gistfile1.txt

0.047845        1 eq
0.000094        2 false
0.000025        3 not
0.000015        4 decidable
0.000015        5 decidable_rel
0.000014        6 decidable_eq
0.000014        7 has_mul
0.000014        8 has_mul.mul
0.000014        9 has_one
0.000014       10 has_one.one
0.000015       11 nat
0.000013       12 list
0.000015       13 or
0.000013       14 has_lt
0.000014       15 has_lt.lt
0.000014       16 nat.less_than_or_equal
0.000015       17 nat.lt
0.000014       18 nat.has_lt
0.000017       19 has_add
0.000015       20 has_add.add
0.000016       21 bit0
0.000017       22 punit
0.000015       23 pprod
0.000016       24 nat.below
0.000015       25 pprod.fst
0.000016       26 nat.brec_on
0.000017       27 nat.cases_on
0.000017       28 id_rhs
0.000016       29 nat.add._main
0.000016       30 nat.add
0.000017       31 nat.has_add
0.000015       32 bit1
0.000016       33 nat.has_one
0.000019       34 and
0.000015       35 is_valid_char
0.000017       36 char
0.000015       37 string_imp
0.000016       38 string
0.000015       39 subtype
0.000016       40 fin
0.000015       41 unsigned_sz
0.000016       42 unsigned
0.000015       43 name
0.000014       44 auto_param
0.000016       45 has_zero
0.000015       46 has_zero.zero
0.000015       47 nat.has_zero
0.000016       48 mul_one_class
0.000015       49 mul_one_class.one
0.000014       50 mul_one_class.to_has_one
0.000016       51 string_imp.cases_on
0.000015       52 has_append
0.000016       53 has_append.append
0.000015       54 list.below
0.000014       55 list.brec_on
0.000017       56 list.cases_on
0.000015       57 list.append._main
0.000014       58 list.append
0.000016       59 list.has_append
0.000016       60 string.push._main
0.000014       61 string.push
0.000016       62 string.str
0.000015       63 string.empty
0.000014       64 decidable.rec_on
0.000016       65 dite
0.000015       66 or.decidable
0.000015       67 has_le
0.000015       68 has_le.le
0.000016       69 nat.has_le
0.000015       70 nat.le_refl
0.000016       71 nat.zero_le
0.000014       72 nat.less_than_or_equal.dcases_on
0.000016       73 heq
0.000016       74 nat.no_confusion_type
0.000014       75 nat.no_confusion
0.000016       76 nat.not_succ_le_zero
0.000015       77 decidable.cases_on
0.000014       78 nat.pred._main
0.000016       79 nat.pred
0.000016       80 nat.less_than_or_equal.rec_on
0.000014       81 nat.pred_le_pred
0.000016       82 nat.le_of_succ_le_succ
0.000015       83 nat.succ_le_succ
0.000015       84 nat.decidable_le._match_1
0.000016       85 nat.decidable_le._main
0.000015       86 nat.decidable_le
0.000016       87 nat.decidable_lt
0.000016       88 and.right
0.000014       89 and.decidable._proof_1
0.000016       90 and.left
0.000015       91 and.decidable._proof_2
0.000015       92 and.decidable
0.000016       93 ne
0.000015       94 absurd
0.000014       95 rfl
0.000017       96 eq.subst
0.000015       97 trans_rel_left
0.000014       98 nat.zero_lt_succ
0.000016       99 eq.symm
0.000015      100 congr
0.000016      101 congr_arg
0.000015      102 nat.succ_add
0.000016      103 nat.bit0_succ_eq
0.000015      104 nat.zero_lt_bit0
0.000016      105 nat.bit0_ne_zero
0.000015      106 nat.bit1_ne_zero
0.000016      107 char.zero_lt_d800
0.000015      108 char.of_nat._proof_1
0.000016      109 char.of_nat
0.000015      110 mul_one_class.mul
0.000015      111 mul_one_class.to_has_mul
0.000016      112 semigroup
0.000015      113 semigroup.mul
0.000016      114 semigroup.to_has_mul
0.000016      115 has_div
0.000014      116 has_div.div
0.000016      117 monoid
0.000015      118 monoid.one
0.000017      119 monoid.mul
0.000015      120 monoid.one_mul
0.000014      121 monoid.mul_one
0.000016      122 monoid.to_mul_one_class
0.000015      123 has_inv
0.000015      124 has_inv.inv
0.000016      125 Exists
0.000015      126 div_inv_monoid
0.000027      127 div_inv_monoid.inv
0.000018      128 div_inv_monoid.to_has_inv
0.000017      129 mul_zero_class
0.000018      130 mul_zero_class.zero
0.000015      131 mul_zero_class.to_has_zero
0.000016      132 monoid_with_zero
0.000018      133 monoid_with_zero.mul
0.000016      134 monoid_with_zero.zero
0.000015      135 monoid_with_zero.zero_mul
0.000016      136 monoid_with_zero.mul_zero
0.000017      137 monoid_with_zero.to_mul_zero_class
0.000017      138 mul_zero_class.mul
0.000017      139 mul_zero_class.to_has_mul
0.000017      140 monoid_with_zero.mul_assoc
0.000017      141 monoid_with_zero.one
0.000017      142 monoid_with_zero.one_mul
0.000017      143 monoid_with_zero.mul_one
0.000017      144 monoid_with_zero.npow
0.000017      145 monoid_with_zero.npow_zero'
0.000017      146 monoid_with_zero.npow_succ'
0.000017      147 monoid_with_zero.to_monoid
0.000017      148 comm_group_with_zero
0.000017      149 group_with_zero
0.000016      150 group_with_zero.mul
0.000017      151 group_with_zero.mul_assoc
0.000017      152 group_with_zero.one
0.000017      153 group_with_zero.one_mul
0.000017      154 group_with_zero.mul_one
0.000017      155 group_with_zero.npow
0.000017      156 group_with_zero.npow_zero'
0.000017      157 group_with_zero.npow_succ'
0.000017      158 group_with_zero.zero
0.000017      159 group_with_zero.zero_mul
0.000017      160 group_with_zero.mul_zero
0.000016      161 group_with_zero.to_monoid_with_zero
0.000017      162 comm_group_with_zero.mul
0.000017      163 comm_group_with_zero.mul_assoc
0.000017      164 comm_group_with_zero.one
0.000017      165 comm_group_with_zero.one_mul
0.000017      166 comm_group_with_zero.mul_one
0.000017      167 comm_group_with_zero.npow
0.102028      168 comm_group_with_zero.npow_zero'
0.000051      169 comm_group_with_zero.npow_succ'
0.000027      170 comm_group_with_zero.zero
0.000014      171 comm_group_with_zero.zero_mul
0.000014      172 comm_group_with_zero.mul_zero
0.000015      173 comm_group_with_zero.inv
0.000014      174 comm_group_with_zero.div
0.000014      175 comm_group_with_zero.div_eq_mul_inv
0.000018      176 comm_group_with_zero.exists_pair_ne
0.000017      177 comm_group_with_zero.inv_zero
0.000017      178 comm_group_with_zero.mul_inv_cancel
0.000017      179 comm_group_with_zero.to_group_with_zero
0.000016      180 has_lift_t
0.000015      181 has_lift_t.lift
0.000018      182 lift_t
0.000018      183 coe
0.000017      184 units
0.000014      185 comm_monoid_with_zero
0.000015      186 comm_monoid_with_zero.mul
0.000014      187 comm_monoid_with_zero.mul_assoc
0.000017      188 comm_monoid_with_zero.one
0.000017      189 comm_monoid_with_zero.one_mul
0.000016      190 comm_monoid_with_zero.mul_one
0.000016      191 comm_monoid_with_zero.npow
0.000014      192 comm_monoid_with_zero.npow_zero'
0.000017      193 comm_monoid_with_zero.npow_succ'
0.000018      194 comm_monoid_with_zero.zero
0.000017      195 comm_monoid_with_zero.zero_mul
0.000017      196 comm_monoid_with_zero.mul_zero
0.000017      197 comm_monoid_with_zero.to_monoid_with_zero
0.000016      198 comm_cancel_monoid_with_zero
0.000017      199 comm_cancel_monoid_with_zero.mul
0.000017      200 comm_cancel_monoid_with_zero.mul_assoc
0.000017      201 comm_cancel_monoid_with_zero.one
0.000017      202 comm_cancel_monoid_with_zero.one_mul
0.000017      203 comm_cancel_monoid_with_zero.mul_one
0.000017      204 comm_cancel_monoid_with_zero.npow
0.000017      205 comm_cancel_monoid_with_zero.npow_zero'
0.000016      206 comm_cancel_monoid_with_zero.npow_succ'
0.000018      207 comm_cancel_monoid_with_zero.mul_comm
0.000017      208 comm_cancel_monoid_with_zero.zero
0.000017      209 comm_cancel_monoid_with_zero.zero_mul
0.000017      210 comm_cancel_monoid_with_zero.mul_zero
0.000017      211 comm_cancel_monoid_with_zero.to_comm_monoid_with_zero
0.000016      212 cancel_monoid_with_zero
0.000017      213 cancel_monoid_with_zero.mul
0.000017      214 eq.rec_on
0.000017      215 eq.mpr._proof_1
0.000016      216 eq.mpr
0.000017      217 group_with_zero.inv
0.000017      218 group_with_zero.div
0.000017      219 group_with_zero.div_eq_mul_inv
0.000017      220 group_with_zero.to_div_inv_monoid
0.000017      221 id
0.000017      222 eq.trans
0.000017      223 monoid.mul_assoc
0.000017      224 monoid.to_semigroup
0.000017      225 semigroup.mul_assoc
0.000015      226 mul_assoc
0.000017      227 true
0.000016      228 group_with_zero.mul_inv_cancel
0.000017      229 mul_inv_cancel
0.000017      230 iff
0.000017      231 iff.mpr
0.000017      232 iff.refl
0.000017      233 ne.def
0.000017      234 propext
0.000017      235 iff_false_intro
0.000017      236 trivial
0.000017      237 iff_true_intro
0.000016      238 not_false
0.000017      239 not_false_iff
0.000017      240 mul_one_class.mul_one
0.000017      241 mul_one
0.000017      242 eq_self_iff_true
0.000025      243 mul_inv_cancel_right'
0.000016      244 eq.mp
0.000014      245 mul_zero_class.mul_zero
0.000014      246 mul_zero
0.000018      247 nontrivial
0.000018      248 Exists.dcases_on
0.000016      249 nontrivial.exists_pair_ne
0.000017      250 exists_pair_ne
0.000018      251 mul_one_class.one_mul
0.000017      252 one_mul
0.000017      253 mul_zero_class.zero_mul
0.000016      254 zero_mul
0.000017      255 zero_ne_one
0.000017      256 group_with_zero.exists_pair_ne
0.000017      257 group_with_zero.to_nontrivial
0.000017      258 inv_ne_zero
0.000017      259 inv_mul_cancel
0.000017      260 inv_mul_cancel_left'
0.000017      261 group_with_zero.cancel_monoid_with_zero._proof_1
0.000016      262 group_with_zero.cancel_monoid_with_zero._proof_2
0.000018      263 group_with_zero.cancel_monoid_with_zero
0.000016      264 cancel_monoid_with_zero.mul_assoc
0.000017      265 comm_group_with_zero.comm_cancel_monoid_with_zero._proof_1
0.000017      266 cancel_monoid_with_zero.one
0.000017      267 cancel_monoid_with_zero.one_mul
0.000018      268 comm_group_with_zero.comm_cancel_monoid_with_zero._proof_2
0.000017      269 cancel_monoid_with_zero.mul_one
0.000017      270 comm_group_with_zero.comm_cancel_monoid_with_zero._proof_3
0.000017      271 cancel_monoid_with_zero.npow
0.000017      272 cancel_monoid_with_zero.npow_zero'
0.000017      273 comm_group_with_zero.comm_cancel_monoid_with_zero._proof_4
0.000017      274 cancel_monoid_with_zero.npow_succ'
0.000017      275 comm_group_with_zero.comm_cancel_monoid_with_zero._proof_5
0.000017      276 comm_group_with_zero.mul_comm
0.000017      277 comm_group_with_zero.to_comm_monoid_with_zero
0.000017      278 comm_monoid_with_zero.mul_comm
0.000017      279 comm_group_with_zero.comm_cancel_monoid_with_zero._proof_6
0.000017      280 cancel_monoid_with_zero.zero
0.000017      281 cancel_monoid_with_zero.zero_mul
0.000017      282 comm_group_with_zero.comm_cancel_monoid_with_zero._proof_7
0.254307      283 cancel_monoid_with_zero.mul_zero
0.000060      284 comm_group_with_zero.comm_cancel_monoid_with_zero._proof_8
0.000032      285 cancel_monoid_with_zero.mul_left_cancel_of_ne_zero
0.000026      286 comm_group_with_zero.comm_cancel_monoid_with_zero._proof_9
0.000025      287 cancel_monoid_with_zero.mul_right_cancel_of_ne_zero
0.000019      288 comm_group_with_zero.comm_cancel_monoid_with_zero._proof_10
0.000015      289 comm_group_with_zero.comm_cancel_monoid_with_zero
0.000013      290 has_coe_t
0.000015      291 has_coe_t.coe
0.000014      292 coe_t
0.000014      293 coe_to_lift
0.000014      294 has_coe
0.000019      295 has_coe.coe
0.000017      296 coe_b
0.000015      297 coe_base
0.000016      298 units.val
0.000018      299 units.has_coe
0.000015      300 div_inv_monoid.mul
0.000016      301 div_inv_monoid.mul_assoc
0.000018      302 div_inv_monoid.one
0.000017      303 div_inv_monoid.one_mul
0.000017      304 div_inv_monoid.mul_one
0.000017      305 div_inv_monoid.npow
0.000017      306 div_inv_monoid.npow_zero'
0.000017      307 div_inv_monoid.npow_succ'
0.000015      308 div_inv_monoid.to_monoid
0.000016      309 group
0.000015      310 group.mul
0.000015      311 group.mul_assoc
0.000016      312 group.one
0.000015      313 group.one_mul
0.000014      314 group.mul_one
0.000016      315 group.npow
0.000015      316 group.npow_zero'
0.000017      317 group.npow_succ'
0.000015      318 group.inv
0.000014      319 group.div
0.000016      320 group.div_eq_mul_inv
0.000015      321 group.to_div_inv_monoid
0.000017      322 units.inv
0.000015      323 units.val_inv
0.000014      324 units.group._proof_1
0.000014      325 units.inv_val
0.000017      326 units.group._proof_2
0.000015      327 function.injective
0.000016      328 units.cases_on
0.000017      329 eq.drec
0.000014      330 units.ext
0.000016      331 units.group._proof_3
0.000015      332 units.group._proof_4
0.000017      333 units.group._proof_5
0.000015      334 units.group._proof_6
0.000016      335 units.group._proof_7
0.000015      336 npow_rec._main
0.000014      337 npow_rec
0.000016      338 monoid.npow._default
0.000015      339 div_inv_monoid.npow._default
0.000017      340 units.group._proof_8
0.000015      341 units.group._proof_9
0.000014      342 units.group._proof_10
0.000025      343 units.group._proof_11
0.000017      344 div_inv_monoid.div._default
0.000014      345 units.group._proof_12
0.000014      346 units.group._proof_13
0.000017      347 units.group._proof_14
0.000017      348 units.group._proof_15
0.000016      349 units.group._proof_16
0.000018      350 units.group._proof_17
0.000017      351 units.group._proof_18
0.000017      352 units.group
0.000017      353 normalization_monoid
0.000017      354 normalization_monoid.norm_unit
0.000017      355 comm_group_with_zero.normalization_monoid._proof_1
0.000017      356 comm_group_with_zero.normalization_monoid._proof_2
0.000017      357 units.mk0
0.000017      358 dif_pos
0.000017      359 comm_group_with_zero.normalization_monoid._proof_3
0.000018      360 iff.mp
0.000017      361 function.injective.eq_iff
0.000015      362 units.eq_iff
0.000016      363 cancel_monoid_with_zero.to_monoid_with_zero
0.000017      364 comm_cancel_monoid_with_zero.mul_left_cancel_of_ne_zero
0.000017      365 comm_cancel_monoid_with_zero.mul_right_cancel_of_ne_zero
0.000017      366 comm_cancel_monoid_with_zero.to_cancel_monoid_with_zero
0.000017      367 iff.elim_right
0.000017      368 iff.elim_left
0.000017      369 not_iff_not_of_iff
0.000016      370 iff.trans
0.000018      371 no_zero_divisors
0.000017      372 no_zero_divisors.eq_zero_or_eq_zero_of_mul_eq_zero
0.000017      373 or.elim
0.000017      374 mul_eq_zero_of_left
0.000017      375 mul_eq_zero_of_right
0.000017      376 mul_eq_zero
0.000016      377 decidable.by_contradiction
0.000017      378 nonempty
0.000017      379 classical.choice
0.000017      380 subtype.val
0.000016      381 classical.indefinite_description._match_1
0.000018      382 classical.indefinite_description
0.000017      383 classical.some
0.000016      384 _private.811303905.U
0.000015      385 _private.29268479.exU
0.000014      386 _private.2710871855.u
0.000017      387 _private.3867973571.V
0.000015      388 _private.760126093.exV
0.000016      389 _private.2053038997.v
0.000015      390 subtype.property
0.000017      391 classical.some_spec
0.000015      392 _private.1247348485.u_def
0.000016      393 _private.2871420677.v_def
0.000015      394 ne_false_of_self
0.000015      395 true_ne_false
0.000016      396 _private.1339425711.not_uv_or_p
0.000015      397 mt
0.000014      398 reflexive
0.000016      399 symmetric
0.000015      400 transitive
0.000016      401 equivalence
0.000015      402 setoid
0.000015      403 setoid.r
0.000016      404 quotient
0.000015      405 function.equiv
0.000016      406 mk_equivalence
0.000015      407 function.equiv.refl
0.000015      408 function.equiv.symm
0.000016      409 function.equiv.trans
0.000015      410 function.equiv.is_equivalence
0.000015      411 _private.1627920919.fun_setoid
0.000016      412 _private.531824637.extfun
0.000015      413 quot.lift_on
0.000014      414 _private.1158032381.extfun_app._proof_1
0.000017      415 _private.1158032381.extfun_app
0.133474      416 quotient.mk
0.000053      417 has_equiv
0.000027      418 has_equiv.equiv
0.000014      419 setoid_has_equiv
0.000014      420 quot.sound
0.000015      421 quotient.sound
0.000014      422 funext
0.000014      423 _private.2277208427.p_implies_uv
0.000013      424 classical.em
0.000015      425 classical.prop_decidable._proof_1
0.000014      426 classical.prop_decidable
0.000018      427 classical.by_contradiction
0.000015      428 imp_of_not_imp_not
0.000015      429 imp_congr
0.000014      430 iff.rfl
0.000014      431 eq.to_iff
0.000016      432 imp_congr_eq
0.000014      433 and.dcases_on
0.000017      434 not_or_distrib
0.000017      435 push_neg.not_or_eq
0.000017      436 push_neg.not_eq
0.000015      437 left_ne_zero_of_mul
0.000016      438 trans_rel_right
0.000017      439 ne.symm
0.000018      440 one_ne_zero
0.000016      441 ne_zero_of_eq_one
0.000017      442 left_ne_zero_of_mul_eq_one
0.000015      443 units.mul_inv
0.000016      444 units.ne_zero
0.000017      445 group_with_zero.no_zero_divisors
0.000015      446 or.imp
0.000016      447 or_congr
0.000015      448 or_self
0.000014      449 decidable.false
0.000017      450 dif_ctx_congr
0.000016      451 dif_neg
0.000017      452 right_ne_zero_of_mul
0.000015      453 right_ne_zero_of_mul_eq_one
0.000015      454 eq_inv_of_mul_left_eq_one
0.000016      455 units.inv_mul
0.000015      456 units.coe_inv'
0.000016      457 units.coe_mk0
0.000015      458 group_with_zero.inv_zero
0.000014      459 inv_zero
0.000016      460 mul_inv_rev'
0.000015      461 comm_semigroup
0.000016      462 comm_semigroup.mul
0.000015      463 comm_semigroup.mul_assoc
0.000014      464 comm_semigroup.to_semigroup
0.000016      465 comm_monoid
0.000015      466 comm_monoid.mul
0.000016      467 comm_monoid.mul_assoc
0.000016      468 comm_monoid.mul_comm
0.000014      469 comm_monoid.to_comm_semigroup
0.000016      470 comm_monoid_with_zero.to_comm_monoid
0.000015      471 comm_semigroup.mul_comm
0.000014      472 mul_comm
0.000016      473 mul_inv'
0.000015      474 units.coe_mul
0.000016      475 or_true
0.000015      476 iff_self
0.000016      477 mul_left_cancel'
0.000014      478 mul_right_inj'
0.000017      479 false.elim
0.000015      480 or_false
0.000014      481 mul_eq_mul_left_iff
0.000016      482 function.involutive
0.000015      483 function.left_inverse
0.000017      484 function.left_inverse.injective
0.000015      485 function.involutive.left_inverse
0.000014      486 function.involutive.injective
0.000017      487 mul_inv_cancel_left'
0.000015      488 inv_inv'
0.000016      489 inv_involutive'
0.000015      490 inv_injective'
0.000014      491 inv_inj'
0.000016      492 eq_comm
0.000015      493 inv_eq_iff
0.000016      494 inv_eq_zero
0.000015      495 comm_group_with_zero.normalization_monoid._proof_4
0.000016      496 units.mk0_coe
0.000015      497 comm_group_with_zero.normalization_monoid._proof_5
0.000016      498 comm_group_with_zero.normalization_monoid
0.000014      499 comm_group_with_zero.coe_norm_unit
0.000016      500 add_zero_class
0.000036      501 add_zero_class.zero
0.000016      502 add_zero_class.to_has_zero
0.000015      503 add_zero_class.add
0.000014      504 add_zero_class.to_has_add
0.000017      505 has_sub
0.000015      506 has_sub.sub
0.000016      507 add_monoid
0.000015      508 add_monoid.zero
0.000016      509 add_monoid.add
0.000015      510 add_monoid.zero_add
0.000014      511 add_monoid.add_zero
0.000016      512 add_monoid.to_add_zero_class
0.000016      513 has_neg
0.000014      514 has_neg.neg
0.000016      515 sub_neg_monoid
0.000015      516 sub_neg_monoid.add
0.000015      517 sub_neg_monoid.add_assoc
0.000016      518 sub_neg_monoid.zero
0.000015      519 sub_neg_monoid.zero_add
0.000016      520 sub_neg_monoid.add_zero
0.000015      521 sub_neg_monoid.nsmul
0.000014      522 sub_neg_monoid.nsmul_zero'
0.000017      523 sub_neg_monoid.nsmul_succ'
0.000015      524 sub_neg_monoid.to_add_monoid
0.000014      525 sub_neg_monoid.neg
0.000016      526 sub_neg_monoid.to_has_neg
0.000015      527 add_semigroup
0.000016      528 add_semigroup.add
0.000015      529 add_semigroup.to_has_add
0.000016      530 preorder
0.000015      531 preorder.le
0.000016      532 preorder.to_has_le
0.000015      533 partial_order
0.000014      534 partial_order.le
0.000017      535 partial_order.lt
0.000014      536 partial_order.le_refl
0.000016      537 partial_order.le_trans
0.000015      538 partial_order.lt_iff_le_not_le
0.000016      539 partial_order.to_preorder
0.000015      540 add_group
0.000015      541 add_group.add
0.000014      542 add_group.add_assoc
0.000016      543 add_group.zero
0.000015      544 add_group.zero_add
0.000016      545 add_group.add_zero
0.000017      546 add_group.nsmul
0.000015      547 add_group.nsmul_zero'
0.000016      548 add_group.nsmul_succ'
0.000015      549 add_group.neg
0.000016      550 add_group.sub
0.000015      551 add_group.sub_eq_add_neg
0.000016      552 add_group.to_sub_neg_monoid
0.000015      553 add_comm_group
0.000017      554 add_comm_group.add
0.000015      555 add_comm_group.add_assoc
0.000016      556 add_comm_group.zero
0.000015      557 add_comm_group.zero_add
0.000016      558 add_comm_group.add_zero
0.000016      559 add_comm_group.nsmul
0.000014      560 add_comm_group.nsmul_zero'
0.000016      561 add_comm_group.nsmul_succ'
0.000015      562 add_comm_group.neg
0.179502      563 add_comm_group.sub
0.000054      564 add_comm_group.sub_eq_add_neg
0.000027      565 add_comm_group.add_left_neg
0.000014      566 add_comm_group.to_add_group
0.000014      567 ordered_add_comm_group
0.000014      568 ordered_add_comm_group.le
0.000015      569 ordered_add_comm_group.lt
0.000014      570 ordered_add_comm_group.le_refl
0.000014      571 ordered_add_comm_group.le_trans
0.000015      572 ordered_add_comm_group.lt_iff_le_not_le
0.000014      573 ordered_add_comm_group.le_antisymm
0.000014      574 ordered_add_comm_group.to_partial_order
0.000014      575 semiring
0.000014      576 semiring.mul
0.000020      577 semiring.mul_assoc
0.000017      578 semiring.one
0.000018      579 semiring.one_mul
0.000016      580 semiring.mul_one
0.000018      581 semiring.npow
0.000017      582 semiring.npow_zero'
0.000017      583 semiring.npow_succ'
0.000017      584 semiring.zero
0.000018      585 semiring.zero_mul
0.000017      586 semiring.mul_zero
0.000015      587 semiring.to_monoid_with_zero
0.000016      588 ring
0.000017      589 ring.add
0.000015      590 ring.add_assoc
0.000014      591 ring.zero
0.000016      592 ring.zero_add
0.000015      593 ring.add_zero
0.000016      594 ring.nsmul
0.000015      595 ring.nsmul_zero'
0.000017      596 ring.nsmul_succ'
0.000015      597 ring.add_comm
0.000014      598 ring.mul
0.000016      599 ring.mul_assoc
0.000015      600 ring.one
0.000016      601 ring.one_mul
0.000015      602 ring.mul_one
0.000014      603 ring.npow
0.000017      604 ring.npow_zero'
0.000014      605 ring.npow_succ'
0.000016      606 add_left_cancel_semigroup
0.000016      607 add_left_cancel_semigroup.add
0.000014      608 add_left_cancel_semigroup.add_assoc
0.000016      609 add_left_cancel_semigroup.to_add_semigroup
0.000015      610 add_left_cancel_semigroup.add_left_cancel
0.000015      611 add_left_cancel
0.000016      612 add_left_cancel_monoid
0.000015      613 add_left_cancel_monoid.add
0.000014      614 add_left_cancel_monoid.add_assoc
0.000017      615 add_left_cancel_monoid.add_left_cancel
0.000015      616 add_left_cancel_monoid.to_add_left_cancel_semigroup
0.000014      617 add_cancel_comm_monoid
0.000016      618 add_cancel_comm_monoid.add
0.000015      619 add_cancel_comm_monoid.add_assoc
0.000015      620 add_cancel_comm_monoid.add_left_cancel
0.000016      621 add_cancel_comm_monoid.zero
0.000015      622 add_cancel_comm_monoid.zero_add
0.000014      623 add_cancel_comm_monoid.add_zero
0.000016      624 add_cancel_comm_monoid.nsmul
0.000015      625 add_cancel_comm_monoid.nsmul_zero'
0.000017      626 add_cancel_comm_monoid.nsmul_succ'
0.000015      627 add_cancel_comm_monoid.to_add_left_cancel_monoid
0.000014      628 add_cancel_monoid
0.000016      629 add_cancel_monoid.add
0.000015      630 add_monoid.add_assoc
0.000016      631 add_monoid.to_add_semigroup
0.000015      632 add_semigroup.add_assoc
0.000015      633 add_assoc
0.000016      634 add_group.add_left_neg
0.000015      635 add_left_neg
0.000016      636 add_zero_class.zero_add
0.000016      637 zero_add
0.000016      638 neg_add_cancel_left
0.000015      639 add_group.to_cancel_add_monoid._proof_1
0.000014      640 add_zero_class.add_zero
0.000014      641 add_zero
0.000014      642 left_neg_eq_right_neg
0.000014      643 neg_add_self
0.000016      644 neg_eq_of_add_eq_zero
0.000015      645 neg_neg
0.000017      646 add_right_neg
0.000014      647 add_neg_cancel_right
0.000016      648 add_group.to_cancel_add_monoid._proof_2
0.000015      649 add_group.to_cancel_add_monoid
0.000016      650 add_cancel_monoid.add_assoc
0.000015      651 add_cancel_monoid.add_left_cancel
0.000017      652 add_comm_group.to_cancel_add_comm_monoid._proof_1
0.000015      653 add_comm_group.add_comm
0.000016      654 add_comm_group.to_cancel_add_comm_monoid
0.000014      655 ring.neg
0.000016      656 ring.sub
0.000015      657 ring.sub_eq_add_neg
0.000016      658 ring.add_left_neg
0.000015      659 ring.to_add_comm_group
0.000016      660 distrib
0.000016      661 distrib.mul
0.000014      662 distrib.to_has_mul
0.000016      663 ring.left_distrib
0.000015      664 ring.right_distrib
0.000016      665 ring.to_distrib
0.000014      666 distrib.add
0.000017      667 distrib.to_has_add
0.000014      668 distrib.right_distrib
0.000016      669 right_distrib
0.000015      670 add_mul
0.000018      671 ring.to_semiring._proof_1
0.000017      672 distrib.left_distrib
0.000015      673 left_distrib
0.000016      674 mul_add
0.000017      675 ring.to_semiring._proof_2
0.000015      676 ring.to_semiring
0.000016      677 ring.to_monoid
0.000015      678 preorder.lt
0.000016      679 preorder.to_has_lt
0.000015      680 comm_ring
0.000016      681 comm_ring.add
0.000015      682 comm_ring.add_assoc
0.000016      683 comm_ring.zero
0.000015      684 comm_ring.zero_add
0.000014      685 comm_ring.add_zero
0.000017      686 comm_ring.nsmul
0.000015      687 comm_ring.nsmul_zero'
0.000014      688 comm_ring.nsmul_succ'
0.000016      689 comm_ring.neg
0.000015      690 comm_ring.sub
0.000016      691 comm_ring.sub_eq_add_neg
0.000015      692 comm_ring.add_left_neg
0.000014      693 comm_ring.add_comm
0.000017      694 comm_ring.mul
0.000015      695 comm_ring.mul_assoc
0.000014      696 comm_ring.one
0.000016      697 comm_ring.one_mul
0.653286      698 comm_ring.mul_one
0.000072      699 comm_ring.npow
0.000024      700 comm_ring.npow_zero'
0.000015      701 comm_ring.npow_succ'
0.000049      702 comm_ring.left_distrib
0.000017      703 comm_ring.right_distrib
0.000014      704 comm_ring.to_ring
0.000014      705 linear_ordered_field
0.000014      706 directed_order
0.000014      707 directed_order.to_preorder
0.000014      708 linear_order
0.000017      709 has_inf
0.000018      710 has_inf.inf
0.000014      711 semilattice_inf
0.000018      712 semilattice_inf.le
0.000017      713 semilattice_inf.lt
0.000017      714 semilattice_inf.le_refl
0.000014      715 semilattice_inf.le_trans
0.000017      716 semilattice_inf.lt_iff_le_not_le
0.000017      717 semilattice_inf.le_antisymm
0.000017      718 semilattice_inf.to_partial_order
0.000017      719 has_sup
0.000014      720 has_sup.sup
0.000016      721 lattice
0.000018      722 lattice.inf
0.000016      723 lattice.le
0.000017      724 lattice.lt
0.000015      725 lattice.le_refl
0.000016      726 lattice.le_trans
0.000017      727 lattice.lt_iff_le_not_le
0.000016      728 lattice.le_antisymm
0.000017      729 lattice.inf_le_left
0.000015      730 lattice.inf_le_right
0.000014      731 lattice.le_inf
0.000016      732 lattice.to_semilattice_inf
0.000015      733 ite
0.000016      734 linear_order.le
0.000015      735 linear_order.lt
0.000016      736 linear_order.le_refl
0.000015      737 linear_order.le_trans
0.000015      738 linear_order.lt_iff_le_not_le
0.000017      739 linear_order.le_antisymm
0.000015      740 linear_order.to_partial_order
0.000016      741 linear_order.decidable_le
0.000015      742 has_le.le.decidable
0.000016      743 max
0.000015      744 max.equations._eqn_1
0.000015      745 decidable.true
0.000015      746 if_ctx_congr
0.000016      747 if_congr
0.000017      748 if_pos
0.000015      749 preorder.le_refl
0.000016      750 le_refl
0.000014      751 if_neg
0.000017      752 or.resolve_left
0.000014      753 linear_order.le_total
0.000014      754 le_total
0.000014      755 le_of_not_le
0.000017      756 le_max_left
0.000015      757 le_max_right
0.000016      758 max_le
0.000015      759 lattice_of_linear_order._proof_1
0.000016      760 min
0.000015      761 min.equations._eqn_1
0.000016      762 min_le_left
0.000015      763 min_le_right
0.000016      764 le_min
0.000015      765 lattice_of_linear_order._proof_2
0.000016      766 lattice_of_linear_order
0.000015      767 or.cases_on
0.000016      768 linear_order.to_directed_order._proof_1
0.000014      769 linear_order.to_directed_order
0.000016      770 linear_ordered_ring
0.000017      771 linear_ordered_ring.le
0.000015      772 linear_ordered_ring.lt
0.000016      773 linear_ordered_ring.le_refl
0.000015      774 linear_ordered_ring.le_trans
0.000016      775 linear_ordered_ring.lt_iff_le_not_le
0.000015      776 linear_ordered_ring.le_antisymm
0.000018      777 linear_ordered_ring.le_total
0.000015      778 linear_ordered_ring.decidable_le
0.000014      779 linear_ordered_ring.decidable_eq
0.000017      780 linear_ordered_ring.decidable_lt
0.000015      781 linear_ordered_ring.to_linear_order
0.000014      782 linear_ordered_comm_ring
0.000016      783 linear_ordered_comm_ring.add
0.000015      784 linear_ordered_comm_ring.add_assoc
0.000016      785 linear_ordered_comm_ring.zero
0.000015      786 linear_ordered_comm_ring.zero_add
0.000017      787 linear_ordered_comm_ring.add_zero
0.000015      788 linear_ordered_comm_ring.nsmul
0.000014      789 linear_ordered_comm_ring.nsmul_zero'
0.000016      790 linear_ordered_comm_ring.nsmul_succ'
0.000015      791 linear_ordered_comm_ring.neg
0.000016      792 linear_ordered_comm_ring.sub
0.000015      793 linear_ordered_comm_ring.sub_eq_add_neg
0.000015      794 linear_ordered_comm_ring.add_left_neg
0.000016      795 linear_ordered_comm_ring.add_comm
0.000015      796 linear_ordered_comm_ring.mul
0.000015      797 linear_ordered_comm_ring.mul_assoc
0.000015      798 linear_ordered_comm_ring.one
0.000015      799 linear_ordered_comm_ring.one_mul
0.000016      800 linear_ordered_comm_ring.mul_one
0.000016      801 linear_ordered_comm_ring.npow
0.000014      802 linear_ordered_comm_ring.npow_zero'
0.000016      803 linear_ordered_comm_ring.npow_succ'
0.000015      804 linear_ordered_comm_ring.left_distrib
0.000016      805 linear_ordered_comm_ring.right_distrib
0.000015      806 linear_ordered_comm_ring.le
0.000014      807 linear_ordered_comm_ring.lt
0.000017      808 linear_ordered_comm_ring.le_refl
0.000014      809 linear_ordered_comm_ring.le_trans
0.000017      810 linear_ordered_comm_ring.lt_iff_le_not_le
0.000015      811 linear_ordered_comm_ring.le_antisymm
0.000014      812 linear_ordered_comm_ring.add_le_add_left
0.000016      813 linear_ordered_comm_ring.zero_le_one
0.000016      814 linear_ordered_comm_ring.mul_pos
0.000014      815 linear_ordered_comm_ring.le_total
0.000016      816 linear_ordered_comm_ring.decidable_le
0.000015      817 linear_ordered_comm_ring.decidable_eq
0.000016      818 linear_ordered_comm_ring.decidable_lt
0.000015      819 linear_ordered_comm_ring.exists_pair_ne
0.000016      820 linear_ordered_comm_ring.to_linear_ordered_ring
0.947718      821 linear_ordered_field.add
0.000064      822 linear_ordered_field.add_assoc
0.000024      823 linear_ordered_field.zero
0.000015      824 linear_ordered_field.zero_add
0.000014      825 linear_ordered_field.add_zero
0.000014      826 linear_ordered_field.nsmul
0.000016      827 linear_ordered_field.nsmul_zero'
0.000014      828 linear_ordered_field.nsmul_succ'
0.000014      829 linear_ordered_field.neg
0.000014      830 linear_ordered_field.sub
0.000014      831 linear_ordered_field.sub_eq_add_neg
0.000014      832 linear_ordered_field.add_left_neg
0.000018      833 linear_ordered_field.add_comm
0.000017      834 linear_ordered_field.mul
0.000018      835 linear_ordered_field.mul_assoc
0.000015      836 linear_ordered_field.one
0.000017      837 linear_ordered_field.one_mul
0.000017      838 linear_ordered_field.mul_one
0.000015      839 linear_ordered_field.npow
0.000014      840 linear_ordered_field.npow_zero'
0.000014      841 linear_ordered_field.npow_succ'
0.000018      842 linear_ordered_field.left_distrib
0.000017      843 linear_ordered_field.right_distrib
0.000017      844 linear_ordered_field.le
0.000017      845 linear_ordered_field.lt
0.000017      846 linear_ordered_field.le_refl
0.000015      847 linear_ordered_field.le_trans
0.000016      848 linear_ordered_field.lt_iff_le_not_le
0.000017      849 linear_ordered_field.le_antisymm
0.000017      850 linear_ordered_field.add_le_add_left
0.000017      851 linear_ordered_field.zero_le_one
0.000015      852 linear_ordered_field.mul_pos
0.000017      853 linear_ordered_field.le_total
0.000017      854 linear_ordered_field.decidable_le
0.000016      855 linear_ordered_field.decidable_eq
0.000017      856 linear_ordered_field.decidable_lt
0.000017      857 linear_ordered_field.exists_pair_ne
0.000017      858 linear_ordered_field.mul_comm
0.000017      859 linear_ordered_field.to_linear_ordered_comm_ring
0.000015      860 division_ring
0.000016      861 division_ring.add
0.000016      862 division_ring.add_assoc
0.000016      863 division_ring.zero
0.000015      864 division_ring.zero_add
0.000016      865 division_ring.add_zero
0.000015      866 division_ring.nsmul
0.000016      867 division_ring.nsmul_zero'
0.000017      868 division_ring.nsmul_succ'
0.000015      869 division_ring.neg
0.000016      870 division_ring.sub
0.000017      871 division_ring.sub_eq_add_neg
0.000015      872 division_ring.add_left_neg
0.000016      873 division_ring.add_comm
0.000016      874 division_ring.mul
0.000014      875 division_ring.mul_assoc
0.000016      876 division_ring.one
0.000015      877 division_ring.one_mul
0.000016      878 division_ring.mul_one
0.000015      879 division_ring.npow
0.000015      880 division_ring.npow_zero'
0.000016      881 division_ring.npow_succ'
0.000015      882 division_ring.left_distrib
0.000015      883 division_ring.right_distrib
0.000016      884 division_ring.to_ring
0.000015      885 field
0.000014      886 field.add
0.000016      887 field.add_assoc
0.000015      888 field.to_division_ring._proof_1
0.000016      889 field.zero
0.000015      890 field.zero_add
0.000016      891 field.to_division_ring._proof_2
0.000015      892 field.add_zero
0.000017      893 field.to_division_ring._proof_3
0.000015      894 field.nsmul
0.000014      895 field.nsmul_zero'
0.000016      896 field.to_division_ring._proof_4
0.000015      897 field.nsmul_succ'
0.000015      898 field.to_division_ring._proof_5
0.000016      899 field.neg
0.000015      900 field.sub
0.000016      901 field.sub_eq_add_neg
0.000016      902 field.to_division_ring._proof_6
0.000014      903 field.add_left_neg
0.000016      904 field.to_division_ring._proof_7
0.000015      905 field.add_comm
0.000015      906 field.to_division_ring._proof_8
0.000016      907 field.mul
0.000015      908 field.mul_assoc
0.000015      909 field.to_division_ring._proof_9
0.000016      910 field.one
0.000015      911 field.one_mul
0.000016      912 field.to_division_ring._proof_10
0.000015      913 field.mul_one
0.000016      914 field.to_division_ring._proof_11
0.000015      915 field.npow
0.000017      916 field.npow_zero'
0.000015      917 field.to_division_ring._proof_12
0.000016      918 field.npow_succ'
0.000015      919 field.to_division_ring._proof_13
0.000016      920 field.left_distrib
0.000017      921 field.to_division_ring._proof_14
0.000016      922 field.right_distrib
0.000014      923 field.to_division_ring._proof_15
0.000017      924 field.inv
0.000015      925 field.div
0.000015      926 field.div_eq_mul_inv
0.000016      927 field.to_division_ring._proof_16
0.000015      928 field.exists_pair_ne
0.000016      929 field.to_division_ring._proof_17
0.000015      930 field.mul_comm
0.000015      931 field.mul_inv_cancel
0.000016      932 field.to_division_ring._proof_18
0.000015      933 field.inv_zero
0.000016      934 field.to_division_ring._proof_19
0.000015      935 field.to_division_ring
0.000014      936 linear_ordered_field.inv
0.000015      937 linear_ordered_field.div
0.000016      938 linear_ordered_field.div_eq_mul_inv
0.000015      939 linear_ordered_field.mul_inv_cancel
0.000017      940 linear_ordered_field.inv_zero
0.177392      941 linear_ordered_field.to_field
0.000067      942 is_absolute_value
0.000023      943 gt
0.000015      944 ge
0.000014      945 sub_neg_monoid.sub
0.000014      946 sub_neg_monoid.to_has_sub
0.000014      947 is_cau_seq
0.000014      948 cau_seq
0.000014      949 has_coe_to_fun
0.000014      950 has_coe_to_fun.F
0.000014      951 has_coe_to_fun.coe
0.000014      952 coe_fn
0.000014      953 cau_seq.has_coe_to_fun
0.000014      954 nat.le_trans
0.000014      955 nat.le_succ
0.000014      956 nat.le_of_succ_le
0.000018      957 nat.le_of_lt
0.000017      958 nat.not_succ_le_self
0.000017      959 nat.lt_irrefl
0.000017      960 nat.lt_of_le_of_lt
0.000017      961 or.resolve_right
0.000017      962 or.swap
0.000017      963 nat.less_than_or_equal.cases_on
0.000017      964 nat.eq_or_lt_of_le
0.000017      965 nat.lt_of_le_and_ne
0.000017      966 nat.lt_iff_le_not_le
0.000015      967 nat.le_antisymm
0.000014      968 or.imp_left
0.000016      969 or.dcases_on
0.000015      970 nat.le_succ_of_le
0.000017      971 nat.lt.base
0.000015      972 nat.lt_succ_self
0.000014      973 nat.lt_or_ge
0.000016      974 nat.le_total
0.000016      975 nat.decidable_eq._match_1
0.000014      976 nat.decidable_eq._main
0.000016      977 nat.decidable_eq
0.000015      978 nat.linear_order
0.000014      979 cau_seq.has_add._match_1
0.000016      980 cau_seq.has_add._match_2
0.000015      981 le_rfl
0.000015      982 exists_ge_of_linear
0.000016      983 preorder.le_trans
0.000014      984 le_trans
0.000017      985 exists_forall_ge_and
0.000015      986 exists.elim
0.000014      987 exists_imp_exists
0.000016      988 Exists.imp
0.000015      989 div_inv_monoid.div
0.000017      990 div_inv_monoid.to_has_div
0.000015      991 field.to_div_inv_monoid
0.000016      992 division_ring.inv
0.000015      993 division_ring.div
0.000016      994 division_ring.div_eq_mul_inv
0.000015      995 division_ring.to_div_inv_monoid
0.000017      996 div_inv_monoid.div_eq_mul_inv
0.000014      997 div_eq_mul_inv
0.000016      998 div_add_div_same
0.000015      999 semiring.add
0.000017     1000 semiring.left_distrib
0.000015     1001 semiring.right_distrib
0.000016     1002 semiring.to_distrib
0.000019     1003 two_mul
0.000015     1004 infer_instance
0.000017     1005 division_ring.to_group_with_zero._proof_1
0.000019     1006 division_ring.to_group_with_zero._proof_2
0.000015     1007 division_ring.exists_pair_ne
0.000016     1008 division_ring.inv_zero
0.000015     1009 division_ring.mul_inv_cancel
0.000016     1010 division_ring.to_group_with_zero
0.000016     1011 field.to_comm_group_with_zero._proof_1
0.000014     1012 field.to_comm_group_with_zero._proof_2
0.000016     1013 field.to_comm_group_with_zero._proof_3
0.000015     1014 field.to_comm_group_with_zero._proof_4
0.000017     1015 field.to_comm_group_with_zero._proof_5
0.000015     1016 field.to_comm_group_with_zero._proof_6
0.000014     1017 field.to_comm_group_with_zero._proof_7
0.000016     1018 field.to_comm_group_with_zero._proof_8
0.000015     1019 field.to_comm_group_with_zero._proof_9
0.000016     1020 field.to_comm_group_with_zero._proof_10
0.000015     1021 field.to_comm_group_with_zero._proof_11
0.000016     1022 field.to_comm_group_with_zero
0.000015     1023 add_right_cancel_monoid
0.000016     1024 add_right_cancel_monoid.add
0.000015     1025 add_right_cancel_monoid.add_assoc
0.000016     1026 add_right_cancel_monoid.zero
0.000015     1027 add_right_cancel_monoid.zero_add
0.000016     1028 add_right_cancel_monoid.add_zero
0.000015     1029 add_right_cancel_monoid.nsmul
0.000017     1030 add_right_cancel_monoid.nsmul_zero'
0.000014     1031 add_right_cancel_monoid.nsmul_succ'
0.000016     1032 add_right_cancel_monoid.to_add_monoid
0.000017     1033 add_cancel_monoid.add_right_cancel
0.000015     1034 add_cancel_monoid.zero
0.000016     1035 add_cancel_monoid.zero_add
0.000015     1036 add_cancel_monoid.add_zero
0.000015     1037 add_cancel_monoid.nsmul
0.000017     1038 add_cancel_monoid.nsmul_zero'
0.000015     1039 add_cancel_monoid.nsmul_succ'
0.000016     1040 add_cancel_monoid.to_add_right_cancel_monoid
0.000015     1041 add_comm_semigroup
0.000016     1042 add_comm_semigroup.add
0.000015     1043 add_comm_semigroup.add_assoc
0.000016     1044 add_comm_semigroup.to_add_semigroup
0.000015     1045 add_comm_monoid
0.000016     1046 add_comm_monoid.add
0.000015     1047 add_comm_monoid.add_assoc
0.000017     1048 add_comm_monoid.add_comm
0.000014     1049 add_comm_monoid.to_add_comm_semigroup
0.000015     1050 add_cancel_comm_monoid.add_comm
0.000016     1051 add_cancel_comm_monoid.to_add_comm_monoid
0.000015     1052 add_comm_semigroup.add_comm
0.000016     1053 add_comm
0.000014     1054 add_cancel_comm_monoid.to_cancel_add_monoid._proof_1
0.000017     1055 add_cancel_comm_monoid.to_cancel_add_monoid
0.000014     1056 ordered_cancel_add_comm_monoid
0.000017     1057 ordered_cancel_add_comm_monoid.le
0.000015     1058 ordered_cancel_add_comm_monoid.lt
0.000016     1059 ordered_cancel_add_comm_monoid.le_refl
0.000017     1060 ordered_cancel_add_comm_monoid.le_trans
0.000015     1061 ordered_cancel_add_comm_monoid.lt_iff_le_not_le
0.454092     1062 ordered_cancel_add_comm_monoid.le_antisymm
0.000060     1063 ordered_cancel_add_comm_monoid.to_partial_order
0.000024     1064 ordered_semiring
0.000014     1065 ordered_semiring.add
0.000015     1066 ordered_semiring.add_assoc
0.000014     1067 ordered_semiring.zero
0.000014     1068 ordered_semiring.zero_add
0.000014     1069 ordered_semiring.add_zero
0.000014     1070 ordered_semiring.nsmul
0.000015     1071 ordered_semiring.nsmul_zero'
0.000014     1072 ordered_semiring.nsmul_succ'
0.000014     1073 ordered_semiring.add_comm
0.000014     1074 ordered_semiring.mul
0.000014     1075 ordered_semiring.mul_assoc
0.000019     1076 ordered_semiring.one
0.000017     1077 ordered_semiring.one_mul
0.000017     1078 ordered_semiring.mul_one
0.000016     1079 ordered_semiring.npow
0.000015     1080 ordered_semiring.npow_zero'
0.000016     1081 ordered_semiring.npow_succ'
0.000017     1082 ordered_semiring.zero_mul
0.000015     1083 ordered_semiring.mul_zero
0.000017     1084 ordered_semiring.left_distrib
0.000018     1085 ordered_semiring.right_distrib
0.000017     1086 ordered_semiring.to_semiring
0.000017     1087 ordered_ring
0.000019     1088 ordered_ring.add
0.000014     1089 ordered_ring.add_assoc
0.000016     1090 ordered_ring.zero
0.000016     1091 ordered_ring.zero_add
0.000015     1092 ordered_ring.add_zero
0.000015     1093 ordered_ring.nsmul
0.000016     1094 ordered_ring.nsmul_zero'
0.000015     1095 ordered_ring.nsmul_succ'
0.000016     1096 ordered_ring.add_comm
0.000015     1097 ordered_ring.mul
0.000014     1098 ordered_ring.mul_assoc
0.000018     1099 ordered_ring.one
0.000014     1100 ordered_ring.one_mul
0.000016     1101 ordered_ring.mul_one
0.000015     1102 ordered_ring.npow
0.000016     1103 ordered_ring.npow_zero'
0.000015     1104 ordered_ring.npow_succ'
0.000016     1105 ordered_ring.neg
0.000015     1106 ordered_ring.sub
0.000015     1107 ordered_ring.sub_eq_add_neg
0.000016     1108 ordered_ring.add_left_neg
0.000015     1109 ordered_ring.left_distrib
0.000014     1110 ordered_ring.right_distrib
0.000016     1111 ordered_ring.to_ring
0.000016     1112 ordered_ring.to_ordered_semiring._proof_1
0.000014     1113 ordered_ring.to_ordered_semiring._proof_2
0.000016     1114 ordered_cancel_add_comm_monoid.add
0.000015     1115 ordered_cancel_add_comm_monoid.add_assoc
0.000015     1116 ordered_cancel_add_comm_monoid.add_left_cancel
0.000016     1117 ordered_cancel_add_comm_monoid.zero
0.000015     1118 ordered_cancel_add_comm_monoid.zero_add
0.000016     1119 ordered_cancel_add_comm_monoid.add_zero
0.000015     1120 ordered_cancel_add_comm_monoid.nsmul
0.000016     1121 ordered_cancel_add_comm_monoid.nsmul_zero'
0.000015     1122 ordered_cancel_add_comm_monoid.nsmul_succ'
0.000016     1123 ordered_cancel_add_comm_monoid.add_comm
0.000015     1124 ordered_cancel_add_comm_monoid.to_add_cancel_comm_monoid
0.000014     1125 ordered_add_comm_group.add
0.000016     1126 ordered_add_comm_group.add_assoc
0.000017     1127 ordered_add_comm_group.zero
0.000015     1128 ordered_add_comm_group.zero_add
0.000016     1129 ordered_add_comm_group.add_zero
0.000015     1130 ordered_add_comm_group.nsmul
0.000016     1131 ordered_add_comm_group.nsmul_zero'
0.000015     1132 ordered_add_comm_group.nsmul_succ'
0.000016     1133 ordered_add_comm_group.neg
0.000015     1134 ordered_add_comm_group.sub
0.000016     1135 ordered_add_comm_group.sub_eq_add_neg
0.000015     1136 ordered_add_comm_group.add_left_neg
0.000015     1137 ordered_add_comm_group.add_comm
0.000016     1138 ordered_add_comm_group.to_add_comm_group
0.000015     1139 ordered_add_comm_group.to_ordered_cancel_add_comm_monoid._proof_1
0.000016     1140 ordered_add_comm_group.add_le_add_left
0.000015     1141 ordered_add_comm_group.le_of_add_le_add_left
0.000015     1142 ordered_add_comm_group.to_ordered_cancel_add_comm_monoid
0.000016     1143 ordered_ring.le
0.000015     1144 ordered_ring.lt
0.000014     1145 ordered_ring.le_refl
0.000017     1146 ordered_ring.le_trans
0.000014     1147 ordered_ring.lt_iff_le_not_le
0.000017     1148 ordered_ring.le_antisymm
0.000014     1149 ordered_ring.add_le_add_left
0.000016     1150 ordered_ring.to_ordered_add_comm_group
0.000016     1151 ordered_ring.to_ordered_semiring._proof_3
0.000016     1152 ordered_cancel_add_comm_monoid.le_of_add_le_add_left
0.000015     1153 le_of_add_le_add_left
0.000016     1154 ordered_ring.to_ordered_semiring._proof_4
0.000015     1155 ordered_ring.zero_le_one
0.000016     1156 sub_neg_monoid.sub_eq_add_neg
0.000015     1157 sub_eq_add_neg
0.000014     1158 sub_self
0.000016     1159 add_comm_monoid.zero
0.000015     1160 add_comm_monoid.zero_add
0.000017     1161 add_comm_monoid.add_zero
0.000015     1162 add_comm_monoid.nsmul
0.000014     1163 add_comm_monoid.nsmul_zero'
0.000016     1164 add_comm_monoid.nsmul_succ'
0.000016     1165 add_comm_monoid.to_add_monoid
0.000014     1166 ordered_add_comm_monoid
0.000016     1167 ordered_add_comm_monoid.le
0.000015     1168 ordered_add_comm_monoid.lt
0.998253     1169 ordered_add_comm_monoid.le_refl
0.000061     1170 ordered_add_comm_monoid.le_trans
0.000025     1171 ordered_add_comm_monoid.lt_iff_le_not_le
0.000014     1172 ordered_add_comm_monoid.le_antisymm
0.000014     1173 ordered_add_comm_monoid.to_partial_order
0.000014     1174 ordered_add_comm_monoid.add
0.000014     1175 ordered_add_comm_monoid.add_assoc
0.000014     1176 ordered_add_comm_monoid.zero
0.000015     1177 ordered_add_comm_monoid.zero_add
0.000014     1178 ordered_add_comm_monoid.add_zero
0.000014     1179 ordered_add_comm_monoid.nsmul
0.000014     1180 ordered_add_comm_monoid.nsmul_zero'
0.000013     1181 ordered_add_comm_monoid.nsmul_succ'
0.000015     1182 ordered_add_comm_monoid.add_comm
0.000014     1183 ordered_add_comm_monoid.to_add_comm_monoid
0.000017     1184 ordered_add_comm_monoid.lt_of_add_lt_add_left
0.000017     1185 lt_of_add_lt_add_left
0.000018     1186 ordered_cancel_add_comm_monoid.add_le_add_left
0.000015     1187 preorder.lt_iff_le_not_le
0.000017     1188 lt_iff_le_not_le
0.000017     1189 lt_of_le_not_le
0.000017     1190 le_not_le_of_lt
0.000017     1191 le_of_lt
0.000017     1192 has_lt.lt.le
0.000015     1193 not_le_of_gt
0.000015     1194 ordered_cancel_add_comm_monoid.to_ordered_add_comm_monoid._proof_1
0.000015     1195 ordered_cancel_add_comm_monoid.to_ordered_add_comm_monoid
0.000018     1196 ordered_add_comm_monoid.add_le_add_left
0.000017     1197 add_le_add_left
0.000018     1198 add_lt_add_left
0.000018     1199 add_lt_add_iff_left
0.000015     1200 neg_lt_neg_iff
0.000017     1201 sub_lt_sub_iff_left
0.000017     1202 sub_pos
0.000016     1203 neg_mul_eq_mul_neg
0.000015     1204 mul_sub_left_distrib
0.000017     1205 mul_sub
0.000017     1206 ordered_ring.mul_pos
0.000015     1207 ordered_ring.mul_lt_mul_of_pos_left
0.000015     1208 neg_mul_eq_neg_mul
0.000016     1209 mul_sub_right_distrib
0.000015     1210 sub_mul
0.000014     1211 ordered_ring.mul_lt_mul_of_pos_right
0.000014     1212 ordered_ring.to_ordered_semiring
0.000016     1213 linear_ordered_ring.add
0.000015     1214 linear_ordered_ring.add_assoc
0.000016     1215 linear_ordered_ring.zero
0.000015     1216 linear_ordered_ring.zero_add
0.000016     1217 linear_ordered_ring.add_zero
0.000015     1218 linear_ordered_ring.nsmul
0.000014     1219 linear_ordered_ring.nsmul_zero'
0.000016     1220 linear_ordered_ring.nsmul_succ'
0.000015     1221 linear_ordered_ring.neg
0.000015     1222 linear_ordered_ring.sub
0.000016     1223 linear_ordered_ring.sub_eq_add_neg
0.000015     1224 linear_ordered_ring.add_left_neg
0.000014     1225 linear_ordered_ring.add_comm
0.000016     1226 linear_ordered_ring.mul
0.000015     1227 linear_ordered_ring.mul_assoc
0.000016     1228 linear_ordered_ring.one
0.000015     1229 linear_ordered_ring.one_mul
0.000015     1230 linear_ordered_ring.mul_one
0.000016     1231 linear_ordered_ring.npow
0.000015     1232 linear_ordered_ring.npow_zero'
0.000014     1233 linear_ordered_ring.npow_succ'
0.000016     1234 linear_ordered_ring.left_distrib
0.000016     1235 linear_ordered_ring.right_distrib
0.000014     1236 linear_ordered_ring.add_le_add_left
0.000016     1237 linear_ordered_ring.zero_le_one
0.000015     1238 linear_ordered_ring.mul_pos
0.000016     1239 linear_ordered_ring.to_ordered_ring
0.000015     1240 decidable.by_cases
0.000016     1241 classical.by_cases
0.000015     1242 div_zero
0.000016     1243 mul_div_cancel
0.000016     1244 mul_div_cancel_of_imp
0.000014     1245 mul_div_cancel_left_of_imp
0.000016     1246 mul_div_cancel_left
0.000015     1247 lt_irrefl
0.000016     1248 ne_of_lt
0.000015     1249 ordered_semiring.add_left_cancel
0.000016     1250 ordered_semiring.le
0.000015     1251 ordered_semiring.lt
0.000017     1252 ordered_semiring.le_refl
0.000015     1253 ordered_semiring.le_trans
0.000014     1254 ordered_semiring.lt_iff_le_not_le
0.000016     1255 ordered_semiring.le_antisymm
0.000016     1256 ordered_semiring.add_le_add_left
0.000014     1257 ordered_semiring.le_of_add_le_add_left
0.000016     1258 ordered_semiring.to_ordered_cancel_add_comm_monoid
0.000016     1259 lt_of_lt_of_le
0.000014     1260 le_add_of_nonneg_right
0.000016     1261 add_pos_of_pos_of_nonneg
0.000015     1262 add_pos
0.000014     1263 partial_order.le_antisymm
0.000016     1264 le_antisymm
0.000016     1265 lt_of_le_of_ne
0.000014     1266 ordered_semiring.zero_le_one
0.000016     1267 zero_le_one
0.000016     1268 zero_lt_one
0.000016     1269 zero_lt_two
0.000015     1270 two_ne_zero
0.000016     1271 field.to_nontrivial
0.000014     1272 add_halves
0.000017     1273 lt_of_le_of_lt
0.000015     1274 is_absolute_value.abv_add
0.000015     1275 is_absolute_value.abv_sub_le
0.000015     1276 lt_trans
0.000015     1277 add_lt_add_right
0.000017     1278 add_lt_add
0.000014     1279 neg_sub
0.000016     1280 domain
0.000016     1281 domain.add
0.000014     1282 domain.add_assoc
0.000016     1283 domain.zero
0.000016     1284 domain.zero_add
0.000015     1285 domain.add_zero
0.000016     1286 domain.nsmul
0.000014     1287 domain.nsmul_zero'
0.000016     1288 domain.nsmul_succ'
0.000015     1289 domain.neg
0.000016     1290 domain.sub
0.000015     1291 domain.sub_eq_add_neg
0.888419     1292 domain.add_left_neg
0.000074     1293 domain.add_comm
0.000023     1294 domain.mul
0.000015     1295 domain.mul_assoc
0.000015     1296 domain.one
0.000014     1297 domain.one_mul
0.000014     1298 domain.mul_one
0.000014     1299 domain.npow
0.000014     1300 domain.npow_zero'
0.000014     1301 domain.npow_succ'
0.000014     1302 domain.left_distrib
0.000014     1303 domain.right_distrib
0.000014     1304 domain.to_ring
0.000014     1305 integral_domain
0.000014     1306 integral_domain.add
0.000015     1307 integral_domain.add_assoc
0.000014     1308 integral_domain.zero
0.000019     1309 integral_domain.zero_add
0.000017     1310 integral_domain.add_zero
0.000017     1311 integral_domain.nsmul
0.000017     1312 integral_domain.nsmul_zero'
0.000015     1313 integral_domain.nsmul_succ'
0.000014     1314 integral_domain.neg
0.000014     1315 integral_domain.sub
0.000017     1316 integral_domain.sub_eq_add_neg
0.000016     1317 integral_domain.add_left_neg
0.000018     1318 integral_domain.add_comm
0.000015     1319 integral_domain.mul
0.000017     1320 integral_domain.mul_assoc
0.000017     1321 integral_domain.one
0.000015     1322 integral_domain.one_mul
0.000016     1323 integral_domain.mul_one
0.000017     1324 integral_domain.npow
0.000015     1325 integral_domain.npow_zero'
0.000017     1326 integral_domain.npow_succ'
0.000015     1327 integral_domain.left_distrib
0.000016     1328 integral_domain.right_distrib
0.000015     1329 integral_domain.exists_pair_ne
0.000014     1330 integral_domain.eq_zero_or_eq_zero_of_mul_eq_zero
0.000017     1331 integral_domain.to_domain
0.000015     1332 division_ring.to_domain._proof_1
0.000014     1333 division_ring.to_domain
0.000016     1334 domain.eq_zero_or_eq_zero_of_mul_eq_zero
0.000015     1335 field.to_integral_domain._proof_1
0.000016     1336 field.to_integral_domain
0.000015     1337 neg_add_cancel_right
0.000016     1338 sub_add_cancel
0.000023     1339 eq_of_sub_eq_zero
0.000017     1340 sub_eq_zero
0.000014     1341 integral_domain.mul_comm
0.000014     1342 integral_domain.to_comm_ring
0.000014     1343 comm_ring.mul_comm
0.000014     1344 comm_ring.to_comm_monoid
0.000017     1345 add_sub_assoc
0.000029     1346 sub_add_sub_cancel
0.000022     1347 mul_self_sub_mul_self
0.000016     1348 domain.to_no_zero_divisors
0.000014     1349 or.comm
0.000015     1350 or_comm
0.000016     1351 eq_neg_of_add_eq_zero
0.000016     1352 add_eq_zero_iff_eq_neg
0.000014     1353 mul_self_eq_mul_self_iff
0.000016     1354 or_iff_left_of_imp
0.000016     1355 neg_zero
0.000014     1356 add_le_add_iff_left
0.000016     1357 neg_le_neg_iff
0.000016     1358 neg_nonneg
0.000014     1359 linear_ordered_add_comm_group
0.000016     1360 linear_ordered_add_comm_group.add
0.000016     1361 linear_ordered_add_comm_group.add_assoc
0.000014     1362 linear_ordered_add_comm_group.zero
0.000016     1363 linear_ordered_add_comm_group.zero_add
0.000016     1364 linear_ordered_add_comm_group.add_zero
0.000014     1365 linear_ordered_add_comm_group.nsmul
0.000016     1366 linear_ordered_add_comm_group.nsmul_zero'
0.000015     1367 linear_ordered_add_comm_group.nsmul_succ'
0.000016     1368 linear_ordered_add_comm_group.neg
0.000015     1369 linear_ordered_add_comm_group.sub
0.000017     1370 linear_ordered_add_comm_group.sub_eq_add_neg
0.000015     1371 linear_ordered_add_comm_group.add_left_neg
0.000016     1372 linear_ordered_add_comm_group.add_comm
0.000015     1373 linear_ordered_add_comm_group.to_add_comm_group
0.000015     1374 linear_ordered_ring.to_linear_ordered_add_comm_group
0.000016     1375 mul_self_inj_of_nonneg
0.000015     1376 is_absolute_value.abv_nonneg
0.000015     1377 is_absolute_value.abv_mul
0.000016     1378 mul_neg_eq_neg_mul_symm
0.000015     1379 neg_mul_eq_neg_mul_symm
0.000016     1380 is_absolute_value.abv_neg
0.000015     1381 is_absolute_value.abv_sub
0.000016     1382 division_def
0.000015     1383 linear_ordered_semiring
0.000014     1384 linear_ordered_semiring.add
0.000017     1385 linear_ordered_semiring.add_assoc
0.000015     1386 linear_ordered_semiring.zero
0.000016     1387 linear_ordered_semiring.zero_add
0.000015     1388 linear_ordered_semiring.add_zero
0.000014     1389 linear_ordered_semiring.nsmul
0.000017     1390 linear_ordered_semiring.nsmul_zero'
0.000014     1391 linear_ordered_semiring.nsmul_succ'
0.000016     1392 linear_ordered_semiring.add_comm
0.000016     1393 linear_ordered_semiring.mul
0.000014     1394 linear_ordered_semiring.mul_assoc
0.000017     1395 linear_ordered_semiring.one
0.000015     1396 linear_ordered_semiring.one_mul
0.000016     1397 linear_ordered_semiring.mul_one
0.000015     1398 linear_ordered_semiring.npow
0.000014     1399 linear_ordered_semiring.npow_zero'
0.000016     1400 linear_ordered_semiring.npow_succ'
0.000015     1401 linear_ordered_semiring.zero_mul
0.000015     1402 linear_ordered_semiring.mul_zero
0.000014     1403 linear_ordered_semiring.left_distrib
0.000016     1404 linear_ordered_semiring.right_distrib
0.000016     1405 linear_ordered_semiring.add_left_cancel
0.000016     1406 linear_ordered_semiring.le
1.508294     1407 linear_ordered_semiring.lt
0.000074     1408 linear_ordered_semiring.le_refl
0.000026     1409 linear_ordered_semiring.le_trans
0.000014     1410 linear_ordered_semiring.lt_iff_le_not_le
0.000015     1411 linear_ordered_semiring.le_antisymm
0.000014     1412 linear_ordered_semiring.add_le_add_left
0.000014     1413 linear_ordered_semiring.le_of_add_le_add_left
0.000014     1414 linear_ordered_semiring.zero_le_one
0.000014     1415 linear_ordered_semiring.mul_lt_mul_of_pos_left
0.000014     1416 linear_ordered_semiring.mul_lt_mul_of_pos_right
0.000015     1417 linear_ordered_semiring.to_ordered_semiring
0.000014     1418 linear_ordered_semiring.le_total
0.000014     1419 linear_ordered_semiring.decidable_le
0.000015     1420 linear_ordered_semiring.decidable_eq
0.000014     1421 linear_ordered_semiring.decidable_lt
0.000014     1422 linear_ordered_semiring.to_linear_order
0.000014     1423 lt_or_eq_of_le
0.000015     1424 lt_trichotomy
0.000014     1425 le_of_not_gt
0.000014     1426 not_lt_of_ge
0.000018     1427 not_lt
0.000015     1428 push_neg.not_lt_eq
0.000017     1429 has_le.le.antisymm
0.000016     1430 ordered_semiring.mul_lt_mul_of_pos_left
0.000017     1431 mul_lt_mul_of_pos_left
0.000015     1432 has_le.le.lt_of_not_le
0.000017     1433 mul_le_mul_of_nonneg_left
0.000015     1434 mul_nonpos_of_nonneg_of_nonpos
0.000017     1435 has_lt.lt.false
0.000015     1436 ordered_semiring.mul_lt_mul_of_pos_right
0.000014     1437 mul_lt_mul_of_pos_right
0.000016     1438 mul_le_mul_of_nonneg_right
0.000018     1439 mul_nonpos_of_nonpos_of_nonneg
0.000015     1440 pos_and_pos_or_neg_and_neg_of_mul_pos
0.000014     1441 linear_ordered_ring.to_linear_ordered_semiring._proof_1
0.000014     1442 linear_ordered_ring.to_linear_ordered_semiring._proof_2
0.000017     1443 linear_ordered_ring.to_linear_ordered_semiring._proof_3
0.000015     1444 linear_ordered_ring.to_linear_ordered_semiring._proof_4
0.000016     1445 linear_ordered_ring.to_linear_ordered_semiring._proof_5
0.000015     1446 linear_ordered_ring.to_linear_ordered_semiring._proof_6
0.000016     1447 linear_ordered_ring.exists_pair_ne
0.000015     1448 linear_ordered_ring.to_linear_ordered_semiring
0.000015     1449 and_imp
0.000013     1450 mul_pos
0.000015     1451 neg_lt_neg
0.000014     1452 lt_of_neg_lt_neg
0.000016     1453 neg_pos_of_neg
0.000015     1454 mul_lt_mul_of_neg_right
0.000016     1455 mul_pos_of_neg_of_neg
0.000015     1456 mul_pos_iff
0.000015     1457 flip
0.000015     1458 linear_ordered_comm_ring.to_linear_ordered_semiring
0.000018     1459 lt_of_not_ge
0.000015     1460 not_le_of_lt
0.000014     1461 has_lt.lt.not_le
0.000014     1462 not_lt_of_le
0.000016     1463 has_le.le.not_lt
0.000015     1464 lt_of_mul_lt_mul_left
0.000016     1465 ne_of_gt
0.000015     1466 inv_pos
0.000016     1467 iff.symm
0.000015     1468 lt_iff_not_ge
0.000014     1469 not_le
0.000013     1470 le_of_lt_or_eq
0.000015     1471 le_iff_lt_or_eq
0.000013     1472 le_iff_eq_or_lt
0.000017     1473 zero_eq_inv
0.000014     1474 inv_nonneg
0.000017     1475 inv_lt_zero
0.000015     1476 div_pos_iff
0.000016     1477 div_pos
0.000015     1478 half_pos
0.000017     1479 is_cau_seq.cauchy₂
0.000015     1480 is_cau_seq.cauchy₃
0.000017     1481 cau_seq.cauchy₃
0.000015     1482 cau_seq.has_add._match_3
0.000017     1483 add_comm_group.to_add_comm_monoid
0.000015     1484 add_neg_cancel_left
0.000017     1485 neg_add_rev
0.000015     1486 commutative
0.000016     1487 associative
0.000015     1488 left_commutative
0.000016     1489 left_comm
0.000015     1490 add_left_comm
0.000016     1491 rat_add_continuous_lemma
0.000015     1492 cau_seq.has_add._proof_1
0.000018     1493 option
0.000017     1494 with_top
0.000015     1495 cau_seq.lim_zero
0.000014     1496 cau_seq.cauchy
0.000014     1497 cau_seq.of_eq._proof_1
0.000014     1498 cau_seq.of_eq
0.000015     1499 cau_seq.has_add
0.000014     1500 cau_seq.has_mul._match_1
0.000014     1501 cau_seq.has_mul._match_2
0.000015     1502 cau_seq.has_mul._match_3
0.000016     1503 list.perm
0.000015     1504 list.perm.refl
0.000016     1505 list.perm.rec_on
0.000015     1506 list.perm.symm
0.000016     1507 list.perm.eqv
0.000015     1508 list.is_setoid
0.000016     1509 multiset
0.000014     1510 out_param
0.000016     1511 has_mem
0.000015     1512 has_mem.mem
0.000016     1513 list.mem._main
0.000015     1514 list.mem
0.000017     1515 list.has_mem
0.000017     1516 list.pairwise
0.000014     1517 list.nodup
0.000017     1518 list.pairwise.drec
0.000014     1519 list.length._main
0.000017     1520 list.length
0.000015     1521 list.eq_nil_of_length_eq_zero
0.000014     1522 id_delta
0.000017     1523 list.length._main.equations._eqn_2
0.000015     1524 list.length.equations._eqn_2
0.000014     1525 add_right_cancel_semigroup
0.000016     1526 add_right_cancel_semigroup.add
0.000015     1527 add_right_cancel_semigroup.add_assoc
0.000016     1528 add_right_cancel_semigroup.to_add_semigroup
0.000015     1529 add_right_cancel_monoid.add_right_cancel
0.000015     1530 add_right_cancel_monoid.to_add_right_cancel_semigroup
0.000016     1531 comm_semiring
0.000015     1532 comm_semiring.add
0.000015     1533 nat.add_succ
0.000016     1534 nat.add_assoc
0.125048     1535 nat.zero_add
0.000058     1536 nat.add_zero
0.000025     1537 nat.mul._main
0.000015     1538 nat.mul
0.000014     1539 nat.has_mul
0.000014     1540 nat.mul_succ
0.000014     1541 nat.zero_mul
0.000014     1542 nat.succ_eq_add_one
0.000014     1543 nat.add_comm
0.000014     1544 nat.succ_eq_one_add
0.000014     1545 nat.add_left_comm
0.000014     1546 nat.right_distrib
0.000019     1547 nat.mul_zero
0.000017     1548 nat.succ.inj
0.000017     1549 nat.succ.inj_eq
0.000017     1550 nat.succ_mul
0.000017     1551 nat.mul_comm
0.000017     1552 nat.mul_one
0.000017     1553 nat.one_mul
0.000017     1554 nat.comm_semiring._proof_1
0.000016     1555 nat.left_distrib
0.000016     1556 nat.mul_assoc
0.000014     1557 monoid_with_zero.npow._default
0.000017     1558 semiring.npow._default
0.000015     1559 nat.comm_semiring._proof_2
0.000015     1560 nat.comm_semiring._proof_3
0.000016     1561 nat.comm_semiring
0.000015     1562 comm_semiring.add_assoc
0.000017     1563 comm_semiring.zero
0.000015     1564 comm_semiring.zero_add
0.000015     1565 comm_semiring.add_zero
0.000016     1566 comm_semiring.nsmul
0.000015     1567 comm_semiring.nsmul_zero'
0.000016     1568 comm_semiring.nsmul_succ'
0.000015     1569 comm_semiring.add_comm
0.000016     1570 comm_semiring.mul
0.000015     1571 comm_semiring.mul_assoc
0.000016     1572 comm_semiring.one
0.000015     1573 comm_semiring.one_mul
0.000016     1574 comm_semiring.mul_one
0.000015     1575 comm_semiring.npow
0.000016     1576 comm_semiring.npow_zero'
0.000015     1577 comm_semiring.npow_succ'
0.000015     1578 comm_semiring.zero_mul
0.000016     1579 comm_semiring.mul_zero
0.000015     1580 comm_semiring.left_distrib
0.000015     1581 comm_semiring.right_distrib
0.000016     1582 imp_congr_ctx
0.000015     1583 imp_congr_ctx_eq
0.000016     1584 implies_true_iff
0.000016     1585 nat.add_left_cancel
0.000014     1586 nat.le_add_right
0.000016     1587 nat.le.intro
0.000015     1588 nat.le.dest
0.000016     1589 nat.add_le_add_left
0.000015     1590 nat.le_of_add_le_add_left
0.000017     1591 nat.linear_ordered_semiring._proof_1
0.000015     1592 nat.lt_of_lt_of_le
0.000014     1593 nat.lt_of_succ_le
0.000017     1594 nat.succ_le_of_lt
0.000015     1595 nat.add_lt_add_left
0.000016     1596 nat.lt_add_of_pos_right
0.000016     1597 nat.mul_le_mul_left
0.000014     1598 nat.mul_lt_mul_of_pos_left
0.000016     1599 nat.mul_lt_mul_of_pos_right
0.000015     1600 linear_order.decidable_lt
0.000015     1601 has_bot
0.000016     1602 has_bot.bot
0.000015     1603 order_bot
0.000014     1604 order_bot.le
0.000017     1605 order_bot.lt
0.000015     1606 order_bot.le_refl
0.000014     1607 order_bot.le_trans
0.000016     1608 order_bot.lt_iff_le_not_le
0.000015     1609 order_bot.le_antisymm
0.000016     1610 order_bot.to_partial_order
0.000017     1611 semilattice_sup_bot
0.000015     1612 semilattice_sup_bot.bot
0.000016     1613 semilattice_sup_bot.le
0.000015     1614 semilattice_sup_bot.lt
0.000016     1615 semilattice_sup_bot.le_refl
0.000015     1616 semilattice_sup_bot.le_trans
0.000016     1617 semilattice_sup_bot.lt_iff_le_not_le
0.000015     1618 semilattice_sup_bot.le_antisymm
0.000017     1619 semilattice_sup_bot.bot_le
0.000015     1620 semilattice_sup_bot.to_order_bot
0.000014     1621 semilattice_inf.inf
0.000016     1622 semilattice_inf.to_has_inf
0.000016     1623 semilattice_sup
0.000014     1624 semilattice_sup.sup
0.000016     1625 semilattice_sup.to_has_sup
0.000015     1626 lattice.sup
0.000016     1627 lattice.le_sup_left
0.000016     1628 lattice.le_sup_right
0.000014     1629 lattice.sup_le
0.000016     1630 lattice.to_semilattice_sup
0.000015     1631 distrib_lattice
0.000016     1632 distrib_lattice.le
0.000015     1633 distrib_lattice_of_linear_order._proof_1
0.000016     1634 distrib_lattice_of_linear_order._proof_2
0.000016     1635 distrib_lattice_of_linear_order._proof_3
0.000014     1636 distrib_lattice_of_linear_order._proof_4
0.000016     1637 distrib_lattice_of_linear_order._proof_5
0.000015     1638 distrib_lattice_of_linear_order._proof_6
0.000016     1639 distrib_lattice_of_linear_order._proof_7
0.000016     1640 distrib_lattice_of_linear_order._proof_8
0.000014     1641 distrib_lattice_of_linear_order._proof_9
0.000016     1642 distrib_lattice_of_linear_order._proof_10
0.000015     1643 semilattice_inf.inf_le_left
0.000016     1644 inf_le_left
0.000015     1645 inf_le_left_of_le
0.000016     1646 semilattice_sup.le
0.000016     1647 semilattice_sup.lt
0.000014     1648 semilattice_sup.le_refl
0.000016     1649 semilattice_sup.le_trans
0.000015     1650 semilattice_sup.lt_iff_le_not_le
0.000016     1651 semilattice_sup.le_antisymm
0.000016     1652 semilattice_sup.to_partial_order
0.000014     1653 semilattice_sup.sup_le
0.000016     1654 sup_le
0.000015     1655 semilattice_sup.le_sup_left
0.000016     1656 le_sup_left
0.000015     1657 le_sup_left_of_le
0.000016     1658 semilattice_sup.le_sup_right
0.000014     1659 le_sup_right
0.000017     1660 le_sup_right_of_le
0.000015     1661 sup_le_sup
0.000016     1662 sup_le_sup_left
0.000014     1663 semilattice_inf.le_inf
0.000016     1664 le_inf
0.000015     1665 semilattice_inf.inf_le_right
0.000016     1666 inf_le_right
0.000015     1667 inf_le_right_of_le
0.133675     1668 distrib_lattice_of_linear_order._match_1
0.000068     1669 distrib_lattice_of_linear_order._proof_11
