000018    16477 add_self_eq_zero
0.000018    16478 bit0_eq_zero
0.000018    16479 sub_eq_zero_of_eq
0.000018    16480 linear_map.continuous_iff_is_closed_ker
0.000019    16481 finite_dimensional.findim.equations._eqn_1
0.000018    16482 cardinal.to_nat_apply_of_lt_omega
0.000018    16483 cardinal.cast_to_nat_of_lt_omega
0.000018    16484 finite_dimensional.dim_lt_omega
0.000018    16485 finite_dimensional.findim_eq_dim
0.000018    16486 set.card_range_of_injective
0.000019    16487 finite_dimensional.dim_eq_card_basis
0.000018    16488 finite_dimensional.findim_eq_card_basis
0.000018    16489 submodule.quotient_rel._proof_1
0.000018    16490 submodule.quotient_rel
0.000016    16491 submodule.quotient
0.000017    16492 quotient.lift_on₂'
0.000018    16493 submodule.quotient.mk
0.000018    16494 quotient.eq'
0.000018    16495 submodule.quotient.eq
0.000018    16496 submodule.quotient.has_add._proof_1
0.000018    16497 submodule.quotient.has_add
0.000018    16498 submodule.quotient.quot_mk_eq_mk
0.000018    16499 submodule.quotient.mk_add
0.000019    16500 submodule.quotient.add_comm_group._proof_1
0.000018    16501 submodule.quotient.has_zero
0.000018    16502 submodule.quotient.mk_zero
0.000018    16503 submodule.quotient.add_comm_group._proof_2
0.000018    16504 submodule.quotient.add_comm_group._proof_3
0.000018    16505 quotient.lift_on'
0.000068    16506 add_comm_monoid.nat_is_scalar_tower
0.000020    16507 submodule.quotient.add_comm_group._proof_4
0.000018    16508 submodule.quotient.add_comm_group._proof_5
0.000018    16509 submodule.quotient.add_comm_group._proof_6
0.000018    16510 submodule.quotient.has_neg._proof_1
0.000018    16511 submodule.quotient.has_neg
0.000018    16512 submodule.quotient.has_sub._proof_1
0.000016    16513 submodule.quotient.has_sub
0.000018    16514 submodule.quotient.mk_sub
0.000019    16515 submodule.quotient.mk_neg
0.000018    16516 submodule.quotient.add_comm_group._proof_7
0.000018    16517 submodule.quotient.add_comm_group._proof_8
0.000018    16518 submodule.quotient.add_comm_group._proof_9
0.000018    16519 submodule.quotient.add_comm_group
0.000019    16520 semimodule.core
0.000018    16521 semimodule.core.to_has_scalar
0.000018    16522 semimodule.core.one_smul
0.000016    16523 semimodule.core.mul_smul
0.000015    16524 semimodule.core.smul_add
0.000018    16525 add_left_eq_self
0.000018    16526 add_monoid_hom.mk'._proof_1
0.000019    16527 add_monoid_hom.mk'
0.000017    16528 semimodule.of_core._proof_1
0.000019    16529 semimodule.core.add_smul
0.000017    16530 semimodule.of_core._proof_2
0.000016    16531 semimodule.of_core
0.000015    16532 submodule.quotient.has_scalar._proof_1
0.000018    16533 submodule.quotient.has_scalar
0.000018    16534 submodule.quotient.mk_smul
0.000018    16535 submodule.quotient.semimodule._proof_1
0.000018    16536 submodule.quotient.semimodule._proof_2
0.000018    16537 submodule.quotient.semimodule._proof_3
0.000018    16538 submodule.quotient.semimodule._proof_4
0.000018    16539 submodule.quotient.semimodule
0.000018    16540 linear_equiv.finite_dimensional
0.000017    16541 linear_equiv.findim_eq
0.000018    16542 submodule.liftq._proof_1
0.000018    16543 submodule.liftq._proof_2
0.000018    16544 submodule.liftq._proof_3
0.000018    16545 submodule.liftq
0.000018    16546 linear_map.quot_ker_equiv_range._proof_1
0.000018    16547 submodule.mkq._proof_1
0.000018    16548 submodule.mkq._proof_2
0.000018    16549 submodule.mkq
0.000018    16550 submodule.comap_comp
0.000017    16551 submodule.liftq_mkq
0.000018    16552 submodule.comap_liftq
0.000018    16553 submodule.ker_liftq
0.000018    16554 submodule.mkq_apply
0.000018    16555 submodule.quotient.mk_eq_zero
0.000018    16556 submodule.ker_mkq
0.000018    16557 submodule.mkq_map_self
0.000018    16558 submodule.ker_liftq_eq_bot
0.000018    16559 linear_map.quot_ker_equiv_range._proof_2
0.000017    16560 linear_equiv.of_eq._proof_1
0.000018    16561 linear_equiv.of_eq._proof_2
0.000018    16562 linear_equiv.of_eq._proof_3
0.000019    16563 linear_equiv.of_eq._proof_4
0.000017    16564 linear_equiv.of_eq._proof_5
1.731587    16565 linear_equiv.of_eq
0.000075    16566 submodule.map_liftq
0.000025    16567 submodule.range_liftq
0.000015    16568 linear_map.quot_ker_equiv_range._proof_3
0.000016    16569 linear_map.quot_ker_equiv_range
0.000015    16570 add_submonoid.prod._proof_1
0.000014    16571 add_submonoid.prod._proof_2
0.000015    16572 add_submonoid.prod
0.000015    16573 submodule.prod._proof_1
0.000018    16574 submodule.prod._proof_2
0.000018    16575 submodule.prod._proof_3
0.000018    16576 submodule.prod
0.000016    16577 submodule.mem_prod
0.000018    16578 prod.zero_eq_mk
0.000016    16579 submodule.prod_bot
0.000018    16580 submodule.prod_comap_inl
0.000018    16581 submodule.ker_inl
0.000018    16582 submodule.prod_comap_inr
0.000016    16583 submodule.ker_inr
0.000018    16584 set.range_comp_subset_range
0.000019    16585 linear_map.is_compl_range_inl_inr
0.000016    16586 linear_independent_inl_union_inr'
0.000017    16587 linear_map.sup_range_inl_inr
0.000019    16588 is_basis_inl_union_inr
0.000018    16589 cardinal.lift_mk
0.000018    16590 cardinal.add_def
0.000018    16591 dim_prod
0.000017    16592 linear_equiv.map_add
0.000019    16593 linear_equiv.prod._proof_1
0.000027    16594 linear_equiv.map_smul
0.000021    16595 linear_equiv.prod._proof_2
0.000018    16596 linear_equiv.prod._proof_3
0.000019    16597 linear_equiv.prod._proof_4
0.000018    16598 linear_equiv.prod
0.000018    16599 submodule.le_comap_map
0.000018    16600 submodule.comap_mono
0.000018    16601 linear_map.comap_map_eq
0.000018    16602 linear_map.map_le_map_iff
0.000018    16603 linear_map.map_le_map_iff'
0.000018    16604 submodule.ker_subtype
0.000019    16605 submodule.disjoint_iff_comap_eq_bot
0.000018    16606 submodule.quotient_equiv_of_is_compl._proof_1
0.000018    16607 linear_map.range_comp
0.000018    16608 linear_map.map_eq_top_iff
0.000018    16609 submodule.range_mkq
0.000018    16610 submodule.map_mkq_eq_top
0.000018    16611 submodule.quotient_equiv_of_is_compl._proof_2
0.000018    16612 submodule.quotient_equiv_of_is_compl
0.000018    16613 linear_equiv.refl._proof_1
0.000019    16614 linear_equiv.refl._proof_2
0.000018    16615 linear_equiv.refl._proof_3
0.000018    16616 linear_equiv.refl._proof_4
0.000018    16617 linear_equiv.refl
0.000018    16618 prod.mk_eq_zero
0.000018    16619 submodule.mk_eq_zero
0.000018    16620 add_subgroup.neg_mem_iff
0.000018    16621 submodule.neg_mem_iff
0.000018    16622 submodule.prod_equiv_of_is_compl._proof_1
0.000018    16623 set_like.exists
0.000016    16624 submodule.sup_eq_range
0.000015    16625 submodule.prod_equiv_of_is_compl._proof_2
0.000017    16626 submodule.prod_equiv_of_is_compl
0.000019    16627 submodule.mem_sup'
0.000018    16628 linear_map.is_compl_of_proj
0.000018    16629 linear_map.ext_iff
0.000018    16630 linear_independent.image_subtype
0.000018    16631 is_basis.constr
0.000019    16632 linear_map.ext_on
0.000018    16633 linear_map.ext_on_range
0.000018    16634 is_basis.ext
0.000018    16635 is_basis.constr_apply
0.000018    16636 constr_basis
0.000018    16637 linear_map.exists_left_inverse_of_injective
0.000019    16638 submodule.exists_is_compl
0.000018    16639 quotient_prod_linear_equiv
0.000018    16640 dim_quotient_add_dim
0.000018    16641 self_le_add_right
0.000018    16642 dim_quotient_le
0.000018    16643 finite_dimensional.finite_dimensional_quotient
0.000018    16644 self_le_add_left
0.000018    16645 dim_submodule_le
0.000018    16646 finite_dimensional.finite_dimensional_submodule
0.000021    16647 submodule.findim_quotient_add_findim
0.000026    16648 linear_map.findim_range_add_findim_ker
0.000020    16649 exists_eq
0.000018    16650 is_basis_singleton_one
0.000018    16651 punit.unique._proof_1
0.000018    16652 punit.unique
0.000018    16653 cardinal.mk_punit
0.000018    16654 dim_of_field
0.000018    16655 finite_dimensional.findim_of_field
0.000019    16656 submodule.findim_le
0.000018    16657 finite_dimensional.finite_dimensional_self
0.000018    16658 zero_lt_iff
0.000018    16659 cauchy.mono'
0.000018    16660 tendsto_nhds_unique'
0.000018    16661 is_complete.is_closed
0.000019    16662 uniform_inducing
0.000017    16663 complete_univ
0.000019    16664 complete_space_of_is_complete_univ
0.000018    16665 complete_space_iff_is_complete_univ
0.000018    16666 cauchy.map
0.000018    16667 uniform_inducing.comap_uniformity
0.000018    16668 uniform_inducing.uniform_continuous
0.000018    16669 uniform_inducing.inducing
0.000018    16670 is_complete_of_complete_image
0.000018    16671 uniform_embedding
0.000018    16672 uniform_embedding.to_uniform_inducing
0.000018    16673 uniform_embedding_subtype_val
0.000018    16674 uniform_embedding_subtype_coe
0.000018    16675 is_complete.complete_space_coe
0.000018    16676 filter.prod_comap_comap_eq
0.000018    16677 cauchy.comap
0.000019    16678 cauchy.comap'
0.000018    16679 uniform_inducing.comp
0.000018    16680 filter.comap_ne_bot_iff
0.000018    16681 filter.comap_ne_bot_iff_frequently
0.000018    16682 filter.ne_bot.comap_of_range_mem
0.000018    16683 filter.comap_le_comap_iff
0.000018    16684 is_complete_image_iff
4.774920    16685 complete_space_iff_is_complete_range
0.000078    16686 complete_space_coe_iff_is_complete
0.000024    16687 complete_space_congr
0.000015    16688 antilipschitz_with
0.000015    16689 ennreal.mul_pos
0.000016    16690 antilipschitz_with.comap_uniformity_le
0.000015    16691 filter.tendsto.le_comap
0.000015    16692 antilipschitz_with.uniform_inducing
0.000014    16693 antilipschitz_with.injective
0.000015    16694 antilipschitz_with.uniform_embedding
0.000018    16695 lipschitz_with.to_right_inverse
0.000024    16696 continuous_linear_equiv.lipschitz
0.000024    16697 continuous_linear_equiv.antilipschitz
0.000016    16698 continuous_linear_equiv.uniform_embedding
0.000020    16699 linear_equiv.uniform_embedding
0.000019    16700 submodule.semi_normed_group._proof_1
0.000018    16701 submodule.semi_normed_group
0.000016    16702 subtype.metric_space._proof_1
0.000020    16703 subtype.metric_space
0.000018    16704 submodule.normed_group._proof_1
0.000018    16705 submodule.normed_group
0.000016    16706 submodule.semi_normed_space._proof_1
0.000018    16707 submodule.semi_normed_space
0.000018    16708 submodule.normed_space._proof_1
0.000019    16709 submodule.normed_space
0.000018    16710 Pi.uniform_continuous_proj
0.000018    16711 nhds_pi
0.000018    16712 Pi.complete
0.000018    16713 fintype.subtype_card
0.000018    16714 fintype.card_of_finset
0.000018    16715 fintype.card_of_finset'
0.000018    16716 set.card_image_of_inj_on
0.000016    16717 set.card_image_of_injective
0.000015    16718 finite_dimensional.eq_top_of_findim_eq
0.000017    16719 pi_semi_norm_le_iff
0.000018    16720 continuous_equiv_fun_basis
0.000022    16721 linear_map.continuous_of_finite_dimensional
0.000026    16722 linear_equiv.to_continuous_linear_equiv._proof_5
0.000018    16723 linear_equiv.to_continuous_linear_equiv._proof_6
0.000019    16724 linear_equiv.to_continuous_linear_equiv
0.000018    16725 nonempty.map
0.000018    16726 linear_equiv_of_is_basis._proof_1
0.000018    16727 linear_equiv_of_is_basis._proof_2
0.000019    16728 linear_equiv_of_is_basis._proof_3
0.000018    16729 linear_equiv_of_is_basis._proof_4
0.000018    16730 linear_equiv_of_is_basis
0.000018    16731 nonempty_linear_equiv_of_lift_dim_eq
0.000018    16732 finite_dimensional.nonempty_linear_equiv_of_findim_eq
0.000019    16733 finite_dimensional.linear_equiv.of_findim_eq
0.000018    16734 continuous_linear_equiv.of_findim_eq
0.000018    16735 pi.single
0.000018    16736 pi.single_zero
0.000018    16737 zero_hom.single._proof_1
0.000018    16738 zero_hom.single
0.000019    16739 add_monoid_hom.single._proof_1
0.000018    16740 pi.single_eq_same
0.000018    16741 pi.single_eq_of_ne
0.000018    16742 pi.apply_single₂
0.000018    16743 pi.single_op₂
0.000018    16744 add_monoid_hom.single._proof_2
0.000019    16745 add_monoid_hom.single
0.000018    16746 linear_map.single._proof_1
0.000018    16747 pi.single.equations._eqn_1
0.000019    16748 function.apply_update
0.000018    16749 pi.apply_single
0.000018    16750 pi.single_op
0.000018    16751 pi.single_smul
0.000019    16752 linear_map.single._proof_2
0.000018    16753 linear_map.single
0.000019    16754 linear_map.std_basis
0.000018    16755 linear_independent.of_subtype_range
0.000018    16756 sigma.eq
0.000018    16757 linear_independent.ne_zero
0.000018    16758 supr_singleton
0.000019    16759 sigma.exists
0.000018    16760 set.range_sigma_eq_Union_range
0.000018    16761 supr_le_supr_const
0.000018    16762 set.Union_subset_Union_const
0.000019    16763 linear_independent_empty_type
0.000018    16764 not_nonempty_iff_imp_false
0.000018    16765 disjoint.mono_right
0.000018    16766 linear_independent_Union_finite_subtype
0.000018    16767 linear_independent_Union_finite
0.000019    16768 linear_map.std_basis_apply
0.000018    16769 linear_map.std_basis_same
0.000018    16770 linear_map.ker_std_basis
0.000018    16771 submodule.comap_infi
0.000019    16772 function.eval
0.000018    16773 linear_map.coe_proj
0.000018    16774 function.eval_apply
0.000019    16775 linear_map.std_basis_ne
0.000018    16776 linear_map.proj_std_basis_ne
0.000018    16777 linear_map.supr_range_std_basis_le_infi_ker_proj
0.000019    16778 linear_map.proj_apply
0.000018    16779 linear_map.disjoint_std_basis_std_basis
0.000018    16780 pi.has_bot
0.000018    16781 pi.semilattice_inf_bot._proof_1
0.000019    16782 pi.semilattice_inf_bot._proof_2
0.000018    16783 pi.semilattice_inf_bot._proof_3
0.000018    16784 pi.semilattice_inf_bot._proof_4
0.000018    16785 pi.semilattice_inf_bot._proof_5
0.000018    16786 pi.semilattice_inf_bot._proof_6
0.000019    16787 pi.semilattice_inf_bot._proof_7
0.000018    16788 pi.semilattice_inf_bot._proof_8
0.000018    16789 pi.semilattice_inf_bot._proof_9
0.000018    16790 pi.has_inf
0.000019    16791 pi.semilattice_inf_bot._proof_10
0.000018    16792 pi.semilattice_inf_bot._proof_11
0.000018    16793 pi.semilattice_inf_bot._proof_12
0.000018    16794 pi.semilattice_inf_bot
0.000018    16795 set.disjoint_iff
0.000018    16796 set.disjoint_singleton_left
0.000019    16797 pi.linear_independent_std_basis
1.721129    16798 eq_top_mono
0.000075    16799 supr_pos
0.000025    16800 submodule.mem_supr_of_mem
0.000015    16801 linear_map.infi_ker_proj_le_supr_range_std_basis
0.000015    16802 linear_map.supr_range_std_basis
0.000015    16803 pi.is_basis_std_basis
0.000015    16804 dim_pi
0.000015    16805 cardinal.mk_prod
0.000015    16806 cardinal.sum_const_eq_lift_mul
0.000017    16807 dim_fun_eq_lift_mul
0.000018    16808 dim_fun'
0.000016    16809 finite_dimensional.findim_fintype_fun_eq_card
0.000015    16810 finite_dimensional.findim_fin_fun
0.000018    16811 real.decidable_le
0.000018    16812 metric.closed_ball_subset_closed_ball
0.000018    16813 is_closed.mem_of_nhds_within_ne_bot
0.000016    16814 is_compact.inter_right
0.000019    16815 metric.is_closed_ball
0.000020    16816 proper_space_of_compact_closed_ball_of_le
0.000018    16817 set.image_preimage_eq
0.000018    16818 function.surjective.image_preimage
0.000018    16819 filter.comap_inf_principal_ne_bot_of_image_mem
0.000016    16820 filter.tendsto.ne_bot
0.000018    16821 filter.tendsto.inf
0.000016    16822 is_compact.image_of_continuous_on
0.000018    16823 is_compact.image
0.000018    16824 metric.bounded
0.000018    16825 diagonal_eq_range_diagonal_map
0.000018    16826 prod_subset_compl_diagonal_iff_disjoint
0.000018    16827 nhds_contain_boxes
0.000018    16828 set.bInter_empty
0.000017    16829 is_open_bInter
0.000018    16830 nhds_contain_boxes_of_compact
0.000018    16831 set.preimage_swap_prod
0.000018    16832 set.image_swap_prod
0.000018    16833 nhds_contain_boxes.symm
0.000018    16834 set.prod_singleton
0.000018    16835 nhds_contain_boxes_of_singleton
0.000018    16836 generalized_tube_lemma
0.000018    16837 compact_compact_separated
0.000018    16838 cluster_pt.of_le_nhds'
0.000018    16839 filter.principal_singleton
0.000018    16840 compact_singleton
0.000018    16841 is_compact.is_closed
0.000018    16842 metric.bounded.subset
0.000018    16843 metric.bounded_empty
0.000018    16844 supr_union
0.000018    16845 set.bUnion_union
0.000018    16846 set.bUnion_singleton
0.000018    16847 set.bUnion_insert
0.000018    16848 metric.bounded_iff_mem_bounded
0.000018    16849 dist_triangle_right
0.000018    16850 metric.bounded_closed_ball
0.000018    16851 metric.bounded_iff_subset_ball
0.000018    16852 metric.bounded_union
0.000018    16853 metric.bounded_bUnion
0.000018    16854 metric.ball_subset_closed_ball
0.000018    16855 metric.bounded_ball
0.000018    16856 set.Union_subtype
0.000018    16857 set.preimage_range
0.000018    16858 subtype.coe_preimage_self
0.000018    16859 finset.supr_coe
0.000018    16860 finset.supr_finset_image
0.000018    16861 finset.set_bUnion_finset_image
0.000018    16862 is_compact.elim_finite_subcover_image
0.000018    16863 finite_cover_balls_of_compact
0.000018    16864 metric.bounded_of_compact
0.000018    16865 is_compact.bounded
0.000018    16866 compact_empty
0.000018    16867 compact_of_is_closed_subset
0.000018    16868 metric.compact_iff_closed_bounded
0.000019    16869 emetric.diam
0.000017    16870 metric.diam
0.000019    16871 antilipschitz_with.equations._eqn_1
0.000018    16872 antilipschitz_with_iff_le_mul_dist
0.000018    16873 antilipschitz_with.le_mul_dist
0.000018    16874 metric.diam.equations._eqn_1
0.000018    16875 emetric.diam.equations._eqn_1
0.000018    16876 emetric.diam_le_iff
0.000018    16877 emetric.edist_le_of_diam_le
0.000018    16878 emetric.edist_le_diam_of_mem
0.000018    16879 metric.dist_le_diam_of_mem'
0.000018    16880 ne_top_of_le_ne_top
0.000018    16881 emetric.diam_le
0.000018    16882 metric.ediam_le_of_forall_dist_le
0.000018    16883 metric.bounded_iff_ediam_ne_top
0.000018    16884 metric.bounded.ediam_ne_top
0.000018    16885 metric.dist_le_diam_of_mem
0.000019    16886 antilipschitz_with.bounded_preimage
0.000018    16887 antilipschitz_with.proper_space
0.000018    16888 closed_ball_pi
0.000018    16889 ultrafilter.of_compl_not_mem_iff._proof_1
0.000018    16890 ultrafilter.of_compl_not_mem_iff._proof_2
0.000018    16891 ultrafilter.of_compl_not_mem_iff
0.000018    16892 ultrafilter.map._proof_1
0.000018    16893 ultrafilter.map
0.000019    16894 compact_pi_infinite
0.000017    16895 pi_proper_space
0.000019    16896 continuous_linear_equiv.continuous
0.000018    16897 continuous_linear_equiv.surjective
0.000018    16898 finite_dimensional.proper
0.000018    16899 sub_le
0.000018    16900 closed_ball_Icc
0.000018    16901 set.Icc.equations._eqn_1
0.000019    16902 set.Icc_self
0.000016    16903 Ioc_mem_nhds_within_Iic
0.000017    16904 ultrafilter.diff_mem_iff
0.000018    16905 set.Icc_subset_Icc_union_Ioc
0.000018    16906 set.Ioc_subset_Ioc
0.000018    16907 set.Ioc_subset_Ioc_left
0.000019    16908 set.mem_Ioc
0.000017    16909 mem_nhds_within_Ici_iff_exists_mem_Ioc_Ico_subset
0.000019    16910 and.right_comm
0.000018    16911 set.Icc_diff_left
0.000018    16912 set.union_eq_self_of_subset_right
0.000017    16913 set.Ioc_union_left
0.000019    16914 set.Ico_union_right
0.000018    16915 set.union_subset_union_right
0.000018    16916 set.Ioc_subset_Icc_self
0.000018    16917 set.Icc_subset_Icc_union_Icc
3.514594    16918 set.Icc_eq_empty
0.000080    16919 compact_Icc
0.000024    16920 real.proper_space
0.000015    16921 finite_dimensional.proper_real
0.000016    16922 finite_dimensional.proper_is_R_or_C
0.000015    16923 real.is_R_or_C._proof_1
0.000015    16924 or.intro_left
0.000015    16925 real.is_R_or_C._proof_2
0.000015    16926 add_monoid_hom.to_fun_eq_coe
0.000015    16927 add_monoid_hom.id_apply
0.000018    16928 real.is_R_or_C._proof_3
0.000019    16929 real.is_R_or_C._proof_4
0.000016    16930 real.is_R_or_C._proof_5
0.000015    16931 real.is_R_or_C._proof_6
0.000015    16932 real.is_R_or_C._proof_7
0.000015    16933 real.is_R_or_C._proof_8
0.000017    16934 real.is_R_or_C._proof_9
0.000018    16935 real.is_R_or_C._proof_10
0.000017    16936 pow_two
0.000014    16937 real.is_R_or_C._proof_11
0.000015    16938 real.is_R_or_C._proof_12
0.000019    16939 real.is_R_or_C._proof_13
0.000018    16940 real.is_R_or_C._proof_14
0.000016    16941 real.is_R_or_C
0.000017    16942 fin.tail
0.000016    16943 fin_succ_equiv._proof_1
0.000018    16944 fin_succ_equiv._proof_2
0.000018    16945 option.cases_on'_none
0.000019    16946 option.cases_on'_some
0.000016    16947 nat.lt.step
0.000019    16948 fin.cast_succ_mk
0.000015    16949 subtype.mk_lt_mk
0.000018    16950 fin.pred._main._proof_1
0.000018    16951 fin.pred._main.equations._eqn_1
0.000018    16952 fin.pred.equations._eqn_1
0.000019    16953 fin.succ_above_pred_above
0.000018    16954 fin_succ_equiv'._proof_1
0.000018    16955 fin.pred_above_succ_above
0.000018    16956 fin_succ_equiv'._proof_2
0.000019    16957 fin_succ_equiv'
0.000018    16958 fin_succ_equiv
0.000018    16959 equiv.option_equiv_sum_punit._match_1
0.000018    16960 equiv.option_equiv_sum_punit._match_2
0.000018    16961 equiv.option_equiv_sum_punit._proof_1
0.000018    16962 equiv.option_equiv_sum_punit._proof_2
0.000019    16963 equiv.option_equiv_sum_punit
0.000018    16964 set.range_unique
0.000018    16965 linear_independent_option'
0.000018    16966 option.cases_on'_none_coe
0.000018    16967 linear_independent_option
0.000019    16968 fin_succ_equiv'.equations._eqn_1
0.000018    16969 fin_succ_equiv_symm'_some_above
0.000018    16970 fin_succ_equiv_symm_some
0.000018    16971 fin_succ_equiv_symm_coe
0.000019    16972 fin_succ_equiv_symm_none
0.000018    16973 linear_independent_fin_cons
0.000018    16974 fin.tail.equations._eqn_1
0.000018    16975 fin.cons_self_tail
0.000019    16976 linear_independent_fin_succ
0.000018    16977 linear_independent_fin2
0.000018    16978 complex.I_ne_zero
0.000018    16979 matrix.vec_head
0.000018    16980 matrix.cons_val_one
0.000019    16981 matrix.head_cons
0.000018    16982 fin.exists_fin_succ
0.000018    16983 set.singleton_union
0.000018    16984 matrix.range_cons
0.000018    16985 set.range_eq_empty
0.000018    16986 matrix.range_empty
0.000019    16987 set.is_lawful_singleton
0.000018    16988 complex.is_basis_one_I
0.000018    16989 complex.finite_dimensional
0.000018    16990 complex.is_R_or_C._proof_1
0.000019    16991 complex.is_R_or_C._proof_2
0.000018    16992 complex.I_mul_I
0.000018    16993 complex.is_R_or_C._proof_3
0.000018    16994 complex.is_R_or_C._proof_4
0.000019    16995 complex.is_R_or_C._proof_5
0.000018    16996 complex.is_R_or_C._proof_6
0.000019    16997 complex.is_R_or_C._proof_7
0.000018    16998 complex.is_R_or_C._proof_8
0.000018    16999 complex.is_R_or_C._proof_9
0.000018    17000 complex.is_R_or_C._proof_10
0.000016    17001 complex.conj_I
0.000015    17002 complex.is_R_or_C._proof_11
0.000017    17003 complex.norm_sq_eq_abs
0.000019    17004 complex.norm_sq_apply
0.000016    17005 complex.is_R_or_C._proof_12
0.000015    17006 complex.is_R_or_C._proof_13
0.000018    17007 complex.is_R_or_C._proof_14
0.000018    17008 complex.div_I
0.000018    17009 complex.is_R_or_C
0.000018    17010 has_ftaylor_series_up_to
0.000019    17011 times_cont_diff
0.000018    17012 times_cont_diff_on
0.000018    17013 continuous_linear_map.uncurry_left._proof_1
0.000018    17014 continuous_linear_map.uncurry_left._proof_2
0.000019    17015 linear_map.uncurry_left._proof_1
0.000018    17016 linear_map.uncurry_left._proof_2
0.000018    17017 fin.tail_update_zero
0.000018    17018 fin.tail_update_succ
0.000018    17019 linear_map.uncurry_left._proof_3
0.000019    17020 multilinear_map.smul_apply
0.000018    17021 linear_map.uncurry_left._proof_4
0.000019    17022 linear_map.uncurry_left
0.000018    17023 continuous_linear_map.uncurry_left._proof_3
0.000018    17024 continuous_linear_map.uncurry_left._proof_4
0.000019    17025 continuous_linear_map.uncurry_left._proof_5
0.000018    17026 continuous_linear_map.uncurry_left._proof_6
0.000018    17027 continuous_multilinear_map.to_multilinear_map_linear._proof_1
0.000018    17028 continuous_multilinear_map.to_multilinear_map_linear._proof_2
0.000019    17029 continuous_multilinear_map.to_multilinear_map_linear
0.000018    17030 continuous_linear_map.uncurry_left._proof_7
0.000018    17031 continuous_linear_map.uncurry_left._proof_8
0.000018    17032 continuous_linear_map.norm_map_tail_le
1.985179    17033 continuous_linear_map.uncurry_left._proof_9
0.000075    17034 continuous_linear_map.uncurry_left
0.000025    17035 fderiv_within
0.000015    17036 iterated_fderiv_within._proof_1
0.000015    17037 iterated_fderiv_within
0.000015    17038 ftaylor_series_within
0.000015    17039 has_ftaylor_series_up_to.zero_eq
0.000015    17040 has_ftaylor_series_up_to.fderiv
0.000015    17041 has_ftaylor_series_up_to.cont
0.000018    17042 has_ftaylor_series_up_to_on_univ_iff
0.000018    17043 unique_diff_on
0.000016    17044 ftaylor_series_within.equations._eqn_1
0.000018    17045 iterated_fderiv_within_zero_apply
0.000016    17046 with_top.add_one_le_of_lt
0.000015    17047 iterated_fderiv_within_succ_apply_left
0.000015    17048 differentiable_within_at
0.000017    17049 differentiable_within_at.has_fderiv_within_at
0.000018    17050 has_fderiv_within_at.differentiable_within_at
0.000016    17051 has_fderiv_within_at.fderiv_within
0.000018    17052 has_fderiv_within_at.congr_of_eventually_eq
0.000018    17053 fderiv_within.equations._eqn_1
0.000016    17054 fderiv_within_zero_of_not_differentiable_within_at
0.000017    17055 differentiable_within_at.congr_of_eventually_eq
0.000019    17056 filter.eventually_eq.fderiv_within_eq
0.000016    17057 fderiv_within_congr
0.000015    17058 fderiv_within_subset
0.000014    17059 dense.mono
0.000018    17060 tangent_cone_mono_nhds
0.000015    17061 unique_diff_within_at.mono_nhds
0.000018    17062 unique_diff_within_at_congr
0.000018    17063 unique_diff_within_at_inter
0.000018    17064 unique_diff_within_at.inter
0.000018    17065 differentiable_within_at.equations._eqn_1
0.000018    17066 differentiable_within_at_inter
0.000018    17067 fderiv_within_inter
0.000019    17068 iterated_fderiv_within_inter_open
0.000018    17069 unique_diff_on.inter
0.000018    17070 iterated_fderiv_within_inter'
0.000018    17071 iterated_fderiv_within_inter
0.000018    17072 has_ftaylor_series_up_to_on.zero_eq'
0.000018    17073 iterated_fderiv_within_zero_eq_comp
0.000018    17074 continuous_multilinear_curry_left_equiv._proof_1
0.000018    17075 continuous_multilinear_curry_left_equiv._proof_2
0.000018    17076 continuous_multilinear_curry_left_equiv._proof_3
0.000018    17077 continuous_multilinear_curry_left_equiv._proof_4
0.000019    17078 continuous_multilinear_curry_left_equiv._proof_5
0.000018    17079 continuous_multilinear_curry_left_equiv._proof_6
0.000018    17080 continuous_multilinear_curry_left_equiv._proof_7
0.000015    17081 continuous_multilinear_curry_left_equiv._proof_8
0.000015    17082 continuous_multilinear_map.curry_left_apply
0.000017    17083 continuous_linear_map.uncurry_left_apply
0.000019    17084 fin.tail_cons
0.000018    17085 continuous_linear_map.curry_uncurry_left
0.000018    17086 linear_map.uncurry_left_apply
0.000018    17087 multilinear_map.curry_left_apply
0.000018    17088 multilinear_map.uncurry_curry_left
0.000018    17089 continuous_multilinear_map.uncurry_curry_left
0.000019    17090 continuous_multilinear_curry_left_equiv._proof_9
0.000018    17091 continuous_multilinear_curry_left_equiv._proof_10
0.000018    17092 continuous_multilinear_curry_left_equiv._proof_11
0.000018    17093 continuous_multilinear_curry_left_equiv
0.000018    17094 iterated_fderiv_within_succ_eq_comp_left
0.000018    17095 function.comp_apply
0.000018    17096 has_ftaylor_series_up_to_on.eq_ftaylor_series_of_unique_diff_on
0.000019    17097 has_ftaylor_series_up_to_on.mono
0.000018    17098 continuous_on_of_locally_continuous_on
0.000018    17099 filter.eventually_eq.symm
0.000018    17100 eventually_eq_nhds_within_of_eq_on
0.000018    17101 set.eq_on.eventually_eq_nhds_within
0.000018    17102 continuous_on.congr_mono
0.000019    17103 continuous_on.congr
0.000018    17104 times_cont_diff_on.ftaylor_series_within
0.000018    17105 unique_diff_on_univ
0.000018    17106 has_ftaylor_series_up_to_on.of_le
0.000018    17107 has_ftaylor_series_up_to.has_ftaylor_series_up_to_on
0.000018    17108 times_cont_diff_on_univ
0.000018    17109 times_cont_diff_on.equations._eqn_1
0.000018    17110 times_cont_diff_at.equations._eqn_1
0.000019    17111 times_cont_diff_iff_times_cont_diff_at
0.000018    17112 times_cont_diff.times_cont_diff_at
0.000018    17113 times_cont_diff_within_at.of_le
0.000018    17114 times_cont_diff_on.of_le
0.000018    17115 times_cont_diff_on_iff_forall_nat_le
0.000018    17116 times_cont_diff_on_top
0.000018    17117 times_cont_diff_on_all_iff_nat
0.000018    17118 times_cont_diff_all_iff_nat
0.000018    17119 continuous_within_at.mono_of_mem
0.000019    17120 continuous_on.continuous_within_at
0.000018    17121 inducing.tendsto_nhds_iff
0.000018    17122 inducing.continuous_iff
0.000018    17123 inducing.continuous_on_iff
0.000018    17124 isometry.antilipschitz
0.000018    17125 isometry.uniform_inducing
0.000018    17126 isometry.comp_continuous_on_iff
0.000018    17127 linear_isometry_equiv.comp_continuous_on_iff
8.567054    17128 has_ftaylor_series_up_to_on.continuous_on
0.000075    17129 nhds_within_singleton
0.000025    17130 nhds_within_insert
0.000015    17131 mem_nhds_within_insert
0.000015    17132 times_cont_diff_within_at.continuous_within_at
0.000015    17133 times_cont_diff_on.continuous_on
0.000015    17134 set.eq_on.symm
0.000015    17135 continuous_on_congr
0.000015    17136 has_ftaylor_series_up_to_on_zero_iff
0.000021    17137 times_cont_diff_on_zero
0.000018    17138 times_cont_diff_zero
0.000016    17139 homeomorph.surjective
0.000018    17140 homeomorph.range_coe
0.000016    17141 homeomorph.map_nhds_eq
0.000018    17142 add_units.neg_add_cancel_left
0.000018    17143 add_units.add_neg_cancel_left
0.000018    17144 add_units.add_left
0.000016    17145 equiv.add_left
0.000019    17146 homeomorph.add_left._proof_1
0.000018    17147 homeomorph.add_left._proof_2
0.000018    17148 homeomorph.add_left._proof_3
0.000019    17149 homeomorph.add_left._proof_4
0.000015    17150 homeomorph.add_left
0.000015    17151 map_add_left_nhds
0.000015    17152 map_add_left_nhds_zero
0.000018    17153 asymptotics.is_O_with_map
0.000018    17154 asymptotics.is_o_map
0.000018    17155 has_fderiv_at_iff_is_o_nhds_zero
0.000019    17156 has_deriv_at_iff_is_o_nhds_zero
0.000018    17157 cau_seq.const_lim_zero
0.000018    17158 cau_seq.const_equiv
0.000018    17159 cau_seq.eq_lim_of_const_equiv
0.000018    17160 mul_lt_mul''
0.000019    17161 cau_seq.mul_lim_zero_left
0.000018    17162 cau_seq.lim_mul_lim
0.000018    17163 cau_seq.lim_eq_of_equiv_const
0.000018    17164 cau_seq.lim_eq_lim_of_equiv
0.000016    17165 cau_seq.cauchy₂
0.000015    17166 abv_sum_le_sum_abv
0.000017    17167 sum_range_sub_sum_range
0.000018    17168 mul_lt_mul_right
0.000028    17169 lt_add_of_pos_left
0.000021    17170 norm_num.bit0_mul
0.000018    17171 norm_num.mul_bit0'
0.000018    17172 norm_num.mul_bit0_bit0
0.000018    17173 finset.sum_sigma'
0.000019    17174 nat.sub_lt_sub_right_iff
0.000017    17175 nat.lt_sub_right_of_add_lt
0.000018    17176 nat.lt_sub_left_of_add_lt
0.000018    17177 nat.lt_sub_left_iff_add_lt
0.000018    17178 nat.lt_sub_right_iff_add_lt
0.000018    17179 sum_range_diag_flip
0.000018    17180 cauchy_product
0.000018    17181 nat.choose._main
0.000018    17182 nat.choose
0.000018    17183 finset.sum_range_succ
0.000018    17184 nat.choose._main.equations._eqn_1
0.000018    17185 nat.choose.equations._eqn_1
0.000017    17186 nat.choose._main.equations._eqn_4
0.000018    17187 nat.choose.equations._eqn_4
0.000018    17188 nat.choose_zero_succ
0.000018    17189 nat.choose_succ_succ
0.000018    17190 nat.choose_eq_zero_of_lt
0.000018    17191 nat.choose_self
0.000018    17192 nat.choose_zero_right
0.000018    17193 nat.choose_succ_self
0.000018    17194 commute.add_pow
0.000018    17195 add_pow
0.000017    17196 nat.factorial_zero
0.000018    17197 nat.factorial_one
0.000018    17198 nat.choose_mul_factorial_mul_factorial
0.000018    17199 char_zero_of_inj_zero
0.000018    17200 complex.char_zero_complex
0.000018    17201 nat.choose_pos
0.000018    17202 complex.exp_add
0.000018    17203 norm_num.add_pos_neg_neg
0.000018    17204 norm_num.add_neg_pos_neg
0.000018    17205 finset.range_one
0.000018    17206 cau_seq.lim_const
0.000018    17207 complex.exp.equations._eqn_1
0.000018    17208 cau_seq.lim_neg
0.000018    17209 cau_seq.lim_add
0.000018    17210 is_absolute_value.sub_abv_le_abv_sub
0.000019    17211 is_absolute_value.abs_abv_sub_le_abv_sub
0.000027    17212 complex.abs_abs_sub_le_abs_sub
0.000021    17213 complex.is_cau_seq_abs
0.000018    17214 complex.cau_seq_abs._proof_1
0.000018    17215 complex.cau_seq_abs
0.000018    17216 complex.lim_abs
0.000018    17217 cau_seq.const_le
0.000018    17218 cau_seq.le_of_eq_of_le
0.000018    17219 cau_seq.lim_le
0.000018    17220 cau_seq.le_of_exists
0.000018    17221 div_le_div_right
0.000018    17222 nat.factorial_pos
0.000018    17223 mul_le_one
0.000018    17224 pow_le_one
0.000018    17225 nat.factorial_mul_pow_le_factorial
0.000019    17226 geom_sum_def
0.000018    17227 geom_sum_inv
0.000018    17228 complex.sum_div_factorial_le
0.000018    17229 complex.exp_bound
0.000018    17230 norm_num.nat_succ_eq
0.000018    17231 norm_num.bit0_succ
0.000018    17232 norm_num.nat_cast_bit1
0.000018    17233 norm_num.nat_cast_one
0.000018    17234 norm_num.nat_cast_bit0
0.000018    17235 le_of_mul_le_mul_right
0.000018    17236 norm_num.clear_denom_le
0.000018    17237 norm_num.lt_bit1_bit0
0.000018    17238 norm_num.le_bit1_bit0
0.000018    17239 norm_num.sle_one_bit0
0.000018    17240 pow_bit0
0.000018    17241 pow_bit0_nonneg
0.000018    17242 pow_two_nonneg
0.000018    17243 complex.abs_exp_sub_one_sub_id_le
0.000018    17244 continuous_pow
0.000018    17245 asymptotics.is_o_pow_pow
0.000030    17246 asymptotics.is_o_pow_id
0.000019    17247 complex.has_deriv_at_exp
0.000018    17248 complex.differentiable_exp
0.000019    17249 complex.continuous_exp
0.000019    17250 fderiv
0.000018    17251 deriv
0.000018    17252 differentiable_on
0.000018    17253 deriv_within
0.000019    17254 differentiable_within_at.mono
0.000017    17255 has_ftaylor_series_up_to_on.differentiable_on
0.000019    17256 times_cont_diff_within_at.differentiable_within_at'
3.599696    17257 times_cont_diff_within_at.differentiable_within_at
0.000078    17258 times_cont_diff_on.differentiable_on
0.000072    17259 formal_multilinear_series.shift._proof_1
0.000018    17260 formal_multilinear_series.shift
0.000015    17261 continuous_multilinear_curry_right_equiv'._proof_1
0.000015    17262 continuous_multilinear_curry_right_equiv'._proof_3
0.000021    17263 continuous_multilinear_curry_right_equiv'._proof_2
0.000016    17264 continuous_multilinear_curry_right_equiv'
0.000015    17265 fin.cast_succ_fin_succ
0.000017    17266 fin.succ_last
0.000016    17267 fin.cons_snoc_eq_snoc_cons
0.000020    17268 nat.sub_le_left_iff_le_add
0.000018    17269 nat.sub_le_right_iff_le_add
0.000018    17270 nat.pred_le_iff
0.000019    17271 differentiable_within_at.continuous_within_at
0.000015    17272 differentiable_on.continuous_on
0.000018    17273 has_ftaylor_series_up_to_on_succ_iff_right
0.000018    17274 times_cont_diff_within_at_nat
0.000018    17275 formal_multilinear_series.unshift._proof_1
0.000018    17276 formal_multilinear_series.unshift._proof_2
0.000018    17277 formal_multilinear_series.unshift._main
0.000018    17278 formal_multilinear_series.unshift
0.000018    17279 has_ftaylor_series_up_to_on.congr
0.000018    17280 times_cont_diff_within_at_succ_iff_has_fderiv_within_at
0.000018    17281 times_cont_diff_within_at.congr_of_eventually_eq
0.000018    17282 times_cont_diff_within_at.congr_of_eventually_eq'
0.000018    17283 insert_mem_nhds_within_insert
0.000018    17284 times_cont_diff_within_at.mono_of_mem
0.000018    17285 times_cont_diff_within_at.congr_nhds
0.000017    17286 times_cont_diff_within_at_congr_nhds
0.000018    17287 times_cont_diff_within_at_inter'
0.000018    17288 times_cont_diff_within_at.mono
0.000018    17289 filter.eventually_of_mem
0.000018    17290 filter.eventually_eq_of_mem
0.000018    17291 times_cont_diff_on_succ_iff_fderiv_within
0.000018    17292 linear_map.comp_multilinear_map._proof_1
0.000018    17293 linear_map.comp_multilinear_map._proof_2
0.000018    17294 linear_map.comp_multilinear_map
0.000018    17295 continuous_linear_map.comp_continuous_multilinear_map._proof_1
0.000018    17296 continuous_linear_map.comp_continuous_multilinear_map._proof_2
0.000018    17297 continuous_linear_map.comp_continuous_multilinear_map._proof_3
0.000018    17298 continuous_linear_map.comp_continuous_multilinear_map
0.000018    17299 continuous_linear_map.comp_continuous_multilinear_mapL._proof_1
0.000018    17300 continuous_linear_map.comp_continuous_multilinear_mapL._proof_2
0.000018    17301 continuous_linear_map.comp_continuous_multilinear_mapL._proof_3
0.000018    17302 continuous_linear_map.comp_continuous_multilinear_mapL._proof_4
0.000018    17303 linear_map.mk_continuous₂._proof_1
0.000017    17304 linear_map.mk_continuous₂._proof_2
0.000019    17305 linear_map.mk_continuous₂._proof_3
0.000018    17306 linear_map.mk_continuous₂._proof_4
0.000018    17307 continuous_linear_map.to_semi_normed_space
0.000018    17308 linear_map.mk_continuous₂._proof_5
0.000018    17309 linear_map.mk_continuous_apply
0.000018    17310 linear_map.mk_continuous₂._proof_6
0.000018    17311 linear_map.mk_continuous₂._proof_7
0.000017    17312 linear_map.mk_continuous_norm_le'
0.000019    17313 monotone_mul_right_of_nonneg
0.000017    17314 max_mul_of_nonneg
0.000018    17315 linear_map.mk_continuous₂._proof_8
0.000018    17316 linear_map.mk_continuous₂
0.000018    17317 continuous_linear_map.comp_continuous_multilinear_mapL._proof_5
0.000018    17318 continuous_linear_map.comp_continuous_multilinear_mapL._proof_6
0.000018    17319 continuous_linear_map.comp_continuous_multilinear_mapL._proof_7
0.000018    17320 linear_map.mk₂._proof_1
0.000018    17321 linear_map.mk₂'._proof_1
0.000018    17322 linear_map.mk₂'._proof_2
0.000018    17323 linear_map.mk₂'._proof_3
0.000018    17324 linear_map.mk₂'
0.000018    17325 linear_map.mk₂._proof_2
0.000018    17326 linear_map.mk₂
0.000017    17327 continuous_linear_map.comp_continuous_multilinear_mapL._proof_8
0.000019    17328 continuous_linear_map.comp_continuous_multilinear_mapL._proof_9
0.000017    17329 continuous_linear_map.comp_continuous_multilinear_mapL._proof_10
0.000018    17330 continuous_linear_map.comp_continuous_multilinear_map_coe
0.000018    17331 continuous_multilinear_map.smul_apply
0.000018    17332 continuous_linear_map.comp_continuous_multilinear_mapL._proof_11
0.000018    17333 continuous_linear_map.le_op_norm_of_le
0.000016    17334 continuous_linear_map.norm_comp_continuous_multilinear_map_le
0.000017    17335 continuous_linear_map.comp_continuous_multilinear_mapL._proof_12
0.000018    17336 continuous_linear_map.comp_continuous_multilinear_mapL
2.086354    17337 has_ftaylor_series_up_to_on.continuous_linear_map_comp
0.000077    17338 times_cont_diff_within_at.continuous_linear_map_comp
0.000025    17339 continuous_linear_equiv.comp_times_cont_diff_within_at_iff
0.000015    17340 continuous_linear_equiv.comp_times_cont_diff_on_iff
0.000016    17341 continuous_linear_equiv.self_comp_symm
0.000014    17342 continuous_within_at.preimage_mem_nhds_within'
0.000015    17343 multilinear_map.comp_linear_map._proof_1
0.000015    17344 multilinear_map.comp_linear_map._proof_2
0.000015    17345 multilinear_map.comp_linear_map
0.000018    17346 continuous_multilinear_map.comp_continuous_linear_map._proof_1
0.000085    17347 continuous_multilinear_map.comp_continuous_linear_map._proof_2
0.000018    17348 continuous_infi_rng
0.000016    17349 continuous_pi
0.000015    17350 continuous_multilinear_map.comp_continuous_linear_map._proof_3
0.000014    17351 continuous_multilinear_map.comp_continuous_linear_map
0.000015    17352 is_linear_map.map_add
0.000015    17353 is_linear_map.map_smul
0.000014    17354 is_linear_map.mk'
0.000015    17355 is_bounded_linear_map.to_is_linear_map
0.000015    17356 is_bounded_linear_map.to_linear_map._proof_1
0.000015    17357 is_bounded_linear_map.to_linear_map
0.000014    17358 is_bounded_linear_map.to_continuous_linear_map._proof_1
0.000015    17359 is_bounded_linear_map.to_continuous_linear_map._proof_2
0.000015    17360 is_bounded_linear_map.to_continuous_linear_map._match_1
0.000015    17361 is_bounded_linear_map.to_continuous_linear_map._proof_3
0.000017    17362 is_bounded_linear_map.to_continuous_linear_map
0.000015    17363 is_bounded_linear_map_continuous_multilinear_map_comp_linear
0.000014    17364 fin.comp_cons
0.000014    17365 is_bounded_linear_map.has_fderiv_at_filter
0.000014    17366 is_bounded_linear_map.has_fderiv_at
0.000014    17367 is_bounded_linear_map.dcases_on
0.000014    17368 tendsto_norm_sub_self
0.000014    17369 is_bounded_linear_map.tendsto
0.000014    17370 is_bounded_linear_map.continuous
0.000014    17371 has_ftaylor_series_up_to_on.comp_continuous_linear_map
0.000014    17372 times_cont_diff_within_at.comp_continuous_linear_map
0.000014    17373 times_cont_diff_on.comp_continuous_linear_map
0.000014    17374 continuous_linear_equiv.times_cont_diff_on_comp_iff
0.000014    17375 with_top.nat_induction
0.000014    17376 times_cont_diff_on_succ_iff_has_fderiv_within_at
0.000015    17377 continuous_within_at_inter'
0.000014    17378 times_cont_diff_on.mono
0.000014    17379 times_cont_diff.times_cont_diff_on
0.000014    17380 times_cont_diff.of_le
0.000014    17381 differentiable_on.equations._eqn_1
0.000014    17382 differentiable_at.equations._eqn_1
0.000014    17383 differentiable_within_at_univ
0.000014    17384 differentiable_on_univ
0.000014    17385 differentiable_at.has_fderiv_at
0.000014    17386 fderiv.equations._eqn_1
0.000014    17387 fderiv_zero_of_not_differentiable_at
0.000015    17388 fderiv_within_univ
0.000014    17389 times_cont_diff_on_top_iff_fderiv_within
0.000014    17390 times_cont_diff_top_iff_fderiv
0.000014    17391 is_bounded_bilinear_map.differentiable_at
0.000014    17392 is_bounded_bilinear_map.differentiable
0.000014    17393 has_fderiv_at.fderiv
0.000014    17394 is_bounded_bilinear_map.fderiv
0.000014    17395 is_bounded_linear_map.differentiable_at
0.000014    17396 is_bounded_linear_map.differentiable
0.000014    17397 is_bounded_linear_map.fderiv
0.000014    17398 has_fderiv_at_const
0.000014    17399 differentiable_at_const
0.000014    17400 differentiable_const
0.000014    17401 fderiv_const_apply
0.000014    17402 fderiv_const
0.000014    17403 iterated_fderiv._proof_1
0.000014    17404 iterated_fderiv
0.000014    17405 times_cont_diff_on.continuous_on_iterated_fderiv_within
0.000014    17406 times_cont_diff_on.differentiable_on_iterated_fderiv_within
0.000014    17407 times_cont_diff_on_of_continuous_on_differentiable_on
0.000015    17408 times_cont_diff_on_iff_continuous_on_differentiable_on
0.000013    17409 iterated_fderiv_zero_apply
0.000014    17410 iterated_fderiv_succ_apply_left
0.000015    17411 iterated_fderiv_within_univ
0.000014    17412 times_cont_diff_iff_continuous_differentiable
0.000013    17413 times_cont_diff_of_differentiable_iterated_fderiv
0.000015    17414 iterated_fderiv_within_zero_fun
0.000013    17415 times_cont_diff_zero_fun
0.000014    17416 times_cont_diff_const
0.000014    17417 is_bounded_linear_map.times_cont_diff
0.000014    17418 is_bounded_bilinear_map.times_cont_diff
0.000014    17419 continuous_linear_map.op_norm_comp_le
0.000014    17420 is_bounded_bilinear_map_comp
0.000014    17421 multilinear_map.prod._proof_1
0.000015    17422 multilinear_map.prod._proof_2
0.000014    17423 multilinear_map.prod
0.000014    17424 continuous_multilinear_map.prod._proof_1
0.000014    17425 continuous_multilinear_map.prod._proof_2
0.000014    17426 continuous_multilinear_map.prod._proof_3
9.462687    17427 continuous_multilinear_map.prod
0.000076    17428 continuous_multilinear_map.prodL._proof_1
0.000024    17429 continuous_multilinear_map.prodL._proof_2
0.000066    17430 continuous_multilinear_map.prodL._proof_3
0.000018    17431 continuous_multilinear_map.prodL._proof_4
0.000015    17432 continuous_multilinear_map.prodL._proof_5
0.000019    17433 continuous_multilinear_map.prodL._proof_6
0.000018    17434 continuous_multilinear_map.prodL._proof_7
0.000018    17435 continuous_multilinear_map.prodL._proof_8
0.000016    17436 continuous_linear_map.fst
0.000015    17437 continuous_linear_map.snd
0.000015    17438 continuous_multilinear_map.prodL._proof_9
0.000018    17439 continuous_multilinear_map.prodL._proof_10
0.000016    17440 continuous_multilinear_map.prod_apply
0.000017    17441 prod.norm_def
0.000016    17442 continuous_multilinear_map.op_norm_prod
0.000015    17443 continuous_multilinear_map.prodL._proof_11
0.000015    17444 continuous_multilinear_map.prodL
0.000017    17445 linear_isometry_equiv.has_fderiv_at
0.000019    17446 has_ftaylor_series_up_to_on.prod
0.000018    17447 times_cont_diff_within_at.prod
0.000016    17448 times_cont_diff_on.prod
0.000017    17449 _private.2939904581.times_cont_diff_on.comp_same_univ
0.000016    17450 times_cont_diff_on.comp
0.000019    17451 times_cont_diff.comp_times_cont_diff_on
0.000016    17452 is_bounded_bilinear_map.is_bounded_linear_map_left
0.000017    17453 deriv_within.equations._eqn_1
0.000019    17454 is_bounded_bilinear_map.is_bounded_linear_map_right
0.000018    17455 has_continuous_mul.has_continuous_smul
0.000018    17456 continuous_linear_map.norm_smul_right_apply
0.000018    17457 is_bounded_bilinear_map_smul_right
0.000018    17458 times_cont_diff_on_succ_iff_deriv_within
0.000018    17459 unique_diff_within_at_of_mem_nhds
0.000019    17460 is_open.unique_diff_within_at
0.000018    17461 is_open.unique_diff_on
0.000018    17462 times_cont_diff_within_at.congr
0.000016    17463 times_cont_diff_on.congr
0.000018    17464 times_cont_diff_on_congr
0.000018    17465 fderiv_within_of_mem_nhds
0.000018    17466 fderiv_within_of_open
0.000019    17467 deriv_within_of_open
0.000018    17468 times_cont_diff_on_succ_iff_deriv_of_open
0.000018    17469 times_cont_diff_succ_iff_deriv
0.000018    17470 continuous_linear_map.ext_ring_iff
0.000018    17471 continuous_linear_map.smul_right_one_eq_iff
0.000018    17472 has_deriv_at.unique
0.000018    17473 deriv.equations._eqn_1
0.000019    17474 differentiable_at.has_deriv_at
0.000017    17475 has_deriv_at.deriv
0.000016    17476 complex.deriv_exp
0.000015    17477 complex.times_cont_diff_exp
0.000015    17478 complex.has_strict_deriv_at_exp
0.000017    17479 has_strict_deriv_at.cexp
0.000019    17480 has_strict_fderiv_at_id
0.000018    17481 has_strict_deriv_at_id
0.000018    17482 continuous_linear_map.has_strict_fderiv_at
0.000018    17483 has_strict_fderiv_at.neg
0.000018    17484 has_strict_deriv_at.neg
0.000016    17485 complex.has_strict_deriv_at_cos
0.000015    17486 complex.has_deriv_at_cos
0.000017    17487 real.has_deriv_at_cos
0.000018    17488 real.differentiable_cos
0.000018    17489 real.continuous_cos
0.000018    17490 real.continuous_on_cos
0.000018    17491 eq_zero_of_neg_eq
0.000019    17492 complex.conj.equations._eqn_1
0.000017    17493 ring_hom.coe_mk
0.000019    17494 complex.conj_of_real
0.000017    17495 complex.eq_conj_iff_real
0.000018    17496 complex.eq_conj_iff_re
0.000018    17497 complex.cosh
0.000018    17498 complex.two_cosh
0.000018    17499 complex.two_cos
0.000018    17500 complex.cosh_mul_I
0.000018    17501 complex.conj_neg_I
0.000018    17502 complex.cosh.equations._eqn_1
0.000018    17503 ring_hom.map_sub
0.000018    17504 complex.is_cau_seq_conj
0.000018    17505 complex.cau_seq_conj
0.000018    17506 cau_seq.mk_to_fun
0.000018    17507 complex.cau_seq_conj.equations._eqn_1
0.000018    17508 complex.lim_aux.equations._eqn_1
0.000018    17509 complex.cau_seq_re.equations._eqn_1
0.000018    17510 complex.cau_seq_im.equations._eqn_1
0.000018    17511 complex.lim_eq_lim_im_add_lim_re
0.000018    17512 complex.lim_re
0.000018    17513 complex.lim_im
0.000018    17514 complex.lim_conj
0.000018    17515 complex.exp_conj
0.000018    17516 complex.conj_bit0
0.000018    17517 complex.cosh_conj
0.000018    17518 complex.abs_zero
0.000018    17519 complex.exp_zero
0.000018    17520 complex.exp_ne_zero
0.000018    17521 complex.exp_neg
0.000018    17522 complex.cosh_neg
0.000018    17523 complex.cos_conj
0.000018    17524 complex.of_real_cos_of_real_re
0.000017    17525 complex.of_real_cos
0.000019    17526 complex.sinh
0.000017    17527 complex.two_sinh
0.000018    17528 _private.3424581445.cosh_add_aux
0.000018    17529 complex.cosh_add
0.000018    17530 complex.two_sin
0.000018    17531 mul_neg_one
0.000018    17532 complex.sinh_mul_I
0.000018    17533 complex.cos_add
0.000018    17534 complex.cos_two_mul'
0.000018    17535 complex.I_sq
0.000018    17536 sq_sub_sq
0.000018    17537 add_add_sub_cancel
0.000018    17538 complex.cosh_add_sinh
0.000018    17539 add_sub_sub_cancel
7.077226    17540 complex.cosh_sub_sinh
0.000080    17541 complex.cosh_sq_sub_sinh_sq
0.000022    17542 complex.sin_sq_add_cos_sq
0.000016    17543 sub_add_eq_add_sub
0.000015    17544 complex.cos_two_mul
0.000015    17545 complex.of_real_sub
0.000015    17546 complex.of_real_pow
0.000015    17547 real.cos_two_mul
0.000015    17548 sub_le_sub_right
0.000015    17549 bit1_pos
0.000018    17550 bit1_pos'
0.000018    17551 norm_num.add_bit1_bit0
0.000016    17552 norm_num.add_bit0_bit0
0.000018    17553 norm_num.one_add
0.000016    17554 norm_num.sle_bit0_bit0
0.000015    17555 norm_num.bit1_succ
0.000018    17556 norm_num.sle_bit1_bit0
0.000016    17557 norm_num.lt_bit0_bit1
0.000019    17558 norm_num.le_bit0_bit1
0.000018    17559 norm_num.sle_one_bit1
0.000019    17560 complex.of_real_div
0.000016    17561 complex.cos.equations._eqn_1
0.000015    17562 add_div
0.000017    17563 div_sub_div_same
0.000018    17564 sub_div
0.000018    17565 complex.bit0_re
0.000016    17566 complex.bit0_im
0.000018    17567 norm_num.mul_bit1_bit1
0.000016    17568 tactic.ring.horner_add_horner_lt
0.000015    17569 even
0.000015    17570 abs_hom._proof_1
0.000018    17571 abs_one
0.000018    17572 abs_hom
0.000018    17573 pow_abs
0.000019    17574 abs_pow
0.000017    17575 max_eq_left_iff
0.000019    17576 neg_le_iff_add_nonneg
0.000018    17577 neg_le_self_iff
0.000018    17578 abs_eq_self
0.000018    17579 pow_even_nonneg
0.000018    17580 pow_even_abs
0.000018    17581 even_bit0
0.000018    17582 pow_bit0_abs
0.000018    17583 half_add_self
0.000030    17584 add_halves'
0.000016    17585 decidable.le_iff_le_iff_lt_iff_lt
0.000016    17586 decidable.mul_le_mul_right
0.000017    17587 real.cos_bound
0.000019    17588 real.cos_pos_of_le_one
0.000018    17589 real.cos_one_pos
0.000018    17590 norm_num.pow_bit0
0.000018    17591 real.cos_one_le
0.000018    17592 real.cos_two_neg
0.000018    17593 real.exists_cos_eq_zero
0.000017    17594 real.pi
0.000016    17595 complex.exp_nat_mul
0.000015    17596 real.exp
0.000017    17597 complex.cos_add_sin_I