0.000026     1670 distrib_lattice_of_linear_order
0.000020     1671 nat.distrib_lattice
0.000014     1672 distrib_lattice.lt
0.000014     1673 distrib_lattice.le_refl
0.000014     1674 distrib_lattice.le_trans
0.000014     1675 distrib_lattice.lt_iff_le_not_le
0.000014     1676 distrib_lattice.le_antisymm
0.000014     1677 distrib_lattice.sup
0.000014     1678 distrib_lattice.le_sup_left
0.000014     1679 distrib_lattice.le_sup_right
0.000014     1680 distrib_lattice.sup_le
0.000019     1681 nat.semilattice_sup_bot
0.000017     1682 nat.zero_lt_one
0.000017     1683 nat.linear_ordered_semiring._proof_2
0.000018     1684 nat.linear_ordered_semiring
0.000015     1685 nat.ordered_semiring
0.000016     1686 add_right_cancel_semigroup.add_right_cancel
0.000017     1687 add_right_cancel
0.000014     1688 add_left_injective
0.000017     1689 add_left_inj
0.000017     1690 list.perm.length_eq
0.000017     1691 list.perm.eq_nil
0.000018     1692 list.perm.nil_eq
0.000014     1693 false.dcases_on
0.000016     1694 list.mem_split
0.000017     1695 has_subset
0.000015     1696 has_subset.subset
0.000016     1697 list.subset
0.000015     1698 list.has_subset
0.000014     1699 list.mem_cons_iff
0.000016     1700 true_or
0.000015     1701 list.perm.subset
0.000016     1702 list.mem_cons_self
0.000015     1703 list.nil_append
0.000014     1704 list.cons_append
0.000014     1705 list.no_confusion_type
0.000017     1706 list.no_confusion
0.000017     1707 list.cons.inj
0.000014     1708 list.cons.inj_eq
0.000017     1709 and_self
0.000015     1710 list.append_assoc
0.000016     1711 forall_congr
0.000015     1712 forall_congr_eq
0.000016     1713 not.elim
0.000015     1714 forall_prop_of_false
0.000015     1715 list.not_mem_nil
0.000016     1716 forall_true_iff
0.000015     1717 and_iff_left
0.000016     1718 and_true
0.000015     1719 and_iff_right
0.000014     1720 true_and
0.000017     1721 list.pairwise.dcases_on
0.000015     1722 list.pairwise_cons
0.000016     1723 false_or
0.000015     1724 or.imp_right
0.000014     1725 or.assoc
0.000017     1726 or_assoc
0.000015     1727 list.mem_append
0.000016     1728 or_imp_distrib
0.000015     1729 forall_and_distrib
0.000016     1730 list.forall_mem_append
0.000015     1731 and.assoc
0.000015     1732 and.imp
0.000016     1733 and_congr
0.000015     1734 and.swap
0.000014     1735 and.comm
0.000016     1736 and.left_comm
0.000015     1737 and_assoc
0.000016     1738 list.mem_cons_of_mem
0.000015     1739 list.ball_cons
0.000016     1740 list.forall_mem_cons
0.000015     1741 list.pairwise_append
0.000017     1742 list.pairwise_append_comm
0.000015     1743 list.pairwise_middle
0.000016     1744 list.rec_on
0.000015     1745 list.perm_induction_on
0.000016     1746 and.elim_left
0.000015     1747 and.elim_right
0.000016     1748 list.cons.inj_arrow
0.000015     1749 list.perm_middle
0.000016     1750 list.perm.swap'
0.000015     1751 list.perm_inv_core
0.000016     1752 list.perm.cons_inv
0.000015     1753 list.perm.pairwise_iff
0.000016     1754 list.perm.nodup_iff
0.000015     1755 multiset.nodup._proof_1
0.000014     1756 multiset.nodup
0.000017     1757 finset
0.000015     1758 list.perm.mem_iff
0.000014     1759 multiset.mem._proof_1
0.000016     1760 multiset.mem
0.000015     1761 multiset.has_mem
0.000017     1762 finset.val
0.000015     1763 finset.has_mem
0.000014     1764 fintype
0.000016     1765 infinite
0.000015     1766 has_emptyc
0.000016     1767 has_emptyc.emptyc
0.000015     1768 multiset.has_coe
0.000016     1769 multiset.zero
0.000015     1770 multiset.has_zero
0.000016     1771 multiset.nodup_zero
0.000015     1772 finset.empty
0.000016     1773 finset.has_emptyc
0.000015     1774 has_singleton
0.000016     1775 has_singleton.singleton
0.000015     1776 multiset.cons._proof_1
0.000016     1777 multiset.cons
0.000015     1778 multiset.has_singleton
0.000014     1779 congr_fun
0.000016     1780 list.nodup.equations._eqn_1
0.000015     1781 list.forall_mem_ne
0.000015     1782 list.nodup_cons
0.000016     1783 list.nodup_cons_of_nodup
0.000015     1784 list.nodup_nil
0.000016     1785 list.nodup_singleton
0.000015     1786 multiset.nodup_singleton
0.000016     1787 finset.has_singleton
0.000015     1788 quot.induction_on
0.000016     1789 multiset.mem_cons
0.000015     1790 multiset.not_mem_zero
0.000015     1791 multiset.mem_singleton
0.000016     1792 finset.mem_singleton
0.000015     1793 infinite.nontrivial._match_1
0.000016     1794 function.comp
0.000015     1795 decidable.not_imp_symm
0.000015     1796 not.decidable_imp_symm
0.000016     1797 not_forall_of_exists_not
0.000015     1798 decidable.not_forall
0.000015     1799 not_forall
0.000016     1800 infinite.not_fintype
0.000015     1801 infinite.exists_not_mem_finset
0.000016     1802 infinite.nontrivial._match_2
0.000015     1803 infinite.nontrivial
0.000014     1804 nat.cast._main
0.000016     1805 nat.cast
0.000016     1806 nat.cast_coe
0.000014     1807 char_zero
0.000016     1808 classical.dec
0.000015     1809 inhabited
0.000016     1810 classical.inhabited_of_nonempty
0.000015     1811 function.surjective
0.000015     1812 decidable_pred
0.000016     1813 list.not_bex_nil
0.000015     1814 list.eq_or_mem_of_mem_cons
0.000015     1815 list.decidable_bex._match_1
0.000016     1816 list.decidable_bex._main
0.111596     1817 list.decidable_bex
0.000064     1818 not.decidable
0.000023     1819 list.decidable_ball._match_1
0.000015     1820 list.decidable_ball._proof_1
0.000014     1821 list.decidable_ball
0.000014     1822 list.pw_filter._main
0.000014     1823 list.pw_filter
0.000014     1824 implies.decidable._proof_1
0.000015     1825 implies.decidable._proof_2
0.000014     1826 implies.decidable._proof_3
0.000014     1827 implies.decidable
0.000014     1828 ne.decidable
0.000015     1829 list.erase_dup
0.000015     1830 list.countp._main
0.000014     1831 list.countp
0.000014     1832 list.count
0.000018     1833 list.filter._main
0.000017     1834 list.filter
0.000017     1835 list.countp._main.equations._eqn_2
0.000017     1836 list.countp.equations._eqn_2
0.000017     1837 list.filter_cons_of_pos
0.000017     1838 list.countp_cons_of_neg
0.000017     1839 list.filter_cons_of_neg
0.000018     1840 list.countp_eq_length_filter
0.000015     1841 option.cases_on
0.000016     1842 list.filter_map._match_1
0.000015     1843 list.filter_map._main
0.000014     1844 list.filter_map
0.000016     1845 option.guard
0.000015     1846 list.filter_map._main.equations._eqn_2
0.000016     1847 list.filter_map.equations._eqn_2
0.000015     1848 option.guard.equations._eqn_1
0.000015     1849 list.filter_map._match_1.equations._eqn_2
0.000016     1850 list.filter_map._match_1.equations._eqn_1
0.000015     1851 list.filter_map_eq_filter
0.000016     1852 list.perm.drec
0.000015     1853 list.filter_map_nil
0.000016     1854 list.perm.filter_map
0.000016     1855 list.perm.filter
0.000014     1856 list.perm.countp_eq
0.000016     1857 list.perm.count_eq
0.000015     1858 list.count_nil
0.000016     1859 list.count_cons_self
0.000015     1860 list.erase._main
0.000016     1861 list.erase
0.000015     1862 list.erase_nil
0.000016     1863 nat.pred_zero
0.000015     1864 list.erase_cons
0.000016     1865 list.count_cons
0.000015     1866 list.count_cons'
0.000016     1867 nat.pred_succ
0.000015     1868 nat.add_monoid
0.000016     1869 list.count_erase_self
0.000015     1870 list.erasep._main
0.000016     1871 list.erasep
0.000015     1872 list.forall_mem_nil
0.000016     1873 list.erasep_cons
0.000015     1874 if_true
0.000016     1875 list.erasep_cons_of_pos
0.000015     1876 if_false
0.000016     1877 list.erasep_cons_of_neg
0.000015     1878 not_congr
0.000016     1879 list.exists_of_erasep
0.000015     1880 list.erase_cons_head
0.000014     1881 list.erase_cons_tail
0.000016     1882 list.erase_eq_erasep
0.000015     1883 list.exists_erase_eq
0.000016     1884 list.perm_cons_erase
0.000015     1885 list.count.equations._eqn_1
0.000016     1886 list.exists_mem_of_length_pos
0.000015     1887 list.length_pos_of_mem
0.000017     1888 list.length_pos_iff_exists_mem
0.000016     1889 list.sublist
0.000014     1890 list.sublist.dcases_on
0.000016     1891 list.sublist.subset
0.000015     1892 list.filter_sublist
0.000016     1893 list.filter_subset
0.000016     1894 list.mem_of_mem_filter
0.000014     1895 list.of_mem_filter
0.000016     1896 eq.dcases_on
0.000015     1897 list.mem_filter_of_mem
0.000016     1898 list.mem_filter
0.000015     1899 exists_prop
0.000016     1900 list.countp_pos
0.000015     1901 exists_congr
0.000016     1902 exists_eq_left
0.000015     1903 exists_eq_right
0.000016     1904 exists_eq_right'
0.000017     1905 list.count_pos
0.000016     1906 nat.succ_pos
0.000014     1907 nat.succ_pos'
0.000016     1908 list.count_erase_of_ne
0.000015     1909 list.count_cons_of_ne
0.000016     1910 list.perm_iff_count
0.000015     1911 not_or
0.000016     1912 list.decidable_mem._match_1
0.000015     1913 list.decidable_mem._main
0.000015     1914 list.decidable_mem
0.000016     1915 function.swap
0.000015     1916 imp.swap
0.000015     1917 imp_not_comm
0.000016     1918 list.not_mem_of_nodup_cons
0.000015     1919 list.not_nodup_cons_of_mem
0.000014     1920 list.mem_singleton_self
0.000016     1921 list.not_nodup_pair
0.000015     1922 ball.imp_left
0.000017     1923 list.pairwise_of_sublist
0.000015     1924 list.nodup_of_sublist
0.000014     1925 list.cons_sublist_cons
0.000016     1926 list.sublist.rec_on
0.000015     1927 list.sublist.cases_on
0.000014     1928 list.nil_sublist
0.000016     1929 list.sublist.trans
0.000015     1930 list.sublist.refl
0.000016     1931 list.sublist_append_right
0.000017     1932 list.singleton_sublist
0.000014     1933 list.sublist_cons_of_sublist
0.000017     1934 list.nodup_iff_sublist
0.000015     1935 list.repeat._main
0.000025     1936 list.repeat
0.000014     1937 nat.nat_zero_eq_zero
0.000014     1938 list.repeat._main.equations._eqn_1
0.000015     1939 list.repeat.equations._eqn_1
0.000016     1940 list.length._main.equations._eqn_1
0.000015     1941 list.length.equations._eqn_1
0.000016     1942 list.repeat._main.equations._eqn_2
0.000015     1943 list.repeat.equations._eqn_2
0.000016     1944 list.length_repeat
0.000015     1945 list.length_le_of_sublist
0.000016     1946 nat.less_than_or_equal.drec
0.000015     1947 list.repeat_succ
0.000015     1948 list.repeat_sublist_repeat
0.000016     1949 not_not_intro
0.000014     1950 not_true
0.000016     1951 false_and
0.000015     1952 nat.succ_ne_zero
0.000015     1953 or_iff_left_iff_imp
0.000015     1954 imp_self
0.000016     1955 list.mem_repeat
0.093448     1956 list.eq_of_mem_repeat
0.000063     1957 list.eq_repeat_of_mem
0.000023     1958 list.eq_repeat
0.000014     1959 iff_of_true
0.000015     1960 list.tail_eq_of_cons_eq
0.000014     1961 list.cons_injective
0.000014     1962 list.cons_inj
0.000014     1963 iff_of_false
0.000014     1964 list.filter_eq_self
0.000014     1965 list.count_repeat
0.000014     1966 list.sublist.drec
0.000014     1967 list.filter_map._main.equations._eqn_1
0.000018     1968 list.filter_map.equations._eqn_1
0.000017     1969 list.sublist.filter_map
0.000017     1970 list.filter_sublist_filter
0.000017     1971 list.countp_le_of_sublist
0.000017     1972 list.count_le_of_sublist
0.000017     1973 list.le_count_iff_repeat_sublist
0.000017     1974 list.nodup_iff_count_le_one
0.000016     1975 list.count_eq_one_of_mem
0.000017     1976 list.pw_filter_cons_of_pos
0.000017     1977 list.pw_filter_cons_of_neg
0.000016     1978 list.pairwise_pw_filter
0.000015     1979 list.nodup_erase_dup
0.000014     1980 list.erase_dup.equations._eqn_1
0.000017     1981 decidable.not_not
0.000015     1982 not_not
0.000014     1983 list.find._main
0.000016     1984 list.find
0.000015     1985 ball.imp_right
0.000017     1986 list.find_cons_of_pos
0.000014     1987 eq_false_intro
0.000017     1988 option.no_confusion_type
0.000014     1989 option.no_confusion
0.000017     1990 list.find_cons_of_neg
0.000017     1991 list.find_eq_none
0.000014     1992 list.find_mem
0.000016     1993 list.find_some
0.000015     1994 list.pw_filter_sublist
0.000016     1995 list.pw_filter_subset
0.000015     1996 list.forall_mem_pw_filter
0.000016     1997 not_and_of_not_or_not
0.000015     1998 decidable.not_and_distrib
0.000016     1999 not_and_distrib
0.000015     2000 list.mem_erase_dup
0.000015     2001 nat.eq_zero_or_pos
0.000016     2002 nat.pos_of_ne_zero
0.000015     2003 list.count_eq_zero_of_not_mem
0.000014     2004 list.perm.erase_dup
0.000014     2005 multiset.erase_dup._proof_1
0.000016     2006 multiset.erase_dup
0.000015     2007 multiset.nodup_erase_dup
0.000016     2008 multiset.to_finset._proof_1
0.000015     2009 multiset.to_finset
0.000016     2010 list.map._main
0.000015     2011 list.map
0.000016     2012 list.filter_map_cons_some
0.000015     2013 list.map_cons
0.000014     2014 list.filter_map_eq_map
0.000016     2015 list.perm.map
0.000015     2016 multiset.map._proof_1
0.000016     2017 multiset.map
0.000015     2018 finset.image
0.000016     2019 fintype.elems
0.000015     2020 finset.univ
0.000016     2021 finset.mem_def
0.000016     2022 finset.image_val
0.000015     2023 multiset.mem_erase_dup
0.000016     2024 list.exists_of_mem_map
0.000015     2025 list.mem_map_of_mem
0.000016     2026 list.mem_map
0.000015     2027 multiset.mem_map
0.000016     2028 finset.mem_image
0.000015     2029 finset.mem_image_of_mem
0.000016     2030 fintype.complete
0.000015     2031 finset.mem_univ
0.000016     2032 fintype.of_surjective._match_1
0.000015     2033 fintype.of_surjective._proof_1
0.000015     2034 fintype.of_surjective
0.000015     2035 set
0.000016     2036 set.mem
0.000015     2037 set.has_mem
0.000016     2038 function.inv_fun_on
0.000015     2039 set.univ
0.000016     2040 function.inv_fun
0.000015     2041 function.right_inverse
0.000017     2042 function.right_inverse.surjective
0.000015     2043 function.left_inverse.right_inverse
0.000014     2044 function.left_inverse.surjective
0.000016     2045 function.inv_fun_on.equations._eqn_1
0.000015     2046 bex_def
0.000016     2047 function.inv_fun_on_pos
0.000015     2048 function.inv_fun_on_eq
0.000016     2049 function.inv_fun_eq
0.000015     2050 function.left_inverse_inv_fun
0.000017     2051 function.inv_fun_surjective
0.000014     2052 fintype.of_injective._proof_1
0.000017     2053 fintype.of_injective
0.000014     2054 infinite.of_injective
0.000016     2055 fintype.cases_on
0.000015     2056 list.range_core._main
0.000016     2057 list.range_core
0.000015     2058 list.range
0.000017     2059 multiset.range
0.000015     2060 list.range'._main
0.000016     2061 list.range'
0.000015     2062 right_commutative
0.000016     2063 right_comm
0.000015     2064 add_right_comm
0.000016     2065 nat.add_comm_monoid
0.000015     2066 nat.add_comm_semigroup
0.000016     2067 list.range_core_range'
0.000015     2068 list.range_eq_range'
0.000016     2069 list.pairwise.imp_of_mem
0.000015     2070 list.pairwise.imp
0.000015     2071 list.chain
0.000016     2072 list.chain.drec
0.000015     2073 list.pairwise_singleton
0.000016     2074 forall_eq
0.000015     2075 forall_eq_or_imp
0.000016     2076 list.rel_of_pairwise_cons
0.000015     2077 list.chain.dcases_on
0.000015     2078 list.chain_cons
0.000016     2079 list.chain_of_pairwise
0.000014     2080 list.chain_iff_pairwise
0.000017     2081 list.chain.imp'
0.000014     2082 list.chain.imp
0.000017     2083 list.chain_succ_range'
0.000014     2084 list.chain_lt_range'
0.000017     2085 list.pairwise_lt_range'
0.000015     2086 list.nodup_range'
0.000016     2087 list.nodup_range
0.000015     2088 multiset.nodup_range
0.000016     2089 finset.range
0.000015     2090 iff.comm
0.000016     2091 iff_false
0.000015     2092 false_iff
0.000014     2093 imp_intro
0.000016     2094 or_and_distrib_left
0.000016     2095 or_iff_right_of_imp
0.000016     2096 nat.lt_succ_of_le
0.000015     2097 list.mem_range'
0.267240     2098 list.mem_range
0.000081     2099 list.not_mem_range_self
0.000027     2100 multiset.not_mem_range_self
0.000019     2101 finset.not_mem_range_self
0.000015     2102 is_commutative
0.000014     2103 is_associative
0.000014     2104 list.foldr._main
0.000014     2105 list.foldr
0.000014     2106 list.foldr_cons
0.000014     2107 list.perm.foldr_eq
0.000014     2108 multiset.foldr._proof_1
0.000014     2109 multiset.foldr
0.000018     2110 is_commutative.comm
0.000019     2111 is_associative.assoc
0.000015     2112 multiset.fold._proof_1
0.000016     2113 multiset.fold
0.000018     2114 finset.fold
0.000015     2115 semilattice_sup_bot.sup
0.000016     2116 semilattice_sup_bot.le_sup_left
0.000015     2117 semilattice_sup_bot.le_sup_right
0.000016     2118 semilattice_sup_bot.sup_le
0.000017     2119 semilattice_sup_bot.to_semilattice_sup
0.000017     2120 sup_le_iff
0.000017     2121 sup_comm
0.000018     2122 sup_is_commutative
0.000015     2123 finset.sup._proof_1
0.000017     2124 sup_assoc
0.000017     2125 sup_is_associative
0.000015     2126 finset.sup._proof_2
0.000016     2127 order_bot.bot
0.000017     2128 order_bot.to_has_bot
0.000015     2129 finset.sup
0.000014     2130 finset.has_subset
0.000016     2131 multiset.mem_range
0.000015     2132 finset.mem_range
0.000017     2133 multiset.sup._proof_1
0.000015     2134 multiset.sup._proof_2
0.000016     2135 multiset.sup
0.000017     2136 multiset.induction
0.000015     2137 multiset.induction_on
0.000016     2138 multiset.fold_zero
0.000017     2139 multiset.sup_zero
0.000018     2140 order_bot.bot_le
0.000025     2141 bot_le
0.000019     2142 forall_false_left
0.000014     2143 multiset.foldr_cons
0.000015     2144 multiset.fold_cons_left
0.000014     2145 multiset.sup_cons
0.000014     2146 and_congr_right
0.000013     2147 and.congr_right_iff
0.000018     2148 and.congr_left_iff
0.000017     2149 of_iff_true
0.000017     2150 forall_true_iff'
0.000015     2151 forall_2_true_iff
0.000016     2152 multiset.sup_le
0.000017     2153 exists_imp_distrib
0.000015     2154 finset.sup_le_iff
0.000016     2155 finset.le_sup
0.000015     2156 finset.subset_range_sup_succ
0.000016     2157 nat.infinite._match_1
0.000016     2158 nat.infinite
0.000014     2159 char_zero.cast_injective
0.000016     2160 nat.cast_injective
0.000015     2161 char_zero.infinite
0.000014     2162 strict_mono
0.000016     2163 ordering
0.000016     2164 ordering.cases_on
0.000014     2165 ordering.compares._main
0.000016     2166 ordering.compares
0.000015     2167 strict_mono_incr_on
0.000015     2168 strict_mono_incr_on.le_iff_le
0.000016     2169 strict_mono_incr_on.lt_iff_lt
0.000015     2170 le_of_eq
0.000014     2171 eq.le
0.000016     2172 strict_mono_incr_on.compares
0.000015     2173 strict_mono.strict_mono_incr_on
0.000016     2174 strict_mono.compares
0.000015     2175 strict_mono.injective
0.000014     2176 nat.le_induction
0.000016     2177 lt_add_of_pos_right
0.000015     2178 lt_add_of_lt_of_pos
0.000017     2179 nat.strict_mono_cast
0.000014     2180 ordered_semiring.to_char_zero
0.000016     2181 linear_ordered_semiring.exists_pair_ne
0.000015     2182 linear_ordered_semiring.to_nontrivial
0.000016     2183 linear_ordered_semiring.to_char_zero
0.000017     2184 linear_ordered_comm_ring.mul_comm
0.000015     2185 linear_ordered_comm_ring.to_comm_monoid
0.000016     2186 inv_mul_cancel_right'
0.000015     2187 div_mul_cancel
0.000016     2188 mul_lt_mul'
0.000015     2189 rat_mul_continuous_lemma
0.000014     2190 cau_seq.has_mul._match_4
0.000016     2191 add_le_add_right
0.000015     2192 add_lt_add_of_le_of_lt
0.000016     2193 lt_add_of_le_of_pos
0.000016     2194 lt_add_one
0.000014     2195 multiset.sum._proof_1
0.000016     2196 multiset.sum
0.000015     2197 finset.sum
0.000014     2198 lt_or_ge
0.000016     2199 lt_or_le
0.000015     2200 finset.fold_singleton
0.000016     2201 add_comm_semigroup.to_is_commutative
0.000015     2202 add_semigroup.to_is_associative
0.000016     2203 finset.sum_singleton
0.000014     2204 has_union
0.000017     2205 has_union.union
0.000014     2206 quotient.lift
0.000017     2207 setoid.iseqv
0.000015     2208 setoid.refl
0.000014     2209 quotient.lift₂._proof_1
0.000016     2210 quotient.ind
0.000016     2211 quotient.lift₂._proof_2
0.000014     2212 quotient.lift₂
0.000016     2213 quotient.lift_on₂
0.000016     2214 has_insert
0.000014     2215 has_insert.insert
0.000016     2216 list.insert
0.000015     2217 list.has_insert
0.000016     2218 list.union
0.000015     2219 list.has_union
0.000016     2220 list.nil_union
0.000015     2221 list.cons_union
0.000017     2222 list.insert.def
0.000014     2223 list.insert_of_mem
0.000017     2224 list.insert_of_not_mem
0.000015     2225 list.perm_cons
0.000014     2226 list.perm.insert
0.000016     2227 not.intro
0.000015     2228 list.not_mem_cons_of_ne_of_not_mem
0.000014     2229 list.perm_insert_swap
0.000016     2230 list.perm.union_right
0.000015     2231 list.perm.union_left
0.000016     2232 list.perm.union
0.000015     2233 multiset.ndunion._proof_1
0.000016     2234 multiset.ndunion
0.000015     2235 quotient.induction_on₂
0.000016     2236 list.nodup_insert
0.000017     2237 list.nodup_union
0.000014     2238 multiset.nodup_ndunion
0.000017     2239 finset.nodup
0.000015     2240 finset.has_union._proof_1
0.000014     2241 finset.has_union
0.102044     2242 has_sdiff
0.000061     2243 has_sdiff.sdiff
0.000025     2244 list.diff._main
0.000014     2245 list.diff
0.000014     2246 list.diff_nil
0.000014     2247 list.diff._main.equations._eqn_2
0.000014     2248 list.diff.equations._eqn_2
0.000014     2249 list.forall_mem_of_forall_mem_cons
0.000014     2250 list.erasep_of_forall_not
0.000014     2251 list.erase_of_not_mem
0.000014     2252 list.diff_cons
0.000014     2253 list.mem_of_ne_of_mem
0.000014     2254 list.erasep_append_left
0.000014     2255 list.erase_append_left
0.000014     2256 list.erasep_append_right
0.000018     2257 list.erase_append_right
0.000018     2258 decidable_of_decidable_of_iff._proof_1
0.000017     2259 decidable_of_decidable_of_iff
0.000015     2260 decidable_of_iff
0.000016     2261 has_coe_to_sort
0.000017     2262 has_coe_to_sort.S
0.000017     2263 has_coe_to_sort.coe
0.000019     2264 coe_sort
0.000023     2265 bool
0.000018     2266 coe_sort_bool
0.000014     2267 bool.cases_on
0.000017     2268 bor._main
0.000028     2269 bor
0.000015     2270 list.any
0.000019     2271 decidable.to_bool
0.000015     2272 bool.no_confusion_type
0.000016     2273 bool.no_confusion
0.000017     2274 coe_sort_ff
0.000015     2275 bool.not_ff
0.000015     2276 list.not_exists_mem_nil
0.000016     2277 list.any_cons
0.000017     2278 as_true
0.000015     2279 of_as_true
0.000016     2280 iff.decidable._proof_1
0.000015     2281 iff.decidable._proof_2
0.000016     2282 iff.decidable._proof_3
0.000017     2283 iff.decidable._proof_4
0.000015     2284 iff.decidable
0.000018     2285 bool.ff_ne_tt
0.000015     2286 bool.decidable_eq._main
0.000016     2287 bool.decidable_eq
0.000015     2288 bor_coe_iff
0.000016     2289 bex.elim
0.000015     2290 bex.intro
0.000016     2291 list.or_exists_of_exists_mem_cons
0.000015     2292 list.exists_mem_cons_of
0.000017     2293 list.exists_mem_cons_of_exists
0.000015     2294 list.exists_mem_cons_iff
0.000016     2295 list.any_iff_exists
0.000015     2296 exists_prop_congr
0.000014     2297 exists_prop_congr'
0.000014     2298 to_bool_iff
0.000016     2299 of_to_bool_true
0.000015     2300 to_bool_true
0.000016     2301 bool.of_to_bool_iff
0.000015     2302 list.any_iff_exists_prop
0.000017     2303 list.decidable_exists_mem._proof_1
0.000016     2304 list.decidable_exists_mem
0.000017     2305 not_exists
0.000016     2306 not_and
0.000015     2307 list.exists_or_eq_self_of_erasep
0.000015     2308 list.sublist_cons
0.000017     2309 list.sublist_of_cons_sublist
0.000015     2310 list.sublist_of_cons_sublist_cons
0.000014     2311 list.cons_sublist_cons_iff
0.000017     2312 list.append_sublist_append_left
0.000015     2313 list.erasep_sublist
0.000014     2314 list.erase_sublist
0.000016     2315 list.erase_subset
0.000016     2316 list.mem_of_mem_erase
0.000014     2317 list.erase_comm
0.000016     2318 list.perm.diff_left
0.000015     2319 list.perm.erase
0.000014     2320 list.perm.diff_right
0.000016     2321 list.perm.diff
0.000015     2322 multiset.sub._proof_1
0.000016     2323 multiset.sub
0.000015     2324 multiset.has_sub
0.000017     2325 list.subperm
0.000015     2326 list.eq_nil_of_subset_nil
0.000016     2327 list.eq_nil_of_sublist_nil
0.000015     2328 list.exists_perm_sublist
0.000016     2329 list.perm.subperm_left
0.000015     2330 list.perm.subperm_right
0.000016     2331 multiset.le._proof_1
0.000015     2332 multiset.le
0.000015     2333 preorder.lt._default
0.000016     2334 list.perm.subperm
0.000015     2335 list.subperm.refl
0.000016     2336 multiset.partial_order._proof_1
0.000015     2337 list.subperm.trans
0.000014     2338 multiset.partial_order._proof_2
0.000017     2339 multiset.partial_order._proof_3
0.000014     2340 nat.succ.inj_arrow
0.000016     2341 list.eq_of_sublist_of_length_eq
0.000015     2342 list.eq_of_sublist_of_length_le
0.000016     2343 list.subperm.perm_of_length_le
0.000015     2344 list.subperm.length_le
0.000017     2345 list.subperm.antisymm
0.000017     2346 multiset.partial_order._proof_4
0.000015     2347 multiset.partial_order
0.000017     2348 multiset.le_induction_on
0.000015     2349 multiset.nodup_of_le
0.000017     2350 list.perm.append_right
0.000015     2351 list.perm.append_left
0.000015     2352 list.perm.append
0.000016     2353 multiset.add._proof_1
0.000017     2354 multiset.add
0.000015     2355 multiset.has_add
0.000016     2356 multiset.sub_zero
0.000015     2357 quotient.induction_on₃
0.000014     2358 multiset.ordered_cancel_add_comm_monoid._proof_1
0.000016     2359 list.sublist.subperm
0.000015     2360 list.subperm_cons
0.000016     2361 list.subperm_append_left
0.000015     2362 multiset.add_le_add_left
0.000015     2363 multiset.add_left_cancel
0.000016     2364 multiset.zero_add
0.000015     2365 list.append_nil
0.000014     2366 list.perm_append_comm
0.000016     2367 multiset.add_comm
0.000015     2368 multiset.ordered_cancel_add_comm_monoid._proof_2
0.000016     2369 nsmul_rec._main
0.000015     2370 nsmul_rec
0.000016     2371 add_monoid.nsmul._default
0.000016     2372 add_left_cancel_monoid.nsmul._default
0.000014     2373 add_cancel_comm_monoid.nsmul._default
0.000016     2374 multiset.ordered_cancel_add_comm_monoid._proof_3
0.000015     2375 multiset.ordered_cancel_add_comm_monoid._proof_4
0.096332     2376 multiset.ordered_cancel_add_comm_monoid._proof_5
0.000058     2377 multiset.ordered_cancel_add_comm_monoid._proof_6
0.000025     2378 multiset.ordered_cancel_add_comm_monoid._proof_7
0.000014     2379 multiset.ordered_cancel_add_comm_monoid._proof_8
0.000015     2380 multiset.ordered_cancel_add_comm_monoid._proof_9
0.000014     2381 multiset.ordered_cancel_add_comm_monoid._proof_10
0.000014     2382 multiset.ordered_cancel_add_comm_monoid._proof_11
0.000014     2383 multiset.ordered_cancel_add_comm_monoid
0.000014     2384 nonempty.elim
0.000015     2385 forall_const
0.000014     2386 inhabited.default
0.000014     2387 nonempty_of_inhabited
0.000014     2388 multiset.inhabited_multiset
0.000014     2389 multiset.erase._proof_1
0.000017     2390 multiset.erase
0.000018     2391 multiset.sub_cons
0.000015     2392 subsingleton
0.000017     2393 psigma
0.000017     2394 psigma.fst
0.000018     2395 quot.indep
0.000016     2396 psigma.snd
0.000017     2397 psigma.cases_on
0.000015     2398 psigma.eq
0.000015     2399 quot.indep_coherent
0.000016     2400 quot.lift_indep_pr1
0.000014     2401 quot.rec
0.000017     2402 subsingleton.elim
0.000015     2403 quot.rec_on_subsingleton._proof_1
0.000014     2404 quot.rec_on_subsingleton
0.000017     2405 proof_irrel
0.000015     2406 decidable.subsingleton._match_3
0.000014     2407 decidable.subsingleton._match_2
0.000016     2408 decidable.subsingleton._match_1
0.000016     2409 decidable.subsingleton
0.000014     2410 multiset.decidable_mem._proof_1
0.000016     2411 multiset.decidable_mem
0.000015     2412 multiset.cons_erase
0.000016     2413 multiset.erase_of_not_mem
0.000015     2414 multiset.quot_mk_to_coe''
0.000017     2415 multiset.cons_coe
0.000014     2416 has_le.le.lt_of_ne
0.000017     2417 lt_iff_le_and_ne
0.000015     2418 multiset.coe_le
0.000016     2419 setoid.trans
0.000015     2420 setoid.symm
0.000016     2421 _private.100293989.rel._proof_1
0.000015     2422 _private.100293989.rel
0.000016     2423 _private.3833919617.rel.refl
0.000015     2424 _private.3059602155.eq_imp_rel
0.000015     2425 quotient.exact
0.000016     2426 quotient.eq
0.000015     2427 multiset.coe_eq_coe
0.000014     2428 multiset.lt_cons_self
0.000017     2429 multiset.le_cons_self
0.000015     2430 multiset.le_cons_erase
0.000016     2431 multiset.cons_le_cons_iff
0.000014     2432 multiset.cons_le_cons
0.000017     2433 multiset.erase_le
0.000015     2434 list.sublist_or_mem_of_sublist
0.000015     2435 multiset.mem_cons_self
0.000016     2436 multiset.le_cons_of_not_mem
0.000015     2437 multiset.erase_le_iff_le_cons
0.000014     2438 multiset.singleton_add
0.000017     2439 multiset.cons_add
0.000015     2440 multiset.add_cons
0.000016     2441 multiset.sub_le_iff_le_add
0.000015     2442 le_add_iff_nonneg_right
0.000016     2443 multiset.zero_le
0.000015     2444 multiset.le_add_right
0.000016     2445 multiset.sub_le_self
0.000017     2446 finset.has_sdiff._proof_1
0.000015     2447 finset.has_sdiff
0.000016     2448 le_add_of_nonneg_left
0.000015     2449 comm_monoid.one
0.000016     2450 comm_monoid.one_mul
0.000015     2451 comm_monoid.mul_one
0.000016     2452 comm_monoid.npow
0.000015     2453 comm_monoid.npow_zero'
0.000016     2454 comm_monoid.npow_succ'
0.000014     2455 comm_monoid.to_monoid
0.000015     2456 mul_left_comm
0.000014     2457 multiset.prod._proof_1
0.000014     2458 multiset.prod
0.000014     2459 finset.prod
0.000015     2460 has_pow
0.000014     2461 has_pow.pow
0.000016     2462 monoid.npow
0.000015     2463 monoid.has_pow
0.000016     2464 add_monoid_hom
0.000015     2465 add_monoid_hom.to_fun
0.000014     2466 add_monoid_hom.has_coe_to_fun
0.000016     2467 multiset.card._proof_1
0.000015     2468 multiset.card._proof_2
0.000016     2469 list.length_append
0.000015     2470 multiset.card._proof_3
0.000017     2471 multiset.card
0.000014     2472 multiset.repeat
0.000017     2473 finset.prod.equations._eqn_1
0.000014     2474 function.const
0.000016     2475 list.map._main.equations._eqn_2
0.000016     2476 list.map.equations._eqn_2
0.000014     2477 list.map_const
0.000016     2478 multiset.map_const
0.000015     2479 list.foldl._main
0.000016     2480 list.foldl
0.000015     2481 list.prod
0.000016     2482 multiset.repeat.equations._eqn_1
0.000014     2483 list.foldl._main.equations._eqn_2
0.000016     2484 list.foldl.equations._eqn_2
0.000015     2485 list.perm.foldl_eq'
0.000016     2486 list.perm.foldl_eq
0.000015     2487 multiset.foldl._proof_1
0.000016     2488 multiset.foldl
0.000015     2489 mul_right_comm
0.000016     2490 list.reverse_core._main
0.000015     2491 list.reverse_core
0.000016     2492 list.reverse
0.000015     2493 list.reverse_core._main.equations._eqn_2
0.000014     2494 list.reverse_core.equations._eqn_2
0.000017     2495 list.reverse_cons
0.000014     2496 list.perm_append_singleton
0.000017     2497 list.reverse_perm
0.000015     2498 multiset.coe_reverse
0.000022     2499 list.foldl_cons
0.000016     2500 list.foldl_append
0.000015     2501 list.foldl_nil
0.000013     2502 list.foldr._main.equations._eqn_2
0.000014     2503 list.foldr.equations._eqn_2
0.000015     2504 list.foldl_reverse
0.000016     2505 list.reverse_nil
0.000015     2506 list.reverse_append
0.107309     2507 list.reverse_reverse
0.000063     2508 list.foldr_reverse
0.000025     2509 multiset.coe_foldr_swap
0.000015     2510 multiset.foldr_swap
0.000014     2511 multiset.prod_eq_foldl
0.000014     2512 multiset.coe_prod
0.000014     2513 monoid.npow_zero'
0.000014     2514 pow_zero
0.000014     2515 list.prod.equations._eqn_1
0.000015     2516 list.foldl_assoc
0.000014     2517 semigroup.to_is_associative
0.000014     2518 list.prod_cons
0.000014     2519 npow_eq_pow
0.000017     2520 monoid.npow_succ'
0.000017     2521 npow_add
0.000017     2522 npow_one
0.000017     2523 pow_succ
0.000015     2524 list.prod_repeat
0.000016     2525 multiset.prod_repeat
0.000018     2526 one_pow
0.000016     2527 finset.prod_const_one
0.000015     2528 multiplicative
0.000014     2529 equiv
0.000016     2530 equiv.to_fun
0.000017     2531 equiv.has_coe_to_fun
0.000017     2532 multiplicative.of_add._proof_1
0.000017     2533 multiplicative.of_add._proof_2
0.000015     2534 multiplicative.of_add
0.000017     2535 equiv.inv_fun
0.000015     2536 equiv.right_inv
0.000016     2537 equiv.left_inv
0.000018     2538 equiv.symm
0.000017     2539 multiplicative.to_add
0.000017     2540 multiplicative.has_mul
0.000025     2541 multiplicative.semigroup
0.000015     2542 multiplicative.monoid._proof_1
0.000014     2543 multiplicative.has_one
0.000014     2544 multiplicative.mul_one_class._proof_1
0.000018     2545 multiplicative.mul_one_class._proof_2
0.000017     2546 multiplicative.mul_one_class
0.000015     2547 multiplicative.monoid._proof_2
0.000017     2548 multiplicative.monoid._proof_3
0.000017     2549 add_monoid.nsmul
0.000017     2550 add_monoid.nsmul_zero'
0.000014     2551 multiplicative.monoid._proof_4
0.000015     2552 add_monoid.nsmul_succ'
0.000016     2553 multiplicative.monoid._proof_5
0.000015     2554 multiplicative.monoid
0.000016     2555 multiplicative.comm_monoid._proof_1
0.000016     2556 multiplicative.comm_monoid._proof_2
0.000014     2557 multiplicative.comm_monoid._proof_3
0.000016     2558 multiplicative.comm_monoid._proof_4
0.000015     2559 multiplicative.comm_monoid._proof_5
0.000014     2560 multiplicative.comm_semigroup._proof_1
0.000014     2561 multiplicative.comm_semigroup._proof_2
0.000018     2562 multiplicative.comm_semigroup
0.000015     2563 multiplicative.comm_monoid._proof_6
0.000016     2564 multiplicative.comm_monoid
0.000014     2565 finset.sum_const_zero
0.000017     2566 multiset.ndinsert._proof_1
0.000015     2567 multiset.ndinsert
0.000017     2568 multiset.nodup_ndinsert
0.000017     2569 finset.has_insert._proof_1
0.000016     2570 finset.has_insert
0.000014     2571 multiset.nodup_cons
0.000016     2572 finset.cons._proof_1
0.000015     2573 finset.cons
0.000016     2574 finset.cases_on
0.000015     2575 finset.eq_of_veq
0.000016     2576 finset.cons_val
0.000015     2577 finset.cons_induction
0.000016     2578 finset.val_inj
0.000015     2579 list.cons_subperm_of_mem
0.000016     2580 list.subperm_of_subset_nodup
0.000015     2581 list.perm_ext
0.000016     2582 multiset.nodup_ext
0.000017     2583 finset.ext_iff
0.000015     2584 finset.ext
0.000016     2585 finset.mem_cons
0.000016     2586 list.mem_insert_iff
0.000016     2587 multiset.mem_ndinsert
0.000017     2588 finset.mem_insert
0.000015     2589 finset.cons_eq_insert
0.000016     2590 finset.induction
0.000016     2591 finset.induction_on
0.000014     2592 finset.fold.equations._eqn_1
0.000016     2593 finset.insert_val
0.000015     2594 multiset.ndinsert_of_not_mem
0.000016     2595 multiset.map_cons
0.000015     2596 finset.fold_insert
0.000015     2597 finset.sum_insert
0.000016     2598 has_le.le.trans
0.000015     2599 add_le_add
0.000014     2600 multiset.mem_ndinsert_self
0.000017     2601 finset.mem_insert_self
0.000015     2602 multiset.mem_ndinsert_of_mem
0.000016     2603 finset.mem_insert_of_mem
0.000014     2604 finset.sum_le_sum
0.000017     2605 finset.sum_nonneg
0.000014     2606 multiset.subset
0.000016     2607 multiset.has_subset
0.000015     2608 multiset.mem_of_subset
0.000016     2609 list.subset.trans
0.000016     2610 list.subperm.subset
0.000014     2611 multiset.subset_of_le
0.000016     2612 multiset.mem_of_le
0.000015     2613 multiset.countp._proof_1
0.000016     2614 multiset.countp
0.000015     2615 multiset.count
0.000014     2616 iff_iff_implies_and_implies
0.000017     2617 iff_def
0.000014     2618 decidable.not_imp_comm
0.000017     2619 decidable.iff_not_comm
0.000015     2620 iff_not_comm
0.000016     2621 multiset.count.equations._eqn_1
0.000015     2622 multiset.filter._proof_1
0.000016     2623 multiset.filter
0.000015     2624 multiset.countp_eq_card_filter
0.000016     2625 multiset.card_pos_iff_exists_mem
0.000015     2626 multiset.mem_filter
0.000014     2627 multiset.countp_pos
0.000017     2628 multiset.count_pos
0.000015     2629 canonically_ordered_add_monoid
0.000016     2630 canonically_ordered_add_monoid.add
0.000015     2631 canonically_ordered_add_monoid.add_assoc
0.000016     2632 canonically_ordered_add_monoid.zero
0.000015     2633 canonically_ordered_add_monoid.zero_add
0.000016     2634 canonically_ordered_add_monoid.add_zero
0.000015     2635 canonically_ordered_add_monoid.nsmul
0.200717     2636 canonically_ordered_add_monoid.nsmul_zero'
0.000060     2637 canonically_ordered_add_monoid.nsmul_succ'
0.000024     2638 canonically_ordered_add_monoid.add_comm
0.000015     2639 canonically_ordered_add_monoid.le
0.000014     2640 canonically_ordered_add_monoid.lt
0.000014     2641 canonically_ordered_add_monoid.le_refl
0.000014     2642 canonically_ordered_add_monoid.le_trans
0.000015     2643 canonically_ordered_add_monoid.lt_iff_le_not_le
0.000014     2644 canonically_ordered_add_monoid.le_antisymm
0.000014     2645 canonically_ordered_add_monoid.add_le_add_left
0.000014     2646 canonically_ordered_add_monoid.lt_of_add_lt_add_left
0.000015     2647 canonically_ordered_add_monoid.to_ordered_add_comm_monoid
0.000018     2648 canonically_ordered_add_monoid.le_iff_exists_add
0.000018     2649 le_iff_exists_add
0.000015     2650 zero_le
0.000016     2651 pos_iff_ne_zero
0.000018     2652 comm_semiring.to_semiring
0.000015     2653 canonically_ordered_comm_semiring
0.000014     2654 canonically_ordered_comm_semiring.add
0.000014     2655 canonically_ordered_comm_semiring.add_assoc
0.000016     2656 canonically_ordered_comm_semiring.zero
0.000015     2657 canonically_ordered_comm_semiring.zero_add
0.000016     2658 canonically_ordered_comm_semiring.add_zero
0.000017     2659 canonically_ordered_comm_semiring.nsmul
0.000017     2660 canonically_ordered_comm_semiring.nsmul_zero'
0.000015     2661 canonically_ordered_comm_semiring.nsmul_succ'
0.000014     2662 canonically_ordered_comm_semiring.add_comm
0.000017     2663 canonically_ordered_comm_semiring.le
0.000017     2664 canonically_ordered_comm_semiring.lt
0.000017     2665 canonically_ordered_comm_semiring.le_refl
0.000017     2666 canonically_ordered_comm_semiring.le_trans
0.000017     2667 canonically_ordered_comm_semiring.lt_iff_le_not_le
0.000017     2668 canonically_ordered_comm_semiring.le_antisymm
0.000015     2669 canonically_ordered_comm_semiring.add_le_add_left
0.000017     2670 canonically_ordered_comm_semiring.lt_of_add_lt_add_left
0.000017     2671 canonically_ordered_comm_semiring.bot
0.000015     2672 canonically_ordered_comm_semiring.bot_le
0.000016     2673 canonically_ordered_comm_semiring.le_iff_exists_add
0.000017     2674 canonically_ordered_comm_semiring.to_canonically_ordered_add_monoid
0.000016     2675 nat.canonically_ordered_comm_semiring._proof_1
0.000014     2676 nat.canonically_ordered_comm_semiring._proof_2
0.000016     2677 nat.canonically_ordered_comm_semiring._proof_3
0.000015     2678 nat.canonically_ordered_comm_semiring._proof_4
0.000016     2679 nat.canonically_ordered_comm_semiring._proof_5
0.000015     2680 nat.canonically_ordered_comm_semiring._proof_6
0.000016     2681 nat.canonically_ordered_comm_semiring._proof_7
0.000016     2682 nat.canonically_ordered_comm_semiring._proof_8
0.000016     2683 nat.canonically_ordered_comm_semiring._proof_9
0.000015     2684 nat.canonically_ordered_comm_semiring._proof_10
0.000016     2685 nat.canonically_ordered_comm_semiring._proof_11
0.000015     2686 nat.canonically_ordered_comm_semiring._proof_12
0.000017     2687 nat.canonically_ordered_comm_semiring._match_1
0.000015     2688 nat.canonically_ordered_comm_semiring._match_2
0.000016     2689 nat.canonically_ordered_comm_semiring._proof_13
0.000016     2690 nat.canonically_ordered_comm_semiring._proof_14
0.000016     2691 nat.canonically_ordered_comm_semiring._proof_15
0.000017     2692 nat.canonically_ordered_comm_semiring._proof_16
0.000015     2693 nat.canonically_ordered_comm_semiring._proof_17
0.000016     2694 nat.canonically_ordered_comm_semiring._proof_18
0.000015     2695 nat.canonically_ordered_comm_semiring._proof_19
0.000016     2696 nat.canonically_ordered_comm_semiring._proof_20
0.000017     2697 nat.canonically_ordered_comm_semiring._proof_21
0.000015     2698 nat.canonically_ordered_comm_semiring._proof_22
0.000016     2699 comm_semiring.mul_comm
0.000015     2700 nat.canonically_ordered_comm_semiring._proof_23
0.000016     2701 nat.add_one
0.000015     2702 nat.eq_zero_of_add_eq_zero_right
0.000017     2703 nat.eq_zero_of_add_eq_zero_left
0.000014     2704 nat.eq_zero_of_mul_eq_zero
0.000017     2705 nat.canonically_ordered_comm_semiring._proof_24
0.000015     2706 nat.canonically_ordered_comm_semiring
0.000017     2707 multiset.count_eq_zero
0.000015     2708 nat.sub._main
0.000014     2709 nat.sub
0.000016     2710 nat.has_sub
0.000015     2711 multiset.count_zero
0.000016     2712 nat.sub_zero
0.000015     2713 list.countp_cons_of_pos
0.000016     2714 multiset.countp_cons_of_pos
0.000014     2715 multiset.count_cons_self
0.000017     2716 multiset.count_erase_self
0.000015     2717 nat.sub_succ
0.000014     2718 nat.sub_one
0.000016     2719 nat.sub_sub
0.000015     2720 nat.one_add
0.000016     2721 nat.pred_sub
0.000015     2722 multiset.countp_cons_of_neg
0.000016     2723 multiset.count_cons_of_ne
0.103252     2724 multiset.count_erase_of_ne
0.000058     2725 multiset.count_sub
0.000025     2726 nat.add_le_add_right
0.000014     2727 nat.rec_on
0.000014     2728 nat.succ_sub_succ_eq_sub
0.000014     2729 nat.succ_sub_succ
0.000015     2730 nat.add_sub_add_right
0.000014     2731 nat.le_of_sub_eq_zero
0.000014     2732 nat.add_sub_add_left
0.000014     2733 nat.zero_sub
0.000014     2734 nat.sub_self_add
0.000014     2735 nat.sub_eq_zero_of_le
0.000014     2736 nat.sub_eq_zero_iff_le
0.000014     2737 multiset.nodup_iff_count_le_one
0.000014     2738 multiset.mem_add
0.000018     2739 multiset.le_sub_add
0.000018     2740 multiset.mem_sub_of_nodup
0.000017     2741 finset.mem_sdiff
0.000016     2742 semilattice_inf_bot
0.000015     2743 semilattice_inf_bot.bot
0.000017     2744 semilattice_inf_bot.le
0.000017     2745 semilattice_inf_bot.lt
0.000017     2746 semilattice_inf_bot.le_refl
0.000017     2747 semilattice_inf_bot.le_trans
0.000015     2748 semilattice_inf_bot.lt_iff_le_not_le
0.000016     2749 semilattice_inf_bot.le_antisymm
0.000017     2750 semilattice_inf_bot.bot_le
0.000016     2751 semilattice_inf_bot.to_order_bot
0.000014     2752 semilattice_inf_bot.inf
0.000017     2753 semilattice_inf_bot.inf_le_left
0.000017     2754 semilattice_inf_bot.inf_le_right
0.000017     2755 semilattice_inf_bot.le_inf
0.000018     2756 semilattice_inf_bot.to_semilattice_inf
0.000016     2757 disjoint
0.000018     2758 has_ssubset
0.000015     2759 has_ssubset.ssubset
0.000016     2760 finset.has_ssubset
0.000015     2761 multiset.subset.refl
0.000018     2762 finset.subset.refl
0.000015     2763 multiset.subset.trans
0.000017     2764 finset.subset.trans
0.000015     2765 finset.partial_order._proof_1
0.000016     2766 finset.subset.antisymm
0.000015     2767 finset.partial_order
0.000016     2768 finset.lattice._proof_1
0.000015     2769 finset.lattice._proof_2
0.000016     2770 finset.lattice._proof_3
0.000015     2771 finset.lattice._proof_4
0.000016     2772 list.mem_union
0.000015     2773 multiset.mem_ndunion
0.000016     2774 finset.mem_union
0.000017     2775 finset.mem_union_left
0.000015     2776 finset.subset_union_left
0.000017     2777 finset.lattice._proof_5
0.000014     2778 finset.mem_union_right
0.000017     2779 finset.subset_union_right
0.000015     2780 finset.lattice._proof_6
0.000014     2781 multiset.le_iff_subset
0.000016     2782 finset.val_le_iff
0.000015     2783 multiset.zero_ndunion
0.000017     2784 multiset.zero_subset
0.000014     2785 multiset.cons_ndunion
0.000016     2786 list.is_suffix
0.000015     2787 list.is_infix
0.000016     2788 list.sublist_append_left
0.000015     2789 list.sublist_of_infix
0.000016     2790 list.infix_of_suffix
0.000014     2791 list.sublist_of_suffix
0.000017     2792 list.suffix_refl
0.000014     2793 list.suffix_append
0.000026     2794 list.suffix_cons
0.000015     2795 list.suffix_insert
0.000014     2796 multiset.le_ndinsert_self
0.000018     2797 multiset.ndinsert_of_mem
0.000015     2798 multiset.ndinsert_le
0.000017     2799 and_comm
0.000015     2800 multiset.subset_iff
0.000017     2801 multiset.cons_subset
0.000017     2802 multiset.ndunion_le
0.000015     2803 finset.union_subset
0.000017     2804 finset.lattice._proof_7
0.000015     2805 has_inter
0.000016     2806 has_inter.inter
0.000015     2807 multiset.ndinter
0.000016     2808 list.pairwise_filter_of_pairwise
0.000015     2809 list.nodup_filter
0.000016     2810 multiset.nodup_filter
0.000015     2811 multiset.nodup_ndinter
0.000016     2812 finset.has_inter._proof_1
0.000015     2813 finset.has_inter
0.000017     2814 multiset.mem_ndinter
0.000015     2815 finset.mem_inter
0.000016     2816 finset.mem_of_mem_inter_left
0.000015     2817 finset.inter_subset_left
0.000014     2818 finset.lattice._proof_8
0.000016     2819 finset.mem_of_mem_inter_right
0.000015     2820 finset.inter_subset_right
0.000017     2821 finset.lattice._proof_9
0.000015     2822 finset.subset_iff
0.000015     2823 finset.subset_inter
0.000016     2824 finset.lattice._proof_10
0.000015     2825 finset.lattice
0.000015     2826 finset.semilattice_inf_bot._proof_1
0.000016     2827 finset.semilattice_inf_bot._proof_2
0.000015     2828 finset.semilattice_inf_bot._proof_3
0.000015     2829 finset.semilattice_inf_bot._proof_4
0.000014     2830 finset.empty_subset
0.000018     2831 finset.semilattice_inf_bot._proof_5
0.000016     2832 finset.semilattice_inf_bot._proof_6
0.000014     2833 finset.semilattice_inf_bot._proof_7
0.000016     2834 finset.semilattice_inf_bot
0.000015     2835 multiset.coe_fold_l
0.000017     2836 multiset.fold_eq_foldl
0.000015     2837 multiset.foldl_cons
0.000016     2838 multiset.fold_cons'_right
0.000015     2839 multiset.fold_cons_right
0.000015     2840 of_eq_true
0.000016     2841 eq_true_intro
0.000016     2842 multiset.fold_add
0.000014     2843 list.map._main.equations._eqn_1
0.000016     2844 list.map.equations._eqn_1
0.000016     2845 list.map_append
0.000014     2846 multiset.map_add
0.000016     2847 multiset.union
0.000015     2848 multiset.has_union
0.000016     2849 multiset.le_union_left
0.000015     2850 le_add_iff_nonneg_left
0.000017     2851 multiset.le_add_left
0.000015     2852 multiset.le_union_right
0.155284     2853 multiset.ndunion_le_union
0.000059     2854 multiset.canonically_ordered_add_monoid._proof_1
0.000024     2855 multiset.canonically_ordered_add_monoid._proof_2
0.000015     2856 multiset.canonically_ordered_add_monoid._proof_3
0.000015     2857 multiset.canonically_ordered_add_monoid._proof_4
0.000014     2858 multiset.canonically_ordered_add_monoid._proof_5
0.000014     2859 multiset.canonically_ordered_add_monoid._proof_6
0.000014     2860 multiset.canonically_ordered_add_monoid._proof_7
0.000014     2861 multiset.canonically_ordered_add_monoid._proof_8
0.000015     2862 multiset.canonically_ordered_add_monoid._proof_9
0.000014     2863 multiset.canonically_ordered_add_monoid._proof_10
0.000014     2864 multiset.canonically_ordered_add_monoid._proof_11
0.000019     2865 multiset.canonically_ordered_add_monoid._proof_12
0.000017     2866 list.sublist.exists_perm_append
0.000018     2867 multiset.le_iff_exists_add
0.000015     2868 multiset.canonically_ordered_add_monoid
0.000017     2869 forall_prop_of_true
0.000017     2870 forall_true_left
0.000016     2871 multiset.add_sub_of_le
0.000014     2872 multiset.sub_add_cancel
0.000017     2873 multiset.eq_union_left
0.000017     2874 list.sublist.erasep
0.000017     2875 list.sublist.erase
0.000017     2876 multiset.erase_le_erase
0.000016     2877 multiset.sub_le_sub_right
0.000018     2878 multiset.union_le_union_right
0.000015     2879 multiset.union_le
0.000016     2880 multiset.subset_ndunion_left
0.000017     2881 multiset.le_ndunion_left
0.000017     2882 list.sublist_suffix_of_union
0.000017     2883 list.suffix_union_right
0.000015     2884 multiset.le_ndunion_right
0.000015     2885 multiset.ndunion_eq_union
0.000016     2886 finset.union_val
0.000015     2887 list.bag_inter._main
0.000016     2888 list.bag_inter
0.000015     2889 list.nil_bag_inter
0.000016     2890 list.cons_bag_inter_of_pos
0.000016     2891 list.bag_inter_nil
0.000014     2892 list.bag_inter._main.equations._eqn_4
0.000017     2893 list.bag_inter.equations._eqn_4
0.000015     2894 list.cons_bag_inter_of_neg
0.000014     2895 list.perm.bag_inter_left
0.000017     2896 list.erasep_subset
0.000015     2897 list.mem_of_mem_erasep
0.000016     2898 list.mem_erasep_of_neg
0.000015     2899 list.mem_erase_of_ne
0.000015     2900 list.perm.bag_inter_right
0.000016     2901 list.perm.bag_inter
0.000015     2902 multiset.inter._proof_1
0.000015     2903 multiset.inter
0.000016     2904 multiset.has_inter
0.000015     2905 multiset.zero_inter
0.000015     2906 multiset.cons_inter_of_pos
0.000016     2907 multiset.cons_inter_of_neg
0.000015     2908 multiset.le_inter
0.000015     2909 multiset.ndinter.equations._eqn_1
0.000016     2910 multiset.filter_le
0.000015     2911 multiset.of_mem_filter
0.000015     2912 multiset.filter_eq_self
0.000016     2913 multiset.filter_le_filter
0.000015     2914 multiset.le_filter
0.000016     2915 multiset.le_ndinter
0.000015     2916 multiset.ndinter_le_left
0.000016     2917 multiset.ndinter_subset_right
0.000015     2918 multiset.ndinter_le_right
0.000014     2919 list.bag_inter_sublist_left
0.000014     2920 multiset.inter_le_left
0.000017     2921 multiset.inter_le_right
0.000015     2922 multiset.inter_le_ndinter
0.000015     2923 multiset.ndinter_eq_inter
0.000016     2924 finset.inter_val
0.000015     2925 multiset.union.equations._eqn_1
0.000016     2926 list.diff_eq_foldl
0.000016     2927 list.diff_append
0.000014     2928 multiset.sub_add'
0.000016     2929 multiset.erase_cons_head
0.000015     2930 multiset.add_sub_cancel_left
0.000015     2931 multiset.add_sub_cancel
0.000015     2932 multiset.union_add_distrib
0.000016     2933 quotient.rec_on_subsingleton
0.000014     2934 quotient.rec_on_subsingleton₂._proof_1
0.000017     2935 quotient.rec_on_subsingleton₂._proof_2
0.000015     2936 quotient.rec_on_subsingleton₂
0.000014     2937 decidable_of_iff'
0.000017     2938 list.cons_perm_iff_perm_erase
0.000015     2939 list.decidable_perm._main
0.000016     2940 list.decidable_perm
0.000015     2941 multiset.has_decidable_eq._main
0.000016     2942 multiset.has_decidable_eq
0.000015     2943 nat.le_of_lt_succ
0.000016     2944 nat.lt_of_succ_lt_succ
0.000015     2945 list.subperm.exists_of_length_lt
0.000016     2946 multiset.eq_of_le_of_card_le
0.000015     2947 multiset.card_lt_of_lt
0.000015     2948 multiset.lt_iff_cons_le
0.000016     2949 le_of_add_le_add_right
0.000015     2950 multiset.inter_add_distrib
0.000016     2951 multiset.add_inter_distrib
0.000015     2952 multiset.union_add_inter
0.000016     2953 finset.fold_union_inter
0.000015     2954 finset.sum_union_inter
0.000016     2955 bot_unique
0.000015     2956 eq_bot_iff
0.000016     2957 disjoint_iff
0.000015     2958 finset.disjoint_iff_inter_eq_empty
0.000016     2959 finset.sum_union
0.000015     2960 disjoint.equations._eqn_1
0.000016     2961 finset.inf_eq_inter
0.000015     2962 finset.le_iff_subset
0.000016     2963 finset.disjoint_left
0.000015     2964 finset.sdiff_disjoint
0.000016     2965 finset.union_comm
0.000015     2966 generalized_boolean_algebra
0.300261     2967 generalized_boolean_algebra.bot
0.000071     2968 generalized_boolean_algebra.le
0.000023     2969 generalized_boolean_algebra.lt
0.000015     2970 generalized_boolean_algebra.le_refl
0.000014     2971 generalized_boolean_algebra.le_trans
0.000015     2972 generalized_boolean_algebra.lt_iff_le_not_le
0.000015     2973 generalized_boolean_algebra.le_antisymm
0.000014     2974 generalized_boolean_algebra.bot_le
0.000014     2975 generalized_boolean_algebra.inf
0.000014     2976 generalized_boolean_algebra.inf_le_left
0.000014     2977 generalized_boolean_algebra.inf_le_right
0.000014     2978 generalized_boolean_algebra.le_inf
0.000014     2979 generalized_boolean_algebra.to_semilattice_inf_bot
0.000014     2980 generalized_boolean_algebra.sup
0.000019     2981 generalized_boolean_algebra.le_sup_left
0.000018     2982 generalized_boolean_algebra.le_sup_right
0.000018     2983 generalized_boolean_algebra.sup_le
0.000015     2984 generalized_boolean_algebra.to_semilattice_sup_bot
0.000017     2985 generalized_boolean_algebra.sdiff
0.000017     2986 generalized_boolean_algebra.to_has_sdiff
0.000015     2987 generalized_boolean_algebra.sup_inf_sdiff
0.000016     2988 sup_inf_sdiff
0.000017     2989 le_antisymm_iff
0.000017     2990 order_dual
0.000019     2991 order_dual.has_sup
0.000017     2992 order_dual.has_le
0.000016     2993 order_dual.has_lt
0.000017     2994 order_dual.preorder._proof_1
0.000017     2995 order_dual.preorder._proof_2
0.000017     2996 order_dual.preorder._proof_3
0.000017     2997 order_dual.preorder
0.000017     2998 order_dual.partial_order._proof_1
0.000017     2999 order_dual.partial_order._proof_2
0.000017     3000 order_dual.partial_order._proof_3
0.000015     3001 order_dual.partial_order._proof_4
0.000015     3002 order_dual.partial_order
0.000016     3003 order_dual.semilattice_sup._proof_1
0.000015     3004 order_dual.semilattice_sup._proof_2
0.000015     3005 order_dual.semilattice_sup._proof_3
0.000014     3006 order_dual.semilattice_sup._proof_4
0.000017     3007 order_dual.semilattice_sup._proof_5
0.000015     3008 order_dual.semilattice_sup._proof_6
0.000015     3009 order_dual.semilattice_sup._proof_7
0.000014     3010 order_dual.semilattice_sup
0.000014     3011 le_inf_iff
0.000015     3012 inf_eq_right
0.000016     3013 sup_sdiff_of_le
0.000016     3014 finset.distrib_lattice._proof_1
0.000014     3015 finset.distrib_lattice._proof_2
0.000016     3016 finset.distrib_lattice._proof_3
0.000016     3017 finset.distrib_lattice._proof_4
0.000014     3018 finset.distrib_lattice._proof_5
0.000016     3019 finset.distrib_lattice._proof_6
0.000016     3020 finset.distrib_lattice._proof_7
0.000014     3021 finset.distrib_lattice._proof_8
0.000016     3022 finset.distrib_lattice._proof_9
0.000016     3023 finset.distrib_lattice._proof_10
0.000014     3024 imp_true_iff
0.000017     3025 finset.distrib_lattice._proof_11
0.000015     3026 finset.distrib_lattice
0.000015     3027 finset.generalized_boolean_algebra._proof_1
0.000016     3028 finset.generalized_boolean_algebra._proof_2
0.000015     3029 finset.generalized_boolean_algebra._proof_3
0.000014     3030 finset.generalized_boolean_algebra._proof_4
0.000017     3031 finset.generalized_boolean_algebra._proof_5
0.000015     3032 finset.generalized_boolean_algebra._proof_6
0.000017     3033 finset.generalized_boolean_algebra._proof_7
0.000015     3034 finset.generalized_boolean_algebra._proof_8
0.000014     3035 distrib_lattice.inf
0.000016     3036 distrib_lattice.inf_le_left
0.000015     3037 finset.generalized_boolean_algebra._proof_9
0.000016     3038 distrib_lattice.inf_le_right
0.000016     3039 finset.generalized_boolean_algebra._proof_10
0.000014     3040 distrib_lattice.le_inf
0.000016     3041 finset.generalized_boolean_algebra._proof_11
0.000016     3042 distrib_lattice.le_sup_inf
0.000014     3043 finset.generalized_boolean_algebra._proof_12
0.000017     3044 finset.sup_eq_union
0.000015     3045 decidable.or_iff_not_imp_left
0.000015     3046 or_iff_not_imp_left
0.000016     3047 decidable.not_and_distrib'
0.000015     3048 finset.decidable_mem
0.000015     3049 finset.generalized_boolean_algebra._proof_13
0.000016     3050 finset.inter_assoc
0.000015     3051 list.subset.refl
0.000016     3052 list.eq_nil_iff_forall_not_mem
0.000015     3053 multiset.eq_zero_of_forall_not_mem
0.000016     3054 finset.eq_empty_of_forall_not_mem
0.000015     3055 finset.inter_sdiff_self
0.000016     3056 and_false
0.000015     3057 finset.inter_empty
0.000015     3058 finset.not_mem_empty
0.000016     3059 finset.generalized_boolean_algebra._proof_14
0.000015     3060 finset.generalized_boolean_algebra
0.000016     3061 finset.union_sdiff_of_subset
0.000016     3062 finset.sdiff_union_of_subset
0.000015     3063 finset.sum_le_sum_of_subset_of_nonneg
0.000016     3064 finset.single_le_sum
0.000015     3065 nat.succ_le_succ_iff
0.000015     3066 nat.lt_succ_iff
0.000016     3067 add_sub_cancel
0.000016     3068 add_sub
0.000014     3069 cau_seq.bounded
0.413273     3070 cau_seq.bounded'
0.000072     3071 cau_seq.has_mul._match_5
0.000024     3072 cau_seq.has_mul._proof_1
0.000015     3073 cau_seq.has_mul
0.000014     3074 is_absolute_value.abv_eq_zero
0.000014     3075 is_absolute_value.abv_zero
0.000014     3076 gt_iff_lt
0.000014     3077 cau_seq.const._proof_1
0.000015     3078 cau_seq.const
0.000014     3079 cau_seq.mul_apply
0.000014     3080 cau_seq.const_apply
0.000014     3081 neg_involutive
0.000014     3082 neg_injective
0.000014     3083 neg_inj
0.000014     3084 cau_seq.has_neg._proof_1
0.000015     3085 cau_seq.has_neg
0.000014     3086 cau_seq.add_apply
0.000016     3087 cau_seq.neg_apply
0.000017     3088 cau_seq.has_sub._proof_1
0.000017     3089 cau_seq.has_sub
0.000019     3090 subtype.cases_on
0.000017     3091 subtype.eq
0.000016     3092 cau_seq.ext
0.000017     3093 nontrivial.to_nonempty._match_1
0.000017     3094 nontrivial.to_nonempty
0.000015     3095 nat.zero_ne_one
0.000016     3096 nat.nontrivial
0.000018     3097 cau_seq.ring._proof_1
0.000016     3098 cau_seq.has_zero
0.000019     3099 cau_seq.zero_apply
0.000017     3100 cau_seq.ring._proof_2
0.000015     3101 cau_seq.ring._proof_3
0.000014     3102 cau_seq.ring._proof_4
0.000019     3103 cau_seq.ring._proof_5
0.000017     3104 cau_seq.sub_apply
0.000015     3105 cau_seq.ring._proof_6
0.000016     3106 cau_seq.ring._proof_7
0.000017     3107 cau_seq.ring._proof_8
0.000015     3108 cau_seq.ring._proof_9
0.000016     3109 cau_seq.has_one
0.000017     3110 cau_seq.one_apply
0.000018     3111 cau_seq.ring._proof_10
0.000015     3112 cau_seq.ring._proof_11
0.000014     3113 cau_seq.ring._proof_12
0.000016     3114 cau_seq.ring._proof_13
0.000015     3115 cau_seq.ring._proof_14
0.000017     3116 cau_seq.ring._proof_15
0.000015     3117 cau_seq.ring
0.000016     3118 cau_seq.zero_lim_zero
0.000015     3119 neg_one_mul
0.000016     3120 cau_seq.mul_lim_zero_right
0.000015     3121 cau_seq.neg_lim_zero
0.000017     3122 cau_seq.add_lim_zero
0.000015     3123 cau_seq.equiv._proof_1
0.000016     3124 cau_seq.equiv
0.000015     3125 cau_seq.completion.Cauchy
0.000017     3126 int
0.000015     3127 acc
0.000016     3128 well_founded
0.000015     3129 acc.rec_on
0.000016     3130 well_founded.fix_F
0.000015     3131 well_founded.apply
0.000016     3132 well_founded.fix._proof_1
0.000015     3133 well_founded.fix
0.000016     3134 has_well_founded
0.000015     3135 has_well_founded.r
0.000016     3136 psigma.lex
0.000015     3137 psigma.lex.rec_on
0.000017     3138 heq.rec_on
0.000015     3139 eq_of_heq
0.000014     3140 psigma.lex_accessible
0.000016     3141 psigma.lex_wf
0.000015     3142 has_well_founded.wf
0.000016     3143 psigma.has_well_founded._proof_1
0.000015     3144 psigma.has_well_founded
0.000017     3145 has_sizeof
0.000014     3146 inv_image
0.000017     3147 measure
0.000015     3148 has_sizeof.sizeof
0.000016     3149 sizeof
0.000015     3150 sizeof_measure
0.000016     3151 _private.4014471427.acc_aux
0.000015     3152 inv_image.accessible
0.000016     3153 inv_image.wf
0.000015     3154 nat.not_lt_zero
0.000016     3155 eq.substr
0.000015     3156 acc.inv
0.000016     3157 nat.lt_wf
0.000015     3158 measure_wf
0.000016     3159 sizeof_measure_wf
0.000015     3160 has_well_founded_of_has_sizeof
0.000016     3161 nat.sizeof._main
0.000015     3162 nat.sizeof
0.000014     3163 nat.has_sizeof
0.000016     3164 has_mod
0.000015     3165 has_mod.mod
0.000016     3166 nat.pred_le
0.000015     3167 nat.sub_le
0.000016     3168 nat.sub_lt
0.000015     3169 _private.757066717.div_rec_lemma
0.000016     3170 _private.1846598367.mod.F
0.000015     3171 nat.mod
0.000015     3172 nat.has_mod
0.000016     3173 nat.sizeof._main.equations._eqn_1
0.000015     3174 nat.sizeof.equations._eqn_1
0.000016     3175 gcd._main._pack._wf_rec_mk_dec_tactic._aux_1
0.000015     3176 or.by_cases
0.000015     3177 decidable.lt_or_eq_of_le
0.000016     3178 nat.strong_rec_on._proof_1
0.000015     3179 nat.strong_rec_on
0.000017     3180 nat.strong_induction_on
0.000015     3181 nat.case_strong_induction_on
0.000014     3182 dif_eq_if
0.000017     3183 acc.drec
0.000015     3184 well_founded.fix_F_eq
0.000016     3185 well_founded.fix_eq
0.000015     3186 nat.mod_def_aux
0.000014     3187 nat.mod_def
0.000017     3188 nat.zero_mod
0.000015     3189 nat.mod_eq_of_lt
0.000014     3190 nat.mod_eq_sub_mod
0.000016     3191 decidable.le_of_not_lt
0.000015     3192 decidable.not_lt
0.000016     3193 nat.mod_lt
0.000015     3194 nat.gcd._main._pack
0.000015     3195 nat.gcd._main
0.000016     3196 nat.gcd
0.000015     3197 nat.coprime
0.000014     3198 int.cases_on
0.000017     3199 int.nat_abs._main
0.000015     3200 int.nat_abs
0.000016     3201 rat
0.000015     3202 rat.cases_on
0.000016     3203 pnat
0.000015     3204 _private.2993550761.div.F
0.000016     3205 nat.div
0.000016     3206 nat.has_div
0.000016     3207 int.zero
0.000015     3208 int.has_zero
0.000016     3209 int.neg_of_nat._main
0.000015     3210 int.neg_of_nat
0.000017     3211 int.has_coe
0.000015     3212 int.neg._main
0.000016     3213 int.neg
0.000015     3214 int.has_neg
0.000016     3215 int.div._main
0.000015     3216 int.div
0.000014     3217 int.has_div
0.000016     3218 decidable.lt_or_le
0.000016     3219 nat.div_def_aux
0.000014     3220 nat.div_def
0.000016     3221 nat.div_eq_of_lt
0.000015     3222 nat.div_eq_sub_div
0.000016     3223 nat.le_of_add_le_add_right
0.000016     3224 nat.add_le_add_iff_le_right
0.073578     3225 nat.sub_lt_of_pos_le
0.000057     3226 nat.add_sub_cancel
0.000028     3227 nat.le_of_le_of_sub_le_sub_right
0.000015     3228 nat.sub_le_sub_right
0.000014     3229 nat.sub_le_sub_right_iff
0.000014     3230 nat.add_le_to_le_sub
0.000014     3231 nat.le_div_iff_mul_le
0.000015     3232 has_dvd
0.000014     3233 has_dvd.dvd
0.000014     3234 nat.has_dvd
0.000014     3235 nat.eq_zero_of_zero_dvd
0.000014     3236 nat.pos_of_dvd_of_pos
0.000014     3237 well_founded.recursion
0.000014     3238 well_founded.induction
0.000015     3239 nat.gcd.induction
0.000014     3240 nat.gcd._main._pack.equations._eqn_1
0.000014     3241 nat.gcd._main.equations._eqn_1
0.000014     3242 nat.gcd.equations._eqn_1
0.000014     3243 nat.gcd_zero_left
0.000015     3244 monoid_has_dvd
0.000014     3245 exists.intro
0.000019     3246 dvd.intro
0.000017     3247 dvd_zero
0.000015     3248 nat.semiring
0.000016     3249 dvd_refl
0.000018     3250 nat.monoid
0.000017     3251 nat.mod_zero
0.000017     3252 nat.gcd._main._pack.equations._eqn_2
0.000017     3253 nat.gcd._main.equations._eqn_2
0.000017     3254 nat.gcd.equations._eqn_2
0.000015     3255 nat.gcd_zero_right
0.000016     3256 nat.gcd_rec
0.000017     3257 nat.dvd_add
0.000015     3258 nat.mul_pred_left
0.000016     3259 nat.mul_sub_right_distrib
0.000018     3260 nat.mul_sub_left_distrib
0.000017     3261 nat.add_sub_cancel_left
0.000015     3262 nat.dvd_add_iff_right
0.000018     3263 nat.dvd_add_iff_left
0.000017     3264 nat.dvd_trans
0.000015     3265 nat.dvd_mul_right
0.000016     3266 decidable.em
0.000014     3267 nat.add_sub_assoc
0.000017     3268 nat.mod_add_div
0.000014     3269 nat.dvd_mod_iff
0.000017     3270 nat.gcd_dvd
0.000015     3271 nat.gcd_dvd_right
0.000016     3272 nat.gcd_pos_of_pos_right
0.000015     3273 nat.le_of_dvd
0.000016     3274 int.nat_abs_eq
0.000015     3275 int.sub_nat_nat._match_1
0.000017     3276 int.sub_nat_nat
0.000015     3277 int.add._main
0.000016     3278 int.add
0.000015     3279 int.has_add
0.000016     3280 int.of_nat_add_of_nat
0.000015     3281 int.no_confusion_type
0.000016     3282 int.no_confusion
0.000015     3283 int.of_nat.inj
0.000016     3284 int.of_nat.inj_eq
0.000015     3285 int.of_nat_add_neg_succ_of_nat
0.000016     3286 decidable.le_or_lt
0.000015     3287 int.sub_nat_nat.equations._eqn_1
0.000016     3288 int.sub_nat_nat._match_1.equations._eqn_1
0.000016     3289 int.sub_nat_nat_of_sub_eq_zero
0.000014     3290 int.sub_nat_nat_of_le
0.000016     3291 nat.le_add_left
0.000015     3292 int.sub_nat_nat._match_1.equations._eqn_2
0.000016     3293 int.sub_nat_nat_of_sub_eq_succ
0.000015     3294 nat.succ_pred_eq_of_pos
0.000015     3295 nat.lt_of_add_lt_add_left
0.000016     3296 nat.lt_of_add_lt_add_right
0.000015     3297 nat.add_sub_of_le
0.000016     3298 nat.sub_add_cancel
0.000015     3299 nat.sub_pos_of_lt
0.000016     3300 int.sub_nat_nat_of_lt
0.000014     3301 nat.sub_eq_iff_eq_add
0.000017     3302 nat.lt_of_sub_eq_succ
0.000014     3303 int.sub_nat_nat_elim
0.000017     3304 int.sub_nat_nat_add_left
0.000014     3305 int.sub_nat_nat_add_right
0.000016     3306 int.sub_nat_nat_add_add
0.000015     3307 int.sub_nat_nat_add
0.000016     3308 int.add_assoc_aux1
0.000016     3309 int.neg_succ_of_nat_add_neg_succ_of_nat
0.000014     3310 int.neg_succ_of_nat.inj
0.000016     3311 int.neg_succ_of_nat.inj_eq
0.000015     3312 int.add_comm
0.000017     3313 int.neg_succ_of_nat_add_of_nat
0.000014     3314 int.sub_nat_nat_sub
0.000016     3315 nat.succ_sub
0.000016     3316 int.sub_nat_nat_add_neg_succ_of_nat
0.000014     3317 int.add_assoc_aux2
0.000017     3318 int.add_assoc
0.000015     3319 int.add_zero
0.000014     3320 int.zero_add
0.000017     3321 sub_neg_monoid.nsmul._default
0.000015     3322 add_group.nsmul._default
0.000014     3323 add_comm_group.nsmul._default
0.000014     3324 ring.nsmul._default
0.000015     3325 int.comm_ring._proof_1
0.000016     3326 int.comm_ring._proof_2
0.000015     3327 int.sub
0.000016     3328 int.comm_ring._proof_3
0.000015     3329 int.neg_of_nat_of_succ
0.000016     3330 nat.sub_self
0.000017     3331 int.of_nat_zero
0.000015     3332 int.sub_nat_self
0.000016     3333 int.neg_neg_of_nat_succ
0.000017     3334 int.add_left_neg
0.000015     3335 int.mul._main
0.000015     3336 int.mul
0.000016     3337 int.has_mul
0.000015     3338 int.of_nat_mul_of_nat
0.000016     3339 int.of_nat_mul_neg_succ_of_nat
0.000015     3340 int.neg_of_nat._main.equations._eqn_2
0.000016     3341 int.neg_of_nat.equations._eqn_2
0.000015     3342 int.of_nat_mul_neg_of_nat
0.000016     3343 int.neg_succ_of_nat_of_nat
0.000015     3344 int.mul_neg_succ_of_nat_neg_succ_of_nat
0.000017     3345 int.mul_comm
0.000017     3346 int.neg_of_nat_mul_of_nat
0.000015     3347 int.neg_succ_of_nat_mul_neg_of_nat
0.000016     3348 int.neg_of_nat_mul_neg_succ_of_nat
0.000015     3349 int.mul_assoc
0.000016     3350 int.one
0.000015     3351 int.has_one
0.000017     3352 int.one_mul
0.000015     3353 int.mul_one
0.000014     3354 ring.npow._default
0.000016     3355 int.comm_ring._proof_4
0.000015     3356 int.comm_ring._proof_5
0.000017     3357 int.mul_zero
0.000015     3358 int.zero_mul
0.000014     3359 int.of_nat_mul_sub_nat_nat
0.000017     3360 int.neg_of_nat_eq_sub_nat_nat_zero
0.000015     3361 int.neg_of_nat_add