0.000018    17598 complex.exp_mul_I
0.000018    17599 complex.exp_add_mul_I
0.000018    17600 complex.exp_eq_exp_re_mul_sin_add_cos
0.000017    17601 complex.exp_of_real_re
0.000018    17602 complex.cos_of_real_re
0.000018    17603 complex.sin_of_real_re
0.000018    17604 complex.sinh.equations._eqn_1
0.000018    17605 complex.sinh_conj
0.000018    17606 complex.sinh_neg
0.000018    17607 complex.sin_conj
0.000018    17608 complex.of_real_sin_of_real_re
0.000017    17609 complex.sin_of_real_im
0.000018    17610 complex.of_real_exp_of_real_re
0.000018    17611 complex.exp_of_real_im
0.000018    17612 complex.cos_of_real_im
0.000018    17613 real.exp.equations._eqn_1
0.000017    17614 real.exp_ne_zero
0.000018    17615 real.integral_domain
0.000018    17616 mul_self_eq_one_iff
0.000018    17617 complex.of_real_sin
0.000018    17618 real.sin_sq_add_cos_sq
0.000018    17619 eq_zero_of_mul_self_eq_zero
0.000018    17620 real.sin_eq_zero_iff_cos_eq
0.000018    17621 real.exp_zero
0.000018    17622 real.exp_add
0.000018    17623 lt_mul_iff_one_lt_left
0.000018    17624 add_neg_of_nonpos_of_neg
0.000017    17625 add_nonpos
0.000018    17626 cau_seq.le_of_le_of_eq
0.000018    17627 cau_seq.le_lim
0.000018    17628 real.add_semigroup
0.000018    17629 is_add_group_hom
0.000018    17630 add_cancel_monoid.to_add_left_cancel_monoid
0.000018    17631 is_add_monoid_hom.of_add
0.000018    17632 is_add_group_hom.to_is_add_hom
0.000018    17633 is_add_group_hom.to_is_add_monoid_hom
0.000018    17634 complex.re.is_add_group_hom
0.000017    17635 real.add_one_le_exp_of_nonneg
0.000018    17636 sub_neg_of_lt
0.000018    17637 real.one_le_exp
0.000018    17638 complex.of_real_neg
0.000018    17639 complex.of_real_exp
0.000018    17640 real.exp_neg
0.000017    17641 real.exp_pos
0.000019    17642 add_neg
0.000017    17643 real.exp_strict_mono
0.000018    17644 real.exp_injective
0.000018    17645 real.exp_eq_one_iff
0.000018    17646 sub_floor_div_mul_nonneg
0.000018    17647 real.pi.equations._eqn_1
0.000018    17648 real.one_le_pi_div_two
0.000017    17649 real.two_le_pi
0.000018    17650 real.pi_pos
0.000018    17651 _private.1668581595.pow_le_pow_of_le_one_aux
0.000019    17652 nat.exists_eq_add_of_le
0.000017    17653 pow_le_pow_of_le_one
0.000018    17654 norm_num.mul_pos_neg
0.000018    17655 norm_num.add_bit1_bit1
0.000018    17656 norm_num.adc_bit1_bit0
0.000018    17657 norm_num.adc_bit0_bit1
0.000018    17658 norm_num.adc_bit0_one
0.000018    17659 neg_of_neg_pos
0.000018    17660 linarith.mul_neg
0.000018    17661 cancel_factors.sub_subst
0.000018    17662 cancel_factors.add_subst
0.000018    17663 cancel_factors.mul_subst
0.000018    17664 mul_div_comm
0.000018    17665 cancel_factors.div_subst
0.000018    17666 linarith.mul_nonpos
0.000018    17667 nat_mul_inj
0.000018    17668 nat_mul_inj'
0.000018    17669 bit0_injective
0.000018    17670 bit0_eq_bit0
0.000018    17671 complex.of_real_bit1
0.000018    17672 complex.bit1_re
0.000018    17673 complex.bit1_im
0.000018    17674 real.sin_bound
0.000019    17675 real.sin_pos_of_pos_of_le_one
0.000018    17676 _private.2880291403.sinh_add_aux
0.000018    17677 complex.sinh_add
0.000018    17678 complex.sin_add
0.000018    17679 complex.sin_two_mul
0.000018    17680 real.sin_two_mul
0.000019    17681 real.sin_pos_of_pos_of_le_two
2.976789    17682 real.sin.equations._eqn_1
0.000076    17683 real.sin_add
0.000024    17684 real.cos_pi_div_two
0.000016    17685 real.sin_pi
0.000015    17686 real.cos.equations._eqn_1
0.000015    17687 complex.cos_neg
0.000015    17688 real.cos_neg
0.000015    17689 zero_pow'
0.000015    17690 real.cos_pi
0.000018    17691 complex.sin_neg
0.000018    17692 real.sin_neg
0.000016    17693 real.sin_pi_sub
0.000018    17694 real.pi_div_two_le_two
0.000019    17695 real.pi_le_four
0.000019    17696 le_of_not_ge
0.000019    17697 real.sin_pos_of_pos_of_lt_pi
0.000018    17698 sub_floor_div_mul_lt
0.000015    17699 complex.sin_zero
0.000018    17700 real.sin_zero
0.000016    17701 real.sin_nat_mul_pi
0.000015    17702 real.sin_int_mul_pi
0.000017    17703 real.sin_eq_zero_iff
0.000019    17704 int.mod_two_eq_zero_or_one
0.000018    17705 int.cast_bit0
0.000018    17706 int.cast_two
0.000018    17707 real.cos_add
0.000018    17708 complex.cos_zero
0.000018    17709 real.cos_zero
0.000018    17710 real.cos_two_pi
0.000018    17711 real.sin_two_pi
0.000018    17712 real.cos_nat_mul_two_pi
0.000018    17713 real.cos_int_mul_two_pi
0.000018    17714 int.coe_nat_bit0
0.000019    17715 real.cos_add_int_mul_two_pi
0.000017    17716 real.cos_int_mul_two_pi_add_pi
0.000019    17717 norm_num.lt_neg_pos
0.000018    17718 real.cos_eq_one_iff
0.000018    17719 complex.of_real_int_cast
0.000018    17720 complex.int_cast_re
0.000018    17721 complex.int_cast_im
0.000018    17722 not_lt_of_gt
0.000018    17723 complex.exp_eq_one_iff
0.000018    17724 mul_div_assoc'
0.000018    17725 real.pi_ne_zero
0.000018    17726 complex.two_pi_I_ne_zero
0.000018    17727 complex.is_primitive_root_exp_of_coprime
0.000018    17728 nat.coprime_one_left
0.000018    17729 complex.is_primitive_root_exp
0.000018    17730 complex.card_primitive_roots
0.000018    17731 pow_bit0_pos
0.000018    17732 bex.imp_right
0.000019    17733 intermediate_value_univ₂_eventually₁
0.000018    17734 filter.comap_coe_ne_bot_of_le_principal
0.000018    17735 filter.eventually_comap'
0.000018    17736 is_preconnected.intermediate_value₂_eventually₁
0.000018    17737 eventually_le_of_tendsto_lt
0.000018    17738 is_preconnected.intermediate_value_Ioc
0.000018    17739 set.ord_connected.inter
0.000018    17740 set.ord_connected_Ioi
0.000019    17741 set.ord_connected_Iic
0.000017    17742 set.ord_connected_Ioc
0.000018    17743 is_preconnected_Ioc
0.000018    17744 is_glb.nhds_within_ne_bot
0.000019    17745 lower_bounds_mono_set
0.000018    17746 is_lub.of_subset_of_superset
0.000018    17747 is_glb.of_subset_of_superset
0.000018    17748 is_glb_Ioo
0.000018    17749 is_least_Icc
0.000018    17750 is_glb_Icc
0.000018    17751 is_glb_Ioc
0.000018    17752 set.right_mem_Ioc
0.000018    17753 set.nonempty_Ioc
0.000018    17754 left_nhds_within_Ioc_ne_bot
0.000018    17755 intermediate_value_Ioc
0.000018    17756 category_theory.bundled
0.000018    17757 Top
0.000019    17758 topological_space.opens
0.000018    17759 category_theory.bundled.α
0.000018    17760 category_theory.bundled.has_coe_to_sort
0.000029    17761 Top.has_coe_to_sort
0.000019    17762 category_theory.bundled.str
0.000018    17763 Top.topological_space
0.000019    17764 subtype.partial_order
0.000018    17765 topological_space.opens.partial_order
0.000018    17766 Top.presheaf.sheaf_condition.opens_le_cover
0.000018    17767 category_theory.has_hom
0.000018    17768 category_theory.has_hom.hom
0.000018    17769 category_theory.category_struct
0.000018    17770 category_theory.category_struct.to_has_hom
0.000018    17771 category_theory.category_struct.comp
0.000018    17772 category_theory.category_struct.id
0.000019    17773 category_theory.category
0.000017    17774 category_theory.category.to_category_struct
0.000019    17775 category_theory.functor
0.000018    17776 category_theory.functor.obj
0.000018    17777 category_theory.comma
0.000018    17778 category_theory.discrete
0.000018    17779 category_theory.small_category
0.000018    17780 category_theory.discrete_category._proof_1
0.000018    17781 ulift.decidable_eq
0.000018    17782 decidable_eq_of_subsingleton._main
0.000018    17783 decidable_eq_of_subsingleton
0.000018    17784 subsingleton_prop
0.000018    17785 category_theory.discrete_category._proof_2
0.000018    17786 category_theory.discrete_category._proof_3
0.000019    17787 category_theory.discrete_category._proof_4
0.000018    17788 category_theory.discrete_category
0.000018    17789 category_theory.functor.map
0.000018    17790 category_theory.nat_trans
0.000018    17791 category_theory.category.comp_id
0.000018    17792 category_theory.category.id_comp
0.000018    17793 category_theory.nat_trans.id._proof_1
0.000018    17794 category_theory.nat_trans.id
0.000016    17795 category_theory.nat_trans.app
0.000017    17796 category_theory.category.assoc
0.000018    17797 category_theory.nat_trans.naturality
0.000018    17798 category_theory.nat_trans.naturality_assoc
0.000018    17799 category_theory.nat_trans.vcomp._proof_1
0.000018    17800 category_theory.nat_trans.vcomp
0.000018    17801 category_theory.nat_trans.cases_on
0.695845    17802 category_theory.nat_trans.ext
0.000077    17803 category_theory.functor.category._proof_1
0.000024    17804 category_theory.functor.category._proof_2
0.000016    17805 category_theory.functor.category._proof_3
0.000015    17806 category_theory.functor.category
0.000015    17807 category_theory.functor.const._proof_1
0.000015    17808 category_theory.functor.const._proof_2
0.000015    17809 category_theory.functor.const._proof_3
0.000015    17810 category_theory.functor.const._proof_4
0.000019    17811 category_theory.functor.const._proof_5
0.000019    17812 category_theory.functor.const._proof_6
0.000018    17813 category_theory.functor.const._proof_7
0.000016    17814 category_theory.functor.const._proof_8
0.000015    17815 category_theory.functor.const._proof_9
0.000018    17816 category_theory.functor.const
0.000018    17817 category_theory.functor.from_punit
0.000019    17818 category_theory.structured_arrow
0.000018    17819 category_theory.pairwise
0.000015    17820 category_theory.pairwise.hom
0.000018    17821 category_theory.pairwise.cases_on
0.000018    17822 category_theory.pairwise.id._main
0.000019    17823 category_theory.pairwise.id
0.000018    17824 category_theory.pairwise.hom.cases_on
0.000016    17825 category_theory.pairwise.no_confusion_type
0.000020    17826 category_theory.pairwise.no_confusion
0.000018    17827 category_theory.pairwise.comp._main
0.000018    17828 category_theory.pairwise.comp
0.000018    17829 category_theory.pairwise.category_theory.category._proof_1
0.000016    17830 category_theory.pairwise.category_theory.category._proof_2
0.000018    17831 category_theory.pairwise.category_theory.category._proof_3
0.000016    17832 category_theory.pairwise.category_theory.category
0.000019    17833 category_theory.induced_category
0.000016    17834 category_theory.induced_category.category._proof_1
0.000018    17835 category_theory.induced_category.category._proof_2
0.000019    17836 category_theory.induced_category.category._proof_3
0.000018    17837 category_theory.induced_category.category
0.000017    17838 category_theory.full_subcategory
0.000019    17839 preorder.small_category._proof_1
0.000017    17840 preorder.small_category._proof_2
0.000018    17841 preorder.small_category._proof_3
0.000018    17842 preorder.small_category._proof_4
0.000018    17843 preorder.small_category
0.000018    17844 Top.presheaf.sheaf_condition.opens_le_cover.category_theory.category
0.000019    17845 topological_space.opens.interior
0.000017    17846 topological_space.opens.gi._proof_1
0.000018    17847 topological_space.opens.set.has_coe
0.000018    17848 galois_connection.dual
0.000018    17849 topological_space.opens.gc
0.000018    17850 topological_space.opens.gi._proof_2
0.000018    17851 topological_space.opens.gi._proof_3
0.000018    17852 topological_space.opens.gi._proof_4
0.000018    17853 topological_space.opens.gi
0.000018    17854 topological_space.opens.has_subset
0.000018    17855 topological_space.opens.complete_lattice._proof_1
0.000018    17856 interior_univ
0.000018    17857 topological_space.opens.complete_lattice._proof_2
0.000018    17858 topological_space.opens.complete_lattice._proof_3
0.000019    17859 topological_space.opens.complete_lattice._proof_4
0.000017    17860 topological_space.opens.complete_lattice._proof_5
0.000019    17861 topological_space.opens.complete_lattice._proof_6
0.000017    17862 topological_space.opens.complete_lattice._proof_7
0.000019    17863 topological_space.opens.complete_lattice._proof_8
0.000018    17864 topological_space.opens.complete_lattice._proof_9
0.000019    17865 topological_space.opens.complete_lattice._proof_10
0.000018    17866 topological_space.opens.complete_lattice
0.000016    17867 Top.presheaf.sheaf_condition.pairwise_to_opens_le_cover_obj._main
0.000015    17868 Top.presheaf.sheaf_condition.pairwise_to_opens_le_cover_obj
0.000017    17869 category_theory.hom_of_le
0.000018    17870 Top.presheaf.sheaf_condition.pairwise_to_opens_le_cover_map._main
0.000018    17871 Top.presheaf.sheaf_condition.pairwise_to_opens_le_cover_map
0.000018    17872 Top.presheaf.sheaf_condition.pairwise_to_opens_le_cover._proof_1
0.000018    17873 Top.presheaf.sheaf_condition.pairwise_to_opens_le_cover._proof_2
0.000018    17874 Top.presheaf.sheaf_condition.pairwise_to_opens_le_cover
0.000018    17875 Top.presheaf.sheaf_condition.opens_le_cover.index._proof_1
0.000018    17876 Top.presheaf.sheaf_condition.opens_le_cover.index
0.000018    17877 Top.presheaf.sheaf_condition.opens_le_cover.hom_to_index._proof_1
0.000018    17878 Top.presheaf.sheaf_condition.opens_le_cover.hom_to_index
0.000018    17879 Top.presheaf.sheaf_condition.category_theory.structured_arrow.nonempty
0.000018    17880 category_theory.limits.has_zero_morphisms
0.117811    17881 category_theory.limits.has_zero_morphisms.has_zero
0.000079    17882 category_theory.limits.binary_bicone
0.000024    17883 category_theory.limits.cone
0.000016    17884 category_theory.limits.cone.X
0.000015    17885 category_theory.limits.cone.π
0.000015    17886 category_theory.limits.is_limit
0.000024    17887 category_theory.limits.walking_pair
0.000018    17888 category_theory.discrete.functor._proof_1
0.000015    17889 category_theory.discrete.functor._proof_2
0.000015    17890 category_theory.discrete.functor._proof_3
0.000015    17891 category_theory.discrete.functor._proof_4
0.000018    17892 category_theory.discrete.functor._proof_5
0.000020    17893 category_theory.discrete.functor._proof_6
0.000016    17894 category_theory.discrete.functor._proof_7
0.000015    17895 category_theory.discrete.functor
0.000018    17896 category_theory.limits.walking_pair.cases_on
0.000019    17897 category_theory.limits.pair
0.000018    17898 category_theory.limits.binary_fan
0.000016    17899 ulift.ext
0.000014    17900 plift.ext
0.000018    17901 category_theory.functor.map_id
0.000018    17902 category_theory.discrete.functor_map_id
0.000019    17903 category_theory.limits.binary_fan.mk._proof_1
0.000015    17904 category_theory.limits.binary_fan.mk
0.000019    17905 category_theory.limits.binary_bicone.X
0.000017    17906 category_theory.limits.binary_bicone.fst
0.000016    17907 category_theory.limits.binary_bicone.snd
0.000018    17908 category_theory.limits.binary_bicone.to_cone
0.000018    17909 category_theory.limits.cocone
0.000018    17910 category_theory.limits.cocone.X
0.000018    17911 category_theory.limits.cocone.ι
0.000018    17912 category_theory.limits.is_colimit
0.000018    17913 category_theory.limits.binary_cofan
0.000018    17914 category_theory.limits.binary_cofan.mk._proof_1
0.000018    17915 category_theory.limits.binary_cofan.mk
0.000018    17916 category_theory.limits.binary_bicone.inl
0.000018    17917 category_theory.limits.binary_bicone.inr
0.000018    17918 category_theory.limits.binary_bicone.to_cocone
0.000018    17919 category_theory.limits.binary_biproduct_data
0.000017    17920 category_theory.limits.has_binary_biproduct
0.000018    17921 category_theory.limits.binary_biproduct_data.bicone
0.000018    17922 category_theory.limits.has_binary_biproduct.exists_binary_biproduct
0.000018    17923 category_theory.limits.get_binary_biproduct_data
0.000018    17924 category_theory.limits.binary_biproduct.bicone
0.000018    17925 category_theory.limits.biprod
0.000018    17926 category_theory.limits.is_limit.lift
0.000018    17927 category_theory.limits.binary_biproduct_data.is_limit
0.000017    17928 category_theory.limits.binary_biproduct.is_limit
0.000018    17929 category_theory.limits.biprod.lift
0.000018    17930 category_theory.limits.biprod.fst
0.000018    17931 category_theory.limits.is_limit.fac
0.000018    17932 category_theory.limits.biprod.lift_fst
0.000018    17933 is_locally_constant
0.000016    17934 locally_constant
0.000014    17935 locally_constant.to_fun
0.000018    17936 locally_constant.has_coe_to_fun
0.000017    17937 is_locally_constant.comp
0.000019    17938 is_locally_constant.tfae
0.000017    17939 is_locally_constant.iff_eventually_eq
0.000018    17940 is_locally_constant.eventually_eq
0.000018    17941 is_locally_constant.prod_mk
0.000018    17942 is_locally_constant.comp₂
0.000018    17943 is_locally_constant.add
0.000018    17944 locally_constant.is_locally_constant
0.000018    17945 locally_constant.has_add._proof_1
0.000018    17946 locally_constant.has_add
0.000017    17947 locally_constant.cases_on
0.000018    17948 locally_constant.coe_injective
0.000018    17949 locally_constant.ext
0.000018    17950 locally_constant.add_apply
0.000018    17951 locally_constant.add_semigroup._proof_1
0.000018    17952 locally_constant.add_semigroup
0.000018    17953 locally_constant.add_monoid._proof_1
0.000017    17954 is_locally_constant.of_constant
0.000018    17955 is_locally_constant.const
0.000018    17956 locally_constant.const
0.000018    17957 locally_constant.has_zero
0.000018    17958 locally_constant.zero_apply
0.000018    17959 locally_constant.add_zero_class._proof_1
0.000018    17960 locally_constant.add_zero_class._proof_2
0.000018    17961 locally_constant.add_zero_class
0.000018    17962 locally_constant.add_monoid._proof_2
0.000018    17963 locally_constant.add_monoid._proof_3
0.000018    17964 locally_constant.add_monoid._proof_4
0.000018    17965 locally_constant.add_monoid._proof_5
0.000018    17966 locally_constant.add_monoid._proof_6
0.000018    17967 locally_constant.add_monoid._proof_7
0.000018    17968 locally_constant.add_monoid
0.000018    17969 locally_constant.add_comm_monoid._proof_2
0.000017    17970 is_extensional.cases_on
0.000018    17971 measurable_space.generate_measurable
0.000018    17972 measurable_space.generate_from
0.000018    17973 borel
0.000018    17974 borel_space
0.212743    17975 topological_space.second_countable_topology
0.000076    17976 measurable
0.000024    17977 measure_theory.measure.ae._proof_1
0.000016    17978 measure_theory.measure_mono_null
0.000015    17979 measure_theory.measure.ae._proof_2
0.000015    17980 measure_theory.outer_measure.union_null
0.000015    17981 measure_theory.measure_union_null
0.000015    17982 measure_theory.measure.ae._proof_3
0.000015    17983 measure_theory.measure.ae
0.000019    17984 ae_measurable
0.000018    17985 filter.eventually_eq.refl
0.000018    17986 filter.eventually_eq.rfl
0.000016    17987 measure_theory.ae_eq_refl
0.000018    17988 measure_theory.ae_eq_symm
0.000020    17989 filter.eventually_eq.rw
0.000018    17990 filter.eventually_eq.trans
0.000019    17991 measure_theory.ae_eq_trans
0.000016    17992 measure_theory.measure.ae_eq_setoid._proof_1
0.000018    17993 measure_theory.measure.ae_eq_setoid
0.000021    17994 measure_theory.ae_eq_fun
0.000018    17995 filter.germ_setoid._proof_1
0.000018    17996 filter.germ_setoid
0.000018    17997 filter.germ
0.000018    17998 measurable_space.mk_of_closure._proof_1
0.000018    17999 measurable_space.mk_of_closure._proof_2
0.000018    18000 measurable_space.mk_of_closure._proof_3
0.000018    18001 measurable_space.mk_of_closure
0.000018    18002 measurable_space.measurable_set_generate_from
0.000023    18003 measurable_space.generate_measurable.rec_on
0.000016    18004 measurable_space.generate_from_le
0.000018    18005 measurable_space.generate_from_le_iff
0.000018    18006 measurable_space.gi_generate_from._proof_1
0.000018    18007 measurable_space.gi_generate_from._proof_2
0.000018    18008 measurable_space.gi_generate_from._proof_3
0.000018    18009 measurable_space.mk_of_closure_sets
0.000018    18010 measurable_space.gi_generate_from._proof_4
0.000018    18011 measurable_space.gi_generate_from
0.000019    18012 measurable_space.complete_lattice
0.000018    18013 measurable_space.comap._proof_1
0.000018    18014 measurable_space.comap._match_1
0.000018    18015 measurable_space.comap._proof_2
0.000018    18016 measurable_space.comap._match_2
0.000018    18017 measurable_space.comap._proof_3
0.000016    18018 measurable_space.comap
0.000015    18019 prod.measurable_space
0.000017    18020 function.uncurry
0.000018    18021 measure_theory.ae_eq_fun.mk
0.000018    18022 ae_measurable.mk
0.000018    18023 measurable.comp
0.000018    18024 ae_measurable.measurable_mk
0.000018    18025 filter.eventually_eq.fun_comp
0.000018    18026 ae_measurable.ae_eq_mk
0.000018    18027 measurable.comp_ae_measurable
0.000018    18028 measure_theory.ae_eq_fun.comp._proof_1
0.000018    18029 measure_theory.ae_eq_fun.mk_eq_mk
0.000018    18030 measure_theory.ae_eq_fun.comp._proof_2
0.000018    18031 measure_theory.ae_eq_fun.comp
0.000018    18032 measurable_space.map._proof_1
0.000018    18033 measurable_space.map._proof_2
0.000018    18034 measurable_space.map
0.000018    18035 measurable_iff_le_map
0.000018    18036 measurable.of_le_map
0.000018    18037 measurable_space.comap_le_iff_le_map
0.000018    18038 measurable_space.map_comp
0.000018    18039 measurable.prod
0.000019    18040 measurable.prod_mk
0.000018    18041 filter.eventually_eq.prod_mk
0.000018    18042 ae_measurable.prod_mk
0.000018    18043 measure_theory.ae_eq_fun.pair._proof_1
0.000018    18044 measure_theory.ae_eq_fun.pair._proof_2
0.000018    18045 measure_theory.ae_eq_fun.pair
0.000018    18046 measure_theory.ae_eq_fun.comp₂
0.000018    18047 has_measurable_add₂
0.000018    18048 has_measurable_add₂.measurable_add
0.000018    18049 opens_measurable_space
0.000018    18050 measurable.mono
0.000018    18051 continuous.borel_measurable
0.000019    18052 opens_measurable_space.borel_le
0.000017    18053 borel_space.measurable_eq
0.000019    18054 continuous.measurable
0.000017    18055 topological_space.is_topological_basis
0.000019    18056 set.bUnion_eq_univ_iff
0.000018    18057 Inf_insert
0.000018    18058 set.sInter_insert
0.000018    18059 is_open_sInter
0.000018    18060 topological_space.is_topological_basis_of_subbasis
0.000018    18061 topological_space.second_countable_topology.is_open_generated_countable
0.000018    18062 topological_space.exists_countable_basis
0.000018    18063 topological_space.countable_basis
0.000019    18064 topological_space.countable_countable_basis
0.000018    18065 topological_space.is_topological_basis.eq_generate_from
0.000018    18066 filter.binfi_sets_eq
0.000018    18067 topological_space.is_topological_basis.exists_subset_inter
0.000028    18068 topological_space.is_topological_basis.sUnion_eq
0.000016    18069 set.mem_bUnion_iff
0.000015    18070 topological_space.is_topological_basis.mem_nhds_iff
0.000018    18071 topological_space.is_topological_basis.exists_subset_of_mem_open
0.000018    18072 topological_space.is_basis_countable_basis
0.000019    18073 topological_space.is_open_Union_countable
0.000018    18074 topological_space.is_open_sUnion_countable
0.383832    18075 measurable_set.bUnion
0.000122    18076 measurable_set.sUnion
0.000023    18077 borel_eq_generate_from_of_subbasis
0.000016    18078 topological_space.is_topological_basis.borel_eq_generate_from
0.000015    18079 topological_space.is_topological_basis.second_countable_topology
0.000015    18080 set.mem_sUnion
0.000014    18081 set.sUnion_eq_univ_iff
0.000015    18082 binfi_le_of_le
0.000015    18083 topological_space.is_topological_basis_of_open_of_nhds
0.000019    18084 topological_space.is_topological_basis.is_open
0.000018    18085 topological_space.is_topological_basis.nhds_has_basis
0.000019    18086 set.mem_image2_of_mem
0.000016    18087 topological_space.is_topological_basis.prod
0.000015    18088 set.image_prod
0.000020    18089 set.prod_range_range_eq
0.000019    18090 set.range_prod_map
0.000018    18091 encodable.encode_sigma._main
0.000016    18092 encodable.encode_sigma
0.000017    18093 encodable.decode_sigma._match_1
0.000019    18094 encodable.decode_sigma
0.000018    18095 encodable.encode_sigma._main.equations._eqn_1
0.000018    18096 encodable.encode_sigma.equations._eqn_1
0.000018    18097 encodable.decode_sigma.equations._eqn_1
0.000016    18098 encodable.decode_sigma._match_1.equations._eqn_1
0.000015    18099 encodable.sigma._match_1
0.000015    18100 encodable.sigma._proof_1
0.000015    18101 encodable.sigma
0.000019    18102 encodable.prod
0.000018    18103 set.countable.prod
0.000018    18104 set.countable.image2
0.000018    18105 topological_space.prod.second_countable_topology
0.000018    18106 measurable_iff_comap_le
0.000018    18107 measurable.of_comap_le
0.000018    18108 measurable_fst
0.000018    18109 measurable_snd
0.000018    18110 measurable_set.prod
0.000018    18111 is_open.measurable_set
0.000018    18112 topological_space.is_open_of_mem_countable_basis
0.000018    18113 prod.opens_measurable_space
0.000018    18114 borel_space.opens_measurable
0.000018    18115 has_continuous_add.has_measurable_mul₂
0.000018    18116 measure_theory.ae_eq_fun.has_add._proof_1
0.000018    18117 measure_theory.ae_eq_fun.has_add
0.000018    18118 measurable.ae_measurable
0.000018    18119 measurable_set.const
0.000018    18120 measurable_const
0.000018    18121 ae_measurable_const
0.000017    18122 measure_theory.ae_eq_fun.const
0.000018    18123 measure_theory.ae_eq_fun.has_zero
0.000018    18124 has_measurable_neg
0.000018    18125 has_measurable_neg.measurable_neg
0.000018    18126 topological_add_group.has_measurable_neg
0.000018    18127 measure_theory.ae_eq_fun.has_neg._proof_1
0.000018    18128 measure_theory.ae_eq_fun.has_neg
0.000018    18129 has_measurable_sub₂
0.000018    18130 has_measurable_sub₂.measurable_sub