0.175565     3362 int.neg_succ_of_nat_mul_sub_nat_nat
0.000057     3363 int.distrib_left
0.000024     3364 int.distrib_right
0.000015     3365 int.comm_ring
0.000014     3366 int.monoid
0.000014     3367 int.of_nat.inj_arrow
0.000015     3368 int.neg_succ_of_nat.inj_arrow
0.000014     3369 int.decidable_eq
0.000015     3370 int.nonneg
0.000014     3371 int.has_sub
0.000014     3372 int.le
0.000014     3373 int.has_le
0.000014     3374 int.lt
0.000014     3375 int.le.intro_sub
0.000014     3376 int.sub_eq_add_neg
0.000014     3377 int.add_right_neg
0.000014     3378 int.le.intro
0.000014     3379 int.le_refl
0.000014     3380 int.nonneg.elim
0.000014     3381 int.le.dest_sub
0.000018     3382 int.le.dest
0.000015     3383 int.le.elim
0.000016     3384 int.le_trans
0.000017     3385 int.has_lt
0.000017     3386 int.lt.dest
0.000018     3387 int.lt.elim
0.000016     3388 int.le_of_lt
0.000017     3389 int.coe_nat_inj
0.000017     3390 int.add_left_cancel
0.000015     3391 int.lt_irrefl
0.000016     3392 int.ne_of_lt
0.000015     3393 int.coe_nat_eq
0.000016     3394 int.add_left_comm
0.000015     3395 int.lt_add_succ
0.000016     3396 int.lt.intro
0.000016     3397 int.coe_nat_zero
0.000016     3398 int.lt_iff_le_and_ne
0.000015     3399 int.coe_nat_add
0.000014     3400 int.le_antisymm
0.000016     3401 int.lt_iff_le_not_le
0.000015     3402 int.neg_add
0.000016     3403 int.neg_neg
0.000015     3404 int.nonneg_or_nonneg_neg
0.000016     3405 int.le_total
0.000015     3406 int.decidable_nonneg
0.000016     3407 int.decidable_le
0.000015     3408 int.decidable_lt
0.000016     3409 int.linear_order
0.000015     3410 int.add_le_add_left
0.000016     3411 int.zero_lt_one
0.000014     3412 int.linear_ordered_comm_ring._proof_1
0.000017     3413 int.coe_nat_mul
0.000014     3414 int.mul_pos
0.000017     3415 linear_order.decidable_eq
0.000015     3416 int.zero_ne_one
0.000016     3417 int.nontrivial
0.000014     3418 int.linear_ordered_comm_ring
0.000017     3419 int.linear_ordered_add_comm_group
0.000015     3420 int.semiring
0.000015     3421 int.div_zero
0.000016     3422 int.ring
0.000015     3423 int.comm_monoid
0.000014     3424 int.comm_semigroup
0.000017     3425 int.add_monoid
0.000014     3426 int.zero_div
0.000024     3427 nat.div_zero
0.000015     3428 int.div_neg
0.000015     3429 neg_add
0.000014     3430 neg_mul_neg
0.000016     3431 eq_sub_of_add_eq
0.000016     3432 int.eq_succ_of_zero_lt
0.000014     3433 nat.add_div_right
0.000016     3434 nat.add_mul_div_left
0.000015     3435 nat.add_mul_div_right
0.000014     3436 int.of_nat_sub
0.000014     3437 int.coe_nat_sub
0.000015     3438 nat.div_lt_iff_lt_mul
0.000013     3439 ordered_comm_monoid
0.000015     3440 ordered_comm_monoid.mul
0.000014     3441 ordered_comm_monoid.mul_assoc
0.000016     3442 ordered_comm_monoid.one
0.000015     3443 ordered_comm_monoid.one_mul
0.000016     3444 ordered_comm_monoid.mul_one
0.000015     3445 ordered_comm_monoid.npow
0.000016     3446 ordered_comm_monoid.npow_zero'
0.000015     3447 ordered_comm_monoid.npow_succ'
0.000015     3448 ordered_comm_monoid.mul_comm
0.000016     3449 ordered_comm_monoid.to_comm_monoid
0.000015     3450 linear_ordered_comm_monoid
0.000016     3451 linear_ordered_comm_monoid.mul
0.000015     3452 linear_ordered_comm_monoid.mul_assoc
0.000015     3453 linear_ordered_comm_monoid.one
0.000016     3454 linear_ordered_comm_monoid.one_mul
0.000015     3455 linear_ordered_comm_monoid.mul_one
0.000016     3456 linear_ordered_comm_monoid.npow
0.000016     3457 linear_ordered_comm_monoid.npow_zero'
0.000014     3458 linear_ordered_comm_monoid.npow_succ'
0.000016     3459 linear_ordered_comm_monoid.mul_comm
0.000015     3460 linear_ordered_comm_monoid.le
0.000017     3461 linear_ordered_comm_monoid.lt
0.000014     3462 linear_ordered_comm_monoid.le_refl
0.000016     3463 linear_ordered_comm_monoid.le_trans
0.000016     3464 linear_ordered_comm_monoid.lt_iff_le_not_le
0.000014     3465 linear_ordered_comm_monoid.le_antisymm
0.000017     3466 linear_ordered_comm_monoid.mul_le_mul_left
0.000015     3467 linear_ordered_comm_monoid.lt_of_mul_lt_mul_left
0.000014     3468 linear_ordered_comm_monoid.to_ordered_comm_monoid
0.000016     3469 ordered_comm_monoid.le
0.000015     3470 ordered_comm_monoid.lt
0.000017     3471 ordered_comm_monoid.le_refl
0.000015     3472 ordered_comm_monoid.le_trans
0.000014     3473 ordered_comm_monoid.lt_iff_le_not_le
0.000016     3474 ordered_comm_monoid.le_antisymm
0.000015     3475 ordered_comm_monoid.to_partial_order
0.000016     3476 linear_ordered_comm_monoid_with_zero
0.000015     3477 linear_ordered_comm_monoid_with_zero.le
0.000017     3478 linear_ordered_comm_monoid_with_zero.lt
0.000015     3479 linear_ordered_comm_monoid_with_zero.le_refl
0.000014     3480 linear_ordered_comm_monoid_with_zero.le_trans
0.000016     3481 linear_ordered_comm_monoid_with_zero.lt_iff_le_not_le
0.000015     3482 linear_ordered_comm_monoid_with_zero.le_antisymm
0.000016     3483 linear_ordered_comm_monoid_with_zero.le_total
0.000016     3484 linear_ordered_comm_monoid_with_zero.decidable_le
0.000014     3485 linear_ordered_comm_monoid_with_zero.decidable_eq
0.280886     3486 linear_ordered_comm_monoid_with_zero.decidable_lt
0.000078     3487 linear_ordered_comm_monoid_with_zero.mul
0.000026     3488 linear_ordered_comm_monoid_with_zero.mul_assoc
0.000015     3489 linear_ordered_comm_monoid_with_zero.one
0.000014     3490 linear_ordered_comm_monoid_with_zero.one_mul
0.000014     3491 linear_ordered_comm_monoid_with_zero.mul_one
0.000015     3492 linear_ordered_comm_monoid_with_zero.npow
0.000014     3493 linear_ordered_comm_monoid_with_zero.npow_zero'
0.000014     3494 linear_ordered_comm_monoid_with_zero.npow_succ'
0.000014     3495 linear_ordered_comm_monoid_with_zero.mul_comm
0.000014     3496 linear_ordered_comm_monoid_with_zero.mul_le_mul_left
0.000014     3497 linear_ordered_comm_monoid_with_zero.lt_of_mul_lt_mul_left
0.000014     3498 linear_ordered_comm_monoid_with_zero.to_linear_ordered_comm_monoid
0.000014     3499 comm_semiring.to_comm_monoid
0.000020     3500 comm_semiring.to_comm_monoid_with_zero._proof_1
0.000015     3501 comm_semiring.to_comm_monoid_with_zero._proof_2
0.000017     3502 comm_semiring.to_comm_monoid_with_zero._proof_3
0.000017     3503 comm_semiring.to_comm_monoid_with_zero._proof_4
0.000017     3504 comm_semiring.to_comm_monoid_with_zero._proof_5
0.000017     3505 comm_semiring.to_comm_monoid_with_zero._proof_6
0.000016     3506 comm_semiring.to_comm_monoid_with_zero._proof_7
0.000017     3507 comm_semiring.to_comm_monoid_with_zero._proof_8
0.000017     3508 comm_semiring.to_comm_monoid_with_zero
0.000015     3509 nat.linear_ordered_comm_monoid_with_zero._proof_1
0.000014     3510 nat.linear_ordered_comm_monoid_with_zero._proof_2
0.000014     3511 decidable_eq_of_decidable_le._main
0.000015     3512 decidable_eq_of_decidable_le
0.000014     3513 decidable_lt_of_decidable_le._main
0.000015     3514 decidable_lt_of_decidable_le
0.000016     3515 le_of_not_lt
0.000018     3516 linear_ordered_comm_monoid.lt_of_mul_lt_mul_left._default
0.000015     3517 nat.linear_ordered_comm_monoid_with_zero._proof_3
0.000014     3518 nat.linear_ordered_comm_monoid_with_zero
0.000016     3519 nat.comm_monoid
0.000014     3520 nat.comm_semigroup
0.000017     3521 nat.div_eq_of_lt_le
0.000015     3522 nat.sub_le_sub_left
0.000016     3523 nat.div_mul_le_self
0.000015     3524 nat.mul_sub_div
0.000016     3525 sub_sub
0.000014     3526 int.neg_succ_of_nat_coe'
0.000017     3527 nat.sub_mul_div
0.000015     3528 int.add_mul_div_right
0.000014     3529 int.mul_div_cancel
0.000016     3530 int.mul_div_cancel_left
0.000015     3531 int.neg_div_of_dvd
0.000015     3532 int.of_nat_eq_of_nat_iff
0.000016     3533 int.coe_nat_eq_coe_nat_iff
0.000015     3534 int.coe_nat_inj'
0.000014     3535 int.coe_nat_eq_zero
0.000016     3536 int.neg_zero
0.000015     3537 int.eq_coe_of_zero_le
0.000016     3538 mul_neg_of_pos_of_neg
0.000015     3539 nonneg_of_mul_nonneg_left
0.000015     3540 int.le_of_coe_nat_le_coe_nat
0.000016     3541 int.coe_nat_le_coe_nat_of_le
0.000015     3542 int.coe_nat_le_coe_nat_iff
0.000016     3543 int.coe_nat_le
0.000015     3544 int.coe_nat_nonneg
0.000015     3545 int.lt_iff_add_one_le
0.000016     3546 int.coe_nat_succ
0.000015     3547 int.coe_nat_lt_coe_nat_iff
0.000016     3548 int.coe_nat_lt
0.000015     3549 int.coe_nat_pos
0.000016     3550 int.coe_nat_dvd
0.000015     3551 nat.gcd_dvd_left
0.000015     3552 int.nat_abs_neg
0.000015     3553 nat.le_of_mul_le_mul_left
0.000016     3554 nat.eq_of_mul_eq_mul_left
0.000015     3555 nat.eq_of_mul_eq_mul_right
0.000017     3556 nat.add_mod_right
0.000015     3557 nat.add_mul_mod_self_left
0.000016     3558 nat.mul_mod_right
0.000015     3559 nat.mod_eq_zero_of_dvd
0.000016     3560 nat.mul_div_cancel'
0.000015     3561 nat.div_mul_cancel
0.000016     3562 nat.dvd_gcd
0.000015     3563 nat.mul_mod_mul_left
0.000015     3564 nat.gcd_mul_left
0.000014     3565 nat.gcd_mul_right
0.000016     3566 nat.gcd_div
0.000015     3567 nat.zero_div
0.000016     3568 nat.div_self
0.000015     3569 nat.coprime_div_gcd_div_gcd
0.000016     3570 rat.mk_pnat._main
0.000015     3571 rat.mk_pnat
0.000016     3572 rat.add._main
0.000015     3573 rat.add
0.000016     3574 rat.has_add
0.000015     3575 nat.one_pos
0.000014     3576 nat.dvd_antisymm
0.000016     3577 nat.gcd_comm
0.000015     3578 nat.eq_zero_of_le_zero
0.000016     3579 nat.mod_one
0.000016     3580 nat.gcd_one_left
0.000014     3581 nat.gcd_one_right
0.000016     3582 nat.coprime_one_right
0.000015     3583 rat.of_int._proof_1
0.000016     3584 rat.of_int
0.000015     3585 rat.has_zero
0.000014     3586 rat.mk_nat
0.000017     3587 nat.succ_pnat
0.000015     3588 rat.mk._main
0.000014     3589 rat.mk
0.000016     3590 rat.num
0.000015     3591 rat.denom
0.000016     3592 rat.mk_pnat._main._proof_1
0.000016     3593 nat.div_one
0.000014     3594 rat.mk_pnat._main._proof_2
0.000016     3595 int.div_one
0.000015     3596 rat.mk_nat.equations._eqn_1
0.000016     3597 rat.mk_pnat._main.equations._eqn_1
0.000015     3598 rat.mk_pnat.equations._eqn_1
0.000016     3599 rat.no_confusion_type
0.000016     3600 rat.no_confusion
0.000014     3601 rat.mk'.inj
0.000017     3602 rat.mk'.inj_eq
0.000015     3603 rat.num_denom
0.000014     3604 rat.num_denom'
0.391000     3605 rat.num_denom_cases_on._main
0.000067     3606 rat.num_denom_cases_on
0.000024     3607 has_lt.lt.ne
0.000014     3608 has_lt.lt.ne'
0.000015     3609 rat.num_denom_cases_on'._proof_1
0.000014     3610 rat.num_denom_cases_on'
0.000014     3611 int.of_nat_eq_coe
0.000014     3612 rat.mk._main.equations._eqn_1
0.000014     3613 rat.mk.equations._eqn_1
0.000014     3614 rat.mk._main.equations._eqn_2
0.000014     3615 rat.mk.equations._eqn_2
0.000014     3616 nat.succ_pnat.equations._eqn_1
0.000013     3617 int.distrib
0.000019     3618 eq_neg_iff_add_eq_zero
0.000018     3619 neg_add_eq_iff_eq_add
0.000017     3620 eq_neg_of_eq_neg
0.000017     3621 eq_neg_iff_eq_neg
0.000018     3622 add_eq_zero_iff_neg_eq
0.000017     3623 neg_eq_iff_add_eq_zero
0.000017     3624 iff_eq_true_of_eq
0.000017     3625 int.add_comm_monoid
0.000017     3626 int.add_comm_semigroup
0.000017     3627 mul_right_cancel'
0.000015     3628 domain.to_cancel_monoid_with_zero._proof_1
0.000014     3629 domain.to_cancel_monoid_with_zero._proof_2
0.000016     3630 domain.to_cancel_monoid_with_zero._proof_3
0.000015     3631 domain.to_cancel_monoid_with_zero._proof_4
0.000016     3632 domain.to_cancel_monoid_with_zero._proof_5
0.000015     3633 domain.to_cancel_monoid_with_zero._proof_6
0.000016     3634 domain.to_cancel_monoid_with_zero._proof_7
0.000015     3635 domain.to_cancel_monoid_with_zero._proof_8
0.000016     3636 domain.to_cancel_monoid_with_zero._proof_9
0.000018     3637 domain.to_cancel_monoid_with_zero
0.000015     3638 lt_or_gt_of_ne
0.000016     3639 mul_neg_of_neg_of_pos
0.000015     3640 linear_ordered_ring.to_domain._proof_1
0.000016     3641 linear_ordered_ring.to_domain
0.000015     3642 int.coe_nat_ne_zero
0.000016     3643 int.mod._main
0.000015     3644 int.mod
0.000016     3645 int.has_mod
0.000015     3646 int.mod_zero
0.000016     3647 int.neg_succ_of_nat_coe
0.000015     3648 sub_sub_self
0.000016     3649 int.mod_add_div_aux
0.000018     3650 int.mod_add_div
0.000015     3651 int.mul_div_cancel_of_mod_eq_zero
0.000016     3652 int.div_mul_cancel_of_mod_eq_zero
0.000015     3653 int.mod_def
0.000016     3654 sub_add_eq_sub_sub_swap
0.000015     3655 add_sub_add_right_eq_sub
0.000016     3656 int.add_mul_mod_self
0.000015     3657 int.zero_mod
0.000017     3658 int.mul_mod_left
0.000014     3659 int.mul_mod_right
0.000017     3660 int.mod_eq_zero_of_dvd
0.000015     3661 int.div_mul_cancel
0.000016     3662 int.mul_div_cancel'
0.000014     3663 int.eq_mul_of_div_eq_right
0.000017     3664 int.eq_mul_of_div_eq_left
0.000014     3665 dvd.elim
0.000017     3666 dvd_mul_right
0.000015     3667 dvd_mul_of_dvd_left
0.000016     3668 dvd_mul_of_dvd_right
0.000015     3669 dvd_neg_of_dvd
0.000016     3670 dvd_of_dvd_neg
0.000014     3671 dvd_neg_iff_dvd
0.000016     3672 int.dvd_nat_abs
0.000016     3673 _private.3567162213.gcd_abs_dvd_left
0.000014     3674 int.mul_div_assoc
0.000016     3675 nat.eq_mul_of_div_eq_right
0.000015     3676 nat.eq_mul_of_div_eq_left
0.000016     3677 nat.mul_div_cancel
0.000015     3678 nat.mul_div_assoc
0.000016     3679 dvd_mul_left
0.000015     3680 nat.coprime.gcd_eq_one
0.000016     3681 nat.coprime.dvd_of_dvd_mul_right
0.000015     3682 nat.coprime.dvd_of_dvd_mul_left
0.000016     3683 nat.coprime.symm
0.000015     3684 int.mul_def
0.000016     3685 int.mul._main.equations._eqn_1
0.000015     3686 int.mul.equations._eqn_1
0.000038     3687 int.nat_abs._main.equations._eqn_1
0.000017     3688 int.nat_abs.equations._eqn_1
0.000018     3689 int.mul._main.equations._eqn_2
0.000016     3690 int.mul.equations._eqn_2
0.000017     3691 int.nat_abs_neg_of_nat
0.000015     3692 int.nat_abs._main.equations._eqn_2
0.000016     3693 int.nat_abs.equations._eqn_2
0.000015     3694 int.mul._main.equations._eqn_3
0.000017     3695 int.mul.equations._eqn_3
0.000014     3696 int.mul._main.equations._eqn_4
0.000017     3697 int.mul.equations._eqn_4
0.000014     3698 int.nat_abs_mul
0.000017     3699 int.nat_abs_of_nat
0.000015     3700 int.sign._main
0.000016     3701 int.sign
0.000015     3702 int.neg_eq_neg_one_mul
0.000017     3703 int.sign_mul_nat_abs
0.000014     3704 int.sign_zero
0.000017     3705 int.sign_mul
0.000014     3706 int.sign_eq_one_of_pos
0.000017     3707 rat.mk_eq
0.000015     3708 rat.lift_binop_eq
0.000014     3709 rat.mk_pnat_eq
0.000016     3710 mul_ne_zero_iff
0.000015     3711 mul_ne_zero
0.000017     3712 rat.add_def
0.000015     3713 int.add_semigroup
0.000014     3714 rat.add_assoc
0.000014     3715 int.nat_abs_zero
0.000017     3716 euclidean_domain
0.000015     3717 euclidean_domain.add
0.000014     3718 euclidean_domain.add_assoc
0.000016     3719 euclidean_domain.zero
0.000016     3720 euclidean_domain.zero_add
0.000014     3721 euclidean_domain.add_zero
0.000016     3722 euclidean_domain.nsmul
0.000015     3723 euclidean_domain.nsmul_zero'
0.000016     3724 euclidean_domain.nsmul_succ'
0.000016     3725 euclidean_domain.neg
0.000014     3726 euclidean_domain.sub
0.000016     3727 euclidean_domain.sub_eq_add_neg
0.000015     3728 euclidean_domain.add_left_neg
0.000016     3729 euclidean_domain.add_comm
0.000015     3730 euclidean_domain.mul
0.000016     3731 euclidean_domain.mul_assoc
0.584333     3732 euclidean_domain.one
0.000076     3733 euclidean_domain.one_mul
0.000024     3734 euclidean_domain.mul_one
0.000014     3735 euclidean_domain.npow
0.000015     3736 euclidean_domain.npow_zero'
0.000014     3737 euclidean_domain.npow_succ'
0.000014     3738 euclidean_domain.left_distrib
0.000014     3739 euclidean_domain.right_distrib
0.000014     3740 euclidean_domain.mul_comm
0.000014     3741 euclidean_domain.to_comm_ring
0.000014     3742 int.div_add_mod
0.000014     3743 int.euclidean_domain._proof_1
0.000014     3744 int.euclidean_domain._proof_2
0.000014     3745 int.nat_abs_of_nonneg
0.000014     3746 int.coe_zero_le
0.000014     3747 sub_le_sub_iff_left
0.000017     3748 sub_nonneg
0.000015     3749 sub_nonneg_of_le
0.000016     3750 int.eq_zero_of_nat_abs_eq_zero
0.000017     3751 int.nat_abs_pos_of_ne_zero
0.000017     3752 int.mod_nonneg
0.000015     3753 linear_ordered_add_comm_group.le
0.000016     3754 linear_ordered_add_comm_group.lt
0.000017     3755 linear_ordered_add_comm_group.le_refl
0.000017     3756 linear_ordered_add_comm_group.le_trans
0.000018     3757 linear_ordered_add_comm_group.lt_iff_le_not_le
0.000015     3758 linear_ordered_add_comm_group.le_antisymm
0.000016     3759 linear_ordered_add_comm_group.le_total
0.000017     3760 linear_ordered_add_comm_group.decidable_le
0.000015     3761 linear_ordered_add_comm_group.decidable_eq
0.000016     3762 linear_ordered_add_comm_group.decidable_lt
0.000015     3763 linear_ordered_add_comm_group.to_linear_order
0.000016     3764 abs
0.000015     3765 linear_ordered_add_comm_group.add_le_add_left
0.000016     3766 linear_ordered_add_comm_group.to_ordered_add_comm_group
0.000015     3767 eq_max
0.000016     3768 max_eq_left
0.000015     3769 neg_nonpos
0.000016     3770 abs_of_nonneg
0.000015     3771 max_comm
0.000016     3772 max_eq_right
0.000015     3773 abs_of_nonpos
0.000017     3774 int.neg_succ_lt_zero
0.000016     3775 int.abs_eq_nat_abs
0.000015     3776 is_total
0.000016     3777 is_total.total
0.000015     3778 sup_eq_right
0.000016     3779 sup_eq_left
0.000015     3780 sup_ind
0.000015     3781 has_le.le.is_total
0.000016     3782 abs_by_cases
0.000015     3783 int.mod_neg
0.000015     3784 int.mod_abs
0.000016     3785 int.coe_nat_lt_coe_nat_of_lt
0.000015     3786 add_lt_iff_neg_left
0.000014     3787 pos_of_neg_neg
0.000016     3788 neg_neg_of_pos
0.000015     3789 neg_neg_iff_pos
0.000016     3790 sub_lt_self_iff
0.000015     3791 sub_lt_self
0.000016     3792 int.mod_lt_of_pos
0.000015     3793 abs_of_neg
0.000017     3794 neg_pos
0.000015     3795 abs_zero
0.000016     3796 lt_self_iff_false
0.000016     3797 abs_of_pos
0.000015     3798 abs_pos
0.000016     3799 int.mod_lt
0.000015     3800 int.euclidean_domain._proof_3
0.000016     3801 int.euclidean_domain._proof_4
0.000015     3802 int.euclidean_domain
0.000016     3803 euclidean_domain.quotient
0.000015     3804 euclidean_domain.has_div
0.000017     3805 euclidean_domain.quotient_zero
0.000014     3806 euclidean_domain.div_zero
0.000017     3807 euclidean_domain.r
0.000014     3808 euclidean_domain.remainder
0.000017     3809 euclidean_domain.has_mod
0.000014     3810 add_neg_eq_iff_eq_add
0.000017     3811 sub_eq_iff_eq_add
0.000014     3812 sub_eq_iff_eq_add'
0.000017     3813 euclidean_domain.quotient_mul_add_remainder_eq
0.000014     3814 euclidean_domain.div_add_mod
0.000014     3815 euclidean_domain.mul_left_not_lt
0.000015     3816 euclidean_domain.remainder_lt
0.000016     3817 euclidean_domain.mod_lt
0.000015     3818 euclidean_domain.mul_div_cancel_left
0.000016     3819 euclidean_domain.mul_div_cancel
0.000015     3820 euclidean_domain.zero_div
0.000014     3821 rat.zero_mk_pnat
0.000016     3822 dite_eq_ite
0.000015     3823 rat.zero_mk_nat
0.000015     3824 rat.zero_mk
0.000016     3825 rat.mk_zero
0.000015     3826 int.semigroup
0.000016     3827 rat.div_mk_div_cancel_left
0.000015     3828 rat.zero_add
0.000016     3829 rat.add_zero
0.000015     3830 comm_ring.nsmul._default
0.000015     3831 rat.field._proof_1
0.000016     3832 rat.field._proof_2
0.000015     3833 rat.pos
0.000016     3834 rat.cop
0.000015     3835 rat.neg._proof_1
0.000016     3836 rat.neg
0.000015     3837 sub_neg_monoid.sub._default
0.000016     3838 add_group.sub._default
0.000015     3839 add_comm_group.sub._default
0.000016     3840 ring.sub._default
0.000015     3841 comm_ring.sub._default
0.000015     3842 rat.field._proof_3
0.000016     3843 rat.field._proof_4
0.000015     3844 rat.field._proof_5
0.000016     3845 rat.has_neg
0.000015     3846 rat.neg_def
0.000014     3847 rat.add_left_neg
0.000016     3848 comm_semigroup.to_is_commutative
0.000015     3849 rat.add_comm
0.000016     3850 rat.mul._main
0.000015     3851 rat.mul
0.000016     3852 rat.has_mul
0.000016     3853 rat.mul_def
0.000014     3854 rat.mul_assoc
0.000016     3855 rat.has_one
0.000015     3856 rat.one_mul
0.000016     3857 rat.mul_one
0.000015     3858 comm_ring.npow._default
0.000016     3859 rat.field._proof_6
0.000015     3860 rat.field._proof_7
0.000016     3861 rat.mul_comm
0.000015     3862 rat.add_mul
0.000017     3863 rat.mul_add
0.000017     3864 rat.inv._main
0.000015     3865 rat.inv
0.000017     3866 rat.field._proof_8
0.000015     3867 rat.field._proof_9
0.000016     3868 rat.field._proof_10
1.747506     3869 rat.mk'.inj_arrow
0.000076     3870 rat.mk_eq_zero
0.000024     3871 rat.zero_ne_one
0.000015     3872 rat.field._proof_11
0.000014     3873 rat.has_inv
0.000014     3874 rat.inv._main._proof_1
0.000014     3875 rat.inv._main.equations._eqn_2
0.000014     3876 rat.inv.equations._eqn_2
0.000015     3877 rat.inv._main._proof_2
0.000014     3878 rat.inv._main.equations._eqn_3
0.000014     3879 rat.inv.equations._eqn_3
0.000014     3880 rat.inv_def
0.000014     3881 rat.mul_inv_cancel
0.000015     3882 rat.field._proof_12
0.000014     3883 rat.field
0.000014     3884 rat.nonneg
0.000014     3885 rat.division_ring
0.000016     3886 rat.add_comm_group
0.000015     3887 rat.add_group
0.000014     3888 rat.le
0.000017     3889 partial_order.lt._default
0.000017     3890 rat.has_le
0.000018     3891 rat.le_refl
0.000018     3892 rat.add_comm_monoid
0.000015     3893 rat.add_comm_semigroup
0.000014     3894 add_semiconj_by
0.000014     3895 add_commute
0.000014     3896 add_commute.eq
0.000016     3897 add_commute.add_neg_cancel
0.000015     3898 add_commute.add_neg_cancel_assoc
0.000018     3899 add_commute.all
0.000017     3900 add_neg_cancel_comm_assoc
0.000018     3901 rat.nonneg.equations._eqn_1
0.000017     3902 nonneg_of_mul_nonneg_right
0.000018     3903 mul_nonneg
0.000017     3904 rat.mk_nonneg
0.000017     3905 le_add_of_nonneg_of_le
0.000017     3906 add_nonneg
0.000017     3907 rat.nonneg_add
0.000017     3908 rat.le_trans
0.000017     3909 rat.linear_order._proof_1
0.000015     3910 rat.nonneg_antisymm
0.000017     3911 rat.le_antisymm
0.000015     3912 neg_le_neg
0.000016     3913 neg_nonneg_of_nonpos
0.000015     3914 rat.nonneg_total
0.000017     3915 rat.le_total
0.000014     3916 rat.decidable_nonneg._proof_1
0.000017     3917 rat.decidable_nonneg
0.000015     3918 rat.decidable_eq._proof_1
0.000016     3919 rat.decidable_eq._proof_2
0.000015     3920 rat.decidable_eq._proof_3
0.000016     3921 rat.decidable_eq
0.000015     3922 rat.linear_order._proof_2
0.000017     3923 rat.linear_order
0.000015     3924 rat.le.equations._eqn_1
0.000016     3925 add_sub_add_left_eq_sub
0.000015     3926 rat.add_le_add_left
0.000014     3927 rat.linear_ordered_field._proof_1
0.000014     3928 rat.decidable_le._main
0.000015     3929 rat.decidable_le
0.000014     3930 rat.linear_ordered_field._proof_2
0.000016     3931 rat.lattice
0.000016     3932 rat.semilattice_inf
0.000014     3933 rat.partial_order
0.000016     3934 sub_zero
0.000015     3935 rat.nonneg_iff_zero_le
0.000016     3936 rat.nonneg_mul
0.000015     3937 rat.mul_nonneg
0.000016     3938 rat.preorder
0.000015     3939 rat.semiring
0.000016     3940 rat.linear_ordered_field._proof_3
0.000015     3941 rat.linear_ordered_field
0.000017     3942 field.to_euclidean_domain._proof_1
0.000015     3943 mul_div_cancel'
0.000014     3944 field.to_euclidean_domain._proof_2
0.000017     3945 field.to_euclidean_domain._match_1
0.000015     3946 field.to_euclidean_domain._match_2
0.000024     3947 field.to_euclidean_domain._proof_3
0.000018     3948 field.to_euclidean_domain._proof_4
0.000015     3949 field.to_euclidean_domain._match_3
0.000014     3950 field.to_euclidean_domain._proof_5
0.000015     3951 field.to_euclidean_domain
0.000014     3952 rat.comm_ring
0.000018     3953 rat.linear_ordered_comm_ring
0.000015     3954 rat.linear_ordered_ring
0.000016     3955 rat.linear_ordered_add_comm_group
0.000016     3956 le_abs_self
0.000014     3957 neg_le_abs_self
0.000016     3958 abs_nonneg
0.000015     3959 iff_def'
0.000014     3960 decidable.not_imp_not
0.000017     3961 decidable.not_iff_not
0.000015     3962 not_iff_not
0.000016     3963 ne_comm
0.000015     3964 has_le.le.lt_iff_ne
0.000016     3965 abs_eq_zero
0.000014     3966 max_le_iff
0.000017     3967 abs_le'
0.000014     3968 neg_le
0.000017     3969 abs_le
0.000015     3970 abs_add
0.000016     3971 neg_eq_iff_neg_eq
0.000015     3972 abs.equations._eqn_1
0.000017     3973 abs_neg
0.000014     3974 abs_eq
0.000017     3975 abs_mul
0.000014     3976 abs_is_absolute_value
0.000017     3977 real
0.000015     3978 real.cases_on
0.000016     3979 cau_seq.pos
0.000014     3980 cau_seq.has_lt
0.000017     3981 sub_neg_eq_add
0.000015     3982 sub_sub_sub_cancel_right
0.000014     3983 sub_self_div_two
0.000016     3984 has_le.le.trans_lt
0.000016     3985 sup_lt_iff
0.000014     3986 max_lt_iff
0.000016     3987 neg_lt
0.000015     3988 abs_lt
0.000016     3989 cau_seq.pos_add_lim_zero
0.000015     3990 cau_seq.lt_of_eq_of_lt
0.000014     3991 cau_seq.lt_of_lt_of_eq
0.000016     3992 _private.2149295721.lt._main
0.000015     3993 _private.2149295721.lt
0.000016     3994 real.has_lt
0.000015     3995 _private.1284997043.le
0.000017     3996 real.has_le
0.000015     3997 cau_seq.completion.mk
0.000014     3998 cau_seq.completion.of_rat
0.000016     3999 cau_seq.completion.Cauchy.has_zero
0.000015     4000 _private.2220156581.zero
0.000016     4001 real.has_zero
0.000015     4002 nnreal
0.000020     4003 ennreal
0.000018     4004 has_edist
0.000015     4005 has_edist.edist
0.000015     4006 canonically_ordered_comm_semiring.mul
0.000016     4007 canonically_ordered_comm_semiring.mul_assoc
0.000015     4008 canonically_ordered_comm_semiring.one
0.000016     4009 canonically_ordered_comm_semiring.one_mul
0.000015     4010 canonically_ordered_comm_semiring.mul_one
0.060471     4011 canonically_ordered_comm_semiring.npow
0.000056     4012 canonically_ordered_comm_semiring.npow_zero'
0.000027     4013 canonically_ordered_comm_semiring.npow_succ'
0.000015     4014 canonically_ordered_comm_semiring.zero_mul
0.000014     4015 canonically_ordered_comm_semiring.mul_zero
0.000014     4016 canonically_ordered_comm_semiring.left_distrib
0.000014     4017 canonically_ordered_comm_semiring.right_distrib
0.000015     4018 canonically_ordered_comm_semiring.mul_comm
0.000014     4019 canonically_ordered_comm_semiring.to_comm_semiring
0.000014     4020 option.bind._main
0.000015     4021 option.bind
0.000014     4022 option.map
0.000014     4023 with_top.has_add
0.000014     4024 additive
0.000017     4025 with_zero
0.000017     4026 additive.of_mul._proof_1
0.000017     4027 additive.of_mul._proof_2
0.000015     4028 additive.of_mul
0.000014     4029 additive.to_mul
0.000017     4030 additive.has_add
0.000017     4031 additive.add_semigroup
0.000015     4032 additive.add_monoid._proof_1
0.000016     4033 additive.has_zero
0.000017     4034 additive.add_zero_class._proof_1
0.000015     4035 additive.add_zero_class._proof_2
0.000016     4036 additive.add_zero_class
0.000017     4037 additive.add_monoid._proof_2
0.000017     4038 additive.add_monoid._proof_3
0.000018     4039 additive.add_monoid._proof_4
0.000018     4040 additive.add_monoid._proof_5
0.000015     4041 additive.add_monoid
0.000016     4042 additive.add_comm_monoid._proof_1
0.000017     4043 additive.add_comm_monoid._proof_2
0.000015     4044 additive.add_comm_monoid._proof_3
0.000016     4045 additive.add_comm_monoid._proof_4
0.000015     4046 additive.add_comm_monoid._proof_5
0.000015     4047 additive.add_comm_semigroup._proof_1
0.000016     4048 additive.add_comm_semigroup._proof_2
0.000015     4049 additive.add_comm_semigroup
0.000015     4050 additive.add_comm_monoid._proof_6
0.000016     4051 additive.add_comm_monoid
0.000015     4052 with_zero.has_zero
0.000016     4053 with_zero.mul_zero_class._proof_1
0.000014     4054 with_zero.mul_zero_class._proof_2
0.000016     4055 with_zero.mul_zero_class
0.000015     4056 with_zero.semigroup._match_1
0.000016     4057 with_zero.semigroup._proof_1
0.000015     4058 with_zero.semigroup
0.000016     4059 with_zero.monoid_with_zero._proof_1
0.000015     4060 with_zero.has_coe_t
0.000014     4061 with_zero.has_one
0.000017     4062 with_zero.monoid_with_zero._match_1
0.000015     4063 with_zero.monoid_with_zero._proof_2
0.000016     4064 with_zero.monoid_with_zero._match_2
0.000015     4065 with_zero.monoid_with_zero._proof_3
0.000016     4066 with_zero.monoid_with_zero._proof_4
0.000015     4067 with_zero.monoid_with_zero._proof_5
0.000015     4068 with_zero.monoid_with_zero._proof_6
0.000016     4069 with_zero.monoid_with_zero._proof_7
0.000015     4070 with_zero.monoid_with_zero._proof_8
0.000016     4071 with_zero.monoid_with_zero._proof_9
0.000015     4072 with_zero.monoid_with_zero
0.000015     4073 with_zero.comm_monoid_with_zero._proof_1
0.000016     4074 with_zero.comm_monoid_with_zero._proof_2
0.000015     4075 with_zero.comm_monoid_with_zero._proof_3
0.000015     4076 with_zero.comm_monoid_with_zero._proof_4
0.000016     4077 with_zero.comm_monoid_with_zero._proof_5
0.000015     4078 with_zero.comm_semigroup._proof_1
0.000015     4079 with_zero.mul_zero
0.000016     4080 with_zero.comm_semigroup._match_1
0.000015     4081 with_zero.comm_semigroup._proof_2
0.000016     4082 with_zero.comm_semigroup
0.000015     4083 with_zero.comm_monoid_with_zero._proof_6
0.000016     4084 with_zero.comm_monoid_with_zero._proof_7
0.000015     4085 with_zero.comm_monoid_with_zero._proof_8
0.000016     4086 with_zero.comm_monoid_with_zero
0.000015     4087 with_top.add_comm_monoid._proof_1
0.000014     4088 with_top.has_coe_t
0.000016     4089 with_top.has_zero
0.000015     4090 with_top.add_comm_monoid._proof_2
0.000016     4091 with_top.add_comm_monoid._proof_3
0.000015     4092 with_top.add_comm_monoid._proof_4
0.000016     4093 with_top.add_comm_monoid._proof_5
0.000016     4094 with_top.add_comm_monoid._proof_6
0.000014     4095 with_top.add_comm_monoid
0.000016     4096 with_top.canonically_ordered_comm_semiring._proof_1
0.000016     4097 with_top.canonically_ordered_comm_semiring._proof_2
0.000014     4098 with_top.canonically_ordered_comm_semiring._proof_3
0.000016     4099 with_top.canonically_ordered_comm_semiring._proof_4
0.000015     4100 with_top.canonically_ordered_comm_semiring._proof_5
0.000016     4101 with_top.canonically_ordered_comm_semiring._proof_6
0.000015     4102 with_top.ordered_add_comm_monoid._proof_1
0.000015     4103 with_top.ordered_add_comm_monoid._proof_2
0.000016     4104 with_top.ordered_add_comm_monoid._proof_3
0.000015     4105 with_top.ordered_add_comm_monoid._proof_4
0.000014     4106 with_top.ordered_add_comm_monoid._proof_5
0.000017     4107 with_top.ordered_add_comm_monoid._proof_6
0.000014     4108 option.has_mem
0.126196     4109 with_top.has_lt
0.000070     4110 with_top.preorder._proof_1
0.000024     4111 with_top.preorder._match_1
0.000014     4112 with_top.preorder._match_2
0.000015     4113 with_top.preorder._proof_2
0.000014     4114 option.not_mem_none
0.000014     4115 Exists.fst
0.000014     4116 exists_prop_of_false
0.000014     4117 exists_false_left
0.000014     4118 exists_false
0.000015     4119 option.mem_def
0.000014     4120 option.some.inj
0.000014     4121 option.some.inj_eq
0.000014     4122 forall_eq'
0.000014     4123 exists_eq_left'
0.000017     4124 exists_eq'
0.000019     4125 with_top.some_lt_none
0.000017     4126 with_top.some_lt_some
0.000017     4127 with_top.preorder._proof_3
0.000016     4128 with_top.preorder
0.000015     4129 with_top.partial_order._proof_1
0.000016     4130 with_top.partial_order._proof_2
0.000018     4131 with_top.partial_order._proof_3
0.000016     4132 with_top.partial_order._proof_4
0.000014     4133 with_top.partial_order
0.000016     4134 with_top.ordered_add_comm_monoid._proof_7
0.000017     4135 with_top.ordered_add_comm_monoid._proof_8
0.000018     4136 with_top.ordered_add_comm_monoid._proof_9
0.000014     4137 with_top.ordered_add_comm_monoid._proof_10
0.000017     4138 has_top
0.000014     4139 has_top.top
0.000017     4140 with_top.has_top
0.000014     4141 order_top
0.000018     4142 order_top.top
0.000015     4143 order_top.to_has_top
0.000014     4144 with_top.order_top._proof_1
0.000017     4145 with_top.order_top._proof_2
0.000015     4146 with_top.order_top._proof_3
0.000016     4147 with_top.order_top._proof_4
0.000015     4148 with_top.order_top._proof_5
0.000014     4149 with_top.order_top
0.000017     4150 with_top.none_eq_top
0.000015     4151 with_top.top_add
0.000016     4152 order_top.le
0.000015     4153 order_top.lt
0.000014     4154 order_top.le_refl
0.000016     4155 order_top.le_trans
0.000015     4156 order_top.lt_iff_le_not_le
0.000016     4157 order_top.le_antisymm
0.000015     4158 order_top.to_partial_order
0.000014     4159 order_top.le_top
0.000017     4160 le_top
0.000015     4161 top_unique
0.000014     4162 top_le_iff
0.000016     4163 with_top.add_top
0.000015     4164 with_top.coe_ne_top
0.000015     4165 with_top.top_ne_coe
0.000016     4166 with_top.some_eq_coe
0.000015     4167 option.some_inj
0.000016     4168 with_top.coe_le_coe
0.000015     4169 with_top.coe_eq_coe
0.000014     4170 with_top.le_coe_iff
0.000016     4171 with_top.coe_add
0.000016     4172 with_top.ordered_add_comm_monoid._proof_11
0.000014     4173 not_top_lt
0.000016     4174 with_top.lt_iff_exists_coe
0.000015     4175 exists_and_distrib_left
0.000016     4176 with_top.add_eq_coe
0.000016     4177 with_top.coe_lt_top
0.000014     4178 with_top.coe_lt_coe
0.000016     4179 with_top.coe_lt_iff
0.000015     4180 with_top.ordered_add_comm_monoid._proof_12
0.000015     4181 with_top.ordered_add_comm_monoid
0.000016     4182 with_top.canonically_ordered_add_monoid._proof_1
0.000015     4183 with_top.canonically_ordered_add_monoid._proof_2
0.000016     4184 with_top.canonically_ordered_add_monoid._proof_3
0.000016     4185 with_top.canonically_ordered_add_monoid._proof_4
0.000014     4186 with_top.canonically_ordered_add_monoid._proof_5
0.000017     4187 with_top.canonically_ordered_add_monoid._proof_6
0.000015     4188 with_top.order_bot._proof_1
0.000014     4189 with_top.order_bot._proof_2
0.000016     4190 with_top.order_bot._proof_3
0.000016     4191 with_top.order_bot._proof_4
0.000014     4192 with_top.order_bot._proof_5
0.000016     4193 with_top.order_bot
0.000015     4194 canonically_ordered_add_monoid.bot
0.000017     4195 canonically_ordered_add_monoid.bot_le
0.000014     4196 canonically_ordered_add_monoid.to_order_bot
0.000017     4197 with_top.canonically_ordered_add_monoid._proof_7
0.000014     4198 with_top.canonically_ordered_add_monoid._proof_8
0.000017     4199 with_top.canonically_ordered_add_monoid._proof_9
0.000015     4200 with_top.canonically_ordered_add_monoid._proof_10
0.000014     4201 with_top.canonically_ordered_add_monoid._proof_11
0.000014     4202 with_top.canonically_ordered_add_monoid._proof_12
0.000014     4203 with_top.canonically_ordered_add_monoid._proof_13
0.000014     4204 iff_true
0.000016     4205 true_iff
0.000015     4206 with_zero.coe_inj
0.000016     4207 with_top.canonically_ordered_add_monoid._match_2
0.000015     4208 with_top.canonically_ordered_add_monoid._match_1
0.000017     4209 with_top.canonically_ordered_add_monoid._proof_14
0.000015     4210 with_top.canonically_ordered_add_monoid
0.000016     4211 with_top.canonically_ordered_comm_semiring._proof_7
0.000015     4212 with_top.canonically_ordered_comm_semiring._proof_8
0.000016     4213 with_top.canonically_ordered_comm_semiring._proof_9
0.000016     4214 with_top.canonically_ordered_comm_semiring._proof_10
0.000014     4215 with_top.canonically_ordered_comm_semiring._proof_11
0.000016     4216 with_top.canonically_ordered_comm_semiring._proof_12
0.000015     4217 with_top.canonically_ordered_comm_semiring._proof_13
0.845635     4218 with_top.canonically_ordered_comm_semiring._proof_14
0.000077     4219 option.decidable_eq._match_1
0.000024     4220 option.decidable_eq._main
0.000015     4221 option.decidable_eq
0.000014     4222 coe_option
0.000014     4223 with_top.mul_zero_class._proof_1
0.000014     4224 with_top.mul_zero_class._proof_2
0.000014     4225 with_top.mul_zero_class
0.000015     4226 with_top.mul_def
0.000013     4227 with_top.top_ne_zero
0.000014     4228 option.none_bind'
0.000014     4229 option.some_bind'
0.000014     4230 with_top.top_mul
0.000014     4231 with_top.coe_eq_zero
0.000018     4232 with_top.coe_zero
0.000017     4233 with_top.no_zero_divisors
0.000015     4234 canonically_ordered_comm_semiring.eq_zero_or_eq_zero_of_mul_eq_zero
0.000017     4235 canonically_ordered_semiring.canonically_ordered_comm_semiring.to_no_zero_divisors
0.000016     4236 with_top.mul_top
0.000014     4237 with_top.coe_mul
0.000017     4238 _private.1376173507.assoc
0.000017     4239 with_top.canonically_ordered_comm_semiring._proof_15
0.000015     4240 with_top.has_one
0.000016     4241 _private.3730366445.one_mul'
0.000017     4242 with_top.canonically_ordered_comm_semiring._proof_16
0.000017     4243 option.bind_comm
0.000017     4244 _private.1416806013.comm
0.000018     4245 with_top.canonically_ordered_comm_semiring._proof_17
0.000017     4246 comm_semiring.npow._default
0.000017     4247 with_top.canonically_ordered_comm_semiring._proof_18
0.000015     4248 with_top.canonically_ordered_comm_semiring._proof_19
0.000016     4249 with_top.canonically_ordered_comm_semiring._proof_20
0.000015     4250 with_top.canonically_ordered_comm_semiring._proof_21
0.000017     4251 with_top.canonically_ordered_comm_semiring._proof_22
0.000015     4252 with_top.canonically_ordered_comm_semiring._proof_23
0.000016     4253 with_top.add_monoid._proof_1
0.000015     4254 with_top.add_monoid._proof_2
0.000016     4255 with_top.add_monoid._proof_3
0.000015     4256 with_top.add_monoid._proof_4
0.000016     4257 with_top.add_monoid._proof_5
0.000015     4258 with_top.add_monoid
0.000016     4259 le_add_of_le_of_nonneg
0.000015     4260 add_eq_zero_iff'
0.000014     4261 add_eq_zero_iff
0.000017     4262 with_top.mul_coe
0.000015     4263 _private.34982199.distrib'
0.000016     4264 with_top.canonically_ordered_comm_semiring._proof_24
0.000015     4265 with_top.canonically_ordered_comm_semiring._proof_25
0.000016     4266 with_top.canonically_ordered_comm_semiring._proof_26
0.000015     4267 with_top.canonically_ordered_comm_semiring._proof_27
0.000016     4268 with_top.canonically_ordered_comm_semiring
0.000015     4269 subtype.decidable_eq._proof_1
0.000017     4270 subtype.no_confusion_type
0.000017     4271 subtype.no_confusion
0.000015     4272 subtype.mk.inj
0.000016     4273 subtype.mk.inj_arrow
0.000015     4274 subtype.decidable_eq._proof_2
0.000014     4275 subtype.decidable_eq
0.000016     4276 real.decidable_eq
0.000015     4277 canonically_linear_ordered_add_monoid
0.000016     4278 canonically_linear_ordered_add_monoid.add
0.000015     4279 cau_seq.completion.Cauchy.has_add._proof_1
0.000015     4280 cau_seq.completion.Cauchy.has_add
0.000014     4281 _private.2640539029.add._main
0.000014     4282 _private.2640539029.add
0.000014     4283 real.has_add
0.000015     4284 nnreal.real.has_coe
0.000016     4285 _private.2640539029.add._main.equations._eqn_1
0.000015     4286 _private.2640539029.add.equations._eqn_1
0.000017     4287 real.add_cauchy
0.000015     4288 real.no_confusion_type
0.000014     4289 real.no_confusion
0.000016     4290 real.of_cauchy.inj
0.000015     4291 real.of_cauchy.inj_eq
0.000015     4292 quotient.induction_on
0.000016     4293 cau_seq.completion.mk_eq_mk
0.000015     4294 cau_seq.completion.mk_add
0.000015     4295 cau_seq.completion.Cauchy.comm_ring._proof_1
0.000016     4296 _private.1303984225.zero_def
0.000015     4297 cau_seq.completion.Cauchy.comm_ring._proof_2
0.000014     4298 cau_seq.completion.Cauchy.comm_ring._proof_3
0.000017     4299 cau_seq.completion.Cauchy.comm_ring._proof_4
0.000014     4300 cau_seq.completion.Cauchy.comm_ring._proof_5
0.000017     4301 quotient.lift_on
0.000015     4302 sub_eq_neg_add
0.000014     4303 neg_sub_neg
0.000017     4304 cau_seq.completion.Cauchy.has_neg._proof_1
0.000015     4305 cau_seq.completion.Cauchy.has_neg
0.000014     4306 cau_seq.sub_lim_zero
0.000017     4307 cau_seq.completion.Cauchy.has_sub._proof_1
0.000015     4308 cau_seq.completion.Cauchy.has_sub
0.000014     4309 cau_seq.completion.mk_sub
0.000016     4310 cau_seq.completion.mk_neg
0.000016     4311 cau_seq.completion.Cauchy.comm_ring._proof_6
0.000014     4312 cau_seq.completion.Cauchy.comm_ring._proof_7
0.000016     4313 cau_seq.completion.Cauchy.comm_ring._proof_8
0.000015     4314 cau_seq.comm_ring._proof_1
0.000016     4315 cau_seq.comm_ring._proof_2
0.000015     4316 cau_seq.comm_ring._proof_3
0.000016     4317 cau_seq.comm_ring._proof_4
0.000015     4318 cau_seq.comm_ring._proof_5
4.048507     4319 cau_seq.comm_ring._proof_6
0.000082     4320 cau_seq.comm_ring._proof_7
0.000022     4321 cau_seq.comm_ring._proof_8
0.000015     4322 cau_seq.comm_ring._proof_9
0.000014     4323 cau_seq.comm_ring._proof_10
0.000014     4324 cau_seq.comm_ring._proof_11
0.000016     4325 cau_seq.comm_ring._proof_12
0.000014     4326 cau_seq.comm_ring._proof_13
0.000014     4327 cau_seq.comm_ring._proof_14
0.000015     4328 cau_seq.comm_ring._proof_15
0.000014     4329 cau_seq.comm_ring._proof_16
0.000014     4330 cau_seq.comm_ring
0.000015     4331 cau_seq.completion.Cauchy.has_mul._proof_1
0.000014     4332 cau_seq.completion.Cauchy.has_mul
0.000014     4333 cau_seq.completion.mk_mul
0.000014     4334 cau_seq.completion.Cauchy.comm_ring._proof_9
0.000014     4335 cau_seq.completion.Cauchy.has_one
0.000015     4336 _private.2752866263.one_def
0.000014     4337 cau_seq.completion.Cauchy.comm_ring._proof_10
0.000014     4338 cau_seq.completion.Cauchy.comm_ring._proof_11
0.000018     4339 cau_seq.completion.Cauchy.comm_ring._proof_12
0.000015     4340 cau_seq.completion.Cauchy.comm_ring._proof_13
0.000016     4341 cau_seq.completion.Cauchy.comm_ring._proof_14
0.000015     4342 cau_seq.completion.Cauchy.comm_ring._proof_15
0.000017     4343 cau_seq.completion.Cauchy.comm_ring._proof_16
0.000015     4344 cau_seq.completion.Cauchy.comm_ring
0.000017     4345 real.comm_ring._proof_1
0.000014     4346 _private.2220156581.zero.equations._eqn_1
0.000018     4347 real.zero_cauchy
0.000018     4348 real.comm_ring._proof_2
0.000014     4349 real.comm_ring._proof_3
0.000017     4350 real.comm_ring._proof_4
0.000015     4351 real.comm_ring._proof_5
0.000017     4352 _private.3917730707.neg._main
0.000015     4353 _private.3917730707.neg
0.000017     4354 real.has_neg
0.000015     4355 real.comm_ring._proof_6
0.000018     4356 _private.3917730707.neg._main.equations._eqn_1
0.000015     4357 _private.3917730707.neg.equations._eqn_1
0.000015     4358 real.neg_cauchy
0.000013     4359 real.comm_ring._proof_7
0.000017     4360 real.comm_ring._proof_8
0.000015     4361 _private.1968452691.mul._main
0.000017     4362 _private.1968452691.mul
0.000015     4363 real.has_mul
0.000014     4364 _private.1968452691.mul._main.equations._eqn_1
0.000014     4365 _private.1968452691.mul.equations._eqn_1
0.000015     4366 real.mul_cauchy
0.000013     4367 real.comm_ring._proof_9
0.000017     4368 _private.2621602477.one
0.000016     4369 real.has_one
0.000017     4370 _private.2621602477.one.equations._eqn_1
0.000017     4371 real.one_cauchy
0.000015     4372 real.comm_ring._proof_10
0.000016     4373 real.comm_ring._proof_11
0.000017     4374 real.comm_ring._proof_12
0.000017     4375 real.comm_ring._proof_13
0.000015     4376 real.comm_ring._proof_14
0.000016     4377 real.comm_ring._proof_15
0.000015     4378 real.comm_ring._proof_16
0.000017     4379 real.comm_ring
0.000015     4380 real.mk
0.000016     4381 real.ind_mk
0.000015     4382 cau_seq.has_le
0.000014     4383 _private.1284997043.le.equations._eqn_1
0.000016     4384 _private.3191803835.le_def
0.000015     4385 _private.2149295721.lt._main.equations._eqn_1
0.000016     4386 _private.2149295721.lt.equations._eqn_1
0.000015     4387 real.lt_cauchy
0.000016     4388 real.mk_lt
0.000015     4389 real.cauchy
0.000017     4390 real.ext_cauchy_iff
0.000015     4391 cau_seq.completion.mk_eq
0.000014     4392 real.mk_eq
0.000016     4393 real.mk_le
0.000015     4394 cau_seq.preorder._proof_1
0.000017     4395 cau_seq.add_pos
0.000014     4396 cau_seq.lt_trans
0.000016     4397 cau_seq.preorder._match_1
0.000016     4398 cau_seq.preorder._proof_2
0.000014     4399 cau_seq.not_lim_zero_of_pos
0.000016     4400 cau_seq.lt_irrefl
0.000027     4401 cau_seq.preorder._match_2
0.000015     4402 cau_seq.preorder._proof_3
0.000014     4403 cau_seq.preorder
0.000019     4404 real.partial_order._proof_1
0.000015     4405 real.partial_order._proof_2
0.000017     4406 real.partial_order._proof_3
0.000014     4407 cau_seq.le_antisymm
0.000017     4408 real.partial_order._proof_4
0.000016     4409 real.partial_order
0.000015     4410 real.ring
0.000016     4411 real.add_comm_group
0.000015     4412 real.add_group
0.000016     4413 real.add_right_cancel_semigroup
0.000015     4414 real.preorder
0.000016     4415 real.inhabited
0.000015     4416 real.mk.equations._eqn_1
0.000015     4417 real.mk_add
0.000016     4418 real.add_lt_add_iff_left
0.000015     4419 real.ordered_ring._proof_1
0.000016     4420 semiring.add_assoc
0.000015     4421 semiring.zero_add
0.000016     4422 semiring.add_zero
0.000015     4423 semiring.nsmul
0.000016     4424 semiring.nsmul_zero'
0.000015     4425 semiring.nsmul_succ'
0.000016     4426 semiring.add_comm
0.000015     4427 semiring.to_add_comm_monoid
0.000016     4428 ring_hom
0.000017     4429 real.semiring
0.000015     4430 ring_hom.to_fun
0.000016     4431 ring_hom.has_coe_to_fun
0.000015     4432 function.comp_app
0.000016     4433 cau_seq.completion.of_rat_one
0.000015     4434 real.of_rat._proof_1
0.000016     4435 cau_seq.const_mul
0.000015     4436 cau_seq.completion.of_rat_mul
0.000016     4437 euclidean_domain.exists_pair_ne
1.311466     4438 euclidean_domain.to_nontrivial
0.000076     4439 rat.nontrivial
0.000023     4440 real.of_rat._proof_2
0.000015     4441 cau_seq.completion.of_rat_zero
0.000014     4442 real.of_rat._proof_3
0.000014     4443 cau_seq.const_add
0.000014     4444 cau_seq.completion.of_rat_add
0.000015     4445 real.of_rat._proof_4
0.000013     4446 real.of_rat
0.000014     4447 rat.ordered_ring
0.000015     4448 rat.ordered_semiring
0.000013     4449 ring_hom.map_zero'
0.000014     4450 ring_hom.map_zero
0.000014     4451 ring_hom.map_one'
0.000014     4452 ring_hom.map_one
0.000020     4453 rat.has_lt
0.000017     4454 cau_seq.const_sub
0.000016     4455 cau_seq.const_pos
0.000017     4456 cau_seq.const_lt
0.000015     4457 real.of_rat_lt
0.000016     4458 real.zero_lt_one
0.000018     4459 real.ordered_ring._proof_2
0.000017     4460 real.mk_zero
0.000018     4461 iff_of_eq
0.000017     4462 real.mk_pos
0.000017     4463 real.mk_mul
0.000017     4464 mul_le_mul
0.000017     4465 cau_seq.mul_pos
0.000015     4466 real.mul_pos
0.000016     4467 real.ordered_ring
0.000017     4468 real.ordered_semiring
0.000015     4469 real.ordered_cancel_add_comm_monoid
0.000014     4470 real.ordered_add_comm_monoid
0.000014     4471 nnreal.has_add._proof_1
0.000014     4472 nnreal.has_add
0.000016     4473 function.injective.add_semigroup._proof_1
0.000017     4474 function.injective.add_semigroup
0.000018     4475 function.injective.add_comm_semigroup._proof_1
0.000015     4476 function.injective.add_comm_semigroup._proof_2
0.000016     4477 function.injective.add_comm_semigroup
0.000017     4478 function.injective.add_comm_monoid._proof_1
0.000017     4479 function.injective.add_monoid._proof_1
0.000016     4480 function.injective.add_zero_class._proof_1
0.000018     4481 function.injective.add_zero_class._proof_2
0.000017     4482 function.injective.add_zero_class
0.000017     4483 function.injective.add_monoid._proof_2
0.000016     4484 function.injective.add_monoid._proof_3
0.000017     4485 function.injective.add_monoid._proof_4
0.000017     4486 function.injective.add_monoid._proof_5
0.000015     4487 function.injective.add_monoid._proof_6
0.000014     4488 function.injective.add_monoid._proof_7
0.000017     4489 function.injective.add_monoid
0.000015     4490 function.injective.add_comm_monoid._proof_2
0.000016     4491 function.injective.add_comm_monoid._proof_3
0.000015     4492 function.injective.add_comm_monoid._proof_4
0.000016     4493 function.injective.add_comm_monoid._proof_5
0.000015     4494 function.injective.add_comm_monoid._proof_6
0.000015     4495 function.injective.add_comm_monoid
0.000016     4496 function.injective.semiring._proof_1
0.000015     4497 function.injective.semigroup._proof_1
0.000016     4498 function.injective.semigroup
0.000015     4499 function.injective.monoid._proof_1
0.000014     4500 function.injective.mul_one_class._proof_1
0.000016     4501 function.injective.mul_one_class._proof_2
0.000016     4502 function.injective.mul_one_class
0.000014     4503 function.injective.monoid._proof_2
0.000016     4504 function.injective.monoid._proof_3
0.000015     4505 function.injective.monoid._proof_4
0.000016     4506 function.injective.monoid._proof_5
0.000015     4507 function.injective.monoid._proof_6
0.000015     4508 function.injective.monoid._proof_7
0.000016     4509 function.injective.monoid
0.000015     4510 function.injective.monoid_with_zero._proof_1
0.000016     4511 function.injective.monoid_with_zero._proof_2
0.000016     4512 function.injective.monoid_with_zero._proof_3
0.000014     4513 function.injective.monoid_with_zero._proof_4
0.000016     4514 function.injective.monoid_with_zero._proof_5
0.000015     4515 function.injective.mul_zero_class._proof_1
0.000014     4516 function.injective.mul_zero_class._proof_2
0.000017     4517 function.injective.mul_zero_class
0.000015     4518 function.injective.monoid_with_zero._proof_6
0.000014     4519 function.injective.monoid_with_zero._proof_7
0.000016     4520 function.injective.monoid_with_zero
0.000016     4521 function.injective.semiring._proof_2
0.000014     4522 function.injective.semiring._proof_3
0.000016     4523 function.injective.semiring._proof_4
0.000016     4524 function.injective.semiring._proof_5
0.000014     4525 function.injective.semiring._proof_6
0.000016     4526 function.injective.semiring._proof_7
0.000015     4527 function.injective.semiring._proof_8
0.000016     4528 function.injective.semiring._proof_9
0.000015     4529 function.injective.semiring._proof_10
0.000016     4530 function.injective.semiring._proof_11
0.000015     4531 function.injective.semiring._proof_12
0.000016     4532 function.injective.semiring._proof_13
0.000015     4533 function.injective.distrib._proof_1
0.000016     4534 function.injective.distrib._proof_2
0.000015     4535 function.injective.distrib
0.000017     4536 function.injective.semiring._proof_14
0.000015     4537 function.injective.semiring._proof_15
0.646642     4538 function.injective.semiring
0.000078     4539 function.injective.comm_semiring._proof_1
0.000024     4540 function.injective.comm_semiring._proof_2
0.000015     4541 function.injective.comm_semiring._proof_3
0.000014     4542 function.injective.comm_semiring._proof_4
0.000015     4543 function.injective.comm_semiring._proof_5
0.000015     4544 function.injective.comm_semiring._proof_6
0.000014     4545 function.injective.comm_semiring._proof_7
0.000014     4546 function.injective.comm_semiring._proof_8
0.000015     4547 function.injective.comm_semiring._proof_9
0.000014     4548 function.injective.comm_semiring._proof_10
0.000013     4549 function.injective.comm_semiring._proof_11
0.000018     4550 function.injective.comm_semiring._proof_12
0.000017     4551 function.injective.comm_semiring._proof_13
0.000015     4552 function.injective.comm_semiring._proof_14
0.000016     4553 function.injective.comm_semiring._proof_15
0.000015     4554 function.injective.comm_semigroup._proof_1
0.000017     4555 function.injective.comm_semigroup._proof_2
0.000017     4556 function.injective.comm_semigroup
0.000018     4557 function.injective.comm_semiring._proof_16
0.000016     4558 function.injective.comm_semiring
0.000017     4559 comm_ring.to_comm_semiring._proof_1
0.000017     4560 comm_ring.to_comm_semiring._proof_2
0.000017     4561 comm_ring.to_comm_semiring
0.000016     4562 real.comm_semiring
0.000014     4563 nnreal.has_zero._proof_1
0.000016     4564 nnreal.has_zero
0.000016     4565 nnreal.has_one
0.000014     4566 nnreal.has_mul._proof_1
0.000016     4567 nnreal.has_mul
0.000015     4568 coe_subtype
0.000016     4569 subtype.ext
0.000015     4570 subtype.coe_injective
0.000017     4571 nnreal.coe_injective
0.000015     4572 nnreal.comm_semiring._proof_1
0.000016     4573 nnreal.comm_semiring._proof_2
0.000015     4574 nnreal.comm_semiring._proof_3
0.000016     4575 nnreal.comm_semiring._proof_4
0.000015     4576 nnreal.comm_semiring._proof_5
0.000016     4577 nnreal.comm_semiring._proof_6
0.000016     4578 nnreal.comm_semiring._proof_7
0.000014     4579 nnreal.comm_semiring._proof_8
0.000016     4580 nnreal.comm_semiring._proof_9
0.000016     4581 nnreal.comm_semiring._proof_10
0.000014     4582 nnreal.comm_semiring._proof_11
0.000016     4583 nnreal.comm_semiring._proof_12
0.000015     4584 nnreal.comm_semiring._proof_13
0.000015     4585 nnreal.comm_semiring._proof_14
0.000016     4586 nnreal.comm_semiring._proof_15
0.000015     4587 nnreal.comm_semiring._proof_16
0.000014     4588 nnreal.comm_semiring._proof_17
0.000017     4589 nnreal.comm_semiring._proof_18
0.000014     4590 nnreal.comm_semiring._proof_19
0.000017     4591 nnreal.comm_semiring._proof_20
0.000015     4592 nnreal.comm_semiring
0.000014     4593 nnreal.has_bot
0.000017     4594 preorder.lift._proof_1
0.000015     4595 preorder.lift._proof_2
0.000014     4596 preorder.lift._proof_3
0.000016     4597 preorder.lift
0.000015     4598 partial_order.lift._proof_1
0.000017     4599 partial_order.lift._proof_2
0.000015     4600 partial_order.lift._proof_3
0.000015     4601 partial_order.lift._proof_4
0.000016     4602 partial_order.lift
0.000015     4603 linear_order.lift._proof_1
0.000016     4604 linear_order.lift._proof_2
0.000016     4605 linear_order.lift._proof_3
0.000014     4606 linear_order.lift._proof_4
0.000017     4607 linear_order.lift._proof_5
0.000015     4608 eq.decidable
0.000014     4609 has_lt.lt.decidable
0.000017     4610 linear_order.lift
0.000014     4611 ge_iff_le
0.000017     4612 cau_seq.abv_pos_of_not_lim_zero
0.000014     4613 le_neg_add_iff_add_le
0.000016     4614 le_sub_iff_add_le'
0.000015     4615 le_sub_iff_add_le
0.000017     4616 neg_add_le_iff_le_add
0.000015     4617 neg_add_le_iff_le_add'
0.000016     4618 neg_le_sub_iff_le_add
0.000015     4619 neg_le_sub_iff_le_add'
0.000014     4620 add_le_add_iff_right
0.000017     4621 sub_le_sub_iff_right
0.000015     4622 neg_eq_zero_sub
0.000016     4623 zero_sub
0.000015     4624 cau_seq.trichotomy
0.000015     4625 cau_seq.lt_total
0.000016     4626 cau_seq.le_total
0.000014     4627 real.linear_order._proof_1
0.000017     4628 real.linear_order
0.000015     4629 nnreal.linear_order
0.000014     4630 nnreal.order_bot._match_1
0.000017     4631 nnreal.order_bot._proof_1
0.000014     4632 nnreal.order_bot
0.000014     4633 nnreal.canonically_linear_ordered_add_monoid._proof_1
0.000014     4634 nnreal.canonically_linear_ordered_add_monoid._proof_2
0.000015     4635 real.has_sub
0.000014     4636 real.ordered_add_comm_group
0.000016     4637 real.add_monoid
0.000016     4638 nnreal.eq
0.000014     4639 add_sub_cancel'
0.000016     4640 add_sub_cancel'_right
0.000015     4641 nnreal.canonically_linear_ordered_add_monoid._match_1
0.000014     4642 nnreal.canonically_linear_ordered_add_monoid._match_2
0.000017     4643 nnreal.canonically_linear_ordered_add_monoid._match_3
0.000015     4644 nnreal.canonically_linear_ordered_add_monoid._proof_3
0.000014     4645 nnreal.canonically_linear_ordered_add_monoid
0.903690     4646 canonically_linear_ordered_add_monoid.add_assoc
0.000078     4647 canonically_linear_ordered_add_monoid.zero
0.000024     4648 canonically_linear_ordered_add_monoid.zero_add
0.000015     4649 canonically_linear_ordered_add_monoid.add_zero
0.000014     4650 canonically_linear_ordered_add_monoid.nsmul
0.000014     4651 canonically_linear_ordered_add_monoid.nsmul_zero'
0.000015     4652 canonically_linear_ordered_add_monoid.nsmul_succ'
0.000014     4653 canonically_linear_ordered_add_monoid.add_comm
0.000014     4654 canonically_linear_ordered_add_monoid.le
0.000014     4655 canonically_linear_ordered_add_monoid.lt
0.000014     4656 canonically_linear_ordered_add_monoid.le_refl
0.000014     4657 canonically_linear_ordered_add_monoid.le_trans
0.000014     4658 canonically_linear_ordered_add_monoid.lt_iff_le_not_le
0.000014     4659 canonically_linear_ordered_add_monoid.le_antisymm
0.000015     4660 canonically_linear_ordered_add_monoid.add_le_add_left
0.000014     4661 canonically_linear_ordered_add_monoid.lt_of_add_lt_add_left
0.000014     4662 canonically_linear_ordered_add_monoid.bot
0.000014     4663 canonically_linear_ordered_add_monoid.bot_le
0.000015     4664 canonically_linear_ordered_add_monoid.le_iff_exists_add
0.000014     4665 function.injective.group_with_zero._proof_1
0.000014     4666 function.injective.group_with_zero._proof_2
0.000014     4667 function.injective.group_with_zero._proof_3
0.000015     4668 function.injective.group_with_zero._proof_4
0.000016     4669 function.injective.group_with_zero._proof_5
0.000018     4670 function.injective.group_with_zero._proof_6
0.000017     4671 function.injective.group_with_zero._proof_7
0.000018     4672 function.injective.div_inv_monoid._proof_1
0.000018     4673 function.injective.div_inv_monoid._proof_2
0.000016     4674 function.injective.div_inv_monoid._proof_3
0.000017     4675 function.injective.div_inv_monoid._proof_4
0.000017     4676 function.injective.div_inv_monoid._proof_5
0.000017     4677 function.injective.div_inv_monoid._proof_6
0.000017     4678 function.injective.div_inv_monoid
0.000015     4679 function.injective.group_with_zero._proof_8
0.000017     4680 pullback_nonzero
0.000017     4681 function.injective.group_with_zero._proof_9
0.000015     4682 function.injective.group_with_zero._proof_10
0.000014     4683 function.injective.ne
0.000017     4684 function.injective.ne_iff
0.000017     4685 function.injective.ne_iff'
0.000016     4686 function.injective.group_with_zero._proof_11
0.000014     4687 function.injective.group_with_zero
0.000016     4688 function.injective.comm_group_with_zero._proof_1
0.000016     4689 function.injective.comm_group_with_zero._proof_2
0.000016     4690 function.injective.comm_group_with_zero._proof_3
0.000015     4691 function.injective.comm_group_with_zero._proof_4
0.000015     4692 function.injective.comm_group_with_zero._proof_5
0.000016     4693 function.injective.comm_group_with_zero._proof_6
0.000015     4694 function.injective.comm_group_with_zero._proof_7
0.000016     4695 function.injective.comm_group_with_zero._proof_8
0.000016     4696 function.injective.comm_group_with_zero._proof_9
0.000014     4697 function.injective.comm_group_with_zero._proof_10
0.000016     4698 function.injective.comm_group_with_zero._proof_11
0.000015     4699 function.injective.comm_group_with_zero._proof_12
0.000015     4700 function.injective.comm_group_with_zero
0.000014     4701 real.nontrivial
0.000015     4702 real.linear_ordered_comm_ring
0.000016     4703 inv_eq_one_div
0.000015     4704 neg_eq_neg_one_mul
0.000017     4705 mul_div_assoc
0.000015     4706 mul_div_mul_right
0.000015     4707 mul_div_mul_left
0.000016     4708 div_add_div
0.000015     4709 field.to_comm_ring
0.000016     4710 div_sub_div
0.000015     4711 inv_sub_inv
0.000016     4712 ne.equations._eqn_1
0.000015     4713 is_absolute_value.abv_pos
0.000016     4714 monoid_with_zero_hom
0.000015     4715 monoid_with_zero_hom.to_fun
0.000015     4716 monoid_with_zero_hom.has_coe_to_fun
0.000016     4717 monoid_with_zero_hom.map_mul'
0.000015     4718 monoid_with_zero_hom.map_mul
0.000015     4719 monoid_with_zero_hom.map_zero'
0.000016     4720 monoid_with_zero_hom.map_zero
0.000016     4721 monoid_with_zero_hom.map_one'
0.000014     4722 monoid_with_zero_hom.map_one
0.000017     4723 monoid_with_zero_hom.map_inv'
0.000015     4724 monoid_with_zero_hom.map_div
0.000014     4725 is_absolute_value.abv_one
0.000016     4726 is_absolute_value.abv_hom
0.000015     4727 is_absolute_value.abv_div
0.000017     4728 lt_iff_lt_of_le_iff_le
0.000015     4729 div_eq_mul_one_div
0.000014     4730 one_div_pos
0.000017     4731 div_eq_iff_mul_eq
0.000014     4732 div_eq_iff
0.000017     4733 div_le_iff
0.000015     4734 lt_div_iff
0.000017     4735 div_mul_eq_mul_div
0.000014     4736 mul_mul_div
0.000017     4737 le_div_iff
0.000015     4738 div_lt_iff
0.000016     4739 div_lt_div_iff
0.000015     4740 has_lt.lt.trans_le
0.000015     4741 mul_lt_mul
2.523448     4742 div_lt_div
0.000076     4743 rat_inv_continuous_lemma
0.000024     4744 cau_seq.inv_aux
0.000015     4745 cau_seq.inv
0.000014     4746 cau_seq.lim_zero_congr
0.000014     4747 cau_seq.inv_apply
0.000015     4748 cau_seq.inv_mul_cancel
0.000014     4749 cau_seq.completion.Cauchy.has_inv._proof_1
0.000014     4750 cau_seq.completion.Cauchy.has_inv
0.000015     4751 _private.4241956523.inv'._main
0.000015     4752 _private.4241956523.inv'
0.000014     4753 real.has_inv
0.000013     4754 field.div._default
0.000015     4755 real.linear_ordered_field._proof_1
0.000013     4756 real.comm_monoid
0.000014     4757 real.comm_semigroup
0.000014     4758 _private.4241956523.inv'._main.equations._eqn_1
0.000015     4759 _private.4241956523.inv'.equations._eqn_1
0.000014     4760 real.inv_cauchy
0.000014     4761 cau_seq.completion.mk_eq_zero
0.000014     4762 cau_seq.completion.inv_mk
0.000014     4763 cau_seq.completion.inv_mul_cancel
0.000014     4764 real.linear_ordered_field._proof_2
0.000014     4765 cau_seq.completion.inv_zero
0.000018     4766 real.linear_ordered_field._proof_3
0.000017     4767 real.linear_ordered_field
0.000018     4768 real.field
0.000015     4769 nnreal.has_inv._proof_1
0.000014     4770 nnreal.has_inv
0.000014     4771 push_neg.not_and_eq
0.000014     4772 push_neg.not_le_eq
0.000014     4773 lt_asymm
0.000016     4774 has_lt.lt.asymm
0.000015     4775 nonneg_and_nonneg_or_nonpos_and_nonpos_of_mul_nnonneg
0.000017     4776 le_of_neg_le_neg
0.000015     4777 mul_le_mul_of_nonpos_right
0.000018     4778 mul_nonneg_of_nonpos_of_nonpos
0.000015     4779 mul_nonneg_iff
0.000018     4780 inv_nonpos
0.000015     4781 div_nonneg_iff
0.000018     4782 div_nonneg
0.000015     4783 nnreal.has_div._proof_1
0.000017     4784 nnreal.has_div
0.000015     4785 nnreal.comm_group_with_zero._proof_1
0.000018     4786 nnreal.comm_group_with_zero._proof_2
0.000015     4787 nnreal.comm_group_with_zero._proof_3
0.000018     4788 nnreal.comm_group_with_zero._proof_4
0.000015     4789 nnreal.comm_group_with_zero._proof_5
0.000014     4790 nnreal.comm_group_with_zero._proof_6
0.000014     4791 nnreal.comm_group_with_zero._proof_7
0.000017     4792 nnreal.comm_group_with_zero._proof_8
0.000017     4793 nnreal.comm_group_with_zero._proof_9
0.000016     4794 nnreal.comm_group_with_zero._proof_10
0.000017     4795 nnreal.comm_group_with_zero._proof_11
0.000017     4796 nnreal.comm_group_with_zero._proof_12
0.000015     4797 nnreal.comm_group_with_zero._proof_13
0.000014     4798 nnreal.comm_group_with_zero._proof_14
0.000015     4799 nnreal.comm_group_with_zero._proof_15
0.000014     4800 nnreal.comm_group_with_zero._proof_16
0.000015     4801 nnreal.comm_group_with_zero._proof_17
0.000014     4802 nnreal.comm_group_with_zero
0.000014     4803 nnreal.canonically_ordered_comm_semiring._proof_1
0.000014     4804 nnreal.canonically_ordered_comm_semiring
0.000014     4805 real.add_left_cancel_semigroup
0.000014     4806 nnreal.eq_iff
0.000014     4807 nnreal.linear_ordered_semiring._proof_1
0.000015     4808 nnreal.linear_ordered_semiring._proof_2
0.000014     4809 nnreal.linear_ordered_semiring._proof_3
0.000014     4810 nnreal.linear_ordered_semiring._proof_4
0.000015     4811 canonically_linear_ordered_add_monoid.le_total
0.000016     4812 canonically_linear_ordered_add_monoid.decidable_le
0.000015     4813 canonically_linear_ordered_add_monoid.decidable_eq
0.000017     4814 canonically_linear_ordered_add_monoid.decidable_lt
0.000015     4815 nnreal.linear_ordered_semiring._proof_5
0.000016     4816 nnreal.linear_ordered_semiring
0.000015     4817 ennreal.canonically_ordered_comm_semiring
0.000016     4818 set.nonempty
0.000015     4819 set_of
0.000016     4820 upper_bounds
0.000015     4821 bdd_above
0.000016     4822 lower_bounds
0.000015     4823 bdd_below
0.000025     4824 conditionally_complete_linear_order
0.000015     4825 conditionally_complete_linear_order.le
0.000014     4826 conditionally_complete_linear_order.lt
0.000014     4827 conditionally_complete_linear_order.le_refl
0.000017     4828 conditionally_complete_linear_order.le_trans
0.000015     4829 conditionally_complete_linear_order.lt_iff_le_not_le
0.000015     4830 conditionally_complete_linear_order.le_antisymm
0.000016     4831 conditionally_complete_linear_order.le_total
0.000015     4832 conditionally_complete_linear_order.decidable_le
0.000016     4833 conditionally_complete_linear_order.decidable_eq
0.000015     4834 conditionally_complete_linear_order.decidable_lt
0.000015     4835 conditionally_complete_linear_order.to_linear_order
0.000016     4836 complete_linear_order
0.000015     4837 conditionally_complete_lattice
0.000016     4838 conditionally_complete_lattice.sup
0.000015     4839 complete_lattice
0.000015     4840 complete_lattice.sup
0.000016     4841 complete_lattice.le
0.000015     4842 complete_lattice.lt
0.000016     4843 complete_lattice.le_refl
0.000015     4844 complete_lattice.le_trans
0.000016     4845 complete_lattice.lt_iff_le_not_le
0.171009     4846 complete_lattice.le_antisymm
0.000062     4847 complete_lattice.le_sup_left
0.000025     4848 complete_lattice.le_sup_right
0.000015     4849 complete_lattice.sup_le
0.000014     4850 complete_lattice.inf
0.000015     4851 complete_lattice.inf_le_left
0.000014     4852 complete_lattice.inf_le_right
0.000014     4853 complete_lattice.le_inf
0.000014     4854 complete_lattice.Sup
0.000014     4855 complete_lattice.Inf
0.000014     4856 complete_semilattice_Sup
0.000014     4857 complete_semilattice_Sup.le
0.000015     4858 complete_semilattice_Sup.lt
0.000014     4859 complete_semilattice_Sup.le_refl
0.000018     4860 complete_semilattice_Sup.le_trans
0.000015     4861 complete_semilattice_Sup.lt_iff_le_not_le
0.000017     4862 complete_semilattice_Sup.le_antisymm
0.000016     4863 complete_semilattice_Sup.to_partial_order
0.000015     4864 complete_lattice.le_Sup
0.000016     4865 complete_lattice.Sup_le
0.000017     4866 complete_lattice.to_complete_semilattice_Sup
0.000017     4867 has_Sup
0.000018     4868 has_Sup.Sup
0.000018     4869 complete_semilattice_Sup.Sup
0.000016     4870 complete_semilattice_Sup.to_has_Sup
0.000018     4871 complete_semilattice_Sup.le_Sup
0.000017     4872 le_Sup
0.000015     4873 conditionally_complete_lattice_of_complete_lattice._proof_1
0.000016     4874 complete_semilattice_Sup.Sup_le
0.000017     4875 Sup_le
0.000015     4876 conditionally_complete_lattice_of_complete_lattice._proof_2
0.000016     4877 complete_semilattice_Inf
0.000015     4878 complete_semilattice_Inf.le
0.000014     4879 complete_semilattice_Inf.lt
0.000017     4880 complete_semilattice_Inf.le_refl
0.000015     4881 complete_semilattice_Inf.le_trans
0.000016     4882 complete_semilattice_Inf.lt_iff_le_not_le
0.000015     4883 complete_semilattice_Inf.le_antisymm
0.000035     4884 complete_semilattice_Inf.to_partial_order
0.000018     4885 complete_lattice.Inf_le
0.000015     4886 complete_lattice.le_Inf
0.000017     4887 complete_lattice.to_complete_semilattice_Inf
0.000017     4888 has_Inf
0.000023     4889 has_Inf.Inf
0.000030     4890 complete_semilattice_Inf.Inf
0.000021     4891 complete_semilattice_Inf.to_has_Inf
0.000016     4892 complete_semilattice_Inf.Inf_le
0.000014     4893 Inf_le
0.000014     4894 conditionally_complete_lattice_of_complete_lattice._proof_3
0.000017     4895 complete_semilattice_Inf.le_Inf
0.000015     4896 le_Inf
0.000014     4897 conditionally_complete_lattice_of_complete_lattice._proof_4
0.000016     4898 conditionally_complete_lattice_of_complete_lattice
0.000016     4899 complete_linear_order.sup
0.000014     4900 complete_linear_order.le
0.000016     4901 complete_linear_order.lt
0.000016     4902 complete_linear_order.le_refl
0.000014     4903 complete_linear_order.le_trans
0.000016     4904 complete_linear_order.lt_iff_le_not_le
0.000016     4905 complete_linear_order.le_antisymm
0.000014     4906 complete_linear_order.le_sup_left
0.000016     4907 complete_linear_order.le_sup_right
0.000016     4908 complete_linear_order.sup_le
0.000014     4909 complete_linear_order.inf
0.000016     4910 complete_linear_order.inf_le_left
0.000016     4911 complete_linear_order.inf_le_right
0.000014     4912 complete_linear_order.le_inf
0.000016     4913 complete_linear_order.top
0.000016     4914 complete_linear_order.le_top
0.000014     4915 complete_linear_order.bot
0.000016     4916 complete_linear_order.bot_le
0.000016     4917 complete_linear_order.Sup
0.000014     4918 complete_linear_order.le_Sup
0.000017     4919 complete_linear_order.Sup_le
0.000015     4920 complete_linear_order.Inf
0.000016     4921 complete_linear_order.Inf_le
0.000015     4922 complete_linear_order.le_Inf
0.000015     4923 complete_linear_order.to_complete_lattice
0.000016     4924 conditionally_complete_lattice.le
0.000015     4925 conditionally_complete_lattice.lt
0.000015     4926 conditionally_complete_lattice.le_refl
0.000016     4927 conditionally_complete_linear_order_of_complete_linear_order._proof_1
0.000016     4928 conditionally_complete_lattice.le_trans
0.000014     4929 conditionally_complete_linear_order_of_complete_linear_order._proof_2
0.000016     4930 conditionally_complete_lattice.lt_iff_le_not_le
0.000016     4931 conditionally_complete_linear_order_of_complete_linear_order._proof_3
0.000014     4932 conditionally_complete_lattice.le_antisymm
0.000016     4933 conditionally_complete_linear_order_of_complete_linear_order._proof_4
0.000016     4934 conditionally_complete_lattice.le_sup_left
0.000014     4935 conditionally_complete_linear_order_of_complete_linear_order._proof_5
0.000017     4936 conditionally_complete_lattice.le_sup_right
0.000015     4937 conditionally_complete_linear_order_of_complete_linear_order._proof_6
0.000014     4938 conditionally_complete_lattice.sup_le
0.000017     4939 conditionally_complete_linear_order_of_complete_linear_order._proof_7
0.000015     4940 conditionally_complete_lattice.inf
0.209640     4941 conditionally_complete_lattice.inf_le_left
0.000064     4942 conditionally_complete_linear_order_of_complete_linear_order._proof_8
0.000026     4943 conditionally_complete_lattice.inf_le_right
0.000014     4944 conditionally_complete_linear_order_of_complete_linear_order._proof_9
0.000015     4945 conditionally_complete_lattice.le_inf
0.000014     4946 conditionally_complete_linear_order_of_complete_linear_order._proof_10
0.000014     4947 conditionally_complete_lattice.Sup
0.000014     4948 conditionally_complete_lattice.Inf
0.000015     4949 conditionally_complete_lattice.le_cSup
0.000015     4950 conditionally_complete_linear_order_of_complete_linear_order._proof_11
0.000014     4951 conditionally_complete_lattice.cSup_le
0.000014     4952 conditionally_complete_linear_order_of_complete_linear_order._proof_12
0.000014     4953 conditionally_complete_lattice.cInf_le
0.000015     4954 conditionally_complete_linear_order_of_complete_linear_order._proof_13
0.000014     4955 conditionally_complete_lattice.le_cInf
0.000014     4956 conditionally_complete_linear_order_of_complete_linear_order._proof_14
0.000014     4957 complete_linear_order.le_total
0.000015     4958 complete_linear_order.decidable_le
0.000014     4959 complete_linear_order.decidable_eq
0.000014     4960 complete_linear_order.decidable_lt
0.000014     4961 conditionally_complete_linear_order_of_complete_linear_order
0.000017     4962 set.has_emptyc
0.000017     4963 conditionally_complete_linear_order_bot
0.000017     4964 semilattice_sup_top
0.000019     4965 semilattice_sup_top.sup
0.000017     4966 with_top.semilattice_sup._proof_1
0.000017     4967 with_top.semilattice_sup._proof_2
0.000016     4968 with_top.semilattice_sup._proof_3
0.000017     4969 with_top.semilattice_sup._proof_4
0.000015     4970 with_top.semilattice_sup._proof_5
0.000016     4971 option.bind_eq_some'
0.000018     4972 option.map_none'
0.000017     4973 option.map_some'
0.000018     4974 option.map_eq_some'
0.000017     4975 with_top.semilattice_sup._proof_6
0.000016     4976 with_top.semilattice_sup._proof_7
0.000017     4977 with_top.semilattice_sup._proof_8
0.000017     4978 with_top.semilattice_sup
0.000016     4979 semilattice_sup_top.le
0.000014     4980 semilattice_sup_top.lt
0.000016     4981 semilattice_sup_top.le_refl
0.000018     4982 with_top.lattice._proof_1
0.000017     4983 semilattice_sup_top.le_trans
0.000015     4984 with_top.lattice._proof_2
0.000017     4985 semilattice_sup_top.lt_iff_le_not_le
0.000017     4986 with_top.lattice._proof_3
0.000017     4987 semilattice_sup_top.le_antisymm
0.000017     4988 with_top.lattice._proof_4
0.000014     4989 semilattice_sup_top.le_sup_left
0.000017     4990 with_top.lattice._proof_5
0.000015     4991 semilattice_sup_top.le_sup_right
0.000016     4992 with_top.lattice._proof_6
0.000015     4993 semilattice_sup_top.sup_le
0.000016     4994 with_top.lattice._proof_7
0.000015     4995 semilattice_inf_top
0.000017     4996 semilattice_inf_top.inf
0.000014     4997 with_top.semilattice_inf._proof_1
0.000017     4998 with_top.semilattice_inf._proof_2
0.000015     4999 with_top.semilattice_inf._proof_3
0.000016     5000 with_top.semilattice_inf._proof_4
0.000015     5001 with_top.semilattice_inf._proof_5
0.000014     5002 option.lift_or_get._main
0.000017     5003 option.lift_or_get
0.000023     5004 option.lift_or_get._main.equations._eqn_3
0.000023     5005 option.lift_or_get.equations._eqn_3
0.000015     5006 option.lift_or_get._main.equations._eqn_4
0.000015     5007 option.lift_or_get.equations._eqn_4
0.000014     5008 with_top.semilattice_inf._proof_6
0.000016     5009 option.lift_or_get._main.equations._eqn_2
0.000015     5010 option.lift_or_get.equations._eqn_2
0.000017     5011 with_top.semilattice_inf._proof_7
0.000015     5012 with_top.has_le
0.000016     5013 with_top.some_le_some
0.000015     5014 with_top.semilattice_inf._proof_8
0.000016     5015 with_top.semilattice_inf
0.000015     5016 semilattice_inf_top.le
0.000017     5017 semilattice_inf_top.lt
0.000015     5018 semilattice_inf_top.le_refl
0.000014     5019 semilattice_inf_top.le_trans
0.000017     5020 semilattice_inf_top.lt_iff_le_not_le
0.000015     5021 semilattice_inf_top.le_antisymm
0.000015     5022 semilattice_inf_top.inf_le_left
0.000016     5023 with_top.lattice._proof_8
0.000015     5024 semilattice_inf_top.inf_le_right
0.000015     5025 with_top.lattice._proof_9
0.000016     5026 semilattice_inf_top.le_inf
0.000016     5027 with_top.lattice._proof_10
0.000014     5028 with_top.lattice
0.000024     5029 conditionally_complete_lattice.to_lattice
0.000018     5030 conditionally_complete_linear_order.sup
0.000014     5031 conditionally_complete_linear_order.le_sup_left
0.000015     5032 conditionally_complete_linear_order.le_sup_right
0.000014     5033 conditionally_complete_linear_order.sup_le
0.000014     5034 conditionally_complete_linear_order.inf
0.223599     5035 conditionally_complete_linear_order.inf_le_left
0.000063     5036 conditionally_complete_linear_order.inf_le_right
0.000024     5037 conditionally_complete_linear_order.le_inf
0.000014     5038 conditionally_complete_linear_order.Sup
0.000015     5039 conditionally_complete_linear_order.Inf
0.000014     5040 conditionally_complete_linear_order.le_cSup
0.000014     5041 conditionally_complete_linear_order.cSup_le
0.000014     5042 conditionally_complete_linear_order.cInf_le
0.000014     5043 conditionally_complete_linear_order.le_cInf
0.000014     5044 conditionally_complete_linear_order.to_conditionally_complete_lattice
0.000014     5045 conditionally_complete_linear_order_bot.sup
0.000014     5046 conditionally_complete_linear_order_bot.le
0.000014     5047 conditionally_complete_linear_order_bot.lt
0.000014     5048 conditionally_complete_linear_order_bot.le_refl
0.000014     5049 conditionally_complete_linear_order_bot.le_trans
0.000017     5050 conditionally_complete_linear_order_bot.lt_iff_le_not_le
0.000017     5051 conditionally_complete_linear_order_bot.le_antisymm
0.000015     5052 conditionally_complete_linear_order_bot.le_sup_left
0.000058     5053 conditionally_complete_linear_order_bot.le_sup_right
0.000017     5054 conditionally_complete_linear_order_bot.sup_le
0.000019     5055 conditionally_complete_linear_order_bot.inf
0.000015     5056 conditionally_complete_linear_order_bot.inf_le_left
0.000017     5057 conditionally_complete_linear_order_bot.inf_le_right
0.000017     5058 conditionally_complete_linear_order_bot.le_inf
0.000017     5059 conditionally_complete_linear_order_bot.Sup
0.000017     5060 conditionally_complete_linear_order_bot.Inf
0.000018     5061 conditionally_complete_linear_order_bot.le_cSup
0.000017     5062 conditionally_complete_linear_order_bot.cSup_le
0.000016     5063 conditionally_complete_linear_order_bot.cInf_le
0.000017     5064 conditionally_complete_linear_order_bot.le_cInf
0.000015     5065 conditionally_complete_linear_order_bot.le_total
0.000017     5066 conditionally_complete_linear_order_bot.decidable_le
0.000016     5067 conditionally_complete_linear_order_bot.decidable_eq
0.000017     5068 conditionally_complete_linear_order_bot.decidable_lt
0.000017     5069 conditionally_complete_linear_order_bot.to_conditionally_complete_linear_order
0.000015     5070 with_top.linear_order._proof_1
0.000018     5071 with_top.linear_order._proof_2
0.000017     5072 with_top.linear_order._proof_3
0.000014     5073 with_top.linear_order._proof_4
0.000017     5074 with_top.linear_order._proof_5
0.000015     5075 with_bot
0.000016     5076 with_bot.has_lt
0.000015     5077 with_bot.preorder._proof_1
0.000016     5078 with_bot.preorder._match_1
0.000015     5079 with_bot.preorder._match_2
0.000016     5080 with_bot.preorder._proof_2
0.000015     5081 with_bot.some_lt_some
0.000016     5082 with_bot.preorder._proof_3
0.000015     5083 with_bot.preorder
0.000016     5084 with_bot.has_coe_t
0.000015     5085 with_bot.coe_le_coe
0.000016     5086 with_bot.some_le_some
0.000015     5087 with_bot.decidable_le._main
0.000016     5088 with_bot.decidable_le
0.000015     5089 with_top.decidable_le
0.000016     5090 with_top.linear_order._proof_6
0.000015     5091 with_top.linear_order._proof_7
0.000014     5092 with_top.linear_order._proof_8
0.000016     5093 with_top.linear_order._proof_9
0.000015     5094 with_bot.decidable_lt._main
0.000015     5095 with_bot.decidable_lt
0.000016     5096 with_top.decidable_lt
0.000015     5097 with_top.linear_order
0.000016     5098 with_top.complete_linear_order._proof_1
0.000015     5099 with_top.complete_linear_order._proof_2
0.000015     5100 with_top.complete_linear_order._proof_3
0.000015     5101 with_top.complete_linear_order._proof_4
0.000016     5102 with_top.complete_linear_order._proof_5
0.000015     5103 with_top.complete_linear_order._proof_6
0.000015     5104 with_top.complete_linear_order._proof_7
0.000013     5105 with_top.complete_linear_order._proof_8
0.000014     5106 with_top.complete_linear_order._proof_9
0.000014     5107 with_top.complete_linear_order._proof_10
0.000014     5108 conditionally_complete_linear_order_bot.bot
0.000016     5109 conditionally_complete_linear_order_bot.bot_le
0.000015     5110 conditionally_complete_linear_order_bot.to_order_bot
0.000016     5111 with_top.complete_linear_order._proof_11
0.000015     5112 with_top.complete_linear_order._proof_12
0.000016     5113 set.decidable_mem
0.000015     5114 set.preimage
0.000017     5115 with_top.has_Sup
0.000014     5116 conditionally_complete_lattice.to_has_Sup
0.000017     5117 is_least
0.000014     5118 is_lub
0.000017     5119 decidable.not_iff_comm
0.000014     5120 not_iff_comm
0.000016     5121 set.nonempty.equations._eqn_1
0.000015     5122 set.subset
0.000016     5123 set.has_subset
0.000015     5124 eq.subset
0.000016     5125 set.ext
0.204341     5126 set.subset.antisymm
0.000076     5127 set.subset.antisymm_iff
0.000024     5128 set.empty_subset
0.000015     5129 set.subset_empty_iff
0.000014     5130 set.eq_empty_iff_forall_not_mem
0.000014     5131 set.not_nonempty_iff_eq_empty
0.000014     5132 set.ne_empty_iff_nonempty
0.000014     5133 set.eq_empty_or_nonempty
0.000014     5134 set.preimage_empty
0.000014     5135 conditionally_complete_linear_order_bot.cSup_empty
0.000014     5136 cSup_empty
0.000014     5137 is_greatest
0.000014     5138 is_glb
0.000014     5139 is_glb.equations._eqn_1
0.000013     5140 upper_bounds.equations._eqn_1
0.000014     5141 set.ball_empty_iff
0.000019     5142 set.subset_univ
0.000017     5143 set.univ_subset_iff
0.000015     5144 imp_iff_right
0.000016     5145 set.eq_univ_iff_forall
0.000018     5146 set.mem_set_of_eq
0.000017     5147 upper_bounds_empty
0.000014     5148 lower_bounds_empty
0.000017     5149 is_greatest.equations._eqn_1
0.000017     5150 set.mem_univ
0.000015     5151 set.has_singleton
0.000016     5152 set.mem_singleton_iff
0.000017     5153 order_top.upper_bounds_univ
0.000017     5154 set.mem_singleton
0.000017     5155 is_greatest_univ
0.000015     5156 is_glb_empty
0.000016     5157 order_dual.has_top
0.000017     5158 order_dual.order_top._proof_1
0.000018     5159 order_dual.order_top._proof_2
0.000016     5160 order_dual.order_top._proof_3
0.000018     5161 order_dual.order_top._proof_4
0.000016     5162 order_dual.order_top
0.000017     5163 is_lub_empty
0.000017     5164 le_cSup
0.000017     5165 with_top.not_top_le_coe
0.000014     5166 cSup_le
0.000015     5167 with_top.is_lub_Sup'
0.000016     5168 with_top.is_lub_Sup
0.000015     5169 with_top.complete_linear_order._proof_13
0.000016     5170 with_top.complete_linear_order._proof_14
0.000015     5171 with_top.has_Inf
0.000016     5172 conditionally_complete_lattice.to_has_Inf
0.000015     5173 cInf_le
0.000017     5174 le_cInf
0.000016     5175 push_neg.not_not_eq
0.000016     5176 with_top.is_glb_Inf'
0.000015     5177 with_top.is_glb_Inf
0.000016     5178 with_top.complete_linear_order._proof_15
0.000015     5179 with_top.complete_linear_order._proof_16
0.000016     5180 with_top.complete_linear_order._proof_17
0.000015     5181 classical.dec_rel
0.000014     5182 with_top.complete_linear_order._proof_18
0.000017     5183 with_top.complete_linear_order._proof_19
0.000015     5184 with_top.complete_linear_order._proof_20
0.000014     5185 with_top.complete_linear_order._proof_21
0.000016     5186 with_top.complete_linear_order
0.000016     5187 nnreal.conditionally_complete_linear_order_bot._proof_1
0.000014     5188 nnreal.conditionally_complete_linear_order_bot._proof_2
0.000016     5189 nnreal.conditionally_complete_linear_order_bot._proof_3
0.000015     5190 nnreal.conditionally_complete_linear_order_bot._proof_4
0.000015     5191 nnreal.conditionally_complete_linear_order_bot._proof_5
0.000016     5192 nnreal.conditionally_complete_linear_order_bot._proof_6
0.000015     5193 int.cast._main
0.000016     5194 int.cast
0.000015     5195 int.cast_coe
0.000014     5196 le_neg
0.000015     5197 _private.3897234211.lbp
0.000016     5198 _private.651630769.wf_lbp._match_1
0.000015     5199 nat.add_right_comm
0.000016     5200 _private.651630769.wf_lbp._match_2
0.000015     5201 _private.651630769.wf_lbp._match_3
0.000017     5202 _private.651630769.wf_lbp
0.000014     5203 nat.find_x._proof_1
0.000016     5204 nat.find_x._proof_2
0.000015     5205 nat.find_x._proof_3
0.000016     5206 nat.find_x._proof_4
0.000015     5207 nat.find_x._proof_5
0.000016     5208 nat.find_x
0.000015     5209 nat.find
0.000016     5210 nat.find_spec
0.000015     5211 nat.find_min
0.000016     5212 nat.find_min'
0.000015     5213 int.exists_least_of_bdd
0.000016     5214 int.exists_greatest_of_bdd
0.000015     5215 real.linear_ordered_ring
0.000016     5216 has_scalar
0.000015     5217 has_scalar.smul
0.000016     5218 add_monoid.has_scalar_nat
0.000015     5219 archimedean
0.000016     5220 coe_trans
0.000016     5221 coe_coe
0.000014     5222 add_monoid_hom.congr_fun
0.000016     5223 nat.cast_zero
0.000015     5224 nat.cast_add_monoid_hom._proof_1
0.000016     5225 nat.cast_add
0.000015     5226 nat.cast_add_monoid_hom
0.000016     5227 add_monoid_hom.cases_on
0.000015     5228 add_monoid_hom.coe_inj
0.000016     5229 add_monoid_hom.ext
0.000016     5230 add_monoid_hom.map_zero'
0.000014     5231 add_monoid_hom.map_zero
0.000016     5232 add_monoid_hom.map_add'
0.000016     5233 add_monoid_hom.map_add
0.000014     5234 add_monoid_hom.ext_nat
0.000017     5235 nat.cast_one
0.000015     5236 add_monoid_hom.eq_nat_cast
0.000014     5237 zero_nsmul
0.000016     5238 semiconj_by
0.000016     5239 commute
0.000016     5240 commute.symm
0.000015     5241 semiconj_by.equations._eqn_1
0.000016     5242 semiconj_by.one_right
0.000015     5243 semiconj_by.eq
0.000016     5244 semiconj_by.mul_right
0.000015     5245 semiconj_by.pow_right
0.000016     5246 commute.pow_right
0.000014     5247 commute.pow_left
0.000016     5248 commute.refl
0.000016     5249 commute.pow_self
0.000014     5250 pow_mul_comm'
0.000016     5251 pow_succ'
0.000015     5252 pow_add
0.000016     5253 add_nsmul
0.000015     5254 nsmul_eq_smul
2.250385     5255 nsmul_one'
0.000079     5256 one_nsmul
0.000020     5257 nsmul_one
0.000015     5258 strict_mono.lt_iff_lt
0.000014     5259 nat.cast_lt
0.000015     5260 archimedean.arch
0.000013     5261 exists_nat_gt
0.000015     5262 exists_int_gt
0.000014     5263 rat.cast_coe
0.000014     5264 nat.cast_succ
0.000014     5265 int.add_neg_one
0.000014     5266 int.neg_succ_sub_one
0.000014     5267 rat.coe_int_eq_mk
0.000017     5268 rat.of_int_eq_mk
0.000018     5269 rat.coe_int_eq_of_int
0.000015     5270 inv_one
0.000017     5271 div_one
0.000014     5272 rat.cast_of_int
0.000017     5273 rat.cast_coe_int
0.000018     5274 rat.cast_coe_nat
0.000015     5275 exists_rat_gt
0.000016     5276 succ_nsmul'
0.000015     5277 nsmul_eq_mul'
0.000017     5278 commute.eq
0.000017     5279 semiconj_by.zero_left
0.000017     5280 commute.zero_left
0.000017     5281 semiconj_by.add_left
0.000017     5282 commute.add_left
0.000015     5283 semiconj_by.one_left
0.000016     5284 commute.one_left
0.000017     5285 nat.cast_commute
0.000015     5286 nsmul_eq_mul
0.000016     5287 archimedean_iff_nat_lt
0.000015     5288 floor_ring
0.000014     5289 int.to_nat._main
0.000016     5290 int.to_nat
0.000017     5291 floor_ring.floor
0.000016     5292 floor
0.000017     5293 ceil
0.000015     5294 nat_ceil
0.000016     5295 rat.floor._main
0.000015     5296 rat.floor
0.000016     5297 rat.floor._main.equations._eqn_1
0.000015     5298 rat.floor.equations._eqn_1
0.000016     5299 rat.le_def
0.000015     5300 le_of_sub_nonneg
0.000017     5301 int.div_mul_le
0.000015     5302 int.mul_le_of_le_div
0.000014     5303 int.neg_add_cancel_left
0.000016     5304 int.le_of_add_le_add_left
0.000015     5305 int.le_of_add_le_add_right
0.000015     5306 int.le_of_lt_add_one
0.000016     5307 lt_of_mul_lt_mul_right
0.000015     5308 neg_add_lt_iff_lt_add
0.000016     5309 sub_lt_iff_lt_add'
0.000015     5310 int.lt_div_add_one_mul_self
0.000015     5311 int.le_div_of_mul_le
0.000014     5312 int.le_div_iff_mul_le
0.000014     5313 rat.le_floor
0.000014     5314 rat.floor_ring
0.000017     5315 eq_div_iff_mul_eq
0.000015     5316 rat.denom_dvd
0.000016     5317 nat.cast_mul
0.000015     5318 int.cast_neg_of_nat
0.000017     5319 nat.cast_add_one
0.000014     5320 int.cast_mul
0.000016     5321 nat.commute_cast
0.000015     5322 int.cast_coe_nat
0.000016     5323 int.cast_zero
0.000015     5324 rat.cast_mk_of_ne_zero
0.000016     5325 nat.cast_sub
0.000015     5326 sub_left_inj
0.000017     5327 int.cast_neg_succ_of_nat
0.000015     5328 int.cast_sub_nat_nat
0.000014     5329 sub_eq_of_eq_add
0.000017     5330 nat.add_semigroup
0.000015     5331 int.cast_add
0.000014     5332 add_right_injective
0.000016     5333 add_right_inj
0.000016     5334 rat.cast_add_of_ne_zero
0.000014     5335 int.cast_neg
0.000016     5336 rat.cast_neg
0.000015     5337 rat.cast_sub_of_ne_zero
0.000014     5338 nat.cast_inj
0.000016     5339 nat.cast_eq_zero
0.000016     5340 nat.cast_ne_zero
0.000014     5341 rat.cast_sub
0.000016     5342 rat.mk_eq_div
0.000015     5343 ring_hom.map_mul'
0.000016     5344 ring_hom.to_monoid_with_zero_hom
0.000015     5345 ring_hom.map_div
0.000016     5346 int.cast_one
0.000015     5347 rat.cast_one
0.000017     5348 semiconj_by.zero_right
0.000015     5349 units.inv_mul_cancel_left
0.000016     5350 units.mul_inv_cancel_right
0.000015     5351 semiconj_by.units_inv_right
0.000016     5352 semiconj_by.inv_right'
0.000017     5353 semiconj_by.inv_right_iff'
0.000014     5354 commute.inv_right_iff'
0.000017     5355 commute.inv_right'
0.000015     5356 rat.cast_mul_of_ne_zero
0.000016     5357 rat.cast_mul
0.000015     5358 rat.cast_zero
0.000016     5359 rat.cast_add
0.000015     5360 rat.cast_hom
0.000016     5361 rat.cast_div
0.000014     5362 rat.cast_mk
0.000016     5363 int.cast_sub
0.000015     5364 nat.cast_nonneg
0.000016     5365 int.cast_nonneg
0.000015     5366 int.cast_le
0.000016     5367 rat.cast_nonneg
0.000015     5368 rat.ordered_add_comm_group
0.000016     5369 rat.cast_le
0.000015     5370 nat_ceil.equations._eqn_1
0.000016     5371 int.to_nat_eq_max
0.000015     5372 int.to_nat_le
0.000016     5373 ceil.equations._eqn_1
0.000015     5374 floor_ring.le_floor
0.000015     5375 le_floor
0.000016     5376 ceil_le
0.000015     5377 nat_ceil_le
0.000016     5378 le_nat_ceil
0.000015     5379 archimedean_iff_rat_lt
0.000016     5380 rat.cast_lt
0.000015     5381 archimedean_iff_rat_le
0.000016     5382 real.division_ring
0.000027     5383 real.mk_neg
0.000017     5384 ring_hom.map_add'
0.000014     5385 ring_hom.to_add_monoid_hom
0.000014     5386 ring_hom.eq_nat_cast
0.000019     5387 ring_hom.comp._proof_1
0.000015     5388 ring_hom.map_mul
0.000018     5389 ring_hom.comp._proof_2
0.000015     5390 ring_hom.comp._proof_3
0.000016     5391 ring_hom.map_add
0.000015     5392 ring_hom.comp._proof_4
0.000016     5393 ring_hom.comp
0.000015     5394 nat.cast_ring_hom._proof_1
0.000015     5395 nat.cast_ring_hom._proof_2
0.000016     5396 nat.cast_ring_hom._proof_3
0.000015     5397 nat.cast_ring_hom
0.000016     5398 ring_hom.map_nat_cast
0.000015     5399 int.cast_add_hom._proof_1
0.000016     5400 int.cast_add_hom
0.000015     5401 add_monoid_hom.ext_iff
0.000016     5402 add_monoid_hom.comp._proof_1
0.000015     5403 has_zero.nonempty
0.000016     5404 add_monoid_hom.comp._proof_2
0.000015     5405 add_monoid_hom.comp
0.000016     5406 ring_hom.has_coe_add_monoid_hom
3.903788     5407 int.of_nat_hom._proof_1
0.000076     5408 int.of_nat_mul
0.000024     5409 int.of_nat_hom._proof_2
0.000014     5410 int.of_nat_add
0.000015     5411 int.of_nat_hom
0.000014     5412 add_monoid_hom.map_add_eq_zero
0.000015     5413 add_neg_self
0.000014     5414 add_monoid_hom.eq_on_neg
0.000014     5415 add_monoid_hom.ext_int
0.000014     5416 int.coe_cast_add_hom
0.000014     5417 add_monoid_hom.eq_int_cast_hom
0.000014     5418 add_monoid_hom.eq_int_cast
0.000015     5419 ring_hom.eq_int_cast
0.000014     5420 int.cast_ring_hom._proof_1
0.000014     5421 int.cast_ring_hom._proof_2
0.000014     5422 int.cast_ring_hom._proof_3
0.000014     5423 int.cast_ring_hom
0.000017     5424 ring_hom.map_int_cast
0.000017     5425 ring_hom.eq_rat_cast
0.000018     5426 real.of_rat_eq_cast
0.000016     5427 rat.ordered_cancel_add_comm_monoid
0.000018     5428 rat.ordered_add_comm_monoid
0.000017     5429 real.le_mk_of_forall_le
0.000016     5430 real.mk_le_of_forall_le
0.000018     5431 real.archimedean._match_1
0.000015     5432 real.archimedean
0.000014     5433 exists_int_lt
0.000016     5434 exists_floor
0.000016     5435 archimedean.floor_ring._proof_1
0.000016     5436 archimedean.floor_ring
0.000015     5437 real.floor_ring
0.000015     5438 floor_le
0.000016     5439 real.linear_ordered_semiring
0.000015     5440 nat.cast_pos
0.000015     5441 strict_mono.le_iff_le
0.000016     5442 nat.cast_le
0.000015     5443 ring_hom.map_inv
0.000015     5444 rat.cast_inv
0.000016     5445 sub_lt_iff_lt_add
0.000015     5446 int.succ
0.000017     5447 int.succ.equations._eqn_1
0.000015     5448 floor_lt
0.000014     5449 int.lt_succ_self
0.000016     5450 lt_succ_floor
0.000016     5451 lt_floor_add_one
0.000016     5452 sub_one_lt_floor
0.000015     5453 one_div
0.000015     5454 div_eq_inv_mul
0.000016     5455 inv_le_inv
0.000015     5456 inv_le
0.000014     5457 densely_ordered
0.000016     5458 densely_ordered.dense
0.000015     5459 exists_between
0.000016     5460 le_of_forall_ge_of_dense
0.000015     5461 mul_two
0.000015     5462 add_self_div_two
0.000016     5463 div_lt_div_of_lt
0.000015     5464 linear_ordered_field.to_densely_ordered
0.000015     5465 le_sub
0.000016     5466 real.exists_sup
0.000015     5467 real.has_Sup._proof_1
0.000016     5468 real.has_Sup
0.000016     5469 set.image
0.000016     5470 set.mem_image
0.000016     5471 set.mem_empty_eq
0.000014     5472 set.image_empty
0.000016     5473 exists_const
0.000016     5474 real.Sup_empty
0.000014     5475 le_cSup_of_le
0.000016     5476 real.lattice
0.000016     5477 real.has_Inf
0.000014     5478 real.Sup_def
0.000016     5479 real.Sup_le
0.000015     5480 real.le_Sup
0.000015     5481 real.conditionally_complete_linear_order._proof_1
0.000016     5482 real.Sup_le_ub
0.000015     5483 real.conditionally_complete_linear_order._proof_2
0.000016     5484 real.le_Inf
0.000016     5485 real.Inf_le
0.000014     5486 real.conditionally_complete_linear_order._proof_3
0.000017     5487 real.lb_le_Inf
0.000015     5488 real.conditionally_complete_linear_order._proof_4
0.000015     5489 real.conditionally_complete_linear_order
0.000016     5490 nnreal.of_real._proof_1
0.000015     5491 nnreal.of_real
0.000016     5492 le_max_left_of_le
0.000015     5493 set.mem_image_of_mem
0.000015     5494 nnreal.bdd_above_coe
0.000016     5495 real.Sup_of_not_bdd_above
0.000016     5496 nnreal.has_Sup._proof_1
0.000014     5497 nnreal.has_Sup
0.000017     5498 real.Inf_def
0.000015     5499 set.set_of_false
0.000014     5500 real.Inf_empty
0.000016     5501 set.nonempty.image
0.000015     5502 nnreal.has_Inf._match_1
0.000015     5503 nnreal.has_Inf._proof_1
0.000016     5504 nnreal.has_Inf
0.000015     5505 nnreal.conditionally_complete_linear_order_bot._proof_7
0.000016     5506 set.nonempty.of_image
0.000016     5507 set.nonempty_image_iff
0.000014     5508 nnreal.conditionally_complete_linear_order_bot._match_1
0.000017     5509 nnreal.conditionally_complete_linear_order_bot._proof_8
0.000015     5510 nnreal.bdd_below_coe
0.000015     5511 nnreal.conditionally_complete_linear_order_bot._proof_9
0.000016     5512 nnreal.conditionally_complete_linear_order_bot._match_2
0.000015     5513 nnreal.conditionally_complete_linear_order_bot._proof_10
0.000015     5514 nnreal.coe_Sup
0.000016     5515 bot_eq_zero
0.000016     5516 nnreal.coe_zero
0.000014     5517 nnreal.conditionally_complete_linear_order_bot._proof_11
0.000016     5518 nnreal.conditionally_complete_linear_order_bot
0.000016     5519 ennreal.complete_linear_order
0.000016     5520 set.inter
0.000015     5521 set.has_inter
0.000014     5522 set.sUnion
0.000015     5523 topological_space
0.000016     5524 filter
0.000015     5525 prod
0.000016     5526 filter.sets
0.000014     5527 filter.has_mem
0.000017     5528 set.subset.refl
0.000014     5529 filter.partial_order._proof_1
0.000016     5530 set.subset.trans
0.000015     5531 filter.partial_order._proof_2
0.000016     5532 filter.partial_order._proof_3
0.000016     5533 filter.cases_on
0.000014     5534 filter.filter_eq
0.000016     5535 filter.partial_order._proof_4
0.000015     5536 filter.partial_order
0.000017     5537 filter.principal._proof_1
0.000014     5538 set.subset_inter
0.000017     5539 filter.principal._proof_2
0.303226     5540 filter.principal
0.000083     5541 prod.fst
0.000027     5542 prod.snd
0.000019     5543 id_rel
0.000014     5544 filter.univ_sets
0.000014     5545 filter.univ_mem_sets
0.000014     5546 filter.sets_of_superset
0.000014     5547 filter.mem_sets_of_superset
0.000014     5548 set.preimage_mono
0.000014     5549 filter.map._proof_1
0.000014     5550 filter.inter_sets
0.000015     5551 filter.inter_mem_sets
0.000013     5552 filter.map._proof_2
0.000014     5553 filter.map
0.000014     5554 filter.tendsto
0.000019     5555 prod.swap
0.000017     5556 set.range
0.000017     5557 infi
0.000015     5558 complete_lattice.top
0.000016     5559 complete_lattice.bot
0.000018     5560 bounded_lattice
0.000017     5561 bounded_lattice.lt
0.000018     5562 bounded_lattice.le
0.000015     5563 bounded_lattice.top
0.000016     5564 bounded_lattice.bot
0.000018     5565 bounded_lattice.sup
0.000017     5566 bounded_lattice.inf
0.000017     5567 semilattice_sup.lt._default
0.000015     5568 lattice.lt._default
0.000016     5569 bounded_lattice.cases_on
0.000017     5570 bounded_lattice.copy._aux_1
0.000015     5571 bounded_lattice.copy._aux_2
0.000016     5572 bounded_lattice.copy._proof_1
0.000015     5573 bounded_lattice.copy._aux_3
0.000016     5574 bounded_lattice.copy._aux_4
0.000015     5575 bounded_lattice.copy._aux_5
0.000015     5576 bounded_lattice.copy._aux_6
0.000016     5577 bounded_lattice.copy._aux_7
0.000015     5578 bounded_lattice.copy._aux_8
0.000016     5579 bounded_lattice.copy._aux_9
0.000015     5580 bounded_lattice.copy._aux_10
0.000017     5581 bounded_lattice.copy._aux_11
0.000015     5582 bounded_lattice.copy
0.000014     5583 complete_lattice.le_top
0.000016     5584 complete_lattice.bot_le
0.000015     5585 complete_lattice.to_bounded_lattice
0.000016     5586 bounded_lattice.le_refl
0.000016     5587 complete_lattice.copy._proof_1
0.000014     5588 bounded_lattice.le_trans
0.000016     5589 complete_lattice.copy._proof_2
0.000015     5590 bounded_lattice.lt_iff_le_not_le
0.000016     5591 complete_lattice.copy._proof_3
0.000015     5592 bounded_lattice.le_antisymm
0.000016     5593 complete_lattice.copy._proof_4
0.000015     5594 bounded_lattice.le_sup_left
0.000016     5595 complete_lattice.copy._proof_5
0.000015     5596 bounded_lattice.le_sup_right
0.000016     5597 complete_lattice.copy._proof_6
0.000015     5598 bounded_lattice.sup_le
0.000016     5599 complete_lattice.copy._proof_7
0.000015     5600 bounded_lattice.inf_le_left
0.000015     5601 complete_lattice.copy._proof_8
0.000016     5602 bounded_lattice.inf_le_right
0.000015     5603 complete_lattice.copy._proof_9
0.000016     5604 bounded_lattice.le_inf
0.000015     5605 complete_lattice.copy._proof_10
0.000015     5606 bounded_lattice.le_top
0.000016     5607 complete_lattice.copy._proof_11
0.000015     5608 bounded_lattice.bot_le
0.000016     5609 complete_lattice.copy._proof_12
0.000016     5610 complete_lattice.cases_on
0.000014     5611 complete_lattice.copy._aux_1
0.000016     5612 complete_lattice.copy._aux_2
0.000015     5613 complete_lattice.copy._aux_3
0.000015     5614 complete_lattice.copy._aux_4
0.000016     5615 complete_lattice.copy
0.000015     5616 order_dual.lattice._proof_1
0.000014     5617 order_dual.lattice._proof_2
0.000016     5618 order_dual.lattice._proof_3
0.000015     5619 order_dual.lattice._proof_4
0.000016     5620 order_dual.lattice._proof_5
0.000015     5621 order_dual.lattice._proof_6
0.000015     5622 order_dual.lattice._proof_7
0.000014     5623 order_dual.has_inf
0.000014     5624 order_dual.semilattice_inf._proof_1
0.000016     5625 order_dual.semilattice_inf._proof_2
0.000016     5626 order_dual.semilattice_inf._proof_3
0.000014     5627 order_dual.semilattice_inf._proof_4
0.000016     5628 order_dual.semilattice_inf._proof_5
0.000015     5629 order_dual.semilattice_inf
0.000016     5630 order_dual.lattice._proof_8
0.000016     5631 order_dual.lattice._proof_9
0.000016     5632 order_dual.lattice._proof_10
0.000015     5633 order_dual.lattice
0.000016     5634 bounded_lattice.to_lattice
0.000015     5635 order_dual.bounded_lattice._proof_1
0.000017     5636 order_dual.bounded_lattice._proof_2
0.000017     5637 order_dual.bounded_lattice._proof_3
0.000015     5638 order_dual.bounded_lattice._proof_4
0.000016     5639 order_dual.bounded_lattice._proof_5
0.000015     5640 order_dual.bounded_lattice._proof_6
0.000016     5641 order_dual.bounded_lattice._proof_7
0.000015     5642 order_dual.bounded_lattice._proof_8
0.000016     5643 order_dual.bounded_lattice._proof_9
0.000015     5644 order_dual.bounded_lattice._proof_10
0.000016     5645 bounded_lattice.to_order_bot
0.000016     5646 order_dual.bounded_lattice._proof_11
0.000014     5647 order_dual.has_bot
0.000016     5648 order_dual.order_bot._proof_1
0.000015     5649 order_dual.order_bot._proof_2
0.000016     5650 order_dual.order_bot._proof_3
0.000015     5651 order_dual.order_bot._proof_4
0.000015     5652 order_dual.order_bot
0.000016     5653 bounded_lattice.to_order_top
0.000015     5654 order_dual.bounded_lattice._proof_12
0.000016     5655 order_dual.bounded_lattice
0.211799     5656 order_dual.complete_lattice._proof_1
0.000073     5657 order_dual.complete_lattice._proof_2
0.000024     5658 order_dual.complete_lattice._proof_3
0.000015     5659 order_dual.complete_lattice._proof_4
0.000014     5660 order_dual.complete_lattice._proof_5
0.000014     5661 order_dual.complete_lattice._proof_6
0.000016     5662 order_dual.complete_lattice._proof_7
0.000014     5663 order_dual.complete_lattice._proof_8
0.000014     5664 order_dual.complete_lattice._proof_9
0.000014     5665 order_dual.complete_lattice._proof_10
0.000014     5666 order_dual.complete_lattice._proof_11
0.000014     5667 order_dual.complete_lattice._proof_12
0.000014     5668 order_dual.has_Sup
0.000014     5669 order_dual.has_Inf
0.000014     5670 order_dual.complete_lattice
0.000014     5671 galois_connection
0.000019     5672 galois_insertion
0.000015     5673 galois_insertion.le_l_u
0.000016     5674 monotone
0.000017     5675 galois_connection.l_le
0.000017     5676 galois_connection.le_u
0.000015     5677 galois_connection.le_u_l
0.000016     5678 galois_connection.monotone_l
0.000017     5679 galois_insertion.gc
0.000016     5680 galois_insertion.lift_semilattice_sup._proof_1
0.000019     5681 galois_insertion.lift_semilattice_sup._proof_2
0.000017     5682 galois_connection.l_u_le
0.000017     5683 galois_connection.monotone_u
0.000014     5684 galois_insertion.lift_semilattice_sup._proof_3
0.000017     5685 galois_insertion.lift_semilattice_sup
0.000015     5686 galois_insertion.lift_lattice._proof_1
0.000014     5687 galois_insertion.lift_lattice._proof_2
0.000016     5688 galois_insertion.lift_lattice._proof_3
0.000015     5689 galois_insertion.lift_lattice._proof_4
0.000016     5690 galois_insertion.lift_lattice._proof_5
0.000015     5691 galois_insertion.lift_lattice._proof_6
0.000017     5692 galois_insertion.lift_lattice._proof_7
0.000015     5693 galois_insertion.choice
0.000014     5694 galois_insertion.lift_semilattice_inf._proof_1
0.000016     5695 galois_insertion.choice_eq
0.000015     5696 galois_insertion.lift_semilattice_inf._proof_2
0.000016     5697 galois_insertion.lift_semilattice_inf._proof_3
0.000015     5698 galois_insertion.lift_semilattice_inf._proof_4
0.000016     5699 galois_insertion.lift_semilattice_inf
0.000015     5700 galois_insertion.lift_lattice._proof_8
0.000016     5701 galois_insertion.lift_lattice._proof_9
0.000015     5702 galois_insertion.lift_lattice._proof_10
0.000014     5703 galois_insertion.lift_lattice
0.000014     5704 galois_insertion.lift_bounded_lattice._proof_1
0.000014     5705 galois_insertion.lift_bounded_lattice._proof_2
0.000014     5706 galois_insertion.lift_bounded_lattice._proof_3
0.000014     5707 galois_insertion.lift_bounded_lattice._proof_4
0.000024     5708 galois_insertion.lift_bounded_lattice._proof_5
0.000015     5709 galois_insertion.lift_bounded_lattice._proof_6
0.000014     5710 galois_insertion.lift_bounded_lattice._proof_7
0.000017     5711 galois_insertion.lift_bounded_lattice._proof_8
0.000015     5712 galois_insertion.lift_bounded_lattice._proof_9
0.000016     5713 galois_insertion.lift_bounded_lattice._proof_10
0.000015     5714 galois_insertion.lift_order_top._proof_1
0.000016     5715 galois_insertion.lift_order_top._proof_2
0.000015     5716 galois_insertion.lift_order_top
0.000016     5717 galois_insertion.lift_bounded_lattice._proof_11
0.000015     5718 galois_connection.lift_order_bot._proof_1
0.000016     5719 galois_connection.lift_order_bot
0.000015     5720 galois_insertion.lift_bounded_lattice._proof_12
0.000017     5721 galois_insertion.lift_bounded_lattice._proof_13
0.000016     5722 galois_insertion.lift_bounded_lattice
0.000015     5723 galois_insertion.lift_complete_lattice._proof_1
0.000017     5724 galois_insertion.lift_complete_lattice._proof_2
0.000014     5725 galois_insertion.lift_complete_lattice._proof_3
0.000017     5726 galois_insertion.lift_complete_lattice._proof_4
0.000014     5727 galois_insertion.lift_complete_lattice._proof_5
0.000016     5728 galois_insertion.lift_complete_lattice._proof_6
0.000015     5729 galois_insertion.lift_complete_lattice._proof_7
0.000018     5730 galois_insertion.lift_complete_lattice._proof_8
0.000014     5731 galois_insertion.lift_complete_lattice._proof_9
0.000017     5732 galois_insertion.lift_complete_lattice._proof_10
0.000016     5733 galois_insertion.lift_complete_lattice._proof_11
0.000015     5734 galois_insertion.lift_complete_lattice._proof_12
0.000016     5735 supr
0.000015     5736 le_supr
0.000016     5737 le_supr_of_le
0.000016     5738 galois_insertion.lift_complete_lattice._proof_13
0.000014     5739 supr_le
0.000016     5740 galois_insertion.lift_complete_lattice._proof_14
0.000015     5741 le_infi
0.000014     5742 infi_le
0.000016     5743 infi_le_of_le
0.000015     5744 galois_insertion.lift_complete_lattice._proof_15
1.661838     5745 galois_insertion.lift_complete_lattice._proof_16
0.000082     5746 galois_insertion.lift_complete_lattice._proof_17
0.000022     5747 galois_insertion.lift_complete_lattice
0.000015     5748 filter.generate_sets
0.000014     5749 filter.generate._proof_1
0.000014     5750 filter.generate._proof_2
0.000015     5751 filter.generate
0.000014     5752 bounded_distrib_lattice
0.000014     5753 bounded_distrib_lattice.sup
0.000014     5754 bounded_distrib_lattice.le
0.000016     5755 bounded_distrib_lattice.lt
0.000014     5756 bounded_distrib_lattice.le_refl
0.000014     5757 bounded_distrib_lattice.le_trans
0.000014     5758 bounded_distrib_lattice.lt_iff_le_not_le
0.000014     5759 bounded_distrib_lattice.le_antisymm
0.000018     5760 bounded_distrib_lattice.le_sup_left
0.000018     5761 bounded_distrib_lattice.le_sup_right
0.000016     5762 bounded_distrib_lattice.sup_le
0.000015     5763 bounded_distrib_lattice.inf
0.000016     5764 bounded_distrib_lattice.inf_le_left
0.000017     5765 bounded_distrib_lattice.inf_le_right
0.000018     5766 bounded_distrib_lattice.le_inf
0.000017     5767 bounded_distrib_lattice.top
0.000017     5768 bounded_distrib_lattice.le_top
0.000017     5769 bounded_distrib_lattice.bot
0.000017     5770 bounded_distrib_lattice.bot_le
0.000017     5771 bounded_distrib_lattice.to_bounded_lattice
0.000017     5772 semilattice_inf_bot_of_bounded_lattice._proof_1
0.000017     5773 semilattice_inf_bot_of_bounded_lattice
0.000015     5774 has_compl
0.000014     5775 has_compl.compl
0.000016     5776 semilattice_sup_bot_of_bounded_lattice._proof_1
0.000015     5777 semilattice_sup_bot_of_bounded_lattice
0.000014     5778 boolean_algebra.core
0.000014     5779 boolean_algebra.core.compl
0.000015     5780 boolean_algebra.core.to_has_compl
0.000016     5781 boolean_algebra
0.000015     5782 boolean_algebra.sup
0.000016     5783 set.has_le
0.000015     5784 set.has_lt
0.000016     5785 boolean_algebra.le
0.000015     5786 boolean_algebra.bot
0.000017     5787 pi.preorder._proof_1
0.000014     5788 pi.preorder._proof_2
0.000017     5789 pi.preorder._proof_3
0.000015     5790 pi.preorder
0.000016     5791 pi.partial_order._proof_1
0.000015     5792 pi.partial_order._proof_2
0.000016     5793 pi.partial_order._proof_3
0.000015     5794 pi.partial_order._proof_4
0.000014     5795 pi.partial_order
0.000016     5796 boolean_algebra.lt
0.000015     5797 boolean_algebra.le_refl
0.000016     5798 pi.boolean_algebra._proof_1
0.000015     5799 boolean_algebra.le_trans
0.000016     5800 pi.boolean_algebra._proof_2
0.000015     5801 boolean_algebra.lt_iff_le_not_le
0.000017     5802 pi.boolean_algebra._proof_3
0.000015     5803 boolean_algebra.le_antisymm
0.000014     5804 pi.boolean_algebra._proof_4
0.000016     5805 pi.boolean_algebra._proof_5
0.000015     5806 pi.boolean_algebra._proof_6
0.000017     5807 pi.boolean_algebra._proof_7
0.000015     5808 pi.boolean_algebra._proof_8
0.000014     5809 boolean_algebra.bot_le
0.000017     5810 pi.boolean_algebra._proof_9
0.000015     5811 boolean_algebra.le_sup_left
0.000016     5812 pi.boolean_algebra._proof_10
0.000015     5813 boolean_algebra.le_sup_right
0.000016     5814 pi.boolean_algebra._proof_11
0.000015     5815 boolean_algebra.sup_le
0.000015     5816 pi.boolean_algebra._proof_12
0.000016     5817 boolean_algebra.inf
0.000015     5818 boolean_algebra.inf_le_left
0.000015     5819 pi.boolean_algebra._proof_13
0.000016     5820 boolean_algebra.inf_le_right
0.000015     5821 pi.boolean_algebra._proof_14
0.000016     5822 boolean_algebra.le_inf
0.000015     5823 pi.boolean_algebra._proof_15
0.000015     5824 boolean_algebra.le_sup_inf
0.000016     5825 pi.boolean_algebra._proof_16
0.000015     5826 boolean_algebra.sdiff
0.000015     5827 boolean_algebra.sup_inf_sdiff
0.000016     5828 pi.boolean_algebra._proof_17
0.000014     5829 boolean_algebra.inf_inf_sdiff
0.000017     5830 pi.boolean_algebra._proof_18
0.000015     5831 boolean_algebra.top
0.000015     5832 boolean_algebra.le_top
0.000016     5833 pi.boolean_algebra._proof_19
0.000015     5834 boolean_algebra.compl
0.000016     5835 boolean_algebra.inf_compl_le_bot
0.000015     5836 pi.boolean_algebra._proof_20
0.000015     5837 boolean_algebra.top_le_sup_compl
0.000016     5838 pi.boolean_algebra._proof_21
0.000015     5839 boolean_algebra.sdiff_eq
0.000016     5840 pi.boolean_algebra._proof_22
0.000015     5841 pi.boolean_algebra
0.000016     5842 boolean_algebra.core.bot
0.000024     5843 boolean_algebra.core.le
0.000016     5844 boolean_algebra.core.lt
0.000014     5845 boolean_algebra.core.le_refl
0.000014     5846 boolean_algebra.core.le_trans
0.000017     5847 boolean_algebra.core.lt_iff_le_not_le
0.000015     5848 boolean_algebra.core.le_antisymm
0.000017     5849 boolean_algebra.core.bot_le
0.000014     5850 boolean_algebra.core.sup
0.000016     5851 boolean_algebra.core.le_sup_left
0.000015     5852 boolean_algebra.core.le_sup_right
0.000016     5853 boolean_algebra.core.sup_le
0.000015     5854 boolean_algebra.core.inf
0.000017     5855 boolean_algebra.core.inf_le_left
0.728497     5856 boolean_algebra.core.inf_le_right
0.000077     5857 boolean_algebra.core.le_inf
0.000025     5858 boolean_algebra.core.le_sup_inf
0.000015     5859 boolean_algebra.core.top
0.000014     5860 boolean_algebra.core.le_top
0.000015     5861 boolean_algebra.core.to_bounded_distrib_lattice
0.000014     5862 distrib_lattice.to_lattice
0.000014     5863 bounded_distrib_lattice.le_sup_inf
0.000014     5864 bounded_distrib_lattice.to_distrib_lattice
0.000014     5865 inf_eq_left
0.000014     5866 inf_sup_self
0.000015     5867 inf_assoc
0.000014     5868 sup_inf_le
0.000014     5869 le_sup_inf
0.000014     5870 sup_inf_left
0.000013     5871 sup_inf_right
0.000014     5872 sup_inf_self
0.000018     5873 inf_sup_left
0.000015     5874 boolean_algebra.core.top_le_sup_compl
0.000014     5875 sup_compl_eq_top
0.000016     5876 semilattice_inf_top.to_semilattice_inf
0.000015     5877 semilattice_inf_top_of_bounded_lattice._proof_1
0.000014     5878 semilattice_inf_top_of_bounded_lattice
0.000017     5879 semilattice_inf_top.top
0.000017     5880 semilattice_inf_top.le_top
0.000017     5881 semilattice_inf_top.to_order_top
0.000017     5882 inf_of_le_left
0.000017     5883 inf_top_eq
0.000017     5884 boolean_algebra.of_core._proof_1
0.000017     5885 inf_comm
0.000017     5886 inf_left_right_swap
0.000014     5887 boolean_algebra.core.inf_compl_le_bot
0.000017     5888 inf_compl_eq_bot
0.000017     5889 compl_inf_eq_bot
0.000017     5890 inf_of_le_right
0.000018     5891 inf_bot_eq
0.000014     5892 bot_inf_eq
0.000018     5893 boolean_algebra.of_core._proof_2
0.000015     5894 boolean_algebra.of_core._proof_3
0.000017     5895 boolean_algebra.of_core
0.000017     5896 distrib_lattice.lt._default
0.000015     5897 bounded_distrib_lattice_Prop._proof_1
0.000016     5898 bounded_distrib_lattice_Prop._proof_2
0.000015     5899 bounded_distrib_lattice_Prop._proof_3
0.000016     5900 bounded_distrib_lattice_Prop._proof_4
0.000015     5901 bounded_distrib_lattice_Prop._proof_5
0.000016     5902 bounded_distrib_lattice_Prop._proof_6
0.000015     5903 bounded_distrib_lattice_Prop._proof_7
0.000016     5904 bounded_distrib_lattice_Prop._proof_8
0.000015     5905 bounded_distrib_lattice_Prop
0.000016     5906 boolean_algebra_Prop._proof_1
0.000015     5907 boolean_algebra_Prop._proof_2
0.000016     5908 boolean_algebra_Prop._proof_3
0.000014     5909 boolean_algebra_Prop._proof_4
0.000016     5910 boolean_algebra_Prop._proof_5
0.000015     5911 boolean_algebra_Prop._proof_6
0.000016     5912 boolean_algebra_Prop._proof_7
0.000016     5913 boolean_algebra_Prop._proof_8
0.000014     5914 boolean_algebra_Prop._proof_9
0.000016     5915 boolean_algebra_Prop._proof_10
0.000016     5916 boolean_algebra_Prop._proof_11
0.000014     5917 boolean_algebra_Prop._proof_12
0.000016     5918 boolean_algebra_Prop._proof_13
0.000016     5919 boolean_algebra_Prop._match_1
0.000014     5920 boolean_algebra_Prop._proof_14
0.000016     5921 boolean_algebra_Prop._proof_15
0.000015     5922 boolean_algebra_Prop
0.000016     5923 set.boolean_algebra._proof_1
0.000015     5924 set.boolean_algebra._proof_2
0.000016     5925 set.boolean_algebra._proof_3
0.000015     5926 set.boolean_algebra._proof_4
0.000015     5927 set.boolean_algebra._proof_5
0.000016     5928 set.union
0.000015     5929 set.has_union
0.000016     5930 set.boolean_algebra._proof_6
0.000016     5931 set.boolean_algebra._proof_7
0.000014     5932 set.boolean_algebra._proof_8
0.000016     5933 set.boolean_algebra._proof_9
0.000015     5934 set.boolean_algebra._proof_10
0.000015     5935 set.boolean_algebra._proof_11
0.000016     5936 set.boolean_algebra._proof_12
0.000015     5937 has_sep
0.000015     5938 has_sep.sep
0.000016     5939 set.sep
0.000016     5940 set.has_sep
0.000014     5941 set.diff
0.000016     5942 set.has_sdiff
0.000015     5943 set.boolean_algebra._proof_13
0.000016     5944 set.boolean_algebra._proof_14
0.000015     5945 set.boolean_algebra._proof_15
0.000016     5946 set.compl
0.000015     5947 set.boolean_algebra._proof_16
0.000015     5948 set.boolean_algebra._proof_17
0.000016     5949 set.boolean_algebra._proof_18
0.000015     5950 set.boolean_algebra
0.000016     5951 set.lattice_set._proof_1
0.000015     5952 set.lattice_set._proof_2
0.000016     5953 set.lattice_set._proof_3
0.000014     5954 set.lattice_set._proof_4
0.000016     5955 set.lattice_set._proof_5
0.000016     5956 set.lattice_set._proof_6
0.000014     5957 set.lattice_set._proof_7
0.000017     5958 set.lattice_set._proof_8
0.000015     5959 set.lattice_set._proof_9
0.000014     5960 set.lattice_set._proof_10
0.000017     5961 set.lattice_set._proof_11
0.000015     5962 set.lattice_set._proof_12
0.000016     5963 set.lattice_set._proof_13
0.000015     5964 set.lattice_set._match_1
0.000014     5965 set.lattice_set._proof_14
0.000018     5966 set.lattice_set._proof_15
0.000014     5967 set.lattice_set._proof_16
0.000017     5968 set.lattice_set
0.000016     5969 filter.mk_of_closure._proof_1
0.000015     5970 filter.mk_of_closure._proof_2
0.000016     5971 filter.mk_of_closure._proof_3
0.000015     5972 filter.mk_of_closure
0.000016     5973 filter.generate_sets.rec_on
0.232071     5974 filter.sets_iff_generate
0.000083     5975 filter.gi_generate._proof_1
0.000023     5976 filter.gi_generate._proof_2
0.000015     5977 filter.gi_generate._proof_3
0.000014     5978 filter.filter_eq_iff
0.000015     5979 set.ext_iff
0.000014     5980 filter.mem_sets
0.000014     5981 filter.ext_iff
0.000014     5982 filter.ext
0.000014     5983 filter.mk_of_closure_sets
0.000014     5984 filter.gi_generate._proof_4
0.000014     5985 filter.gi_generate
0.000015     5986 _private.1937548283.original_complete_lattice
0.000014     5987 filter.complete_lattice._proof_1
0.000013     5988 filter.has_top._proof_1
0.000015     5989 filter.has_top._proof_2
0.000013     5990 set.mem_inter
0.000014     5991 filter.has_top._proof_3
0.000015     5992 filter.has_top
0.000014     5993 filter.mem_top_sets_iff_forall
0.000018     5994 filter.mem_top_sets
0.000018     5995 filter.complete_lattice._proof_2
0.000017     5996 filter.complete_lattice._proof_3
0.000015     5997 filter.complete_lattice._proof_4
0.000014     5998 set.inter_subset_left
0.000016     5999 filter.has_inf._proof_1
0.000017     6000 filter.has_inf._match_1
0.000017     6001 filter.has_inf._proof_2
0.000017     6002 set.inter_assoc
0.000015     6003 set.inter_is_assoc
0.000016     6004 set.inter_comm
0.000017     6005 set.inter_is_comm
0.000015     6006 set.inter_subset_inter
0.000014     6007 filter.has_inf._match_2
0.000016     6008 filter.has_inf._match_3
0.000017     6009 filter.has_inf._proof_3
0.000017     6010 filter.has_inf
0.000017     6011 filter.mem_inf_sets_of_left
0.000017     6012 set.inter_subset_right
0.000017     6013 filter.mem_inf_sets_of_right
0.000017     6014 filter.complete_lattice._match_1
0.000017     6015 filter.complete_lattice._proof_5
0.000015     6016 set.set_of_true
0.000016     6017 filter.join._proof_1
0.000015     6018 filter.join._proof_2
0.000016     6019 filter.join._match_1
0.000015     6020 filter.join._proof_3
0.000016     6021 filter.join
0.000015     6022 set.Inter
0.000016     6023 set.mem_Inter
0.000015     6024 set.mem_bInter_iff
0.000016     6025 filter.complete_lattice._proof_6
0.000015     6026 filter.complete_lattice._proof_7
0.000017     6027 filter.complete_lattice
0.000015     6028 filter.lift
0.000014     6029 filter.lift'
0.000017     6030 comp_rel
0.000015     6031 uniform_space.core
0.000014     6032 topological_space.is_open
0.000017     6033 uniform_space.core.uniformity
0.000015     6034 uniform_space
0.000015     6035 uniform_space.to_core
0.000016     6036 uniformity
0.000015     6037 pseudo_emetric_space
0.000016     6038 pseudo_emetric_space.to_has_edist
0.000016     6039 emetric_space
0.000014     6040 has_dist
0.000016     6041 has_dist.dist
0.000015     6042 ennreal.has_coe
0.000014     6043 ennreal.of_real
0.000016     6044 pseudo_metric_space
0.000016     6045 pseudo_metric_space.to_has_dist
0.000014     6046 metric_space
0.000016     6047 set.has_coe_to_sort
0.000015     6048 emetric.ball
0.000015     6049 emetric_space.to_pseudo_emetric_space
0.000016     6050 ennreal.to_nnreal._main
0.000015     6051 ennreal.to_nnreal
0.000014     6052 ennreal.to_real
0.000016     6053 pseudo_emetric_space.edist_self
0.000015     6054 ennreal.zero_to_real
0.000015     6055 pseudo_emetric_space.to_pseudo_metric_space_of_dist._proof_1
0.000016     6056 pseudo_emetric_space.edist_comm
0.000024     6057 pseudo_emetric_space.to_pseudo_metric_space_of_dist._proof_2
0.000017     6058 can_lift
0.000014     6059 can_lift.coe
0.000015     6060 option.is_some._main
0.000015     6061 option.is_some
0.000014     6062 option.get._main
0.000016     6063 option.get
0.000016     6064 option.is_some_none
0.000014     6065 option.is_some_some
0.000014     6066 coe_sort_tt
0.000014     6067 option.ne_none_iff_is_some
0.000017     6068 option.some_get
0.000014     6069 ennreal.nnreal.can_lift._proof_1
0.000017     6070 ennreal.nnreal.can_lift
0.000017     6071 can_lift.cond
0.000014     6072 can_lift.prf
0.000017     6073 ennreal.to_real_add
0.000015     6074 nnreal.has_le
0.000016     6075 ennreal.coe_le_coe
0.000015     6076 ennreal.to_real_le_to_real
0.000016     6077 with_top.add_eq_top
0.000015     6078 ennreal.add_eq_top
0.000017     6079 pseudo_emetric_space.edist_triangle
0.000015     6080 pseudo_emetric_space.to_pseudo_metric_space_of_dist._proof_3
0.000014     6081 ennreal.to_real.equations._eqn_1
0.000016     6082 ennreal.of_real.equations._eqn_1
0.000015     6083 nnreal.of_real_coe
0.000017     6084 ennreal.coe_to_nnreal
0.000015     6085 ennreal.of_real_to_real
0.000014     6086 pseudo_emetric_space.to_pseudo_metric_space_of_dist._proof_4
0.000017     6087 uniform_space.core.to_topological_space._proof_1
0.000015     6088 filter.mp_sets
0.000014     6089 filter.univ_mem_sets'
0.000016     6090 set.mem_inter_eq
0.000015     6091 prod.cases_on
0.000016     6092 prod.forall
0.000016     6093 uniform_space.core.to_topological_space._match_1
0.000014     6094 uniform_space.core.to_topological_space._proof_2
0.000017     6095 uniform_space.core.to_topological_space._match_2
0.000015     6096 uniform_space.core.to_topological_space._proof_3
0.000014     6097 uniform_space.core.to_topological_space
2.864907     6098 uniform_space.of_core._proof_1
0.000076     6099 uniform_space.of_core
0.000025     6100 gt.equations._eqn_1
0.000014     6101 id_rel.equations._eqn_1
0.000015     6102 filter.le_principal_iff
0.000014     6103 filter.mem_principal_sets
0.000014     6104 set.subset_def
0.000014     6105 uniform_space_of_dist._proof_1
0.000014     6106 filter.tendsto.equations._eqn_1
0.000014     6107 le_infi_iff
0.000014     6108 filter.tendsto_infi
0.000014     6109 set.preimage_univ
0.000014     6110 filter.comap._proof_1
0.000014     6111 filter.comap._match_1
0.000015     6112 filter.comap._proof_2
0.000013     6113 filter.comap._match_2
0.000018     6114 filter.comap._match_3
0.000018     6115 filter.comap._proof_3
0.000017     6116 filter.comap
0.000017     6117 filter.map_le_iff_le_comap
0.000015     6118 filter.gc_map_comap
0.000016     6119 filter.map_mono
0.000016     6120 filter.tendsto.mono_left
0.000016     6121 filter.tendsto_infi'
0.000017     6122 filter.eventually
0.000018     6123 filter.mem_map
0.000015     6124 filter.eventually.equations._eqn_1
0.000015     6125 filter.tendsto_principal
0.000014     6126 filter.eventually_principal
0.000014     6127 filter.tendsto_principal_principal
0.000014     6128 prod.fst_swap
0.000018     6129 prod.snd_swap
0.000015     6130 uniform_space_of_dist._proof_2
0.000017     6131 filter.lift_le
0.000014     6132 filter.lift'_le
0.000017     6133 filter.mem_infi_sets
0.000015     6134 comp_rel.equations._eqn_1
0.000014     6135 set.set_of_subset_set_of
0.000014     6136 uniform_space_of_dist._proof_3
0.000018     6137 uniform_space_of_dist
0.000015     6138 pseudo_emetric_space.to_pseudo_metric_space_of_dist._proof_5
0.000017     6139 pseudo_emetric_space.to_pseudo_metric_space_of_dist._proof_6
0.000015     6140 pseudo_emetric_space.to_pseudo_metric_space_of_dist._proof_7
0.000016     6141 pseudo_emetric_space.to_pseudo_metric_space_of_dist._proof_8
0.000015     6142 pseudo_emetric_space.to_uniform_space
0.000018     6143 pseudo_emetric_space.to_uniform_space'
0.000015     6144 pseudo_metric_space.edist
0.000014     6145 pseudo_metric_space.to_has_edist
0.000014     6146 pseudo_metric_space.edist_dist
0.000018     6147 edist_dist
0.000015     6148 pseudo_metric_space.dist_self
0.000018     6149 dist_self
0.000014     6150 nnreal.of_real.equations._eqn_1
0.000018     6151 nnreal.of_real_zero
0.000015     6152 ennreal.coe_zero
0.000014     6153 ennreal.of_real_zero
0.000014     6154 pseudo_metric_space.to_pseudo_emetric_space._proof_1
0.000017     6155 pseudo_metric_space.dist_comm
0.000015     6156 dist_comm
0.000014     6157 pseudo_metric_space.to_pseudo_emetric_space._proof_2
0.000015     6158 ennreal.coe_add
0.000017     6159 ennreal.coe_eq_coe
0.000017     6160 subtype.coe_mk
0.000017     6161 nnreal.coe_add
0.000017     6162 nnreal.of_real_add
0.000017     6163 ennreal.of_real_add
0.000015     6164 pseudo_metric_space.dist_triangle
0.000014     6165 dist_triangle
0.000016     6166 dist_nonneg
0.000016     6167 nnreal.coe_le_coe
0.000016     6168 nnreal.of_real_le_of_real_iff
0.000015     6169 ennreal.of_real_le_of_real_iff
0.000015     6170 pseudo_metric_space.to_pseudo_emetric_space._proof_3
0.000016     6171 pseudo_metric_space.to_uniform_space
0.000015     6172 metric_space.to_uniform_space'
0.000016     6173 filter.has_basis
0.000015     6174 infi_subtype
0.000016     6175 infi_subtype'
0.000015     6176 filter.eq_Inf_of_mem_sets_iff_exists_mem
0.000017     6177 set.mem_range
0.000015     6178 exists_exists_eq_and
0.000016     6179 set.exists_range_iff
0.000015     6180 filter.eq_infi_of_mem_sets_iff_exists_mem
0.000014     6181 filter.eq_binfi_of_mem_sets_iff_exists_mem
0.000017     6182 filter.has_basis.mem_iff'
0.000015     6183 filter.has_basis.mem_iff
0.000014     6184 filter.has_basis.eq_binfi
0.000017     6185 filter.has_basis.mem_uniformity_iff
0.000015     6186 pseudo_metric_space.uniformity_dist
0.000014     6187 directed_on
0.000016     6188 order.preimage
0.000015     6189 directed
0.000016     6190 set.Union
0.000015     6191 nonempty.dcases_on
0.000014     6192 set.mem_Union
0.000017     6193 filter.mem_mk
0.000015     6194 filter.infi_sets_eq
0.000014     6195 filter.mem_infi
0.000017     6196 directed_on.equations._eqn_1
0.000015     6197 directed.equations._eqn_1
0.000014     6198 subtype.exists
0.000016     6199 set_coe.exists
0.000015     6200 subtype.forall
0.000016     6201 set_coe.forall
0.000015     6202 forall_prop_congr
0.000016     6203 forall_prop_congr'
0.000015     6204 directed_on_iff_directed
0.000016     6205 directed_on.directed_coe
0.000015     6206 nonempty_subtype
0.000015     6207 set.nonempty.to_subtype
0.000016     6208 filter.mem_binfi
0.000015     6209 directed_comp
0.000016     6210 function.comp.equations._eqn_1
0.000015     6211 directed.mono
0.000014     6212 directed.mono_comp
0.000016     6213 filter.principal_mono
0.000015     6214 filter.has_basis_binfi_principal
0.000016     6215 le_or_gt
0.000015     6216 lt_min
0.000016     6217 no_top_order
0.000015     6218 set.Ioi
0.000016     6219 no_top_order.no_top
0.000015     6220 no_top
0.000018     6221 set.nonempty_Ioi
0.000017     6222 linear_ordered_semiring.to_no_top_order
1.407064     6223 metric.uniformity_basis_dist
0.000077     6224 metric.mem_uniformity_dist
0.000024     6225 ennreal.coe_lt_coe
0.000015     6226 ennreal.coe_pos
0.000014     6227 nnreal.coe_lt_coe
0.000014     6228 as_linear_order
0.000014     6229 total_of
0.000014     6230 as_linear_order.linear_order._proof_1
0.000014     6231 as_linear_order.linear_order
0.000014     6232 lt_sup_iff
0.000014     6233 lt_max_iff
0.000014     6234 nnreal.of_real_pos
0.000014     6235 ennreal.of_real_pos
0.000014     6236 nnreal.of_real_lt_of_real_iff'
0.000014     6237 nnreal.of_real_lt_of_real_iff
0.000014     6238 ennreal.of_real_lt_of_real_iff
0.000015     6239 ennreal.lt_iff_exists_coe
0.000014     6240 with_top.densely_ordered._match_2
0.000017     6241 with_top.densely_ordered._match_3
0.000017     6242 with_top.densely_ordered._match_1
0.000015     6243 with_top.densely_ordered
0.000016     6244 nnreal.densely_ordered._match_1
0.000019     6245 nnreal.densely_ordered
0.000016     6246 nnreal.no_top_order._match_1
0.000014     6247 nnreal.no_top_order
0.000016     6248 ennreal.densely_ordered
0.000015     6249 nnreal.coe_of_real
0.000015     6250 inv_div
0.000016     6251 rat.cast_inv_of_ne_zero
0.000017     6252 rat.cast_div_of_ne_zero
0.000015     6253 rat.coe_int_denom
0.000018     6254 rat.coe_int_num
0.000017     6255 rat.coe_nat_num
0.000015     6256 has_lt.lt.trans
0.000014     6257 rat.coe_nat_denom
0.000014     6258 lt_neg_add_iff_add_lt
0.000014     6259 lt_sub_iff_add_lt'
0.000014     6260 div_lt_iff'
0.000015     6261 exists_rat_btwn
0.000014     6262 nnreal.lt_iff_exists_rat_btwn
0.000016     6263 ennreal.lt_iff_exists_rat_btwn
0.000019     6264 ennreal.lt_iff_exists_real_btwn
0.000015     6265 pseudo_metric.uniformity_basis_edist
0.000016     6266 metric.uniformity_edist
0.000018     6267 pseudo_metric_space.to_pseudo_emetric_space
0.000016     6268 pseudo_metric_space.replace_uniformity._proof_1
0.000017     6269 pseudo_metric_space.replace_uniformity
0.000016     6270 pseudo_emetric_space.uniformity_edist
0.000014     6271 uniformity_pseudoedist
0.000017     6272 pseudo_emetric_space.to_pseudo_metric_space_of_dist._proof_9
0.000015     6273 pseudo_emetric_space.to_pseudo_metric_space_of_dist
0.000014     6274 emetric_space.to_metric_space_of_dist._proof_1
0.000017     6275 emetric_space.to_metric_space_of_dist._proof_2
0.000014     6276 emetric_space.to_metric_space_of_dist._proof_3
0.000017     6277 emetric_space.to_metric_space_of_dist._proof_4
0.000015     6278 emetric_space.to_metric_space_of_dist._proof_5
0.000016     6279 nnreal.coe_eq
0.000015     6280 nnreal.coe_eq_zero
0.000016     6281 ennreal.none_eq_top
0.000015     6282 ennreal.top_to_nnreal
0.000016     6283 ennreal.some_eq_coe
0.000015     6284 ennreal.to_nnreal_coe
0.000016     6285 with_top.zero_ne_top
0.000015     6286 ennreal.zero_to_nnreal
0.000016     6287 ennreal.to_nnreal_eq_zero_iff
0.000015     6288 ennreal.to_real_eq_zero_iff
0.000017     6289 emetric_space.eq_of_edist_eq_zero
0.000014     6290 edist_eq_zero
0.000017     6291 emetric_space.to_metric_space_of_dist._proof_6
0.000015     6292 emetric_space.to_metric_space_of_dist
0.000014     6293 emetric_space.to_metric_space._proof_1
0.000016     6294 emetric_space.to_metric_space
0.000016     6295 emetric_space.induced._proof_1
0.000016     6296 emetric_space.induced._proof_2
0.000015     6297 emetric_space.induced._proof_3
0.000014     6298 topological_space.is_open_univ
0.000017     6299 topological_space.induced._proof_1
0.000015     6300 topological_space.is_open_inter
0.000016     6301 set.preimage_inter
0.000015     6302 topological_space.induced._proof_2
0.000015     6303 classical.axiom_of_choice
0.000016     6304 classical.skolem
0.000015     6305 set.preimage.equations._eqn_1
0.000016     6306 set.preimage_Union
0.000016     6307 infi_subtype''
0.000014     6308 infi.equations._eqn_1
0.000016     6309 forall_swap
0.000015     6310 forall_apply_eq_imp_iff
0.000029     6311 forall_apply_eq_imp_iff'
0.000017     6312 set.forall_range_iff
0.000014     6313 set.mem_range_self
0.000014     6314 forall_apply_eq_imp_iff₂
0.000014     6315 set.ball_image_iff
0.000015     6316 set.range_comp
0.000016     6317 set.image.equations._eqn_1
0.000015     6318 set.range.equations._eqn_1
0.000017     6319 set.image_univ
0.000014     6320 subtype.coe_image
0.000017     6321 set.set_of_mem_eq
0.000014     6322 subtype.range_coe
0.000017     6323 Inf_image
0.000015     6324 Sup_image
0.000016     6325 set.sUnion_image
0.000014     6326 set.image_id'
0.000017     6327 set.sUnion_eq_bUnion
0.000014     6328 is_open
0.000016     6329 topological_space.is_open_sUnion
0.000015     6330 is_open_sUnion
0.000017     6331 is_open_Union
0.000015     6332 topological_space.induced._proof_3
0.000016     6333 topological_space.induced
0.000015     6334 uniform_space.to_topological_space
0.000016     6335 filter.comap_principal
0.000015     6336 mem_id_rel
0.000017     6337 id_rel_subset
0.000014     6338 set.mem_preimage
0.000017     6339 filter.comap_mono
0.000015     6340 uniform_space.core.refl
0.000015     6341 uniform_space.comap._proof_1
1.211210     6342 prod.swap.equations._eqn_1
0.000078     6343 filter.map_compose
0.000023     6344 filter.map_map
0.000015     6345 filter.tendsto.comp
0.000014     6346 filter.map_comap_le
0.000014     6347 filter.tendsto_comap
0.000015     6348 filter.tendsto_comap_iff
0.000015     6349 uniform_space.core.symm
0.000014     6350 symm_le_uniformity
0.000014     6351 tendsto_swap_uniformity
0.000014     6352 uniform_space.comap._proof_2
0.000014     6353 filter.mem_comap_sets
0.000014     6354 filter.has_basis.mem_of_superset
0.000014     6355 filter.has_basis.mem_of_mem
0.000015     6356 filter.has_basis.exists_iff
0.000014     6357 filter.has_basis.mem_lift_iff
0.000014     6358 filter.exists_sets_subset_iff
0.000026     6359 filter.basis_sets
0.000015     6360 id.equations._eqn_1
0.000014     6361 filter.mem_lift_sets
0.000014     6362 monotone.comp
0.000019     6363 filter.comap_lift_eq
0.000019     6364 filter.monotone_principal
0.000017     6365 filter.lift'.equations._eqn_1
0.000017     6366 filter.comap_lift'_eq
0.000017     6367 monotone_comp_rel
0.000014     6368 monotone_id
0.000016     6369 filter.comap_lift_eq2
0.000017     6370 filter.comap_lift'_eq2
0.000015     6371 infi_le_infi
0.000015     6372 filter.lift'_mono'
0.000016     6373 uniform_space.comap._match_2
0.000017     6374 uniform_space.comap._match_3
0.000018     6375 uniform_space.core.comp
0.000015     6376 uniform_space.comap._proof_3
0.000016     6377 nhds
0.000015     6378 interior
0.000016     6379 is_open_interior
0.000017     6380 set.sUnion_subset
0.000015     6381 interior_subset
0.000016     6382 set.subset_sUnion_of_mem
0.000015     6383 interior_maximal
0.000017     6384 is_open.interior_eq
0.000014     6385 interior_eq_iff_open
0.000016     6386 subset_interior_iff_open
0.000016     6387 interior.equations._eqn_1
0.000016     6388 mem_interior
0.000015     6389 nhds.equations._eqn_1
0.000016     6390 nhds_def
0.000015     6391 is_open_inter
0.000016     6392 is_open_univ
0.000015     6393 nhds_basis_opens
0.000016     6394 mem_nhds_sets_iff
0.000014     6395 interior_eq_nhds'
0.000016     6396 interior_eq_nhds
0.000015     6397 is_open_iff_nhds
0.000016     6398 uniform_space.is_open_uniformity
0.000015     6399 is_open_uniformity
0.000017     6400 refl_le_uniformity
0.000014     6401 refl_mem_uniformity
0.000016     6402 filter.mem_lift'_sets
0.000015     6403 comp_le_uniformity
0.000016     6404 comp_mem_uniformity_sets
0.000016     6405 mem_nhds_uniformity_iff_right
0.000014     6406 is_open_induced_iff
0.000016     6407 mem_nhds_induced
0.000015     6408 nhds_induced
0.000016     6409 filter.comap.equations._eqn_1
0.000015     6410 ball_congr
0.000015     6411 uniform_space.ball
0.000016     6412 nhds_eq_comap_uniformity_aux
0.000015     6413 nhds_eq_comap_uniformity
0.000016     6414 uniform_space.mem_nhds_iff
0.000015     6415 uniform_space.ball_mem_nhds
0.000016     6416 mem_nhds_left
0.000015     6417 uniform_space.comap._proof_4
0.000014     6418 uniform_space.comap
0.000017     6419 uniformity_dist_of_mem_uniformity
0.000015     6420 canonically_ordered_semiring.zero_lt_one
0.000016     6421 nonempty.elim_to_inhabited
0.000015     6422 option.nontrivial
0.000016     6423 with_top.nontrivial
0.000015     6424 ennreal.nontrivial
0.000014     6425 ennreal.zero_lt_one
0.000017     6426 uniformity_basis_edist
0.000015     6427 mem_uniformity_edist