0.000018    18131 measurable.add
0.000018    18132 measurable.neg
0.000018    18133 has_measurable_div₂_of_add_neg
0.000018    18134 measure_theory.ae_eq_fun.has_sub._proof_1
0.000018    18135 measure_theory.ae_eq_fun.has_sub
0.000018    18136 relator.lift_fun
0.000018    18137 quotient.map₂._proof_1
0.000018    18138 quotient.map₂
0.000017    18139 quotient.map₂'
0.000018    18140 filter.germ.map₂._proof_1
0.000018    18141 filter.germ.map₂
0.000018    18142 filter.germ.has_add
0.000018    18143 filter.germ.has_coe_t
0.000018    18144 filter.germ.quot_mk_eq_coe
0.000018    18145 filter.germ.coe_add
0.000017    18146 pi.add_semigroup._proof_1
0.000019    18147 pi.add_semigroup
0.000017    18148 filter.germ.add_semigroup._proof_1
0.000018    18149 filter.germ.add_semigroup
0.000018    18150 filter.germ.add_monoid._proof_1
0.000018    18151 filter.germ.has_lift_t
0.000018    18152 filter.germ.has_zero
0.000018    18153 filter.germ.induction_on
0.000017    18154 filter.germ.coe_zero
0.000018    18155 filter.germ.coe_eq
0.000018    18156 filter.germ.add_monoid._proof_2
0.000018    18157 filter.germ.add_monoid._proof_3
0.000018    18158 filter.germ.add_monoid._proof_4
0.000018    18159 filter.germ.add_monoid._proof_5
0.000018    18160 filter.germ.add_monoid._proof_6
0.000018    18161 filter.germ.add_monoid._proof_7
0.000018    18162 filter.germ.add_monoid
0.000018    18163 filter.germ.sub_neg_add_monoid._proof_1
0.000018    18164 filter.germ.sub_neg_add_monoid._proof_2
0.000018    18165 filter.germ.sub_neg_add_monoid._proof_3
0.000018    18166 filter.germ.sub_neg_add_monoid._proof_4
0.000018    18167 filter.germ.sub_neg_add_monoid._proof_5
0.000018    18168 quot.map._proof_1
0.000018    18169 quot.map
0.000018    18170 quotient.map'
0.000018    18171 filter.germ.map'
0.000018    18172 filter.germ.map._proof_1
0.000018    18173 filter.germ.map
0.000018    18174 filter.germ.has_neg
0.000018    18175 filter.germ.has_sub
0.000018    18176 pi.sub_neg_add_monoid._proof_1
0.000018    18177 pi.sub_neg_add_monoid._proof_2
0.000018    18178 pi.sub_neg_add_monoid._proof_3
0.000017    18179 pi.sub_neg_add_monoid._proof_4
0.000018    18180 pi.sub_neg_add_monoid._proof_5
0.000018    18181 pi.sub_neg_add_monoid._proof_6
0.000018    18182 pi.sub_neg_add_monoid
0.000018    18183 filter.germ.sub_neg_add_monoid._proof_6
1.686712    18184 filter.germ.sub_neg_add_monoid
0.000077    18185 filter.germ.add_group._proof_1
0.000025    18186 filter.germ.add_group._proof_2
0.000015    18187 filter.germ.add_group._proof_3
0.000015    18188 filter.germ.add_group._proof_4
0.000015    18189 filter.germ.add_group._proof_5
0.000015    18190 filter.germ.add_group._proof_6
0.000015    18191 filter.germ.add_group._proof_7
0.000015    18192 filter.germ.add_group
0.000014    18193 measure_theory.ae_eq_fun.to_germ._proof_1
0.000015    18194 measure_theory.ae_eq_fun.to_germ
0.000018    18195 quotient.out'
0.000018    18196 measure_theory.ae_eq_fun.has_coe_to_fun._proof_1
0.000016    18197 measure_theory.ae_eq_fun.has_coe_to_fun
0.000019    18198 measure_theory.ae_eq_fun.measurable
0.000019    18199 measure_theory.ae_eq_fun.ae_measurable
0.000018    18200 quotient.out_eq'
0.000018    18201 measure_theory.ae_eq_fun.mk.equations._eqn_1
0.000016    18202 measure_theory.ae_eq_fun.mk_coe_fn
0.000015    18203 measure_theory.ae_eq_fun.ext
0.000018    18204 measure_theory.ae_eq_fun.mk_to_germ
0.000019    18205 measure_theory.ae_eq_fun.to_germ_eq
0.000019    18206 measure_theory.ae_eq_fun.to_germ_injective
0.000018    18207 measure_theory.ae_eq_fun.zero_to_germ
0.000016    18208 measure_theory.ae_eq_fun.add_group._proof_1
0.000015    18209 measure_theory.ae_eq_fun.induction_on
0.000015    18210 measure_theory.ae_eq_fun.induction_on₂
0.000019    18211 measure_theory.ae_eq_fun.comp₂_mk_mk
0.000016    18212 filter.germ.map₂_coe
0.000017    18213 measure_theory.ae_eq_fun.comp₂_to_germ
0.000018    18214 measure_theory.ae_eq_fun.add_to_germ
0.000018    18215 measure_theory.ae_eq_fun.add_group._proof_2
0.000018    18216 measure_theory.ae_eq_fun.comp_mk
0.000018    18217 filter.germ.map_coe
0.000018    18218 measure_theory.ae_eq_fun.comp_to_germ
0.000018    18219 measure_theory.ae_eq_fun.neg_to_germ
0.000018    18220 measure_theory.ae_eq_fun.sub_to_germ
0.000018    18221 measure_theory.ae_eq_fun.add_group
0.000018    18222 measure_theory.Lp._proof_1
0.000018    18223 measure_theory.Lp._proof_2
0.000018    18224 filter.Limsup
0.000018    18225 filter.limsup
0.000018    18226 ess_sup
0.000018    18227 measure_theory.snorm_ess_sup
0.000019    18228 real.decidable_lt
0.000018    18229 complex.decidable_eq
0.000018    18230 set.cod_restrict
0.000018    18231 strict_mono.cod_restrict
0.000018    18232 real.exp_order_iso._proof_1
0.000018    18233 real.has_deriv_at_exp
0.000018    18234 real.differentiable_exp
0.000018    18235 real.continuous_exp
0.000018    18236 real.semilattice_sup
0.000018    18237 nontrivial.dcases_on
0.000018    18238 by_contra
0.000018    18239 filter.nontrivial_iff_nonempty
0.000018    18240 filter.map_infi_le
0.000018    18241 filter.map_infi_eq
0.000018    18242 subtype.coe_le_coe
0.000018    18243 filter.map_coe_at_top_of_Ici_subset
0.000019    18244 set.Ici_subset_Ioi
0.000018    18245 filter.le_comap_map
0.000018    18246 filter.comap_map
0.000017    18247 filter.at_top_Ioi_eq
0.000019    18248 filter.tendsto_Ioi_at_top
0.000018    18249 filter.tendsto_at_top_of_add_const_right
0.000018    18250 filter.tendsto_at_top_of_add_bdd_above_right'
0.000018    18251 filter.tendsto_at_top_add_right_of_le'
0.000018    18252 filter.tendsto_at_top_add_const_right
0.000018    18253 real.tendsto_exp_at_top
0.000018    18254 set.dual_Ioo
0.000018    18255 tfae_mem_nhds_within_Iio
0.000018    18256 mem_nhds_within_Iio_iff_exists_mem_Ico_Ioo_subset
0.000018    18257 Ioo_mem_nhds_within_Iio
0.000018    18258 comap_coe_nhds_within_Iio_of_Ioo_subset
0.000019    18259 comap_coe_nhds_within_Ioi_of_Ioo_subset
0.000018    18260 comap_coe_Ioi_nhds_within_Ioi
0.000018    18261 tendsto_Ioi_at_bot
0.000018    18262 real.tendsto_exp_neg_at_top_nhds_0
0.000018    18263 filter.tendsto_at_bot
0.000018    18264 filter.tendsto_neg_at_top_at_bot
0.000018    18265 order_dual.ordered_add_comm_monoid._proof_1
0.000018    18266 order_dual.ordered_add_comm_monoid._proof_2
0.000019    18267 order_dual.ordered_add_comm_monoid._proof_3
0.000018    18268 order_dual.ordered_add_comm_monoid._proof_4
0.000018    18269 order_dual.ordered_add_comm_monoid._proof_5
0.000018    18270 order_dual.ordered_add_comm_monoid._proof_6
0.000018    18271 order_dual.ordered_add_comm_monoid._proof_7
0.000018    18272 order_dual.ordered_add_comm_monoid._proof_8
0.000018    18273 order_dual.ordered_add_comm_monoid._proof_9
0.000016    18274 order_dual.ordered_add_comm_monoid._proof_10
0.000018    18275 order_dual.ordered_add_comm_monoid._proof_11
0.000019    18276 order_dual.ordered_add_comm_monoid._proof_12
0.000018    18277 order_dual.ordered_add_comm_monoid
0.000018    18278 order_dual.ordered_add_comm_group._proof_1
0.000018    18279 order_dual.ordered_add_comm_group._proof_2
0.000018    18280 order_dual.ordered_add_comm_group._proof_3
0.000019    18281 order_dual.ordered_add_comm_group._proof_4
0.000018    18282 order_dual.ordered_add_comm_group._proof_5
3.731790    18283 order_dual.ordered_add_comm_group._proof_6
0.000079    18284 order_dual.ordered_add_comm_group._proof_7
0.000021    18285 order_dual.ordered_add_comm_group._proof_8
0.000016    18286 order_dual.ordered_add_comm_group._proof_9
0.000015    18287 order_dual.ordered_add_comm_group._proof_10
0.000015    18288 order_dual.ordered_add_comm_group._proof_11
0.000015    18289 order_dual.ordered_add_comm_group._proof_12
0.000018    18290 order_dual.ordered_add_comm_group._proof_13
0.000018    18291 order_dual.ordered_add_comm_group
0.000017    18292 filter.tendsto_neg_at_bot_at_top
0.000015    18293 real.tendsto_exp_at_bot
0.000015    18294 real.tendsto_exp_at_bot_nhds_within
0.000019    18295 real.exp_order_iso._proof_2
0.000020    18296 real.exp_order_iso
0.000018    18297 real.log._proof_1
0.000016    18298 real.log
0.000017    18299 set.proj_Icc._proof_1
0.000019    18300 set.proj_Icc
0.000017    18301 set.Icc_extend
0.000017    18302 neg_le_self
0.000018    18303 real.arcsin._proof_1
0.000018    18304 set.surj_on
0.000018    18305 set.bij_on
0.000018    18306 set.bij_on.maps_to
0.000018    18307 subtype.val_prop
0.000017    18308 set.bij_on.equiv._proof_1
0.000018    18309 set.bij_on.inj_on
0.000018    18310 set.bij_on.surj_on
0.000018    18311 set.bij_on.bijective
0.000018    18312 set.bij_on.equiv
0.000018    18313 set.bij_on.mk
0.000018    18314 set.inj_on.bij_on_image
0.000018    18315 strict_mono_incr_on.inj_on
0.000018    18316 strict_mono_incr_on.order_iso._proof_1
0.000018    18317 strict_mono_incr_on.order_iso._proof_2
0.000018    18318 strict_mono_incr_on.order_iso
0.000018    18319 real.pi_div_two_pos
0.000018    18320 real.sin_pi_div_two
0.000018    18321 real.cos_sub_pi_div_two
0.000018    18322 complex.cos_sub
0.000018    18323 complex.cos_sub_cos
0.000018    18324 real.cos_sub_cos
0.000018    18325 real.cos_lt_cos_of_nonneg_of_le_pi_div_two
0.000019    18326 real.cos_sub
0.000018    18327 real.cos_pi_sub
0.000018    18328 real.sin_add_pi_div_two
0.000017    18329 has_strict_fderiv_at.restrict_scalars
0.000019    18330 has_strict_deriv_at_iff_has_strict_fderiv_at
0.000018    18331 has_strict_deriv_at.has_strict_fderiv_at
0.000018    18332 has_strict_deriv_at.real_of_complex
0.000018    18333 has_strict_deriv_at.sub
0.000018    18334 complex.has_strict_deriv_at_sin
0.000018    18335 real.has_strict_deriv_at_sin
0.000018    18336 real.has_deriv_at_sin
0.000018    18337 real.differentiable_sin
0.000018    18338 real.continuous_sin
0.000018    18339 real.sin_pos_of_mem_Ioo
0.000018    18340 set.diff_diff
0.000018    18341 set.mem_Ioo
0.000018    18342 set.Ioc_diff_right
0.000018    18343 set.Icc_diff_both
0.000018    18344 set.Icc_diff_Ioo_same
0.000018    18345 set.nonempty_Ioo
0.000018    18346 is_lub_Ioo
0.000018    18347 closure_Ioo
0.000018    18348 real.sin_nonneg_of_mem_Icc
0.000018    18349 cancel_factors.neg_subst
0.000018    18350 real.cos_nonneg_of_mem_Icc
0.000018    18351 real.cos_nonpos_of_pi_div_two_le_of_le
0.000018    18352 real.cos_pos_of_mem_Ioo
0.000018    18353 real.cos_neg_of_pi_div_two_lt_of_lt
0.000018    18354 linarith.lt_of_lt_of_eq
0.000018    18355 linarith.mul_eq
0.000018    18356 real.cos_lt_cos_of_nonneg_of_le_pi
0.000019    18357 real.sin_lt_sin_of_lt_of_le_pi_div_two
0.000018    18358 real.strict_mono_incr_on_sin
0.000018    18359 set.eq_of_subset_of_subset
0.000017    18360 set.maps_to.image_subset
0.000019    18361 set.surj_on.image_eq_of_maps_to
0.000017    18362 set.bij_on.image_eq
0.000016    18363 abs_le_iff_mul_self_le
0.000015    18364 abs_le_one_iff_mul_self_le_one
0.000018    18365 real.sin_sq_le_one
0.000018    18366 real.abs_sin_le_one
0.000018    18367 real.neg_one_le_sin
0.000018    18368 real.sin_le_one
0.000018    18369 real.sin_mem_Icc
0.000018    18370 real.maps_to_sin
0.000018    18371 real.inj_on_sin
0.000018    18372 intermediate_value_Icc
0.000018    18373 real.surj_on_sin
0.000018    18374 real.bij_on_sin
0.000018    18375 real.sin_order_iso._proof_1
0.000018    18376 real.sin_order_iso
0.000065    18377 real.arcsin
0.000020    18378 complex.arg
0.000019    18379 complex.log
0.000018    18380 complex.cpow
0.000018    18381 complex.has_pow
0.000018    18382 real.rpow
0.000018    18383 real.has_pow
0.000019    18384 real.rpow_def
0.000017    18385 complex.cpow_def
0.000019    18386 complex.log.equations._eqn_1
0.000018    18387 complex.log_re
0.000018    18388 complex.log_im
0.000018    18389 complex.arg.equations._eqn_1
0.000019    18390 real.arcsin_mem_Icc
0.000018    18391 real.arcsin.equations._eqn_1
0.000018    18392 set.proj_Icc.equations._eqn_1
0.000018    18393 set.proj_Icc_of_mem
0.000018    18394 set.Icc_extend_of_mem
0.000019    18395 real.coe_sin_order_iso_apply
0.000018    18396 order_iso.apply_symm_apply
0.000018    18397 real.sin_arcsin'
0.000018    18398 real.arcsin_eq_of_sin_eq
0.000019    18399 real.arcsin_zero
0.000017    18400 complex.arg_of_real_of_nonneg
0.000019    18401 complex.of_real_log
0.000018    18402 real.exp_eq_exp
0.000018    18403 real.rpow_def_of_nonneg
0.000018    18404 real.rpow_nonneg_of_nonneg
0.000018    18405 nnreal.rpow._proof_1
0.000018    18406 nnreal.rpow
0.000018    18407 nnreal.real.has_pow
0.000019    18408 ennreal.rpow._main
0.000018    18409 ennreal.rpow
0.294761    18410 ennreal.real.has_pow
0.000079    18411 measure_theory.simple_func
0.000022    18412 measure_theory.simple_func.to_fun
0.000016    18413 measure_theory.simple_func.has_coe_to_fun
0.000015    18414 measure_theory.simple_func.finite_range'
0.000015    18415 measure_theory.simple_func.finite_range
0.000015    18416 measure_theory.simple_func.range
0.000015    18417 measure_theory.simple_func.lintegral
0.000015    18418 measure_theory.lintegral
0.000014    18419 measure_theory.snorm'
0.000019    18420 measure_theory.snorm
0.000018    18421 measure_theory.snorm.equations._eqn_1
0.000016    18422 filter.is_cobounded
0.000017    18423 filter.is_cobounded_under
0.000016    18424 filter.is_bounded
0.000018    18425 filter.is_bounded_under
0.000019    18426 cInf_le_cInf
0.000016    18427 filter.Limsup_le_Limsup
0.000018    18428 filter.eventually_le.trans
0.000016    18429 filter.limsup_le_limsup
0.000018    18430 filter.is_cobounded_le_of_bot
0.000018    18431 filter.is_bounded_le_of_top
0.000019    18432 ess_sup_mono_ae
0.000018    18433 measure_theory.snorm'.equations._eqn_1
0.000018    18434 nnreal.rpow_eq_pow
0.000018    18435 complex.cpow_zero
0.000018    18436 real.rpow_zero
0.000018    18437 nnreal.rpow_zero
0.000018    18438 ennreal.rpow_zero
0.000018    18439 ennreal.top_rpow_def
0.000018    18440 ennreal.top_rpow_of_pos
0.000018    18441 real.log_zero
0.000028    18442 complex.arg_zero
0.000017    18443 complex.log_zero
0.000018    18444 complex.zero_cpow
0.000019    18445 real.zero_rpow
0.000018    18446 nnreal.zero_rpow
0.000018    18447 ennreal.zero_rpow_of_pos
0.000018    18448 ennreal.coe_rpow_of_ne_zero
0.000018    18449 ennreal.coe_rpow_of_nonneg
0.000018    18450 real.rpow_def_of_pos
0.000018    18451 real.rpow_pos_of_pos
0.000019    18452 real.exp_lt_exp
0.000018    18453 real.log_of_ne_zero
0.000018    18454 real.coe_exp_order_iso_apply
0.000018    18455 real.exp_log_eq_abs
0.000018    18456 real.exp_log
0.000018    18457 real.log_lt_log
0.000018    18458 real.rpow_lt_rpow
0.000018    18459 real.rpow_le_rpow
0.000018    18460 nnreal.rpow_le_rpow
0.000018    18461 ennreal.rpow_le_rpow
0.000018    18462 measure_theory.outer_measure.exists_measurable_superset_of_trim_eq_zero
0.000017    18463 measure_theory.exists_measurable_superset_of_null
0.000019    18464 set.ite
0.000015    18465 set.ite.equations._eqn_1
0.000015    18466 set.piecewise_preimage
0.000018    18467 measurable_set.ite
0.000017    18468 measurable.piecewise
0.000019    18469 measure_theory.simple_func.measurable_set_fiber'
0.000018    18470 measure_theory.simple_func.measurable_set_fiber
0.000018    18471 measure_theory.simple_func.measurable_set_cut
0.000017    18472 measure_theory.simple_func.measurable_set_preimage
0.000019    18473 measure_theory.simple_func.measurable
0.000017    18474 measure_theory.simple_func.piecewise._proof_1
0.000019    18475 set.range_ite_subset
0.000017    18476 measure_theory.simple_func.piecewise._proof_2
0.000018    18477 measure_theory.simple_func.piecewise
0.000018    18478 measure_theory.simple_func.const._proof_1
0.000018    18479 set.finite_range_const
0.000018    18480 measure_theory.simple_func.const
0.000018    18481 measure_theory.simple_func.has_zero
0.000018    18482 measure_theory.simple_func.restrict
0.000018    18483 measure_theory.simple_func.restrict.equations._eqn_1
0.000018    18484 measure_theory.simple_func.coe_restrict
0.000018    18485 measure_theory.simple_func.restrict_apply
0.000018    18486 measure_theory.simple_func.lintegral.equations._eqn_1
0.000018    18487 finset.sum_bij_ne_zero
0.000018    18488 measure_theory.simple_func.mem_range
0.000018    18489 measure_theory.simple_func.forall_range_iff
0.000018    18490 set.preimage_singleton_nonempty
0.000018    18491 measure_theory.nonempty_of_measure_ne_zero
0.000018    18492 measure_theory.simple_func.lintegral_eq_of_subset
0.000018    18493 measure_theory.simple_func.mem_range_of_measure_ne_zero
0.000018    18494 measure_theory.simple_func.lintegral_eq_of_measure_preimage
0.000018    18495 set.union_diff_self
0.000018    18496 measure_theory.measure_union_le
0.000018    18497 measure_theory.ae_iff
0.000018    18498 measure_theory.ae_le_set
0.000017    18499 measure_theory.measure_mono_ae
0.000018    18500 filter.eventually_le.measure_le
0.000018    18501 filter.eventually_eq.le
0.000019    18502 measure_theory.measure_congr
0.000018    18503 filter.eventually_eq_set
0.000018    18504 filter.eventually.set_eq
0.000018    18505 measure_theory.simple_func.lintegral_congr
0.000018    18506 measure_theory.mem_ae_iff
0.000018    18507 measure_theory.compl_mem_ae_iff
0.000018    18508 measure_theory.measure_zero_iff_ae_nmem
0.000018    18509 measure_theory.lintegral_mono_ae
0.000017    18510 measure_theory.snorm'_mono_ae
0.000019    18511 measure_theory.snorm_mono_ae
0.000017    18512 measure_theory.snorm_congr_norm_ae
0.000019    18513 measure_theory.snorm_congr_ae
0.000017    18514 quotient.mk_out'
0.000019    18515 measure_theory.ae_eq_fun.coe_fn_mk
0.520589    18516 measure_theory.ae_eq_fun.coe_fn_const
0.000076    18517 measure_theory.ae_eq_fun.coe_fn_zero
0.000024    18518 measure_theory.snorm'_exponent_zero
0.000016    18519 measure_theory.snorm_exponent_zero
0.000015    18520 ennreal.top_to_real
0.000015    18521 measure_theory.snorm_exponent_top
0.000015    18522 measure_theory.snorm_ess_sup.equations._eqn_1
0.000015    18523 nnnorm_zero
0.000015    18524 filter.limsup_eq
0.000018    18525 filter.limsup_const_bot
0.000018    18526 ess_sup_const_bot
0.000018    18527 measure_theory.snorm_ess_sup_zero
0.000016    18528 measure_theory.snorm_eq_snorm'
0.000018    18529 finset.coe_injective
0.000020    18530 measure_theory.simple_func.coe_range
0.000019    18531 measure_theory.simple_func.coe_const
0.000018    18532 eq_iff_eq_cancel_left
0.000018    18533 set.singleton_eq_singleton_iff
0.000016    18534 measure_theory.simple_func.range_const
0.000018    18535 set.preimage_const_of_mem
0.000018    18536 set.eq_empty_of_not_nonempty
0.000019    18537 measure_theory.measure.eq_zero_of_not_nonempty
0.000018    18538 measure_theory.measure.coe_zero
0.000016    18539 measure_theory.simple_func.const_lintegral
0.000017    18540 bsupr_le
0.000016    18541 measure_theory.simple_func.has_le
0.000017    18542 measure_theory.measure.partial_order._proof_1
0.000020    18543 measure_theory.measure.partial_order._proof_2
0.000016    18544 measure_theory.measure.partial_order._proof_3
0.000015    18545 measure_theory.measure.partial_order._proof_4
0.000018    18546 measure_theory.measure.partial_order
0.000018    18547 measure_theory.simple_func.bind._proof_1
0.000018    18548 measure_theory.simple_func.bind._proof_2
0.000018    18549 measure_theory.simple_func.bind
0.000018    18550 measure_theory.simple_func.map
0.000018    18551 measure_theory.simple_func.seq
0.000017    18552 measure_theory.simple_func.has_sup
0.000018    18553 measure_theory.simple_func.pair
0.000018    18554 measure_theory.simple_func.coe_map
0.000018    18555 measure_theory.simple_func.range_map
0.000018    18556 exists_eq_right_right'
0.000018    18557 finset.bUnion_filter_eq_of_maps_to
0.000017    18558 finset.sum_fiberwise_of_maps_to
0.000018    18559 finset.sum_image'
0.000018    18560 set.preimage_inter_range
0.000018    18561 measure_theory.simple_func.map_preimage
0.000018    18562 measure_theory.simple_func.map_preimage_singleton
0.000018    18563 set.pairwise_on_disjoint_fiber
0.000017    18564 set.preimage_bUnion
0.000018    18565 set.bUnion_preimage_singleton
0.000018    18566 finset.set_bUnion_preimage_singleton
0.000018    18567 measure_theory.sum_measure_preimage_singleton
0.000018    18568 measure_theory.simple_func.sum_measure_preimage_singleton
0.000018    18569 measure_theory.simple_func.map_lintegral
0.000018    18570 measure_theory.simple_func.sup_eq_map₂
0.000018    18571 measure_theory.simple_func.le_sup_lintegral
0.000018    18572 measure_theory.simple_func.preorder._proof_1
0.000018    18573 measure_theory.simple_func.preorder._proof_2
0.000018    18574 measure_theory.simple_func.preorder._proof_3
0.000018    18575 measure_theory.simple_func.preorder
0.000018    18576 measure_theory.simple_func.partial_order._proof_1
0.000018    18577 measure_theory.simple_func.partial_order._proof_2
0.000018    18578 measure_theory.simple_func.partial_order._proof_3
0.000017    18579 measure_theory.simple_func.cases_on
0.000018    18580 measure_theory.simple_func.coe_injective
0.000018    18581 measure_theory.simple_func.ext
0.000018    18582 measure_theory.simple_func.partial_order._proof_4
0.000018    18583 measure_theory.simple_func.partial_order
0.000018    18584 measure_theory.simple_func.semilattice_sup._proof_1
0.000018    18585 measure_theory.simple_func.semilattice_sup._proof_2
0.000018    18586 measure_theory.simple_func.semilattice_sup._proof_3
0.000017    18587 measure_theory.simple_func.semilattice_sup._proof_4
0.000018    18588 measure_theory.simple_func.semilattice_sup._proof_5
0.000018    18589 measure_theory.simple_func.semilattice_sup._proof_6
0.000018    18590 measure_theory.simple_func.semilattice_sup._proof_7
0.000018    18591 measure_theory.simple_func.semilattice_sup
0.000018    18592 measure_theory.simple_func.lintegral_mono
0.000018    18593 measure_theory.simple_func.lintegral_eq_lintegral
0.000018    18594 measure_theory.lintegral_const
0.000018    18595 measure_theory.snorm'_zero
0.000018    18596 nnreal.coe_pos
0.000018    18597 not_lt_zero'
0.000018    18598 with_top.zero_lt_top
0.000018    18599 ennreal.to_nnreal_pos_iff
0.000017    18600 ennreal.to_real_pos_iff
0.000018    18601 measure_theory.snorm_zero
0.000018    18602 measure_theory.Lp._proof_3
0.000018    18603 measure_theory.ae_eq_fun.comp₂_eq_pair
0.000018    18604 measure_theory.ae_eq_fun.pair_mk_mk
0.000018    18605 measure_theory.ae_eq_fun.pair_eq_mk
0.000018    18606 measure_theory.ae_eq_fun.comp₂_eq_mk
2.191694    18607 measure_theory.ae_eq_fun.coe_fn_comp₂
0.000075    18608 measure_theory.ae_eq_fun.coe_fn_add
0.000024    18609 measure_theory.mem_ℒp
0.000016    18610 nnnorm_add_le
0.000015    18611 countable_Inter_filter
0.000015    18612 set.set_of_forall
0.000015    18613 set.sInter_range
0.000015    18614 countable_Inter_filter.countable_sInter_mem_sets'
0.000015    18615 countable_sInter_mem_sets
0.000018    18616 countable_Inter_mem_sets
0.000018    18617 eventually_countable_forall
0.000018    18618 filter.Liminf
0.000016    18619 filter.liminf
0.000015    18620 filter.eventually_lt_of_lt_liminf
0.000015    18621 order_dual.conditionally_complete_lattice._proof_1
0.000015    18622 order_dual.conditionally_complete_lattice._proof_2
0.000018    18623 order_dual.conditionally_complete_lattice._proof_3
0.000018    18624 order_dual.conditionally_complete_lattice._proof_4
0.000016    18625 order_dual.conditionally_complete_lattice._proof_5
0.000014    18626 order_dual.conditionally_complete_lattice._proof_6
0.000018    18627 order_dual.conditionally_complete_lattice._proof_7
0.000016    18628 order_dual.conditionally_complete_lattice._proof_8
0.000017    18629 order_dual.conditionally_complete_lattice._proof_9
0.000019    18630 order_dual.conditionally_complete_lattice._proof_10
0.000015    18631 order_dual.conditionally_complete_lattice
0.000016    18632 order_dual.conditionally_complete_linear_order._proof_1
0.000017    18633 order_dual.conditionally_complete_linear_order._proof_2
0.000015    18634 order_dual.conditionally_complete_linear_order._proof_3
0.000019    18635 order_dual.conditionally_complete_linear_order._proof_4
0.000016    18636 order_dual.conditionally_complete_linear_order._proof_5
0.000017    18637 order_dual.conditionally_complete_linear_order._proof_6
0.000018    18638 order_dual.conditionally_complete_linear_order._proof_7
0.000018    18639 order_dual.conditionally_complete_linear_order._proof_8
0.000018    18640 order_dual.conditionally_complete_linear_order._proof_9
0.000018    18641 order_dual.conditionally_complete_linear_order._proof_10
0.000018    18642 order_dual.conditionally_complete_linear_order._proof_11
0.000017    18643 order_dual.conditionally_complete_linear_order._proof_12
0.000018    18644 order_dual.conditionally_complete_linear_order._proof_13
0.000018    18645 order_dual.conditionally_complete_linear_order._proof_14
0.000018    18646 order_dual.conditionally_complete_linear_order._proof_15
0.000018    18647 order_dual.conditionally_complete_linear_order
0.000029    18648 filter.eventually_lt_of_limsup_lt
0.000015    18649 ennreal.eventually_le_limsup
0.000015    18650 ennreal.limsup_add_le
0.000018    18651 measure_theory.outer_measure.Union_null
0.000019    18652 measure_theory.measure_Union_null
0.000017    18653 measure_theory.measure.ae.countable_Inter_filter
0.000018    18654 ennreal.ess_sup_add_le
0.000018    18655 measure_theory.snorm_ess_sup_add_le
0.000019    18656 measure_theory.lintegral_mono'
0.000017    18657 measure_theory.lintegral_mono
0.000018    18658 ennreal.measurable_space
0.000018    18659 one_div_one
0.000018    18660 real.sin_arcsin
0.000018    18661 abs_div
0.000018    18662 complex.abs_pos
0.000018    18663 complex.abs_im_div_abs_le_one
0.000018    18664 set.proj_Icc_coe
0.000018    18665 set.Icc_extend_coe