0.000015     6428 edist_mem_uniformity
0.000015     6429 emetric_space.induced._match_1
0.000016     6430 emetric_space.induced._proof_4
0.000016     6431 emetric_space.induced._proof_5
0.000015     6432 emetric_space.induced
0.000015     6433 subtype.ext_iff
0.000016     6434 subtype.ext_iff_val
0.000015     6435 subtype.emetric_space._proof_1
0.000016     6436 subtype.emetric_space
0.000015     6437 lt_top_iff_ne_top
0.000015     6438 pseudo_emetric_space.induced._proof_1
0.000016     6439 pseudo_emetric_space.induced._proof_2
0.000015     6440 pseudo_emetric_space.induced._proof_3
0.000016     6441 pseudo_emetric_space.induced._match_1
0.000015     6442 pseudo_emetric_space.induced._proof_4
0.000016     6443 pseudo_emetric_space.induced
0.000015     6444 subtype.pseudo_emetric_space
0.000016     6445 edist_triangle_left
0.000015     6446 ennreal.top_add
0.000016     6447 with_top.add_lt_top
0.000015     6448 ennreal.add_lt_top
0.000016     6449 ennreal.coe_lt_top
0.000015     6450 ennreal.add_top
0.000016     6451 ne_top_of_lt
0.000015     6452 ennreal.add_lt_add
0.000015     6453 edist_ne_top_of_mem_ball
0.000014     6454 metric_space_emetric_ball
0.000014     6455 expr.coord
0.000016     6456 expr.coord.cases_on
0.000016     6457 expr.coord.repr._sunfold
0.000016     6458 omega.nat.preterm
0.000015     6459 omega.nat.preform
0.000014     6460 omega.nat.preform.cases_on
0.000017     6461 omega.nat.preform.below
0.000015     6462 omega.nat.preform.brec_on
0.000014     6463 pprod.snd
0.000017     6464 omega.nat.push_neg._main
0.000014     6465 omega.nat.push_neg
0.000017     6466 omega.nat.nnf._main
0.000015     6467 omega.nat.nnf
0.000016     6468 omega.nat.nnf._sunfold
0.000014     6469 right_cancel_monoid
0.000016     6470 right_cancel_monoid.mul
0.000015     6471 right_cancel_monoid.mul_assoc
0.000017     6472 right_cancel_monoid.one
0.131198     6473 right_cancel_monoid.one_mul
0.000059     6474 right_cancel_monoid.mul_one
0.000027     6475 right_cancel_monoid.npow
0.000014     6476 right_cancel_monoid.npow_zero'
0.000014     6477 right_cancel_monoid.npow_succ'
0.000014     6478 right_cancel_monoid.to_monoid
0.000015     6479 cancel_monoid
0.000014     6480 cancel_monoid.mul
0.000014     6481 cancel_monoid.mul_assoc
0.000014     6482 cancel_monoid.mul_right_cancel
0.000015     6483 cancel_monoid.one
0.000014     6484 cancel_monoid.one_mul
0.000014     6485 cancel_monoid.mul_one
0.000014     6486 cancel_monoid.npow
0.000014     6487 cancel_monoid.npow_zero'
0.000019     6488 cancel_monoid.npow_succ'
0.000018     6489 cancel_monoid.to_right_cancel_monoid
0.000015     6490 cancel_comm_monoid
0.000015     6491 cancel_comm_monoid.mul
0.000016     6492 cancel_comm_monoid.mul_assoc
0.000017     6493 cancel_comm_monoid.mul_left_cancel
0.000018     6494 cancel_comm_monoid.one
0.000015     6495 cancel_comm_monoid.one_mul
0.000016     6496 cancel_comm_monoid.mul_one
0.000017     6497 cancel_comm_monoid.npow
0.000018     6498 cancel_comm_monoid.npow_zero'
0.000016     6499 cancel_comm_monoid.npow_succ'
0.000017     6500 left_cancel_semigroup
0.000015     6501 left_cancel_semigroup.mul
0.000017     6502 left_cancel_semigroup.mul_assoc
0.000017     6503 left_cancel_semigroup.to_semigroup
0.000017     6504 left_cancel_semigroup.mul_left_cancel
0.000018     6505 mul_left_cancel
0.000017     6506 left_cancel_monoid
0.000017     6507 left_cancel_monoid.mul
0.000016     6508 left_cancel_monoid.mul_assoc
0.000017     6509 left_cancel_monoid.mul_left_cancel
0.000015     6510 left_cancel_monoid.to_left_cancel_semigroup
0.000015     6511 cancel_comm_monoid.to_left_cancel_monoid
0.000016     6512 cancel_comm_monoid.mul_comm
0.000017     6513 cancel_comm_monoid.to_comm_monoid
0.000015     6514 cancel_comm_monoid.to_cancel_monoid._proof_1
0.000016     6515 cancel_comm_monoid.to_cancel_monoid
0.000016     6516 linear_ordered_cancel_comm_monoid
0.000016     6517 ordered_cancel_comm_monoid
0.000015     6518 ordered_cancel_comm_monoid.mul
0.000017     6519 order_dual.ordered_comm_monoid._proof_1
0.000014     6520 order_dual.ordered_comm_monoid._proof_2
0.000017     6521 order_dual.ordered_comm_monoid._proof_3
0.000015     6522 order_dual.ordered_comm_monoid._proof_4
0.000016     6523 order_dual.ordered_comm_monoid._proof_5
0.000015     6524 order_dual.ordered_comm_monoid._proof_6
0.000016     6525 order_dual.ordered_comm_monoid._proof_7
0.000015     6526 order_dual.ordered_comm_monoid._proof_8
0.000015     6527 order_dual.ordered_comm_monoid._proof_9
0.000016     6528 order_dual.ordered_comm_monoid._proof_10
0.000016     6529 ordered_comm_monoid.mul_le_mul_left
0.000015     6530 mul_le_mul_left'
0.000016     6531 order_dual.ordered_comm_monoid._proof_11
0.000015     6532 ordered_comm_monoid.lt_of_mul_lt_mul_left
0.000015     6533 lt_of_mul_lt_mul_left'
0.000016     6534 order_dual.ordered_comm_monoid._proof_12
0.000015     6535 order_dual.ordered_comm_monoid
0.000016     6536 ordered_cancel_comm_monoid.mul_assoc
0.000015     6537 ordered_cancel_comm_monoid.one
0.000015     6538 ordered_cancel_comm_monoid.one_mul
0.000016     6539 ordered_cancel_comm_monoid.mul_one
0.000015     6540 ordered_cancel_comm_monoid.npow
0.000015     6541 ordered_cancel_comm_monoid.npow_zero'
0.000014     6542 ordered_cancel_comm_monoid.npow_succ'
0.000017     6543 ordered_cancel_comm_monoid.mul_comm
0.000015     6544 ordered_cancel_comm_monoid.le
0.000016     6545 ordered_cancel_comm_monoid.lt
0.000015     6546 ordered_cancel_comm_monoid.le_refl
0.000016     6547 ordered_cancel_comm_monoid.le_trans
0.000017     6548 ordered_cancel_comm_monoid.lt_iff_le_not_le
0.000015     6549 ordered_cancel_comm_monoid.le_antisymm
0.000016     6550 ordered_cancel_comm_monoid.mul_left_cancel
0.000016     6551 ordered_cancel_comm_monoid.mul_le_mul_left
0.000014     6552 ordered_cancel_comm_monoid.to_partial_order
0.000016     6553 ordered_cancel_comm_monoid.to_cancel_comm_monoid
0.000015     6554 ordered_cancel_comm_monoid.le_of_mul_le_mul_left
0.000015     6555 le_of_mul_le_mul_left'
0.000016     6556 ordered_cancel_comm_monoid.to_ordered_comm_monoid._proof_1
0.000015     6557 ordered_cancel_comm_monoid.to_ordered_comm_monoid
0.000017     6558 order_dual.ordered_cancel_comm_monoid._proof_1
0.000014     6559 order_dual.ordered_cancel_comm_monoid._proof_2
0.000017     6560 order_dual.ordered_cancel_comm_monoid._proof_3
0.000015     6561 order_dual.ordered_cancel_comm_monoid._proof_4
0.000014     6562 order_dual.ordered_cancel_comm_monoid._proof_5
0.000016     6563 order_dual.ordered_cancel_comm_monoid._proof_6
0.000015     6564 order_dual.ordered_cancel_comm_monoid._proof_7
0.000017     6565 order_dual.ordered_cancel_comm_monoid._proof_8
0.000015     6566 order_dual.ordered_cancel_comm_monoid._proof_9
0.000016     6567 order_dual.ordered_cancel_comm_monoid._proof_10
0.147605     6568 order_dual.ordered_cancel_comm_monoid._proof_11
0.000079     6569 order_dual.ordered_cancel_comm_monoid._proof_12
0.000020     6570 order_dual.ordered_cancel_comm_monoid._proof_13
0.000015     6571 order_dual.ordered_cancel_comm_monoid
0.000015     6572 linear_ordered_cancel_comm_monoid.mul
0.000014     6573 linear_ordered_cancel_comm_monoid.mul_assoc
0.000014     6574 linear_ordered_cancel_comm_monoid.mul_left_cancel
0.000014     6575 linear_ordered_cancel_comm_monoid.one
0.000014     6576 linear_ordered_cancel_comm_monoid.one_mul
0.000015     6577 linear_ordered_cancel_comm_monoid.mul_one
0.000014     6578 linear_ordered_cancel_comm_monoid.npow
0.000015     6579 linear_ordered_cancel_comm_monoid.npow_zero'
0.000014     6580 linear_ordered_cancel_comm_monoid.npow_succ'
0.000014     6581 linear_ordered_cancel_comm_monoid.mul_comm
0.000018     6582 linear_ordered_cancel_comm_monoid.le
0.000019     6583 linear_ordered_cancel_comm_monoid.lt
0.000016     6584 linear_ordered_cancel_comm_monoid.le_refl
0.000017     6585 linear_ordered_cancel_comm_monoid.le_trans
0.000015     6586 linear_ordered_cancel_comm_monoid.lt_iff_le_not_le
0.000016     6587 linear_ordered_cancel_comm_monoid.le_antisymm
0.000015     6588 linear_ordered_cancel_comm_monoid.mul_le_mul_left
0.000016     6589 linear_ordered_cancel_comm_monoid.le_of_mul_le_mul_left
0.000018     6590 linear_ordered_cancel_comm_monoid.to_ordered_cancel_comm_monoid
0.000017     6591 order_dual.linear_ordered_cancel_comm_monoid._proof_7
0.000015     6592 norm_cast.label
0.000015     6593 norm_cast.label.move.inj
0.000016     6594 norm_cast.label.move.inj_arrow
0.000017     6595 filter.prod
0.000017     6596 filter.tendsto_inf
0.000018     6597 filter.tendsto.prod_mk
0.000015     6598 set.set_semiring
0.000016     6599 set.image2
0.000015     6600 set.has_mul
0.000016     6601 set.union_assoc
0.000015     6602 set.empty_union
0.000017     6603 set.union_empty
0.000015     6604 set.set_semiring.add_comm_monoid._proof_1
0.000017     6605 set.set_semiring.add_comm_monoid._proof_2
0.000015     6606 set.union_comm
0.000014     6607 set.set_semiring.add_comm_monoid
0.000016     6608 set.mem_image2
0.000015     6609 set.image2_empty_left
0.000014     6610 set.empty_mul
0.000016     6611 set.set_semiring.mul_zero_class._proof_1
0.000015     6612 set.image2_empty_right
0.000015     6613 set.mul_empty
0.000014     6614 set.set_semiring.mul_zero_class._proof_2
0.000014     6615 set.set_semiring.mul_zero_class
0.000014     6616 set.set_semiring.semiring._proof_12
0.000015     6617 pgame
0.000014     6618 pgame.short
0.000016     6619 pgame.short.rec_on
0.000015     6620 tactic.tfae.arrow
0.000017     6621 tactic.tfae.arrow.sizeof
0.000015     6622 tactic.tfae.arrow.left.sizeof_spec
0.000014     6623 local_equiv
0.000016     6624 local_equiv.source
0.000015     6625 local_equiv.target
0.000016     6626 nhds_within
0.000015     6627 continuous_within_at
0.000016     6628 continuous_on
0.000015     6629 local_equiv.to_fun
0.000015     6630 local_equiv.inv_fun
0.000016     6631 local_homeomorph
0.000015     6632 local_homeomorph.to_local_equiv
0.000016     6633 charted_space
0.000016     6634 singleton_charted_space._proof_1
0.000014     6635 singleton_charted_space._proof_2
0.000016     6636 singleton_charted_space
0.000016     6637 singleton_charted_space.equations._eqn_1
0.000014     6638 superset
0.000016     6639 filter.ne_bot
0.000016     6640 cluster_pt
0.000014     6641 is_compact
0.000016     6642 boolean_algebra.to_core
0.000015     6643 is_closed
0.000016     6644 set.nonempty.mono
0.000016     6645 set.subset_Inter
0.000014     6646 set.Inter_subset
0.000016     6647 set.Inter_subset_of_subset
0.000016     6648 set.Inter_subset_Inter
0.000014     6649 set.mem_compl_eq
0.000016     6650 is_compl
0.000015     6651 sup_of_le_right
0.000016     6652 bot_sup_eq
0.000015     6653 inf_le_inf
0.000016     6654 inf_le_inf_left
0.000015     6655 inf_eq_bot_iff_le_compl
0.000016     6656 is_compl.top_le_sup
0.000016     6657 is_compl.sup_eq_top
0.000014     6658 disjoint.eq_bot
0.000016     6659 is_compl.inf_le_bot
0.000015     6660 is_compl.disjoint
0.000016     6661 is_compl.inf_eq_bot
0.000014     6662 is_compl.inf_left_eq_bot_iff
0.000017     6663 is_compl.disjoint_left_iff
0.000014     6664 is_compl.symm
0.000017     6665 is_compl.disjoint_right_iff
0.000014     6666 is_compl.le_left_iff
0.000017     6667 order_dual.bounded_distrib_lattice._proof_1
0.000015     6668 order_dual.bounded_distrib_lattice._proof_2
0.000016     6669 order_dual.bounded_distrib_lattice._proof_3
0.000015     6670 order_dual.bounded_distrib_lattice._proof_4
0.000016     6671 order_dual.bounded_distrib_lattice._proof_5
0.000015     6672 order_dual.bounded_distrib_lattice._proof_6
0.000016     6673 order_dual.bounded_distrib_lattice._proof_7
0.000015     6674 order_dual.bounded_distrib_lattice._proof_8
0.000017     6675 order_dual.bounded_distrib_lattice._proof_9
0.000015     6676 order_dual.bounded_distrib_lattice._proof_10
0.000016     6677 order_dual.distrib_lattice._proof_1
0.579312     6678 order_dual.distrib_lattice._proof_2
0.000077     6679 order_dual.distrib_lattice._proof_3
0.000023     6680 order_dual.distrib_lattice._proof_4
0.000015     6681 order_dual.distrib_lattice._proof_5
0.000015     6682 order_dual.distrib_lattice._proof_6
0.000014     6683 order_dual.distrib_lattice._proof_7
0.000014     6684 order_dual.distrib_lattice._proof_8
0.000014     6685 order_dual.distrib_lattice._proof_9
0.000014     6686 order_dual.distrib_lattice._proof_10
0.000014     6687 order_dual.distrib_lattice._proof_11
0.000014     6688 order_dual.distrib_lattice
0.000014     6689 order_dual.bounded_distrib_lattice._proof_11
0.000015     6690 order_dual.bounded_distrib_lattice._proof_12
0.000014     6691 order_dual.bounded_distrib_lattice._proof_13
0.000014     6692 order_dual.bounded_distrib_lattice
0.000014     6693 is_compl.to_order_dual
0.000014     6694 is_compl.left_le_iff
0.000017     6695 is_compl.right_le_iff
0.000017     6696 is_compl.antimono
0.000017     6697 is_compl.right_unique
0.000017     6698 is_compl.of_eq
0.000016     6699 is_compl_compl
0.000016     6700 is_compl.compl_eq
0.000017     6701 semilattice_sup_top.to_semilattice_sup
0.000017     6702 semilattice_sup_top.top
0.000017     6703 semilattice_sup_top.le_top
0.000017     6704 semilattice_sup_top.to_order_top
0.000015     6705 sup_of_le_left
0.000014     6706 top_sup_eq
0.000017     6707 semilattice_sup_top_of_bounded_lattice._proof_1
0.000015     6708 semilattice_sup_top_of_bounded_lattice
0.000014     6709 is_compl_top_bot
0.000017     6710 compl_top
0.000016     6711 set.compl_univ
0.000016     6712 compl_compl
0.000015     6713 compl_le_compl
0.000016     6714 compl_le_compl_iff_le
0.000015     6715 set.compl_subset_compl
0.000016     6716 inf_sup_right
0.000016     6717 sup_left_comm
0.000014     6718 inf_left_comm
0.000016     6719 sup_top_eq
0.000015     6720 top_inf_eq
0.000015     6721 is_compl.sup_inf
0.000016     6722 is_compl.inf_sup
0.000015     6723 compl_inf
0.000016     6724 set.compl_inter
0.000015     6725 push_neg.not_forall_eq
0.000014     6726 not_not_of_not_imp
0.000017     6727 decidable.of_not_imp
0.000039     6728 not_of_not_imp
0.000017     6729 not_imp_of_and_not
0.000015     6730 decidable.not_imp
0.000017     6731 not_imp
0.000015     6732 push_neg.not_implies_eq
0.000014     6733 set.nonempty.ne_empty
0.000016     6734 set.empty_not_nonempty
0.000017     6735 filter.mem_bot_sets
0.000015     6736 filter.empty_in_sets_eq_bot
0.000017     6737 filter.ne_bot.ne'
0.000014     6738 filter.nonempty_of_mem_sets
0.000017     6739 filter.forall_sets_nonempty_iff_ne_bot
0.000015     6740 filter.has_basis.forall_iff
0.000015     6741 filter.has_basis.ne_bot_iff
0.000016     6742 filter.bounded_distrib_lattice._proof_1
0.000015     6743 filter.bounded_distrib_lattice._proof_2
0.000016     6744 filter.bounded_distrib_lattice._proof_3
0.000015     6745 filter.bounded_distrib_lattice._proof_4
0.000015     6746 filter.bounded_distrib_lattice._proof_5
0.000016     6747 filter.bounded_distrib_lattice._proof_6
0.000015     6748 filter.bounded_distrib_lattice._proof_7
0.000015     6749 filter.bounded_distrib_lattice._proof_8
0.000016     6750 filter.bounded_distrib_lattice._proof_9
0.000015     6751 filter.bounded_distrib_lattice._proof_10
0.000016     6752 filter.mem_sup_sets
0.000015     6753 filter.mem_inf_sets
0.000016     6754 set.subset_union_left
0.000016     6755 set.subset_union_right
0.000016     6756 generalized_boolean_algebra.le_sup_inf
0.000015     6757 generalized_boolean_algebra.to_distrib_lattice
0.000017     6758 boolean_algebra.to_generalized_boolean_algebra
0.000015     6759 set.union_subset
0.000014     6760 filter.bounded_distrib_lattice._proof_11
0.000016     6761 filter.bounded_distrib_lattice._proof_12
0.000015     6762 filter.bounded_distrib_lattice._proof_13
0.000016     6763 filter.bounded_distrib_lattice
0.000015     6764 imp_and_distrib
0.000017     6765 set.subset_inter_iff
0.000015     6766 filter.inf_principal
0.000016     6767 set.inter_compl_self
0.000015     6768 filter.principal_empty
0.000014     6769 set.union_subset_iff
0.000014     6770 filter.sup_principal
0.000014     6771 em
0.000017     6772 set.union_compl_self
0.000015     6773 filter.principal_univ
0.000016     6774 filter.is_compl_principal
0.000015     6775 decidable.not_or_of_imp
0.000016     6776 or.neg_resolve_left
0.000015     6777 decidable.imp_iff_not_or
0.000016     6778 imp_iff_not_or
0.000015     6779 is_compl.le_right_iff
0.000017     6780 filter.mem_inf_principal
0.000015     6781 set.mem_inter_iff
0.000016     6782 filter.has_basis.inf_principal
0.000015     6783 filter.has_basis.inf_principal_ne_bot_iff
0.000017     6784 filter.inf_principal_ne_bot_iff
0.000015     6785 set.not_subset
0.000016     6786 set.inter_compl_nonempty_iff
0.000015     6787 filter.ne_bot_iff
0.000016     6788 filter.mem_iff_inf_principal_compl
0.000016     6789 filter.not_mem_iff_inf_principal_compl
0.000015     6790 is_compact.compl_mem_sets
0.000016     6791 is_compact.compl_mem_sets_of_nhds_within
0.000015     6792 is_compact.induction_on
0.725601     6793 mem_nhds_within_of_mem_nhds
0.000077     6794 mem_nhds_sets
0.000023     6795 is_compact.elim_directed_cover
0.000015     6796 finset.inhabited_finset
0.000014     6797 is_open_bUnion
0.000014     6798 supr_eq_supr_finset
0.000015     6799 set.Union_eq_Union_finset
0.000014     6800 directed_of_sup
0.000014     6801 finset.semilattice_sup_bot._proof_1
0.000014     6802 finset.semilattice_sup_bot._proof_2
0.000015     6803 finset.semilattice_sup_bot._proof_3
0.000014     6804 finset.semilattice_sup_bot._proof_4
0.000014     6805 finset.semilattice_sup_bot._proof_5
0.000014     6806 finset.semilattice_sup_bot._proof_6
0.000014     6807 finset.semilattice_sup_bot._proof_7
0.000019     6808 finset.semilattice_sup_bot._proof_8
0.000019     6809 finset.semilattice_sup_bot
0.000018     6810 set.bUnion_subset
0.000016     6811 set.subset_bUnion_of_mem
0.000017     6812 set.bUnion_subset_bUnion_left
0.000015     6813 is_compact.elim_finite_subcover
0.000015     6814 is_closed.is_open_compl
0.000016     6815 is_compact.elim_finite_subfamily_closed
0.000017     6816 is_open_compl_iff
0.000017     6817 cond._main
0.000017     6818 cond
0.000017     6819 set.mem_union_eq
0.000017     6820 bool.exists_bool
0.000016     6821 bool.cond_ff
0.000017     6822 bool.cond_tt
0.000016     6823 set.union_eq_Union
0.000015     6824 bool.forall_bool
0.000015     6825 is_open_union
0.000016     6826 is_closed_inter
0.000015     6827 set.inter_empty
0.000016     6828 is_trans
0.000015     6829 is_trans.trans
0.000016     6830 trans
0.000015     6831 directed.finset_le
0.000016     6832 trans_of
0.000015     6833 is_trans.swap
0.000016     6834 has_le.le.is_trans
0.000016     6835 ge.is_trans
0.000014     6836 set.subset_bInter
0.000017     6837 is_compact.nonempty_Inter_of_directed_nonempty_compact_closed
0.000015     6838 euclidean_domain.cases_on
0.000015     6839 euclidean_domain.no_confusion_type
0.000016     6840 euclidean_domain.no_confusion
0.000015     6841 euclidean_domain.mk.inj
0.000015     6842 euclidean_domain.mk.inj_arrow
0.000016     6843 has_norm
0.000015     6844 metric_space.to_pseudo_metric_space
0.000016     6845 has_norm.norm
0.000015     6846 normed_group
0.000015     6847 asymptotics.is_O_with
0.000016     6848 asymptotics.is_O
0.000014     6849 normed_field
0.000016     6850 normed_field.to_has_norm
0.000015     6851 normed_group.to_has_norm
0.000016     6852 real.linear_ordered_add_comm_group
0.000015     6853 real.pseudo_metric_space._proof_1
0.000016     6854 abs_sub
0.000015     6855 real.pseudo_metric_space._proof_2
0.000016     6856 abs_sub_le
0.000015     6857 real.pseudo_metric_space._proof_3
0.000016     6858 real.pseudo_metric_space._proof_4
0.000015     6859 real.pseudo_metric_space._proof_5
0.000016     6860 real.pseudo_metric_space._proof_6
0.000017     6861 real.pseudo_metric_space._proof_7
0.000015     6862 real.pseudo_metric_space._proof_8
0.000014     6863 real.pseudo_metric_space
0.000017     6864 real.metric_space._proof_1
0.000015     6865 real.metric_space
0.000016     6866 real.normed_group._proof_1
0.000015     6867 real.normed_group
0.000016     6868 normed_group.to_metric_space
0.000015     6869 normed_group.to_add_comm_group
0.000016     6870 normed_group.dist_eq
0.000015     6871 real.normed_field
0.000016     6872 asymptotics.is_O.equations._eqn_1
0.000016     6873 asymptotics.is_O_with.equations._eqn_1
0.000014     6874 semi_normed_group
0.000016     6875 semi_normed_group.to_has_norm
0.000015     6876 real.norm_of_nonneg
0.000015     6877 semi_normed_group.to_pseudo_metric_space
0.000029     6878 semi_normed_group.to_add_comm_group
0.000015     6879 semi_normed_group.dist_eq
0.000014     6880 dist_eq_norm
0.000017     6881 dist_zero_right
0.000015     6882 norm_nonneg
0.000016     6883 norm_norm
0.000015     6884 normed_group.to_semi_normed_group
0.000016     6885 asymptotics.is_O_with_norm_left
0.000015     6886 asymptotics.is_O_norm_left
0.000017     6887 asymptotics.is_O_with_norm_right
0.000015     6888 asymptotics.is_O_norm_right
0.000016     6889 asymptotics.is_O_norm_norm
0.000015     6890 normalization_monoid.norm_unit_zero
0.000016     6891 units.coe_one
0.000014     6892 normalize._proof_1
0.000017     6893 normalization_monoid.norm_unit_coe_units
0.000014     6894 norm_unit_one
0.000017     6895 normalize._proof_2
0.000014     6896 normalization_monoid.norm_unit_mul
0.000017     6897 normalize._proof_3
0.000015     6898 normalize
0.000015     6899 gcd_monoid
0.000014     6900 gcd_monoid.lcm
0.000017     6901 associated
0.000015     6902 associated.refl
0.000016     6903 associated_of_dvd_dvd
0.000015     6904 normalize_apply
0.000016     6905 normalize_eq_normalize
0.000015     6906 dvd_antisymm_of_normalize_eq
0.000016     6907 gcd_monoid.norm_unit
0.000015     6908 gcd_monoid.norm_unit_zero
0.000016     6909 gcd_monoid.norm_unit_mul
0.000015     6910 gcd_monoid.norm_unit_coe_units
0.000016     6911 gcd_monoid.to_normalization_monoid
0.000015     6912 normalize_zero
0.000016     6913 gcd_monoid.gcd
0.000015     6914 gcd_monoid.normalize_gcd
0.000016     6915 normalize_gcd
0.000015     6916 gcd_monoid.gcd_mul_lcm
0.000016     6917 gcd_mul_lcm
0.000015     6918 left_inv_eq_right_inv
0.150612     6919 group.mul_left_inv
0.000079     6920 mul_left_inv
0.000027     6921 inv_mul_self
0.000019     6922 inv_eq_of_mul_eq_one
0.000015     6923 inv_inv
0.000014     6924 eq_inv_of_mul_eq_one
0.000014     6925 mul_eq_one_iff_eq_inv
0.000014     6926 mul_inv_eq_one
0.000014     6927 norm_unit_mul_norm_unit
0.000014     6928 normalize_idem
0.000014     6929 gcd_monoid.gcd_dvd_right
0.000014     6930 gcd_monoid.gcd_dvd_left
0.000014     6931 gcd_eq_normalize
0.000014     6932 gcd_monoid.dvd_gcd
0.000014     6933 gcd_zero_left
0.000015     6934 gcd_eq_zero_iff
0.000014     6935 associated.symm
0.000019     6936 associated_zero_iff_eq_zero
0.000018     6937 associated_normalize
0.000018     6938 normalize_eq_zero
0.000017     6939 cancel_monoid_with_zero.to_no_zero_divisors
0.000017     6940 gcd_monoid.lcm_zero_left
0.000017     6941 gcd_monoid.lcm_zero_right
0.000018     6942 lcm_eq_zero_iff
0.000017     6943 normalize_lcm
0.000018     6944 eq_zero_of_zero_dvd
0.000017     6945 zero_dvd_iff
0.000018     6946 mul_dvd_mul_iff_left
0.000015     6947 dvd_trans
0.000017     6948 units.mul_right_dvd
0.000014     6949 normalize_dvd_iff
0.000017     6950 units.dvd_mul_right
0.000015     6951 dvd_normalize_iff
0.000017     6952 mul_dvd_mul
0.000017     6953 mul_dvd_mul_left
0.000016     6954 gcd_mul_left
0.000015     6955 gcd_mul_right
0.000014     6956 dvd_gcd_iff
0.000014     6957 mul_left_inj'
0.000015     6958 mul_dvd_mul_iff_right
0.000016     6959 lcm_dvd_iff
0.000017     6960 lcm_dvd
0.000015     6961 dvd_lcm_right
0.000024     6962 dvd_lcm_left
0.000016     6963 lcm_comm
0.000014     6964 gcd_monoid.lcm.is_commutative
0.000014     6965 dvd.trans
0.000017     6966 lcm_assoc
0.000017     6967 gcd_monoid.lcm.is_associative
0.000017     6968 finset.lcm
0.000016     6969 multiset.lcm
0.000014     6970 multiset.lcm_zero
0.000014     6971 is_unit
0.000014     6972 units.mul_inv_cancel_left
0.000014     6973 units.coe_dvd
0.000015     6974 is_unit.dvd
0.000014     6975 is_unit_one
0.000016     6976 multiset.lcm_cons
0.000015     6977 multiset.lcm_dvd
0.000017     6978 finset.lcm_dvd_iff
0.000015     6979 finset.lcm_dvd
0.000016     6980 finset.dvd_lcm
0.000015     6981 finset.lcm_mono_fun
0.000018     6982 finsupp
0.000015     6983 set.inj_on
0.000017     6984 finset.set.has_coe_t
0.000017     6985 finsupp.support
0.000015     6986 set.finite
0.000017     6987 list.pairwise_map
0.000015     6988 list.pairwise_map_of_pairwise
0.000017     6989 list.pairwise.iff_of_mem
0.000015     6990 list.pairwise.and_mem
0.000017     6991 list.nodup_map_on
0.000014     6992 multiset.nodup_map_on
0.000015     6993 multiset.nodup_map
0.000014     6994 set.to_finset._proof_1
0.000016     6995 set.to_finset
0.000015     6996 set.finite.fintype
0.000016     6997 set.finite.to_finset
0.000015     6998 set.finite_of_finite_image
0.000016     6999 and_iff_right_of_imp
0.000016     7000 and_iff_right_iff_imp
0.000014     7001 set.inter_eq_right_iff_subset
0.000014     7002 set.inter_eq_self_of_subset_right
0.000016     7003 set.fintype_subset._proof_1
0.000015     7004 quot.rec_on
0.000014     7005 list.pmap._main
0.000017     7006 list.pmap
0.000015     7007 list.pmap._main.equations._eqn_1
0.000016     7008 list.pmap.equations._eqn_1
0.000015     7009 list.pmap._main._proof_1
0.000016     7010 list.pmap._main._proof_2
0.000015     7011 list.pmap._main.equations._eqn_2
0.000014     7012 list.pmap.equations._eqn_2
0.000019     7013 list.perm.pmap
0.000014     7014 multiset.pmap._proof_1
0.000017     7015 multiset.pmap
0.000017     7016 fintype.subtype._proof_1
0.000014     7017 list.attach._proof_1
0.000017     7018 list.attach
0.000015     7019 list.attach.equations._eqn_1
0.000016     7020 list.map_pmap
0.000015     7021 list.pmap_congr
0.000014     7022 list.pmap_eq_map_attach
0.000016     7023 list.nodup_map
0.000015     7024 list.pmap_eq_map
0.000015     7025 id.def
0.000016     7026 list.map_id
0.000015     7027 list.attach_map_val
0.000014     7028 list.pairwise_of_pairwise_map
0.000017     7029 list.nodup_of_nodup_map
0.000015     7030 list.nodup_attach
0.000014     7031 list.nodup_pmap
0.000016     7032 multiset.nodup_pmap
0.000015     7033 fintype.subtype._proof_2
0.000016     7034 list.mem_attach
0.000015     7035 list.mem_pmap
0.000016     7036 multiset.mem_pmap
0.000015     7037 fintype.subtype._match_1
0.000017     7038 fintype.subtype._proof_3
0.000015     7039 fintype.subtype
0.000014     7040 fintype.of_finset
0.000016     7041 finset.filter._proof_1
0.000015     7042 finset.filter
0.000016     7043 finset.mem_filter
0.000015     7044 list.map_congr
0.000016     7045 multiset.map_congr
0.000015     7046 subtype.val_eq_coe
0.000016     7047 set.to_finset.equations._eqn_1
0.000015     7048 finset.mem_mk
0.000016     7049 finset.mem_univ_val
0.000015     7050 set.mem_to_finset
0.000016     7051 set.mem_sep_eq
0.000015     7052 set.fintype_sep._proof_1
0.000016     7053 set.fintype_sep
0.000017     7054 set.fintype_inter
0.000015     7055 set.fintype_subset
0.000016     7056 classical.dec_pred
0.000015     7057 set.finite.subset
0.000016     7058 set.image_subset_iff
0.000015     7059 set.image_preimage_subset
0.000016     7060 set.finite.preimage
0.000015     7061 set.finite_mem_finset
0.000016     7062 finset.finite_to_set
0.000015     7063 finset.preimage._proof_1
0.000017     7064 finset.preimage
0.000015     7065 finsupp.to_fun
0.117500     7066 finsupp.has_coe_to_fun
0.000074     7067 set.finite.mem_to_finset
0.000024     7068 finset.mem_preimage
0.000014     7069 finsupp.mem_support_to_fun
0.000015     7070 finsupp.comap_domain._proof_1
0.000014     7071 finsupp.comap_domain
0.000014     7072 finsupp.comap_domain.equations._eqn_1
0.000014     7073 int.add_neg_cancel_right
0.000014     7074 int.add_lt_add_left
0.000014     7075 int.add_lt_add_right
0.000014     7076 int.sub_left_lt_of_lt_add
0.000015     7077 equiv.perm
0.000014     7078 equiv.refl._proof_1
0.000014     7079 equiv.refl._proof_2
0.000014     7080 equiv.refl
0.000014     7081 function.left_inverse.comp
0.000014     7082 equiv.trans._proof_1
0.000014     7083 function.right_inverse.comp
0.000014     7084 equiv.trans._proof_2
0.000014     7085 equiv.trans
0.000014     7086 equiv_functor
0.000017     7087 equiv_functor.map
0.000017     7088 equiv.cases_on
0.000015     7089 equiv.no_confusion_type
0.000016     7090 equiv.no_confusion
0.000017     7091 equiv.mk.inj
0.000017     7092 equiv.mk.inj_eq
0.000017     7093 function.right_inverse.comp_eq_id
0.000017     7094 function.comp.right_id
0.000017     7095 function.comp.assoc
0.000014     7096 function.left_inverse.comp_eq_id
0.000017     7097 function.comp.left_id
0.000017     7098 function.left_inverse.eq_right_inverse
0.000016     7099 equiv.coe_fn_injective
0.000017     7100 equiv.ext
0.000015     7101 equiv.coe_trans
0.000016     7102 equiv.symm_apply_apply
0.000017     7103 equiv.symm_comp_self
0.000015     7104 equiv.coe_refl
0.000016     7105 equiv.trans_symm
0.000015     7106 equiv_functor.map_refl
0.000015     7107 equiv_functor.map_trans
0.000016     7108 equiv_functor.map_equiv._proof_1
0.000015     7109 equiv.apply_symm_apply
0.000016     7110 equiv.self_comp_symm
0.000015     7111 equiv.symm_trans
0.000015     7112 equiv_functor.map_equiv._proof_2
0.000016     7113 equiv_functor.map_equiv
0.000014     7114 functor
0.000017     7115 functor.map_const
0.000014     7116 functor.map
0.000014     7117 is_lawful_functor
0.000015     7118 is_lawful_functor.id_map
0.000013     7119 equiv_functor.of_is_lawful_functor._proof_1
0.000072     7120 is_lawful_functor.comp_map
0.000019     7121 equiv_functor.of_is_lawful_functor._proof_2
0.000016     7122 equiv_functor.of_is_lawful_functor
0.000016     7123 has_pure
0.000015     7124 has_seq
0.000014     7125 has_seq_left
0.000015     7126 has_seq_right
0.000016     7127 applicative
0.000015     7128 traversable
0.000016     7129 traversable.to_functor
0.000015     7130 applicative.to_functor
0.000016     7131 has_bind
0.000015     7132 monad
0.000016     7133 monad.to_applicative
0.000015     7134 option.monad
0.000015     7135 has_pure.pure
0.000016     7136 applicative.to_has_pure
0.000015     7137 option.traverse._main
0.000016     7138 option.traverse
0.000015     7139 option.traversable
0.000016     7140 traversable.traverse
0.000015     7141 id_bind
0.000015     7142 id.monad
0.000016     7143 id.mk
0.000015     7144 has_seq_left.seq_left
0.000016     7145 applicative.to_has_seq_left
0.000015     7146 has_seq.seq
0.000015     7147 applicative.to_has_seq
0.000016     7148 has_seq_right.seq_right
0.000015     7149 applicative.to_has_seq_right
0.000015     7150 is_lawful_applicative
0.000016     7151 functor.comp
0.000015     7152 functor.comp.mk
0.000015     7153 functor.comp.map._main
0.000016     7154 functor.comp.map
0.000015     7155 functor.comp.has_pure
0.000016     7156 functor.comp.seq._main
0.000015     7157 functor.comp.seq
0.000016     7158 functor.comp.applicative
0.000016     7159 applicative_transformation
0.000016     7160 applicative_transformation.app
0.000015     7161 applicative_transformation.has_coe_to_fun
0.000015     7162 is_lawful_traversable
0.000016     7163 is_lawful_traversable.to_is_lawful_functor
0.000015     7164 is_lawful_applicative.to_is_lawful_functor
0.000016     7165 has_bind.bind
0.000015     7166 monad.to_has_bind
0.000015     7167 is_lawful_monad
0.000016     7168 is_lawful_monad.to_is_lawful_applicative
0.000016     7169 option.is_lawful_monad
0.000014     7170 option.is_lawful_traversable._proof_1
0.000016     7171 option.id_traverse
0.000016     7172 is_lawful_applicative.map_pure
0.000014     7173 functor.comp.functor
0.000017     7174 functor.comp.map_mk
0.000015     7175 functor.map_map
0.000016     7176 option.comp_traverse
0.000015     7177 option.traverse_eq_map_id
0.000015     7178 applicative_transformation.preserves_pure'
0.000016     7179 applicative_transformation.preserves_pure
0.000015     7180 is_lawful_applicative.pure_seq_eq_map
0.000015     7181 applicative_transformation.preserves_seq'
0.000016     7182 applicative_transformation.preserves_seq
0.000015     7183 applicative_transformation.preserves_map
0.000015     7184 option.naturality
0.000016     7185 option.is_lawful_traversable
0.000015     7186 equiv.injective
0.000016     7187 option.not_is_some_iff_eq_none
0.000016     7188 _private.3310278691.remove_none_aux._proof_1
0.000015     7189 _private.3310278691.remove_none_aux
0.000016     7190 option.some_injective
0.000015     7191 _private.3310278691.remove_none_aux.equations._eqn_1
0.000015     7192 equiv.apply_eq_iff_eq
0.524523     7193 _private.1660657303.remove_none_aux_none
0.000081     7194 equiv.symm_apply_eq
0.000023     7195 equiv.eq_symm_apply
0.000015     7196 option.is_some._main.equations._eqn_1
0.000014     7197 option.is_some.equations._eqn_1
0.000014     7198 option.is_some._main.equations._eqn_2
0.000014     7199 option.is_some.equations._eqn_2
0.000014     7200 option.is_some_iff_exists
0.000014     7201 _private.77680175.remove_none_aux_some
0.000014     7202 _private.4171312357.remove_none_aux_inv
0.000014     7203 equiv.remove_none._proof_1
0.000014     7204 equiv.remove_none
0.000014     7205 equiv.trans_assoc
0.000014     7206 equiv.perm.perm_group._proof_1
0.000014     7207 equiv.trans_refl
0.000014     7208 equiv.refl_trans
0.000017     7209 equiv.perm.perm_group._proof_2
0.000019     7210 equiv.perm.perm_group._proof_3
0.000017     7211 equiv.perm.perm_group._proof_4
0.000016     7212 equiv.perm.perm_group._proof_5
0.000014     7213 equiv.perm.perm_group._proof_6
0.000016     7214 equiv.perm.perm_group._proof_7
0.000017     7215 equiv.perm.perm_group
0.000017     7216 equiv.swap_core
0.000016     7217 equiv.swap_core.equations._eqn_1
0.000017     7218 equiv.swap_core_swap_core
0.000017     7219 equiv.swap._proof_1
0.000017     7220 equiv.swap._proof_2
0.000017     7221 equiv.swap
0.000015     7222 equiv_functor.map_equiv_apply
0.000015     7223 equiv.perm.coe_mul
0.000016     7224 equiv.swap_core_self
0.000015     7225 equiv.swap_self
0.000014     7226 equiv.swap_apply_def
0.000016     7227 equiv.swap_apply_right
0.000015     7228 equiv.remove_none_none
0.000016     7229 equiv.swap_apply_left
0.000016     7230 equiv.remove_none_some
0.000014     7231 equiv.swap_apply_of_ne_of_ne
0.000016     7232 map_equiv_remove_none
0.000015     7233 quaternion_algebra
0.000017     7234 quaternion
0.000015     7235 complex
0.000015     7236 complex.re
0.000016     7237 complex.im
0.000015     7238 quaternion.has_coe
0.000014     7239 complex.has_coe
0.000017     7240 complex.has_one
0.000015     7241 quaternion_algebra.re
0.000016     7242 quaternion_algebra.im_i
0.000015     7243 quaternion_algebra.im_j
0.000016     7244 quaternion_algebra.im_k
0.000015     7245 quaternion_algebra.has_add
0.000016     7246 quaternion_algebra.cases_on
0.000015     7247 quaternion_algebra.ext
0.000015     7248 quaternion_algebra.has_add_add_re
0.000016     7249 tactic.ring_exp.add_pf_sum_lt
0.000015     7250 pow_one
0.000015     7251 tactic.ring_exp.atom_to_sum_pf
0.000016     7252 tactic.ring_exp.add_pf_z_sum
0.000015     7253 quaternion_algebra.has_add_add_im_i
0.000016     7254 quaternion_algebra.has_add_add_im_j
0.000015     7255 quaternion_algebra.has_add_add_im_k
0.000016     7256 quaternion_algebra.ring._proof_1
0.000016     7257 quaternion_algebra.has_zero
0.000014     7258 quaternion_algebra.has_zero_zero_re
0.000016     7259 quaternion_algebra.has_zero_zero_im_i
0.000015     7260 quaternion_algebra.has_zero_zero_im_j
0.000017     7261 quaternion_algebra.has_zero_zero_im_k
0.000015     7262 quaternion_algebra.ring._proof_2
0.000014     7263 quaternion_algebra.ring._proof_3
0.000016     7264 quaternion_algebra.ring._proof_4
0.000016     7265 quaternion_algebra.ring._proof_5
0.000014     7266 quaternion_algebra.has_neg
0.000016     7267 quaternion_algebra.has_sub
0.000015     7268 quaternion_algebra.has_sub_sub_re
0.000017     7269 quaternion_algebra.has_neg_neg_re
0.000014     7270 tactic.ring_exp.sub_pf
0.000017     7271 tactic.ring_exp.negate_pf
0.000015     7272 tactic.ring_exp.mul_pf_sum
0.000014     7273 tactic.ring_exp.add_pf_sum_z
0.000017     7274 tactic.ring_exp.mul_p_pf_sum
0.000015     7275 tactic.ring_exp.prod_to_sum_pf
0.000014     7276 tactic.ring_exp.mul_pf_c_prod
0.000016     7277 tactic.ring_exp.mul_pf_c_c
0.000015     7278 tactic.ring_exp.mul_coeff_pf_mul_one
0.000016     7279 tactic.ring_exp.mul_p_pf_zero
0.000015     7280 tactic.ring_exp.mul_pf_zero
0.000016     7281 quaternion_algebra.has_sub_sub_im_i
0.000015     7282 quaternion_algebra.has_neg_neg_im_i
0.000016     7283 quaternion_algebra.has_sub_sub_im_j
0.000015     7284 quaternion_algebra.has_neg_neg_im_j
0.000018     7285 quaternion_algebra.has_sub_sub_im_k
0.000017     7286 quaternion_algebra.has_neg_neg_im_k
0.000015     7287 quaternion_algebra.ring._proof_6
0.000014     7288 quaternion_algebra.ring._proof_7
0.000017     7289 tactic.ring_exp.add_pf_sum_gt
0.000015     7290 quaternion_algebra.ring._proof_8
0.000014     7291 quaternion_algebra.has_mul
0.000016     7292 quaternion_algebra.has_mul_mul_re
0.000015     7293 quaternion_algebra.has_mul_mul_im_i
0.000016     7294 quaternion_algebra.has_mul_mul_im_j
0.000015     7295 quaternion_algebra.has_mul_mul_im_k
0.000016     7296 tactic.ring_exp.mul_pp_pf_prod_lt
0.000015     7297 tactic.ring_exp.mul_coeff_pf_one_mul
0.000016     7298 tactic.ring_exp.mul_pp_pf_prod_gt
0.000015     7299 tactic.ring_exp.mul_pf_prod_c
0.000016     7300 norm_num.mul_neg_neg
0.000015     7301 quaternion_algebra.ring._proof_9
0.000014     7302 quaternion_algebra.has_one
0.000016     7303 quaternion_algebra.has_one_one_re
0.334731     7304 quaternion_algebra.has_one_one_im_i
0.000076     7305 quaternion_algebra.has_one_one_im_j
0.000024     7306 quaternion_algebra.has_one_one_im_k
0.000015     7307 quaternion_algebra.ring._proof_10
0.000014     7308 quaternion_algebra.ring._proof_11
0.000014     7309 quaternion_algebra.ring._proof_12
0.000015     7310 quaternion_algebra.ring._proof_13
0.000014     7311 quaternion_algebra.ring._proof_14
0.000014     7312 quaternion_algebra.ring._proof_15
0.000014     7313 quaternion_algebra.ring
0.000015     7314 quaternion.ring
0.000014     7315 quaternion.coe_complex_one
0.000014     7316 monoid_hom
0.000014     7317 pi.has_one
0.000014     7318 pi.has_mul
0.000014     7319 pi.mul_one_class._proof_1
0.000018     7320 pi.mul_one_class._proof_2
0.000017     7321 pi.mul_one_class
0.000017     7322 monoid_hom.apply._proof_1
0.000018     7323 monoid_hom.apply._proof_2
0.000015     7324 monoid_hom.apply
0.000016     7325 nat.mul_le_mul_right
0.000018     7326 fin_prod_fin_equiv._proof_1
0.000015     7327 fin_prod_fin_equiv._proof_2
0.000017     7328 fin_prod_fin_equiv._proof_3
0.000017     7329 fin_prod_fin_equiv._proof_4
0.000019     7330 prod.mk.eta
0.000015     7331 prod.no_confusion_type
0.000016     7332 prod.no_confusion
0.000017     7333 prod.mk.inj
0.000018     7334 eq_true_of_and_eq_true_right
0.000015     7335 and_eq_of_eq_true_right
0.000014     7336 prod.mk.inj_iff
0.000017     7337 prod.ext_iff
0.000015     7338 prod.ext
0.000014     7339 fin.eq_of_veq
0.000016     7340 fin_prod_fin_equiv._match_1
0.000016     7341 fin_prod_fin_equiv._proof_5
0.000014     7342 fin_prod_fin_equiv._proof_6
0.000016     7343 fin_prod_fin_equiv
0.000015     7344 fin_prod_fin_equiv.equations._eqn_1
0.000014     7345 list.sublists_aux._main
0.000016     7346 list.sublists_aux
0.000016     7347 multiset.powerset_aux
0.000014     7348 list.sublists'_aux._main
0.000016     7349 list.sublists'_aux
0.000015     7350 list.sublists'
0.000016     7351 multiset.powerset_aux'
0.000015     7352 list.sublists
0.000016     7353 multiset.powerset_aux.equations._eqn_1
0.000015     7354 list.sublists.equations._eqn_1
0.000016     7355 multiset.coe_nil_eq_zero
0.000015     7356 list.sublists_aux₁._main
0.000017     7357 list.sublists_aux₁
0.000015     7358 list.sublists_aux₁._main.equations._eqn_2
0.000016     7359 list.sublists_aux₁.equations._eqn_2
0.000015     7360 list.sublists_aux._main.equations._eqn_2
0.000016     7361 list.sublists_aux.equations._eqn_2
0.000015     7362 list.sublists_aux₁_eq_sublists_aux
0.000016     7363 list.sublists_aux_cons_eq_sublists_aux₁
0.000015     7364 list.join._main
0.000015     7365 list.join
0.000016     7366 list.bind
0.000014     7367 list.ret
0.000016     7368 list.bind.equations._eqn_1
0.000015     7369 list.join._main.equations._eqn_1
0.000016     7370 list.join.equations._eqn_1
0.000015     7371 list.join._main.equations._eqn_2
0.000016     7372 list.join.equations._eqn_2
0.000015     7373 list.bind_ret_eq_map
0.000016     7374 list.cons_bind
0.000015     7375 list.append_bind
0.000016     7376 list.bind_append
0.000017     7377 list.sublists_aux₁_bind
0.000015     7378 multiset.powerset_aux_eq_map_coe
0.000016     7379 list.sublists'.equations._eqn_1
0.000015     7380 list.sublists'_aux._main.equations._eqn_2
0.000016     7381 list.sublists'_aux.equations._eqn_2
0.000015     7382 list.map_sublists'_aux
0.000016     7383 list.sublists'_aux_append
0.000015     7384 list.sublists'_aux_eq_sublists'
0.000017     7385 list.sublists'_cons
0.000015     7386 list.sublists_aux_eq_foldr.aux
0.000017     7387 list.sublists_aux_eq_foldr
0.000015     7388 list.sublists_aux_cons_cons
0.000015     7389 list.foldr_nil
0.000016     7390 list.map_nil
0.000014     7391 list.sublists_cons_perm_append
0.000017     7392 list.sublists_perm_sublists'
0.000015     7393 multiset.powerset_aux_perm_powerset_aux'
0.000014     7394 multiset.powerset_aux'_nil
0.000016     7395 multiset.powerset_aux'.equations._eqn_1
0.000015     7396 list.map_map
0.000014     7397 multiset.powerset_aux'_cons
0.000014     7398 multiset.cons_swap
0.000015     7399 multiset.cons_inj_right
0.000016     7400 multiset.powerset_aux'_perm
0.000015     7401 multiset.powerset_aux_perm
0.000015     7402 multiset.powerset._proof_1
0.000015     7403 multiset.powerset
0.000016     7404 multiset.quot_mk_to_coe
0.000016     7405 multiset.powerset_coe'
0.000016     7406 multiset.mem_coe
0.000015     7407 list.sublists'_nil
0.000016     7408 list.eq_of_mem_singleton
0.000015     7409 list.mem_singleton
0.000016     7410 list.mem_sublists'
0.000015     7411 list.subperm.equations._eqn_1
0.000016     7412 list.inhabited
0.000018     7413 multiset.mem_powerset
0.000015     7414 finset.powerset._proof_1
0.000018     7415 multiset.nodup_of_nodup_map
0.000024     7416 multiset.coe_map
0.000017     7417 multiset.powerset_coe
0.000014     7418 list.sublist.map
0.000014     7419 list.reverse_rec_on._proof_1
0.000017     7420 list.reverse_rec_on._proof_2
0.000015     7421 list.reverse_rec_on
0.000014     7422 list.monad
0.000016     7423 list.traverse._main
0.000015     7424 list.traverse
0.000017     7425 list.traversable
0.167723     7426 list.sublists_aux₁._main.equations._eqn_1
0.000076     7427 list.sublists_aux₁.equations._eqn_1
0.000026     7428 list.sublists_aux₁_append
0.000015     7429 list.bind_eq_bind
0.000049     7430 list.sublists_aux_cons_append
0.000016     7431 list.map_eq_map
0.000015     7432 list.map_id'
0.000014     7433 list.sublists_append
0.000014     7434 list.sublists_singleton
0.000014     7435 list.nil_bind
0.000014     7436 list.sublists_concat
0.000014     7437 list.sublist_append_of_sublist_left
0.000017     7438 list.sublist.append_right
0.000018     7439 list.sublist.reverse
0.000016     7440 list.reverse_sublist_iff
0.000017     7441 list.sublists_reverse
0.000015     7442 list.sublists_eq_sublists'
0.000016     7443 list.sublists'_reverse
0.000017     7444 list.mem_map_of_injective
0.000017     7445 list.reverse_involutive
0.000017     7446 list.reverse_injective
0.000017     7447 list.mem_sublists
0.000017     7448 list.append_sublist_append_right
0.000017     7449 list.map_ret_sublist_sublists
0.000016     7450 multiset.map_single_le_powerset
0.000015     7451 multiset.coe_nodup
0.000016     7452 list.nodup.sublist_ext
0.000018     7453 list.sublists'_eq_sublists
0.000017     7454 list.nodup_map_iff
0.000018     7455 list.lex
0.000014     7456 list.reverse_inj
0.000017     7457 list.lex.dcases_on
0.000017     7458 list.lex.to_ne
0.000015     7459 list.pairwise_sublists'
0.000016     7460 list.mem_reverse
0.000016     7461 list.pairwise_reverse
0.000014     7462 list.pairwise_sublists
0.000016     7463 list.nodup_sublists
0.000015     7464 list.nodup_reverse
0.000014     7465 list.nodup_sublists'
0.000016     7466 multiset.nodup_powerset
0.000016     7467 finset.powerset._proof_2
0.000014     7468 finset.powerset
0.000016     7469 finset.has_decidable_eq._main
0.000015     7470 finset.has_decidable_eq
0.000015     7471 multiset.nodup_erase_of_nodup
0.000016     7472 finset.erase._proof_1
0.000015     7473 finset.erase
0.000014     7474 finset.powerset.equations._eqn_1
0.000016     7475 finset.no_confusion_type
0.000015     7476 finset.no_confusion
0.000015     7477 finset.mk.inj
0.000016     7478 finset.mk.inj_eq
0.000014     7479 finset.mem_powerset
0.000017     7480 list.nodup_erase_eq_filter
0.000015     7481 multiset.nodup_erase_eq_filter
0.000016     7482 multiset.mem_erase_iff_of_nodup
0.000015     7483 finset.mem_erase
0.000016     7484 finset.subset_insert_iff
0.000015     7485 dec_em
0.000014     7486 finset.insert_erase
0.000017     7487 multiset.erase_subset
0.000015     7488 finset.erase_subset
0.000014     7489 finset.erase_insert_subset
0.000016     7490 finset.erase_eq_of_not_mem
0.000016     7491 finset.ne_insert_of_not_mem
0.000014     7492 finset.powerset_insert
0.000016     7493 finset.prod_union_inter
0.000015     7494 finset.prod_union
0.000016     7495 finset.disjoint_iff_ne
0.000015     7496 finset.not_mem_of_mem_powerset_of_not_mem
0.000014     7497 list.pw_filter_eq_self
0.000014     7498 list.erase_dup_eq_self
0.000014     7499 multiset.erase_dup_eq_self
0.000014     7500 finset.image_val_of_inj_on
0.000014     7501 multiset.map_map
0.000016     7502 finset.fold_image
0.000015     7503 finset.prod_image
0.000016     7504 and.imp_right
0.000015     7505 and_or_distrib_left
0.000016     7506 and.elim
0.000015     7507 not_and_self
0.000016     7508 finset.erase_insert
0.000015     7509 finset.prod_powerset_insert
0.000016     7510 measurable_space
0.000015     7511 set.Ici
0.000016     7512 filter.at_top
0.000015     7513 has_sum
0.000016     7514 summable
0.000014     7515 tsum
0.000016     7516 topological_space.generate_open
0.000015     7517 topological_space.generate_from
0.000016     7518 preorder.topology
0.000015     7519 ennreal.topological_space
0.000016     7520 measure_theory.outer_measure
0.000015     7521 measurable_space.measurable_set'
0.000016     7522 measurable_set
0.000016     7523 pairwise
0.000014     7524 function.on_fun
0.000016     7525 measure_theory.outer_measure.measure_of
0.000014     7526 t2_space
0.000017     7527 filter.has_basis.inf
0.000015     7528 filter.has_basis.inf_basis_ne_bot_iff
0.000014     7529 filter.has_basis.inf_ne_bot_iff
0.000017     7530 filter.inf_ne_bot_iff
0.000014     7531 t2_space.t2
0.000016     7532 eq_of_nhds_ne_bot
0.000015     7533 ne_bot_of_le_ne_bot
0.000016     7534 filter.ne_bot.mono
0.000015     7535 filter.ne_bot_of_le
0.000016     7536 is_least.unique
0.000015     7537 is_lub.unique
0.000016     7538 set.ball_image_of_ball
0.000015     7539 monotone.mem_upper_bounds_image
0.000015     7540 galois_connection.upper_bounds_l_image_subset
0.000016     7541 galois_connection.is_lub_l_image
0.000015     7542 galois_connection.l_bot
0.000015     7543 filter.map_bot
0.000016     7544 filter.map_eq_bot_iff
0.000015     7545 filter.map_ne_bot_iff
0.000016     7546 filter.ne_bot.map
0.000014     7547 filter.map_ne_bot
0.000016     7548 tendsto_nhds_unique
0.000015     7549 filter.has_basis_infi_principal
0.000016     7550 set.mem_Ici
0.000014     7551 set.left_mem_Ici
0.000017     7552 set.Ici_subset_Ici
0.000015     7553 filter.at_top_basis
0.000017     7554 set.nonempty_Ici
0.000015     7555 filter.at_top_ne_bot
0.000016     7556 has_sum.unique
0.000015     7557 tsum.equations._eqn_1
0.087200     7558 summable.has_sum
0.000065     7559 has_sum.tsum_eq
0.000024     7560 has_sum.equations._eqn_1
0.000014     7561 all_mem_nhds
0.000015     7562 all_mem_nhds_filter
0.000014     7563 tendsto_nhds
0.000014     7564 tendsto_const_nhds
0.000014     7565 has_sum_zero
0.000014     7566 tsum_zero
0.000014     7567 t1_space
0.000015     7568 regular_space
0.000014     7569 set.singleton_subset_iff
0.000014     7570 set.eq_empty_of_subset_empty
0.000014     7571 regular_space.t2_space._match_1
0.000014     7572 regular_space.t2_space._match_2
0.000017     7573 regular_space.t2_space._match_3
0.000017     7574 regular_space.t2_space._match_4
0.000017     7575 regular_space.regular
0.000014     7576 t1_space.t1
0.000017     7577 is_closed_singleton
0.000017     7578 regular_space.to_t1_space
0.000017     7579 regular_space.t2_space
0.000018     7580 set.Iio
0.000017     7581 order_topology
0.000017     7582 is_open_iff_forall_mem_open
0.000017     7583 t2_space.t1_space._match_1
0.000017     7584 t2_separation
0.000017     7585 set.mem_singleton_of_eq
0.000018     7586 t2_space.t1_space
0.000015     7587 Prop.linear_order._proof_1
0.000014     7588 Prop.linear_order._proof_2
0.000016     7589 Prop.linear_order._proof_3
0.000015     7590 Prop.linear_order._proof_4
0.000017     7591 Prop.linear_order._proof_5
0.000014     7592 Prop.linear_order._proof_6
0.000017     7593 Prop.linear_order._proof_7
0.000014     7594 Prop.linear_order._proof_8
0.000014     7595 Prop.linear_order._proof_9
0.000017     7596 Prop.linear_order
0.000014     7597 tmp_order._proof_1
0.000016     7598 tmp_order._proof_2
0.000015     7599 tmp_order._proof_3
0.000016     7600 topological_space.cases_on
0.000015     7601 topological_space_eq
0.000015     7602 complete_lattice_Prop._proof_1
0.000017     7603 complete_lattice_Prop._proof_2
0.000015     7604 complete_lattice_Prop._proof_3
0.000016     7605 complete_lattice_Prop._proof_4
0.000014     7606 complete_lattice_Prop._proof_5
0.000017     7607 complete_lattice_Prop._proof_6
0.000015     7608 complete_lattice_Prop._proof_7
0.000016     7609 complete_lattice_Prop._proof_8
0.000016     7610 complete_lattice_Prop._proof_9
0.000014     7611 complete_lattice_Prop._proof_10
0.000016     7612 complete_lattice_Prop._proof_11
0.000015     7613 complete_lattice_Prop._proof_12
0.000016     7614 complete_lattice_Prop._proof_13
0.000015     7615 complete_lattice_Prop._match_1
0.000016     7616 complete_lattice_Prop._proof_14
0.000015     7617 complete_lattice_Prop._proof_15
0.000016     7618 complete_lattice_Prop._proof_16
0.000015     7619 complete_lattice_Prop
0.000016     7620 tmp_order._proof_4
0.000015     7621 tmp_order
0.000016     7622 mk_of_closure._proof_1
0.000015     7623 mk_of_closure._proof_2
0.000016     7624 mk_of_closure._proof_3
0.000015     7625 mk_of_closure
0.000015     7626 topological_space.generate_open.rec_on
0.000016     7627 _private.2684659371.generate_from_le_iff_subset_is_open
0.000015     7628 gi_generate_from._proof_1
0.000014     7629 gi_generate_from._proof_2
0.000016     7630 gi_generate_from._proof_3
0.000015     7631 mk_of_closure_sets
0.000016     7632 gi_generate_from._proof_4
0.000015     7633 gi_generate_from
0.000016     7634 tmp_complete_lattice
0.000016     7635 topological_space.complete_lattice
0.000014     7636 prod.topological_space
0.000016     7637 order_closed_topology
0.000016     7638 set.prod
0.000014     7639 order_closed_topology.to_t2_space._match_1
0.000017     7640 order_closed_topology.to_t2_space._match_2
0.000015     7641 filter.prod.equations._eqn_1
0.000014     7642 prod.topological_space.equations._eqn_1
0.000016     7643 is_greatest.unique
0.000015     7644 is_glb.unique
0.000017     7645 set.insert
0.000015     7646 set.has_insert
0.000016     7647 monotone.mem_lower_bounds_image
0.000015     7648 galois_connection.lower_bounds_u_image_subset
0.000014     7649 galois_connection.is_glb_u_image
0.000017     7650 set.insert_eq
0.000015     7651 is_lub.union
0.000014     7652 is_glb.union
0.000016     7653 is_least.is_glb
0.000015     7654 set.eq_of_mem_singleton
0.000016     7655 is_greatest_singleton
0.000015     7656 is_least_singleton
0.000015     7657 is_glb_singleton
0.000016     7658 is_glb.insert
0.000014     7659 is_glb_pair
0.000016     7660 set.mem_insert_iff
0.000016     7661 exists_or_distrib
0.000014     7662 set.image_insert_eq
0.000016     7663 set.set_of_eq_eq_singleton
0.000015     7664 set.image_singleton
0.000016     7665 set.image_pair
0.000015     7666 galois_connection.u_inf
0.000017     7667 topological_space.nhds_adjoint._proof_1
0.000015     7668 topological_space.nhds_adjoint._match_1
0.000014     7669 topological_space.nhds_adjoint._proof_2
0.000016     7670 topological_space.nhds_adjoint._match_2
0.000015     7671 topological_space.nhds_adjoint._proof_3
0.000016     7672 topological_space.nhds_adjoint
0.000015     7673 topological_space.partial_order._proof_1
0.000016     7674 topological_space.partial_order._proof_2
0.000015     7675 topological_space.partial_order._proof_3
0.000016     7676 topological_space.partial_order._proof_4
0.000015     7677 topological_space.partial_order
2.037221     7678 supr_congr_Prop
0.000084     7679 infi_congr_Prop
0.000022     7680 le_nhds_iff
0.000014     7681 gc_nhds
0.000015     7682 nhds_inf
0.000014     7683 nhds_prod_eq
0.000014     7684 filter.has_basis.comap
0.000014     7685 filter.has_basis.prod
0.000014     7686 filter.has_basis.prod_nhds
0.000014     7687 prod.exists
0.000014     7688 is_open_prod_iff
0.000015     7689 order_closed_topology.is_closed_le'
0.000014     7690 continuous
0.000015     7691 set.preimage_compl
0.000014     7692 is_closed_compl_iff
0.000018     7693 is_open.is_closed_compl
0.000017     7694 continuous.is_open_preimage
0.000016     7695 continuous_def
0.000014     7696 continuous_iff_is_closed
0.000016     7697 topological_space.coinduced._proof_1
0.000017     7698 topological_space.coinduced._proof_2
0.000016     7699 set.preimage_sUnion
0.000017     7700 topological_space.coinduced._proof_3
0.000015     7701 topological_space.coinduced
0.000017     7702 continuous_iff_coinduced_le
0.000015     7703 continuous_inf_rng
0.000016     7704 continuous_induced_rng
0.000017     7705 continuous.prod_mk
0.000015     7706 is_closed_le_prod
0.000017     7707 is_closed_le
0.000016     7708 continuous_le_dom
0.000018     7709 continuous_inf_dom_right
0.000017     7710 continuous_induced_dom
0.000015     7711 continuous_snd
0.000017     7712 continuous_inf_dom_left
0.000017     7713 continuous_fst
0.000015     7714 _private.1286801.is_closed_eq_aux
0.000017     7715 order_closed_topology.to_t2_space
0.000015     7716 order_topology.to_order_closed_topology._match_1
0.000017     7717 order_topology.to_order_closed_topology._match_2
0.000015     7718 order_topology.to_order_closed_topology._match_3
0.000016     7719 order_topology.topology_eq_generate_intervals
0.000015     7720 is_open_iff_generate_intervals
0.000016     7721 is_open_gt'
0.000015     7722 is_open_lt'
0.000016     7723 dense_or_discrete
0.000015     7724 order_separated
0.000016     7725 order_topology.to_order_closed_topology
0.000015     7726 ne_iff_lt_or_gt
0.000017     7727 nhds_within_union
0.000015     7728 order_topology.regular_space._match_5
0.000016     7729 set.Ico
0.000015     7730 filter.inf_principal_eq_bot
0.000016     7731 order_topology.regular_space._match_3
0.000015     7732 order_topology.regular_space._match_4
0.000017     7733 set.Ioc
0.000015     7734 order_dual.linear_order._proof_1
0.000016     7735 order_dual.linear_order._proof_2
0.000014     7736 order_dual.linear_order._proof_3
0.000018     7737 order_dual.linear_order._proof_4
0.000015     7738 order_dual.linear_order._proof_5
0.000016     7739 order_dual.linear_order._proof_6
0.000015     7740 order_dual.linear_order._proof_7
0.000015     7741 order_dual.linear_order._proof_8
0.000016     7742 order_dual.linear_order._proof_9
0.000015     7743 order_dual.linear_order
0.000016     7744 set.dual_Ico
0.000015     7745 set.dual_Ioc
0.000017     7746 infi_le_infi_const
0.000014     7747 topological_space.generate_open.drec
0.000017     7748 topological_space.nhds_generate_from
0.000015     7749 le_binfi
0.000016     7750 nhds_eq_order
0.000015     7751 set.Iic
0.000016     7752 set.subset.rfl
0.000016     7753 set.inter_subset_inter_right
0.000014     7754 set.mem_Iic
0.000017     7755 set.right_mem_Iic
0.000015     7756 set.Iic_subset_Iio
0.000014     7757 max_lt
0.000016     7758 set.mem_Iio
0.000016     7759 order.preimage.equations._eqn_1
0.000016     7760 set.Ioi_subset_Ioi
0.000015     7761 set.Ioi_subset_Ioi_iff
0.000016     7762 le_sup_iff
0.000015     7763 is_total.swap
0.000016     7764 order_dual.is_total_le
0.000015     7765 inf_le_iff
0.000015     7766 min_le_iff
0.000016     7767 le_max_iff
0.000015     7768 exists_Ioc_subset_of_mem_nhds'
0.000016     7769 order_dual.topological_space
0.000015     7770 order_dual.order_topology
0.000016     7771 exists_Ico_subset_of_mem_nhds'
0.000015     7772 Exists.snd
0.000016     7773 exists_Ico_subset_of_mem_nhds
0.000015     7774 is_lub_Sup
0.000016     7775 is_lub.Sup_eq
0.000016     7776 Sup_empty
0.000014     7777 set.sUnion_empty
0.000016     7778 is_open_empty
0.000015     7779 nhds_within.equations._eqn_1
0.000016     7780 nhds_within_empty
0.000015     7781 order_topology.regular_space._match_6
0.000017     7782 order_topology.regular_space._match_1
0.000015     7783 order_topology.regular_space._match_2
0.000014     7784 exists_Ioc_subset_of_mem_nhds
0.000017     7785 order_topology.regular_space
0.000015     7786 ennreal.order_topology
0.000015     7787 ennreal.t2_space
0.000017     7788 nonpos_iff_eq_zero
0.000015     7789 measure_theory.outer_measure.of_function._proof_1
0.000016     7790 infi_le_infi2
0.000015     7791 measure_theory.outer_measure.of_function._proof_2
0.000014     7792 ennreal.not_top_le_coe
0.000017     7793 le_of_forall_le_of_dense
0.000015     7794 lt_add_iff_pos_right
0.000014     7795 nnreal.le_of_forall_pos_le_add
0.000017     7796 true_implies_iff
0.000015     7797 ennreal.le_of_forall_pos_le_add
0.000014     7798 encodable
0.000017     7799 nnreal.equations._eqn_1
0.000014     7800 nnreal.pseudo_metric_space._proof_1
0.000017     7801 pseudo_metric_space.induced._proof_1
2.943122     7802 pseudo_metric_space.induced._proof_2
0.000077     7803 pseudo_metric_space.induced._proof_3
0.000024     7804 pseudo_metric_space.induced._proof_4
0.000015     7805 metric.dist_mem_uniformity
0.000014     7806 pseudo_metric_space.induced._match_1
0.000014     7807 pseudo_metric_space.induced._proof_5
0.000014     7808 pseudo_metric_space.induced
0.000014     7809 subtype.psudo_metric_space
0.000015     7810 nnreal.pseudo_metric_space
0.000013     7811 nnreal.topological_space
0.000014     7812 real.add_comm_monoid
0.000014     7813 real.monoid
0.000014     7814 encodable.encode
0.000014     7815 nontrivial_of_lt
0.000014     7816 pow_pos
0.000014     7817 uniform_continuous
0.000014     7818 uniform_space.of_core_eq._proof_1
0.000014     7819 uniform_space.of_core_eq
0.000014     7820 uniform_space.has_Inf._proof_1
0.000014     7821 uniform_space.has_Inf._proof_2
0.000014     7822 filter.lift_mono
0.000017     7823 filter.lift'_mono
0.000017     7824 uniform_space.has_Inf._proof_3
0.000015     7825 uniform_space.has_Inf
0.000017     7826 uniform_space.partial_order._proof_1
0.000015     7827 uniform_space.partial_order._proof_2
0.000015     7828 uniform_space.partial_order._proof_3
0.000014     7829 uniform_space.cases_on
0.000014     7830 uniform_space.mk'
0.000014     7831 iff_iff_eq
0.000014     7832 eq_iff_iff
0.000014     7833 uniform_space.core.cases_on
0.000017     7834 uniform_space.core_eq
0.000014     7835 uniform_space_eq
0.000018     7836 uniform_space.partial_order._proof_4
0.000015     7837 uniform_space.partial_order
0.000017     7838 uniform_space.complete_lattice._proof_1
0.000015     7839 uniform_space.complete_lattice._proof_2
0.000017     7840 uniform_space.complete_lattice._proof_3
0.000015     7841 uniform_space.complete_lattice._proof_4
0.000018     7842 _private.1385533749.le_Inf
0.000015     7843 uniform_space.complete_lattice._match_1
0.000014     7844 uniform_space.complete_lattice._proof_5
0.000014     7845 uniform_space.complete_lattice._match_2
0.000014     7846 uniform_space.complete_lattice._proof_6
0.000014     7847 _private.3523736609.Inf_le
0.000017     7848 uniform_space.complete_lattice._proof_7
0.000015     7849 uniform_space.complete_lattice._proof_8
0.000017     7850 uniform_space.complete_lattice._proof_9
0.000015     7851 uniform_space.complete_lattice._proof_10
0.000017     7852 uniform_space.has_top._proof_1
0.000015     7853 uniform_space.has_top._proof_2
0.000017     7854 uniform_space.has_top._proof_3
0.000015     7855 uniform_space.has_top
0.000014     7856 uniform_space.complete_lattice._proof_11
0.000014     7857 uniform_space.has_bot._proof_1
0.000015     7858 filter.map_principal
0.000014     7859 set.image_subset_preimage_of_inverse
0.000016     7860 set.preimage_subset_image_of_inverse
0.000015     7861 set.image_eq_preimage_of_inverse
0.000017     7862 prod.swap_swap
0.000015     7863 prod.swap_left_inverse
0.000018     7864 prod.swap_right_inverse
0.000015     7865 set.image_swap_eq_preimage_swap
0.000014     7866 prod.swap_prod_mk
0.000014     7867 swap_id_rel
0.000017     7868 uniform_space.has_bot._proof_2
0.000014     7869 filter.lift_principal
0.000018     7870 filter.lift'_principal
0.000014     7871 mem_comp_rel
0.000018     7872 id_comp_rel
0.000014     7873 uniform_space.has_bot._proof_3
0.000015     7874 is_open_fold
0.000014     7875 discrete_topology
0.000014     7876 discrete_topology.eq_bot
0.000014     7877 is_open_discrete
0.000016     7878 discrete_topology_bot
0.000015     7879 uniform_space.has_bot._proof_4
0.000017     7880 uniform_space.has_bot
0.000014     7881 uniform_space.complete_lattice._proof_12
0.000015     7882 uniform_space.complete_lattice._proof_13
0.000014     7883 uniform_space.complete_lattice._proof_14
0.000014     7884 uniform_space.complete_lattice._proof_15
0.000016     7885 uniform_space.complete_lattice._proof_16
0.000016     7886 uniform_space.complete_lattice
0.000016     7887 Sup_eq_supr
0.000017     7888 Inf_eq_infi
0.000017     7889 le_of_nhds_le_nhds
0.000015     7890 eq_of_nhds_eq_nhds
0.000016     7891 is_glb_Inf
0.000016     7892 is_glb.Inf_eq
0.000015     7893 is_glb.infi_eq
0.000016     7894 Inf_range
0.000018     7895 galois_connection.u_infi
0.000014     7896 nhds_infi
0.000017     7897 nhds_basis_uniformity'
0.000017     7898 nhds_eq_uniformity
0.000016     7899 infi_uniformity
0.000016     7900 plift
0.000017     7901 inf_is_commutative
0.000014     7902 finset.inf._proof_1
0.000016     7903 inf_is_associative
0.000015     7904 finset.inf._proof_2
0.000016     7905 finset.inf
0.000015     7906 plift.down
0.000017     7907 finset.sup_le
0.000015     7908 finset.sup_eq_supr
0.000016     7909 finset.inf_eq_infi
0.000015     7910 infi_eq_infi_finset
0.000014     7911 filter.infi_sets_eq_finite
0.000016     7912 plift.cases_on
0.000016     7913 plift.up_down
0.000016     7914 plift.down_up
0.000015     7915 equiv.plift
0.000014     7916 supr.equations._eqn_1
0.000017     7917 function.surjective.exists
0.000015     7918 function.surjective.range_comp
0.000015     7919 function.surjective.supr_comp
0.000016     7920 function.surjective.infi_comp
0.000015     7921 equiv.surjective
3.057541     7922 filter.infi_sets_eq_finite'
0.000075     7923 filter.mem_infi_finite'
0.000024     7924 function.injective.decidable_eq
0.000015     7925 equiv.decidable_eq
0.000014     7926 plift.decidable_eq
0.000014     7927 is_idempotent
0.000014     7928 finset.insert_idem
0.000014     7929 is_idempotent.idempotent
0.000014     7930 finset.fold_insert_idem
0.000014     7931 sup_idem
0.000015     7932 inf_idem
0.000013     7933 inf_is_idempotent
0.000014     7934 finset.inf_insert
0.000015     7935 filter.infi_sets_induct
0.000014     7936 le_of_inf_eq
0.000017     7937 and_iff_left_of_imp
0.000017     7938 and_iff_left_iff_imp
0.000018     7939 set.inter_eq_left_iff_subset
0.000015     7940 set.inter_eq_self_of_subset_left
0.000016     7941 filter.lift_infi
0.000017     7942 filter.principal_eq_iff_eq
0.000015     7943 filter.lift'_infi
0.000016     7944 infi_of_empty'
0.000020     7945 infi_of_empty
0.000015     7946 to_topological_space_top
0.000016     7947 to_topological_space_infi
0.000017     7948 to_topological_space_Inf
0.000018     7949 infi_or
0.000016     7950 infi_inf_eq
0.000017     7951 infi_union
0.000015     7952 infi_infi_eq_left
0.000016     7953 infi_insert
0.000015     7954 infi_singleton
0.000016     7955 infi_pair
0.000016     7956 to_topological_space_inf
0.000014     7957 to_topological_space_comap
0.000016     7958 uniform_space.core.to_topological_space.equations._eqn_1
0.000015     7959 uniform_space.to_core_to_topological_space
0.000016     7960 prod.uniform_space._proof_1
0.000015     7961 prod.uniform_space
0.000016     7962 uniform_add_group
0.000015     7963 cauchy
0.000016     7964 complete_space
0.000014     7965 set.indicator
0.000017     7966 set.piecewise
0.000017     7967 set.eq_on
0.000015     7968 set.comp_eq_of_eq_on_range
0.000016     7969 set.piecewise_eq_of_mem
0.000015     7970 set.piecewise_eq_on
0.000017     7971 set.piecewise_range_comp
0.000015     7972 set.indicator_range_comp
0.000014     7973 true.dcases_on
0.000017     7974 infi_true
0.000015     7975 filter.has_basis.eq_infi
0.000016     7976 filter.has_basis.map
0.000014     7977 filter.map_at_top_eq
0.000016     7978 finset.le_eq_subset
0.000015     7979 filter.map_at_top_finset_sum_le_of_sum_eq
0.000016     7980 set.inj_on_of_injective
0.000015     7981 function.injective.inj_on
0.000016     7982 finset.sum_image
0.000015     7983 classical.dec_eq
0.000016     7984 finset.sum_sdiff
0.000016     7985 finset.fold_congr
0.000014     7986 finset.sum_congr
0.000014     7987 finset.sum_subset
0.000014     7988 set.inj_on.equations._eqn_1
0.000014     7989 finset.coe_inj
0.000016     7990 set.mem_image_iff_bex
0.000015     7991 finset.coe_image
0.000016     7992 set.coe_to_finset
0.000017     7993 set.finite.coe_to_finset
0.000014     7994 finset.coe_preimage
0.000017     7995 set.image_preimage_eq_inter_range
0.000015     7996 finset.coe_filter
0.000016     7997 set.sep_mem_eq
0.000015     7998 finset.image_preimage
0.000016     7999 finset.sum_preimage'
0.000015     8000 multiset.filter_subset
0.000016     8001 finset.filter_subset
0.000015     8002 not_imp_comm
0.000016     8003 finset.sum_filter_of_ne
0.000016     8004 not.imp_symm
0.000025     8005 finset.sum_preimage
0.000017     8006 finset.coe_subset
0.000014     8007 finset.image_subset_iff
0.000015     8008 finset.image_subset_iff_subset_preimage
0.000016     8009 function.injective.map_at_top_finset_sum_eq
0.000015     8010 function.injective.has_sum_iff
0.000015     8011 function.injective.summable_iff
0.000016     8012 set.indicator_of_not_mem
0.000015     8013 cauchy_seq
0.000014     8014 complete_space.complete
0.000017     8015 filter.prod_mono
0.000015     8016 cauchy.mono
0.000016     8017 filter.has_pure._proof_1
0.000015     8018 filter.has_pure._proof_2
0.000014     8019 filter.has_pure
0.000017     8020 set.not_mem_empty
0.000015     8021 filter.pure_ne_bot
0.000014     8022 filter.mem_pure_sets
0.000016     8023 mem_of_nhds
0.000015     8024 pure_le_nhds
0.000015     8025 nhds_ne_bot
0.000016     8026 filter.lift.equations._eqn_1
0.000015     8027 filter.lift_inf
0.000014     8028 filter.le_lift
0.000016     8029 filter.lift_const
0.000015     8030 filter.mem_lift
0.000017     8031 filter.mem_principal_self
0.000014     8032 filter.lift_principal2
0.000017     8033 filter.prod_def
0.000014     8034 filter.functor
0.000016     8035 filter.lift_assoc
0.000015     8036 set.monotone_preimage
0.000016     8037 lift_nhds_left
0.000015     8038 set.preimage_id
0.000016     8039 filter.map_eq_comap_of_inverse
0.000015     8040 prod.swap_swap_eq
0.000015     8041 filter.map_swap_eq_comap_swap
0.000016     8042 uniformity_le_symm
0.000015     8043 uniformity_eq_symm
0.000015     8044 filter.map_lift_eq2
0.000016     8045 lift_nhds_right
0.000015     8046 filter.monotone_lift'
0.000016     8047 monotone_const
0.000015     8048 monotone_lam
0.000016     8049 set.prod_mono
0.000015     8050 set.monotone_prod
0.000016     8051 nhds_nhds_eq_uniformity_uniformity_prod
0.000015     8052 cauchy_nhds
0.000016     8053 cauchy_iff_exists_le_nhds
0.000016     8054 cauchy_map_iff_exists_tendsto
0.000014     8055 summable_iff_cauchy_seq_finset
0.000016     8056 prod.has_le
0.000015     8057 prod.preorder._match_1
0.000016     8058 prod.preorder._proof_1
0.000015     8059 prod.preorder._match_2
1.945479     8060 prod.preorder._match_3
0.000076     8061 prod.preorder._match_4
0.000023     8062 prod.preorder._match_5
0.000015     8063 prod.preorder._match_6
0.000014     8064 prod.preorder._proof_2
0.000014     8065 prod.preorder._proof_3
0.000015     8066 prod.preorder
0.000014     8067 cauchy_seq.equations._eqn_1
0.000014     8068 cauchy.equations._eqn_1
0.000014     8069 filter.inter_mem_inf_sets
0.000014     8070 filter.preimage_mem_comap
0.000014     8071 filter.prod_mem_prod
0.000014     8072 set.subset_preimage_image
0.000014     8073 filter.image_mem_map
0.000014     8074 set.mem_prod
0.000019     8075 exists_and_distrib_right
0.000018     8076 set.prod_image_image_eq
0.000016     8077 filter.mem_prod_iff
0.000015     8078 filter.tendsto_inf_left
0.000017     8079 filter.tendsto_fst
0.000015     8080 filter.tendsto_inf_right
0.000016     8081 filter.tendsto_snd
0.000015     8082 filter.prod_map_map_eq
0.000017     8083 cauchy_map_iff
0.000015     8084 filter.at_top.equations._eqn_1
0.000016     8085 filter.comap_infi
0.000015     8086 set.range_subset_iff
0.000015     8087 set.range_const_subset
0.000014     8088 set.range_const
0.000017     8089 Inf_singleton
0.000015     8090 infi_const
0.000018     8091 infi_inf
0.000014     8092 inf_infi
0.000015     8093 filter.prod_infi_right
0.000016     8094 filter.prod_infi_left
0.000017     8095 filter.prod_principal_principal
0.000019     8096 infi_prod
0.000015     8097 infi_comm
0.000017     8098 filter.filter_eq_bot_of_not_nonempty
0.000015     8099 nonempty_prod
0.000018     8100 filter.comap_bot
0.000014     8101 filter.bot_prod
0.000017     8102 filter.prod_bot
0.000015     8103 filter.prod_at_top_at_top_eq
0.000016     8104 filter.comap_comap
0.000015     8105 filter.mem_map_sets_iff
0.000016     8106 mem_map_sets_iff'
0.000017     8107 filter.tendsto_map'_iff
0.000015     8108 inf_uniformity
0.000016     8109 uniformity_prod
0.000017     8110 filter.comap_inf
0.000015     8111 uniformity_prod_eq_prod
0.000016     8112 uniform_continuous.equations._eqn_1
0.000018     8113 mem_uniformity_of_uniform_continuous_invariant
0.000015     8114 uniform_add_group.uniform_continuous_sub
0.000016     8115 uniform_continuous_sub
0.000016     8116 uniform_continuous.comp
0.000018     8117 uniform_continuous.prod_mk
0.000015     8118 uniform_continuous.sub
0.000016     8119 uniform_continuous_of_const
0.000015     8120 uniform_continuous_const
0.000016     8121 uniform_continuous.neg
0.000017     8122 uniform_continuous.add
0.000015     8123 tendsto_prod_uniformity_fst
0.000014     8124 uniform_continuous_fst
0.000016     8125 tendsto_prod_uniformity_snd
0.000016     8126 uniform_continuous_snd
0.000016     8127 uniform_continuous_add
0.000015     8128 uniformity_eq_comap_nhds_zero
0.000016     8129 prod.has_sup
0.000015     8130 prod.partial_order._proof_1
0.000016     8131 prod.partial_order._proof_2
0.000015     8132 prod.partial_order._proof_3
0.000014     8133 prod.partial_order._match_1
0.000017     8134 prod.partial_order._match_2
0.000015     8135 prod.partial_order._match_3
0.000016     8136 prod.partial_order._match_4
0.000015     8137 prod.partial_order._proof_4
0.000016     8138 prod.partial_order
0.000015     8139 prod.semilattice_sup._proof_1
0.000016     8140 prod.semilattice_sup._proof_2
0.000015     8141 prod.semilattice_sup._proof_3
0.000014     8142 prod.semilattice_sup._proof_4
0.000017     8143 prod.semilattice_sup._proof_5
0.000015     8144 prod.semilattice_sup._proof_6
0.000016     8145 prod.semilattice_sup._proof_7
0.000015     8146 prod.semilattice_sup
0.000016     8147 filter.tendsto_def
0.000015     8148 true.inhabited
0.000016     8149 filter.mem_at_top_sets
0.000016     8150 filter.tendsto_at_top'
0.000015     8151 prod.nonempty
0.000016     8152 disjoint.comm
0.000014     8153 disjoint.symm
0.000016     8154 has_continuous_add
0.000016     8155 topological_add_group
0.000016     8156 filter.has_basis.prod_self
0.000015     8157 filter.mem_prod_self_iff
0.000016     8158 set.mk_mem_prod
0.000015     8159 set.prod_subset_iff
0.000015     8160 continuous_at
0.000016     8161 filter.has_basis.ge_iff
0.000015     8162 filter.has_basis.tendsto_right_iff
0.000017     8163 filter.has_basis.eventually_iff
0.000015     8164 filter.has_basis.tendsto_iff
0.000014     8165 is_open.preimage
0.000016     8166 continuous.tendsto
0.000016     8167 continuous_iff_continuous_at
0.000016     8168 has_continuous_add.continuous_add
0.000015     8169 tendsto_add
0.000016     8170 filter.tendsto.prod_mk_nhds
0.000015     8171 filter.tendsto.add
0.000016     8172 continuous_at.add
0.000015     8173 topological_add_group.to_has_continuous_add
0.000016     8174 continuous.continuous_at
0.000015     8175 continuous_at_fst
0.000016     8176 topological_add_group.continuous_neg
0.000015     8177 filter.tendsto.neg
0.000016     8178 continuous_at_snd
0.000015     8179 exists_nhds_half_neg
0.000016     8180 coinduced_le_iff_le_induced
0.000015     8181 gc_coinduced_induced
0.000016     8182 continuous_iff_le_induced
0.000015     8183 to_nhds_mono
0.000016     8184 to_topological_space_mono
0.000015     8185 uniform_continuous_iff
0.000016     8186 uniform_continuous.continuous
1.626248     8187 filter.map_id
0.000074     8188 filter.tendsto_id'
0.000023     8189 filter.tendsto_id
0.000015     8190 uniform_continuous_id
0.000014     8191 uniform_continuous_neg
0.000016     8192 uniform_add_group.to_topological_add_group
0.000014     8193 cauchy_seq_finset_iff_vanishing
0.000014     8194 summable_iff_vanishing
0.000015     8195 finset.disjoint_of_subset_left
0.000014     8196 summable.summable_of_eq_zero_or_self
0.000014     8197 set.indicator_of_mem
0.000014     8198 set.indicator_eq_zero_or_self
0.000014     8199 summable.indicator
0.000017     8200 summable.comp_injective
0.000017     8201 uniform_add_group.mk'
0.000018     8202 prod.pseudo_metric_space_max._proof_1
0.000015     8203 prod.pseudo_metric_space_max._proof_2
0.000016     8204 prod.pseudo_metric_space_max._proof_3
0.000016     8205 monotone.map_max
0.000017     8206 max_le_max
0.000017     8207 nnreal.of_real_mono
0.000017     8208 nnreal.of_real_le_of_real
0.000015     8209 ennreal.of_real_le_of_real
0.000015     8210 prod.pseudo_metric_space_max._proof_4
0.000016     8211 set.preimage_set_of_eq
0.000015     8212 forall_3_true_iff
0.000016     8213 prod.pseudo_metric_space_max._proof_5
0.000015     8214 prod.pseudo_metric_space_max
0.000016     8215 filter.has_basis.uniform_continuous_iff
0.000015     8216 metric.uniform_continuous_iff
0.000016     8217 real.uniform_continuous_add
0.000015     8218 real.dist_eq
0.000016     8219 real.uniform_continuous_neg
0.000015     8220 real.uniform_add_group
0.000016     8221 set.countable
0.000016     8222 filter.is_countably_generated
0.000014     8223 filter.has_antimono_basis
0.000016     8224 filter.has_antimono_basis.decreasing
0.000016     8225 filter.has_antimono_basis.to_has_basis
0.000014     8226 exists_prop_of_true
0.000016     8227 exists_true_left
0.000015     8228 filter_basis
0.000017     8229 filter_basis.sets
0.000015     8230 filter.countable_filter_basis
0.000016     8231 set.sInter
0.000015     8232 set.fintype_empty._proof_1
0.000016     8233 set.fintype_empty
0.000015     8234 set.finite_empty
0.000016     8235 Inf_empty
0.000015     8236 set.sInter_empty
0.000016     8237 filter.filter_basis.of_sets._proof_1
0.000015     8238 set.fintype_union._proof_1
0.000016     8239 set.fintype_union
0.000014     8240 set.finite.union
0.000017     8241 Inf_union
0.000015     8242 set.sInter_union
0.000014     8243 filter.filter_basis.of_sets._proof_2
0.000017     8244 filter.filter_basis.of_sets
0.000015     8245 filter.is_countably_generated.generating_set
0.000016     8246 filter_basis.nonempty
0.000015     8247 filter.is_countably_generated.countable_filter_basis._proof_1
0.000016     8248 filter_basis.inter_sets
0.000015     8249 filter.is_countably_generated.countable_filter_basis._proof_2
0.000015     8250 encodable.decode
0.000016     8251 encodable.encodek
0.000015     8252 encodable.of_left_injection._proof_1
0.000015     8253 encodable.of_left_injection
0.000016     8254 function.partial_inv
0.000015     8255 function.is_partial_inv
0.000015     8256 option.some.inj_arrow
0.000016     8257 function.partial_inv.equations._eqn_1
0.000015     8258 function.partial_inv_of_injective
0.000016     8259 encodable.of_inj._proof_1
0.000015     8260 encodable.of_inj
0.000016     8261 set.countable.to_encodable
0.000016     8262 function.surj_inv
0.000014     8263 function.right_inverse.left_inverse
0.000016     8264 function.right_inverse.injective
0.000016     8265 function.surj_inv_eq
0.000015     8266 function.right_inverse_surj_inv
0.000016     8267 function.injective_surj_inv
0.000015     8268 set.countable.image
0.000014     8269 function.embedding
0.000016     8270 function.embedding.to_fun
0.000015     8271 set.embedding_of_subset._proof_1
0.000017     8272 set.embedding_of_subset._match_1
0.000014     8273 set.embedding_of_subset._match_2
0.000016     8274 set.embedding_of_subset._proof_2
0.000015     8275 set.embedding_of_subset
0.000017     8276 function.embedding.inj'
0.000015     8277 set.countable.mono
0.000016     8278 function.embedding.has_coe_to_fun
0.000015     8279 finset.map._proof_1
0.000015     8280 finset.map
0.000016     8281 finset.mem_map
0.000015     8282 set.embedding_of_subset_apply
0.000015     8283 subtype.mk.inj_eq
0.000014     8284 encodable.encode_subtype._main
0.000017     8285 encodable.encode_subtype
0.000015     8286 encodable.decode_subtype
0.000014     8287 encodable.encode_subtype._main.equations._eqn_1
0.000017     8288 encodable.encode_subtype.equations._eqn_1
0.000015     8289 encodable.decode_subtype.equations._eqn_1
0.000016     8290 encodable.subtype._match_1
0.000015     8291 encodable.subtype._proof_1
0.000016     8292 encodable.subtype
0.000015     8293 set.countable_encodable
0.000016     8294 set.countable_range
0.000016     8295 encodable.of_left_inverse._proof_1
0.000014     8296 encodable.of_left_inverse
0.000016     8297 encodable.of_equiv
0.000015     8298 nat.mkpair
0.000016     8299 encodable.encode_list._main
0.000016     8300 encodable.encode_list
0.000014     8301 encodable.decode_list._match_1
0.000017     8302 decode_list._main._pack._wf_rec_mk_dec_tactic._aux_1
0.131477     8303 nat.bodd_div2._match_1
0.000075     8304 nat.bodd_div2._main
0.000026     8305 nat.bodd_div2
0.000015     8306 nat.div2
0.000014     8307 nat.shiftr._main
0.000014     8308 nat.shiftr
0.000014     8309 nat.sqrt_aux._match_1
0.000014     8310 sqrt_aux._main._pack._wf_rec_mk_dec_tactic._aux_1
0.000015     8311 sqrt_aux._main._pack._wf_rec_mk_dec_tactic._aux_2
0.000014     8312 nat.bodd
0.000014     8313 bxor._main
0.000014     8314 bxor
0.000014     8315 band._main
0.000014     8316 band
0.000015     8317 nat.bodd_zero
0.000014     8318 bnot._main
0.000016     8319 bnot
0.000018     8320 nat.bodd.equations._eqn_1
0.000017     8321 nat.bodd_div2._main.equations._eqn_2
0.000015     8322 nat.bodd_div2.equations._eqn_2
0.000016     8323 nat.bodd_succ
0.000017     8324 nat.bodd_add
0.000015     8325 nat.bodd_mul
0.000016     8326 bnot._main.equations._eqn_1
0.000015     8327 bnot.equations._eqn_1
0.000014     8328 bnot._main.equations._eqn_2
0.000016     8329 bnot.equations._eqn_2
0.000015     8330 nat.mod_two_eq_zero_or_one
0.000016     8331 nat.mod_two_of_bodd
0.000018     8332 nat.div2.equations._eqn_1
0.000014     8333 nat.div2_succ
0.000019     8334 cond._main.equations._eqn_2
0.000015     8335 cond.equations._eqn_2
0.000019     8336 cond._main.equations._eqn_1
0.000015     8337 cond.equations._eqn_1
0.000016     8338 nat.bodd_add_div2
0.000015     8339 nat.div2_val
0.000016     8340 nat.mul_pos
0.000015     8341 nat.div_div_eq_div_mul
0.000016     8342 nat.shiftr_eq_div_pow
0.000018     8343 nat.le_div_iff_mul_le'
0.000015     8344 nat.div_lt_iff_lt_mul'
0.000016     8345 nat.sqrt_aux_dec
0.000015     8346 nat.sqrt_aux._main._pack
0.000016     8347 nat.sqrt_aux._main
0.000015     8348 nat.sqrt_aux
0.000016     8349 nat.bit
0.000017     8350 nat.shiftl'._main
0.000015     8351 nat.shiftl'
0.000015     8352 nat.shiftl
0.000016     8353 nat.sqrt._match_1
0.000015     8354 nat.bit0_val
0.000015     8355 nat.bit1_val
0.000016     8356 nat.bit_val
0.000015     8357 nat.bit_decomp
0.000015     8358 binary_rec._main._pack._wf_rec_mk_dec_tactic._aux_1
0.000016     8359 nat.binary_rec._main._pack
0.000015     8360 nat.binary_rec._main
0.000016     8361 nat.binary_rec
0.000015     8362 nat.size
0.000016     8363 nat.sqrt
0.000015     8364 nat.unpair
0.000016     8365 nat.mkpair.equations._eqn_1
0.000015     8366 nat.add_sub_cancel'
0.000016     8367 _private.2024985191.is_sqrt
0.000015     8368 nat.sqrt.equations._eqn_1
0.000016     8369 nat.sqrt._match_1.equations._eqn_1
0.000015     8370 nat.shiftl_eq_mul_pow
0.000016     8371 nat.one_shiftl
0.000015     8372 nat.size.equations._eqn_1
0.000016     8373 nat.binary_rec._main._pack._proof_1
0.000015     8374 nat.binary_rec._main._pack._proof_2
0.000016     8375 nat.binary_rec._main._pack.equations._eqn_1
0.000015     8376 nat.binary_rec._main.equations._eqn_1
0.000017     8377 nat.binary_rec.equations._eqn_1
0.000017     8378 cast
0.000015     8379 eq_mpr_eq_cast
0.000017     8380 cast_eq
0.000017     8381 nat.div2_bit
0.000015     8382 nat.size_bit
0.000016     8383 nat.shiftl_succ
0.000015     8384 nat.add_lt_add_right
0.000015     8385 nat.add_lt_add
0.000014     8386 nat.bit0_lt
0.000014     8387 nat.add_le_add
0.000014     8388 nat.bit1_lt_bit0
0.000016     8389 nat.bit_lt_bit0
0.000015     8390 nat.lt_size_self
0.000017     8391 nat.mul_le_mul_of_nonneg_right
0.000016     8392 nat.mul_le_mul_of_nonneg_left
0.000015     8393 nat.mul_le_mul
0.000017     8394 nat.pow_le_pow_of_le_right
0.000015     8395 lt_of_not_ge'
0.000014     8396 lt_imp_lt_of_le_imp_le
0.000016     8397 nat.bit0_le
0.000016     8398 nat.bit0_lt_bit1
0.000014     8399 nat.bit0_le_bit
0.000016     8400 nat.size_le
0.000015     8401 nat.lt_size
0.000016     8402 nat.size_pos
0.000015     8403 nat.size_eq_zero
0.000015     8404 _private.2024985191.is_sqrt.equations._eqn_1
0.000016     8405 nat.sqrt._match_1.equations._eqn_2
0.000016     8406 nat.sqrt_aux._main._pack.equations._eqn_1
0.000014     8407 nat.sqrt_aux._main.equations._eqn_1
0.000016     8408 nat.sqrt_aux.equations._eqn_1
0.000016     8409 int.eq_neg_succ_of_lt_zero
0.000014     8410 add_lt_add_iff_right
0.000016     8411 sub_lt_sub_iff_right
0.000016     8412 sub_lt_zero
0.000014     8413 nat.sqrt_aux._match_1.equations._eqn_2
0.000016     8414 nat.sqrt_aux_2
0.000015     8415 nat.mul_ne_zero
0.000014     8416 nat.le_sub_right_of_add_le
0.000017     8417 nat.le_sub_left_of_add_le
0.000015     8418 nat.lt_add_of_sub_lt_left
0.000016     8419 nat.sub_lt_left_iff_lt_add
0.000026     8420 nat.sub_lt_right_iff_lt_add
0.000016     8421 nat.distrib
0.000014     8422 nat.semigroup
0.000019     8423 nat.mul_div_cancel_left
0.000015     8424 nat.sqrt_aux._match_1.equations._eqn_1
0.000014     8425 nat.sqrt_aux_1
0.000015     8426 nat.sub_eq_of_eq_add
0.000014     8427 linear_ordered_comm_monoid_with_zero.zero
0.000016     8428 linear_ordered_comm_monoid_with_zero.zero_mul
0.000015     8429 linear_ordered_comm_monoid_with_zero.mul_zero
0.000016     8430 linear_ordered_comm_monoid_with_zero.to_comm_monoid_with_zero
0.000015     8431 nat.comm_cancel_monoid_with_zero._proof_1
0.000016     8432 nat.comm_cancel_monoid_with_zero._proof_2
0.000016     8433 nat.comm_cancel_monoid_with_zero._proof_3
0.211061     8434 nat.comm_cancel_monoid_with_zero._proof_4
0.000083     8435 nat.comm_cancel_monoid_with_zero._proof_5
0.000024     8436 nat.comm_cancel_monoid_with_zero._proof_6
0.000014     8437 nat.comm_cancel_monoid_with_zero._proof_7
0.000015     8438 nat.comm_cancel_monoid_with_zero._proof_8
0.000014     8439 nat.comm_cancel_monoid_with_zero._proof_9
0.000014     8440 nat.comm_cancel_monoid_with_zero._proof_10
0.000014     8441 nat.comm_cancel_monoid_with_zero
0.000014     8442 _private.1964874191.sqrt_aux_is_sqrt_lemma
0.000014     8443 nat.zero_shiftr
0.000015     8444 nat.sqrt_aux_0
0.000014     8445 nat.shiftr._main.equations._eqn_2
0.000014     8446 nat.shiftr.equations._eqn_2
0.000018     8447 nat.shiftr._main.equations._eqn_1
0.000017     8448 nat.shiftr.equations._eqn_1
0.000019     8449 nat.mul_div_right
0.000017     8450 _private.2678829159.sqrt_aux_is_sqrt
0.000017     8451 _private.3978629425.sqrt_is_sqrt
0.000017     8452 nat.sqrt_le
0.000017     8453 le_imp_le_of_lt_imp_lt
0.000017     8454 nat.lt_of_sub_lt_sub_right
0.000017     8455 nat.add_lt_of_lt_sub_right
0.000015     8456 nat.add_lt_of_lt_sub_left
0.000014     8457 nat.sub_le_left_of_le_add
0.000016     8458 nat.lt_succ_sqrt
0.000015     8459 nat.sqrt_le_add
0.000016     8460 nat.mkpair_unpair
0.000015     8461 nat.le_mul_self
0.000016     8462 nat.le_mkpair_right
0.000015     8463 nat.unpair_le_right
0.000016     8464 encodable.decode_list._main._pack
0.000015     8465 encodable.decode_list._main
0.000017     8466 encodable.decode_list
0.000015     8467 encodable.encode_list._main.equations._eqn_1
0.000016     8468 encodable.encode_list.equations._eqn_1
0.000015     8469 encodable.decode_list._main._pack.equations._eqn_1
0.000017     8470 encodable.decode_list._main.equations._eqn_1
0.000015     8471 encodable.decode_list.equations._eqn_1
0.000016     8472 nat.unpair.equations._eqn_1
0.000016     8473 nat.mul_self_le_mul_self
0.000015     8474 nat.mul_self_lt_mul_self
0.000014     8475 nat.mul_self_le_mul_self_iff
0.000024     8476 nat.mul_self_lt_mul_self_iff
0.000015     8477 nat.le_sqrt
0.000015     8478 nat.sqrt_lt
0.000014     8479 nat.sqrt_add_eq
0.000017     8480 nat.unpair_mkpair
0.000014     8481 encodable.encode_list._main.equations._eqn_2
0.000015     8482 encodable.encode_list.equations._eqn_2
0.000014     8483 encodable.decode_list._main._pack.equations._eqn_2
0.000017     8484 encodable.decode_list._main.equations._eqn_2
0.000015     8485 encodable.decode_list.equations._eqn_2
0.000017     8486 encodable.decode_list._match_1.equations._eqn_1
0.000017     8487 option.map_eq_map
0.000015     8488 option.seq_some
0.000018     8489 encodable.list._proof_1
0.000015     8490 encodable.list
0.000015     8491 is_antisymm
0.000016     8492 list.split._match_1
0.000016     8493 list.split._main
0.000014     8494 list.split
0.000016     8495 prod.mk.inj_arrow
0.000015     8496 list.split._main.equations._eqn_2
0.000017     8497 list.split.equations._eqn_2
0.000015     8498 list.split_cons_of_eq
0.000016     8499 list.length_split_le
0.000016     8500 list.length_split_lt
0.000014     8501 list.sizeof._main
0.000016     8502 list.sizeof
0.000015     8503 list.has_sizeof
0.000016     8504 default.sizeof._main
0.000015     8505 default.sizeof
0.000016     8506 default_has_sizeof
0.000015     8507 list.sizeof._main.equations._eqn_2
0.000015     8508 list.sizeof.equations._eqn_2
0.000016     8509 default.sizeof._main.equations._eqn_1
0.000015     8510 default.sizeof.equations._eqn_1
0.000015     8511 lt_add_iff_pos_left
0.000016     8512 merge._main._pack._wf_rec_mk_dec_tactic._aux_1
0.000015     8513 merge._main._pack._wf_rec_mk_dec_tactic._aux_2
0.000014     8514 list.merge._main._pack
0.000017     8515 list.merge._main
0.000015     8516 list.merge
0.000016     8517 list.merge_sort._main._pack
0.000015     8518 list.merge_sort._main
0.000014     8519 list.merge_sort
0.000017     8520 list.sorted
0.000015     8521 is_antisymm.antisymm
0.000014     8522 antisymm
0.000017     8523 list.length_singleton
0.000015     8524 list.eq_of_perm_of_sorted
0.000015     8525 list.merge_sort._main._pack._proof_1
0.000016     8526 list.merge_sort._main._pack.equations._eqn_3
0.000015     8527 list.merge_sort._main.equations._eqn_3
0.000015     8528 list.merge_sort.equations._eqn_3
0.000016     8529 list.merge_sort_cons_cons
0.000015     8530 list.merge._main._pack.equations._eqn_2
0.000016     8531 list.merge._main.equations._eqn_2
0.000016     8532 list.merge.equations._eqn_2
0.000014     8533 list.merge._main._pack.equations._eqn_3
0.000016     8534 list.merge._main.equations._eqn_3
0.000015     8535 list.merge.equations._eqn_3
0.000016     8536 list.merge._main._pack.equations._eqn_4
0.000015     8537 list.merge._main.equations._eqn_4
0.000016     8538 list.merge.equations._eqn_4
0.000016     8539 list.perm_merge
0.000014     8540 list.perm_split
0.000016     8541 list.perm_merge_sort
0.000015     8542 list.sorted_nil
0.000016     8543 list.sorted_singleton
0.000016     8544 list.sorted_cons
0.000014     8545 list.pairwise_of_pairwise_cons
0.074846     8546 list.sorted_of_sorted_cons
0.000123     8547 or.left_comm
0.000023     8548 list.rel_of_sorted_cons
0.000014     8549 list.sorted.merge
0.000015     8550 list.sorted_merge_sort
0.000014     8551 multiset.sort._proof_1
0.000014     8552 multiset.sort
0.000014     8553 _private.3804559837.enle
0.000014     8554 _private.3804559837.enle.equations._eqn_1
0.000014     8555 _private.3351462201.decidable_enle._proof_1
0.000015     8556 _private.3351462201.decidable_enle
0.000021     8557 is_refl
0.000032     8558 is_preorder
0.000032     8559 is_preorder.to_is_trans
0.000025     8560 is_partial_order
0.000027     8561 is_partial_order.to_is_preorder
0.000020     8562 is_linear_order
0.000015     8563 is_linear_order.to_is_partial_order
0.000015     8564 rel_embedding
0.000014     8565 is_preorder.to_is_refl
0.000014     8566 is_refl.refl
0.000014     8567 rel_embedding.to_embedding
0.000015     8568 rel_embedding.has_coe_to_fun
0.000014     8569 rel_embedding.map_rel_iff'
0.000014     8570 rel_embedding.map_rel_iff
0.000014     8571 refl
0.000015     8572 rel_embedding.is_refl
0.000016     8573 rel_embedding.cases_on
0.000018     8574 is_trans.dcases_on
0.000017     8575 rel_embedding.is_trans
0.000016     8576 rel_embedding.is_preorder
0.000016     8577 is_antisymm.dcases_on
0.000017     8578 rel_embedding.is_antisymm
0.000017     8579 is_partial_order.to_is_antisymm
0.000017     8580 rel_embedding.is_partial_order
0.000016     8581 is_total.dcases_on
0.000016     8582 rel_embedding.is_total
0.000015     8583 is_linear_order.to_is_total
0.000014     8584 rel_embedding.is_linear_order
0.000016     8585 encodable.encode_injective
0.000015     8586 rel_embedding.preimage._proof_1
0.000017     8587 rel_embedding.preimage
0.000015     8588 has_le.le.is_refl
0.000014     8589 has_le.le.is_antisymm
0.000017     8590 has_le.le.is_linear_order
0.000015     8591 _private.4150475629.enle.is_linear_order
0.000016     8592 encodable.encode_multiset._proof_1
0.000015     8593 encodable.encode_multiset._proof_2
0.000015     8594 encodable.encode_multiset._proof_3
0.000016     8595 encodable.encode_multiset
0.000015     8596 encodable.decode_multiset
0.000016     8597 encodable.encode_multiset.equations._eqn_1
0.000015     8598 encodable.decode_multiset.equations._eqn_1
0.000017     8599 multiset.sort_eq
0.000015     8600 encodable.multiset._proof_1
0.000015     8601 encodable.multiset
0.000016     8602 multiset.nodup_decidable._proof_1
0.000015     8603 list.decidable_pairwise
0.000014     8604 list.nodup_decidable
0.000017     8605 multiset.nodup_decidable
0.000014     8606 encodable.decidable_eq_of_encodable._main
0.000017     8607 encodable.decidable_eq_of_encodable
0.000015     8608 encodable.finset._match_1
0.000016     8609 encodable.finset._match_2
0.000015     8610 encodable.finset._match_3
0.000016     8611 encodable.finset._proof_1
0.000015     8612 encodable.finset._match_4
0.000016     8613 encodable.finset._proof_2
0.000015     8614 encodable.finset
0.000016     8615 set.countable_set_of_finite_subset
0.000018     8616 filter.is_countably_generated.countable_generating_set
0.000015     8617 filter.is_countably_generated.countable_filter_basis._proof_3
0.000016     8618 filter.is_countably_generated.countable_filter_basis
0.000015     8619 filter.countable_filter_basis.to_filter_basis
0.000016     8620 filter.countable_filter_basis.countable
0.000015     8621 filter_basis.has_mem
0.000016     8622 filter_basis.filter._match_1
0.000016     8623 filter_basis.filter._proof_1
0.000014     8624 filter_basis.filter._match_2
0.000016     8625 filter_basis.filter._proof_2
0.000016     8626 filter_basis.filter._match_3
0.000014     8627 filter_basis.filter._match_4
0.000017     8628 filter_basis.filter._match_5
0.000015     8629 filter_basis.filter._proof_3
0.000014     8630 filter_basis.filter
0.000017     8631 filter.is_countably_generated.eq_generate
0.000014     8632 filter_basis.mem_filter_iff
0.000016     8633 filter_basis.mem_filter_of_mem
0.000015     8634 filter_basis.generate
0.000017     8635 filter.is_basis
0.000014     8636 filter.is_basis.filter_basis._match_1
0.000017     8637 filter.is_basis.nonempty
0.000015     8638 filter.is_basis.filter_basis._proof_1
0.000016     8639 filter.is_basis.inter
0.000015     8640 filter.is_basis.filter_basis._proof_2
0.000016     8641 filter.is_basis.filter_basis
0.000015     8642 filter.is_basis.filter
0.000017     8643 filter.has_basis.is_basis
0.000015     8644 filter.generate_sets.drec
0.000016     8645 unique
0.000015     8646 fintype.of_subsingleton._proof_1
0.000017     8647 fintype.of_subsingleton
0.000014     8648 unique.to_inhabited
0.000017     8649 unique.inhabited
0.000014     8650 subsingleton_of_forall_eq
0.000018     8651 unique.uniq
0.000017     8652 unique.eq_default
0.000015     8653 unique.subsingleton
0.000016     8654 unique.fintype
0.000015     8655 set.unique_singleton._match_1
0.000016     8656 set.unique_singleton._proof_1
0.000015     8657 set.unique_singleton
0.000015     8658 set.fintype_singleton
0.000014     8659 set.finite_singleton
0.880785     8660 set.sInter_singleton
0.000081     8661 set.univ.equations._eqn_1
0.000021     8662 multiset.attach._proof_1
0.000015     8663 multiset.attach
0.000014     8664 multiset.nodup_attach
0.000014     8665 finset.attach._proof_1
0.000014     8666 finset.attach
0.000014     8667 multiset.mem_attach
0.000014     8668 finset.mem_attach
0.000014     8669 finset.subtype.fintype
0.000014     8670 set.finite.induction_on
0.000014     8671 set.insert_subset
0.000014     8672 filter.mem_generate_iff
0.000018     8673 filter.has_basis_generate
0.000015     8674 filter.is_basis.mem_filter_basis_iff
0.000014     8675 filter.is_basis.mem_filter_iff
0.000017     8676 filter.has_basis.filter_eq
0.000017     8677 filter.generate_eq_generate_inter
0.000017     8678 filter.of_sets_filter_eq_generate
0.000015     8679 filter.is_countably_generated.filter_basis_filter
0.000014     8680 false_of_true_eq_false
0.000017     8681 filter_basis.nonempty_sets
0.000017     8682 filter_basis.eq_infi_principal
0.000017     8683 filter.is_countably_generated.exists_countable_infi_principal
0.000017     8684 infi_false
0.000016     8685 infi_top
0.000016     8686 infi_emptyset
0.000015     8687 is_glb_cInf
0.000016     8688 is_glb.cInf_eq
0.000017     8689 is_least.nonempty
0.000015     8690 is_least.cInf_eq
0.000016     8691 cInf_singleton
0.000015     8692 cinfi_const
0.000016     8693 option.iget._main
0.000015     8694 option.iget
0.000016     8695 option.iget_some
0.000015     8696 set.countable_iff_exists_surjective_to_subtype
0.000016     8697 filter.countable_binfi_eq_infi_seq
0.000015     8698 filter.countable_binfi_eq_infi_seq'
0.000016     8699 filter.countable_binfi_principal_eq_seq_infi
0.000015     8700 filter.is_countably_generated.exists_seq
0.000016     8701 Exists.some
0.000015     8702 filter.has_basis.index._proof_1
0.000016     8703 Exists.some_spec
0.000015     8704 filter.has_basis.index._proof_2
0.000016     8705 filter.has_basis.index
0.000015     8706 subtype.prop
0.000016     8707 subtype.coe_prop
0.000014     8708 filter.has_basis.property_index
0.000016     8709 filter.has_basis.set_index_mem
0.000015     8710 monotone_of_monotone_nat
0.000016     8711 filter.has_basis.set_index_subset
0.000015     8712 filter.is_countably_generated.exists_antimono_subbasis
0.000016     8713 filter.is_countably_generated.exists_antimono_basis
0.000016     8714 set.bInter_mono'
0.000014     8715 set.Iic_subset_Iic
0.000016     8716 infi_neg
0.000015     8717 set.Inter_neg
0.000016     8718 set.Inter_univ
0.000016     8719 set.bInter_union
0.000014     8720 set.bInter_singleton
0.000016     8721 set.bInter_insert
0.000015     8722 filter.inter_mem_sets_iff
0.000016     8723 filter.bInter_mem_sets
0.000015     8724 set.fintype_le_nat._proof_1
0.000014     8725 set.fintype_le_nat._proof_2
0.000017     8726 set.fintype_lt_nat._proof_1
0.000014     8727 set.fintype_lt_nat
0.000017     8728 set.fintype_le_nat
0.000014     8729 set.finite_le_nat
0.000017     8730 filter.antimono_seq_of_seq
0.000014     8731 encodable.nat._proof_1
0.000017     8732 encodable.nat
0.000015     8733 filter.is_basis.filter_eq_generate
0.000014     8734 filter.has_basis.eq_generate
0.000016     8735 filter.is_countably_generated_seq
0.000015     8736 filter.is_countably_generated_iff_exists_antimono_basis
0.000016     8737 filter.is_countably_generated.exists_antimono_seq'
0.000015     8738 filter.has_basis.le_basis_iff
0.000017     8739 set.mem_prod_eq
0.000014     8740 filter.has_basis.cauchy_iff
0.000017     8741 cauchy_iff
0.000015     8742 sequentially_complete.set_seq_aux._proof_1
0.000016     8743 sequentially_complete.set_seq_aux
0.000029     8744 sequentially_complete.set_seq
0.000016     8745 filter.ne_bot.nonempty_of_mem
0.000014     8746 sequentially_complete.set_seq_mem
0.000014     8747 sequentially_complete.seq._proof_1
0.000017     8748 sequentially_complete.seq
0.000015     8749 prod_mk_mem_comp_rel
0.000014     8750 le_nhds_of_cauchy_adhp_aux
0.000019     8751 set.bInter_subset_of_mem
0.000017     8752 sequentially_complete.set_seq_sub_aux
0.000015     8753 set.bInter_subset_bInter_left
0.000014     8754 sequentially_complete.set_seq_mono
0.000019     8755 sequentially_complete.set_seq_prod_subset
0.000015     8756 sequentially_complete.seq_mem
0.000014     8757 sequentially_complete.le_nhds_of_seq_tendsto_nhds
0.000016     8758 sequentially_complete.seq_pair_mem
0.000015     8759 uniform_space.complete_of_convergent_controlled_sequences
0.000016     8760 prod.map
0.000015     8761 cauchy_map_iff'
0.000016     8762 prod.map_fst
0.000015     8763 prod.map_snd
0.000016     8764 prod.map_def
0.000015     8765 cauchy_seq_iff_tendsto
0.000017     8766 cauchy_seq_of_controlled
0.000015     8767 uniform_space.complete_of_cauchy_seq_tendsto
0.000016     8768 filter.is_countably_generated_of_seq
0.000015     8769 ennreal.has_inv
0.000016     8770 emetric.mk_uniformity_basis
0.000015     8771 ennreal.top_mul
0.000016     8772 ennreal.inv_top
0.000015     8773 function.bijective
0.000017     8774 function.involutive.surjective
0.000015     8775 function.involutive.bijective
0.000014     8776 ennreal.top_ne_coe
5.235310     8777 ennreal.top_ne_zero
0.000080     8778 ennreal.coe_eq_zero
0.000024     8779 ennreal.inv_zero
0.000015     8780 with_top.coe_le_iff
0.000014     8781 ennreal.coe_le_iff
0.000014     8782 le_of_mul_le_mul_left
0.000014     8783 mul_le_mul_left
0.000024     8784 nnreal.inv_le
0.000017     8785 ennreal.coe_one
0.000014     8786 ennreal.coe_mul
0.000014     8787 ennreal.coe_inv
0.000014     8788 ennreal.inv_inv
0.000014     8789 ennreal.inv_involutive
0.000017     8790 ennreal.inv_bijective
0.000015     8791 ennreal.inv_eq_inv
0.000014     8792 ennreal.inv_eq_zero
0.000014     8793 ennreal.inv_ne_zero
0.000014     8794 ennreal.inv_pos
0.000014     8795 with_top.coe_one
0.000014     8796 with_top.coe_nat
0.000014     8797 with_top.nat_ne_top
0.000017     8798 ennreal.nat_ne_top
0.000015     8799 ennreal.not_lt_zero
0.000017     8800 or.symm
0.000015     8801 has_le.le.lt_or_eq
0.000017     8802 eq_or_lt_of_le
0.000015     8803 ennreal.inv_eq_top
0.000014     8804 inv_lt_inv
0.000014     8805 ennreal.inv_lt_inv
0.000016     8806 monoid_hom.to_fun
0.000015     8807 monoid_hom.has_coe_to_fun
0.000017     8808 monoid_hom.map_one'
0.000015     8809 monoid_hom.map_one
0.000017     8810 monoid_hom.map_mul'
0.000015     8811 monoid_hom.map_mul
0.000014     8812 monoid_hom.map_pow
0.000017     8813 add_monoid_hom.to_multiplicative._proof_1
0.000015     8814 add_monoid_hom.to_multiplicative._proof_2
0.000017     8815 add_monoid_hom.to_multiplicative._proof_3
0.000014     8816 monoid_hom.cases_on
0.000018     8817 monoid_hom.coe_inj
0.000015     8818 monoid_hom.ext
0.000017     8819 add_monoid_hom.to_multiplicative._proof_4
0.000016     8820 add_monoid_hom.to_multiplicative
0.000018     8821 add_monoid_hom.map_nsmul
0.000015     8822 nnreal.coe_one
0.000014     8823 nnreal.coe_mul
0.000014     8824 nnreal.to_real_hom
0.000016     8825 nnreal.nsmul_coe
0.000015     8826 nnreal.archimedean._match_1
0.000017     8827 nnreal.archimedean
0.000015     8828 ennreal.coe_nat
0.000017     8829 ennreal.coe_lt_coe_nat
0.000016     8830 ennreal.exists_nat_gt
0.000017     8831 ennreal.inv_ne_top
0.000015     8832 ennreal.exists_inv_nat_lt
0.000014     8833 uniformity_basis_edist_inv_nat
0.000014     8834 emetric.uniformity_has_countable_basis
0.000018     8835 emetric.complete_of_cauchy_seq_tendsto
0.000015     8836 metric.complete_of_cauchy_seq_tendsto
0.000017     8837 prod.map.equations._eqn_1
0.000015     8838 filter.has_basis.cauchy_seq_iff
0.000018     8839 symm_of_uniformity
0.000014     8840 comp_symm_of_uniformity
0.000014     8841 filter.has_basis.cauchy_seq_iff'
0.000014     8842 metric.cauchy_seq_iff'
0.000018     8843 cau_seq.is_complete
0.000015     8844 cau_seq.is_complete.is_complete
0.000017     8845 cau_seq.complete
0.000015     8846 cau_seq.lim
0.000017     8847 cau_seq.const_neg
0.000015     8848 cau_seq.exists_gt
0.000014     8849 cau_seq.exists_lt
0.000014     8850 sub_right_comm
0.000018     8851 real.add_comm_semigroup
0.000014     8852 real.cau_seq_converges
0.000014     8853 real.abs.cau_seq.is_complete
0.000014     8854 metric.ball
0.000017     8855 nhds_basis_uniformity
0.000018     8856 metric.nhds_basis_ball
0.000017     8857 metric.mem_nhds_iff
0.000017     8858 cau_seq.equiv_lim
0.000018     8859 real.complete_space
0.000015     8860 has_sum.summable
0.000016     8861 inv_pow'
0.000017     8862 norm_num.sub_pos
0.000015     8863 norm_num.add_pos_neg_pos
0.000017     8864 norm_num.clear_denom_add
0.000018     8865 bit0_pos
0.000015     8866 zero_lt_one'
0.000017     8867 norm_num.clear_denom_div
0.000017     8868 norm_num.one_succ
0.000018     8869 norm_num.inv_one_div
0.000015     8870 has_continuous_mul
0.000016     8871 topological_semiring
0.000015     8872 add_monoid_hom.mul_left._proof_1
0.000017     8873 add_monoid_hom.mul_left._proof_2
0.000015     8874 add_monoid_hom.mul_left
0.000016     8875 finset.sum_eq_multiset_sum
0.000015     8876 list.sum
0.000014     8877 multiset.sum_eq_foldl
0.000016     8878 multiset.coe_sum
0.000015     8879 list.sum.equations._eqn_1
0.000016     8880 list.foldl_map
0.000016     8881 list.foldl_hom
0.000014     8882 list.sum_hom
0.000016     8883 multiset.sum_hom
0.000015     8884 add_monoid_hom.map_multiset_sum
0.000016     8885 add_monoid_hom.map_sum
0.000015     8886 has_sum.map
0.000016     8887 continuous.comp
0.000015     8888 has_continuous_mul.continuous_mul
0.000016     8889 continuous_mul
0.000015     8890 continuous.mul
0.000016     8891 topological_semiring.to_has_continuous_mul
0.000015     8892 continuous_at_const
0.000016     8893 continuous_const
0.000015     8894 continuous_id
0.000016     8895 has_sum.mul_left
0.000017     8896 topological_ring
0.000015     8897 topological_ring.to_has_continuous_add
0.000018     8898 topological_ring.to_has_continuous_mul
0.000017     8899 topological_ring.to_topological_semiring
0.000014     8900 lt_sub_iff_add_lt
0.000017     8901 neg_add_lt_iff_lt_add_right
0.000014     8902 neg_lt_sub_iff_lt_add
0.000017     8903 abs_sub_lt_iff
0.000015     8904 sub_lt
0.000016     8905 set.set_of_and
0.000015     8906 set.mem_Ioi
0.000016     8907 set.Ioi.equations._eqn_1
0.000015     8908 sub_sub_cancel
0.000016     8909 set.Iio.equations._eqn_1
0.000015     8910 nhds_eq_infi_abs_sub
1.771240     8911 linear_ordered_add_comm_group.tendsto_nhds
0.000084     8912 set.nonempty.fst
0.000022     8913 set.nonempty.snd
0.000015     8914 set.nonempty.prod
0.000016     8915 set.prod_nonempty_iff
0.000014     8916 set.prod_eq_empty_iff
0.000014     8917 set.fst_image_prod_subset
0.000015     8918 set.fst_image_prod
0.000014     8919 set.mem_image_eq
0.000015     8920 eq_false_of_not_eq_true
0.000014     8921 or_eq_of_eq_false_right
0.000014     8922 not_eq_of_eq_true
0.000015     8923 auto.classical.implies_iff_not_or
0.000014     8924 auto.not_exists_eq
0.000014     8925 auto.not_and_eq
0.000014     8926 set.image_subset
0.000014     8927 set.snd_image_prod_subset
0.000014     8928 set.snd_image_prod
0.000018     8929 set.prod_subset_prod_iff
0.000015     8930 filter.prod_mem_prod_iff
0.000016     8931 prod_mem_nhds_iff
0.000017     8932 prod_mem_nhds_sets
0.000017     8933 eventually_abs_sub_lt
0.000017     8934 add_sub_comm
0.000015     8935 has_le.le.le_iff_eq
0.000014     8936 abs_nonpos_iff
0.000017     8937 filter.eventually.mp
0.000017     8938 filter.eventually_of_forall
0.000017     8939 filter.eventually.mono
0.000016     8940 linear_ordered_add_comm_group.topological_add_group
0.000015     8941 order_topology_of_nhds_abs
0.000017     8942 metric.ball.equations._eqn_1
0.000015     8943 real.order_topology
0.000016     8944 real.topological_add_group
0.000015     8945 subtype.uniform_space
0.000016     8946 subtype.topological_space
0.000015     8947 filter.range_mem_map
0.000015     8948 filter.map_comap
0.000016     8949 filter.map_comap_of_mem
0.000015     8950 map_nhds_induced_of_mem
0.000014     8951 map_nhds_subtype_coe_eq
0.000017     8952 filter.tendsto_map'
0.000015     8953 tendsto_of_uniform_continuous_subtype
0.000015     8954 real.uniform_continuous_mul
0.000014     8955 is_open.prod
0.000014     8956 closure
0.000015     8957 frontier
0.000016     8958 continuous_at.equations._eqn_1
0.000015     8959 continuous_on.equations._eqn_1
0.000016     8960 continuous_within_at.equations._eqn_1
0.000017     8961 nhds_within_univ
0.000015     8962 continuous_iff_continuous_on_univ
0.000016     8963 filter.tendsto.if
0.000015     8964 filter.tendsto.piecewise
0.000016     8965 nhds_within_inter'
0.000015     8966 filter.tendsto.piecewise_nhds_within
0.000016     8967 set.inter_univ
0.000015     8968 set.inter_union_distrib_left
0.000016     8969 is_greatest.is_lub
0.000015     8970 is_lub_singleton
0.000018     8971 is_lub.insert
0.000017     8972 is_lub_pair
0.000015     8973 galois_connection.l_sup
0.000016     8974 filter.map_sup
0.000015     8975 filter.tendsto_sup
0.000016     8976 continuous_within_at_union
0.000015     8977 continuous_within_at.union
0.000016     8978 filter.eventually_eq
0.000015     8979 filter.ext'
0.000016     8980 filter.eventually_map
0.000015     8981 filter.eventually.congr
0.000016     8982 filter.eventually_congr
0.000015     8983 filter.map_congr
0.000016     8984 continuous_within_at.congr_of_eventually_eq
0.000015     8985 self_mem_nhds_within
0.000016     8986 continuous_within_at.congr
0.000015     8987 filter.frequently
0.000016     8988 filter.frequently.equations._eqn_1
0.000015     8989 mem_interior_iff_mem_nhds
0.000017     8990 closure.equations._eqn_1
0.000014     8991 set.sInter_image
0.000017     8992 set.compl_sUnion
0.000014     8993 set.compl_image
0.000016     8994 set.compl_image_set_of
0.000015     8995 closure_eq_compl_interior_compl
0.000017     8996 mem_closure_iff_frequently
0.000014     8997 cluster_pt_principal_iff
0.000017     8998 filter.frequently.exists
0.000014     8999 filter.frequently.and_eventually
0.000017     9000 and_not_self
0.000015     9001 filter.frequently_iff_forall_eventually_exists_and
0.000016     9002 filter.frequently_iff
0.000019     9003 cluster_pt_principal_iff_frequently
0.000015     9004 mem_closure_iff_cluster_pt
0.000014     9005 mem_closure_iff_nhds_within_ne_bot
0.000016     9006 filter.tendsto_bot
0.000015     9007 continuous_within_at_of_not_mem_closure
0.000016     9008 set.subset_sInter
0.000015     9009 subset_closure
0.000017     9010 compl_injective
0.000015     9011 compl_inj_iff
0.000016     9012 closure_compl
0.000015     9013 monotone.map_inf_le
0.000016     9014 set.sInter_subset_of_mem
0.000015     9015 closure_minimal
0.000016     9016 set.sUnion_eq_compl_sInter_compl
0.000015     9017 set.image_comp
0.000016     9018 set.compl_comp_compl
0.000015     9019 auto.not_forall_eq
0.000016     9020 auto.not_or_eq
0.000015     9021 auto.not_not_eq
0.000016     9022 set.image_congr
0.000014     9023 set.image_id
0.000016     9024 set.compl_compl_image
0.000015     9025 set.compl_sInter
0.000016     9026 is_closed_sInter
0.000015     9027 is_closed_closure
0.000016     9028 closure_mono
0.000017     9029 monotone_closure
0.000016     9030 closure_inter_subset_inter_closure
0.000016     9031 set.piecewise_eq_of_not_mem
0.000015     9032 continuous_on.piecewise'
0.000016     9033 continuous_on.if'
0.000015     9034 if_t_t
0.000016     9035 nhds_within_mono
0.000015     9036 tendsto_nhds_within_mono_left
0.000016     9037 set.mem_compl_iff
0.000015     9038 continuous_on.mono
0.000016     9039 continuous_on.if
0.000015     9040 set.univ_inter
0.000016     9041 continuous_if
0.973233     9042 frontier.equations._eqn_1
0.000076     9043 set.diff_eq
0.000025     9044 frontier_eq_closure_inter_closure
0.000015     9045 is_closed.closure_eq
0.000014     9046 closure_le_eq
0.000014     9047 closure_lt_subset_le
0.000014     9048 frontier_le_subset_eq
0.000014     9049 continuous_if_le
0.000014     9050 continuous.continuous_on
0.000014     9051 continuous.if_le
0.000014     9052 continuous.min
0.000014     9053 is_closed.preimage
0.000014     9054 continuous_swap
0.000014     9055 order_dual.order_closed_topology
0.000014     9056 continuous.max
0.000014     9057 continuous_abs
0.000014     9058 real.continuous_mul
0.000014     9059 real.topological_ring
0.000018     9060 real.topological_semiring
0.000017     9061 geom_sum
0.000015     9062 pi.can_lift._proof_1
0.000016     9063 pi.can_lift
0.000017     9064 nnreal.can_lift._proof_1
0.000018     9065 nnreal.can_lift
0.000015     9066 ring_hom.map_sum
0.000014     9067 nnreal.coe_sum
0.000017     9068 filter.eventually_le
0.000017     9069 is_closed.closure_subset
0.000015     9070 filter.frequently.mem_closure
0.000016     9071 filter.frequently.mem_of_closed
0.000018     9072 filter.tendsto.eventually
0.000017     9073 filter.tendsto.frequently
0.000017     9074 is_closed.mem_of_frequently_of_tendsto
0.000015     9075 filter.compl_not_mem_sets
0.000016     9076 filter.eventually.frequently
0.000015     9077 is_closed.mem_of_tendsto
0.000017     9078 le_of_tendsto_of_tendsto
0.000015     9079 ge_of_tendsto
0.000016     9080 ge_of_tendsto'
0.000015     9081 nhds_subtype_eq_comap
0.000016     9082 tendsto_subtype_rng
0.000015     9083 nnreal.tendsto_coe
0.000016     9084 nnreal.tendsto_coe'
0.000016     9085 inducing
0.000014     9086 embedding
0.000016     9087 inducing.induced
0.000015     9088 embedding.to_inducing
0.000016     9089 embedding.tendsto_nhds_iff
0.000015     9090 le_generate_from_iff_subset_is_open
0.000015     9091 le_generate_from
0.000016     9092 set.Icc
0.000015     9093 set.ord_connected
0.000016     9094 subtype.preorder
0.000015     9095 set.ord_connected.out'
0.000014     9096 set.ord_connected.out
0.000017     9097 order_topology_of_ord_connected
0.000015     9098 set.ord_connected_Ici
0.000014     9099 nnreal.order_topology
0.000016     9100 is_open_lt
0.000015     9101 is_open_Ioi
0.000016     9102 is_open_Iio
0.000015     9103 ennreal.embedding_coe
0.000016     9104 ennreal.tendsto_coe
0.000015     9105 ennreal.of_nnreal_hom._proof_1
0.000016     9106 ennreal.of_nnreal_hom._proof_2
0.000015     9107 ennreal.of_nnreal_hom
0.000016     9108 ennreal.coe_finset_sum
0.000015     9109 ennreal.has_sum_coe
0.000016     9110 filter.mem_at_top
0.000015     9111 filter.tendsto_at_top_at_top_of_monotone
0.000016     9112 monotone.tendsto_at_top_at_top
0.000015     9113 list.length_range'
0.000016     9114 list.range'_append
0.000015     9115 list.range'_sublist_right
0.000016     9116 list.range'_subset_right
0.000015     9117 list.range_subset
0.000016     9118 multiset.range_subset
0.000015     9119 finset.range_subset
0.000016     9120 finset.range_mono
0.000015     9121 finset.exists_nat_subset_range
0.000016     9122 filter.tendsto_finset_range
0.000015     9123 has_sum.tendsto_sum_nat
0.000016     9124 tendsto_order
0.000015     9125 push_neg.not_exists_eq
0.000016     9126 exists_lt_of_lt_cSup
0.000015     9127 set.range_nonempty_iff_nonempty
0.000016     9128 set.range_nonempty
0.000016     9129 exists_lt_of_lt_csupr
0.000014     9130 le_csupr
0.000016     9131 filter.tendsto_of_not_nonempty
0.000015     9132 tendsto_at_top_csupr
0.000016     9133 order_top.bdd_above
0.000015     9134 tendsto_at_top_supr
0.000016     9135 supr_eq_of_tendsto
0.000015     9136 finset.sum_le_sum_of_subset
0.000016     9137 ennreal.has_sum
0.000015     9138 ennreal.tsum_eq_supr_sum
0.000017     9139 supr_le_supr2
0.000015     9140 supr_comp_le
0.000016     9141 monotone.supr_comp_eq
0.000015     9142 finset.sum_mono_set
0.000016     9143 ennreal.tsum_eq_supr_sum'
0.000015     9144 ennreal.tsum_eq_supr_nat
0.000016     9145 ennreal.summable
0.000015     9146 ennreal.has_sum_iff_tendsto_nat
0.000014     9147 nnreal.has_sum_iff_tendsto_nat
0.000016     9148 has_sum_iff_tendsto_nat_of_nonneg
0.000015     9149 pow_nonneg
0.000016     9150 geom_sum₂
0.000015     9151 geom_sum₂_with_one
0.000016     9152 finset.range_zero
0.000015     9153 finset.sum_empty
0.000016     9154 multiset.range.equations._eqn_1
0.000015     9155 list.range'_concat
0.000016     9156 list.range_succ
0.000015     9157 multiset.coe_add
0.000016     9158 multiset.range_succ
0.000015     9159 finset.range_succ
0.000016     9160 finset.sum_range_succ_comm
0.000015     9161 semiconj_by.add_right
0.000014     9162 commute.add_right
0.000016     9163 is_add_hom
0.000016     9164 is_add_monoid_hom
0.000014     9165 is_add_monoid_hom.map_zero
0.000016     9166 add_monoid_hom.of._proof_1
0.000015     9167 is_add_hom.map_add
0.000016     9168 is_add_monoid_hom.to_is_add_hom
0.000015     9169 add_monoid_hom.of._proof_2
0.000016     9170 add_monoid_hom.of
0.000015     9171 finset.sum_hom
0.000016     9172 is_add_monoid_hom.is_add_monoid_hom_mul_left
0.000015     9173 finset.mul_sum
0.000016     9174 commute.geom_sum₂_mul_add
0.000015     9175 semiconj_by.neg_left
1.191360     9176 semiconj_by.sub_left
0.000078     9177 commute.sub_left
0.000024     9178 commute.geom_sum₂_mul
0.000014     9179 commute.one_right
0.000015     9180 geom_sum_mul
0.000014     9181 geom_sum_eq
0.000015     9182 one_div_mul_one_div_rev
0.000015     9183 eq_inv_of_mul_right_eq_one
0.000014     9184 eq_one_div_of_mul_eq_one
0.000013     9185 one_div_neg_one_eq_neg_one
0.000014     9186 one_div_neg_eq_neg_one_div
0.000015     9187 mul_one_div
0.000014     9188 div_neg_eq_neg_div
0.000014     9189 neg_inv
0.000014     9190 tendsto_mul
0.000014     9191 filter.tendsto.mul
0.000016     9192 semi_normed_ring
0.000017     9193 semi_normed_ring.to_pseudo_metric_space
0.000017     9194 semi_normed_ring.to_ring
0.000018     9195 semi_normed_ring.to_has_norm
0.000017     9196 semi_normed_ring.to_semi_normed_group._proof_1
0.000017     9197 semi_normed_ring.to_semi_normed_group._proof_2
0.000018     9198 semi_normed_ring.to_semi_normed_group._proof_3
0.000015     9199 semi_normed_ring.to_semi_normed_group._proof_4
0.000016     9200 semi_normed_ring.to_semi_normed_group._proof_5
0.000015     9201 semi_normed_ring.to_semi_normed_group._proof_6
0.000016     9202 semi_normed_ring.to_semi_normed_group._proof_7
0.000017     9203 semi_normed_ring.to_semi_normed_group._proof_8
0.000017     9204 semi_normed_ring.dist_eq
0.000017     9205 semi_normed_ring.to_semi_normed_group
0.000017     9206 metric.mem_ball
0.000015     9207 real.dist_0_eq_abs
0.000016     9208 abs_dist
0.000017     9209 metric.uniformity_eq_comap_nhds_zero
0.000015     9210 nhds_comap_dist
0.000016     9211 tendsto_iff_dist_tendsto_zero
0.000015     9212 tendsto_iff_norm_tendsto_zero
0.000017     9213 tendsto_of_tendsto_of_tendsto_of_le_of_le'
0.000017     9214 squeeze_zero'
0.000015     9215 squeeze_zero
0.000016     9216 norm_add_le
0.000015     9217 norm_add_le_of_le
0.000016     9218 semi_normed_ring.norm_mul
0.000015     9219 norm_mul_le
0.000016     9220 norm_zero
0.000015     9221 lipschitz_with
0.000016     9222 emetric.uniform_continuous_iff
0.000015     9223 ennreal.div_inv_monoid._proof_1
0.000016     9224 ennreal.div_inv_monoid._proof_2
0.000015     9225 ennreal.div_inv_monoid._proof_3
0.000016     9226 ennreal.div_inv_monoid._proof_4
0.000015     9227 ennreal.div_inv_monoid._proof_5
0.000016     9228 ennreal.div_inv_monoid._proof_6
0.000015     9229 ennreal.div_inv_monoid
0.000014     9230 canonically_ordered_semiring.mul_pos
0.000017     9231 ennreal.coe_ne_top
0.000014     9232 lipschitz_with.edist_le_mul
0.000016     9233 ennreal.zero_div
0.000015     9234 ennreal.div_top
0.000016     9235 ite_eq_left_iff
0.000015     9236 ennreal.mul_top
0.000016     9237 ennreal.mul_le_mul_left
0.000015     9238 with_top.top_mul_top
0.000016     9239 with_top.mul_eq_top_iff
0.000015     9240 ennreal.mul_eq_top
0.000015     9241 ennreal.div_eq_top
0.000016     9242 ennreal.zero_ne_top
0.000015     9243 ennreal.le_div_iff_mul_le
0.000015     9244 ennreal.div_le_iff_le_mul
0.000015     9245 ennreal.div_le_of_le_mul
0.000016     9246 ennreal.mul_lt_of_lt_div
0.000016     9247 lipschitz_with.uniform_continuous
0.000015     9248 ennreal.max_zero_right
0.000015     9249 prod.pseudo_emetric_space_max._proof_1
0.000016     9250 prod.pseudo_emetric_space_max._proof_2
0.000015     9251 prod.pseudo_emetric_space_max._proof_3
0.000016     9252 prod.pseudo_emetric_space_max._proof_4
0.000015     9253 prod.pseudo_emetric_space_max
0.000016     9254 nndist
0.000015     9255 nndist.equations._eqn_1
0.000014     9256 ennreal.coe_nnreal_eq
0.000014     9257 ennreal.of_real_eq_coe_nnreal
0.000016     9258 edist_nndist
0.000015     9259 dist_add_right
0.000016     9260 dist_add_left
0.000017     9261 dist_add_add_le
0.000014     9262 nndist_add_add_le
0.000016     9263 edist_add_add_le
0.000015     9264 lipschitz_with.add
0.000016     9265 norm_sub_rev
0.000015     9266 dist_neg_neg
0.000016     9267 lipschitz_with.neg
0.000015     9268 lipschitz_with.sub
0.000016     9269 lipschitz_with.of_edist_le
0.000015     9270 lipschitz_with.prod_fst
0.000017     9271 lipschitz_with.prod_snd
0.000014     9272 normed_uniform_group
0.000016     9273 normed_top_monoid
0.000015     9274 sub_le_iff_le_add'
0.000016     9275 abs_sub_le_iff
0.000015     9276 sub_le_iff_le_add
0.000017     9277 dist_triangle_left
0.000015     9278 abs_dist_sub_le
0.000016     9279 uniform_continuous_dist
0.000015     9280 continuous_dist
0.000016     9281 filter.tendsto.dist
0.000016     9282 tendsto_norm
0.000014     9283 filter.tendsto.norm
0.000016     9284 has_continuous_sub
0.000016     9285 has_continuous_sub.continuous_sub
0.000014     9286 filter.tendsto.sub
0.000016     9287 continuous_add
0.000015     9288 continuous.add
0.000016     9289 continuous.neg
0.000015     9290 topological_add_group.to_has_continuous_sub
0.000016     9291 normed_top_group
0.000015     9292 semi_normed_ring_top_monoid
0.000017     9293 semi_normed_comm_ring
0.000014     9294 semi_normed_comm_ring.to_semi_normed_ring
0.000017     9295 normed_ring
0.000015     9296 normed_ring.to_ring
0.000016     9297 normed_comm_ring
0.000015     9298 normed_ring.to_has_norm
0.000026     9299 normed_comm_ring.to_normed_ring
2.655239     9300 normed_ring.to_metric_space
0.000081     9301 normed_ring.dist_eq
0.000019     9302 normed_comm_ring.to_semi_normed_comm_ring._proof_1
0.000015     9303 normed_ring.norm_mul
0.000014     9304 normed_comm_ring.to_semi_normed_comm_ring._proof_2
0.000015     9305 normed_comm_ring.mul_comm
0.000015     9306 normed_comm_ring.to_semi_normed_comm_ring
0.000014     9307 normed_field.to_field
0.000014     9308 normed_field.to_normed_comm_ring._proof_1
0.000015     9309 normed_field.to_normed_comm_ring._proof_2
0.000014     9310 normed_field.to_normed_comm_ring._proof_3
0.000014     9311 normed_field.to_normed_comm_ring._proof_4
0.000014     9312 normed_field.to_normed_comm_ring._proof_5
0.000014     9313 normed_field.to_normed_comm_ring._proof_6
0.000015     9314 normed_field.to_normed_comm_ring._proof_7
0.000014     9315 normed_field.to_normed_comm_ring._proof_8
0.000014     9316 normed_field.to_normed_comm_ring._proof_9
0.000014     9317 normed_field.to_normed_comm_ring._proof_10
0.000014     9318 normed_field.to_normed_comm_ring._proof_11
0.000017     9319 normed_field.to_normed_comm_ring._proof_12
0.000015     9320 normed_field.to_normed_comm_ring._proof_13
0.000015     9321 normed_field.to_normed_comm_ring._proof_14
0.000016     9322 normed_field.to_normed_comm_ring._proof_15
0.000017     9323 normed_field.to_metric_space
0.000015     9324 normed_field.dist_eq
0.000018     9325 normed_field.norm_mul'
0.000017     9326 normed_field.norm_mul
0.000019     9327 normed_field.to_normed_comm_ring._proof_16
0.000017     9328 normed_field.to_normed_comm_ring._proof_17
0.000017     9329 normed_field.to_normed_comm_ring
0.000018     9330 has_le.le.eq_or_lt
0.000017     9331 filter.map_at_top_eq_of_gc
0.000015     9332 le_iff_le_iff_lt_iff_lt
0.000017     9333 nat.le_sub_left_iff_add_le
0.000017     9334 nat.le_sub_right_iff_add_le
0.000018     9335 filter.map_add_at_top_eq_nat
0.000017     9336 filter.tendsto_add_at_top_iff_nat
0.000018     9337 filter.tendsto_congr'
0.000016     9338 filter.tendsto_congr
0.000017     9339 filter.tendsto.congr
0.000017     9340 filter.tendsto.mono_right
0.000017     9341 set.Ioo
0.000017     9342 list.tfae
0.000016     9343 list.nth._main
0.000029     9344 list.nth
0.000015     9345 list.nth_le._main
0.000014     9346 list.nth_le
0.000014     9347 list.nth_le_mem
0.000019     9348 list.nth_le_nth
0.000015     9349 list.nth_len_le
0.000014     9350 list.nth_eq_some
0.000014     9351 list.nth_mem
0.000014     9352 list.tfae.out
0.000014     9353 list.tfae_of_forall
0.000016     9354 implies
0.000015     9355 implies.trans
0.000016     9356 nhds_within_has_basis
0.000015     9357 nhds_within_basis_open
0.000016     9358 mem_nhds_within
0.000016     9359 set.Ioi_inter_Iio
0.000014     9360 set.Ioo_subset_Ioo
0.000016     9361 set.Ioo_subset_Ioo_left
0.000016     9362 Ioo_mem_nhds_within_Ioi
0.000014     9363 mem_nhds_within_iff_exists_mem_nhds_inter
0.000016     9364 set.Ioc_subset_Ioi_self
0.000015     9365 nhds_within_restrict''
0.000017     9366 nhds_within_restrict'
0.000015     9367 nhds_within_restrict
0.000015     9368 nhds_within_le_of_mem
0.000016     9369 set.Ioo_subset_Ioc_self
0.000014     9370 Ioc_mem_nhds_within_Ioi
0.000017     9371 set.mem_Ico
0.000015     9372 set.left_mem_Ico
0.000015     9373 nhds_within_Ioc_eq_nhds_within_Ioi
0.000016     9374 set.Ioo_subset_Ioi_self
0.000015     9375 nhds_within_Ioo_eq_nhds_within_Ioi
0.000016     9376 tfae_mem_nhds_within_Ioi
0.000015     9377 mem_nhds_within_Ioi_iff_exists_Ioo_subset'
0.000016     9378 mem_nhds_within_Ioi_iff_exists_Ioo_subset
0.000016     9379 mem_nhds_within_Ioi_iff_exists_Ioc_subset
0.000014     9380 tendsto_inv_at_top_zero'
0.000016     9381 tendsto_inv_at_top_zero
0.000016     9382 bdd_above.equations._eqn_1
0.000014     9383 not_bdd_above_iff'
0.000017     9384 not_bdd_above_iff
0.000015     9385 filter.tendsto_at_top_at_top_of_monotone'
0.000016     9386 le_mul_of_one_le_left
0.000015     9387 pow_mono
0.000014     9388 pow_le_pow
0.000016     9389 lt_one_add
0.000016     9390 bit0.equations._eqn_1
0.000014     9391 commute.left_comm
0.000017     9392 one_add_mul_le_pow'
0.000015     9393 zero_le_two
0.000016     9394 add_one_pow_unbounded_of_pos
0.000015     9395 tendsto_add_one_pow_at_top_at_top_of_pos
0.000017     9396 tendsto_pow_at_top_at_top_of_one_lt
0.000015     9397 lt_inv
0.000015     9398 one_lt_inv
0.000016     9399 tendsto_pow_at_top_nhds_0_of_lt_1
0.000015     9400 has_sum_geometric_of_lt_1
0.000016     9401 one_half_pos
0.000015     9402 mul_lt_mul_left
0.000016     9403 lt_mul_iff_one_lt_right
0.000015     9404 lt_mul_of_one_lt_right
0.000016     9405 one_add_one_eq_two
0.000016     9406 one_lt_two
0.000014     9407 div_two_lt_of_pos
0.000016     9408 half_lt_self
0.000015     9409 one_half_lt_one
0.000017     9410 has_sum_geometric_two'
0.000015     9411 option.cases_on'._main
0.000015     9412 option.cases_on'
0.000016     9413 le_of_tendsto_of_tendsto'
0.000015     9414 has_sum_le
0.000016     9415 function.is_partial_inv_left
0.000016     9416 function.partial_inv_left
0.000014     9417 option.cases_on'._main.equations._eqn_2
0.799799     9418 option.cases_on'.equations._eqn_2
0.000077     9419 option.cases_on'._main.equations._eqn_1
0.000023     9420 option.cases_on'.equations._eqn_1
0.000015     9421 function.support
0.000014     9422 subtype.range_coe_subtype
0.000014     9423 function.support_subset_iff'
0.000015     9424 has_sum_subtype_iff_of_support_subset
0.000014     9425 has_sum_subtype_support
0.000014     9426 set.eq_univ_of_forall
0.000014     9427 equiv.range_eq_univ
0.000014     9428 equiv.has_sum_iff
0.000014     9429 equiv.has_sum_iff_of_support
0.000015     9430 equiv.of_left_inverse._proof_1
0.000014     9431 nonempty_of_exists
0.000014     9432 equiv.of_left_inverse._proof_2
0.000019     9433 equiv.of_left_inverse._proof_3
0.000018     9434 equiv.of_left_inverse._match_1
0.000015     9435 equiv.of_left_inverse._proof_4
0.000016     9436 equiv.of_left_inverse
0.000018     9437 equiv.of_injective._proof_1
0.000017     9438 equiv.of_injective
0.000015     9439 equiv.of_bijective._proof_1
0.000017     9440 equiv.subtype_equiv._proof_1
0.000015     9441 equiv.subtype_equiv._proof_2
0.000017     9442 subtype.ext_val
0.000016     9443 equiv.subtype_equiv._match_1
0.000017     9444 equiv.subtype_equiv._proof_3
0.000015     9445 equiv.subtype_equiv._match_2
0.000014     9446 equiv.subtype_equiv._proof_4
0.000017     9447 equiv.subtype_equiv
0.000014     9448 equiv.subtype_equiv_prop._proof_1
0.000015     9449 equiv.subtype_equiv_prop
0.000014     9450 equiv.set_congr
0.000014     9451 set.range_iff_surjective
0.000017     9452 function.surjective.range_eq
0.000017     9453 equiv.of_bijective._proof_2
0.000017     9454 equiv.set.univ._match_1
0.000017     9455 equiv.set.univ._proof_1
0.000015     9456 equiv.set.univ._proof_2
0.000014     9457 equiv.set.univ
0.000016     9458 equiv.of_bijective
0.000016     9459 has_sum_iff_has_sum_of_ne_zero_bij
0.000014     9460 function.mem_support
0.000017     9461 has_sum_le_inj
0.000014     9462 pos_sum_of_encodable._proof_1
0.000017     9463 pos_sum_of_encodable
0.000014     9464 nnreal.has_sum_coe
0.000017     9465 nnreal.exists_pos_sum_of_encodable
0.000015     9466 ennreal.tsum_coe_eq
0.000014     9467 ennreal.exists_pos_sum_of_encodable
0.000017     9468 multiset.map_zero
0.000015     9469 multiset.fold_distrib
0.000014     9470 finset.fold_op_distrib
0.000017     9471 finset.sum_add_distrib
0.000014     9472 has_sum.add
0.000017     9473 tsum_add
0.000015     9474 nhds_top_order
0.000014     9475 tendsto_nhds_top_mono
0.000016     9476 tendsto_nhds_top_mono'
0.000016     9477 le_add_right
0.000014     9478 le_add_left
0.000016     9479 open_embedding
0.000015     9480 inducing.map_nhds_of_mem
0.000017     9481 embedding.map_nhds_of_mem
0.000015     9482 open_embedding.to_embedding
0.000014     9483 open_embedding.open_range
0.000016     9484 open_embedding.map_nhds_eq
0.000016     9485 is_open_map
0.000016     9486 is_open_map.is_open_range
0.000015     9487 open_embedding_of_embedding_open
0.000016     9488 induced_compose
0.000015     9489 induced_inf
0.000015     9490 inducing.prod_mk
0.000016     9491 embedding.inj
0.000015     9492 embedding.prod_mk
0.000016     9493 filter.le_map
0.000015     9494 is_open_map.image_mem_nhds
0.000016     9495 is_open_map.nhds_le
0.000016     9496 imp_congr_right
0.000014     9497 is_open_iff_mem_nhds
0.000016     9498 is_open_map.of_nhds_le
0.000015     9499 is_open_map_iff_nhds_le
0.000016     9500 is_open_map.prod
0.000015     9501 eq.ge
0.000015     9502 inducing.is_open_map
0.000016     9503 open_embedding.is_open_map
0.000015     9504 open_embedding.prod
0.000016     9505 is_open_compl_singleton
0.000015     9506 is_open_ne
0.000014     9507 ennreal.is_open_ne_top
0.000016     9508 ennreal.open_embedding_coe
0.000015     9509 ennreal.nhds_coe_coe
0.000016     9510 topological_semiring.to_has_continuous_add
0.000015     9511 continuous_subtype_mk
0.000016     9512 continuous_subtype_val
0.000015     9513 nnreal.topological_semiring
0.000016     9514 ennreal.has_continuous_add
0.000015     9515 ennreal.tsum_add
0.000017     9516 upper_bounds_mono_mem
0.000015     9517 is_lub.upper_bounds_eq
0.000014     9518 is_lub_le_iff
0.000016     9519 mem_upper_bounds
0.000016     9520 lt_is_lub_iff
0.000014     9521 is_glb_lt_iff
0.000016     9522 complete_linear_order.to_linear_order
0.000015     9523 Inf_lt_iff
0.000016     9524 infi_lt_iff
0.000015     9525 with_top.add_lt_add_iff_left
0.000014     9526 ennreal.add_lt_add_iff_left
0.000016     9527 ennreal.lt_add_right
0.000016     9528 filter.eventually_at_top
0.000014     9529 sum_le_has_sum
0.000016     9530 le_has_sum
0.000015     9531 le_tsum
0.000014     9532 le_tsum'
0.000017     9533 ennreal.le_tsum
0.000014     9534 sigma
0.000016     9535 filter.mem_sets_of_eq_bot
0.000016     9536 compl_le_of_compl_le
0.000014     9537 compl_le_iff_compl_le
0.000016     9538 set.compl_subset_comm
0.000015     9539 nhds_is_closed
0.000016     9540 closed_nhds_basis
0.000015     9541 sigma.cases_on
0.000016     9542 sigma.no_confusion_type
0.000015     9543 sigma.no_confusion
0.000016     9544 sigma.decidable_eq._match_2
0.000015     9545 sigma.decidable_eq._match_1
0.000014     9546 sigma.decidable_eq._main
0.000017     9547 sigma.decidable_eq
0.000015     9548 sigma.fst
0.526297     9549 sigma_mk_injective
0.000080     9550 multiset.join
0.000022     9551 multiset.bind
0.000015     9552 multiset.sigma
0.000014     9553 quot.exists_rep
0.000014     9554 quotient.exists_rep
0.000014     9555 list.sigma
0.000014     9556 multiset.sigma.equations._eqn_1
0.000015     9557 list.sigma.equations._eqn_1
0.000014     9558 multiset.coe_join
0.000014     9559 multiset.coe_bind
0.000015     9560 multiset.coe_sigma
0.000014     9561 list.disjoint
0.000015     9562 or_and_distrib_right
0.000014     9563 list.mem_join
0.000014     9564 list.pairwise_join
0.000014     9565 list.disjoint_left
0.000014     9566 list.nodup_join
0.000018     9567 list.nodup_bind
0.000017     9568 sigma.mk.inj
0.000018     9569 sigma.mk.inj_arrow
0.000016     9570 list.nodup_sigma
0.000017     9571 multiset.nodup_sigma
0.000017     9572 finset.sigma._proof_1
0.000015     9573 finset.sigma
0.000016     9574 sigma.snd
0.000017     9575 multiset.bind.equations._eqn_1
0.000015     9576 multiset.join_zero
0.000014     9577 multiset.sum_cons
0.000017     9578 multiset.join_cons
0.000017     9579 multiset.mem_join
0.000015     9580 exists_exists_and_eq_and
0.000016     9581 multiset.mem_bind
0.000015     9582 heq_of_eq
0.000014     9583 sigma.mk.inj_eq
0.000016     9584 sigma.mk.inj_iff
0.000015     9585 heq_iff_eq
0.000016     9586 multiset.mem_sigma
0.000015     9587 finset.mem_sigma
0.000017     9588 sigma.eta
0.000014     9589 finset.sigma_preimage_mk
0.000017     9590 function.embedding.sigma_mk
0.000015     9591 finset.bUnion
0.000016     9592 finset.bUnion_val
0.000015     9593 finset.mem_bUnion
0.000016     9594 function.embedding.sigma_mk_apply
0.000015     9595 finset.sigma_eq_bUnion
0.000016     9596 finset.bUnion_empty
0.000015     9597 finset.bUnion_insert
0.000017     9598 disjoint_bot_left
0.000015     9599 finset.disjoint_empty_left
0.000015     9600 finset.forall_mem_empty_iff
0.000016     9601 finset.disjoint_union_left
0.000016     9602 finset.forall_mem_insert
0.000014     9603 finset.disjoint_bUnion_left
0.000017     9604 finset.disjoint_bUnion_right
0.000015     9605 finset.sum_bUnion
0.000025     9606 finset.sum.equations._eqn_1
0.000028     9607 finset.map_val
0.000030     9608 finset.sum_map
0.000024     9609 finset.sum_sigma
0.000017     9610 list.sum_nil
0.000014     9611 list.sum_cons
0.000017     9612 tendsto_list_sum
0.000015     9613 tendsto_multiset_sum
0.000016     9614 tendsto_finset_sum
0.000015     9615 supr_range
0.000014     9616 filter.infi_eq_generate
0.000017     9617 set.fintype_range._proof_1
0.000015     9618 set.fintype_range
0.000016     9619 set.finite_range
0.000015     9620 set.bUnion_range
0.000016     9621 set.finite_subset_Union
0.000015     9622 set.eq_finite_Union_of_finite_subset_Union
0.000016     9623 set.sInter_eq_bInter
0.000015     9624 filter.sInter_mem_sets
0.000016     9625 set.mem_sInter
0.000015     9626 set.sInter_Union
0.000017     9627 filter.mem_infi_iff
0.000015     9628 filter.at_top_finset_eq_infi
0.000014     9629 finset.mem_coe
0.000016     9630 finset.coe_singleton
0.000015     9631 finset.singleton_subset_set_iff
0.000017     9632 finset.singleton_subset_iff
0.000014     9633 filter.tendsto_at_top_finset_of_monotone
0.000016     9634 monotone.tendsto_at_top_finset
0.000015     9635 finset.monotone_preimage
0.000016     9636 finset.mem_singleton_self
0.000015     9637 filter.tendsto_finset_preimage_at_top_at_top
0.000017     9638 has_sum.sigma
0.000015     9639 equiv.sigma_equiv_prod._match_1
0.000016     9640 equiv.sigma_equiv_prod._proof_1
0.000015     9641 equiv.sigma_equiv_prod._match_2
0.000015     9642 equiv.sigma_equiv_prod._proof_2
0.000016     9643 equiv.sigma_equiv_prod
0.000015     9644 has_sum.prod_fiberwise
0.000016     9645 tsum_prod'
0.000015     9646 ennreal.tsum_prod
0.000017     9647 equiv.nat_prod_nat_equiv_nat._proof_1
0.000015     9648 equiv.nat_prod_nat_equiv_nat
0.000014     9649 equiv.summable_iff_of_has_sum_iff
0.000017     9650 equiv.tsum_eq_tsum_of_has_sum_iff_has_sum
0.000015     9651 tsum_eq_tsum_of_has_sum_iff_has_sum
0.000015     9652 equiv.tsum_eq
0.000016     9653 set.Union_subset
0.000015     9654 equiv.nat_prod_nat_equiv_nat.equations._eqn_1
0.000014     9655 equiv.coe_fn_mk
0.000014     9656 equiv.coe_fn_symm_mk
0.000017     9657 set.subset_Union
0.000016     9658 tsum_le_tsum
0.000016     9659 ennreal.tsum_le_tsum
0.000015     9660 measure_theory.outer_measure.of_function._proof_3
0.000016     9661 measure_theory.outer_measure.of_function
0.000015     9662 measure_theory.extend
0.000015     9663 measure_theory.extend.equations._eqn_1
0.000016     9664 measure_theory.extend_eq
0.000016     9665 measure_theory.extend_empty
0.000014     9666 measure_theory.induced_outer_measure._proof_1