0.000017    18666 set.Icc_extend.equations._eqn_1
0.000019    18667 real.arcsin_proj_Icc
0.000018    18668 set.proj_Icc_of_le_left
0.000017    18669 real.arcsin_neg_one
0.000018    18670 real.arcsin_of_le_neg_one
0.000019    18671 set.proj_Icc_of_right_le
0.000017    18672 real.arcsin_one
0.000018    18673 real.arcsin_of_one_le
0.000018    18674 real.arcsin_le_pi_div_two
0.000018    18675 real.neg_pi_div_two_le_arcsin
0.000018    18676 real.arcsin_neg
0.000018    18677 complex.sin_arg
0.000018    18678 real.cos_arcsin_nonneg
0.000018    18679 eq_sub_iff_add_eq'
0.000018    18680 real.cos_arcsin
0.000018    18681 div_pow
0.000018    18682 _private.3573326013.cos_arg_of_re_nonneg
0.000017    18683 complex.arg_eq_arg_neg_add_pi_of_im_nonneg_of_re_neg
0.000018    18684 real.cos_add_pi
0.000018    18685 neg_ne_zero
0.000018    18686 complex.arg_eq_arg_neg_sub_pi_of_im_neg_of_re_neg
0.000018    18687 complex.cos_arg
0.000018    18688 complex.of_real_ne_zero
0.000018    18689 complex.exp_log
0.000018    18690 complex.cpow_one
0.000018    18691 real.rpow_one
0.000018    18692 nnreal.rpow_one
0.000017    18693 ennreal.rpow_one
0.000018    18694 measure_theory.lintegral_congr_ae
0.000018    18695 filter.eventually_eq.comp₂
0.000018    18696 filter.eventually_eq.add
0.000018    18697 measure_theory.simple_func.order_bot._proof_1
0.000016    18698 measure_theory.simple_func.order_bot._proof_2
0.000017    18699 measure_theory.simple_func.order_bot._proof_3
0.000017    18700 measure_theory.simple_func.order_bot._proof_4
0.000019    18701 measure_theory.simple_func.order_bot._proof_5
0.415603    18702 measure_theory.simple_func.order_bot
0.000076    18703 measure_theory.simple_func.semilattice_sup_bot._proof_1
0.000024    18704 measure_theory.simple_func.semilattice_sup_bot._proof_2
0.000016    18705 measure_theory.simple_func.semilattice_sup_bot._proof_3
0.000015    18706 measure_theory.simple_func.semilattice_sup_bot._proof_4
0.000015    18707 measure_theory.simple_func.semilattice_sup_bot._proof_5
0.000015    18708 measure_theory.simple_func.semilattice_sup_bot._proof_6
0.000015    18709 measure_theory.simple_func.semilattice_sup_bot._proof_7
0.000015    18710 measure_theory.simple_func.semilattice_sup_bot._proof_8
0.000017    18711 measure_theory.simple_func.semilattice_sup_bot
0.000018    18712 measure_theory.simple_func.approx
0.000016    18713 equiv.int_equiv_nat_sum_nat._proof_1
0.000018    18714 equiv.int_equiv_nat_sum_nat._proof_2
0.000016    18715 equiv.int_equiv_nat_sum_nat
0.000016    18716 equiv.bool_prod_equiv_sum
0.000014    18717 equiv.bool_prod_nat_equiv_nat._match_1
0.000017    18718 equiv.bool_prod_nat_equiv_nat._match_1.equations._eqn_1
0.000018    18719 equiv.bool_prod_nat_equiv_nat._match_2
0.000018    18720 equiv.bool_prod_nat_equiv_nat._proof_1
0.000016    18721 equiv.bool_prod_nat_equiv_nat._proof_2
0.000017    18722 equiv.bool_prod_nat_equiv_nat
0.000020    18723 equiv.nat_sum_nat_equiv_nat
0.000015    18724 equiv.int_equiv_nat
0.000018    18725 encodable.int
0.000018    18726 rat.encodable._match_1
0.000018    18727 rat.encodable._match_2
0.000018    18728 rat.encodable._match_3
0.000018    18729 rat.encodable._proof_1
0.000018    18730 rat.encodable._match_4
0.000018    18731 rat.encodable._proof_2
0.000018    18732 rat.encodable
0.000017    18733 measure_theory.simple_func.ennreal_rat_embed
0.000018    18734 measure_theory.simple_func.eapprox
0.000018    18735 measure_theory.simple_func.eapprox.equations._eqn_1
0.000018    18736 measure_theory.simple_func.sup_apply
0.000018    18737 measure_theory.simple_func.finset_sup_apply
0.000018    18738 is_closed.measurable_set
0.000018    18739 measurable_set_Ici
0.000018    18740 measure_theory.simple_func.approx_apply
0.000018    18741 measure_theory.simple_func.supr_approx_apply
0.000018    18742 ennreal.borel_space
0.000017    18743 measure_theory.simple_func.ennreal_rat_embed.equations._eqn_1
0.000018    18744 measure_theory.simple_func.ennreal_rat_embed_encode
0.000018    18745 measure_theory.simple_func.supr_eapprox_apply
0.000018    18746 ennreal.add_supr
0.000018    18747 supr_eq_bot
0.000018    18748 ennreal.supr_eq_zero
0.000016    18749 ennreal.supr_add_supr
0.000017    18750 ennreal.supr_add_supr_of_monotone
0.000018    18751 measure_theory.simple_func.monotone_approx
0.000018    18752 measure_theory.simple_func.monotone_eapprox
0.000018    18753 ennreal.coe_to_nnreal_le_self
0.000018    18754 lt_Sup_iff
0.000017    18755 Sup_eq_top
0.000018    18756 supr_eq_top
0.000018    18757 ennreal.div_lt_iff
0.000018    18758 with_top.can_lift._proof_1
0.000018    18759 with_top.can_lift
0.000018    18760 with_top.mul_lt_top
0.000018    18761 ennreal.mul_lt_top
0.000018    18762 ennreal.mul_ne_top
0.000018    18763 ennreal.exists_nat_pos_mul_gt
0.000018    18764 ennreal.exists_nat_mul_gt
0.000017    18765 set.indicator_comp_of_zero
0.000018    18766 measure_theory.simple_func.restrict_of_not_measurable
0.000018    18767 measure_theory.simple_func.coe_zero
0.000018    18768 pi.comp_zero
0.000018    18769 pi.const_zero
0.000018    18770 measure_theory.simple_func.map_restrict_of_zero
0.000018    18771 measure_theory.simple_func.map_coe_ennreal_restrict
0.000018    18772 measure_theory.simple_func.map_const
0.000018    18773 measure_theory.simple_func.mem_range_self
0.000018    18774 set.indicator_preimage
0.000018    18775 pi.zero_def
0.000016    18776 set.preimage_const_of_not_mem
0.000015    18777 bot_sdiff
0.000017    18778 set.empty_diff
0.000018    18779 set.ite_empty_right
0.000018    18780 set.indicator_preimage_of_not_mem
0.000018    18781 measure_theory.simple_func.restrict_preimage
0.000018    18782 measure_theory.simple_func.restrict_preimage_singleton
0.000018    18783 measure_theory.simple_func.restrict_lintegral
0.000018    18784 measure_theory.simple_func.lintegral_restrict
0.000018    18785 measure_theory.simple_func.restrict_lintegral_eq_lintegral_restrict
0.000018    18786 measure_theory.simple_func.const_lintegral_restrict
0.000018    18787 measure_theory.simple_func.restrict_const_lintegral
0.000018    18788 lt_supr_iff
0.000018    18789 add_monoid_hom.map_indicator
0.000018    18790 ennreal.coe_indicator
0.000018    18791 set.indicator_apply_le'
0.000018    18792 set.indicator_le'
0.000018    18793 set.indicator_le
0.000017    18794 measure_theory.lintegral_eq_nnreal
0.000018    18795 closure_Iio'
0.000018    18796 nhds_within_Iio_ne_bot'
0.000018    18797 nhds_within_Iio_self_ne_bot'
0.000018    18798 ennreal.tendsto.mul_const
0.000018    18799 ennreal.continuous_at_mul_const
0.694966    18800 filter.eventually_inf_principal
0.000076    18801 eventually_nhds_within_iff
0.000025    18802 ennreal.le_of_forall_lt_one_mul_le
0.000015    18803 measure_theory.simple_func.has_mul
0.000015    18804 measure_theory.simple_func.const_mul_lintegral
0.000015    18805 ennreal.mul_Sup
0.000015    18806 ennreal.mul_supr
0.000015    18807 ennreal.supr_zero_eq_zero
0.000015    18808 ennreal.finset_sum_supr_nat
0.000018    18809 measurable_set_le'
0.000018    18810 measurable_set_le
0.000016    18811 set.Union_eq_range_sigma
0.000018    18812 set.countable_Union
0.000016    18813 set.countable.bUnion
0.000018    18814 set.countable.union
0.000018    18815 set.countable_singleton
0.000016    18816 set.countable.insert
0.000017    18817 ennreal.topological_space.second_countable_topology
0.000016    18818 measure_theory.simple_func.map_apply
0.000019    18819 set.indicator_apply_le
0.000018    18820 pi.has_Sup
0.000019    18821 pi.has_Inf
0.000018    18822 Inf_apply
0.000016    18823 set.image_eq_range
0.000017    18824 infi_apply
0.000016    18825 supr_apply
0.000019    18826 monotone.le_map_supr
0.000018    18827 pi.has_top
0.000019    18828 pi.semilattice_sup_top._proof_1
0.000016    18829 pi.semilattice_sup_top._proof_2
0.000018    18830 pi.semilattice_sup_top._proof_3
0.000019    18831 pi.semilattice_sup_top._proof_4
0.000018    18832 pi.semilattice_sup_top._proof_5
0.000018    18833 pi.semilattice_sup_top._proof_6
0.000018    18834 pi.semilattice_sup_top._proof_7
0.000018    18835 pi.semilattice_sup_top._proof_8
0.000018    18836 pi.semilattice_sup_top._proof_9
0.000018    18837 pi.has_sup
0.000018    18838 pi.semilattice_sup_top._proof_10
0.000018    18839 pi.semilattice_sup_top._proof_11
0.000018    18840 pi.semilattice_sup_top._proof_12
0.000018    18841 pi.semilattice_sup_top
0.000018    18842 pi.bounded_lattice._proof_1
0.000018    18843 pi.bounded_lattice._proof_2
0.000018    18844 pi.bounded_lattice._proof_3
0.000018    18845 pi.bounded_lattice._proof_4
0.000018    18846 pi.bounded_lattice._proof_5
0.000018    18847 pi.bounded_lattice._proof_6
0.000018    18848 pi.bounded_lattice._proof_7
0.000017    18849 pi.bounded_lattice._proof_8
0.000018    18850 pi.bounded_lattice._proof_9
0.000018    18851 pi.bounded_lattice._proof_10
0.000018    18852 pi.bounded_lattice._proof_11
0.000018    18853 pi.bounded_lattice._proof_12
0.000018    18854 pi.bounded_lattice
0.000018    18855 pi.complete_lattice._proof_1
0.000018    18856 pi.complete_lattice._proof_2
0.000017    18857 pi.complete_lattice._proof_3
0.000018    18858 pi.complete_lattice._proof_4
0.000018    18859 pi.complete_lattice._proof_5
0.000018    18860 pi.complete_lattice._proof_6
0.000018    18861 pi.complete_lattice._proof_7
0.000018    18862 pi.complete_lattice._proof_8
0.000018    18863 pi.complete_lattice._proof_9
0.000018    18864 pi.complete_lattice._proof_10
0.000018    18865 pi.complete_lattice._proof_11
0.000015    18866 pi.complete_lattice._proof_12
0.000015    18867 pi.complete_lattice._proof_13
0.000017    18868 pi.complete_lattice._proof_14
0.000019    18869 pi.complete_lattice._proof_15
0.000017    18870 pi.complete_lattice._proof_16
0.000019    18871 pi.complete_lattice
0.000018    18872 measure_theory.monotone_lintegral
0.000018    18873 measure_theory.supr_lintegral_le
0.000018    18874 measure_theory.lintegral_supr
0.000018    18875 measure_theory.simple_func.has_add
0.000018    18876 measure_theory.simple_func.add_eq_map₂
0.000018    18877 measure_theory.simple_func.add_lintegral
0.000018    18878 measure_theory.lintegral_eq_supr_eapprox_lintegral
0.000018    18879 measure_theory.lintegral_add
0.000018    18880 measure_theory.lintegral_add'
0.000018    18881 real.is_conjugate_exponent
0.000018    18882 real.rpow_add
0.000018    18883 nnreal.rpow_add
0.000018    18884 ennreal.rpow_add
0.000018    18885 ennreal.top_rpow_of_neg
0.000017    18886 ennreal.zero_rpow_of_neg
0.000019    18887 nnreal.coe_rpow
0.000017    18888 real.rpow_eq_zero_iff_of_nonneg
0.000018    18889 nnreal.rpow_eq_zero_iff
0.000018    18890 ennreal.rpow_eq_zero_iff
0.000019    18891 ennreal.rpow_eq_top_iff
0.000018    18892 ennreal.rpow_eq_top_of_nonneg
0.000018    18893 real.is_conjugate_exponent.one_lt
0.000018    18894 real.is_conjugate_exponent.pos
0.000018    18895 real.is_conjugate_exponent.nonneg
0.000019    18896 ennreal.mul_le_mul_right
0.000018    18897 real.is_conjugate_exponent.inv_add_inv_conj
0.000017    18898 tactic.ring.unfold_div
0.000019    18899 real.is_conjugate_exponent.sub_one_pos
0.000017    18900 has_measurable_mul₂
0.000018    18901 has_measurable_mul₂.measurable_mul
0.000018    18902 ae_measurable.mul
0.000018    18903 subtype.measurable_space
0.000018    18904 real.measurable_space
0.000018    18905 nnreal.measurable_space
0.000018    18906 measurable_equiv
0.000018    18907 sum.measurable_space
0.000018    18908 punit.measurable_space
0.000018    18909 measurable_equiv.to_equiv
0.000017    18910 measurable_equiv.measurable_to_fun
0.000018    18911 measurable_equiv.trans._proof_1
0.000018    18912 measurable_equiv.measurable_inv_fun
0.202847    18913 measurable_equiv.trans._proof_2
0.000076    18914 measurable_equiv.trans
0.000024    18915 measurable.fst
0.000016    18916 measurable_id
0.000015    18917 measurable.snd
0.000015    18918 measurable_equiv.prod_congr._proof_1
0.000015    18919 measurable_equiv.prod_congr._proof_2
0.000015    18920 measurable_equiv.prod_congr
0.000015    18921 ennreal.ennreal_equiv_sum._proof_1
0.000021    18922 ennreal.ennreal_equiv_sum._proof_2
0.000018    18923 measurable_singleton_class
0.000016    18924 set.inter_distrib_left
0.000018    18925 measurable_set.subtype_image
0.000020    18926 measurable_of_measurable_union_cover
0.000019    18927 measurable_singleton_class.measurable_set_singleton
0.000025    18928 measurable_set_eq
0.000018    18929 subsingleton.eq_univ_of_nonempty
0.000016    18930 subsingleton.set_cases
0.000015    18931 subsingleton.measurable_set
0.000015    18932 subsingleton.measurable
0.000015    18933 measurable_of_measurable_on_compl_singleton
0.000014    18934 opens_measurable_space.to_measurable_singleton_class
0.000018    18935 measurable_equiv.has_coe_to_fun
0.000016    18936 measurable_equiv.symm
0.000017    18937 homeomorph.to_measurable_equiv._proof_1
0.000018    18938 homeomorph.to_measurable_equiv._proof_2
0.000016    18939 homeomorph.to_measurable_equiv
0.000015    18940 subtype.measurable_space.equations._eqn_1
0.000015    18941 measurable_space.comap_generate_from
0.000018    18942 borel_comap
0.000016    18943 subtype.borel_space
0.000018    18944 measurable_equiv.ennreal_equiv_nnreal._proof_1
0.000018    18945 real.borel_space
0.000018    18946 nnreal.borel_space
0.000018    18947 ennreal.ne_top_homeomorph_nnreal._proof_1
0.000018    18948 ennreal.ne_top_homeomorph_nnreal._proof_2
0.000018    18949 ennreal.nhds_coe
0.000018    18950 ennreal.tendsto_to_nnreal
0.000018    18951 ennreal.continuous_on_to_nnreal
0.000018    18952 ennreal.ne_top_homeomorph_nnreal._proof_3
0.000016    18953 inducing.continuous
0.000015    18954 embedding.continuous
0.000017    18955 ennreal.continuous_coe
0.000018    18956 ennreal.ne_top_homeomorph_nnreal._proof_4
0.000018    18957 ennreal.ne_top_homeomorph_nnreal
0.000018    18958 measurable_equiv.ennreal_equiv_nnreal
0.000018    18959 measurable_equiv.symm_to_equiv
0.000018    18960 measurable_equiv.trans_to_equiv
0.000019    18961 measurable_equiv.measurable
0.000017    18962 measurable_equiv.measurable_coe_iff
0.000019    18963 ennreal.measurable_of_measurable_nnreal
0.000017    18964 measurable_inl
0.000019    18965 ennreal.ennreal_equiv_sum._proof_3
0.000017    18966 measurable_sum
0.000018    18967 measurable.ennreal_coe
0.000018    18968 ennreal.measurable_coe
0.000018    18969 ennreal.ennreal_equiv_sum._proof_4
0.000018    18970 ennreal.ennreal_equiv_sum
0.000018    18971 measurable_equiv.refl
0.000018    18972 measurable_set.inl_image
0.000018    18973 measurable_set_range_inl
0.000018    18974 measurable_set_inr_image
0.000018    18975 measurable_set_range_inr
0.000018    18976 set.prod_eq
0.000018    18977 measurable.subtype_mk
0.000018    18978 measurable_space.gc_comap_map
0.000018    18979 measurable_space.le_map_comap
0.000018    18980 measurable_subtype_coe
0.000018    18981 measurable.subtype_coe
0.000018    18982 measurable_equiv.set.prod._proof_1
0.000018    18983 measurable_equiv.set.prod._proof_2
0.000018    18984 measurable_equiv.set.prod
0.000018    18985 measurable_equiv.set.range_inl._match_1
0.000018    18986 measurable_equiv.set.range_inl._proof_1
0.000018    18987 measurable_equiv.set.range_inl._proof_2
0.000018    18988 measurable_equiv.set.range_inl._proof_3
0.000018    18989 measurable_equiv.set.range_inl._match_1.equations._eqn_1
0.000018    18990 measurable_equiv.set.range_inl._proof_4
0.000018    18991 measurable_equiv.set.range_inl._proof_5
0.000017    18992 measurable_equiv.set.range_inl
0.000019    18993 measurable_equiv.set.univ._proof_1
0.000017    18994 measurable_equiv.set.univ._proof_2
0.000018    18995 measurable_equiv.set.univ
0.000018    18996 measurable_equiv.set.range_inr._match_1
0.000018    18997 measurable_equiv.set.range_inr._proof_1
0.000018    18998 measurable_equiv.set.range_inr._proof_2
0.000018    18999 measurable_equiv.set.range_inr._proof_3
0.000018    19000 measurable_equiv.set.range_inr._match_1.equations._eqn_2
0.000018    19001 measurable_equiv.set.range_inr._proof_4
0.000018    19002 measurable_inr
0.000018    19003 measurable_equiv.set.range_inr._proof_5
0.000016    19004 measurable_equiv.set.range_inr
0.000017    19005 measurable_equiv.sum_prod_distrib._proof_1
0.000018    19006 measurable_equiv.sum_prod_distrib._proof_2
0.000019    19007 measurable_equiv.sum_prod_distrib
0.000018    19008 ennreal.measurable_of_measurable_nnreal_prod
0.000018    19009 measurable_swap
0.000018    19010 measurable_swap_iff
0.000018    19011 ennreal.measurable_of_measurable_nnreal_nnreal
0.000018    19012 has_continuous_mul.has_measurable_mul₂
0.000032    19013 induced_generate_from_eq
2.593319    19014 topological_space.second_countable_topology_induced
0.000077    19015 topological_space.subtype.second_countable_topology
0.000022    19016 sigma_compact_space
0.000015    19017 topological_space.separable_space
0.000016    19018 topological_space.separable_space.exists_countable_dense
0.000016    19019 topological_space.exists_countable_dense
0.000014    19020 filter.has_basis.restrict
0.000019    19021 nhdset_of_mem_uniformity
0.000017    19022 subset_interior_iff_subset_of_open
0.000017    19023 filter.lift_mono'
0.000017    19024 filter.lift_lift'_assoc
0.000016    19025 uniformity_lift_le_comp
0.000015    19026 comp_le_uniformity3
0.000017    19027 filter.mem_lift'
0.000019    19028 uniformity_eq_uniformity_interior
0.000017    19029 interior_mem_uniformity
0.000016    19030 uniformity_has_basis_open
0.000015    19031 uniformity_has_basis_open_symmetric
0.000018    19032 uniform_space.is_open_ball
0.000015    19033 mem_closure_iff
0.000018    19034 dense_iff_closure_eq
0.000016    19035 dense.closure_eq
0.000015    19036 dense_iff_inter_open
0.000017    19037 dense.inter_open_nonempty
0.000018    19038 uniform_space.mem_ball_self
0.000016    19039 mem_ball_comp
0.000017    19040 ball_subset_of_comp_subset
0.000016    19041 uniform_space.second_countable_of_separable
0.000018    19042 emetric.second_countable_of_separable
0.000016    19043 set.accumulate
0.000017    19044 sigma_compact_space.exists_compact_covering
0.000018    19045 compact_covering
0.000018    19046 emetric.closed_ball
0.000018    19047 set.countable_empty
0.000017    19048 edist_triangle_right
0.000018    19049 emetric.subset_countable_closure_of_almost_dense_set
0.000018    19050 totally_bounded_iff_subset
0.000018    19051 emetric.totally_bounded_iff'
0.000018    19052 is_compact.totally_bounded
0.000018    19053 emetric.mem_closed_ball
0.000018    19054 emetric.ball_subset_closed_ball
0.000018    19055 emetric.subset_countable_closure_of_compact
0.000018    19056 filter.bInter_finset_mem_sets
0.000016    19057 finset.Inter_mem_sets
0.000017    19058 compact_of_finite_subfamily_closed
0.000018    19059 compact_of_finite_subcover
0.000018    19060 set.finite.compact_bUnion
0.000017    19061 compact_accumulate
0.000018    19062 is_compact_compact_covering
0.000018    19063 compact_covering.equations._eqn_1
0.000018    19064 set.mem_accumulate
0.000015    19065 set.subset_accumulate
0.000018    19066 set.Union_accumulate
0.000018    19067 Union_compact_covering
0.000017    19068 emetric.second_countable_of_sigma_compact
0.000018    19069 subsingleton.le
0.000018    19070 exists_nat_ge
0.000018    19071 second_countable_of_proper
0.000017    19072 real.topological_space.second_countable_topology
0.000018    19073 nnreal.topological_space.second_countable_topology
0.000018    19074 nnreal.metric_space
0.000018    19075 ennreal.has_measurable_mul₂
0.000018    19076 has_measurable_pow
0.000018    19077 has_measurable_pow.measurable_pow
0.000018    19078 ae_measurable.pow
0.000017    19079 ae_measurable.pow_const
0.000018    19080 ennreal.coe_rpow_def
0.000018    19081 measurable.ite
0.000018    19082 measurable_set_Iio
0.000018    19083 measurable.pow
0.000018    19084 complex.measurable_space
0.000016    19085 complex.borel_space
0.000018    19086 complex.continuous_re
0.000018    19087 complex.measurable_re
0.000017    19088 measurable_one
0.000018    19089 measurable_zero
0.000018    19090 complex.measurable_exp
0.000018    19091 measurable.cexp
0.000017    19092 measurable.mul
0.000018    19093 complex.isometry_of_real
0.000018    19094 complex.continuous_of_real
0.000018    19095 complex.measurable_of_real
0.000018    19096 measurable_space.comap_mono
0.000018    19097 subtype.opens_measurable_space
0.000018    19098 continuous_generated_from
0.000018    19099 order_iso.to_order_embedding
0.000018    19100 order_iso.lt_iff_lt
0.000017    19101 order_iso.preimage_Ioi
0.000018    19102 order_iso.preimage_Iio
0.000018    19103 order_iso.continuous
0.000018    19104 continuous.norm
0.000017    19105 continuous_subtype_coe
0.000018    19106 real.continuous_on_log
0.000018    19107 real.measurable_log
0.000016    19108 measurable_norm
0.000017    19109 has_measurable_mul
0.000018    19110 has_measurable_mul.measurable_mul_const
0.000017    19111 measurable.mul_const
0.000018    19112 has_continuous_mul.has_measurable_mul
0.000018    19113 complex.im_lm._proof_1
0.000018    19114 complex.im_lm
0.000017    19115 complex.im_lm_coe
0.000018    19116 complex.im_clm._proof_1
0.000018    19117 complex.im_clm
0.000018    19118 complex.continuous_im
0.000018    19119 has_measurable_add
0.000018    19120 has_measurable_add.measurable_add_const
0.000017    19121 measurable.add_const
0.000018    19122 has_continuous_add.has_measurable_add
0.000018    19123 has_measurable_sub
0.000018    19124 has_measurable_sub.measurable_sub_const
0.000018    19125 measurable.sub_const
0.000018    19126 has_continuous_sub.has_measurable_sub
0.000017    19127 continuous_proj_Icc
0.000018    19128 continuous.Icc_extend
0.000016    19129 set.ord_connected_Icc
0.000015    19130 real.continuous_arcsin
4.877685    19131 real.measurable_arcsin
0.000076    19132 has_measurable_div₂
0.000024    19133 has_measurable_div₂.measurable_div
0.000016    19134 measurable.div
0.000015    19135 has_measurable_inv
0.000015    19136 has_measurable_inv.measurable_inv
0.000015    19137 measurable.inv
0.000015    19138 has_measurable_div₂_of_mul_inv
0.000015    19139 has_continuous_inv'
0.000015    19140 measurable_of_continuous_on_compl_singleton
0.000018    19141 has_continuous_inv'.continuous_at_inv'
0.000018    19142 continuous_on_inv'
0.000018    19143 has_continuous_inv'.has_measurable_inv
0.000016    19144 is_open.eventually_mem
0.000017    19145 continuous.tendsto'
0.000020    19146 continuous.div_const
0.000017    19147 normed_field.has_continuous_inv'._proof_1
0.000018    19148 normed_field.has_continuous_inv'
0.000018    19149 complex.measurable_im
0.000016    19150 complex.measurable_arg
0.000017    19151 complex.measurable_log
0.000018    19152 measurable.clog
0.000019    19153 complex.has_measurable_pow._proof_1
0.000018    19154 complex.has_measurable_pow
0.000018    19155 real.has_measurable_pow._proof_1
0.000018    19156 real.has_measurable_pow
0.000018    19157 nnreal.continuous_coe
0.000018    19158 nnreal.measurable_coe
0.000018    19159 measurable.nnreal_coe
0.000018    19160 nnreal.real.has_measurable_pow._proof_1
0.000018    19161 nnreal.real.has_measurable_pow
0.000017    19162 measurable_set_Ioi
0.000019    19163 ennreal.real.has_measurable_pow._proof_1
0.000017    19164 ennreal.real.has_measurable_pow
0.000018    19165 ae_measurable.add
0.000018    19166 measure_theory.lintegral_zero_fun
0.000018    19167 pi.mul_zero_class._proof_1
0.000018    19168 pi.mul_zero_class._proof_2
0.000017    19169 pi.mul_zero_class
0.000019    19170 filter.eventually_eq.mul
0.000017    19171 measure_theory.ae_all_iff
0.000016    19172 ennreal.coe_nat_ne_top
0.000017    19173 measure_theory.mul_meas_ge_le_lintegral
0.000018    19174 measure_theory.lintegral_zero
0.000018    19175 measure_theory.lintegral_eq_zero_iff
0.000017    19176 measure_theory.lintegral_eq_zero_iff'
0.000018    19177 ennreal.ae_eq_zero_of_lintegral_rpow_eq_zero
0.000018    19178 ennreal.lintegral_mul_eq_zero_of_lintegral_rpow_eq_zero
0.000018    19179 pi.comm_semigroup._proof_1
0.000018    19180 pi.comm_semigroup._proof_2
0.000018    19181 pi.comm_semigroup
0.000018    19182 field.to_nontrivial
0.000018    19183 sub_div'
0.000018    19184 real.is_conjugate_exponent.ne_zero
0.000017    19185 div_div_eq_mul_div
0.000018    19186 real.is_conjugate_exponent.conj_eq
0.000018    19187 one_lt_div
0.000018    19188 sub_one_lt
0.000018    19189 real.is_conjugate_exponent.symm
0.000018    19190 ennreal.lintegral_mul_le_Lp_mul_Lq_of_ne_zero_of_eq_top
0.000017    19191 ennreal.fun_mul_inv_snorm
0.000018    19192 measure_theory.lintegral_congr
0.000018    19193 pi.mul_apply
0.000018    19194 ennreal.fun_mul_inv_snorm.equations._eqn_1
0.000018    19195 ennreal.inv_mul_cancel
0.000017    19196 ennreal.fun_eq_fun_mul_inv_snorm_mul_snorm
0.000018    19197 measure_theory.lintegral.equations._eqn_1
0.000018    19198 measure_theory.lintegral_const_mul_le
0.000018    19199 measure_theory.lintegral_const_mul'
0.000018    19200 measure_theory.lintegral_mul_const'
0.000018    19201 ennreal.coe_div
0.000018    19202 complex.of_real_cpow
0.000017    19203 complex.norm_sq_one
0.000018    19204 complex.abs_one
0.000018    19205 real.log_one
0.000018    19206 complex.arg_one
0.000017    19207 complex.log_one
0.000018    19208 complex.abs_exp_of_real
0.000018    19209 complex.abs_cos_add_sin_mul_I
0.000018    19210 div_eq_div_iff
0.000018    19211 complex.arg_eq_arg_iff
0.000017    19212 complex.arg_real_mul
0.000018    19213 real.arcsin_sin'
0.000018    19214 real.arcsin_sin
0.000018    19215 real.sin_add_pi
0.000018    19216 real.sin_neg_of_neg_of_neg_pi_lt
0.000017    19217 real.sin_nonneg_of_nonneg_of_le_pi
0.000018    19218 complex.arg_cos_add_sin_mul_I
0.000018    19219 complex.exp_inj_of_neg_pi_lt_of_le_pi
0.000018    19220 strict_mono.comp_strict_mono_incr_on