0.000016     9667 measure_theory.induced_outer_measure
0.000015     9668 measure_theory.outer_measure.has_coe_to_fun
0.000016     9669 measurable_space.measurable_set_empty
0.000016     9670 measurable_set.empty
0.000014     9671 measure_theory.outer_measure.empty
0.000017     9672 measure_theory.outer_measure.trim
0.000015     9673 measure_theory.measure
0.000016     9674 measure_theory.measure.to_outer_measure
0.000015     9675 measure_theory.measure.has_coe_to_fun
0.467010     9676 mul_action
0.000075     9677 mul_action.to_has_scalar
0.000021     9678 distrib_mul_action
0.000015     9679 distrib_mul_action.to_mul_action
0.000014     9680 semimodule
0.000014     9681 smul_with_zero
0.000014     9682 smul_with_zero.to_has_scalar
0.000014     9683 mul_action_with_zero
0.000014     9684 mul_action_with_zero.to_mul_action
0.000015     9685 mul_action_with_zero.smul_zero
0.000014     9686 mul_action_with_zero.zero_smul
0.000014     9687 mul_action_with_zero.to_smul_with_zero
0.000014     9688 semimodule.to_distrib_mul_action
0.000015     9689 mul_action.one_smul
0.000014     9690 semimodule.to_mul_action_with_zero._proof_1
0.000018     9691 mul_action.mul_smul
0.000019     9692 semimodule.to_mul_action_with_zero._proof_2
0.000016     9693 distrib_mul_action.smul_zero
0.000018     9694 smul_zero
0.000016     9695 semimodule.to_mul_action_with_zero._proof_3
0.000018     9696 semimodule.zero_smul
0.000018     9697 semimodule.to_mul_action_with_zero
0.000017     9698 linear_map
0.000016     9699 measure_theory.outer_measure.empty'
0.000018     9700 measure_theory.outer_measure.has_add._proof_1
0.000017     9701 measure_theory.outer_measure.mono
0.000016     9702 measure_theory.outer_measure.has_add._proof_2
0.000017     9703 measure_theory.outer_measure.Union_nat
0.000015     9704 measure_theory.outer_measure.has_add._proof_3
0.000017     9705 measure_theory.outer_measure.has_add
0.000017     9706 measure_theory.measure.trimmed
0.000014     9707 measure_theory.measure_eq_trim
0.000015     9708 measure_theory.measure_eq_induced_outer_measure
0.000016     9709 encodable.decode2
0.000015     9710 supr_comm
0.000014     9711 encodable.decode2.equations._eqn_1
0.000017     9712 option.guard_eq_some
0.000015     9713 encodable.mem_decode2'
0.000016     9714 encodable.mem_decode2
0.000015     9715 infi_infi_eq_right
0.000016     9716 supr_supr_eq_right
0.000015     9717 encodable.supr_decode2
0.000016     9718 encodable.Union_decode2
0.000015     9719 measurable_space.measurable_set_Union
0.000015     9720 supr_neg
0.000016     9721 set.Union_neg
0.000015     9722 supr_bot
0.000015     9723 set.Union_empty
0.000016     9724 encodable.Union_decode2_cases
0.000015     9725 measurable_set.bUnion_decode2
0.000014     9726 measurable_set.Union
0.000017     9727 finset.attach_val
0.000014     9728 multiset.attach_map_val
0.000017     9729 finset.erase_dup_eq_self
0.000015     9730 finset.attach_image_val
0.000016     9731 finset.sum_attach
0.000015     9732 filter.singleton_mem_pure_sets
0.000016     9733 filter.le_pure_iff
0.000015     9734 filter.eventually_ge_at_top
0.000016     9735 filter.order_top.at_top_eq
0.000015     9736 filter.tendsto_pure
0.000016     9737 filter.tendsto_pure_pure
0.000016     9738 filter.tendsto_at_top_pure
0.000014     9739 order_top.tendsto_at_top_nhds
0.000016     9740 finset.order_top._proof_1
0.000015     9741 finset.order_top._proof_2
0.000015     9742 finset.order_top._proof_3
0.000016     9743 finset.order_top._proof_4
0.000016     9744 finset.subset_univ
0.000014     9745 finset.order_top
0.000014     9746 has_sum_fintype
0.000015     9747 finset_coe.fintype
0.000014     9748 finset.has_sum
0.000016     9749 has_sum_sum_of_ne_finset_zero
0.000015     9750 has_sum_single
0.000016     9751 tsum_eq_single
0.000015     9752 nat.rec_zero
0.000017     9753 measure_theory.outer_measure.of_function_le
0.000015     9754 measure_theory.outer_measure.of_function_eq
0.000014     9755 set.union_diff_cancel
0.000017     9756 tsum_eq_tsum_of_ne_zero_bij
0.000014     9757 supr_false
0.000017     9758 option.get_mem
0.000014     9759 encodable.encodek2
0.000017     9760 option.get_of_mem
0.000014     9761 tsum_supr_decode2
0.000017     9762 tsum_Union_decode2
0.000015     9763 option.ext
0.000016     9764 measure_theory.extend_Union_nat
0.000015     9765 set.bot_eq_empty
0.000015     9766 encodable.Union_decode2_disjoint_on
0.000016     9767 measure_theory.extend_Union
0.000015     9768 sum
0.000016     9769 unit
0.000015     9770 sum.cases_on
0.000015     9771 encodable.encode_sum._main
0.000016     9772 encodable.encode_sum
0.000015     9773 encodable.decode_sum._match_1
0.000014     9774 encodable.decode_sum
0.000016     9775 encodable.encode_sum._main.equations._eqn_1
0.000027     9776 encodable.encode_sum.equations._eqn_1
0.000016     9777 encodable.decode_sum.equations._eqn_1
0.000014     9778 nat.bodd_div2_eq
0.000014     9779 nat.bodd_bit
0.000014     9780 nat.bodd_bit0
0.000014     9781 nat.div2_bit0
0.000014     9782 encodable.decode_sum._match_1.equations._eqn_1
0.000016     9783 sum.no_confusion_type
0.000015     9784 sum.no_confusion
0.000017     9785 sum.inl.inj
0.000015     9786 sum.inl.inj_eq
0.000016     9787 encodable.encode_sum._main.equations._eqn_2
0.000016     9788 encodable.encode_sum.equations._eqn_2
0.000014     9789 nat.bodd_bit1
0.000016     9790 nat.div2_bit1
0.000014     9791 encodable.decode_sum._match_1.equations._eqn_2
0.000017     9792 sum.inr.inj
0.000015     9793 sum.inr.inj_eq
0.000016     9794 encodable.sum._proof_1
0.000014     9795 encodable.sum
0.000017     9796 punit.cases_on
0.000015     9797 iff_eq_of_eq_true_right
0.241297     9798 eq_iff_true_of_subsingleton
0.000074     9799 punit.rec_on
0.000024     9800 punit_eq
0.000015     9801 punit.subsingleton
0.000014     9802 encodable.unit._match_1
0.000014     9803 encodable.unit._proof_1
0.000014     9804 encodable.unit
0.000014     9805 sum.rec_on
0.000014     9806 equiv.bool_equiv_punit_sum_punit._proof_1
0.000014     9807 equiv.bool_equiv_punit_sum_punit._proof_2
0.000014     9808 equiv.bool_equiv_punit_sum_punit
0.000014     9809 encodable.bool
0.000014     9810 function.on_fun.equations._eqn_1
0.000014     9811 pairwise.equations._eqn_1
0.000014     9812 pairwise_on_bool
0.000018     9813 pairwise_disjoint_on_bool
0.000017     9814 bool.fintype._proof_1
0.000018     9815 finset.mk_zero
0.000017     9816 finset.mk_cons
0.000015     9817 is_lawful_singleton
0.000016     9818 is_lawful_singleton.insert_emptyc_eq
0.000017     9819 finset.is_lawful_singleton
0.000017     9820 bool.fintype._proof_2
0.000017     9821 bool.fintype
0.000017     9822 tsum_fintype
0.000017     9823 fintype.univ_bool
0.000017     9824 measure_theory.extend_union
0.000017     9825 generalized_boolean_algebra.inf_inf_sdiff
0.000015     9826 inf_inf_sdiff
0.000016     9827 sdiff_le
0.000018     9828 inf_sdiff_right
0.000014     9829 sdiff_inf_sdiff
0.000016     9830 inf_sdiff_self_right
0.000015     9831 set.inter_diff_self
0.000017     9832 set.disjoint_diff
0.000015     9833 decidable.and_iff_not_or_not
0.000016     9834 and_iff_not_or_not
0.000015     9835 set.inter_eq_compl_compl_union_compl
0.000016     9836 measurable_space.measurable_set_compl
0.000017     9837 measurable_set.compl
0.000015     9838 measurable_set.union
0.000014     9839 measurable_set.inter
0.000016     9840 measurable_set.diff
0.000015     9841 measure_theory.extend_mono
0.000016     9842 measure_theory.extend_Union_le_tsum_nat'
0.000015     9843 set.disjointed
0.000015     9844 supr_le_supr
0.000016     9845 set.Union_subset_Union
0.000015     9846 set.mem_bUnion
0.000014     9847 set.mem_bInter
0.000014     9848 set.subset_Union_disjointed
0.000014     9849 set.bUnion_subset_Union
0.000014     9850 set.Union_disjointed
0.000016     9851 set.disjointed.equations._eqn_1
0.000015     9852 nat.lt_succ_iff_lt_or_eq
0.000016     9853 set.Inter_lt_succ
0.000015     9854 set.disjointed_induct
0.000016     9855 measurable_set.disjointed
0.000015     9856 or.drec
0.000017     9857 set.disjoint_disjointed
0.000015     9858 measure_theory.extend_Union_le_tsum_nat
0.000016     9859 measure_theory.induced_outer_measure_eq_extend
0.000015     9860 measure_theory.measure.m_Union
0.000016     9861 measure_theory.measure_eq_extend
0.000015     9862 measure_theory.measure_Union
0.000016     9863 measure_theory.measure.has_add._proof_1
0.000015     9864 measure_theory.outer_measure.cases_on
0.000016     9865 measure_theory.outer_measure.coe_fn_injective
0.000015     9866 measure_theory.outer_measure.ext
0.000016     9867 fin.has_zero
0.000017     9868 nat.succ_lt_succ
0.000015     9869 fin.succ._main
0.000016     9870 fin.succ
0.000015     9871 order_embedding
0.000014     9872 fin.le
0.000016     9873 fin.has_le
0.000015     9874 order_embedding.of_strict_mono._proof_1
0.000016     9875 order_embedding.of_strict_mono
0.000015     9876 fin.lt
0.000016     9877 fin.has_lt
0.000015     9878 fin.fin_to_nat
0.000016     9879 fin.linear_order._proof_1
0.000015     9880 fin.linear_order._proof_2
0.000014     9881 fin.linear_order._proof_3
0.000017     9882 fin.linear_order._proof_4
0.000015     9883 fin.linear_order._proof_5
0.000014     9884 fin.decidable_le
0.000016     9885 fin.veq_of_eq
0.000015     9886 fin.decidable_eq._proof_1
0.000015     9887 fin.decidable_eq
0.000016     9888 fin.decidable_lt
0.000015     9889 fin.linear_order
0.000016     9890 fin.cast_lt
0.000015     9891 fin.cast_le._proof_1
0.000016     9892 fin.cast_le._proof_2
0.000015     9893 fin.cast_le
0.000016     9894 fin.cast_add
0.000014     9895 fin.cast_succ
0.000018     9896 fin.mk_zero
0.000017     9897 fin.induction._proof_1
0.000015     9898 nat.lt_of_succ_lt
0.000016     9899 fin.induction._proof_2
0.000014     9900 fin.induction
0.000017     9901 fin.cases
0.000014     9902 fin.cons
0.000016     9903 matrix.vec_cons
0.000015     9904 fin.elim0._main
0.000017     9905 fin.elim0
0.000014     9906 fin_zero_elim
0.000016     9907 matrix.vec_empty
0.000015     9908 measure_theory.outer_measure.mono'
0.000016     9909 measure_theory.extend_mono'
0.000016     9910 measure_theory.induced_outer_measure_eq_extend'
0.000016     9911 measure_theory.induced_outer_measure_eq'
0.000015     9912 measure_theory.induced_outer_measure_eq_infi
0.000014     9913 measure_theory.outer_measure.trim_eq_infi
0.000016     9914 is_compl_bot_top
0.000016     9915 compl_bot
0.000014     9916 set.compl_empty
0.000016     9917 measurable_set.univ
0.000015     9918 Inf_eq_top
0.000016     9919 infi_eq_top
0.000015     9920 measurable_set.of_compl
0.000016     9921 measurable_set.compl_iff
0.000015     9922 set.compl_Inter
0.000016     9923 measurable_set.Inter
0.000015     9924 ennreal.lt_inv_iff_lt_inv
0.000015     9925 gt_mem_nhds
0.000016     9926 ennreal.inv_lt_iff_inv_lt
0.000015     9927 lt_mem_nhds
0.000016     9928 ennreal.continuous_inv
0.281352     9929 ennreal.tendsto_inv_iff
0.000077     9930 ennreal.nhds_top
0.000024     9931 supr_congr
0.000015     9932 infi_congr
0.000014     9933 ennreal.ne_top_equiv_nnreal._match_1
0.000014     9934 ennreal.ne_top_equiv_nnreal._proof_1
0.000014     9935 ennreal.ne_top_equiv_nnreal._proof_2
0.000015     9936 ennreal.ne_top_equiv_nnreal
0.000014     9937 ennreal.cinfi_ne_top
0.000014     9938 ennreal.infi_ne_top
0.000014     9939 ennreal.nhds_top'
0.000014     9940 ennreal.tendsto_nhds_top_iff_nnreal
0.000014     9941 ennreal.tendsto_nhds_top_iff_nat
0.000014     9942 ennreal.tendsto_nhds_top
0.000014     9943 ennreal.coe_nat_lt_coe
0.000018     9944 ennreal.coe_nat_lt_coe_nat
0.000017     9945 ennreal.tendsto_nat_nhds_top
0.000017     9946 ennreal.tendsto_inv_nat_nhds_zero
0.000015     9947 measure_theory.outer_measure.exists_measurable_superset_eq_trim
0.000014     9948 has_le.le.trans_eq
0.000014     9949 measure_theory.outer_measure.trim_eq
0.000016     9950 measure_theory.outer_measure.exists_measurable_superset_forall_eq_trim
0.000018     9951 equiv.fin_equiv_subtype._proof_1
0.000017     9952 equiv.fin_equiv_subtype._proof_2
0.000017     9953 equiv.fin_equiv_subtype._match_1
0.000016     9954 equiv.fin_equiv_subtype._proof_3
0.000018     9955 equiv.fin_equiv_subtype._match_2
0.000015     9956 equiv.fin_equiv_subtype._proof_4
0.000016     9957 equiv.fin_equiv_subtype
0.000017     9958 encodable.fin
0.000015     9959 fin.forall_fin_succ
0.000014     9960 matrix.cons_val_zero
0.000017     9961 matrix.vec_cons.equations._eqn_1
0.000014     9962 fin.cons.equations._eqn_1
0.000017     9963 fin.cases_succ
0.000014     9964 fin.cons_succ
0.000017     9965 matrix.cons_val_succ
0.000014     9966 measure_theory.outer_measure.trim_binop
0.000017     9967 measure_theory.outer_measure.add_apply
0.000014     9968 measure_theory.outer_measure.trim_add
0.000017     9969 measure_theory.measure.has_add._proof_2
0.000014     9970 measure_theory.measure.has_add
0.000017     9971 measure_theory.outer_measure.has_zero._proof_1
0.000016     9972 measure_theory.outer_measure.has_zero._proof_2
0.000015     9973 measure_theory.outer_measure.has_zero._proof_3
0.000017     9974 measure_theory.outer_measure.has_zero
0.000015     9975 measure_theory.measure.has_zero._proof_1
0.000014     9976 measure_theory.outer_measure.trim_zero
0.000017     9977 measure_theory.measure.has_zero
0.000014     9978 pi.has_add
0.000017     9979 pi.add_comm_monoid._proof_1
0.000015     9980 pi.has_zero
0.000016     9981 pi.add_comm_monoid._proof_2
0.000015     9982 pi.add_comm_monoid._proof_3
0.000016     9983 pi.add_comm_monoid._proof_4
0.000015     9984 pi.add_comm_monoid._proof_5
0.000017     9985 pi.add_comm_monoid._proof_6
0.000015     9986 pi.add_comm_monoid
0.000015     9987 measure_theory.outer_measure.add_comm_monoid._proof_1
0.000016     9988 measure_theory.outer_measure.add_comm_monoid._proof_2
0.000015     9989 measure_theory.outer_measure.add_comm_monoid._proof_3
0.000015     9990 measure_theory.outer_measure.add_comm_monoid._proof_4
0.000016     9991 measure_theory.outer_measure.add_comm_monoid._proof_5
0.000015     9992 measure_theory.outer_measure.add_comm_monoid._proof_6
0.000015     9993 measure_theory.outer_measure.add_comm_monoid._proof_7
0.000016     9994 measure_theory.outer_measure.add_comm_monoid._proof_8
0.000015     9995 measure_theory.outer_measure.add_comm_monoid
0.000015     9996 measure_theory.measure.cases_on
0.000016     9997 measure_theory.measure.to_outer_measure_injective
0.000015     9998 measure_theory.measure.zero_to_outer_measure
0.000016     9999 measure_theory.measure.add_to_outer_measure
0.000015    10000 measure_theory.measure.add_comm_monoid
0.000015    10001 one_smul
0.000016    10002 function.injective.mul_action._proof_1
0.000015    10003 function.injective.mul_action._proof_2
0.000015    10004 function.injective.mul_action
0.000014    10005 function.injective.distrib_mul_action._proof_1
0.000014    10006 function.injective.distrib_mul_action._proof_2
0.000017    10007 distrib_mul_action.smul_add
0.000015    10008 smul_add
0.000016    10009 function.injective.distrib_mul_action._proof_3
0.000015    10010 function.injective.distrib_mul_action._proof_4
0.000016    10011 function.injective.distrib_mul_action
0.000015    10012 function.injective.semimodule._proof_1
0.000017    10013 function.injective.semimodule._proof_2
0.000015    10014 function.injective.semimodule._proof_3
0.000014    10015 function.injective.semimodule._proof_4
0.000016    10016 semimodule.add_smul
0.000016    10017 add_smul
0.000014    10018 function.injective.semimodule._proof_5
0.000016    10019 smul_with_zero.zero_smul
0.000015    10020 zero_smul
0.000017    10021 function.injective.semimodule._proof_6
0.000014    10022 function.injective.semimodule
0.000017    10023 measure_theory.outer_measure.has_scalar._proof_1
0.000015    10024 canonically_ordered_semiring.mul_le_mul
0.000014    10025 ennreal.mul_le_mul
0.391205    10026 ennreal.mul_left_mono
0.000076    10027 measure_theory.outer_measure.has_scalar._proof_2
0.000024    10028 filter.prod_comm'
0.000014    10029 filter.prod_comm
0.000015    10030 nhds_swap
0.000014    10031 with_top.lt_iff_exists_coe_btwn
0.000015    10032 ennreal.lt_iff_exists_nnreal_btwn
0.000014    10033 ennreal.mul_lt_mul
0.000014    10034 ennreal.tendsto_mul
0.000014    10035 ennreal.tendsto.mul
0.000015    10036 ennreal.tendsto.const_mul
0.000014    10037 ennreal.tsum_mul_left
0.000015    10038 rel_supr_tsum
0.000014    10039 measure_theory.outer_measure.Union
0.000014    10040 measure_theory.outer_measure.has_scalar._proof_3
0.000019    10041 measure_theory.outer_measure.has_scalar
0.000018    10042 pi.add_monoid._proof_1
0.000016    10043 pi.add_monoid._proof_2
0.000017    10044 pi.add_monoid._proof_3
0.000017    10045 pi.add_monoid._proof_4
0.000015    10046 pi.add_monoid._proof_5
0.000016    10047 pi.add_monoid
0.000017    10048 pi.has_scalar
0.000017    10049 pi.mul_action._proof_1
0.000017    10050 pi.mul_action._proof_2
0.000017    10051 pi.mul_action
0.000015    10052 pi.distrib_mul_action._proof_1
0.000015    10053 pi.distrib_mul_action._proof_2
0.000016    10054 pi.distrib_mul_action._proof_3
0.000015    10055 pi.distrib_mul_action._proof_4
0.000015    10056 pi.distrib_mul_action
0.000016    10057 pi.semimodule._proof_1
0.000015    10058 pi.semimodule._proof_2
0.000016    10059 pi.semimodule._proof_3
0.000015    10060 pi.semimodule._proof_4
0.000016    10061 pi.semimodule
0.000015    10062 monoid.to_mul_action._proof_1
0.000016    10063 monoid.to_mul_action._proof_2
0.000015    10064 monoid.to_mul_action
0.000015    10065 semiring.to_semimodule._proof_1
0.000016    10066 semiring.to_semimodule._proof_2
0.000015    10067 semiring.to_semimodule._proof_3
0.000014    10068 semiring.to_semimodule._proof_4
0.000017    10069 semiring.to_semimodule
0.000015    10070 measure_theory.outer_measure.coe_zero
0.000016    10071 measure_theory.outer_measure.coe_add
0.000015    10072 mul_zero_class.to_smul_with_zero
0.000016    10073 measure_theory.outer_measure.coe_smul
0.000015    10074 measure_theory.outer_measure.semimodule._proof_1
0.000015    10075 measure_theory.outer_measure.semimodule._proof_2
0.000016    10076 measure_theory.outer_measure.semimodule._proof_3
0.000015    10077 measure_theory.outer_measure.semimodule._proof_4
0.000014    10078 measure_theory.outer_measure.semimodule._proof_5
0.000017    10079 measure_theory.outer_measure.semimodule._proof_6
0.000015    10080 measure_theory.outer_measure.semimodule
0.000016    10081 measure_theory.outer_measure.measure_of_eq_coe
0.000015    10082 measure_theory.coe_to_outer_measure
0.000016    10083 pi.smul_apply
0.000015    10084 algebra.id.smul_eq_mul
0.000016    10085 measure_theory.measure.has_scalar._proof_1
0.000015    10086 measure_theory.outer_measure.trim_op
0.000017    10087 measure_theory.outer_measure.smul_apply
0.000015    10088 measure_theory.outer_measure.trim_smul
0.000016    10089 measure_theory.measure.has_scalar._proof_2
0.000015    10090 measure_theory.measure.has_scalar
0.000016    10091 measure_theory.measure.smul_to_outer_measure
0.000015    10092 measure_theory.measure.semimodule
0.000016    10093 linear_map.to_fun
0.000015    10094 linear_map.has_coe_to_fun
0.000015    10095 measurable_space.partial_order._proof_1
0.000016    10096 measurable_space.partial_order._proof_2
0.000015    10097 measurable_space.partial_order._proof_3
0.000016    10098 measurable_space.cases_on
0.000015    10099 measurable_space.ext
0.000015    10100 measurable_space.partial_order._proof_4
0.000016    10101 measurable_space.partial_order
0.000015    10102 measurable_space.dynkin_system
0.000016    10103 measurable_space.dynkin_system.has
0.000015    10104 measurable_space.dynkin_system.has_empty
0.000014    10105 measurable_space.dynkin_system.has_compl
0.000017    10106 measurable_space.dynkin_system.to_measurable_space._proof_1
0.000015    10107 measurable_space.dynkin_system.has_Union_nat
0.000014    10108 measurable_space.dynkin_system.has_Union
0.000014    10109 measurable_space.dynkin_system.to_measurable_space._proof_2
0.000015    10110 measurable_space.dynkin_system.to_measurable_space
0.000014    10111 measure_theory.outer_measure.is_caratheodory
0.000016    10112 measure_theory.outer_measure.is_caratheodory.equations._eqn_1
0.000015    10113 disjoint.sdiff_eq_left
0.000016    10114 disjoint_bot_right
0.000017    10115 sdiff_bot
0.000015    10116 set.diff_empty
0.000017    10117 set.inhabited
0.000014    10118 measure_theory.outer_measure.is_caratheodory_empty
0.000017    10119 measure_theory.outer_measure.is_caratheodory_compl
0.000015    10120 measure_theory.outer_measure.caratheodory_dynkin._proof_1
0.000016    10121 set.inter_union_diff
0.000015    10122 supr_bool_eq
0.000017    10123 fintype.sum_bool
0.000015    10124 rel_sup_add
0.000016    10125 measure_theory.outer_measure.union
0.379796    10126 measure_theory.outer_measure.le_inter_add_diff
0.000076    10127 measure_theory.outer_measure.is_caratheodory_iff_le'
0.000024    10128 set.inter_Union
0.000015    10129 set.Union_lt_succ
0.000014    10130 set.union_inter_cancel_left
0.000015    10131 le_of_inf_le_sup_le
0.000013    10132 eq_of_inf_eq_sup_eq
0.000014    10133 sdiff_unique
0.000014    10134 inf_sdiff_assoc
0.000014    10135 set.inter_diff_assoc
0.000014    10136 disjoint.sdiff_eq_of_sup_eq
0.000014    10137 disjoint.sup_sdiff_cancel_left
0.000014    10138 set.union_diff_cancel_left
0.000014    10139 measure_theory.outer_measure.measure_inter_union
0.000014    10140 measure_theory.outer_measure.is_caratheodory_sum
0.000014    10141 Sup_range
0.000019    10142 filter.eventually.filter_mono
0.000018    10143 filter.frequently.filter_mono
0.000017    10144 pure_le_nhds_within
0.000017    10145 mem_of_mem_nhds_within
0.000017    10146 filter.eventually.self_of_nhds_within
0.000016    10147 set.dual_Ioi
0.000017    10148 set.dual_Icc
0.000018    10149 set.Ici_inter_Iio
0.000015    10150 set.Ico_subset_Ico
0.000016    10151 set.Ico_subset_Ico_left
0.000015    10152 Ico_mem_nhds_within_Ici
0.000014    10153 set.Icc_subset_Ici_self
0.000016    10154 set.Ico_subset_Icc_self
0.000015    10155 Icc_mem_nhds_within_Ici
0.000016    10156 nhds_within_Icc_eq_nhds_within_Ici
0.000015    10157 nhds_within_Ico_eq_nhds_within_Ici
0.000016    10158 tfae_mem_nhds_within_Ici
0.000015    10159 tfae_mem_nhds_within_Iic
0.000014    10160 list.nth._main.equations._eqn_2
0.000016    10161 list.nth.equations._eqn_2
0.000016    10162 auto_param_eq
0.000014    10163 list.nth._main.equations._eqn_3
0.000016    10164 list.nth.equations._eqn_3
0.000015    10165 mem_nhds_within_Iic_iff_exists_Ioc_subset'
0.000016    10166 is_lub.exists_between
0.000015    10167 is_lub.frequently_mem
0.000014    10168 is_lub.frequently_nhds_mem
0.000017    10169 is_lub.mem_closure
0.000015    10170 is_lub.nhds_within_ne_bot
0.000014    10171 is_lub.inter_Ici_of_mem
0.000016    10172 is_lub.mem_upper_bounds_of_tendsto
0.000026    10173 le_of_tendsto
0.000019    10174 is_lub.is_lub_of_tendsto
0.000014    10175 ennreal.bsupr_add
0.000015    10176 ennreal.Sup_add
0.000013    10177 ennreal.supr_add
0.000015    10178 sdiff_le_sdiff_self
0.000014    10179 set.diff_subset_diff_right
0.000016    10180 ge_of_eq
0.000016    10181 sup_bot_eq
0.000014    10182 sup_sdiff
0.000016    10183 sdiff_self
0.000015    10184 sup_sdiff_right_self
0.000016    10185 sup_sdiff_left_self
0.000014    10186 set.union_diff_left
0.000016    10187 set.inter_left_comm
0.000015    10188 compl_sup
0.000016    10189 set.compl_union
0.000015    10190 measure_theory.outer_measure.is_caratheodory_union
0.000015    10191 measure_theory.outer_measure.is_caratheodory_Union_lt
0.000016    10192 measure_theory.outer_measure.is_caratheodory_Union_nat
0.000015    10193 measure_theory.outer_measure.caratheodory_dynkin._proof_2
0.000016    10194 measure_theory.outer_measure.caratheodory_dynkin
0.000015    10195 measure_theory.outer_measure.is_caratheodory_compl_iff
0.000016    10196 measure_theory.outer_measure.is_caratheodory_inter
0.000015    10197 measure_theory.outer_measure.caratheodory._proof_1
0.000014    10198 measure_theory.outer_measure.caratheodory
0.000014    10199 measure_theory.measure.of_measurable._proof_1
0.000014    10200 measure_theory.measure.of_measurable._proof_2
0.000016    10201 measure_theory.measure.of_measurable._proof_3
0.000015    10202 measure_theory.measure.of_measurable._proof_4
0.000016    10203 measure_theory.measure.of_measurable._proof_5
0.000017    10204 measure_theory.induced_outer_measure_eq
0.000015    10205 measure_theory.measure.of_measurable._proof_6
0.000016    10206 measure_theory.outer_measure.trim.equations._eqn_1
0.000015    10207 measure_theory.measure.of_measurable._proof_7
0.000016    10208 measure_theory.measure.of_measurable
0.000015    10209 measure_theory.outer_measure.f_Union
0.000016    10210 measure_theory.outer_measure.Union_eq_of_caratheodory
0.000015    10211 measure_theory.outer_measure.to_measure._proof_1
0.000015    10212 measure_theory.outer_measure.to_measure
0.000015    10213 measure_theory.outer_measure.trim_congr
0.000017    10214 measure_theory.measure.ext
0.000014    10215 linear_map.map_add'
0.000016    10216 linear_map.map_add
0.000015    10217 measure_theory.to_measure_apply
0.000016    10218 pi.add_apply
0.000015    10219 measure_theory.measure.coe_add
0.000016    10220 measure_theory.measure.lift_linear._proof_1
0.000015    10221 linear_map.map_smul'
0.000016    10222 linear_map.map_smul
0.000015    10223 measure_theory.measure.coe_smul
0.000016    10224 measure_theory.measure.lift_linear._proof_2
0.000015    10225 measure_theory.measure.lift_linear
0.000016    10226 linear_map.comp._proof_1
0.000015    10227 has_one.nonempty
0.000016    10228 linear_map.comp._proof_2
0.000015    10229 linear_map.comp
0.000016    10230 measure_theory.outer_measure.map._proof_1
0.000015    10231 measure_theory.outer_measure.map._proof_2
0.295314    10232 measure_theory.outer_measure.map._proof_3
0.000077    10233 measure_theory.outer_measure.map._proof_4
0.000024    10234 measure_theory.outer_measure.map
0.000014    10235 measure_theory.outer_measure.comap._proof_1
0.000015    10236 measure_theory.outer_measure.comap._proof_2
0.000014    10237 exists_swap
0.000015    10238 set.image_Union
0.000014    10239 measure_theory.outer_measure.comap._proof_3
0.000014    10240 measure_theory.outer_measure.comap._proof_4
0.000015    10241 measure_theory.outer_measure.comap._proof_5
0.000013    10242 measure_theory.outer_measure.comap
0.000014    10243 measure_theory.outer_measure.restrict
0.000014    10244 measure_theory.outer_measure.restrict.equations._eqn_1
0.000015    10245 linear_map.coe_comp
0.000014    10246 measure_theory.outer_measure.map_apply
0.000014    10247 measure_theory.outer_measure.comap_apply
0.000014    10248 subtype.image_preimage_coe
0.000013    10249 measure_theory.outer_measure.restrict_apply
0.000014    10250 measure_theory.to_outer_measure_eq_induced_outer_measure
0.000018    10251 measure_theory.outer_measure.is_caratheodory_iff_le
0.000017    10252 set.Union_inter
0.000015    10253 set.inter_subset_inter_left
0.000016    10254 set.Union_diff
0.000017    10255 sdiff_le_self_sdiff
0.000015    10256 set.diff_subset_diff_left
0.000016    10257 measure_theory.outer_measure.of_function_caratheodory
0.000018    10258 measure_theory.measure_union
0.000015    10259 measure_theory.le_to_outer_measure_caratheodory
0.000016    10260 measure_theory.measure.restrictₗ._proof_1
0.000017    10261 measure_theory.measure.restrictₗ
0.000019    10262 measure_theory.measure.restrict
0.000017    10263 measure_theory.measure.restrictₗ_apply
0.000018    10264 measure_theory.measure.restrictₗ.equations._eqn_1
0.000017    10265 measure_theory.measure.lift_linear_apply
0.000016    10266 measure_theory.measure.restrict_apply
0.000018    10267 set.pairwise_on
0.000014    10268 finset.attach_eq_univ
0.000014    10269 supr_subtype
0.000017    10270 supr_subtype'
0.000015    10271 set.bUnion_eq_Union
0.000014    10272 set.pairwise_on.on_injective
0.000016    10273 measure_theory.measure_bUnion
0.000016    10274 trunc
0.000014    10275 trunc.mk
0.000014    10276 trunc.exists_rep
0.000014    10277 trunc.nonempty
0.000016    10278 pi.subsingleton
0.000015    10279 trunc.ind
0.000017    10280 trunc.induction_on
0.000014    10281 trunc.induction_on₂
0.000017    10282 trunc.eq
0.000016    10283 trunc.subsingleton
0.000015    10284 encodable.trunc_encodable_of_fintype._proof_1
0.000017    10285 list.find_index._main
0.000014    10286 list.find_index
0.000017    10287 list.index_of
0.000015    10288 list.index_of_cons
0.000016    10289 nat.succ_inj'
0.000014    10290 list.index_of_eq_length
0.000017    10291 list.index_of_le_length
0.000015    10292 list.index_of_lt_length
0.000016    10293 list.nth_le._main.equations._eqn_2
0.000015    10294 list.nth_le.equations._eqn_2
0.000016    10295 list.nth_le._main._proof_1
0.000015    10296 list.nth_le._main.equations._eqn_3
0.000016    10297 list.nth_le.equations._eqn_3
0.000015    10298 list.index_of_nth_le
0.000017    10299 list.index_of_nth
0.000015    10300 encodable.encodable_of_list._proof_1
0.000016    10301 encodable.encodable_of_list
0.000015    10302 encodable.trunc_encodable_of_fintype
0.000016    10303 set.finite.countable
0.000015    10304 finset.countable_to_set
0.000016    10305 measure_theory.measure_bUnion_finset
0.000015    10306 pairwise.pairwise_on
0.000016    10307 measure_theory.measure_mono
0.000015    10308 set.bUnion_subset_bUnion_right
0.000017    10309 set.disjointed_subset
0.000014    10310 option.to_finset._match_1
0.000017    10311 option.to_finset
0.000014    10312 option.to_finset.equations._eqn_1
0.000017    10313 option.to_finset._match_1.equations._eqn_1
0.000015    10314 option.to_finset._match_1.equations._eqn_2
0.000016    10315 option.mem_to_finset
0.000015    10316 finset.supr_option_to_finset
0.000016    10317 finset.set_bUnion_option_to_finset
0.000015    10318 infi_exists
0.000016    10319 supr_exists
0.000015    10320 finset.supr_bUnion
0.000016    10321 finset.set_bUnion_bUnion
0.000015    10322 set.Union.equations._eqn_1
0.000016    10323 supr_of_empty'
0.000017    10324 supr_of_empty
0.000015    10325 measure_theory.measure_empty
0.000016    10326 measure_theory.measure_Union_eq_supr
0.000015    10327 measure_theory.measure.restrict_Union_apply_eq_supr
0.000015    10328 subfield
0.000015    10329 subring
0.000015    10330 subring.carrier
0.000016    10331 submonoid
0.000016    10332 submonoid.carrier
0.000014    10333 set_like
0.000016    10334 set_like.coe
0.000016    10335 set_like.set.has_coe_t
0.000014    10336 submonoid.cases_on
0.000016    10337 submonoid.set_like._proof_1
0.000015    10338 submonoid.set_like
0.000016    10339 set_like.has_mem
0.000015    10340 submonoid.one_mem'
0.000015    10341 submonoid.one_mem
0.000016    10342 submonoid.comap._proof_1
0.000015    10343 submonoid.mul_mem'
0.000016    10344 submonoid.mul_mem
0.000015    10345 submonoid.comap._proof_2
0.000016    10346 submonoid.comap
0.237195    10347 ring_hom.to_monoid_hom
0.000076    10348 ring_hom.has_coe_monoid_hom
0.000024    10349 subsemiring
0.000014    10350 subsemiring.carrier
0.000015    10351 subsemiring.one_mem'
0.000014    10352 subsemiring.mul_mem'
0.000014    10353 subsemiring.to_submonoid
0.000014    10354 subring.one_mem'
0.000014    10355 subring.mul_mem'
0.000014    10356 subring.zero_mem'
0.000014    10357 subring.add_mem'
0.000014    10358 subring.to_subsemiring
0.000014    10359 subring.to_submonoid._proof_1
0.000014    10360 subring.to_submonoid._proof_2
0.000015    10361 subring.to_submonoid
0.000014    10362 subring.comap._proof_1
0.000017    10363 subring.comap._proof_2
0.000017    10364 add_subgroup
0.000018    10365 add_subgroup.carrier
0.000016    10366 add_subgroup.cases_on
0.000015    10367 add_subgroup.set_like._proof_1
0.000016    10368 add_subgroup.set_like
0.000017    10369 add_submonoid
0.000015    10370 add_submonoid.carrier
0.000016    10371 add_submonoid.cases_on
0.000017    10372 add_submonoid.set_like._proof_1
0.000015    10373 add_submonoid.set_like
0.000017    10374 add_submonoid.zero_mem'
0.000019    10375 add_submonoid.zero_mem
0.000015    10376 add_submonoid.comap._proof_1
0.000015    10377 add_submonoid.add_mem'
0.000014    10378 add_submonoid.add_mem
0.000016    10379 add_submonoid.comap._proof_2
0.000017    10380 add_submonoid.comap
0.000017    10381 add_subgroup.zero_mem'
0.000015    10382 add_subgroup.add_mem'
0.000014    10383 add_subgroup.to_add_submonoid
0.000016    10384 add_subgroup.comap._proof_1
0.000014    10385 add_subgroup.comap._proof_2
0.000015    10386 add_monoid_hom.map_neg
0.000016    10387 add_subgroup.neg_mem'
0.000015    10388 add_subgroup.neg_mem
0.000016    10389 add_subgroup.comap._proof_3
0.000015    10390 add_subgroup.comap
0.000016    10391 subring.neg_mem'
0.000023    10392 subring.to_add_subgroup
0.000017    10393 subring.comap._proof_3
0.000014    10394 subring.comap._proof_4
0.000015    10395 subring.comap._proof_5
0.000014    10396 subring.comap
0.000016    10397 subfield.carrier
0.000015    10398 subfield.one_mem'
0.000014    10399 subfield.mul_mem'
0.000017    10400 subfield.zero_mem'
0.000014    10401 subfield.add_mem'
0.000017    10402 subfield.neg_mem'
0.000015    10403 subfield.to_subring
0.000016    10404 subfield.comap._proof_1
0.000015    10405 subfield.comap._proof_2
0.000016    10406 subfield.comap._proof_3
0.000015    10407 subfield.comap._proof_4
0.000016    10408 subfield.comap._proof_5
0.000015    10409 subfield.cases_on
0.000015    10410 subfield.set_like._proof_1
0.000016    10411 subfield.set_like
0.000014    10412 subfield.inv_mem'
0.000017    10413 subfield.inv_mem
0.000014    10414 subfield.comap._proof_6
0.000017    10415 subfield.comap
0.000015    10416 subfield.comap.equations._eqn_1
0.000015    10417 submodule
0.000016    10418 set_like.coe_injective'
0.000014    10419 set_like.coe_injective
0.000017    10420 set_like.partial_order._proof_1
0.000015    10421 set_like.partial_order._proof_2
0.000015    10422 set_like.partial_order._proof_3
0.000016    10423 set_like.partial_order._proof_4
0.000015    10424 set_like.partial_order
0.000016    10425 submodule.carrier
0.000015    10426 submodule.cases_on
0.000017    10427 submodule.set_like._proof_1
0.000014    10428 submodule.set_like
0.000016    10429 submodule.order_bot._proof_2
0.000015    10430 stream
0.000017    10431 stream.is_seq
0.000014    10432 seq
0.000017    10433 generalized_continued_fraction.pair
0.000015    10434 generalized_continued_fraction
0.000014    10435 stream.nth
0.000016    10436 stream.map
0.000015    10437 generalized_continued_fraction.pair.b
0.000017    10438 stream.tail
0.000015    10439 generalized_continued_fraction.h
0.000014    10440 generalized_continued_fraction.next_numerator
0.000017    10441 generalized_continued_fraction.pair.a
0.000015    10442 generalized_continued_fraction.next_denominator
0.000014    10443 generalized_continued_fraction.next_continuants
0.000016    10444 generalized_continued_fraction.continuants_aux._match_1
0.000015    10445 seq.nth
0.000016    10446 generalized_continued_fraction.s
0.000015    10447 generalized_continued_fraction.continuants_aux._main
0.000016    10448 generalized_continued_fraction.continuants_aux
0.000015    10449 generalized_continued_fraction.continuants
0.000017    10450 generalized_continued_fraction.denominators
0.000015    10451 generalized_continued_fraction.denominators.equations._eqn_1
0.000016    10452 finset.card
0.000015    10453 is_primitive_root
0.000016    10454 add_monoid_algebra
0.000015    10455 polynomial
0.000016    10456 finsupp.sum
0.000015    10457 finset.filter_congr_decidable
0.000016    10458 finsupp.on_finset._proof_1
0.000016    10459 finsupp.on_finset
0.000015    10460 finsupp.mem_support_iff
0.000017    10461 finsupp.zip_with._proof_1
0.000017    10462 finsupp.zip_with
0.000015    10463 finsupp.has_add._proof_1
0.000016    10464 finsupp.has_add
0.000015    10465 finsupp.cases_on
0.000016    10466 finsupp.coe_fn_injective
0.000015    10467 finsupp.ext
0.000014    10468 finsupp.add_monoid._match_1
0.000016    10469 finsupp.add_monoid._match_2
0.000016    10470 finsupp.add_monoid._match_3
0.415830    10471 finsupp.add_monoid._proof_1
0.000078    10472 finsupp.has_zero._proof_1
0.000023    10473 finsupp.has_zero
0.000015    10474 finsupp.add_zero_class._match_1
0.000015    10475 finsupp.add_zero_class._proof_1
0.000014    10476 finsupp.add_zero_class._match_2
0.000015    10477 finsupp.add_zero_class._proof_2
0.000014    10478 finsupp.add_zero_class
0.000014    10479 finsupp.add_monoid._proof_2
0.000014    10480 finsupp.add_monoid._proof_3
0.000015    10481 not_imp_not
0.000014    10482 finsupp.map_range._proof_1
0.000014    10483 finsupp.map_range
0.000014    10484 nsmul_add'
0.000014    10485 succ_nsmul
0.000015    10486 nsmul_zero
0.000014    10487 finsupp.map_range_apply
0.000016    10488 add_monoid.to_smul_with_zero
0.000017    10489 finsupp.coe_zero
0.000018    10490 pi.zero_apply
0.000015    10491 finsupp.add_monoid._proof_4
0.000014    10492 finsupp.coe_add
0.000014    10493 finsupp.add_monoid._proof_5
0.000016    10494 finsupp.add_monoid
0.000019    10495 finsupp.add_comm_monoid._proof_1
0.000016    10496 finsupp.add_comm_monoid._proof_2
0.000018    10497 finsupp.add_comm_monoid._proof_3
0.000017    10498 finsupp.add_comm_monoid._proof_4
0.000019    10499 finsupp.add_comm_monoid._proof_5
0.000015    10500 finsupp.add_comm_monoid._match_1
0.000017    10501 finsupp.add_comm_monoid._match_2
0.000015    10502 finsupp.add_comm_monoid._proof_6
0.000016    10503 finsupp.add_comm_monoid
0.000015    10504 add_monoid_algebra.add_comm_monoid
0.000016    10505 finsupp.single._proof_1
0.000017    10506 finsupp.single
0.000015    10507 add_monoid_algebra.has_mul
0.000016    10508 add_monoid_algebra.mul_def
0.000016    10509 finsupp.add_apply
0.000014    10510 finsupp.not_mem_support_iff
0.000016    10511 finsupp.sum_of_support_subset
0.000015    10512 finsupp.support_on_finset_subset
0.000016    10513 finsupp.support_zip_with
0.000015    10514 finsupp.support_add
0.000015    10515 finsupp.sum_add_index
0.000016    10516 function.update
0.000015    10517 finsupp.single_apply
0.000016    10518 set.indicator.equations._eqn_1
0.000015    10519 finsupp.single_eq_indicator
0.000015    10520 set.piecewise_eq_indicator
0.000016    10521 function.update_same
0.000015    10522 function.update_noteq
0.000015    10523 set.piecewise_singleton
0.000016    10524 finsupp.single_eq_update
0.000015    10525 function.funext_iff
0.000015    10526 function.forall_update_iff
0.000016    10527 function.update_eq_iff
0.000015    10528 function.update_eq_self
0.000015    10529 finsupp.single_zero
0.000016    10530 finsupp.single_eq_same
0.000015    10531 finsupp.single_eq_of_ne
0.000015    10532 finsupp.single_add
0.000016    10533 finsupp.sum_add
0.000015    10534 add_monoid_algebra.distrib._proof_1
0.000014    10535 finsupp.sum_zero
0.000017    10536 add_monoid_algebra.distrib._proof_2
0.000015    10537 add_monoid_algebra.distrib
0.000014    10538 add_monoid_algebra.semiring._proof_1
0.000017    10539 finsupp.sum_zero_index
0.000015    10540 add_monoid_algebra.mul_zero_class._proof_1
0.000014    10541 add_monoid_algebra.mul_zero_class._proof_2
0.000017    10542 add_monoid_algebra.mul_zero_class
0.000015    10543 add_monoid_algebra.semiring._proof_2
0.000016    10544 add_monoid_algebra.semiring._proof_3
0.000015    10545 finsupp.has_scalar._proof_1
0.000014    10546 finsupp.has_scalar
0.000017    10547 add_monoid_algebra.has_scalar
0.000015    10548 add_comm_monoid.nat_semimodule._proof_1
0.000015    10549 pow_mul
0.000016    10550 pow_mul'
0.000015    10551 mul_nsmul
0.000015    10552 add_comm_monoid.nat_semimodule._proof_2
0.000016    10553 commute.right_comm
0.000015    10554 commute.mul_pow
0.000016    10555 commute.all
0.000015    10556 mul_pow
0.000015    10557 nsmul_add
0.000016    10558 add_comm_monoid.nat_semimodule._proof_3
0.000015    10559 add_comm_monoid.nat_semimodule._proof_4
0.000015    10560 add_comm_monoid.nat_semimodule._proof_5
0.000016    10561 add_comm_monoid.nat_semimodule._proof_6
0.000015    10562 add_comm_monoid.nat_semimodule
0.000016    10563 add_monoid_algebra.semiring._proof_4
0.000015    10564 finsupp.coe_smul
0.000014    10565 add_monoid_algebra.semiring._proof_5
0.000014    10566 add_monoid_algebra.semiring._proof_6
0.000014    10567 finsupp.sum_finset_sum_index
0.000015    10568 finsupp.sum_sum_index
0.000016    10569 finsupp.support_single_subset
0.000015    10570 finsupp.sum_single_index
0.000016    10571 add_monoid_algebra.semigroup._proof_1
0.000017    10572 add_monoid_algebra.semigroup
0.000015    10573 add_monoid_algebra.semiring._proof_7
0.000016    10574 add_monoid_algebra.has_one
0.000015    10575 add_monoid_algebra.one_def
0.000014    10576 add_equiv
0.000017    10577 add_monoid_hom.has_add._proof_1
0.000015    10578 add_monoid_hom.has_add._proof_2
0.000014    10579 add_monoid_hom.has_add
0.000017    10580 add_equiv.to_fun
0.000015    10581 add_equiv.has_coe_to_fun
0.000016    10582 finsupp.lift_add_hom._proof_1
0.000015    10583 finsupp.lift_add_hom._proof_2
0.000016    10584 finsupp.single_add_hom._proof_1
0.000015    10585 finsupp.single_add_hom._proof_2
0.000016    10586 finsupp.single_add_hom
0.223931    10587 add_monoid_hom.coe_comp
0.000084    10588 add_monoid_hom.coe_mk
0.000023    10589 finsupp.single_add_hom_apply
0.000015    10590 finsupp.lift_add_hom._proof_3
0.000014    10591 add_submonoid.has_Inf._proof_1
0.000014    10592 add_submonoid.has_Inf._proof_2
0.000014    10593 add_submonoid.has_Inf
0.000014    10594 add_submonoid.closure
0.000014    10595 add_submonoid.has_top._proof_1
0.000014    10596 add_submonoid.has_top._proof_2
0.000014    10597 add_submonoid.has_top
0.000014    10598 add_monoid_hom.eq_of_eq_on_mtop
0.000014    10599 add_monoid_hom.eq_mlocus._proof_1
0.000014    10600 add_monoid_hom.eq_mlocus._proof_2
0.000019    10601 add_monoid_hom.eq_mlocus
0.000017    10602 add_submonoid.mem_Inf
0.000017    10603 add_submonoid.mem_closure
0.000017    10604 add_submonoid.subset_closure
0.000017    10605 complete_lattice_of_Inf._proof_1
0.000017    10606 complete_lattice_of_Inf._proof_2
0.000017    10607 complete_lattice_of_Inf._proof_3
0.000017    10608 set.mem_insert
0.000016    10609 complete_lattice_of_Inf._proof_4
0.000015    10610 set.mem_insert_of_mem
0.000015    10611 complete_lattice_of_Inf._proof_5
0.000016    10612 upper_bounds_union
0.000016    10613 lower_bounds_union
0.000014    10614 is_glb.lower_bounds_eq
0.000016    10615 lower_bounds_singleton
0.000015    10616 lower_bounds_insert
0.000015    10617 complete_lattice_of_Inf._proof_6
0.000016    10618 complete_lattice_of_Inf._proof_7
0.000015    10619 complete_lattice_of_Inf._proof_8
0.000014    10620 complete_lattice_of_Inf._proof_9
0.000016    10621 complete_lattice_of_Inf._proof_10
0.000016    10622 complete_lattice_of_Inf._proof_11
0.000014    10623 complete_lattice_of_Inf._proof_12
0.000016    10624 complete_lattice_of_Inf
0.000015    10625 is_glb.of_image
0.000014    10626 set_like.coe_subset_coe
0.000017    10627 is_glb_infi
0.000015    10628 is_glb_binfi
0.000014    10629 add_submonoid.complete_lattice._proof_1
0.000017    10630 add_submonoid.complete_lattice._proof_2
0.000015    10631 add_submonoid.complete_lattice._proof_3
0.000014    10632 add_submonoid.complete_lattice._proof_4
0.000016    10633 add_submonoid.complete_lattice._proof_5
0.000016    10634 add_submonoid.complete_lattice._proof_6
0.000014    10635 add_submonoid.complete_lattice._proof_7
0.000016    10636 add_submonoid.complete_lattice._proof_8
0.000015    10637 add_submonoid.has_inf._proof_1
0.000015    10638 add_submonoid.has_inf._match_1
0.000016    10639 add_submonoid.has_inf._match_2
0.000015    10640 add_submonoid.has_inf._proof_2
0.000015    10641 add_submonoid.has_inf
0.000016    10642 add_submonoid.complete_lattice._proof_9
0.000015    10643 add_submonoid.complete_lattice._proof_10
0.000016    10644 add_submonoid.complete_lattice._proof_11
0.000016    10645 add_submonoid.mem_top
0.000014    10646 add_submonoid.complete_lattice._proof_12
0.000016    10647 add_submonoid.has_bot._proof_1
0.000016    10648 add_submonoid.has_bot._proof_2
0.000014    10649 add_submonoid.has_bot
0.000017    10650 add_submonoid.mem_bot
0.000015    10651 add_submonoid.complete_lattice._proof_13
0.000014    10652 add_submonoid.complete_lattice._proof_14
0.000014    10653 add_submonoid.complete_lattice._proof_15
0.000014    10654 add_submonoid.complete_lattice._proof_16
0.000017    10655 add_submonoid.complete_lattice._proof_17
0.000015    10656 add_submonoid.complete_lattice
0.000016    10657 add_submonoid.closure_le
0.000015    10658 add_monoid_hom.eq_on_mclosure
0.000016    10659 add_monoid_hom.eq_of_eq_on_mdense
0.000027    10660 finsupp.fun_support_eq
0.000015    10661 finset.coe_empty
0.000014    10662 finset.coe_eq_empty
0.000014    10663 finsupp.coe_fn_inj
0.000015    10664 finsupp.coe_eq_zero
0.000014    10665 function.support_eq_empty_iff
0.000014    10666 finsupp.support_eq_empty
0.000017    10667 finsupp.erase._proof_1
0.000015    10668 finsupp.erase
0.000014    10669 finsupp.erase_same
0.000016    10670 finsupp.erase_ne
0.000015    10671 finsupp.single_add_erase
0.000016    10672 finsupp.support_erase
0.000016    10673 finsupp.induction
0.000014    10674 finsupp.add_closure_Union_range_single
0.000016    10675 finsupp.add_hom_ext
0.000015    10676 finsupp.add_hom_ext'
0.000014    10677 finsupp.lift_add_hom._proof_4
0.000016    10678 add_monoid_hom.add_apply
0.000015    10679 finsupp.lift_add_hom._proof_5
0.000017    10680 finsupp.lift_add_hom
0.000015    10681 add_monoid_hom.id._proof_1
0.000014    10682 add_monoid_hom.id._proof_2
0.000016    10683 add_monoid_hom.id
0.000015    10684 add_equiv.inv_fun
0.000015    10685 add_equiv.left_inv
0.000016    10686 add_equiv.right_inv
0.000014    10687 add_equiv.to_equiv
0.000016    10688 equiv.apply_eq_iff_eq_symm_apply
0.000015    10689 finsupp.lift_add_hom_single_add_hom
0.000016    10690 finsupp.sum_single
0.000015    10691 add_monoid_algebra.mul_one_class._proof_1
0.000016    10692 add_monoid_algebra.mul_one_class._proof_2
0.000015    10693 add_monoid_algebra.mul_one_class
0.000017    10694 add_monoid_algebra.semiring._proof_8
0.000017    10695 add_monoid_algebra.semiring._proof_9
0.167688    10696 add_monoid_algebra.semiring._proof_10
0.000080    10697 add_monoid_algebra.semiring._proof_11
0.000023    10698 add_monoid_algebra.semiring._proof_12
0.000015    10699 add_monoid_algebra.semiring._proof_13
0.000014    10700 add_monoid_algebra.semiring._proof_14
0.000014    10701 add_monoid_algebra.semiring._proof_15
0.000014    10702 add_monoid_algebra.semiring._proof_16
0.000014    10703 add_monoid_algebra.semiring._proof_17
0.000013    10704 add_monoid_algebra.semiring
0.000014    10705 polynomial.semiring
0.000014    10706 finsupp.ext_iff'
0.000014    10707 finsupp.finsupp.decidable_eq._proof_1
0.000014    10708 multiset.decidable_dforall_multiset._proof_1
0.000014    10709 multiset.decidable_forall_multiset._proof_1
0.000014    10710 multiset.decidable_forall_multiset._proof_2
0.000014    10711 multiset.decidable_forall_multiset
0.000014    10712 multiset.decidable_dforall_multiset._proof_2
0.000018    10713 multiset.decidable_dforall_multiset._match_1
0.000017    10714 multiset.decidable_dforall_multiset._proof_3
0.000017    10715 multiset.decidable_dforall_multiset
0.000018    10716 finset.decidable_dforall_finset
0.000016    10717 finsupp.finsupp.decidable_eq
0.000017    10718 multiset.has_emptyc
0.000018    10719 with_bot.has_bot
0.000017    10720 with_bot.partial_order._proof_1
0.000016    10721 with_bot.partial_order._proof_2
0.000016    10722 with_bot.partial_order._proof_3
0.000014    10723 with_bot.partial_order._proof_4
0.000016    10724 with_bot.partial_order
0.000015    10725 with_bot.order_bot._proof_1
0.000014    10726 with_bot.order_bot._proof_2
0.000017    10727 with_bot.order_bot._proof_3
0.000015    10728 with_bot.order_bot._proof_4
0.000014    10729 with_bot.order_bot._proof_5
0.000017    10730 with_bot.order_bot
0.000015    10731 with_bot.semilattice_sup._proof_1
0.000014    10732 with_bot.semilattice_sup._proof_2
0.000017    10733 with_bot.semilattice_sup._proof_3
0.000015    10734 with_bot.semilattice_sup._proof_4
0.000016    10735 with_bot.semilattice_sup._proof_5
0.000015    10736 with_bot.semilattice_sup._proof_6
0.000015    10737 with_bot.semilattice_sup._proof_7
0.000014    10738 with_bot.semilattice_sup._proof_8
0.000014    10739 with_bot.semilattice_sup
0.000014    10740 polynomial.support
0.000017    10741 polynomial.degree
0.000015    10742 add_monoid_algebra.ring._proof_1
0.000016    10743 add_monoid_algebra.ring._proof_2
0.000015    10744 add_monoid_algebra.ring._proof_3
0.000017    10745 add_monoid_algebra.ring._proof_4
0.000014    10746 add_monoid_algebra.ring._proof_5
0.000017    10747 finsupp.add_group._proof_1
0.000015    10748 finsupp.add_group._proof_2
0.000014    10749 finsupp.add_group._proof_3
0.000017    10750 finsupp.add_group._proof_4
0.000015    10751 finsupp.add_group._proof_5
0.000015    10752 finsupp.has_sub._proof_1
0.000016    10753 finsupp.has_sub
0.000015    10754 finsupp.add_group._proof_6
0.000014    10755 finsupp.add_group._match_1
0.000016    10756 finsupp.add_group._proof_7
0.000015    10757 finsupp.add_group
0.000016    10758 add_monoid_algebra.add_group
0.000015    10759 add_monoid_algebra.ring._proof_6
0.000016    10760 add_monoid_algebra.ring._proof_7
0.000015    10761 add_monoid_algebra.ring._proof_8
0.000015    10762 add_monoid_algebra.ring._proof_9
0.000016    10763 add_monoid_algebra.ring._proof_10
0.000015    10764 add_monoid_algebra.ring._proof_11
0.000015    10765 add_monoid_algebra.ring._proof_12
0.000016    10766 add_monoid_algebra.ring._proof_13
0.000015    10767 add_monoid_algebra.ring._proof_14
0.000016    10768 add_monoid_algebra.ring._proof_15
0.000015    10769 add_monoid_algebra.ring
0.000016    10770 polynomial.ring
0.000015    10771 finsupp.semimodule._proof_1
0.000016    10772 finsupp.semimodule._proof_2
0.000015    10773 finsupp.semimodule._proof_3
0.000014    10774 finsupp.semimodule._proof_4
0.000016    10775 finsupp.semimodule._proof_5
0.000015    10776 finsupp.semimodule._proof_6
0.000016    10777 finsupp.semimodule
0.000015    10778 add_monoid_algebra.semimodule
0.000016    10779 polynomial.semimodule
0.000016    10780 finsupp.lsingle._proof_1
0.000014    10781 finsupp.map_range_single
0.000016    10782 finsupp.smul_single
0.000015    10783 finsupp.lsingle._proof_2
0.000016    10784 finsupp.lsingle
0.000015    10785 polynomial.monomial
0.000014    10786 polynomial.X
0.000016    10787 add_monoid_algebra.single_zero_ring_hom._proof_1
0.000015    10788 finsupp.single_add_hom.equations._eqn_1
0.000016    10789 monoid_algebra
0.000016    10790 monoid_algebra.add_comm_monoid
0.000014    10791 monoid_algebra.has_mul
0.000016    10792 monoid_algebra.single_mul_single
0.000016    10793 add_monoid_algebra.single_mul_single
0.000014    10794 add_monoid_algebra.single_zero_ring_hom._proof_2
0.000016    10795 add_monoid_algebra.single_zero_ring_hom._proof_3
0.000015    10796 add_monoid_algebra.single_zero_ring_hom._proof_4
0.000015    10797 add_monoid_algebra.single_zero_ring_hom
0.000016    10798 polynomial.C
0.000015    10799 polynomial.coeff
0.342032    10800 option.get_or_else._main
0.000128    10801 option.get_or_else
0.000031    10802 polynomial.nat_degree
0.000027    10803 polynomial.leading_coeff
0.000018    10804 polynomial.monic
0.000015    10805 polynomial.monic.equations._eqn_1
0.000014    10806 polynomial.monic.decidable._proof_1
0.000014    10807 polynomial.monic.decidable
0.000014    10808 option.rec_on
0.000014    10809 with_bot.well_founded_lt
0.000014    10810 polynomial.degree_lt_wf
0.000014    10811 polynomial.has_well_founded
0.000015    10812 with_bot.linear_order._proof_1
0.000014    10813 with_bot.linear_order._proof_2
0.000014    10814 with_bot.linear_order._proof_3
0.000014    10815 with_bot.linear_order._proof_4
0.000018    10816 with_bot.linear_order._proof_5
0.000017    10817 with_bot.linear_order._proof_6
0.000017    10818 with_bot.linear_order._proof_7
0.000017    10819 with_bot.linear_order._proof_8
0.000018    10820 with_bot.linear_order._proof_9
0.000018    10821 with_bot.linear_order
0.000015    10822 le_bot_iff
0.000017    10823 polynomial.support.equations._eqn_1
0.000016    10824 polynomial.support_eq_empty
0.000017    10825 option.lift_or_get._main.equations._eqn_1
0.000015    10826 option.lift_or_get.equations._eqn_1
0.000014    10827 option.lift_or_get_comm
0.000015    10828 finset.max._proof_1
0.000014    10829 option.lift_or_get_assoc
0.000014    10830 finset.max._proof_2
0.000017    10831 finset.max
0.000017    10832 finset.nonempty
0.000017    10833 multiset.exists_mem_of_ne_zero
0.000015    10834 finset.val_eq_zero
0.000014    10835 finset.nonempty_of_ne_empty
0.000016    10836 finset.eq_empty_or_nonempty
0.000015    10837 finset.max_of_mem
0.000017    10838 finset.max_of_nonempty
0.000015    10839 finset.max_empty
0.000015    10840 finset.max_eq_none
0.000016    10841 finset.max_eq_sup_with_bot
0.000015    10842 polynomial.degree.equations._eqn_1
0.000016    10843 polynomial.degree_eq_bot
0.000015    10844 finsupp.support_map_range
0.000015    10845 finsupp.support_neg
0.000016    10846 polynomial.support_neg
0.000015    10847 polynomial.degree_neg
0.000015    10848 finset.sup_mono
0.000016    10849 polynomial.support_add
0.000015    10850 finset.empty_union
0.000015    10851 finset.fold_empty
0.000016    10852 finset.sup_empty
0.000015    10853 finset.insert_eq
0.000014    10854 finset.union_assoc
0.000017    10855 finset.insert_union
0.000015    10856 sup_is_idempotent
0.000014    10857 finset.sup_insert
0.000017    10858 finset.sup_union
0.000015    10859 sup_eq_max
0.000014    10860 with_bot.lattice._proof_1
0.000016    10861 with_bot.lattice._proof_2
0.000015    10862 with_bot.lattice._proof_3
0.000017    10863 with_bot.lattice._proof_4
0.000015    10864 with_bot.lattice._proof_5
0.000014    10865 with_bot.lattice._proof_6
0.000016    10866 with_bot.lattice._proof_7
0.000015    10867 with_bot.semilattice_inf._proof_1
0.000015    10868 with_bot.semilattice_inf._proof_2
0.000016    10869 with_bot.semilattice_inf._proof_3
0.000015    10870 with_bot.semilattice_inf._proof_4
0.000015    10871 with_bot.semilattice_inf._proof_5
0.000016    10872 with_bot.semilattice_inf._proof_6
0.000015    10873 with_bot.semilattice_inf._proof_7
0.000014    10874 with_bot.semilattice_inf._proof_8
0.000017    10875 with_bot.semilattice_inf
0.000015    10876 with_bot.lattice._proof_8
0.000014    10877 with_bot.lattice._proof_9
0.000016    10878 with_bot.lattice._proof_10
0.000015    10879 with_bot.lattice
0.000015    10880 lattice.cases_on
0.000016    10881 semilattice_sup.cases_on
0.000015    10882 semilattice_sup.no_confusion_type
0.000015    10883 semilattice_sup.no_confusion
0.000016    10884 semilattice_sup.mk.inj
0.000016    10885 semilattice_sup.mk.inj_arrow
0.000014    10886 semilattice_inf.cases_on
0.000016    10887 semilattice_inf.no_confusion_type
0.000015    10888 semilattice_inf.no_confusion
0.000015    10889 semilattice_inf.mk.inj
0.000016    10890 semilattice_inf.mk.inj_arrow
0.000016    10891 partial_order.cases_on
0.000014    10892 partial_order.no_confusion_type
0.000016    10893 partial_order.no_confusion
0.000016    10894 partial_order.mk.inj
0.000014    10895 partial_order.mk.inj_arrow
0.000017    10896 preorder.cases_on
0.000015    10897 preorder.no_confusion_type
0.000014    10898 preorder.no_confusion
0.000016    10899 preorder.mk.inj
0.000016    10900 preorder.mk.inj_arrow
0.000014    10901 partial_order.to_preorder_injective
0.000017    10902 has_le.cases_on
0.000015    10903 has_le.no_confusion_type
0.000014    10904 has_le.no_confusion
0.000016    10905 has_le.mk.inj
0.000016    10906 has_le.mk.inj_arrow
0.000016    10907 preorder.to_has_le_injective
0.000015    10908 has_le.ext
0.000016    10909 partial_order.ext
0.000016    10910 eq_of_forall_ge_iff
0.000014    10911 semilattice_sup.ext_sup
0.000016    10912 semilattice_sup.ext
0.000016    10913 eq_of_forall_le_iff
0.000014    10914 semilattice_inf.ext_inf
0.000016    10915 semilattice_inf.ext
0.000016    10916 lattice.ext
0.000014    10917 with_bot.lattice_eq_DLO
0.000016    10918 with_bot.sup_eq_max
0.000016    10919 polynomial.degree_add_le
0.000014    10920 polynomial.degree_erase_le
0.000017    10921 polynomial.nat_degree.equations._eqn_1
0.285434    10922 option.eq_none_iff_forall_not_mem
0.000074    10923 polynomial.degree_eq_nat_degree
0.000024    10924 multiset.mem_erase_of_nodup
0.000015    10925 finset.not_mem_erase
0.000014    10926 option.lift_or_get_choice
0.000014    10927 eq_min
0.000015    10928 min_eq_left
0.000014    10929 min_comm
0.000014    10930 min_eq_right
0.000014    10931 min_choice
0.000014    10932 max_choice
0.000014    10933 option.lift_or_get_idem
0.000014    10934 max_idem
0.000014    10935 finset.max_insert
0.000017    10936 finset.mem_of_max
0.000018    10937 polynomial.degree_erase_lt
0.000017    10938 polynomial.degree_sub_lt
0.000016    10939 with_bot.add_monoid
0.000017    10940 polynomial.degree_zero
0.000016    10941 with_bot.bot_add
0.000014    10942 polynomial.X.equations._eqn_1
0.000016    10943 polynomial.monomial_mul_monomial
0.000018    10944 polynomial.single_eq_C_mul_X
0.000016    10945 polynomial.degree_sum_le
0.000017    10946 finset.sup_mono_fun
0.000017    10947 polynomial.ext
0.000017    10948 finsupp.smul_single'
0.000016    10949 polynomial.X_pow_eq_monomial
0.000017    10950 polynomial.monomial_eq_smul_X
0.000015    10951 finsupp.smul_apply
0.000015    10952 polynomial.coeff_smul
0.000016    10953 add_monoid_algebra.has_coe_to_fun
0.000014    10954 monoid_algebra.has_coe_to_fun
0.000017    10955 monoid_algebra.mul_def
0.000014    10956 finsupp.zero_apply
0.000016    10957 finsupp.apply_add_hom._proof_1
0.000015    10958 finsupp.apply_add_hom._proof_2
0.000293    10959 finsupp.apply_add_hom
0.000020    10960 finsupp.sum_apply
0.000018    10961 monoid_algebra.mul_apply
0.000014    10962 finset.sum_eq_single_of_mem
0.000014    10963 finset.sum_eq_single
0.000014    10964 not_eq_of_eq_false
0.000014    10965 finset.sum_eq_zero
0.000014    10966 finset.sum_dite_eq'
0.000015    10967 finset.sum_ite_eq'
0.000014    10968 monoid_algebra.single_mul_apply_aux
0.000014    10969 add_monoid_algebra.single_mul_apply_aux
0.000019    10970 add_monoid_algebra.single_zero_mul_apply
0.000017    10971 polynomial.coeff_C_mul
0.000017    10972 polynomial.C_mul_X_pow_eq_monomial
0.000017    10973 distrib_mul_action_hom
0.000015    10974 distrib_mul_action_hom.to_fun
0.000016    10975 distrib_mul_action_hom.has_coe_to_fun
0.000017    10976 distrib_mul_action_hom.map_zero'
0.000015    10977 distrib_mul_action_hom.map_zero
0.000016    10978 linear_map.to_distrib_mul_action_hom._proof_1
0.000017    10979 linear_map.to_distrib_mul_action_hom
0.000017    10980 linear_map.map_zero
0.000017    10981 finsupp.support_single_ne_zero
0.000014    10982 polynomial.support_monomial
0.000017    10983 polynomial.degree_monomial
0.000016    10984 polynomial.degree_monomial_le
0.000017    10985 polynomial.degree_C_mul_X_pow_le
0.000019    10986 with_top.add_semigroup._proof_1
0.000017    10987 with_top.add_semigroup
0.000017    10988 with_bot.add_semigroup
0.000015    10989 with_bot.coe_add
0.000016    10990 with_bot.add_comm_monoid
0.000015    10991 with_bot.ordered_add_comm_monoid._proof_1
0.000016    10992 with_bot.ordered_add_comm_monoid._proof_2
0.000015    10993 with_bot.ordered_add_comm_monoid._proof_3
0.000016    10994 with_bot.ordered_add_comm_monoid._proof_4
0.000015    10995 with_bot.ordered_add_comm_monoid._proof_5
0.000016    10996 with_bot.ordered_add_comm_monoid._proof_6
0.000015    10997 with_bot.ordered_add_comm_monoid._proof_7
0.000016    10998 with_bot.ordered_add_comm_monoid._proof_8
0.000015    10999 with_bot.ordered_add_comm_monoid._proof_9
0.000017    11000 with_bot.ordered_add_comm_monoid._proof_10
0.000014    11001 with_bot.ordered_add_comm_monoid._proof_11
0.000017    11002 with_bot.ordered_add_comm_monoid._proof_12
0.000018    11003 with_bot.ordered_add_comm_monoid
0.000015    11004 polynomial.le_degree_of_ne_zero
0.000016    11005 polynomial.coeff.equations._eqn_1
0.000015    11006 polynomial.mem_support_iff
0.000017    11007 polynomial.degree_mul_le
0.000015    11008 list.nat.antidiagonal
0.000017    11009 multiset.nat.antidiagonal
0.000015    11010 list.nat.nodup_antidiagonal
0.000016    11011 multiset.nat.nodup_antidiagonal
0.000015    11012 finset.nat.antidiagonal
0.000015    11013 multiset.product
0.000014    11014 list.product
0.000014    11015 multiset.product.equations._eqn_1
0.000014    11016 list.product.equations._eqn_1
0.000014    11017 multiset.coe_product
0.000016    11018 list.nodup_product
0.000015    11019 multiset.nodup_product
0.000016    11020 finset.product._proof_1
0.000015    11021 finset.product
0.000016    11022 prod.decidable_eq._match_2
0.000014    11023 prod.decidable_eq._match_1
0.000016    11024 prod.decidable_eq._main
0.000016    11025 prod.decidable_eq
0.000014    11026 multiset.mem_product
0.000016    11027 finset.mem_product
0.000016    11028 finset.product_eq_bUnion
0.000014    11029 finset.sum_product
0.000016    11030 finset.sum_filter
0.000015    11031 monoid_algebra.mul_apply_antidiagonal
0.000016    11032 add_monoid_algebra.mul_apply_antidiagonal
0.000015    11033 finset.nat.antidiagonal.equations._eqn_1
0.000014    11034 multiset.nat.antidiagonal.equations._eqn_1
0.278726    11035 list.nat.antidiagonal.equations._eqn_1
0.000079    11036 list.nat.mem_antidiagonal
0.000023    11037 multiset.nat.mem_antidiagonal
0.000015    11038 finset.nat.mem_antidiagonal
0.000014    11039 polynomial.coeff_mul
0.000014    11040 polynomial.coeff_eq_zero_of_degree_lt
0.000015    11041 nat.conditionally_complete_linear_order_bot._proof_1
0.000014    11042 nat.conditionally_complete_linear_order_bot._proof_2
0.000014    11043 nat.conditionally_complete_linear_order_bot._proof_3
0.000014    11044 nat.conditionally_complete_linear_order_bot._proof_4
0.000014    11045 nat.conditionally_complete_linear_order_bot._proof_5
0.000014    11046 nat.conditionally_complete_linear_order_bot._proof_6
0.000014    11047 nat.conditionally_complete_linear_order_bot._proof_7
0.000014    11048 nat.conditionally_complete_linear_order_bot._proof_8
0.000014    11049 nat.conditionally_complete_linear_order_bot._proof_9
0.000014    11050 nat.conditionally_complete_linear_order_bot._proof_10
0.000014    11051 nat.has_Sup
0.000014    11052 nat.has_Inf
0.000014    11053 nat.Sup_def
0.000019    11054 nat.conditionally_complete_linear_order_bot._proof_11
0.000015    11055 nat.conditionally_complete_linear_order_bot._proof_12
0.000014    11056 nat.Inf_def
0.000016    11057 nat.conditionally_complete_linear_order_bot._proof_13
0.000015    11058 nat.conditionally_complete_linear_order_bot._proof_14
0.000017    11059 nat.conditionally_complete_linear_order_bot._proof_15
0.000017    11060 nat.conditionally_complete_linear_order_bot._proof_16
0.000019    11061 nat.conditionally_complete_linear_order_bot._proof_17
0.000017    11062 nat.conditionally_complete_linear_order_bot
0.000017    11063 with_bot.none_eq_bot
0.000015    11064 with_bot.get_or_else_bot
0.000015    11065 with_bot.some_eq_coe
0.000014    11066 option.get_or_else_coe
0.000014    11067 with_bot.get_or_else_bot_le_iff
0.000014    11068 with_bot.gi_get_or_else_bot._proof_1
0.000016    11069 with_bot.gi_get_or_else_bot._proof_2
0.000018    11070 with_bot.gi_get_or_else_bot._proof_3
0.000017    11071 with_bot.gi_get_or_else_bot
0.000015    11072 polynomial.degree_le_nat_degree
0.000014    11073 with_bot.coe_lt_coe
0.000014    11074 not_lt_iff_eq_or_lt
0.000014    11075 add_left_cancel_iff
0.000015    11076 polynomial.coeff_mul_degree_add_degree
0.000014    11077 polynomial.leading_coeff_zero
0.000014    11078 polynomial.degree_mul'
0.000016    11079 polynomial.monic.leading_coeff
0.000017    11080 by_contradiction
0.000015    11081 polynomial.leading_coeff_eq_zero
0.000016    11082 polynomial.degree_mul_monic
0.000017    11083 polynomial.degree_C_mul_X_pow
0.000017    11084 polynomial.leading_coeff.equations._eqn_1
0.000018    11085 polynomial.nat_degree_eq_of_degree_eq_some
0.000015    11086 polynomial.nat_degree_mul'
0.000017    11087 polynomial.leading_coeff_mul'
0.000015    11088 polynomial.leading_coeff_mul_monic
0.000017    11089 polynomial.C_1
0.000015    11090 polynomial.nat_degree_C_mul_X_pow
0.000017    11091 polynomial.nat_degree_monomial
0.000017    11092 polynomial.leading_coeff_monomial
0.000017    11093 polynomial.leading_coeff_C_mul_X_pow
0.000015    11094 polynomial.leading_coeff_X_pow
0.000014    11095 polynomial.monic_X_pow
0.000015    11096 polynomial.leading_coeff_mul_X_pow
0.000016    11097 polynomial.leading_coeff_C
0.000019    11098 polynomial.monic.ne_zero
0.000017    11099 polynomial.C_0
0.000015    11100 polynomial.nontrivial.of_polynomial_ne
0.000016    11101 polynomial.monic.ne_zero_of_polynomial_ne
0.000017    11102 polynomial.div_wf_lemma
0.000015    11103 polynomial.div_mod_by_monic_aux._main._pack
0.000017    11104 polynomial.div_mod_by_monic_aux._main
0.000017    11105 polynomial.div_mod_by_monic_aux
0.000015    11106 polynomial.mod_by_monic
0.000014    11107 polynomial.div_by_monic
0.000016    11108 eq_add_neg_iff_add_eq
0.000015    11109 eq_sub_iff_add_eq
0.000017    11110 polynomial.mod_by_monic.equations._eqn_1
0.000015    11111 polynomial.div_mod_by_monic_aux._main._pack.equations._eqn_1
0.000014    11112 polynomial.div_mod_by_monic_aux._main.equations._eqn_1
0.000017    11113 polynomial.div_mod_by_monic_aux.equations._eqn_1
0.000015    11114 polynomial.div_by_monic.equations._eqn_1
0.000014    11115 sub_add_eq_sub_sub
0.000016    11116 add_monoid_algebra.comm_ring._proof_1
0.000015    11117 add_monoid_algebra.comm_ring._proof_2
0.000016    11118 add_monoid_algebra.comm_ring._proof_3
0.000015    11119 add_monoid_algebra.comm_ring._proof_4
0.000016    11120 add_monoid_algebra.comm_ring._proof_5
0.000015    11121 add_monoid_algebra.comm_ring._proof_6
0.000016    11122 add_monoid_algebra.comm_ring._proof_7
0.000015    11123 add_monoid_algebra.comm_ring._proof_8
0.000016    11124 add_monoid_algebra.comm_ring._proof_9
0.000015    11125 add_monoid_algebra.comm_ring._proof_10
0.000016    11126 add_monoid_algebra.comm_ring._proof_11
0.000016    11127 add_monoid_algebra.comm_ring._proof_12
0.257759    11128 add_monoid_algebra.comm_ring._proof_13
0.000077    11129 add_monoid_algebra.comm_ring._proof_14
0.000023    11130 add_monoid_algebra.comm_ring._proof_15
0.000015    11131 add_monoid_algebra.comm_semiring._proof_1
0.000014    11132 add_monoid_algebra.comm_semiring._proof_2
0.000014    11133 add_monoid_algebra.comm_semiring._proof_3
0.000015    11134 add_monoid_algebra.comm_semiring._proof_4
0.000015    11135 add_monoid_algebra.comm_semiring._proof_5
0.000014    11136 add_monoid_algebra.comm_semiring._proof_6
0.000014    11137 add_monoid_algebra.comm_semiring._proof_7
0.000014    11138 add_monoid_algebra.comm_semiring._proof_8
0.000015    11139 add_monoid_algebra.comm_semiring._proof_9
0.000014    11140 add_monoid_algebra.comm_semiring._proof_10
0.000014    11141 add_monoid_algebra.comm_semiring._proof_11
0.000014    11142 add_monoid_algebra.comm_semiring._proof_12
0.000019    11143 add_monoid_algebra.comm_semiring._proof_13
0.000018    11144 add_monoid_algebra.comm_semiring._proof_14
0.000017    11145 add_monoid_algebra.comm_semiring._proof_15
0.000017    11146 monoid_algebra.distrib._proof_1
0.000017    11147 monoid_algebra.distrib._proof_2
0.000017    11148 monoid_algebra.distrib
0.000015    11149 monoid_algebra.semiring._proof_1
0.000016    11150 monoid_algebra.mul_zero_class._proof_1
0.000017    11151 monoid_algebra.mul_zero_class._proof_2
0.000015    11152 monoid_algebra.mul_zero_class
0.000016    11153 monoid_algebra.semiring._proof_2
0.000017    11154 monoid_algebra.semiring._proof_3
0.000015    11155 monoid_algebra.semiring._proof_4