0.000016    19221 subtype.strict_mono_coe
0.000015    19222 set.strict_mono_incr_on_proj_Icc
0.000018    19223 strict_mono.strict_mono_incr_on_Icc_extend
0.000017    19224 order_iso.strict_mono
0.000019    19225 real.strict_mono_incr_on_arcsin
0.000018    19226 real.arcsin_le_iff_le_sin
0.000018    19227 set.mem_Icc_of_Ico
0.000017    19228 real.arcsin_le_iff_le_sin'
0.000018    19229 real.le_arcsin_iff_sin_le'
0.000018    19230 neg_lt_zero
0.000018    19231 real.arcsin_nonneg
0.000018    19232 real.arcsin_nonpos
0.000018    19233 real.arcsin_pos
0.000017    19234 complex.neg_pi_lt_arg
0.000018    19235 complex.arg_le_pi
0.000018    19236 complex.log_exp
0.000018    19237 complex.cpow_mul
0.000018    19238 real.rpow_mul
0.000018    19239 fin.sum_univ_succ_above
0.000017    19240 fin.sum_univ_succ
0.000018    19241 fin.sum_univ_zero
0.000018    19242 ring_hom.map_prod
0.000018    19243 nnreal.coe_prod
0.000018    19244 multiset.decidable_dexists_multiset._proof_1
0.000018    19245 multiset.decidable_exists_multiset._proof_1
5.994262    19246 multiset.decidable_exists_multiset
0.000077    19247 multiset.decidable_dexists_multiset._proof_2
0.000024    19248 multiset.decidable_dexists_multiset._match_1
0.000015    19249 multiset.decidable_dexists_multiset._match_2
0.000015    19250 multiset.decidable_dexists_multiset._proof_3
0.000016    19251 multiset.decidable_dexists_multiset
0.000015    19252 finset.decidable_dexists_finset
0.000015    19253 real.exp_sum
0.000014    19254 finset.center_mass
0.000015    19255 finset.center_mass.equations._eqn_1
0.000019    19256 add_monoid_hom.fst._proof_1
0.000018    19257 add_monoid_hom.fst._proof_2
0.000016    19258 add_monoid_hom.fst
0.000015    19259 prod.fst_sum
0.000015    19260 add_monoid_hom.snd._proof_1
0.000019    19261 add_monoid_hom.snd._proof_2
0.000016    19262 add_monoid_hom.snd
0.000017    19263 prod.snd_sum
0.000016    19264 finset.sum_eq_zero_iff_of_nonneg
0.000015    19265 finset.center_mass_insert
0.000015    19266 convex_iff_div
0.000015    19267 convex.center_mass_mem
0.000018    19268 convex_on.convex_epigraph
0.000016    19269 convex_on.map_center_mass_le
0.000017    19270 convex_on.map_sum_le
0.000018    19271 linear_order.convex_on_of_lt
0.000016    19272 div_le_div_iff
0.000015    19273 convex_on_real_of_slope_mono_adjacent
0.000018    19274 is_min_filter
0.000018    19275 is_max_filter
0.000016    19276 is_extr_filter
0.000017    19277 is_local_extr
0.000018    19278 is_local_min
0.000016    19279 is_local_max
0.000018    19280 is_local_extr.elim
0.000018    19281 continuous_linear_map.ext_iff
0.000016    19282 is_local_min_on
0.000015    19283 pos_tangent_cone_at
0.000015    19284 is_local_max_on
0.000017    19285 filter.tendsto_at_top_mono
0.000018    19286 is_local_max_on.has_fderiv_within_at_nonpos
0.000018    19287 linear_map.map_neg
0.000018    19288 continuous_linear_map.map_neg
0.000018    19289 is_local_max_on.has_fderiv_within_at_eq_zero
0.000018    19290 is_max_filter.comp_mono
0.000018    19291 is_max_filter_dual_iff
0.000018    19292 is_min_filter.dual
0.000019    19293 is_min_filter.comp_antimono
0.000018    19294 is_min_filter.neg
0.000018    19295 is_local_min_on.neg
0.000018    19296 has_fderiv_within_at.neg
0.000018    19297 is_local_min_on.has_fderiv_within_at_eq_zero
0.000018    19298 is_min_filter.filter_mono
0.000018    19299 is_min_filter.filter_inf
0.000018    19300 is_local_min.on
0.000018    19301 one_le_two
0.000018    19302 mem_pos_tangent_cone_at_of_segment_subset
0.000016    19303 mem_pos_tangent_cone_at_of_segment_subset'
0.000018    19304 pos_tangent_cone_at_univ
0.000018    19305 is_local_min.has_fderiv_at_eq_zero
0.000018    19306 is_local_min.has_deriv_at_eq_zero
0.000018    19307 is_min_filter.comp_mono
0.000018    19308 is_min_filter_dual_iff
0.000018    19309 is_max_filter.dual
0.000018    19310 is_max_filter.comp_antimono
0.000018    19311 is_max_filter.neg
0.000018    19312 is_local_max.neg
0.000018    19313 has_deriv_at.neg
0.000018    19314 is_local_max.has_deriv_at_eq_zero
0.000016    19315 is_local_extr.has_deriv_at_eq_zero
0.000015    19316 is_extr_on
0.000017    19317 is_local_extr_on
0.000018    19318 is_local_extr_on.elim
0.000018    19319 is_min_filter.is_extr
0.000018    19320 is_local_min_on.is_local_min
0.000018    19321 is_max_filter.is_extr
0.000018    19322 is_max_filter.filter_mono
0.000018    19323 is_local_max_on.is_local_max
0.000018    19324 is_local_extr_on.is_local_extr
0.000018    19325 is_extr_filter.filter_mono
0.000018    19326 is_extr_on.localize
0.000019    19327 is_extr_on.is_local_extr
0.000018    19328 is_open_Ioo
0.000018    19329 Ioo_mem_nhds
0.000018    19330 Icc_mem_nhds
0.000018    19331 is_glb.mem_of_is_closed
0.000018    19332 is_closed.cInf_mem
0.000018    19333 not.imp
0.000018    19334 set.univ_nonempty
0.000018    19335 bdd_above_empty
0.000018    19336 bdd_above.mono
0.000018    19337 bdd_above.union
0.000018    19338 bdd_above_union
0.000018    19339 is_lub.bdd_above
0.000018    19340 bdd_above_singleton
0.000018    19341 bdd_above_insert
0.000018    19342 bdd_above.insert
0.000018    19343 set.finite.bdd_above
0.000018    19344 set.finite.bdd_below
0.000018    19345 is_compact.bdd_below
0.000018    19346 is_compact.Inf_mem
0.000018    19347 is_compact.exists_Inf_image_eq
0.000018    19348 is_compact.is_glb_Inf
0.000018    19349 is_compact.exists_forall_le
0.000018    19350 set.nonempty_Icc
0.000018    19351 is_compact.exists_forall_ge
0.000019    19352 exists_Ioo_extr_on_Icc
0.000018    19353 exists_local_extr_Ioo
0.000018    19354 exists_has_deriv_at_eq_zero
0.000018    19355 has_deriv_at.const_mul
0.000018    19356 exists_ratio_has_deriv_at_eq_ratio_slope
0.000018    19357 pi.one_apply
0.000018    19358 exists_has_deriv_at_eq_slope
0.000018    19359 differentiable_within_at.differentiable_at
0.000018    19360 exists_deriv_eq_slope
0.000018    19361 set.nonempty.image_const
0.000018    19362 units.mul_right._proof_1
0.000018    19363 units.inv_mul_cancel_right
0.000018    19364 units.mul_right._proof_2
0.000018    19365 units.mul_right
0.000018    19366 set.mem_image_iff_of_inverse
0.000018    19367 equiv.image_eq_preimage
0.000018    19368 units.mul_right_symm
0.000018    19369 units.mul_right_apply
6.062045    19370 set.Ici_inter_Iic
0.000077    19371 set.preimage_mul_const_Ici
0.000024    19372 set.preimage_mul_const_Iic
0.000016    19373 set.preimage_mul_const_Icc
0.000015    19374 set.image_mul_right_Icc'
0.000015    19375 set.image_mul_right_Icc
0.000015    19376 set.image_add_left
0.000015    19377 set.preimage_add_const_Ici
0.000015    19378 set.preimage_add_const_Iic
0.000020    19379 set.preimage_add_const_Icc
0.000018    19380 set.image_const_add_Icc
0.000016    19381 segment_eq_Icc
0.000018    19382 segment_symm
0.000016    19383 segment_eq_Icc'
0.000017    19384 segment_eq_interval
0.000019    19385 set.ord_connected_def
0.000019    19386 set.ord_connected_iff
0.000018    19387 set.ord_connected_iff_interval_subset
0.000016    19388 real.convex_iff_ord_connected
0.000018    19389 convex.ord_connected
0.000019    19390 differentiable_on.mono
0.000016    19391 set.Icc_subset_Icc_left
0.000017    19392 convex_on_of_deriv_mono
0.000018    19393 convex.mul_sub_le_image_sub_of_le_deriv
0.000016    19394 convex.mono_of_deriv_nonneg
0.000019    19395 set.has_add
0.000015    19396 set.has_scalar_set
0.000019    19397 set.add_mem_add
0.000018    19398 convex_iff_pointwise_add_subset
0.000018    19399 set.image_smul
0.000018    19400 set.image2_subset
0.000018    19401 set.add_subset_add
0.000018    19402 set.Union_image_left
0.000018    19403 set.Union_add_left_image
0.000018    19404 homeomorph.preimage_symm
0.000018    19405 quotient_map
0.000018    19406 topological_space_eq_iff
0.000018    19407 quotient_map_iff
0.000018    19408 quotient_map.is_open_preimage
0.000018    19409 continuous_coinduced_rng
0.000018    19410 quotient_map.of_quotient_map_compose
0.000018    19411 homeomorph.self_comp_symm
0.000018    19412 coinduced_id
0.000018    19413 quotient_map.id
0.000018    19414 homeomorph.quotient_map
0.000018    19415 homeomorph.is_open_preimage
0.000016    19416 homeomorph.is_open_image
0.000015    19417 homeomorph.is_open_map
0.000017    19418 is_open_map_add_left
0.000018    19419 is_open.add_left
0.000018    19420 units.smul_inv_smul
0.000018    19421 units.smul_perm
0.000018    19422 units.smul_perm_hom._proof_1
0.000019    19423 units.smul_perm_hom._proof_2
0.000018    19424 units.smul_perm_hom
0.000018    19425 continuous.const_smul
0.000018    19426 homeomorph.smul_of_unit._proof_1
0.000018    19427 homeomorph.smul_of_unit._proof_2
0.000018    19428 homeomorph.smul_of_unit
0.000018    19429 is_unit.is_open_map_smul
0.000018    19430 is_open_map_smul'
0.000018    19431 set.Union_image_right
0.000018    19432 set.Union_add_right_image
0.000018    19433 is_open_map_add_right
0.000018    19434 is_open.add_right
0.000018    19435 convex.interior
0.000018    19436 interior_interior
0.000018    19437 convex_on_of_deriv2_nonneg
0.000018    19438 function.iterate_one
0.000018    19439 convex_on_open_of_deriv2_nonneg
0.000018    19440 differentiable.differentiable_on
0.000018    19441 convex_on_univ_of_deriv2_nonneg
0.000018    19442 real.deriv_exp
0.000018    19443 has_deriv_at_filter.comp_has_fderiv_at_filter
0.000018    19444 has_deriv_at_filter.mono
0.000018    19445 has_deriv_at.comp_has_fderiv_at
0.000018    19446 has_fderiv_at.exp
0.000018    19447 differentiable_at.exp
0.000018    19448 differentiable.exp
0.000018    19449 has_fderiv_at_id
0.000018    19450 differentiable_at_id
0.000018    19451 differentiable_id'
0.000018    19452 function.iterate_succ_apply
0.000018    19453 real.iter_deriv_exp
0.000018    19454 convex_on_exp
0.000018    19455 real.geom_mean_le_arith_mean_weighted
0.000018    19456 nnreal.geom_mean_le_arith_mean_weighted
0.000018    19457 nnreal.geom_mean_le_arith_mean2_weighted
0.000017    19458 real.geom_mean_le_arith_mean2_weighted
0.000018    19459 real.is_conjugate_exponent.one_div_pos
0.000018    19460 real.is_conjugate_exponent.one_div_nonneg
0.000018    19461 real.young_inequality_of_nonneg
0.000018    19462 nnreal.young_inequality
0.000018    19463 real.is_conjugate_exponent.one_lt_nnreal
0.000018    19464 nnreal.coe_inv
0.000018    19465 nnreal.of_real_inv
0.000018    19466 nnreal.of_real_div'
0.000018    19467 real.is_conjugate_exponent.inv_add_inv_conj_nnreal
0.000018    19468 nnreal.young_inequality_real
0.000018    19469 ennreal.young_inequality
0.000018    19470 ae_measurable.mul_const
0.000019    19471 has_measurable_mul₂.to_has_measurable_mul
0.000018    19472 measure_theory.lintegral_const_mul
0.000018    19473 measure_theory.lintegral_const_mul''
0.000018    19474 measure_theory.lintegral_mul_const''
0.000018    19475 ennreal.of_real_one
0.000018    19476 ennreal.of_real_mul
0.000018    19477 ennreal.of_real_inv_of_pos
0.000018    19478 ennreal.of_real_div_of_pos
0.000018    19479 real.is_conjugate_exponent.inv_add_inv_conj_ennreal
0.000018    19480 ennreal.lintegral_mul_le_one_of_lintegral_rpow_eq_one
0.000018    19481 real.log_mul
0.000018    19482 real.mul_rpow
0.000018    19483 nnreal.mul_rpow
0.000018    19484 ennreal.mul_rpow_of_ne_zero
0.000018    19485 ennreal.mul_rpow_of_nonneg
0.000019    19486 abs_inv
0.000018    19487 real.log_inv
0.000018    19488 real.inv_rpow
0.000018    19489 nnreal.inv_rpow
0.000018    19490 ennreal.inv_rpow_of_pos
3.839333    19491 complex.one_cpow
0.000078    19492 real.one_rpow
0.000022    19493 nnreal.one_rpow
0.000015    19494 ennreal.one_rpow
0.000015    19495 zero_lt_mul_right
0.000015    19496 nnreal.rpow_mul
0.000015    19497 ennreal.rpow_mul
0.000018    19498 ennreal.fun_mul_inv_snorm_rpow
0.000018    19499 ennreal.lintegral_rpow_fun_mul_inv_snorm_eq_one
0.000016    19500 ennreal.lintegral_mul_le_Lp_mul_Lq_of_ne_zero_of_ne_top
0.000018    19501 ennreal.lintegral_mul_le_Lp_mul_Lq
0.000015    19502 eq_div_iff
0.000015    19503 real.is_conjugate_exponent.sub_one_ne_zero
0.000016    19504 real.is_conjugate_exponent.sub_one_mul_conj
0.000015    19505 ennreal.lintegral_mul_rpow_le_lintegral_rpow_mul_lintegral_rpow
0.000018    19506 ennreal.lintegral_rpow_add_le_add_snorm_mul_lintegral_rpow_add
0.000019    19507 _private.1601442165.lintegral_Lp_add_le_aux
0.000015    19508 real.conjugate_exponent
0.000015    19509 real.is_conjugate_exponent_iff
0.000015    19510 real.is_conjugate_exponent_conjugate_exponent
0.000019    19511 nnreal.rpow_lt_rpow
0.000018    19512 ennreal.rpow_lt_rpow
0.000018    19513 ennreal.rpow_ne_top_of_nonneg
0.000016    19514 ennreal.rpow_lt_top_of_nonneg
0.000018    19515 real.rpow_neg
0.000016    19516 nnreal.rpow_neg
0.000017    19517 ennreal.rpow_neg
0.000019    19518 ennreal.rpow_neg_one
0.000017    19519 univ_unique
0.000018    19520 fin.default_eq_zero
0.000018    19521 ennreal.le_of_top_imp_top_of_to_nnreal_le
0.000018    19522 multiset.sum_eq_foldr
0.000018    19523 multiset.sum_induction
0.000018    19524 finset.sum_induction
0.000018    19525 with_top.sum_lt_top
0.000018    19526 finset.sum_apply_dite
0.000018    19527 finset.sum_apply_ite
0.000019    19528 finset.sum_ite
0.000017    19529 finset.sum_piecewise
0.000019    19530 finset.sum_inter_add_sum_diff
0.000017    19531 finset.sum_eq_add_sum_diff_singleton
0.000019    19532 with_top.sum_eq_top_iff
0.000030    19533 ennreal.sum_eq_top_iff
0.000016    19534 ennreal.sum_lt_top
0.000015    19535 ennreal.to_nnreal_sum
0.000017    19536 with_top.sum_lt_top_iff
0.000018    19537 ennreal.sum_lt_top_iff
0.000018    19538 ennreal.one_to_nnreal
0.000018    19539 ennreal.to_nnreal_rpow
0.000018    19540 ennreal.to_nnreal_hom._proof_1
0.000019    19541 ennreal.to_nnreal_mul_top
0.000018    19542 ennreal.to_nnreal_top_mul
0.000018    19543 ennreal.to_nnreal_hom._proof_2
0.000018    19544 ennreal.to_nnreal_hom
0.000018    19545 ennreal.to_nnreal_mul
0.000018    19546 set.ord_connected.convex
0.000018    19547 convex_Ici
0.000018    19548 real.continuous_log'
0.000018    19549 real.continuous_rpow_aux1
0.000018    19550 complex.arg_neg_one
0.000018    19551 complex.of_real_def
0.000018    19552 max_eq_right_iff
0.000018    19553 le_neg_self_iff
0.000018    19554 abs_eq_neg_self
0.000018    19555 complex.arg_eq_pi_iff
0.000018    19556 complex.arg_of_real_of_neg
0.000018    19557 abs_abs
0.000018    19558 real.log_abs
0.000018    19559 real.log_neg_eq_log
0.000018    19560 real.rpow_def_of_neg
0.000018    19561 real.continuous_rpow_aux2
0.000018    19562 real.continuous_at_rpow_of_ne_zero
0.000018    19563 rat.cast_pos
0.000018    19564 exists_pos_rat_lt
0.000019    19565 subtype.dist_eq
0.000017    19566 mul_le_of_le_one_right
0.000018    19567 real.cos_sq_le_one
0.000018    19568 real.abs_cos_le_one
0.000018    19569 real.abs_rpow_le_abs_rpow
0.000018    19570 mul_lt_mul_of_neg_left
0.000018    19571 real.log_lt_log_iff
0.000018    19572 real.log_neg_iff
0.000018    19573 real.log_neg
0.000018    19574 real.rpow_lt_rpow_of_exponent_gt
0.000018    19575 sub_half
0.000018    19576 sub_lt_of_abs_sub_lt_left
0.000018    19577 real.continuous_rpow_aux3
0.000018    19578 real.continuous_at_rpow_of_pos
0.000018    19579 real.continuous_rpow
0.000018    19580 real.continuous_rpow_of_pos
0.000018    19581 has_deriv_at_filter.scomp
0.000018    19582 has_deriv_within_at.scomp
0.000018    19583 has_deriv_within_at.comp
0.000018    19584 has_deriv_at.comp_has_deriv_within_at
0.000018    19585 set.Iic_union_Ici
0.000018    19586 asymptotics.is_O_with.join
0.000018    19587 asymptotics.is_o.join
0.000018    19588 has_deriv_within_at.union
0.000018    19589 filter.eventually_bot
0.000018    19590 has_fderiv_within_at_of_not_mem_closure
0.000018    19591 closure_closure
0.000018    19592 metric.nhds_within_basis_ball
0.000018    19593 metric.tendsto_nhds_within_nhds_within
0.000018    19594 metric.tendsto_nhds_within_nhds
0.000018    19595 metric.mem_nhds_within_iff
0.000018    19596 nhds_within_prod_eq
0.000018    19597 pi.sub_apply
0.000018    19598 tendsto_nhds_within_of_tendsto_nhds
0.000018    19599 convex.norm_image_sub_le_of_norm_fderiv_within_le'
0.000017    19600 differentiable_at.fderiv_within
0.000018    19601 convex.inter
0.000018    19602 has_fderiv_at_boundary_of_tendsto_fderiv
0.000018    19603 set.ord_connected_Iio
0.000016    19604 set.ord_connected_Ioo
0.000018    19605 convex_Ioo
0.000017    19606 deriv_fderiv
0.000019    19607 is_bounded_bilinear_map.continuous
0.000017    19608 is_bounded_bilinear_map.continuous_right
0.000018    19609 set.Ioo_subset_Iio_self
0.000018    19610 no_bot_order
4.692345    19611 no_bot_order.no_bot
0.000076    19612 no_bot
0.000024    19613 mem_nhds_within_Iic_iff_exists_Ioc_subset
0.000016    19614 mem_nhds_within_Iic_iff_exists_Icc_subset
0.000015    19615 exists_zero_lt
0.000015    19616 linear_ordered_add_comm_group.to_no_bot_order
0.000015    19617 order_dual.no_top_order
0.000015    19618 mem_nhds_within_Iio_iff_exists_Ico_subset
0.000014    19619 has_deriv_at_interval_right_endpoint_of_tendsto_deriv
0.000018    19620 differentiable_at.differentiable_within_at
0.000018    19621 mem_nhds_within_Ici_iff_exists_Ico_subset'
0.000016    19622 mem_nhds_within_Ici_iff_exists_Ico_subset
0.000018    19623 mem_nhds_within_Ici_iff_exists_Icc_subset
0.000015    19624 has_deriv_at_interval_left_endpoint_of_tendsto_deriv
0.000019    19625 has_deriv_at_of_has_deriv_at_of_ne
0.000019    19626 filter.eventually_eq.has_deriv_at_filter_iff
0.000018    19627 has_deriv_at_filter.congr_of_eventually_eq
0.000018    19628 has_deriv_at.congr_of_eventually_eq
0.000016    19629 real.exp_sub
0.000018    19630 real.exp_log_of_neg
0.000018    19631 mul_eq_mul_right_iff
0.000016    19632 has_deriv_within_at.mul_const
0.000015    19633 has_deriv_at.mul_const
0.000015    19634 has_deriv_at_filter.comp
0.000017    19635 has_deriv_at.comp
0.000016    19636 continuous_linear_equiv.map_sub
0.000017    19637 continuous_linear_equiv.coe_coe
0.000019    19638 filter.eventually.prod_inl_nhds
0.000018    19639 filter.eventually.prod_inr_nhds
0.000018    19640 filter.eventually.prod_mk_nhds
0.000018    19641 asymptotics.is_o.symm
0.000018    19642 continuous_linear_equiv.is_O_comp
0.000018    19643 continuous_linear_equiv.is_O_comp_rev
0.000018    19644 asymptotics.is_O_with.of_neg_left
0.000019    19645 asymptotics.is_O_with_neg_right
0.000018    19646 asymptotics.is_O_with.neg_right
0.000018    19647 asymptotics.is_O_with.right_le_sub_of_lt_1
0.000018    19648 asymptotics.is_O_with.right_le_add_of_lt_1
0.000018    19649 asymptotics.is_o.right_is_O_add
0.000018    19650 has_strict_fderiv_at.is_O_sub_rev
0.000019    19651 has_strict_fderiv_at.of_local_left_inverse
0.000018    19652 continuous_linear_equiv.equiv_of_inverse._proof_1
0.000018    19653 continuous_linear_equiv.equiv_of_inverse._proof_2
0.000018    19654 continuous_linear_equiv.equiv_of_inverse
0.000018    19655 continuous_linear_equiv.units_equiv_aut._proof_1
0.000018    19656 continuous_linear_equiv.units_equiv_aut._proof_2
0.000018    19657 continuous_linear_equiv.units_equiv_aut._proof_3
0.000018    19658 continuous_linear_equiv.units_equiv_aut._proof_4
0.000019    19659 continuous_linear_equiv.units_equiv_aut._proof_5
0.000018    19660 continuous_linear_equiv.units_equiv_aut._proof_6
0.000018    19661 continuous_linear_equiv.map_smul
0.000018    19662 continuous_linear_equiv.units_equiv_aut._proof_7
0.000018    19663 continuous_linear_equiv.units_equiv_aut._proof_8
0.000018    19664 continuous_linear_equiv.symm_equiv_of_inverse
0.000018    19665 continuous_linear_equiv.equiv_of_inverse_apply
0.000018    19666 units.mk_coe
0.000018    19667 continuous_linear_equiv.units_equiv_aut._proof_9
0.000019    19668 continuous_linear_equiv.cases_on
0.000017    19669 continuous_linear_equiv.to_linear_equiv_injective
0.000019    19670 linear_equiv.cases_on
0.000018    19671 linear_equiv.no_confusion_type
0.000018    19672 linear_equiv.no_confusion
0.000018    19673 linear_equiv.mk.inj
0.000018    19674 linear_equiv.mk.inj_eq
0.000018    19675 linear_equiv.to_equiv_injective
0.000018    19676 linear_equiv.ext
0.000018    19677 continuous_linear_equiv.ext
0.000018    19678 continuous_linear_equiv.ext₁
0.000018    19679 units.inv_mk
0.000019    19680 continuous_linear_equiv.units_equiv_aut._proof_10
0.000018    19681 continuous_linear_equiv.units_equiv_aut
0.000018    19682 has_strict_deriv_at.has_strict_fderiv_at_equiv
0.000016    19683 has_strict_deriv_at.of_local_left_inverse
0.000015    19684 real.continuous_at_log
0.000017    19685 real.has_strict_deriv_at_exp
0.000018    19686 real.has_strict_deriv_at_log_of_pos
0.000018    19687 has_strict_deriv_at_neg
0.000018    19688 real.has_strict_deriv_at_log
0.000018    19689 real.has_deriv_at_log
0.000019    19690 real.has_deriv_at_rpow_of_neg
0.000018    19691 real.has_deriv_at_rpow_of_pos
0.000018    19692 real.has_deriv_at_rpow
0.000018    19693 real.has_deriv_at_rpow_zero_of_one_le
0.000018    19694 real.has_deriv_at_rpow_of_one_le
0.000018    19695 has_deriv_within_at.rpow_of_one_le
0.000018    19696 has_deriv_at.rpow_of_one_le
0.000018    19697 differentiable_at.rpow_of_one_le
0.000018    19698 differentiable.rpow_of_one_le
0.000018    19699 deriv_rpow_of_one_le
0.000018    19700 differentiable_at_id'
0.000018    19701 deriv_id
0.000018    19702 deriv_id''
0.000018    19703 set.compl_Iio
0.000018    19704 interior_compl
0.000018    19705 closure_Iio
0.000019    19706 set.compl_Iic
0.000018    19707 interior_Ici
0.000018    19708 algebra.smul_mul_assoc
0.000018    19709 is_scalar_tower.right
3.082079    19710 has_fderiv_at.prod
0.000076    19711 has_fderiv_at.smul
0.000024    19712 has_fderiv_at.mul
0.000015    19713 differentiable_at.mul
0.000016    19714 has_deriv_within_at.rpow
0.000015    19715 has_deriv_at.rpow
0.000015    19716 differentiable_at.rpow
0.000015    19717 deriv_mul
0.000015    19718 deriv_const
0.000018    19719 deriv_const'
0.000018    19720 deriv_rpow
0.000018    19721 convex_on_rpow
0.000016    19722 real.rpow_arith_mean_le_arith_mean_rpow
0.000018    19723 nnreal.rpow_arith_mean_le_arith_mean_rpow
0.000019    19724 ennreal.one_lt_top
0.000019    19725 ennreal.rpow_arith_mean_le_arith_mean_rpow
0.000018    19726 ennreal.rpow_arith_mean_le_arith_mean2_rpow
0.000018    19727 ennreal.div_add_div_same
0.000016    19728 has_measurable_mul.measurable_const_mul
0.000015    19729 ae_measurable.const_mul
0.000015    19730 ennreal.ne_top_of_mul_ne_top_left
0.000018    19731 ennreal.lt_top_of_mul_lt_top_left
0.000016    19732 ennreal.lt_top_of_mul_lt_top_right
0.000018    19733 ennreal.mul_lt_top_iff
0.000018    19734 ennreal.lintegral_rpow_add_lt_top_of_lintegral_rpow_lt_top
0.000019    19735 ennreal.lintegral_Lp_add_le
0.000018    19736 continuous_nnnorm
0.000018    19737 measurable_nnnorm
0.000018    19738 measurable_ennnorm
0.000019    19739 ae_measurable.ennnorm
0.000018    19740 measure_theory.snorm'_add_le
0.000018    19741 ennreal.one_to_real
0.000018    19742 measure_theory.snorm_add_le
0.000018    19743 measure_theory.snorm_add_lt_top_of_one_le
0.000019    19744 ennreal.rpow_le_rpow_iff
0.000018    19745 ennreal.le_rpow_one_div_iff
0.000018    19746 one_div_one_div
0.000018    19747 ennreal.rpow_eq_top_iff_of_pos
0.000018    19748 ennreal.add_ne_top
0.000018    19749 ennreal.div_one
0.000018    19750 ennreal.div_rpow_of_nonneg
0.000019    19751 linarith.le_of_le_of_eq
0.000018    19752 real.exp_le_exp
0.000018    19753 mul_le_mul_of_nonpos_left
0.000018    19754 real.log_pos_iff
0.000018    19755 real.log_nonpos_iff
0.000018    19756 real.log_nonpos_iff'
0.000018    19757 real.log_nonpos
0.000018    19758 real.rpow_le_rpow_of_exponent_ge
0.000018    19759 nnreal.rpow_le_rpow_of_exponent_ge
0.000018    19760 ennreal.coe_le_one_iff
0.000019    19761 ennreal.rpow_le_rpow_of_exponent_ge
0.000018    19762 ennreal.rpow_le_self_of_le_one
0.000018    19763 _private.3116415879.add_rpow_le_one_of_add_le_one
0.000018    19764 ennreal.add_rpow_le_rpow_add
0.000018    19765 ennreal.rpow_add_rpow_le_add
0.000019    19766 one_le_div
0.000018    19767 ennreal.rpow_add_rpow_le
0.000018    19768 ennreal.rpow_add_le_add_rpow
0.000018    19769 measure_theory.lintegral_rpow_nnnorm_eq_rpow_snorm'
0.000018    19770 measure_theory.lintegral_rpow_nnnorm_lt_top_of_snorm'_lt_top
0.000018    19771 measure_theory.snorm'_add_lt_top_of_le_one
0.000018    19772 measure_theory.mem_ℒp.equations._eqn_1
0.000019    19773 measure_theory.snorm_add_lt_top
0.000018    19774 measure_theory.Lp._proof_4
0.000016    19775 measure_theory.ae_eq_fun.comp_eq_mk
0.000015    19776 measure_theory.ae_eq_fun.coe_fn_comp
0.000018    19777 measure_theory.ae_eq_fun.coe_fn_neg
0.000018    19778 pi.neg_apply
0.000018    19779 nnnorm_neg
0.000019    19780 measure_theory.snorm'_neg
0.000018    19781 measure_theory.snorm_neg
0.000018    19782 measure_theory.Lp._proof_5
0.000018    19783 measure_theory.Lp
0.000018    19784 measure_theory.Lp.mem_Lp_iff_snorm_lt_top
0.000019    19785 measure_theory.Lp.mem_Lp_iff_mem_ℒp
0.000018    19786 nat.smul_one_eq_coe
0.000018    19787 units.is_unit_mul_units
0.000018    19788 opposite
0.000018    19789 opposite.unop
0.000019    19790 category_theory.has_hom.opposite
0.000018    19791 category_theory.large_category
0.000018    19792 category_theory.bundled_hom
0.000018    19793 category_theory.bundled_hom.id
0.000018    19794 category_theory.bundled_hom.comp
0.000019    19795 category_theory.bundled_hom.to_fun
0.000018    19796 category_theory.bundled_hom.hom_ext
0.000018    19797 category_theory.bundled_hom.comp_to_fun
0.000018    19798 category_theory.bundled_hom.id_to_fun
0.000018    19799 function.right_id
0.000018    19800 category_theory.bundled_hom.category._proof_1
0.000019    19801 function.left_id
0.000018    19802 category_theory.bundled_hom.category._proof_2
0.000018    19803 category_theory.bundled_hom.category._proof_3
0.000018    19804 category_theory.bundled_hom.category
0.000019    19805 continuous_map
0.000018    19806 continuous_map.to_fun
0.000018    19807 continuous_map.id
0.000018    19808 continuous_map.has_coe_to_fun
0.000019    19809 continuous_map.continuous_to_fun
0.000017    19810 continuous_map.continuous
0.000019    19811 continuous_map.comp._proof_1
0.000018    19812 continuous_map.comp
0.000018    19813 continuous_map.cases_on
0.000018    19814 continuous_map.coe_inj
0.000018    19815 Top.bundled_hom._proof_1
0.000018    19816 Top.bundled_hom._proof_2
0.000018    19817 Top.bundled_hom
0.000019    19818 Top.large_category
0.000018    19819 TopCommRing
0.000018    19820 CommRing
0.000018    19821 category_theory.bundled.of
0.000018    19822 CommRing.of
0.000018    19823 TopCommRing.α
0.184169    19824 TopCommRing.has_coe_to_sort
0.000079    19825 TopCommRing.is_comm_ring
0.000024    19826 TopCommRing.is_topological_space
0.000016    19827 TopCommRing.category_theory.category._proof_1
0.000061    19828 TopCommRing.category_theory.category._proof_2
0.000018    19829 ring_hom.cases_on
0.000020    19830 ring_hom.coe_inj
0.000018    19831 ring_hom.ext
0.000018    19832 ring_hom.comp_id
0.000016    19833 TopCommRing.category_theory.category._proof_3
0.000019    19834 ring_hom.id_comp
0.000020    19835 TopCommRing.category_theory.category._proof_4
0.000018    19836 TopCommRing.category_theory.category._proof_5
0.000018    19837 TopCommRing.category_theory.category
0.000018    19838 category_theory.types._proof_1
0.000016    19839 category_theory.types._proof_2
0.000018    19840 category_theory.types._proof_3
0.000018    19841 category_theory.types
0.000019    19842 category_theory.faithful
0.000018    19843 category_theory.concrete_category
0.000016    19844 category_theory.functor.comp._proof_1
0.000017    19845 category_theory.functor.map_comp
0.000019    19846 category_theory.functor.comp._proof_2
0.000018    19847 category_theory.functor.comp
0.000018    19848 category_theory.concrete_category.forget
0.000018    19849 category_theory.forget
0.000018    19850 category_theory.has_forget₂
0.000018    19851 category_theory.has_forget₂.forget₂
0.000018    19852 category_theory.forget₂
0.000018    19853 TopCommRing.category_theory.concrete_category._proof_1
0.000018    19854 TopCommRing.category_theory.concrete_category._proof_2
0.000019    19855 TopCommRing.category_theory.concrete_category._proof_3
0.000018    19856 TopCommRing.category_theory.concrete_category
0.000018    19857 category_theory.bundled_hom.category_theory.bundled.category_theory.concrete_category._proof_1
0.000018    19858 category_theory.bundled_hom.category_theory.bundled.category_theory.concrete_category._proof_2
0.000018    19859 category_theory.bundled_hom.category_theory.bundled.category_theory.concrete_category._proof_3
0.000016    19860 category_theory.bundled_hom.category_theory.bundled.category_theory.concrete_category
0.000015    19861 Top.concrete_category
0.000017    19862 category_theory.faithful.map_injective
0.000018    19863 category_theory.functor.map_injective
0.000018    19864 heq.subst
0.000018    19865 heq.trans
0.000019    19866 category_theory.faithful.div._proof_1
0.000017    19867 heq.symm
0.000019    19868 category_theory.faithful.div._proof_2
0.000017    19869 category_theory.faithful.div
0.000019    19870 category_theory.concrete_category.forget_faithful
0.000017    19871 category_theory.functor.cases_on
0.000019    19872 category_theory.faithful.div.equations._eqn_1
0.000017    19873 category_theory.functor.comp.equations._eqn_1
0.000019    19874 category_theory.faithful.div_comp
0.000017    19875 category_theory.has_forget₂.mk'._proof_1
0.000019    19876 category_theory.has_forget₂.mk'
0.000018    19877 Top.of
0.000018    19878 TopCommRing.forget_topological_space
0.000018    19879 TopCommRing.has_forget_to_Top._proof_1
0.000019    19880 TopCommRing.has_forget_to_Top._proof_2
0.000018    19881 heq.rfl
0.000018    19882 TopCommRing.has_forget_to_Top._proof_3
0.000018    19883 TopCommRing.has_forget_to_Top
0.000018    19884 continuous_map.has_add._proof_1
0.000018    19885 continuous_map.has_add
0.000018    19886 continuous_map.ext
0.000018    19887 continuous_map_add_semigroup._proof_1
0.000018    19888 continuous_map_add_semigroup
0.000018    19889 continuous_map_add_comm_monoid._proof_1
0.000018    19890 continuous_map.const
0.000018    19891 continuous_map.has_zero
0.000018    19892 continuous_map_add_comm_monoid._proof_2
0.000018    19893 continuous_map_add_comm_monoid._proof_3
0.000018    19894 continuous_map_add_comm_monoid._proof_4
0.000018    19895 continuous_map_add_comm_monoid._proof_5
0.000018    19896 continuous_map_add_comm_monoid._proof_6
0.000018    19897 continuous_map_add_comm_monoid._proof_7
0.000018    19898 continuous_map_add_comm_monoid._proof_8
0.000018    19899 continuous_map_add_comm_monoid
0.000018    19900 continuous_map_semiring._proof_1
0.000019    19901 continuous_map_semiring._proof_2
0.000018    19902 continuous_map_semiring._proof_3
0.000018    19903 continuous_map_semiring._proof_4
0.000018    19904 continuous_map_semiring._proof_5
0.000018    19905 continuous_map_semiring._proof_6
0.000018    19906 continuous_map.has_mul._proof_1
0.000018    19907 continuous_map.has_mul
0.000018    19908 continuous_map_semigroup._proof_1
0.000018    19909 continuous_map_semigroup
0.000018    19910 continuous_map_monoid._proof_1
0.000018    19911 continuous_map.has_one
0.000018    19912 continuous_map_monoid._proof_2
0.000018    19913 continuous_map_monoid._proof_3
0.000018    19914 continuous_map_monoid._proof_4
0.000018    19915 continuous_map_monoid._proof_5
0.000018    19916 continuous_map_monoid._proof_6
0.163377    19917 continuous_map_monoid._proof_7
0.000075    19918 continuous_map_monoid
0.000024    19919 continuous_map_semiring._proof_7
0.000016    19920 continuous_map_semiring._proof_8
0.000015    19921 continuous_map_semiring._proof_9
0.000015    19922 continuous_map_semiring._proof_10
0.000015    19923 continuous_map_semiring._proof_11
0.000015    19924 continuous_map_semiring._proof_12
0.000015    19925 continuous_map_semiring._proof_13
0.000018    19926 continuous_map_semiring._proof_14
0.000018    19927 continuous_map_semiring._proof_15
0.000016    19928 continuous_map_semiring
0.000018    19929 continuous_map_comm_ring._proof_1
0.000020    19930 continuous_map_comm_ring._proof_2
0.000019    19931 continuous_map_comm_ring._proof_3
0.000020    19932 continuous_map_comm_ring._proof_4
0.000017    19933 continuous_map_comm_ring._proof_5
0.000019    19934 continuous_map_comm_ring._proof_6
0.000015    19935 continuous_map_add_monoid._proof_1
0.000015    19936 continuous_map_add_monoid._proof_2
0.000017    19937 continuous_map_add_monoid._proof_3
0.000016    19938 continuous_map_add_monoid._proof_4
0.000015    19939 continuous_map_add_monoid._proof_5
0.000015    19940 continuous_map_add_monoid._proof_6
0.000018    19941 continuous_map_add_monoid._proof_7
0.000018    19942 continuous_map_add_monoid
0.000016    19943 continuous_map_add_group._proof_1
0.000015    19944 continuous_map_add_group._proof_2
0.000017    19945 continuous_map_add_group._proof_3
0.000018    19946 continuous_map_add_group._proof_4
0.000019    19947 continuous_map_add_group._proof_5
0.000017    19948 continuous_map_add_group._proof_6
0.000016    19949 continuous_map_add_group._proof_7
0.000015    19950 continuous_map_add_group._proof_8
0.000015    19951 continuous_map_add_group._proof_9
0.000018    19952 continuous_map_add_group._proof_10
0.000016    19953 continuous_map_add_group._proof_11
0.000017    19954 continuous_map_add_group._proof_12
0.000018    19955 continuous_map_add_group._proof_13
0.000019    19956 continuous_map_add_group
0.000018    19957 continuous_map_add_comm_group._proof_1
0.000018    19958 continuous_map_add_comm_group._proof_2
0.000018    19959 continuous_map_add_comm_group._proof_3
0.000018    19960 continuous_map_add_comm_group._proof_4
0.000018    19961 continuous_map_add_comm_group._proof_5
0.000018    19962 continuous_map_add_comm_group._proof_6
0.000018    19963 continuous_map_add_comm_group._proof_7
0.000018    19964 continuous_map_add_comm_group._proof_8
0.000018    19965 continuous_map_add_comm_group
0.000018    19966 topological_ring.continuous_neg
0.000018    19967 topological_ring.to_topological_add_group
0.000018    19968 continuous_map_comm_ring._proof_7
0.000018    19969 continuous_map_comm_ring._proof_8
0.000018    19970 continuous_map_comm_ring._proof_9
0.000017    19971 continuous_map_comm_ring._proof_10
0.000018    19972 continuous_map_comm_ring._proof_11
0.000018    19973 continuous_map_comm_ring._proof_12
0.000018    19974 continuous_map_comm_ring._proof_13
0.000018    19975 continuous_map_comm_ring._proof_14
0.000018    19976 continuous_map_comm_ring._proof_15
0.000018    19977 continuous_map_comm_ring._proof_16
0.000018    19978 continuous_map_comm_ring._proof_17
0.000018    19979 continuous_map_comm_monoid._proof_1
0.000018    19980 continuous_map_comm_monoid._proof_2
0.000017    19981 continuous_map_comm_monoid._proof_3
0.000019    19982 continuous_map_comm_monoid._proof_4
0.000017    19983 continuous_map_comm_monoid._proof_5
0.000019    19984 continuous_map_comm_monoid._proof_6
0.000018    19985 continuous_map_comm_monoid._proof_7
0.000018    19986 continuous_map_comm_monoid._proof_8
0.000018    19987 continuous_map_comm_monoid
0.000018    19988 continuous_map_comm_ring._proof_18
0.000018    19989 continuous_map_comm_ring
0.000018    19990 TopCommRing.forget_to_Top_comm_ring
0.000017    19991 TopCommRing.is_topological_ring
0.000018    19992 TopCommRing.forget_to_Top_topological_ring
0.000018    19993 Top.continuous_functions
0.000018    19994 category_theory.has_hom.hom.unop
0.000018    19995 Top.continuous_functions.pullback._proof_4
0.000018    19996 complete_lattice_of_complete_semilattice_Inf._proof_1
0.000018    19997 complete_lattice_of_complete_semilattice_Inf
0.000018    19998 measure_theory.measure.complete_semilattice_Inf._proof_1
0.000018    19999 measure_theory.measure.complete_semilattice_Inf._proof_2
0.000018    20000 measure_theory.measure.complete_semilattice_Inf._proof_3
0.000018    20001 measure_theory.measure.complete_semilattice_Inf._proof_4
0.000018    20002 complete_lattice_of_Sup._proof_1
0.000018    20003 complete_lattice_of_Sup._proof_2
0.000016    20004 upper_bounds_singleton
0.000017    20005 upper_bounds_insert
0.000018    20006 complete_lattice_of_Sup._proof_3
0.000018    20007 complete_lattice_of_Sup._proof_4
0.000018    20008 complete_lattice_of_Sup._proof_5
0.556534    20009 complete_lattice_of_Sup._proof_6
0.000075    20010 complete_lattice_of_Sup._proof_7
0.000024    20011 complete_lattice_of_Sup._proof_8
0.000016    20012 complete_lattice_of_Sup._proof_9
0.000015    20013 complete_lattice_of_Sup._proof_10
0.000015    20014 complete_lattice_of_Sup._proof_11
0.000015    20015 complete_lattice_of_Sup._proof_12
0.000015    20016 complete_lattice_of_Sup
0.000015    20017 measure_theory.outer_measure.outer_measure.order_bot._proof_1
0.000015    20018 measure_theory.outer_measure.outer_measure.order_bot._proof_2
0.000019    20019 measure_theory.outer_measure.outer_measure.order_bot._proof_3
0.000018    20020 measure_theory.outer_measure.outer_measure.order_bot._proof_4
0.000018    20021 measure_theory.outer_measure.outer_measure.order_bot._proof_5
0.000016    20022 measure_theory.outer_measure.outer_measure.order_bot
0.000018    20023 measure_theory.outer_measure.has_Sup._proof_1
0.000020    20024 le_bsupr
0.000018    20025 bsupr_le_bsupr
0.000018    20026 measure_theory.outer_measure.has_Sup._proof_2
0.000018    20027 measure_theory.outer_measure.has_Sup._proof_3
0.000016    20028 measure_theory.outer_measure.has_Sup
0.000015    20029 measure_theory.outer_measure.complete_lattice._proof_1
0.000018    20030 measure_theory.outer_measure.complete_lattice._proof_2
0.000018    20031 measure_theory.outer_measure.complete_lattice._proof_3
0.000018    20032 measure_theory.outer_measure.complete_lattice._proof_4
0.000016    20033 measure_theory.outer_measure.complete_lattice._proof_5
0.000015    20034 measure_theory.outer_measure.complete_lattice._proof_6
0.000015    20035 measure_theory.outer_measure.complete_lattice._proof_7
0.000017    20036 measure_theory.outer_measure.complete_lattice._proof_8
0.000016    20037 measure_theory.outer_measure.complete_lattice._proof_9
0.000017    20038 measure_theory.outer_measure.complete_lattice._proof_10
0.000019    20039 measure_theory.outer_measure.complete_lattice._proof_11
0.000018    20040 measure_theory.outer_measure.complete_lattice._proof_12
0.000018    20041 measure_theory.outer_measure.complete_lattice._proof_13
0.000018    20042 measure_theory.outer_measure.complete_lattice._proof_14
0.000017    20043 measure_theory.outer_measure.complete_lattice._proof_15
0.000018    20044 measure_theory.outer_measure.complete_lattice._proof_16
0.000018    20045 measure_theory.outer_measure.complete_lattice._proof_17
0.000018    20046 measure_theory.outer_measure.complete_lattice
0.000018    20047 measure_theory.outer_measure.bounded_by._proof_1
0.000018    20048 measure_theory.outer_measure.bounded_by
0.000018    20049 measure_theory.outer_measure.Inf_gen
0.000018    20050 measure_theory.outer_measure.bounded_by.equations._eqn_1
0.000018    20051 measure_theory.outer_measure.le_of_function
0.000018    20052 is_lub.cSup_eq
0.000057    20053 is_greatest.nonempty
0.000019    20054 is_greatest.cSup_eq
0.000019    20055 cSup_singleton
0.000017    20056 csupr_const
0.000019    20057 measure_theory.outer_measure.le_bounded_by
0.000018    20058 supr_const_le
0.000018    20059 measure_theory.outer_measure.bounded_by_le
0.000018    20060 measure_theory.outer_measure.Inf_eq_bounded_by_Inf_gen
0.000018    20061 set.empty_inter
0.000018    20062 measure_theory.outer_measure.bounded_by_caratheodory
0.000019    20063 measure_theory.outer_measure.Inf_gen.equations._eqn_1
0.000018    20064 measure_theory.measure_eq_infi
0.000018    20065 measure_theory.measure_eq_inter_diff
0.000018    20066 measure_theory.outer_measure.Inf_gen_def
0.000018    20067 measure_theory.to_outer_measure_apply
0.000018    20068 measure_theory.measure.Inf_caratheodory
0.000018    20069 measure_theory.measure.has_Inf
0.000019    20070 measure_theory.measure.Inf_apply
0.000018    20071 _private.3559450893.measure_Inf_le
0.000018    20072 measure_theory.measure.complete_semilattice_Inf._proof_5
0.000018    20073 measure_theory.outer_measure.le_trim_iff
0.000018    20074 measure_theory.measure.to_outer_measure_le
0.000018    20075 _private.3291363873.measure_le_Inf
0.000018    20076 measure_theory.measure.complete_semilattice_Inf._proof_6
0.000018    20077 measure_theory.measure.complete_semilattice_Inf
0.000018    20078 measure_theory.measure.complete_lattice._proof_1
0.000018    20079 measure_theory.measure.complete_lattice._proof_2
0.000018    20080 measure_theory.measure.complete_lattice._proof_3
0.000016    20081 measure_theory.measure.complete_lattice._proof_4
0.000017    20082 measure_theory.measure.complete_lattice._proof_5
0.000018    20083 measure_theory.measure.complete_lattice._proof_6
0.000018    20084 measure_theory.measure.complete_lattice._proof_7
0.000018    20085 measure_theory.measure.complete_lattice._proof_8
0.000018    20086 measure_theory.measure.complete_lattice._proof_9
0.173799    20087 measure_theory.measure.complete_lattice._proof_10
0.000074    20088 measure_theory.measure.complete_lattice._proof_11
0.000024    20089 measure_theory.measure.complete_lattice._proof_12
0.000016    20090 measure_theory.measure.complete_lattice._proof_13
0.000015    20091 measure_theory.measure.complete_lattice._proof_14
0.000015    20092 measure_theory.measure.complete_lattice._proof_15
0.000015    20093 measure_theory.measure.complete_lattice._proof_16
0.000014    20094 measure_theory.measure.complete_lattice
0.000015    20095 onote
0.000018    20096 onote.sizeof
0.000017    20097 onote.zero.sizeof_spec
0.000018    20098 linear_ordered_add_comm_monoid.add
0.000016    20099 linear_ordered_add_comm_monoid.add_assoc
0.000015    20100 linear_ordered_add_comm_monoid.zero
0.000015    20101 linear_ordered_add_comm_monoid.zero_add
0.000017    20102 linear_ordered_add_comm_monoid.add_zero
0.000019    20103 linear_ordered_add_comm_monoid.nsmul
0.000018    20104 linear_ordered_add_comm_monoid.nsmul_zero'
0.000016    20105 linear_ordered_add_comm_monoid.nsmul_succ'
0.000019    20106 linear_ordered_add_comm_monoid.add_comm
0.000018    20107 linear_ordered_add_comm_monoid.add_le_add_left
0.000018    20108 linear_ordered_add_comm_monoid.lt_of_add_lt_add_left
0.000018    20109 linear_ordered_add_comm_monoid.to_ordered_add_comm_monoid
0.000018    20110 linear_ordered_add_comm_monoid_with_top
0.000016    20111 valuation
0.000015    20112 multiplicative.ordered_comm_monoid._proof_1
0.000017    20113 multiplicative.ordered_comm_monoid._proof_2
0.000016    20114 multiplicative.ordered_comm_monoid._proof_3
0.000017    20115 multiplicative.ordered_comm_monoid._proof_4
0.000018    20116 multiplicative.ordered_comm_monoid._proof_5
0.000018    20117 multiplicative.ordered_comm_monoid._proof_6
0.000018    20118 multiplicative.partial_order
0.000018    20119 multiplicative.ordered_comm_monoid._proof_7
0.000018    20120 multiplicative.ordered_comm_monoid._proof_8
0.000018    20121 multiplicative.ordered_comm_monoid._proof_9
0.000018    20122 multiplicative.ordered_comm_monoid._proof_10
0.000018    20123 multiplicative.ordered_comm_monoid
0.000018    20124 linear_ordered_add_comm_monoid_with_top.le
0.000018    20125 linear_ordered_add_comm_monoid_with_top.lt
0.000017    20126 linear_ordered_add_comm_monoid_with_top.le_refl
0.000018    20127 linear_ordered_add_comm_monoid_with_top.le_trans
0.000018    20128 linear_ordered_add_comm_monoid_with_top.lt_iff_le_not_le
0.000018    20129 linear_ordered_add_comm_monoid_with_top.le_antisymm
0.000018    20130 linear_ordered_add_comm_monoid_with_top.le_total
0.000018    20131 linear_ordered_add_comm_monoid_with_top.decidable_le
0.000019    20132 linear_ordered_add_comm_monoid_with_top.decidable_eq
0.000018    20133 linear_ordered_add_comm_monoid_with_top.decidable_lt
0.000018    20134 linear_ordered_add_comm_monoid_with_top.add
0.000018    20135 linear_ordered_add_comm_monoid_with_top.add_assoc
0.000018    20136 linear_ordered_add_comm_monoid_with_top.zero
0.000018    20137 linear_ordered_add_comm_monoid_with_top.zero_add
0.000018    20138 linear_ordered_add_comm_monoid_with_top.add_zero
0.000017    20139 linear_ordered_add_comm_monoid_with_top.nsmul
0.000018    20140 linear_ordered_add_comm_monoid_with_top.nsmul_zero'
0.000018    20141 linear_ordered_add_comm_monoid_with_top.nsmul_succ'
0.000018    20142 linear_ordered_add_comm_monoid_with_top.add_comm
0.000018    20143 linear_ordered_add_comm_monoid_with_top.add_le_add_left
0.000018    20144 linear_ordered_add_comm_monoid_with_top.lt_of_add_lt_add_left
0.000018    20145 linear_ordered_add_comm_monoid_with_top.to_linear_ordered_add_comm_monoid
0.000016    20146 multiplicative.linear_ordered_comm_monoid_with_zero._proof_1
0.000015    20147 multiplicative.linear_ordered_comm_monoid_with_zero._proof_2
0.000018    20148 multiplicative.linear_ordered_comm_monoid_with_zero._proof_3
0.000017    20149 multiplicative.linear_ordered_comm_monoid_with_zero._proof_4
0.000019    20150 multiplicative.linear_order
0.000015    20151 multiplicative.linear_ordered_comm_monoid_with_zero._proof_5
0.000018    20152 multiplicative.linear_ordered_comm_monoid_with_zero._proof_6
0.000018    20153 multiplicative.linear_ordered_comm_monoid_with_zero._proof_7
0.000018    20154 multiplicative.linear_ordered_comm_monoid_with_zero._proof_8
0.000018    20155 multiplicative.linear_ordered_comm_monoid_with_zero._proof_9
0.000017    20156 multiplicative.linear_ordered_comm_monoid_with_zero._proof_10
0.000018    20157 multiplicative.linear_ordered_comm_monoid_with_zero._proof_11
0.000018    20158 multiplicative.linear_ordered_comm_monoid_with_zero._proof_12
0.000018    20159 multiplicative.linear_ordered_comm_monoid_with_zero._proof_13
0.436689    20160 linear_ordered_add_comm_monoid_with_top.top
0.000076    20161 linear_ordered_add_comm_monoid_with_top.le_top
0.000024    20162 linear_ordered_add_comm_monoid_with_top.to_order_top
0.000016    20163 linear_ordered_add_comm_monoid_with_top.top_add'
0.000015    20164 top_add
0.000015    20165 multiplicative.linear_ordered_comm_monoid_with_zero._proof_14
0.000015    20166 add_top
0.000015    20167 multiplicative.linear_ordered_comm_monoid_with_zero._proof_15
0.000015    20168 multiplicative.linear_ordered_comm_monoid_with_zero._proof_16
0.000018    20169 multiplicative.linear_ordered_comm_monoid_with_zero
0.000018    20170 add_valuation
0.000018    20171 valuation.to_fun
0.000016    20172 add_valuation.has_coe_to_fun
0.000015    20173 valuation.has_coe_to_fun
0.000017    20174 valuation.map_add'
0.000019    20175 valuation.map_add
0.000018    20176 valuation.map_add_le
0.000016    20177 add_valuation.map_le_add
0.000015    20178 rbnode
0.000017    20179 rbnode.color
0.000018    20180 rbnode.color.cases_on
0.000018    20181 rbnode.cases_on
0.000016    20182 rbnode.mk_insert_result._main
0.000015    20183 rbnode.mk_insert_result
0.000015    20184 rbnode.get_color._main
0.000018    20185 rbnode.get_color
0.000018    20186 rbnode.below
0.000018    20187 rbnode.brec_on
0.000018    20188 rbnode.ins._match_1
0.000018    20189 cmp_using
0.000018    20190 rbnode.color.no_confusion_type
0.000018    20191 rbnode.color.no_confusion
0.000018    20192 rbnode.color.decidable_eq._proof_1
0.000018    20193 rbnode.color.decidable_eq._proof_2
0.000018    20194 rbnode.color.decidable_eq
0.000018    20195 rbnode.balance1._main
0.000018    20196 rbnode.balance1
0.000018    20197 rbnode.balance1_node._main
0.000018    20198 rbnode.balance1_node
0.000018    20199 rbnode.balance2._main
0.000017    20200 rbnode.balance2
0.000018    20201 rbnode.balance2_node._main
0.000018    20202 rbnode.balance2_node
0.000018    20203 rbnode.ins._match_2
0.000018    20204 rbnode.ins._main
0.000018    20205 rbnode.ins
0.000018    20206 rbnode.insert
0.000018    20207 rbnode.well_formed
0.000018    20208 rbtree
0.000018    20209 rbmap_lt
0.000018    20210 rbmap
0.000018    20211 rbnode.find._match_1
0.000018    20212 rbnode.find._match_2
0.000018    20213 rbnode.find._main
0.000018    20214 rbnode.find
0.000018    20215 rbtree.find._main
0.000017    20216 rbtree.find
0.000018    20217 rbmap.rbmap_lt_dec
0.000018    20218 rbmap.find_entry._match_1
0.000018    20219 rbmap.find_entry
0.000018    20220 rbmap.contains
0.000018    20221 rbmap.contains.equations._eqn_1
0.000018    20222 nat.prime
0.000018    20223 int.decidable_dvd._proof_1
0.000018    20224 int.decidable_dvd
0.000018    20225 multiplicity.finite_def
0.000018    20226 neg_dvd_of_dvd
0.000018    20227 dvd_of_neg_dvd
0.000018    20228 neg_dvd_iff_dvd
0.000018    20229 int.nat_abs_dvd
0.000018    20230 int.nat_abs_dvd_abs_iff
0.000017    20231 int.nat_abs_pow
0.000016    20232 multiplicity.finite_int_iff_nat_abs_finite
0.000015    20233 multiplicity.finite.equations._eqn_1
0.000018    20234 decidable.not_exists_not
0.000017    20235 not_exists_not
0.000018    20236 multiplicity.not_finite_iff_forall
0.000018    20237 nat.le_zero_iff
0.000018    20238 nat.decidable_ball_le._proof_1
0.000018    20239 forall_prop_decidable._proof_1
0.000018    20240 forall_prop_decidable._proof_2
0.000018    20241 forall_prop_decidable
0.000018    20242 nat.decidable_ball_lt._proof_1
0.000018    20243 nat.lt_succ_of_lt
0.000018    20244 nat.decidable_ball_lt._proof_2
0.000018    20245 nat.decidable_ball_lt._match_1
0.000018    20246 nat.decidable_ball_lt._proof_3
0.000018    20247 nat.decidable_ball_lt._proof_4
0.000018    20248 nat.decidable_ball_lt
0.000018    20249 nat.decidable_ball_le
0.000018    20250 nat.eq_one_of_dvd_one
0.000018    20251 nat.units_eq_one
0.000018    20252 nat.is_unit_iff
0.000018    20253 multiplicity.finite_nat_iff
0.000018    20254 int.nat_abs_eq_zero
0.000018    20255 multiplicity.finite_int_iff
0.000018    20256 rat.zero_of_num_zero
0.000018    20257 rat.num_ne_zero_of_ne_zero
0.000018    20258 padic_val_rat._proof_1
0.000018    20259 rat.denom_ne_zero
0.000018    20260 padic_val_rat._proof_2
0.000018    20261 padic_val_rat
0.000018    20262 padic_norm
0.000018    20263 padic_norm.equations._eqn_1
0.000017    20264 fpow_nonneg
0.000019    20265 padic_norm.nonneg
0.000017    20266 fpow_ne_zero_of_ne_zero
0.000018    20267 rat.add_monoid
0.000018    20268 rat.linear_ordered_semiring
0.000018    20269 nat.prime_def_lt
0.000018    20270 nat.prime_def_lt'
0.000018    20271 nat.decidable_lo_hi._proof_1
0.000018    20272 nat.decidable_lo_hi
0.000018    20273 nat.decidable_dvd._proof_1
0.000018    20274 nat.decidable_dvd
0.000018    20275 nat.decidable_prime_1
0.000018    20276 nat.prime.ne_zero
0.000018    20277 padic_norm.zero_of_padic_norm_eq_zero
0.000018    20278 padic_norm.zero
0.000018    20279 nat.prime.two_le
0.000017    20280 nat.prime.one_lt
0.000018    20281 rat.mk_ne_zero_of_ne_zero
0.000018    20282 padic_val_rat.equations._eqn_1
0.000018    20283 nat.prime.pos
0.000018    20284 units.has_neg._proof_1
0.000018    20285 units.has_neg._proof_2
0.000018    20286 units.has_neg
0.000019    20287 int.units_nat_abs
3.728986    20288 int.units_eq_one_or
0.000083    20289 int.is_unit_eq_one_or
0.000023    20290 is_unit.neg
0.000016    20291 int.is_unit_iff
0.000015    20292 int.nat_abs_eq_nat_abs_iff
0.000015    20293 int.nat_abs_eq_iff
0.000015    20294 int.is_unit_iff_nat_abs_eq
0.000015    20295 nat.prime.ne_one
0.000015    20296 nat.prime.not_dvd_one
0.000018    20297 nat.gcd_pos_of_pos_left
0.000018    20298 nat.eq_zero_of_gcd_eq_zero_left
0.000016    20299 nat.eq_zero_of_gcd_eq_zero_right
0.000027    20300 nat.prime_two
0.000030    20301 min_fac_aux._main._pack._wf_rec_mk_dec_tactic._aux_1
0.000026    20302 _private.1493573281.min_fac_lemma
0.000016    20303 nat.min_fac_aux._main._pack
0.000019    20304 nat.min_fac_aux._main
0.000018    20305 nat.min_fac_aux
0.000019    20306 nat.min_fac._main
0.000020    20307 nat.min_fac
0.000018    20308 _private.3044241109.min_fac_prop
0.000018    20309 nat.min_fac_zero
0.000018    20310 _private.3044241109.min_fac_prop.equations._eqn_1
0.000018    20311 nat.min_fac_one
0.000018    20312 nat.dvd_one
0.000018    20313 nat.min_fac_aux._main._pack.equations._eqn_1
0.000018    20314 nat.min_fac_aux._main.equations._eqn_1
0.000018    20315 nat.min_fac_aux.equations._eqn_1
0.000018    20316 nat.min_fac._main.equations._eqn_3
0.000018    20317 nat.min_fac.equations._eqn_3
0.000018    20318 nat.min_fac_eq
0.000018    20319 nat.dvd_prime
0.000018    20320 nat.dvd_prime_two_le
0.000018    20321 nat.sqrt_lt_self
0.000018    20322 nat.prime_def_le_sqrt
0.000018    20323 dvd_of_mul_right_dvd
0.000018    20324 nat.min_fac_aux_has_prop
0.000018    20325 nat.min_fac_has_prop
0.000017    20326 nat.min_fac_prime
0.000018    20327 nat.min_fac_dvd
0.000018    20328 nat.exists_prime_and_dvd
0.000018    20329 nat.coprime_of_dvd
0.000018    20330 nat.prime_dvd_prime_iff_eq
0.000016    20331 nat.prime.coprime_iff_not_dvd
0.000015    20332 nat.prime.dvd_mul
0.000017    20333 nat.one_lt_iff_ne_zero_and_ne_one
0.000018    20334 nat.prime_iff_prime
0.000018    20335 prime.not_unit
0.000018    20336 not_prime_one
0.000018    20337 nat.prime_iff_prime_int
0.000018    20338 rat.num_dvd
0.000018    20339 int.eq_mul_div_of_mul_eq_mul_of_dvd_left
0.000018    20340 rat.num_denom_mk
0.000017    20341 rat.mk_denom_ne_zero_of_ne_zero
0.000018    20342 rat.mk_num_ne_zero_of_ne_zero
0.000018    20343 padic_val_rat.defn
0.000018    20344 enat.get_le_get
0.000018    20345 multiplicity.le_multiplicity_of_pow_dvd
0.000018    20346 multiplicity.finite_iff_dom
0.000018    20347 multiplicity.eq_top_iff_not_finite
0.000018    20348 multiplicity.multiplicity_le_multiplicity_iff
0.000018    20349 padic_val_rat.finite_int_prime_iff
0.000018    20350 padic_val_rat.padic_val_rat_le_padic_val_rat_iff
0.000018    20351 multiplicity.mul
0.000018    20352 multiplicity.min_le_multiplicity_add
0.000018    20353 rat.add_num_denom
0.000018    20354 padic_val_rat.le_padic_val_rat_add_of_le
0.000018    20355 padic_val_rat.min_le_padic_val_rat_add
0.000018    20356 _private.3619901659.nonarchimedean_aux
0.000018    20357 rat.semilattice_sup
0.000018    20358 padic_norm.nonarchimedean
0.000018    20359 max_le_add_of_nonneg
0.000018    20360 padic_norm.triangle_ineq
0.000018    20361 rat.comm_monoid
0.000018    20362 rat.comm_semigroup
0.000018    20363 rat.mul_num_denom
0.000018    20364 padic_val_rat.mul
0.000018    20365 padic_norm.mul
0.000017    20366 padic_norm.is_absolute_value
0.000018    20367 padic
0.000018    20368 semiconj_by.units_inv_symm_left
0.000018    20369 semiconj_by.units_inv_symm_left_iff
0.000019    20370 semiconj_by.inv_symm_left_iff'
0.000017    20371 commute.inv_left_iff'
0.000018    20372 commute.inv_left'
0.000018    20373 rat.cast_inj
0.000018    20374 rat.cast_injective
0.000018    20375 rat.metric_space._proof_1
0.000018    20376 rat.metric_space
0.000018    20377 rat.dist_eq
0.000018    20378 rat.normed_field._proof_1
0.000018    20379 rat.normed_field._proof_2
0.000018    20380 rat.normed_field
0.000018    20381 padic_seq
0.000018    20382 rat.num_neg_eq_neg_num
0.000018    20383 enat.find.equations._eqn_1
0.000018    20384 multiplicity.neg
0.000018    20385 rat.denom_neg_eq_denom
0.000018    20386 padic_val_rat.neg
0.000018    20387 padic_norm.neg
0.000018    20388 max_eq_right_of_lt
0.000018    20389 rat.comm_semiring
0.000018    20390 padic_norm.add_eq_max_of_ne
0.000018    20391 cau_seq.not_lim_zero_of_not_congr_zero
0.000018    20392 padic_seq.stationary
0.000019    20393 padic_seq.stationary_point
0.000018    20394 padic_seq.norm
0.000018    20395 padic_seq.norm.equations._eqn_1
0.000018    20396 padic_seq.stationary_point_spec
0.000018    20397 padic_seq.lift_index_left
0.000018    20398 padic_seq.lift_index_right
0.000018    20399 _private.78461815.norm_eq_of_equiv_aux
0.000019    20400 _private.973558253.norm_eq_of_equiv
0.000018    20401 padic_seq.norm_equiv
0.000018    20402 padic_norm_e
0.000018    20403 padic.has_norm
0.000018    20404 padic_int
0.000018    20405 cau_seq.completion.field._proof_1
0.000019    20406 cau_seq.completion.field._proof_2
0.000018    20407 cau_seq.completion.field._proof_3
0.000018    20408 cau_seq.completion.field._proof_4
8.128427    20409 cau_seq.completion.field._proof_5
0.000077    20410 cau_seq.completion.field._proof_6
0.000024    20411 cau_seq.completion.field._proof_7
0.000015    20412 cau_seq.completion.field._proof_8
0.000016    20413 cau_seq.completion.field._proof_9
0.000015    20414 cau_seq.completion.field._proof_10
0.000016    20415 cau_seq.completion.field._proof_11
0.000015    20416 cau_seq.completion.field._proof_12
0.000015    20417 cau_seq.completion.field._proof_13
0.000014    20418 cau_seq.completion.field._proof_14
0.000019    20419 cau_seq.completion.field._proof_15
0.000018    20420 cau_seq.completion.field._proof_16
0.000018    20421 cau_seq.completion.field._proof_17
0.000016    20422 cau_seq.completion.field._proof_18
0.000015    20423 cau_seq.completion.field._proof_19
0.000015    20424 cau_seq.completion.field._proof_20
0.000020    20425 cau_seq.completion.field._proof_21
0.000018    20426 cau_seq.completion.field._proof_22
0.000019    20427 cau_seq.completion.cau_seq_zero_ne_one
0.000017    20428 cau_seq.completion.zero_ne_one
0.000016    20429 cau_seq.completion.field._proof_23
0.000018    20430 cau_seq.completion.field._proof_24
0.000019    20431 cau_seq.completion.field
0.000018    20432 padic.field
0.000018    20433 padic.has_add
0.000018    20434 rat.cast_max
0.000018    20435 padic_seq.norm_nonneg
0.000018    20436 padic_seq.norm_zero_iff
0.000018    20437 padic_seq.lift_index_left_left
0.000018    20438 _private.3589582725.norm_nonarchimedean_aux
0.000018    20439 padic_seq.norm_nonarchimedean
0.000018    20440 padic_norm_e.nonarchimedean'
0.000017    20441 padic_norm_e.nonarchimedean
0.000018    20442 padic_int.has_add._match_1
0.000018    20443 padic_int.has_add._match_2
0.000018    20444 padic_int.has_add
0.000018    20445 padic_int.padic.has_coe
0.000018    20446 padic_int.coe_add
0.000017    20447 padic.comm_ring
0.000018    20448 padic.has_one
0.000018    20449 padic.has_zero
0.000018    20450 padic.add_comm_group
0.000018    20451 padic_int.ring._proof_1
0.000017    20452 padic.has_sub
0.000018    20453 padic.has_dist
0.000018    20454 padic_norm_e.zero_def
0.000018    20455 padic_norm_e.zero_iff
0.000017    20456 padic_norm_e.zero
0.000018    20457 padic.metric_space._proof_1
0.000018    20458 padic.has_neg
0.000018    20459 padic_seq.equiv_zero_of_val_eq_of_equiv_zero
0.000018    20460 padic_seq.norm_eq
0.000018    20461 padic_seq.norm_neg
0.000018    20462 padic_norm_e.neg
0.000017    20463 padic.metric_space._proof_2
0.000018    20464 padic_norm_e.nonneg
0.000018    20465 padic_norm_e.triangle_ineq
0.000018    20466 padic.metric_space._proof_3
0.000018    20467 padic.metric_space._proof_4
0.000018    20468 padic.metric_space._proof_5
0.000018    20469 padic.metric_space._proof_6
0.000018    20470 padic.metric_space._proof_7
0.000017    20471 padic.metric_space._proof_8
0.000018    20472 padic.metric_space._proof_9
0.000018    20473 padic.metric_space
0.000018    20474 padic.normed_field._proof_1
0.000018    20475 padic.has_mul
0.000018    20476 cau_seq.mul_equiv_zero
0.000018    20477 cau_seq.mul_equiv_zero'
0.000018    20478 cau_seq.mul_not_equiv_zero
0.000017    20479 padic_seq.norm_mul
0.000018    20480 padic_norm_e.mul'
0.000018    20481 rat.cast_eq_zero
0.000018    20482 padic.normed_field._proof_2
0.000018    20483 padic.normed_field
0.000017    20484 padic_int.has_zero._proof_1
0.000018    20485 padic_int.has_zero
0.000018    20486 padic_int.coe_zero
0.000018    20487 padic_int.ring._proof_2
0.000018    20488 padic_int.ring._proof_3
0.000018    20489 padic_int.ring._proof_4
0.000018    20490 padic_int.ring._proof_5
0.000017    20491 padic_int.has_neg._match_1
0.000018    20492 padic_int.has_neg
0.000018    20493 padic_int.has_sub._match_1
0.000018    20494 padic_int.has_sub._match_2
0.000018    20495 padic_int.has_sub
0.000018    20496 padic_int.coe_sub
0.000028    20497 padic_int.coe_neg
0.000015    20498 padic_int.ring._proof_6
0.000015    20499 padic_int.ring._proof_7
0.000018    20500 padic_int.ring._proof_8
0.000019    20501 padic_norm_e.mul
0.000018    20502 padic_int.has_mul._match_1
0.000018    20503 padic_int.has_mul._match_2
0.000018    20504 padic_int.has_mul
0.000018    20505 padic_int.coe_mul
0.000018    20506 padic_int.ring._proof_9
0.000018    20507 padic_int.has_one._proof_1
0.000018    20508 padic_int.has_one
0.000018    20509 padic_int.coe_one
0.000018    20510 padic_int.ring._proof_10
0.000018    20511 padic_int.ring._proof_11
0.000018    20512 padic_int.ring._proof_12
0.000018    20513 padic_int.ring._proof_13
0.000018    20514 padic_int.ring._proof_14
0.000018    20515 padic_int.ring._proof_15
0.000018    20516 padic_int.ring
0.000018    20517 padic_int.has_norm
0.000018    20518 polynomial.derivative
0.000018    20519 padic.has_div
0.000018    20520 _private.2628919033.T
0.000015    20521 _private.490510495.ih
0.000017    20522 padic_int.coe.ring_hom._proof_1
0.000018    20523 padic_int.coe.ring_hom._proof_2
0.000018    20524 padic_int.coe.ring_hom
0.000018    20525 padic_int.coe_pow
0.000018    20526 padic_int.norm_def
0.000018    20527 padic_int.norm_one_class
0.000018    20528 padic_int.norm_mul
0.000018    20529 padic_int.norm_pow
1.976841    20530 _private.104680167.T_def
0.000078    20531 padic_int.metric_space
0.000020    20532 padic_int.normed_comm_ring._match_1
0.000016    20533 padic_int.normed_comm_ring._match_2
0.000015    20534 padic_int.normed_comm_ring._proof_1
0.000015    20535 padic_int.normed_comm_ring._match_3
0.000015    20536 padic_int.normed_comm_ring._match_4
0.000015    20537 padic_int.normed_comm_ring._proof_2
0.000018    20538 padic_int.mul_comm
0.000018    20539 padic_int.normed_comm_ring
0.000016    20540 _private.2573104711.deriv_sq_norm_pos
0.000015    20541 _private.297358827.ih_0
0.000015    20542 pow_two_sub_pow_two
0.000019    20543 eq_or_eq_neg_of_pow_two_eq_pow_two
0.000019    20544 eq_of_pow_two_eq_pow_two
0.000017    20545 padic_int.norm_le_one
0.000016    20546 padic_int.norm_eq_padic_norm
0.000015    20547 padic_int.padic_norm_e_of_padic_int
0.000015    20548 div_sq_cancel
0.000017    20549 _private.3922710765.deriv_sq_norm_ne_zero
0.000016    20550 _private.2698966527.calc_eval_z'_norm
0.000017    20551 _private.3940601187.ih_n._match_1
0.000018    20552 neg_square
0.000018    20553 padic_int.val_eq_coe
0.000018    20554 subtype.coe_eta
0.000018    20555 _private.3499387053.calc_eval_z'._match_1
0.000018    20556 tactic.ring_exp.pow_pf_sum
0.000019    20557 tactic.ring_exp.pow_pf_zero
0.000018    20558 tactic.ring_exp.exp_to_prod_pf
0.000018    20559 tactic.ring_exp.pow_p_pf_cons
0.000017    20560 tactic.ring_exp.pow_p_pf_succ
0.000018    20561 tactic.ring_exp.pow_p_pf_one
0.000018    20562 tactic.ring_exp.add_pf_sum_overlap
0.000019    20563 is_symm.symm
0.000017    20564 symm
0.000019    20565 is_equiv.to_is_symm
0.000017    20566 tactic.ring_exp.mul_pp_pf_overlap
0.000018    20567 tactic.ring_exp.prod_congr
0.000018    20568 tactic.ring_exp.exp_congr
0.000018    20569 tactic.ring_exp.add_overlap_pf
0.000018    20570 tactic.ring_exp.pow_p_pf_singleton
0.000018    20571 tactic.ring_exp.pow_pp_pf_prod
0.000018    20572 tactic.ring_exp.pow_e_pf_exp
0.000018    20573 tactic.ring_exp.pow_pp_pf_one
0.000018    20574 polynomial.pow_add_expansion._main
0.000018    20575 polynomial.pow_add_expansion
0.000018    20576 _private.836590621.poly_binom_aux1._proof_1
0.000018    20577 _private.836590621.poly_binom_aux1
0.000018    20578 _private.4124296027.poly_binom_aux2
0.000018    20579 _private.3023778131.poly_binom_aux3
0.000018    20580 polynomial.eval_eq_sum
0.000018    20581 polynomial.derivative.equations._eqn_1
0.000018    20582 polynomial.C_eq_nat_cast
0.000018    20583 polynomial.derivative_apply
0.000017    20584 ring_hom.is_add_monoid_hom
0.000018    20585 is_add_monoid_hom.map_add
0.000018    20586 polynomial.eval₂_sum
0.000018    20587 polynomial.eval_sum
0.000018    20588 polynomial.derivative_eval
0.000018    20589 polynomial.binom_expansion._proof_1
0.000018    20590 polynomial.binom_expansion
0.000018    20591 _private.445287609.deriv_norm_ne_zero
0.000018    20592 _private.3499387053.calc_eval_z'._proof_1
0.000018    20593 _private.3499387053.calc_eval_z'
0.000018    20594 padic_seq.norm_eq_of_add_equiv_zero
0.000018    20595 padic_seq.add_eq_max_of_ne
0.000018    20596 padic_norm_e.add_eq_max_of_ne'
0.000018    20597 padic_norm_e.add_eq_max_of_ne
0.000018    20598 padic_int.norm_add_eq_max_of_ne
0.000018    20599 padic_int.norm_eq_of_norm_add_lt_right
0.000017    20600 tactic.ring_exp.add_pf_sum_overlap_zero
0.000018    20601 tactic.ring_exp.add_overlap_pf_zero
0.000018    20602 polynomial.pow_sub_pow_factor._main
0.000018    20603 polynomial.pow_sub_pow_factor
0.000018    20604 neg.is_add_group_hom
0.000018    20605 finset.sum_neg_distrib
0.000018    20606 finset.sum_sub_distrib
0.000018    20607 finsupp.sum_sub
0.000018    20608 polynomial.eval_sub_factor._proof_1
0.000016    20609 polynomial.eval_sub_factor
0.000015    20610 padic_polynomial_dist
0.000017    20611 add_add_neg_cancel'_right
0.000018    20612 _private.1608699331.deriv_norm_pos
0.000018    20613 div_lt_one
0.000018    20614 _private.139013675.T_lt_one
0.000018    20615 _private.1124323785.T_pow
0.000018    20616 _private.2244356431.calc_deriv_dist
0.000018    20617 _private.3940601187.ih_n._proof_1
0.000018    20618 _private.2026162011.T_pow_nonneg
0.000018    20619 _private.3667137893.T_pow'
0.000018    20620 _private.1849792777.calc_norm_le_one
0.000018    20621 _private.3940601187.ih_n
0.000019    20622 _private.4025450023.newton_seq_aux._main
0.000018    20623 _private.4025450023.newton_seq_aux
0.000018    20624 omega.int.preterm
0.000018    20625 omega.int.preform
0.000018    20626 omega.int.preform.below
0.000018    20627 omega.int.preform.brec_on
0.000018    20628 omega.int.preform.cases_on
0.000018    20629 omega.int.push_neg._main
0.000018    20630 omega.int.push_neg
0.000018    20631 omega.int.nnf._main
0.000018    20632 omega.int.nnf
0.000018    20633 omega.int.nnf._main.equations._eqn_3
0.000018    20634 omega.int.nnf.equations._eqn_3
0.000018    20635 filter.germ.has_sup
0.000018    20636 filter.germ.lift_rel._proof_1
0.000018    20637 filter.germ.lift_rel
0.000018    20638 filter.germ.has_le
0.169145    20639 filter.eventually_le.refl
0.000079    20640 filter.germ.preorder._proof_1
0.000021    20641 quotient.induction_on₃'
0.000017    20642 filter.germ.induction_on₃
0.000015    20643 filter.germ.preorder._proof_2
0.000015    20644 filter.germ.preorder._proof_3
0.000020    20645 filter.germ.preorder
0.000018    20646 filter.germ.partial_order._proof_1
0.000018    20647 filter.germ.partial_order._proof_2
0.000018    20648 filter.germ.partial_order._proof_3
0.000016    20649 quotient.induction_on₂'
0.000018    20650 filter.germ.induction_on₂
0.000016    20651 filter.eventually_eq.germ_eq
0.000018    20652 filter.eventually_le.antisymm
0.000018    20653 filter.germ.partial_order._proof_4
0.000016    20654 filter.germ.partial_order
0.000020    20655 filter.germ.semilattice_sup._proof_1
0.000016    20656 filter.germ.semilattice_sup._proof_2
0.000018    20657 filter.germ.semilattice_sup._proof_3
0.000018    20658 filter.germ.semilattice_sup._proof_4
0.000018    20659 filter.germ.semilattice_sup._proof_5
0.000018    20660 filter.germ.semilattice_sup._proof_6
0.000017    20661 filter.germ.semilattice_sup._proof_7
0.000019    20662 filter.germ.semilattice_sup
0.000018    20663 filter.germ.semilattice_sup_top._proof_8
0.000018    20664 has_strict_deriv_at.sin
0.000017    20665 category_theory.bundled_hom.map_hom
0.000018    20666 category_theory.bundled_hom.parent_projection
0.000018    20667 category_theory.bundled_hom.map._proof_1
0.000018    20668 category_theory.bundled_hom.map._proof_2
0.000018    20669 category_theory.bundled_hom.map._proof_3
0.000018    20670 category_theory.bundled_hom.map
0.000018    20671 category_theory.bundled_hom.bundled_hom_of_parent_projection
0.000018    20672 SemiRing.bundled_hom._proof_1
0.000018    20673 SemiRing.bundled_hom._proof_2
0.000018    20674 SemiRing.bundled_hom
0.000018    20675 Ring.ring.to_semiring.category_theory.bundled_hom.parent_projection
0.000018    20676 CommRing.comm_ring.to_ring.category_theory.bundled_hom.parent_projection
0.000018    20677 CommRing.large_category
0.000018    20678 CommRing.concrete_category
0.000018    20679 TopCommRing.forget_comm_ring
0.000018    20680 TopCommRing.has_forget_to_CommRing._proof_1
0.000018    20681 TopCommRing.has_forget_to_CommRing._proof_2
0.000018    20682 TopCommRing.has_forget_to_CommRing
0.000018    20683 equiv.equiv_subsingleton_cod
0.000018    20684 equiv.perm_subsingleton
0.000017    20685 equiv.perm.subsingleton_eq_refl
0.000018    20686 equiv.perm.coe_subsingleton
0.000018    20687 measurable_equiv.prod_comm._proof_1
0.000018    20688 measurable_equiv.prod_comm._proof_2
0.000018    20689 measurable_equiv.prod_comm
0.000018    20690 measurable_equiv.cases_on
0.000018    20691 measurable_equiv.sum_congr._proof_1
0.000015    20692 measurable_equiv.sum_congr._proof_2
0.000015    20693 measurable_equiv.sum_congr
0.000017    20694 measurable_equiv.prod_sum_distrib
0.000019    20695 measurable_equiv.prod_sum_distrib.equations._eqn_1
0.000018    20696 is_submonoid
0.000018    20697 is_subgroup
0.000018    20698 normal_subgroup
0.000017    20699 ulift.has_one
0.000018    20700 ulift.has_mul
0.000018    20701 ulift.comm_group._proof_5
0.000018    20702 alg_equiv
0.000018    20703 opposite.op
0.000018    20704 opposite.has_add
0.000018    20705 opposite.unop_injective
0.000017    20706 opposite.add_semigroup._proof_1
0.000018    20707 opposite.add_semigroup
0.000018    20708 opposite.add_monoid._proof_1
0.000018    20709 opposite.has_zero
0.000018    20710 opposite.add_zero_class._proof_1
0.000018    20711 opposite.add_zero_class._proof_2
0.000018    20712 opposite.add_zero_class
0.000018    20713 opposite.add_monoid._proof_2
0.000018    20714 opposite.add_monoid._proof_3
0.000017    20715 opposite.add_monoid._proof_4
0.000019    20716 opposite.add_monoid._proof_5
0.000018    20717 opposite.add_monoid._proof_6
0.000018    20718 opposite.add_monoid._proof_7
0.000018    20719 opposite.add_monoid
0.000018    20720 opposite.add_comm_monoid._proof_1
0.000018    20721 opposite.add_comm_monoid._proof_2
0.000018    20722 opposite.add_comm_monoid._proof_3
0.000018    20723 opposite.add_comm_monoid._proof_4
0.000018    20724 opposite.add_comm_monoid._proof_5
0.000018    20725 opposite.add_comm_semigroup._proof_1
0.000018    20726 opposite.add_comm_semigroup._proof_2
0.000018    20727 opposite.add_comm_semigroup
0.000018    20728 opposite.add_comm_monoid._proof_6
0.000017    20729 opposite.add_comm_monoid
0.000018    20730 opposite.semiring._proof_1
0.000018    20731 opposite.semiring._proof_2
0.000018    20732 opposite.semiring._proof_3
0.000018    20733 opposite.semiring._proof_4
0.000018    20734 opposite.semiring._proof_5
0.000018    20735 opposite.semiring._proof_6
0.000018    20736 opposite.has_mul
0.000017    20737 opposite.semigroup._proof_1
0.000018    20738 opposite.semigroup
0.000018    20739 opposite.monoid._proof_1
0.000018    20740 opposite.has_one
0.000018    20741 opposite.mul_one_class._proof_1
0.000018    20742 opposite.mul_one_class._proof_2
0.753750    20743 opposite.mul_one_class
0.000075    20744 opposite.monoid._proof_2
0.000024    20745 opposite.monoid._proof_3
0.000015    20746 opposite.monoid._proof_4
0.000015    20747 opposite.monoid._proof_5
0.000015    20748 opposite.monoid._proof_6
0.000015    20749 opposite.monoid._proof_7
0.000015    20750 opposite.monoid
0.000015    20751 opposite.semiring._proof_7
0.000019    20752 opposite.semiring._proof_8
0.000019    20753 opposite.semiring._proof_9
0.000018    20754 opposite.semiring._proof_10
0.000018    20755 opposite.semiring._proof_11
0.000016    20756 opposite.semiring._proof_12
0.000020    20757 opposite.semiring._proof_13
0.000019    20758 opposite.distrib._proof_1
0.000016    20759 opposite.distrib._proof_2
0.000017    20760 opposite.distrib
0.000018    20761 opposite.semiring._proof_14
0.000016    20762 opposite.semiring._proof_15
0.000015    20763 opposite.semiring
0.000015    20764 quaternion_algebra.has_coe_t
0.000017    20765 quaternion_algebra.algebra._proof_1
0.000016    20766 quaternion_algebra.coe_re
0.000018    20767 quaternion_algebra.coe_im_i
0.000018    20768 quaternion_algebra.coe_im_j
0.000019    20769 quaternion_algebra.coe_im_k
0.000017    20770 quaternion_algebra.algebra._proof_2
0.000019    20771 quaternion_algebra.algebra._proof_3
0.000018    20772 quaternion_algebra.algebra._proof_4
0.000018    20773 quaternion_algebra.algebra._proof_5
0.000018    20774 quaternion_algebra.algebra._proof_6
0.000018    20775 quaternion_algebra.algebra
0.000018    20776 opposite.has_scalar
0.000018    20777 add_equiv.symm._proof_1
0.000018    20778 add_equiv.symm._proof_2
0.000018    20779 add_hom
0.000018    20780 add_hom.to_fun
0.000018    20781 add_hom.has_coe_to_fun
0.000018    20782 add_hom.map_add'
0.000018    20783 add_hom.map_add
0.000016    20784 add_hom.inverse._proof_1
0.000014    20785 add_hom.inverse
0.000017    20786 add_equiv.map_add'
0.000019    20787 add_equiv.to_add_hom
0.000018    20788 add_equiv.symm._proof_3
0.000018    20789 add_equiv.symm
0.000018    20790 add_equiv.apply_symm_apply
0.000018    20791 add_equiv.map_add
0.000018    20792 add_equiv.map_zero
0.000018    20793 add_equiv.to_add_monoid_hom._proof_1
0.000018    20794 add_equiv.to_add_monoid_hom
0.000018    20795 opposite.unop_op
0.000018    20796 opposite.op_unop
0.000018    20797 opposite.equiv_to_opposite
0.000018    20798 opposite.op_add_equiv._proof_1
0.000018    20799 opposite.op_add_equiv._proof_2
0.000018    20800 opposite.op_add_equiv._proof_3
0.000018    20801 opposite.op_add_equiv
0.000018    20802 ring_hom.to_opposite._proof_1
0.000018    20803 add_equiv.coe_to_add_monoid_hom
0.000018    20804 opposite.coe_op_add_equiv
0.000018    20805 opposite.op_mul
0.000019    20806 ring_hom.to_opposite._proof_2
0.000018    20807 ring_hom.to_opposite._proof_3
0.000018    20808 ring_hom.to_opposite._proof_4
0.000018    20809 ring_hom.to_opposite
0.000018    20810 opposite.algebra._proof_1
0.000018    20811 opposite.op_induction
0.000018    20812 opposite.algebra._proof_2
0.000018    20813 opposite.algebra._proof_3
0.000018    20814 opposite.algebra
0.000018    20815 alg_equiv.to_fun
0.000018    20816 alg_equiv.has_coe_to_fun
0.000018    20817 function.involutive.right_inverse
0.000018    20818 function.involutive.to_equiv
0.000018    20819 linear_equiv.of_involutive._proof_1
0.000018    20820 linear_equiv.of_involutive._proof_2
0.000019    20821 linear_equiv.of_involutive
0.000018    20822 quaternion_algebra.mk_add_mk
0.000018    20823 quaternion_algebra.conj._proof_1
0.000018    20824 quaternion_algebra.smul_re
0.000018    20825 quaternion_algebra.smul_im_i
0.000018    20826 quaternion_algebra.smul_im_j
0.000018    20827 quaternion_algebra.smul_im_k
0.000018    20828 quaternion_algebra.conj._proof_2
0.000018    20829 quaternion_algebra.mk.eta
0.000018    20830 quaternion_algebra.conj._proof_3
0.000018    20831 quaternion_algebra.conj
0.000018    20832 add_equiv.trans._proof_1
0.000018    20833 add_equiv.trans._proof_2
0.000018    20834 add_equiv.trans._proof_3
0.000018    20835 add_equiv.trans
0.000019    20836 quaternion_algebra.conj_alg_equiv._proof_1
0.000018    20837 quaternion_algebra.conj_alg_equiv._proof_2
0.000018    20838 quaternion_algebra.re_conj
0.000018    20839 quaternion_algebra.im_i_conj
0.000018    20840 quaternion_algebra.im_j_conj
0.000018    20841 quaternion_algebra.im_k_conj
0.000019    20842 quaternion_algebra.conj_mul
0.000018    20843 quaternion_algebra.conj_alg_equiv._proof_3
0.000018    20844 quaternion_algebra.conj_alg_equiv._proof_4
0.000018    20845 quaternion_algebra.coe_algebra_map
0.000018    20846 quaternion_algebra.conj_coe
0.000018    20847 opposite.algebra_map_apply
0.000018    20848 opposite.op_inj_iff
0.000018    20849 quaternion_algebra.coe_injective
0.000019    20850 quaternion_algebra.coe_inj
0.000018    20851 quaternion_algebra.conj_alg_equiv._proof_5
0.000018    20852 quaternion_algebra.conj_alg_equiv
0.000018    20853 quaternion_algebra.coe_conj_alg_equiv
0.000018    20854 pgame.cases_on
0.000018    20855 pgame.left_moves._main
0.410288    20856 pgame.left_moves._main.equations._eqn_1
0.000076    20857 prod.lattice._proof_6
0.000024    20858 equiv.trans_apply
0.000016    20859 equiv.perm.mul_apply
0.000015    20860 equiv.perm.apply_inv_self
0.000015    20861 equiv.perm.eq_inv_iff_eq
0.000015    20862 equiv.swap_mul_eq_mul_swap
0.000015    20863 nonunits
0.000015    20864 local_ring.is_local
0.000018    20865 local_ring.is_unit_one_sub_self_of_mem_nonunits
0.000018    20866 monoid_hom.cod_mrestrict._proof_1
0.000019    20867 monoid_hom.cod_mrestrict._proof_2
0.000016    20868 monoid_hom.cod_mrestrict
0.000015    20869 monoid_hom.cod_mrestrict.equations._eqn_1
0.000016    20870 category_theory.iso
0.000017    20871 category_theory.iso.hom
0.000018    20872 category_theory.monoidal