0.000015    11156 monoid_algebra.semiring._proof_5
0.000016    11157 monoid_algebra.semiring._proof_6
0.000018    11158 monoid_algebra.semigroup._proof_1
0.000014    11159 monoid_algebra.semigroup
0.000026    11160 monoid_algebra.semiring._proof_7
0.000017    11161 monoid_algebra.has_one
0.000014    11162 monoid_algebra.one_def
0.000014    11163 monoid_algebra.mul_one_class._proof_1
0.000015    11164 monoid_algebra.mul_one_class._proof_2
0.000014    11165 monoid_algebra.mul_one_class
0.000017    11166 monoid_algebra.semiring._proof_8
0.000015    11167 monoid_algebra.semiring._proof_9
0.000014    11168 monoid_algebra.semiring._proof_10
0.000017    11169 monoid_algebra.semiring._proof_11
0.000014    11170 monoid_algebra.semiring._proof_12
0.000015    11171 monoid_algebra.semiring._proof_13
0.000014    11172 monoid_algebra.semiring._proof_14
0.000014    11173 monoid_algebra.semiring._proof_15
0.000016    11174 monoid_algebra.semiring._proof_16
0.000015    11175 monoid_algebra.semiring._proof_17
0.000016    11176 monoid_algebra.semiring
0.000015    11177 monoid_algebra.comm_semiring._proof_1
0.000017    11178 monoid_algebra.comm_semiring._proof_2
0.000014    11179 monoid_algebra.comm_semiring._proof_3
0.000016    11180 monoid_algebra.comm_semiring._proof_4
0.000018    11181 monoid_algebra.comm_semiring._proof_5
0.000015    11182 monoid_algebra.comm_semiring._proof_6
0.000014    11183 monoid_algebra.comm_semiring._proof_7
0.000016    11184 monoid_algebra.comm_semiring._proof_8
0.000015    11185 monoid_algebra.comm_semiring._proof_9
0.000014    11186 monoid_algebra.comm_semiring._proof_10
0.000016    11187 monoid_algebra.comm_semiring._proof_11
0.000015    11188 monoid_algebra.comm_semiring._proof_12
0.000016    11189 monoid_algebra.comm_semiring._proof_13
0.000015    11190 monoid_algebra.comm_semiring._proof_14
0.000016    11191 monoid_algebra.comm_semiring._proof_15
0.000015    11192 finsupp.sum.equations._eqn_1
0.000017    11193 finset.sum_comm
0.000015    11194 monoid_algebra.comm_semiring._proof_16
0.000016    11195 monoid_algebra.comm_semiring
0.000015    11196 add_monoid_algebra.comm_semiring._proof_16
0.000016    11197 add_monoid_algebra.comm_semiring
0.000017    11198 add_monoid_algebra.comm_ring._proof_16
0.000015    11199 add_monoid_algebra.comm_ring
0.000016    11200 polynomial.comm_ring
0.000015    11201 polynomial.mod_by_monic_eq_sub_mul_div
0.000016    11202 polynomial.mod_by_monic_add_div
0.000015    11203 polynomial.monic.def
0.000016    11204 polynomial.subsingleton_of_monic_zero
0.000015    11205 polynomial.degree_mod_by_monic_lt
0.000016    11206 exists_eq_mul_right_of_dvd
0.000015    11207 polynomial.dvd_iff_mod_by_monic_eq_zero
0.000016    11208 polynomial.decidable_dvd_monic
0.000015    11209 polynomial.monic_one
0.000016    11210 eq_zero_of_zero_eq_one
0.000015    11211 unique_of_zero_eq_one
0.000016    11212 subsingleton_iff_zero_eq_one
0.000015    11213 subsingleton_of_zero_eq_one
0.000016    11214 polynomial.monic_mul
0.000015    11215 polynomial.monic_pow
0.000016    11216 ring_hom.map_neg
0.000015    11217 polynomial.C_neg
0.000015    11218 with_bot.has_one
0.000016    11219 eq_of_zero_eq_one
0.000015    11220 polynomial.monic_of_degree_le
0.000016    11221 polynomial.degree_X_pow_le
0.000016    11222 polynomial.coeff_add
0.000014    11223 polynomial.monomial.equations._eqn_1
0.492173    11224 polynomial.coeff_X_pow
0.000084    11225 polynomial.monic_X_pow_add
0.000022    11226 with_bot.has_zero
0.000015    11227 polynomial.degree_C
0.000014    11228 polynomial.degree_C_le
0.000014    11229 polynomial.monic_X_add_C
0.000014    11230 polynomial.monic_X_sub_C
0.000014    11231 polynomial.root_multiplicity._proof_1
0.000014    11232 multiplicity.finite
0.000015    11233 polynomial.comm_semiring
0.000014    11234 le_mul_of_one_le_right
0.000014    11235 polynomial.nat_degree_C
0.000014    11236 polynomial.nat_degree_one
0.000014    11237 polynomial.nat_degree_zero
0.000018    11238 zero_pow
0.000015    11239 polynomial.leading_coeff_one
0.000017    11240 polynomial.leading_coeff_pow'
0.000015    11241 polynomial.degree_pow'
0.000016    11242 with_bot.coe_zero
0.000017    11243 with_bot.coe_nsmul
0.000015    11244 polynomial.nat_degree_pow'
0.000017    11245 not_lt_bot
0.000015    11246 finsupp.inhabited
0.000016    11247 finsupp.unique_of_right._proof_1
0.000018    11248 finsupp.unique_of_right
0.000017    11249 add_monoid_algebra.unique
0.000016    11250 polynomial.unique
0.000016    11251 polynomial.multiplicity_finite_of_degree_pos_of_monic
0.000015    11252 max_eq_left_of_lt
0.000016    11253 polynomial.degree_le_degree
0.000018    11254 polynomial.coeff_nat_degree_eq_zero_of_degree_lt
0.000017    11255 polynomial.ne_zero_of_degree_gt
0.000018    11256 polynomial.degree_add_eq_left_of_degree_lt
0.000015    11257 polynomial.degree_sub_eq_left_of_degree_lt
0.000014    11258 polynomial.degree_X
0.000015    11259 polynomial.degree_X_sub_C
0.000016    11260 polynomial.multiplicity_X_sub_C_finite
0.000015    11261 polynomial.root_multiplicity
0.000016    11262 polynomial.eval₂
0.000015    11263 ring_hom.id._proof_1
0.000015    11264 ring_hom.id._proof_2
0.000016    11265 ring_hom.id._proof_3
0.000015    11266 ring_hom.id._proof_4
0.000015    11267 ring_hom.id
0.000016    11268 polynomial.eval
0.000015    11269 polynomial.is_root
0.000014    11270 polynomial.eval₂_C
0.000016    11271 polynomial.eval_C
0.000016    11272 polynomial.coeff_monomial
0.000016    11273 polynomial.coeff_C_zero
0.000015    11274 polynomial.coeff_C
0.000014    11275 polynomial.eq_C_of_degree_le_zero
0.000017    11276 polynomial.is_root.equations._eqn_1
0.000015    11277 polynomial.degree_pos_of_root
0.000016    11278 polynomial.is_root.def
0.000015    11279 add_monoid_hom.mul_right._proof_1
0.000015    11280 add_monoid_hom.mul_right._proof_2
0.000016    11281 add_monoid_hom.mul_right
0.000015    11282 add_monoid_algebra.lift_nc
0.000016    11283 to_add_one
0.000016    11284 powers_hom._proof_1
0.000014    11285 powers_hom._proof_2
0.000016    11286 of_add_nsmul
0.000015    11287 nat.cast_id
0.000016    11288 of_add_to_add
0.000016    11289 monoid_hom.mk_coe
0.000014    11290 powers_hom._proof_3
0.000016    11291 powers_hom
0.000016    11292 polynomial.eval₂_eq_lift_nc
0.000014    11293 monoid_algebra.lift_nc
0.000016    11294 add_monoid_hom.map_finsupp_sum
0.000015    11295 finsupp.lift_add_hom_apply_single
0.000015    11296 monoid_algebra.lift_nc_single
0.000016    11297 is_add_monoid_hom.is_add_monoid_hom_mul_right
0.000015    11298 finset.sum_mul
0.000017    11299 finsupp.sum_mul
0.000015    11300 finsupp.mul_sum
0.000014    11301 ring_hom.coe_add_monoid_hom
0.000016    11302 monoid_algebra.lift_nc_mul
0.000016    11303 add_monoid_algebra.lift_nc_mul
0.000014    11304 polynomial.eval₂_mul_noncomm
0.000016    11305 polynomial.eval₂_mul
0.000016    11306 polynomial.eval_mul
0.000014    11307 polynomial.eval₂_add
0.000016    11308 polynomial.eval₂_zero
0.000016    11309 polynomial.eval₂_neg
0.000014    11310 polynomial.eval₂_sub
0.000016    11311 polynomial.eval_sub
0.000015    11312 polynomial.eval₂_X
0.000017    11313 polynomial.eval_X
0.000015    11314 nontrivial_of_ne
0.000016    11315 polynomial.not_monic_zero
0.000015    11316 polynomial.ne_zero_of_monic
0.000014    11317 polynomial.mod_by_monic_X_sub_C_eq_C_eval
0.000016    11318 polynomial.mul_div_by_monic_eq_iff_is_root
0.000015    11319 polynomial.mod_by_monic_eq_self_iff
0.000017    11320 polynomial.div_by_monic_eq_zero_iff
0.000015    11321 with_bot.bot_lt_some
0.000015    11322 polynomial.degree_add_eq_right_of_degree_lt
0.000016    11323 polynomial.degree_add_div_by_monic
0.000015    11324 nat.lt_add_of_pos_left
0.000016    11325 polynomial.degree_div_by_monic_lt
0.000015    11326 domain.exists_pair_ne
0.000017    11327 domain.to_nontrivial
0.000015    11328 multiset.card_cons
0.000014    11329 with_top.add_comm_semigroup._proof_1
0.000017    11330 with_top.add_comm_semigroup._proof_2
0.000015    11331 with_top.add_comm_semigroup
0.000014    11332 with_bot.add_comm_semigroup
0.000016    11333 roption
0.000016    11334 roption.dom
0.000014    11335 roption.get
0.000016    11336 enat
0.000016    11337 enat.find
0.000014    11338 multiplicity
0.000016    11339 multiplicity.equations._eqn_1
0.000016    11340 polynomial.root_multiplicity.equations._eqn_1
0.000014    11341 enat.find_get
0.000016    11342 polynomial.root_multiplicity_eq_multiplicity
0.000015    11343 integral_domain.to_comm_cancel_monoid_with_zero._proof_1
0.403923    11344 integral_domain.to_comm_cancel_monoid_with_zero._proof_2
0.000077    11345 integral_domain.to_comm_cancel_monoid_with_zero._proof_3
0.000024    11346 integral_domain.to_comm_cancel_monoid_with_zero._proof_4
0.000015    11347 integral_domain.to_comm_cancel_monoid_with_zero._proof_5
0.000014    11348 integral_domain.to_comm_cancel_monoid_with_zero._proof_6
0.000014    11349 integral_domain.to_comm_cancel_monoid_with_zero._proof_7
0.000014    11350 integral_domain.to_comm_cancel_monoid_with_zero._proof_8
0.000014    11351 integral_domain.to_comm_cancel_monoid_with_zero._proof_9
0.000014    11352 integral_domain.to_comm_cancel_monoid_with_zero._proof_10
0.000014    11353 integral_domain.to_comm_cancel_monoid_with_zero
0.000015    11354 polynomial.integral_domain._proof_1
0.000014    11355 polynomial.integral_domain._proof_2
0.000014    11356 polynomial.integral_domain._proof_3
0.000014    11357 polynomial.integral_domain._proof_4
0.000014    11358 polynomial.integral_domain._proof_5
0.000014    11359 polynomial.integral_domain._proof_6
0.000014    11360 polynomial.integral_domain._proof_7
0.000019    11361 polynomial.integral_domain._proof_8
0.000015    11362 polynomial.integral_domain._proof_9
0.000016    11363 polynomial.integral_domain._proof_10
0.000017    11364 polynomial.integral_domain._proof_11
0.000018    11365 polynomial.integral_domain._proof_12
0.000015    11366 polynomial.integral_domain._proof_13
0.000016    11367 polynomial.integral_domain._proof_14
0.000016    11368 polynomial.integral_domain._proof_15
0.000017    11369 polynomial.integral_domain._proof_16
0.000018    11370 exists_ne
0.000015    11371 finsupp.ext_iff
0.000017    11372 ite_eq_right_iff
0.000016    11373 set.indicator_apply_eq_zero
0.000015    11374 finsupp.single_eq_zero
0.000015    11375 finsupp.nontrivial
0.000016    11376 add_monoid_algebra.nontrivial
0.000015    11377 polynomial.nontrivial
0.000016    11378 polynomial.integral_domain._proof_17
0.000015    11379 polynomial.leading_coeff_mul
0.000014    11380 polynomial.no_zero_divisors
0.000016    11381 polynomial.integral_domain._proof_18
0.000015    11382 polynomial.integral_domain
0.000016    11383 prime
0.000015    11384 multiplicity.finite_of_finite_mul_left
0.000016    11385 multiplicity.finite_of_finite_mul_right
0.000015    11386 nat.sub_add_comm
0.000016    11387 nat.sub_lt_self
0.000015    11388 multiplicity.finite_mul_aux
0.000016    11389 multiplicity.finite_mul
0.000015    11390 multiplicity.finite_mul_iff
0.000015    11391 polynomial.degree_X_pow
0.000016    11392 polynomial.degree_X_pow_sub_C
0.000015    11393 polynomial.X_pow_sub_C_ne_zero
0.000016    11394 polynomial.X_sub_C_ne_zero
0.000015    11395 polynomial.eval.equations._eqn_1
0.000016    11396 polynomial.eval₂.equations._eqn_1
0.000014    11397 ring_hom.id_apply
0.000017    11398 polynomial.le_nat_degree_of_ne_zero
0.000015    11399 polynomial.le_nat_degree_of_mem_supp
0.000014    11400 polynomial.supp_subset_range
0.000017    11401 polynomial.sum_over_range'
0.000015    11402 polynomial.nat_degree_le_iff_degree_le
0.000014    11403 polynomial.nat_degree_le_of_degree_le
0.000016    11404 polynomial.nat_degree_mul_le
0.000015    11405 polynomial.degree_sub_le
0.000027    11406 polynomial.degree_X_le
0.000015    11407 polynomial.nat_degree_X_sub_C_le
0.000015    11408 finset.prod_insert
0.000017    11409 finset.prod_range_succ_comm
0.000016    11410 finset.prod_range_succ
0.000014    11411 finset.prod_range_succ'
0.000017    11412 finset.sum_range_succ'
0.000015    11413 polynomial.coeff_sub
0.000016    11414 add_right_cancel_iff
0.000015    11415 polynomial.coeff_mul_X_pow
0.000014    11416 polynomial.coeff_mul_X
0.000016    11417 monoid_algebra.mul_single_apply_aux
0.000016    11418 add_monoid_algebra.mul_single_apply_aux
0.000014    11419 add_monoid_algebra.mul_single_zero_apply
0.000016    11420 polynomial.coeff_mul_C
0.000015    11421 polynomial.coeff_mul_X_sub_C
0.000016    11422 finset.prod_empty
0.000016    11423 finset.prod_range_zero
0.000014    11424 finset.prod_range_induction
0.000016    11425 finset.sum_range_induction
0.000015    11426 tactic.abel.unfold_sub
0.000017    11427 norm_num.subst_into_add
0.000015    11428 gpow._main
0.000014    11429 gpow
0.000016    11430 multiplicative.div_inv_monoid._proof_1
0.000016    11431 multiplicative.div_inv_monoid._proof_2
0.000014    11432 multiplicative.div_inv_monoid._proof_3
0.000016    11433 multiplicative.div_inv_monoid._proof_4
0.000015    11434 multiplicative.div_inv_monoid._proof_5
0.000014    11435 multiplicative.has_inv
0.000017    11436 multiplicative.has_div
0.000015    11437 multiplicative.div_inv_monoid
0.000016    11438 multiplicative.group._proof_1
0.000015    11439 multiplicative.group._proof_2
0.000015    11440 multiplicative.group._proof_3
0.000016    11441 multiplicative.group._proof_4
0.000015    11442 multiplicative.group._proof_5
0.000015    11443 multiplicative.group._proof_6
0.644020    11444 multiplicative.group
0.000078    11445 gsmul
0.000025    11446 tactic.abel.termg
0.000015    11447 tactic.abel.termg.equations._eqn_1
0.000015    11448 one_gsmul
0.000014    11449 tactic.abel.term_atomg
0.000014    11450 norm_num.subst_into_neg
0.000014    11451 group.has_pow
0.000015    11452 one_inv
0.000015    11453 gpow_neg
0.000014    11454 neg_gsmul
0.000014    11455 tactic.abel.term_neg
0.000015    11456 int.induction_on
0.000014    11457 gpow_zero
0.000014    11458 gpow_coe_nat
0.000014    11459 right_cancel_semigroup
0.000014    11460 right_cancel_semigroup.mul
0.000015    11461 right_cancel_semigroup.mul_assoc
0.000014    11462 right_cancel_semigroup.to_semigroup
0.000014    11463 right_cancel_monoid.mul_right_cancel
0.000014    11464 right_cancel_monoid.to_right_cancel_semigroup
0.000015    11465 inv_mul_cancel_left
0.000014    11466 group.to_cancel_monoid._proof_1
0.000014    11467 mul_right_inv
0.000014    11468 mul_inv_cancel_right
0.000017    11469 group.to_cancel_monoid._proof_2
0.000017    11470 group.to_cancel_monoid
0.000017    11471 right_cancel_semigroup.mul_right_cancel
0.000018    11472 mul_right_cancel
0.000016    11473 mul_left_injective
0.000017    11474 mul_left_inj
0.000017    11475 int.neg_succ_of_nat_eq
0.000017    11476 gpow_one
0.000016    11477 mul_inv_cancel_left
0.000015    11478 mul_inv_rev
0.000015    11479 inv_mul_cancel_right
0.000016    11480 gpow_add_one
0.000015    11481 gpow_sub_one
0.000016    11482 gpow_add
0.000015    11483 add_gsmul
0.000016    11484 tactic.abel.term_add_termg
0.000015    11485 zero_gsmul
0.000015    11486 tactic.abel.zero_termg
0.000016    11487 tactic.abel.term_add_constg
0.000015    11488 tactic.abel.const_add_termg
0.000014    11489 norm_num.add_neg_pos_pos
0.000017    11490 finset.sum_range_sub'
0.000015    11491 with_bot.bot_lt_coe
0.000016    11492 polynomial.coeff_eq_zero_of_nat_degree_lt
0.000015    11493 polynomial.coeff_nat_degree_succ_eq_zero
0.000015    11494 finset.nat.antidiagonal_zero
0.000016    11495 polynomial.mul_coeff_zero
0.000015    11496 polynomial.coeff_X_zero
0.000014    11497 polynomial.eval_mul_X_sub_C
0.000017    11498 polynomial.eval₂_one
0.000015    11499 polynomial.eval_one
0.000016    11500 polynomial.not_is_unit_X_sub_C
0.000015    11501 polynomial.C_inj
0.000014    11502 polynomial.dvd_iff_is_root
0.000017    11503 polynomial.prime_X_sub_C
0.000015    11504 roption.some
0.000016    11505 enat.has_coe
0.000015    11506 roption.cases_on
0.000016    11507 roption.no_confusion_type
0.000015    11508 roption.no_confusion
0.000016    11509 roption.mk.inj
0.000015    11510 roption.some_inj
0.000016    11511 enat.coe_inj
0.000015    11512 roption.ext'
0.000017    11513 enat.coe_get
0.000015    11514 roption.mem
0.000014    11515 roption.has_mem
0.000016    11516 enat.has_le
0.000016    11517 one_dvd
0.000016    11518 multiplicity.pow_dvd_of_le_multiplicity
0.000015    11519 enat.partial_order._proof_1
0.000014    11520 enat.partial_order._match_1
0.000017    11521 enat.partial_order._match_2
0.000015    11522 enat.partial_order._proof_2
0.000014    11523 enat.partial_order._proof_3
0.000017    11524 enat.partial_order._match_3
0.000015    11525 enat.partial_order._match_4
0.000016    11526 enat.partial_order._proof_4
0.000015    11527 enat.partial_order
0.000015    11528 roption.none
0.000016    11529 enat.has_top
0.000015    11530 roption.mem_some
0.000016    11531 roption.eq_some_iff
0.000015    11532 roption.some_get
0.000016    11533 roption.not_mem_none
0.000016    11534 roption.ext
0.000014    11535 roption.eq_none_iff
0.000014    11536 roption.eq_none_iff'
0.000014    11537 roption.induction_on
0.000017    11538 enat.cases_on
0.000014    11539 enat.has_zero
0.000016    11540 enat.has_bot
0.000015    11541 enat.semilattice_sup_bot._proof_1
0.000017    11542 enat.has_sup._proof_1
0.000015    11543 enat.has_sup._proof_2
0.000017    11544 enat.has_sup
0.000015    11545 enat.semilattice_sup_bot._proof_2
0.000016    11546 enat.semilattice_sup_bot._proof_3
0.000015    11547 enat.semilattice_sup_bot._match_1
0.000015    11548 enat.semilattice_sup_bot._match_2
0.000016    11549 enat.semilattice_sup_bot._proof_4
0.000015    11550 enat.semilattice_sup_bot
0.000016    11551 enat.order_top._proof_1
0.000015    11552 enat.order_top
0.000016    11553 enat.coe_le_coe
0.000015    11554 enat.linear_order._proof_1
0.000014    11555 enat.linear_order
0.000017    11556 multiplicity.pow_multiplicity_dvd
0.000015    11557 enat.le_def
0.000016    11558 enat.lt_def
0.000015    11559 enat.dom_coe
0.000014    11560 enat.get_coe'
0.000016    11561 enat.lt_coe_iff
0.000016    11562 pow_dvd_pow
0.000014    11563 multiplicity.is_greatest
0.000016    11564 enat.le_coe_iff
0.000015    11565 multiplicity.unique
0.000016    11566 multiplicity.unique'
0.000015    11567 multiplicity.eq_some_iff
0.000016    11568 enat.coe_lt_coe
0.000015    11569 multiplicity.is_greatest'
0.000015    11570 prime.div_or_div
0.000016    11571 pow_eq_zero
0.000015    11572 pow_ne_zero
0.000014    11573 prime.ne_zero
0.000017    11574 succ_dvd_or_succ_dvd_of_succ_sum_dvd_mul
0.000015    11575 multiplicity.mul'
0.000016    11576 polynomial.root_multiplicity_mul
0.000015    11577 roption.get_some
0.000016    11578 roption.get_eq_iff_eq_some
0.000015    11579 is_unit_iff_dvd_one
1.251047    11580 is_unit_iff_forall_dvd
0.000076    11581 units.coe_hom
0.000024    11582 units.coe_pow
0.000014    11583 is_unit.pow
0.000015    11584 multiplicity.not_unit_of_finite
0.000014    11585 multiplicity.ne_zero_of_finite
0.000014    11586 multiplicity.get_multiplicity_self
0.000014    11587 polynomial.root_multiplicity_X_sub_C_self
0.000014    11588 multiplicity.multiplicity_eq_zero_of_not_dvd
0.000016    11589 enat.coe_zero
0.000014    11590 polynomial.root_multiplicity_eq_zero
0.000014    11591 polynomial.root_X_sub_C
0.000014    11592 polynomial.root_multiplicity_X_sub_C
0.000014    11593 polynomial.exists_multiset_roots
0.000015    11594 polynomial.roots
0.000014    11595 polynomial.nth_roots
0.000014    11596 primitive_roots
0.000017    11597 complex.has_add
0.000017    11598 complex.cases_on
0.000017    11599 complex.ext
0.000015    11600 complex.ext_iff
0.000017    11601 complex.add_re
0.000016    11602 tactic.ring.horner
0.000017    11603 tactic.ring.horner.equations._eqn_1
0.000015    11604 tactic.ring.horner_atom
0.000017    11605 tactic.ring.horner_add_const
0.000019    11606 complex.add_im
0.000015    11607 complex.comm_ring._proof_1
0.000016    11608 complex.has_zero
0.000017    11609 complex.zero_re
0.000017    11610 complex.zero_im
0.000015    11611 complex.comm_ring._proof_2
0.000016    11612 complex.comm_ring._proof_3
0.000015    11613 complex.comm_ring._proof_4
0.000017    11614 complex.comm_ring._proof_5
0.000014    11615 complex.has_neg
0.000016    11616 complex.has_sub
0.000015    11617 complex.comm_ring._proof_6
0.000017    11618 complex.neg_re
0.000015    11619 complex.neg_im
0.000016    11620 complex.comm_ring._proof_7
0.000015    11621 tactic.ring.const_add_horner
0.000014    11622 complex.comm_ring._proof_8
0.000017    11623 complex.has_mul
0.000015    11624 complex.mul_re
0.000015    11625 complex.mul_im
0.000016    11626 tactic.ring.unfold_sub
0.000015    11627 norm_num.subst_into_mul
0.000016    11628 tactic.ring.horner_mul_const
0.000015    11629 tactic.ring.horner_neg
0.000016    11630 tactic.ring.horner_const_mul
0.000016    11631 norm_num.mul_neg_pos
0.000015    11632 tactic.ring.horner_add_horner_eq
0.000016    11633 complex.comm_ring._proof_9
0.000015    11634 complex.one_re
0.000014    11635 complex.one_im
0.000017    11636 complex.comm_ring._proof_10
0.000015    11637 complex.comm_ring._proof_11
0.000015    11638 complex.comm_ring._proof_12
0.000014    11639 complex.comm_ring._proof_13
0.000014    11640 complex.comm_ring._proof_14
0.000016    11641 complex.comm_ring._proof_15
0.000015    11642 complex.comm_ring._proof_16
0.000017    11643 complex.comm_ring
0.000015    11644 complex.conj._proof_1
0.000017    11645 real.domain._proof_1
0.000016    11646 real.domain
0.000016    11647 complex.conj._proof_2
0.000015    11648 complex.conj._proof_3
0.000014    11649 complex.conj._proof_4
0.000017    11650 complex.conj
0.000015    11651 complex.norm_sq._proof_1
0.000014    11652 complex.norm_sq._proof_2
0.000016    11653 tactic.ring.horner_mul_horner
0.000015    11654 tactic.ring.horner_mul_horner_zero
0.000016    11655 tactic.ring.horner_horner
0.000015    11656 norm_num.add_neg_neg
0.000017    11657 tactic.ring.zero_horner
0.000014    11658 complex.norm_sq._proof_3
0.000017    11659 complex.norm_sq
0.000015    11660 complex.has_inv
0.000014    11661 complex.field._proof_1
0.000016    11662 complex.field._proof_2
0.000015    11663 complex.inv_def
0.000016    11664 complex.conj_re
0.000015    11665 complex.conj_im
0.000015    11666 complex.norm_sq.equations._eqn_1
0.000016    11667 monoid_with_zero_hom.coe_mk
0.000015    11668 complex.of_real_re
0.000016    11669 complex.of_real_im
0.000015    11670 complex.of_real_add
0.000016    11671 complex.of_real_mul
0.000015    11672 complex.mul_conj
0.000016    11673 abs_mul_abs_self
0.000015    11674 abs_mul_self
0.000015    11675 mul_self_nonneg
0.000016    11676 mul_self_eq_zero
0.000015    11677 mul_self_add_mul_self_eq_zero
0.000016    11678 eq_zero_of_mul_self_add_mul_self_eq_zero
0.000015    11679 complex.norm_sq_zero
0.000015    11680 complex.norm_sq_eq_zero
0.000016    11681 complex.of_real_one
0.000015    11682 complex.mul_inv_cancel
0.000017    11683 complex.of_real_zero
0.000015    11684 complex.inv_re
0.000014    11685 complex.norm_sq_of_real
0.000016    11686 inv_mul_mul_self
0.000015    11687 div_self_mul_self'
0.000016    11688 complex.inv_im
0.000015    11689 zero_div
0.000016    11690 complex.of_real_inv
0.000015    11691 complex.inv_zero
0.000016    11692 complex.field
0.000015    11693 nat.coprime.equations._eqn_1
0.000016    11694 nat.coprime.decidable._proof_1
0.000015    11695 nat.coprime.decidable
0.000017    11696 nat.totient
0.000015    11697 list.length_pmap
0.000016    11698 multiset.card_pmap
0.000015    11699 multiset.card_attach
0.000016    11700 finset.card_attach
0.000015    11701 finset.card.equations._eqn_1
0.000016    11702 list.length_map
0.000015    11703 multiset.card_map
0.000016    11704 finset.card_image_of_inj_on
0.000016    11705 finset.card_image_of_injective
0.000014    11706 finset.card_congr
0.000017    11707 primitive_roots.equations._eqn_1
0.000015    11708 multiset.mem_to_finset
0.000015    11709 polynomial.nth_roots.equations._eqn_1
0.535131    11710 polynomial.roots.equations._eqn_1
0.000077    11711 polynomial.count_roots
0.000023    11712 enat.has_one
0.000015    11713 enat.coe_lt_top
0.000014    11714 enat.pos_iff_one_le
0.000015    11715 multiplicity.dvd_of_multiplicity_pos
0.000014    11716 enat.has_add._proof_1
0.000015    11717 enat.has_add._proof_2
0.000014    11718 enat.has_add
0.000014    11719 enat.add_comm_monoid._proof_1
0.000015    11720 enat.add_comm_monoid._proof_2
0.000015    11721 enat.add_comm_monoid._proof_3
0.000014    11722 enat.add_comm_monoid._proof_4
0.000014    11723 enat.add_comm_monoid._proof_5
0.000014    11724 enat.add_comm_monoid._proof_6
0.000014    11725 enat.add_comm_monoid._proof_7
0.000014    11726 enat.add_comm_monoid._proof_8
0.000016    11727 enat.add_comm_monoid
0.000018    11728 enat.top_add
0.000015    11729 enat.ordered_add_comm_monoid._match_1
0.000016    11730 enat.ordered_add_comm_monoid._proof_1
0.000017    11731 enat.add_top
0.000018    11732 enat.coe_add
0.000017    11733 enat.ordered_add_comm_monoid._proof_2
0.000014    11734 enat.ordered_add_comm_monoid
0.000017    11735 enat.canonically_ordered_add_monoid._match_1
0.000017    11736 enat.canonically_ordered_add_monoid._proof_1
0.000015    11737 enat.canonically_ordered_add_monoid
0.000014    11738 multiplicity.dvd_iff_multiplicity_pos
0.000015    11739 polynomial.root_multiplicity_pos
0.000014    11740 polynomial.mem_roots
0.000018    11741 ring_hom.map_pow
0.000017    11742 is_semiring_hom
0.000017    11743 is_mul_hom
0.000017    11744 is_monoid_hom
0.000015    11745 is_monoid_hom.map_one
0.000016    11746 monoid_hom.of._proof_1
0.000017    11747 is_mul_hom.map_mul
0.000016    11748 is_monoid_hom.to_is_mul_hom
0.000014    11749 monoid_hom.of._proof_2
0.000016    11750 monoid_hom.of
0.000015    11751 is_semiring_hom.map_mul
0.000015    11752 is_semiring_hom.map_one
0.000016    11753 is_semiring_hom.is_monoid_hom
0.000015    11754 ring_hom.of._proof_1
0.000016    11755 ring_hom.of._proof_2
0.000015    11756 is_semiring_hom.map_add
0.000017    11757 is_semiring_hom.map_zero
0.000015    11758 is_semiring_hom.is_add_monoid_hom
0.000014    11759 ring_hom.of._proof_3
0.000017    11760 ring_hom.of._proof_4
0.000015    11761 ring_hom.of
0.000014    11762 polynomial.eval₂.is_semiring_hom
0.000016    11763 polynomial.eval₂_ring_hom
0.000015    11764 polynomial.eval₂_pow
0.000015    11765 polynomial.eval_pow
0.000016    11766 polynomial.mem_nth_roots
0.000015    11767 is_primitive_root.pow_eq_one
0.000016    11768 mem_primitive_roots
0.000016    11769 nat.coprime_zero_right
0.000014    11770 units.mk_of_mul_eq_one._proof_1
0.000067    11771 units.mk_of_mul_eq_one
0.000017    11772 is_unit_of_mul_eq_one
0.000017    11773 is_primitive_root.is_unit
0.000015    11774 comm_group
0.000016    11775 comm_group.mul
0.000015    11776 comm_group.mul_assoc
0.000016    11777 comm_group.one
0.000014    11778 comm_group.one_mul
0.000017    11779 comm_group.mul_one
0.000014    11780 comm_group.npow
0.000016    11781 comm_group.npow_zero'
0.000017    11782 comm_group.npow_succ'
0.000015    11783 comm_group.mul_comm
0.000017    11784 comm_group.to_comm_monoid
0.000015    11785 units.comm_group._proof_1
0.000016    11786 units.comm_group._proof_2
0.000015    11787 units.comm_group._proof_3
0.000016    11788 units.comm_group._proof_4
0.000015    11789 units.comm_group._proof_5
0.000016    11790 units.comm_group._proof_6
0.000017    11791 units.comm_group._proof_7
0.000015    11792 units.comm_group._proof_8
0.000016    11793 units.comm_group
0.000015    11794 is_primitive_root.dcases_on
0.000016    11795 is_primitive_root.iff_def
0.000015    11796 units.ext_iff
0.000016    11797 is_primitive_root.coe_units_iff
0.000015    11798 is_primitive_root.dvd_of_pow_eq_one
0.000017    11799 int.sizeof
0.000014    11800 int.has_sizeof_inst
0.000018    11801 xgcd_aux._main._pack._wf_rec_mk_dec_tactic._aux_1
0.000017    11802 nat.xgcd_aux._main._pack
0.000015    11803 nat.xgcd_aux._main
0.000016    11804 nat.xgcd_aux
0.000014    11805 nat.xgcd
0.000016    11806 nat.gcd_a
0.000015    11807 nat.gcd_b
0.000017    11808 _private.1868879389.P._main
0.000015    11809 _private.1868879389.P
0.000014    11810 nat.gcd_a.equations._eqn_1
0.000016    11811 nat.gcd_b.equations._eqn_1
0.000015    11812 nat.xgcd_val
0.000016    11813 nat.xgcd.equations._eqn_1
0.000015    11814 nat.xgcd_aux._main._pack.equations._eqn_1
0.000014    11815 nat.xgcd_aux._main.equations._eqn_1
0.000017    11816 nat.xgcd_aux.equations._eqn_1
0.000015    11817 nat.xgcd_zero_left
0.000016    11818 nat.xgcd_aux._main._pack.equations._eqn_2
0.000015    11819 nat.xgcd_aux._main.equations._eqn_2
0.000016    11820 nat.xgcd_aux.equations._eqn_2
0.000015    11821 nat.xgcd_aux_rec
0.000016    11822 nat.xgcd_aux_fst
0.000015    11823 nat.xgcd_aux_val
0.000017    11824 nat.xgcd_aux_P
0.000014    11825 _private.1868879389.P._main.equations._eqn_1
0.000017    11826 _private.1868879389.P.equations._eqn_1
0.000015    11827 nat.gcd_eq_gcd_ab
0.000014    11828 gpow_sub
0.000016    11829 gpow_mul
0.000015    11830 one_gpow
0.000016    11831 is_primitive_root.pow_of_coprime
0.000016    11832 nat.eq_zero_of_dvd_of_div_eq_zero
0.313938    11833 nat.mul_right_inj
0.000076    11834 nat.div_eq_zero_iff
0.000024    11835 nat.eq_zero_of_dvd_of_lt
0.000015    11836 units.mul_left_inj
0.000014    11837 is_unit.mul_left_inj
0.000014    11838 nat.sub_le_self
0.000014    11839 iff.to_eq
0.000014    11840 is_primitive_root.pow_inj
0.000015    11841 invertible
0.000014    11842 invertible.inv_of
0.000014    11843 invertible.mul_inv_of_self
0.000015    11844 mul_inv_of_self
0.000014    11845 unit_of_invertible._proof_1
0.000015    11846 invertible.inv_of_mul_self
0.000018    11847 inv_of_mul_self
0.000018    11848 unit_of_invertible._proof_2
0.000017    11849 unit_of_invertible
0.000015    11850 is_unit_of_invertible
0.000016    11851 invertible_of_pow_succ_eq_one._proof_1
0.000017    11852 invertible_of_pow_succ_eq_one._proof_2
0.000015    11853 invertible_of_pow_succ_eq_one
0.000016    11854 invertible_of_pow_eq_one._proof_1
0.000017    11855 invertible_of_pow_eq_one
0.000017    11856 is_unit_of_pow_eq_one
0.000018    11857 coe_pnat_nat
0.000017    11858 subgroup
0.000016    11859 subgroup.carrier
0.000015    11860 subgroup.cases_on
0.000016    11861 subgroup.set_like._proof_1
0.000017    11862 subgroup.set_like
0.000017    11863 roots_of_unity._proof_1
0.000017    11864 roots_of_unity._proof_2
0.000018    11865 inv_pow
0.000014    11866 roots_of_unity._proof_3
0.000018    11867 roots_of_unity
0.000017    11868 subgroup.one_mem'
0.000016    11869 subgroup.copy._proof_1
0.000016    11870 subgroup.mul_mem'
0.000014    11871 subgroup.copy._proof_2
0.000016    11872 subgroup.inv_mem'
0.000015    11873 subgroup.copy._proof_3
0.000016    11874 subgroup.copy
0.000015    11875 submonoid.map._proof_1
0.000016    11876 submonoid.map._proof_2
0.000015    11877 submonoid.map
0.000016    11878 subgroup.to_submonoid
0.000015    11879 subgroup.map._proof_1
0.000016    11880 subgroup.map._proof_2
0.000015    11881 subgroup.inv_mem
0.000016    11882 monoid_hom.map_mul_eq_one
0.000015    11883 monoid_hom.map_inv
0.000017    11884 subgroup.map._proof_3
0.000015    11885 subgroup.map
0.000016    11886 submonoid.has_top._proof_1
0.000015    11887 submonoid.has_top._proof_2
0.000016    11888 submonoid.has_top
0.000015    11889 subgroup.has_top._proof_1
0.000015    11890 subgroup.has_top._proof_2
0.000016    11891 subgroup.has_top._proof_3
0.000015    11892 subgroup.has_top
0.000016    11893 subgroup.coe_map
0.000015    11894 subgroup.coe_top
0.000016    11895 monoid_hom.range._proof_1
0.000024    11896 monoid_hom.range
0.000016    11897 gpowers_hom._proof_1
0.000014    11898 monoid_hom.map_gpow
0.000018    11899 of_add_gsmul
0.000017    11900 gsmul_eq_mul
0.000015    11901 int.cast_id
0.000016    11902 gsmul_int_int
0.000015    11903 gpowers_hom._proof_2
0.000017    11904 gpowers_hom
0.000017    11905 subgroup.gpowers._proof_1
0.000015    11906 subgroup.gpowers
0.000017    11907 fintype.card
0.000015    11908 set.has_ssubset
0.000014    11909 set.eq_or_ssubset_of_subset
0.000016    11910 finset.card_map
0.000015    11911 finset.val_lt_iff
0.000016    11912 finset.card_lt_card
0.000015    11913 finset.card_lt_univ_of_not_mem
0.000017    11914 finset.coe_map
0.000015    11915 finset.coe_univ
0.000014    11916 fintype.card_lt_of_injective_of_not_mem
0.000016    11917 fintype.card_lt_of_injective_not_surjective
0.000015    11918 set.inclusion._proof_1
0.000015    11919 set.inclusion
0.000016    11920 set.inclusion_injective
0.000015    11921 set.ssubset_iff_subset_ne
0.000015    11922 set.inclusion.equations._eqn_1
0.000016    11923 subtype.mk_eq_mk
0.000015    11924 set.range_inclusion
0.000016    11925 set.eq_of_inclusion_surjective
0.000015    11926 set.card_lt_card
0.000014    11927 set.eq_of_subset_of_card_le
0.000017    11928 fintype.of_bijective._proof_1
0.000014    11929 multiset.mem_map_of_injective
0.000016    11930 finset.mem_map'
0.000015    11931 finset.mem_map_of_mem
0.000016    11932 fintype.of_bijective._match_1
0.000015    11933 fintype.of_bijective._proof_2
0.000016    11934 fintype.of_bijective
0.000015    11935 equiv.bijective
0.000016    11936 fintype.of_equiv
0.000015    11937 set_like.has_coe_to_sort
0.000016    11938 zmod._main
0.000015    11939 zmod
0.000014    11940 fact
0.000016    11941 fact.out
0.000015    11942 fin.mk
0.000016    11943 list.fin_range._proof_1
0.000015    11944 list.fin_range
0.000014    11945 list.nodup_fin_range
0.000016    11946 finset.fin_range
0.000015    11947 fin.eta
0.000016    11948 list.mem_fin_range
0.000015    11949 finset.mem_fin_range
0.000016    11950 fin.fintype
0.000015    11951 zmod.fintype._main
0.000016    11952 zmod.fintype
0.000015    11953 pnat.pos
0.000016    11954 _private.4164854483.mlt
0.000015    11955 fin.add._main
0.000017    11956 fin.add
0.000014    11957 fin.has_add
0.000016    11958 fin.eq_iff_veq
0.000015    11959 fin.add._main._proof_1
0.000016    11960 fin.add._main.equations._eqn_1
0.000015    11961 fin.add.equations._eqn_1
0.000016    11962 fin.add_def
0.000015    11963 fin.val_eq_coe
0.000015    11964 nat.mod_add_mod
0.000016    11965 nat.add_mod_mod
0.000015    11966 fin.inhabited
0.000016    11967 fin.add_comm_monoid._proof_1
0.000015    11968 fin.val_zero'
0.000016    11969 fin.is_lt
0.000014    11970 fin.zero_add
0.000017    11971 fin.add_zero
0.000015    11972 fin.add_comm_monoid._proof_2
0.000014    11973 fin.add_comm_monoid._proof_3
0.138055    11974 fin.add_comm_monoid._proof_4
0.000084    11975 fin.add_comm_monoid
0.000023    11976 fin.add_comm_group._proof_1
0.000015    11977 fin.add_comm_group._proof_2
0.000014    11978 fin.add_comm_group._proof_3
0.000015    11979 fin.add_comm_group._proof_4
0.000014    11980 fin.add_comm_group._proof_5
0.000014    11981 int.nat_mod
0.000015    11982 int.nat_mod.equations._eqn_1
0.000015    11983 int.to_nat_of_nonneg
0.000014    11984 int.coe_nat_ne_zero_iff_pos
0.000014    11985 fin.has_neg._proof_1
0.000015    11986 fin.has_neg
0.000014    11987 fin.sub._main
0.000014    11988 fin.sub
0.000013    11989 int.coe_nat_mod
0.000014    11990 int.add_mul_mod_self_left
0.000014    11991 int.mod_add_mod
0.000018    11992 int.add_mod_eq_add_mod_right
0.000017    11993 int.mod_add_cancel_right
0.000017    11994 int.mod_add_cancel_left
0.000017    11995 int.add_mod_self
0.000017    11996 int.add_mod_self_left
0.000015    11997 int.mod_mod
0.000015    11998 fin.add_comm_group._match_2
0.000016    11999 fin.add_comm_group._match_3
0.000017    12000 fin.add_comm_group._proof_6
0.000017    12001 int.add_mod_mod
0.000018    12002 fin.add_comm_group._match_1
0.000017    12003 fin.add_comm_group._proof_7
0.000025    12004 fin.add_comm_group._proof_8
0.000021    12005 fin.add_comm_group
0.000017    12006 fin.comm_ring._proof_1
0.000016    12007 fin.comm_ring._proof_2
0.000014    12008 fin.comm_ring._proof_3
0.000016    12009 fin.comm_ring._proof_4
0.000015    12010 fin.comm_ring._proof_5
0.000016    12011 fin.comm_ring._proof_6
0.000015    12012 fin.comm_ring._proof_7
0.000017    12013 fin.comm_ring._proof_8
0.000015    12014 fin.mul._main
0.000014    12015 fin.mul
0.000016    12016 fin.has_mul
0.000027    12017 nat.modeq
0.000015    12018 nat.modeq.trans
0.000014    12019 nat.modeq.equations._eqn_1
0.000014    12020 int.mod_sub_cancel_right
0.000014    12021 int.mod_eq_mod_iff_mod_sub_eq_zero
0.000015    12022 int.dvd_of_mod_eq_zero
0.000016    12023 int.dvd_iff_mod_eq_zero
0.000015    12024 nat.modeq.modeq_iff_dvd
0.000017    12025 nat.modeq.modeq_of_dvd
0.000015    12026 nat.modeq.dvd_of_modeq
0.000016    12027 nat.modeq.modeq_of_dvd_of_modeq
0.000015    12028 nat.modeq.modeq_mul_left'
0.000017    12029 nat.modeq.modeq_mul_left
0.000014    12030 nat.modeq.modeq_mul_right
0.000017    12031 nat.modeq.modeq_mul
0.000015    12032 nat.mod_mod
0.000016    12033 nat.modeq.refl
0.000015    12034 fin.comm_semigroup._match_1
0.000017    12035 fin.comm_semigroup._match_2
0.000015    12036 fin.comm_semigroup._match_3
0.000016    12037 fin.comm_semigroup._proof_1
0.000015    12038 fin.comm_semigroup._match_4
0.000017    12039 fin.comm_semigroup._match_5
0.000015    12040 fin.comm_semigroup._proof_2
0.000016    12041 fin.comm_semigroup
0.000015    12042 fin.comm_ring._proof_9
0.000016    12043 fin.of_nat._proof_1
0.000015    12044 fin.of_nat
0.000016    12045 fin.has_one
0.000015    12046 fin.eq_zero
0.000014    12047 fin.unique
0.000017    12048 fin.mul._main._proof_1
0.000017    12049 fin.mul._main.equations._eqn_1
0.000016    12050 fin.mul.equations._eqn_1
0.000014    12051 fin.mul_def
0.000016    12052 fin.val_one
0.000015    12053 fin.one_mul
0.000016    12054 fin.mul_one
0.000015    12055 fin.comm_ring._proof_10
0.000017    12056 fin.comm_ring._proof_11
0.000015    12057 dvd_add
0.000016    12058 nat.modeq.modeq_add
0.000015    12059 _private.627668947.left_distrib_aux
0.000015    12060 fin.comm_ring._proof_12
0.000016    12061 fin.comm_ring._proof_13
0.000015    12062 fin.comm_ring
0.000014    12063 zmod.comm_ring._main
0.000017    12064 zmod.comm_ring
0.000015    12065 submonoid.has_mul._proof_1
0.000016    12066 submonoid.has_mul
0.000015    12067 subgroup.has_mul
0.000015    12068 add_equiv.of_bijective._proof_1
0.000016    12069 add_equiv.of_bijective._proof_2
0.000015    12070 add_equiv.of_bijective
0.000015    12071 function.injective.group._proof_1
0.000016    12072 function.injective.group._proof_2
0.000015    12073 function.injective.group._proof_3
0.000015    12074 function.injective.group._proof_4
0.000016    12075 function.injective.group._proof_5
0.000015    12076 function.injective.group._proof_6
0.000016    12077 function.injective.group._proof_7
0.000015    12078 function.injective.group
0.000017    12079 submonoid.has_one
0.000015    12080 subgroup.has_one
0.000014    12081 subgroup.has_inv._proof_1
0.000016    12082 subgroup.has_inv
0.000016    12083 subgroup.div_mem
0.000014    12084 subgroup.has_div._proof_1
0.000016    12085 subgroup.has_div
0.000015    12086 subgroup.to_group._proof_1
0.000016    12087 subgroup.to_group._proof_2
0.000016    12088 subgroup.to_group._proof_3
0.000014    12089 subgroup.to_group._proof_4
0.000016    12090 subgroup.to_group._proof_5
0.000015    12091 subgroup.to_group
0.000015    12092 additive.sub_neg_monoid._proof_1
0.000016    12093 additive.sub_neg_monoid._proof_2
0.000015    12094 additive.sub_neg_monoid._proof_3
0.000014    12095 additive.sub_neg_monoid._proof_4
0.000017    12096 additive.sub_neg_monoid._proof_5
0.000015    12097 additive.has_neg
0.000015    12098 additive.has_sub
0.000016    12099 additive.sub_neg_monoid
0.000015    12100 additive.add_group._proof_1
0.000015    12101 additive.add_group._proof_2
0.860790    12102 additive.add_group._proof_3
0.000076    12103 additive.add_group._proof_4
0.000024    12104 additive.add_group._proof_5
0.000015    12105 additive.add_group._proof_6
0.000014    12106 additive.add_group
0.000014    12107 add_subgroup.has_bot._proof_1
0.000014    12108 add_subgroup.has_bot._proof_2
0.000015    12109 add_submonoid.mem_carrier
0.000014    12110 neg_eq_zero
0.000014    12111 add_subgroup.has_bot._proof_3
0.000014    12112 add_subgroup.has_bot
0.000014    12113 add_monoid_hom.ker
0.000014    12114 add_monoid_hom.lift_of_right_inverse_aux._proof_1
0.000015    12115 add_neg_eq_zero
0.000014    12116 add_monoid_hom.mem_ker
0.000017    12117 add_monoid_hom.lift_of_right_inverse_aux._proof_2
0.000017    12118 add_monoid_hom.lift_of_right_inverse_aux
0.000018    12119 add_monoid_hom.lift_of_right_inverse._proof_1
0.000015    12120 add_monoid_hom.lift_of_right_inverse._proof_2
0.000016    12121 add_monoid_hom.comp_apply
0.000016    12122 add_monoid_hom.lift_of_right_inverse_aux_comp_apply
0.000014    12123 add_monoid_hom.lift_of_right_inverse._proof_3
0.000016    12124 add_monoid_hom.lift_of_right_inverse_aux.equations._eqn_1
0.000017    12125 add_monoid_hom.lift_of_right_inverse._proof_4
0.000018    12126 add_monoid_hom.lift_of_right_inverse
0.000017    12127 zmod.val._main
0.000017    12128 zmod.val
0.000016    12129 zmod.cast._main
0.000017    12130 zmod.cast
0.000017    12131 zmod.has_coe_t
0.000014    12132 int.nat_cast_eq_coe_nat
0.000016    12133 fin.ext
0.000018    12134 fin.val_add
0.000016    12135 fin.of_nat.equations._eqn_1
0.000018    12136 nat.add_mod
0.000015    12137 fin.of_nat_eq_coe
0.000017    12138 fin.coe_val_of_lt
0.000018    12139 fin.coe_val_eq_self
0.000015    12140 fin.coe_coe_eq_self
0.000014    12141 zmod.int_cast_zmod_cast
0.000014    12142 zmod.int_cast_right_inverse
0.000017    12143 is_primitive_root.zmod_equiv_gpowers._proof_1
0.000014    12144 is_primitive_root.zmod_equiv_gpowers._proof_2
0.000017    12145 is_primitive_root.zmod_equiv_gpowers._proof_3
0.000015    12146 char_p
0.000016    12147 dvd_neg
0.000015    12148 nat.can_lift._proof_1
0.000017    12149 nat.can_lift
0.000015    12150 char_p.cast_eq_zero_iff
0.000014    12151 char_p.int_cast_eq_zero_iff
0.000016    12152 zmod.val_nat_cast
0.000015    12153 zmod.val_zero
0.000015    12154 nat.dvd_of_mod_eq_zero
0.000016    12155 nat.dvd_iff_mod_eq_zero
0.000015    12156 zmod.char_p
0.000016    12157 is_primitive_root.zmod_equiv_gpowers._proof_4
0.000015    12158 add_monoid_hom.injective_iff
0.000015    12159 comm_group.inv
0.000016    12160 comm_group.div
0.000015    12161 comm_group.div_eq_mul_inv
0.000017    12162 comm_group.mul_left_inv
0.000015    12163 comm_group.to_group
0.000014    12164 is_primitive_root.pow_eq_one_iff_dvd
0.000017    12165 inv_involutive
0.000015    12166 inv_injective
0.000014    12167 inv_inj
0.000016    12168 is_primitive_root.gpow_eq_one_iff_dvd
0.000016    12169 has_coe_t_aux
0.000014    12170 has_coe_t_aux.coe
0.000017    12171 coe_fn_trans
0.000015    12172 coe_base_aux
0.000014    12173 add_monoid_hom.lift_of_right_inverse_comp_apply
0.000017    12174 is_primitive_root.zmod_equiv_gpowers._proof_5
0.000015    12175 is_primitive_root.zmod_equiv_gpowers
0.000015    12176 fintype.of_multiset._proof_1
0.000016    12177 fintype.of_multiset
0.000015    12178 multiset.subtype.fintype
0.000016    12179 mem_roots_of_unity
0.000015    12180 mem_roots_of_unity_iff_mem_nth_roots
0.000017    12181 roots_of_unity_equiv_nth_roots._proof_1
0.000015    12182 subtype.val_injective
0.000014    12183 subtype.linear_order
0.000017    12184 pnat.linear_order
0.000015    12185 pnat.has_one
0.000016    12186 pnat.one_le
0.000015    12187 roots_of_unity_equiv_nth_roots._proof_2
0.000017    12188 roots_of_unity_equiv_nth_roots._proof_3
0.000014    12189 units.coe_mk
0.000015    12190 roots_of_unity_equiv_nth_roots._proof_4
0.000016    12191 roots_of_unity_equiv_nth_roots._proof_5
0.000015    12192 roots_of_unity_equiv_nth_roots._proof_6
0.000016    12193 roots_of_unity_equiv_nth_roots
0.000016    12194 roots_of_unity.fintype
0.000014    12195 submonoid.to_monoid._proof_1
0.000016    12196 submonoid.to_monoid._proof_2
0.000015    12197 submonoid.to_monoid._proof_3
0.000017    12198 submonoid.to_monoid
0.000015    12199 submonoid.to_mul_one_class._proof_1
0.000015    12200 submonoid.to_mul_one_class._proof_2
0.000016    12201 submonoid.to_mul_one_class._proof_3
0.000015    12202 submonoid.to_mul_one_class
0.000016    12203 submonoid.subtype._proof_1
0.000015    12204 submonoid.subtype._proof_2
0.000017    12205 submonoid.subtype
0.000015    12206 submonoid.coe_pow
0.000016    12207 submonoid.pow_mem
0.000015    12208 subgroup.pow_mem
0.000015    12209 subgroup.gpow_mem
0.000016    12210 subgroup.gpowers_subset
0.000015    12211 fintype.of_equiv_card
0.000015    12212 fintype.subsingleton._match_1
0.000016    12213 fintype.subsingleton._match_2
0.000016    12214 fintype.subsingleton
0.000014    12215 fintype.card_congr
0.000016    12216 multiset.card_le_of_le
0.000016    12217 list.erase_dup_sublist
0.000014    12218 multiset.erase_dup_le
0.581107    12219 multiset.empty_eq_zero
0.000076    12220 multiset.card_zero
0.000024    12221 polynomial.card_roots
0.000015    12222 is_ring_hom
0.000014    12223 is_ring_hom.map_add
0.000014    12224 is_ring_hom.map_zero
0.000015    12225 is_ring_hom.map_neg
0.000014    12226 is_ring_hom.map_sub
0.000014    12227 is_ring_hom.of_semiring
0.000014    12228 ring_hom.is_semiring_hom
0.000014    12229 ring_hom.is_ring_hom
0.000014    12230 polynomial.card_nth_roots
0.000014    12231 card_roots_of_unity
0.000014    12232 list.fin_range.equations._eqn_1
0.000014    12233 list.length_range
0.000014    12234 list.length_fin_range
0.000019    12235 fintype.card_fin
0.000015    12236 zmod.card
0.000014    12237 is_primitive_root.gpowers_eq
0.000014    12238 is_primitive_root.gpow_eq_one
0.000018    12239 is_primitive_root.eq_pow_of_mem_roots_of_unity
0.000017    12240 is_primitive_root.eq_pow_of_pow_eq_one
0.000017    12241 nat.mul_left_inj
0.000017    12242 is_primitive_root.pow_iff_coprime
0.000017    12243 is_primitive_root.is_primitive_root_iff
0.000015    12244 is_primitive_root.card_primitive_roots
0.000015    12245 rel_iso
0.000016    12246 order_iso
0.000017    12247 equiv.to_embedding
0.000017    12248 rel_iso.to_equiv
0.000017    12249 rel_iso.map_rel_iff'
0.000018    12250 rel_iso.to_rel_embedding
0.000015    12251 rel_iso.rel_embedding.has_coe
0.000019    12252 rel_iso.has_coe_to_fun
0.000015    12253 rel_iso.map_rel_iff
0.000016    12254 rel_iso.symm._proof_1
0.000015    12255 rel_iso.symm
0.000016    12256 order_iso.symm
0.000015    12257 rel_iso.trans._proof_1
0.000016    12258 rel_iso.trans
0.000015    12259 order_iso.trans
0.000016    12260 strict_mono.order_iso._proof_1
0.000015    12261 strict_mono.order_iso
0.000016    12262 order_iso.set_congr._proof_1
0.000015    12263 order_iso.set_congr
0.000017    12264 order_iso.set.univ._proof_1
0.000014    12265 order_iso.set.univ
0.000017    12266 strict_mono.order_iso_of_surjective
0.000015    12267 mul_self_lt_mul_self
0.000016    12268 nnreal.sqrt._proof_1
0.000015    12269 filter.at_bot
0.000016    12270 is_preconnected
0.000014    12271 preconnected_space
0.000016    12272 set.subset_compl_iff_disjoint
0.000015    12273 is_preconnected_closed_iff
0.000017    12274 preconnected_space.is_preconnected_univ
0.000015    12275 intermediate_value_univ₂
0.000016    12276 intermediate_value_univ
0.000015    12277 mem_range_of_exists_le_of_exists_ge
0.000017    12278 set.restrict
0.000014    12279 subtype.preconnected_space
0.000017    12280 map_nhds_induced_eq
0.000014    12281 inducing.map_nhds_eq
0.000017    12282 embedding.map_nhds_eq
0.000014    12283 embedding_subtype_coe
0.000017    12284 nhds_within_eq_map_subtype_coe
0.000014    12285 set.restrict.equations._eqn_1
0.000017    12286 tendsto_nhds_within_iff_subtype
0.000015    12287 continuous_within_at_iff_continuous_at_restrict
0.000014    12288 continuous_on_iff_continuous_restrict
0.000017    12289 is_preconnected.intermediate_value₂
0.000015    12290 continuous_on_const
0.000014    12291 is_preconnected.intermediate_value
0.000016    12292 continuous_on_id
0.000015    12293 is_preconnected.Icc_subset
0.000014    12294 is_preconnected_of_forall_pair
0.000016    12295 set.interval
0.000016    12296 set.interval.equations._eqn_1
0.000014    12297 set.interval_of_le
0.000016    12298 set.interval_of_ge
0.000015    12299 set.ord_connected.interval_subset
0.000016    12300 set.mem_Icc
0.000015    12301 set.left_mem_interval
0.000014    12302 set.interval_swap
0.000016    12303 set.right_mem_interval
0.000016    12304 set.Icc_subset_Icc
0.000014    12305 set.right_mem_Icc
0.000016    12306 set.left_mem_Icc
0.000015    12307 is_lub.mem_of_is_closed
0.000016    12308 is_lub_cSup
0.000016    12309 is_closed.cSup_mem
0.000014    12310 is_closed.mem_of_ge_of_forall_exists_gt
0.000017    12311 set.Icc_subset_Icc_right
0.000015    12312 is_closed_ge'
0.000014    12313 is_closed_Ici
0.000016    12314 is_closed_le'
0.000015    12315 is_closed_Iic
0.000017    12316 is_closed_Icc
0.000015    12317 set.Ico_subset_Ico_right
0.000014    12318 is_closed.Icc_subset_of_forall_exists_gt
0.000016    12319 set.Ioi_subset_Ici_self
0.000015    12320 sup_sdiff_left
0.000014    12321 sup_sdiff_self_right
0.000016    12322 sup_sdiff_self_left
0.000015    12323 inf_sdiff_self_left
0.000014    12324 sup_le_sup_right
0.000016    12325 sdiff_le_iff
0.000015    12326 set.diff_subset_iff
0.000016    12327 set.union_eq_self_of_subset_left
0.000015    12328 diff_subset_closure_iff
0.000014    12329 set.mem_diff
0.000017    12330 set.Ici_diff_left
0.000015    12331 inf_sdiff_left
0.000014    12332 sup_inf_inf_sdiff
0.000016    12333 inf_sdiff_sup_left
0.000016    12334 inf_sdiff_sup_right
0.000014    12335 sdiff_sdiff_right
0.000014    12336 sdiff_sdiff_right_self
0.000017    12337 sdiff_sdiff_eq_self
0.000015    12338 set.diff_diff_cancel_left
0.000016    12339 set.Ici_diff_Ioi_same
0.000015    12340 is_glb.frequently_mem
0.000016    12341 is_glb.frequently_nhds_mem
0.000015    12342 is_glb.mem_closure
0.000016    12343 is_lub_Iio
0.000015    12344 and.symm
0.000014    12345 order_dual.densely_ordered
0.000017    12346 is_glb_Ioi
0.000014    12347 closure_Ioi'
0.000017    12348 nhds_within_Ioi_ne_bot'
0.607277    12349 nhds_within_Ioi_self_ne_bot'
0.000077    12350 is_closed.Icc_subset_of_forall_mem_nhds_within
0.000024    12351 imp_eq_of_eq_true_left
0.000014    12352 set.union_is_comm
0.000015    12353 is_preconnected_Icc
0.000014    12354 is_preconnected_interval
0.000015    12355 is_preconnected_iff_ord_connected
0.000014    12356 set.ord_connected.is_preconnected
0.000014    12357 set.ord_connected_univ
0.000014    12358 ordered_connected_space
0.000014    12359 filter.eventually.exists
0.000015    12360 order_dual.nonempty
0.000013    12361 filter.at_bot_ne_bot
0.000014    12362 has_Sup_to_nonempty
0.000015    12363 filter.mem_at_bot
0.000013    12364 filter.eventually_le_at_bot
0.000019    12365 continuous.surjective
0.000019    12366 filter.tendsto_at_top
0.000017    12367 filter.monotone_mem_sets
0.000017    12368 filter.tendsto_at_top_mono'
0.000017    12369 filter.tendsto.at_top_mul_at_top
0.000017    12370 filter.tendsto_mul_self_at_top
0.000017    12371 filter.order_bot.at_bot_eq
0.000017    12372 filter.eventually_pure
0.000017    12373 nnreal.sqrt._proof_2
0.000015    12374 nnreal.sqrt
0.000015    12375 real.sqrt
0.000016    12376 complex.abs
0.000014    12377 nnreal.coe_nonneg
0.000017    12378 real.sqrt_nonneg
0.000015    12379 complex.abs_nonneg
0.000016    12380 real.sqrt.equations._eqn_1
0.000016    12381 nnreal.sqrt_eq_iff_sqr_eq
0.000014    12382 nnreal.sqrt_eq_zero
0.000016    12383 nnreal.sqrt_zero
0.000015    12384 real.sqrt_zero
0.000016    12385 order_iso.le_iff_le
0.000015    12386 real.sqrt_le
0.000017    12387 real.sqrt_inj
0.000015    12388 real.sqrt_eq_zero
0.000014    12389 complex.norm_sq_nonneg
0.000016    12390 complex.abs_eq_zero
0.000016    12391 mul_self_le_mul_self
0.000014    12392 nonneg_le_nonneg_of_squares_le
0.000016    12393 mul_self_le_mul_self_iff
0.000015    12394 order_iso.symm_apply_apply
0.000016    12395 nnreal.mul_sqrt_self
0.000016    12396 real.mul_self_sqrt
0.000016    12397 complex.mul_self_abs
0.000015    12398 add_mul_self_eq
0.000016    12399 tactic.ring.horner_add_horner_gt
0.000015    12400 complex.norm_sq_add
0.000016    12401 real.semigroup
0.000015    12402 complex.abs.equations._eqn_1
0.000016    12403 complex.norm_sq_mul
0.000015    12404 linear_ordered_comm_group_with_zero
0.000016    12405 linear_ordered_comm_group_with_zero.le
0.000015    12406 linear_ordered_comm_group_with_zero.lt
0.000017    12407 linear_ordered_comm_group_with_zero.le_refl
0.000014    12408 linear_ordered_comm_group_with_zero.le_trans
0.000017    12409 linear_ordered_comm_group_with_zero.lt_iff_le_not_le
0.000015    12410 linear_ordered_comm_group_with_zero.le_antisymm
0.000016    12411 linear_ordered_comm_group_with_zero.le_total
0.000016    12412 linear_ordered_comm_group_with_zero.decidable_le
0.000014    12413 linear_ordered_comm_group_with_zero.decidable_eq
0.000016    12414 linear_ordered_comm_group_with_zero.decidable_lt
0.000015    12415 linear_ordered_comm_group_with_zero.mul
0.000017    12416 linear_ordered_comm_group_with_zero.mul_assoc
0.000015    12417 linear_ordered_comm_group_with_zero.one
0.000016    12418 linear_ordered_comm_group_with_zero.one_mul
0.000015    12419 linear_ordered_comm_group_with_zero.mul_one
0.000016    12420 linear_ordered_comm_group_with_zero.npow
0.000015    12421 linear_ordered_comm_group_with_zero.npow_zero'
0.000015    12422 linear_ordered_comm_group_with_zero.npow_succ'
0.000016    12423 linear_ordered_comm_group_with_zero.mul_comm
0.000016    12424 linear_ordered_comm_group_with_zero.mul_le_mul_left
0.000014    12425 linear_ordered_comm_group_with_zero.lt_of_mul_lt_mul_left
0.000017    12426 linear_ordered_comm_group_with_zero.zero
0.000015    12427 linear_ordered_comm_group_with_zero.zero_mul
0.000014    12428 linear_ordered_comm_group_with_zero.mul_zero
0.000015    12429 linear_ordered_comm_group_with_zero.zero_le_one
0.000014    12430 linear_ordered_comm_group_with_zero.to_linear_ordered_comm_monoid_with_zero
0.000016    12431 canonically_linear_ordered_add_monoid.to_canonically_ordered_add_monoid
0.000015    12432 nnreal.linear_ordered_comm_group_with_zero._proof_1
0.000017    12433 linear_ordered_comm_monoid_with_zero.lt_of_mul_lt_mul_left._default
0.000017    12434 nnreal.linear_ordered_comm_group_with_zero._proof_2
0.000016    12435 nnreal.linear_ordered_comm_group_with_zero._proof_3
0.000014    12436 nnreal.linear_ordered_comm_group_with_zero
0.000016    12437 linear_ordered_comm_monoid.le_total
0.000015    12438 linear_ordered_comm_monoid.decidable_le
0.000017    12439 linear_ordered_comm_monoid.decidable_eq
0.000015    12440 linear_ordered_comm_monoid.decidable_lt
0.000016    12441 linear_ordered_comm_monoid.to_linear_order
0.000015    12442 linear_ordered_comm_monoid_with_zero.zero_le_one
0.000016    12443 zero_le_one'
0.000015    12444 zero_le'
0.000016    12445 le_zero_iff
0.000015    12446 nnreal.of_real_eq_zero
0.000028    12447 nnreal.of_real_mul
0.000016    12448 mul_mul_mul_comm
8.467856    12449 nnreal.sqrt_mul
0.000078    12450 real.sqrt_mul
0.000026    12451 complex.abs_mul
0.000054    12452 complex.norm_sq_conj
0.000016    12453 complex.abs_conj
0.000014    12454 complex.re_sq_le_norm_sq
0.000014    12455 complex.abs_re_le_abs
0.000015    12456 complex.re_le_abs
0.000013    12457 complex.abs_add
0.000014    12458 complex.abs.is_absolute_value
0.000015    12459 complex.sub_re
0.000014    12460 complex.is_cau_seq_re
0.000014    12461 complex.cau_seq_re
0.000015    12462 complex.sub_im
0.000014    12463 complex.im_sq_le_norm_sq
0.000015    12464 complex.abs_im_le_abs
0.000014    12465 complex.is_cau_seq_im
0.000014    12466 complex.cau_seq_im
0.000014    12467 complex.lim_aux
0.000019    12468 complex.I
0.000017    12469 complex.I_re
0.000015    12470 complex.I_im
0.000016    12471 complex.re_add_im
0.000015    12472 real.sqrt_mul_self
0.000015    12473 real.sqrt_mul_self_eq_abs
0.000016    12474 complex.abs_of_real
0.000015    12475 complex.norm_sq_I
0.000015    12476 nnreal.of_real_one
0.000014    12477 nnreal.sqrt_one
0.000016    12478 real.sqrt_one
0.000017    12479 complex.abs_I
0.000014    12480 complex.abs_le_abs_re_add_abs_im
0.000017    12481 complex.equiv_lim_aux
0.000015    12482 complex.abs.cau_seq.is_complete._proof_1
0.000014    12483 complex.abs.cau_seq.is_complete
0.000014    12484 nat.factorial._main
0.000014    12485 nat.factorial
0.000015    12486 is_cau_series_of_abv_le_cau
0.000016    12487 is_cau_series_of_abv_cau
0.000015    12488 monoid_with_zero_hom.to_monoid_hom
0.000017    12489 is_absolute_value.abv_pow
0.000015    12490 local_ring
0.000016    12491 local_ring.to_nontrivial
0.000015    12492 units.is_unit
0.000014    12493 is_unit.mk0
0.000014    12494 field.local_ring
0.000018    12495 neg_div
0.000015    12496 neg_div_neg_eq
0.000017    12497 lt_neg
0.000015    12498 nat.pred_lt
0.000017    12499 sub_nonpos
0.000015    12500 forall_ge_le_of_forall_le_succ
0.000017    12501 sub_add
0.000015    12502 is_cau_of_decreasing_bounded
0.000014    12503 is_cau_of_mono_bounded
0.000014    12504 norm_num.nonneg_pos
0.000014    12505 one_div_nonneg
0.000014    12506 div_le_div_of_le
0.000018    12507 add_neg_le_iff_le_add'
0.000015    12508 sub_le_self_iff
0.000016    12509 sub_le_self
0.000015    12510 sub_le_sub_left
0.000017    12511 is_cau_geo_series
0.000015    12512 is_cau_geo_series_const
0.000017    12513 series_ratio_test
0.000015    12514 complex.abs_abs
0.000014    12515 nat.factorial_succ
0.000014    12516 div_mul_div
0.000014    12517 div_div_eq_div_mul
0.000014    12518 mul_div_right_comm
0.000017    12519 complex.abs_div
0.000015    12520 complex.of_real
0.000017    12521 complex.of_real_nat_cast
0.000015    12522 complex.abs_of_nonneg
0.000014    12523 complex.abs_cast_nat
0.000014    12524 div_le_div_of_le_left
0.000016    12525 complex.is_cau_abs_exp
0.000017    12526 complex.is_cau_exp
0.000017    12527 complex.exp'
0.000016    12528 complex.exp
0.000018    12529 complex.cos
0.000015    12530 real.cos
0.000016    12531 intermediate_value_Icc'
0.000015    12532 bit0_le_bit0
0.000014    12533 norm_num.lt_one_bit0
0.000016    12534 norm_num.le_one_bit0
0.000015    12535 nondiscrete_normed_field
0.000016    12536 normed_space
0.000015    12537 nondiscrete_normed_field.to_normed_field
0.000017    12538 continuous_linear_map
0.000015    12539 normed_space.to_semimodule
0.000014    12540 asymptotics.is_o
0.000017    12541 continuous_linear_map.to_linear_map
0.000015    12542 continuous_linear_map.linear_map.has_coe
0.000016    12543 continuous_linear_map.to_fun
0.000015    12544 has_fderiv_at_filter
0.000014    12545 has_fderiv_at
0.000016    12546 differentiable_at
0.000016    12547 differentiable
0.000014    12548 has_vadd
0.000016    12549 has_vadd.vadd
0.000015    12550 add_action
0.000015    12551 has_vsub
0.000016    12552 add_action.to_has_vadd
0.000015    12553 has_vsub.vsub
0.000016    12554 add_torsor
0.000015    12555 add_torsor.nonempty
0.000015    12556 add_monoid.to_add_action._proof_1
0.000016    12557 add_monoid.to_add_action._proof_2
0.000015    12558 add_monoid.to_add_action
0.000016    12559 add_group_is_add_torsor._proof_1
0.000015    12560 add_group_is_add_torsor
0.000016    12561 asymptotics.is_o.equations._eqn_1
0.000015    12562 asymptotics.is_O_with_congr
0.000017    12563 asymptotics.is_O_with.congr'
0.000015    12564 asymptotics.is_O_with.congr
0.000017    12565 asymptotics.is_O_with.congr_const
0.000016    12566 asymptotics.is_O_with.trans
0.000014    12567 asymptotics.is_o.trans_is_O_with
0.000016    12568 asymptotics.is_O_with_iff
0.000015    12569 asymptotics.is_O_with.of_bound
0.000016    12570 asymptotics.is_O_with.bound
0.000016    12571 asymptotics.is_O_with.weaken
0.000014    12572 asymptotics.is_O_with.exists_pos
0.000016    12573 asymptotics.is_O_iff_is_O_with
0.000015    12574 asymptotics.is_O.is_O_with
0.000016    12575 asymptotics.is_O.exists_pos
0.000015    12576 asymptotics.is_o.trans_is_O
0.000015    12577 normed_ring.to_normed_group._proof_1
0.000016    12578 normed_ring.to_normed_group._proof_2
0.000015    12579 normed_ring.to_normed_group._proof_3
0.000017    12580 normed_ring.to_normed_group._proof_4
0.000015    12581 normed_ring.to_normed_group._proof_5
0.000014    12582 normed_ring.to_normed_group._proof_6
2.265495    12583 normed_ring.to_normed_group._proof_7
0.000078    12584 normed_ring.to_normed_group._proof_8
0.000024    12585 normed_ring.to_normed_group
0.000015    12586 asymptotics.is_O_with.is_O
0.000014    12587 norm_one_class
0.000014    12588 norm_one_class.norm_one
0.000014    12589 metric_space.eq_of_dist_eq_zero
0.000014    12590 eq_of_dist_eq_zero
0.000014    12591 dist_eq_zero
0.000014    12592 norm_eq_zero
0.000014    12593 normed_field.to_norm_one_class
0.000014    12594 asymptotics.is_O_with_const_const
0.000014    12595 asymptotics.is_O_with_const_one
0.000014    12596 asymptotics.is_O_const_one
0.000014    12597 asymptotics.is_O_const_const
0.000018    12598 asymptotics.is_o_const_iff_is_o_one
0.000017    12599 metric.closed_ball
0.000017    12600 metric.mk_uniformity_basis_le
0.000015    12601 metric.uniformity_basis_dist_le
0.000017    12602 metric.nhds_basis_closed_ball
0.000017    12603 metric.mem_closed_ball
0.000016    12604 asymptotics.is_o_const_iff
0.000018    12605 asymptotics.is_o_one_iff
0.000015    12606 asymptotics.is_O_with.trans_is_o
0.000015    12607 asymptotics.is_O.trans_is_o
0.000016    12608 asymptotics.is_O.trans_tendsto
0.000026    12609 asymptotics.is_O_congr
0.000016    12610 asymptotics.is_O.congr'
0.000015    12611 asymptotics.is_O.congr
0.000017    12612 asymptotics.is_O.congr_left
0.000016    12613 asymptotics.is_O_with.add
0.000016    12614 asymptotics.is_O.add
0.000018    12615 norm_neg
0.000018    12616 asymptotics.is_O_with_neg_left
0.000017    12617 asymptotics.is_O_neg_left
0.000015    12618 asymptotics.is_O.neg_left
0.000014    12619 asymptotics.is_O.sub
0.000014    12620 asymptotics.is_O.congr_of_sub
0.000016    12621 asymptotics.is_o_iff
0.000015    12622 asymptotics.is_o.def'
0.000016    12623 asymptotics.is_o.is_O_with
0.000017    12624 asymptotics.is_o.is_O
0.000017    12625 asymptotics.is_O_with.comp_tendsto
0.000015    12626 asymptotics.is_O.comp_tendsto
0.000016    12627 asymptotics.is_O_with_of_le'
0.000015    12628 asymptotics.is_O_of_le'
0.000016    12629 metric.tendsto_nhds_nhds
0.000015    12630 normed_group.tendsto_nhds_nhds
0.000015    12631 nondiscrete_normed_field.non_trivial
0.000016    12632 normed_field.exists_one_lt_norm
0.000015    12633 semi_normed_space
0.000016    12634 semi_normed_space.to_semimodule
0.000015    12635 fpow._main
0.000015    12636 fpow
0.000015    12637 int.has_pow
0.000016    12638 pow_unbounded_of_one_lt
0.000015    12639 int.of_nat_nonneg
0.000016    12640 fpow_neg_succ_of_nat
0.000015    12641 inv_le_one
0.000014    12642 one_le_pow_of_one_le
0.000016    12643 fpow_le_of_le
0.000015    12644 int.lt_succ
0.000016    12645 fpow_neg
0.000015    12646 le_inv
0.000016    12647 inv_lt
0.000014    12648 exists_int_pow_near
0.000017    12649 ne.le_iff_lt
0.000015    12650 dist_le_zero
0.000016    12651 dist_pos
0.000015    12652 norm_pos_iff
0.000016    12653 monoid_with_zero_hom.map_fpow
0.000014    12654 normed_field.norm_hom._proof_1
0.000017    12655 normed_field.norm_hom._proof_2
0.000014    12656 normed_field.norm_hom
0.000017    12657 normed_field.norm_fpow
0.000014    12658 semi_normed_space.norm_smul_le
0.000017    12659 smul_smul
0.000014    12660 units.inv_smul_smul
0.000014    12661 inv_smul_smul'
0.000017    12662 normed_field.norm_inv
0.000015    12663 norm_smul
0.000016    12664 fpow_zero
0.000015    12665 fpow_coe_nat
0.000014    12666 fpow_one
0.000016    12667 fpow_add_one
0.000015    12668 fpow_sub_one
0.000015    12669 fpow_add
0.000016    12670 fpow_pos_of_pos
0.000015    12671 rescale_to_shell_semi_normed
0.000015    12672 normed_space.norm_smul_le
0.000016    12673 normed_space.to_semi_normed_space
0.000015    12674 rescale_to_shell
0.000014    12675 linear_map.bound_of_shell
0.000017    12676 div_le_iff'
0.000015    12677 one_div_div
0.000014    12678 linear_map.bound_of_continuous
0.000016    12679 continuous_linear_map.cont
0.000015    12680 continuous_linear_map.bound
0.000017    12681 continuous_linear_map.is_O_id
0.000014    12682 continuous_linear_map.is_O_comp
0.000016    12683 continuous_linear_map.is_O_sub
0.000015    12684 has_fderiv_at_filter.is_O_sub
0.000016    12685 has_fderiv_at_filter.tendsto_nhds
0.000014    12686 has_fderiv_at.continuous_at
0.000016    12687 differentiable_at.continuous_at
0.000015    12688 differentiable.continuous
0.000017    12689 real.nondiscrete_normed_field._proof_1
0.000015    12690 real.nondiscrete_normed_field
0.000014    12691 normed_field.to_normed_space._proof_1
0.000016    12692 normed_field.to_normed_space
0.000016    12693 is_scalar_tower
0.000016    12694 has_continuous_smul
0.000015    12695 linear_map.smul_right._proof_1
0.000014    12696 is_scalar_tower.smul_assoc
0.000016    12697 smul_assoc
0.000015    12698 linear_map.smul_right._proof_2
0.000016    12699 linear_map.smul_right
0.000015    12700 continuous_linear_map.smul_right._proof_1
0.000016    12701 continuous_linear_map.smul_right._proof_2
0.000015    12702 has_continuous_smul.continuous_smul
0.000016    12703 continuous.smul
0.000015    12704 continuous_linear_map.smul_right._proof_3
0.000014    12705 continuous_linear_map.smul_right
0.000017    12706 is_scalar_tower.left
0.749229    12707 has_deriv_at_filter._proof_1
0.000079    12708 smul_neg
0.000024    12709 smul_sub
0.000014    12710 module
0.000015    12711 neg_smul
0.000014    12712 sub_smul
0.000015    12713 semi_normed_space.has_continuous_smul
0.000014    12714 has_deriv_at_filter._proof_2
0.000014    12715 linear_map.id._proof_1
0.000014    12716 linear_map.id._proof_2
0.000014    12717 linear_map.id
0.000015    12718 continuous_linear_map.id
0.000014    12719 continuous_linear_map.has_one
0.000014    12720 has_deriv_at_filter
0.000014    12721 has_deriv_at
0.000015    12722 has_fderiv_at.differentiable_at
0.000014    12723 has_deriv_at.differentiable_at
0.000014    12724 complex.sin
0.000018    12725 real.sin
0.000018    12726 normed_group.core
0.000017    12727 semi_normed_group.core
0.000018    12728 semi_normed_group.core.norm_zero
0.000015    12729 semi_normed_group.of_core._proof_1
0.000016    12730 semi_normed_group.core.norm_neg
0.000017    12731 semi_normed_group.of_core._proof_2
0.000015    12732 semi_normed_group.core.triangle
0.000016    12733 semi_normed_group.of_core._proof_3
0.000017    12734 semi_normed_group.of_core._proof_4
0.000017    12735 semi_normed_group.of_core._proof_5
0.000015    12736 semi_normed_group.of_core._proof_6
0.000015    12737 semi_normed_group.of_core._proof_7
0.000016    12738 semi_normed_group.of_core._proof_8
0.000015    12739 semi_normed_group.of_core._proof_9
0.000017    12740 semi_normed_group.of_core
0.000017    12741 normed_group.core.norm_eq_zero_iff
0.000015    12742 normed_group.core.triangle
0.000016    12743 normed_group.core.norm_neg
0.000017    12744 normed_group.core.to_semi_normed_group.core
0.000015    12745 normed_group.of_core._proof_1
0.000016    12746 normed_group.of_core._proof_2
0.000016    12747 normed_group.of_core
0.000014    12748 complex.has_norm
0.000016    12749 complex.abs_neg
0.000015    12750 complex.normed_group._proof_1
0.000017    12751 complex.normed_group
0.000015    12752 complex.normed_field._proof_1
0.000015    12753 complex.normed_field
0.000016    12754 complex.of_real_bit0
0.000015    12755 complex.abs_two
0.000015    12756 complex.nondiscrete_normed_field._proof_1
0.000016    12757 complex.nondiscrete_normed_field
0.000016    12758 complex.has_scalar
0.000014    12759 complex.smul_re
0.000016    12760 complex.smul_im
0.000015    12761 complex.mul_action._proof_1
0.000016    12762 complex.mul_action._proof_2
0.000015    12763 complex.mul_action
0.000017    12764 complex.distrib_mul_action._proof_1
0.000015    12765 complex.distrib_mul_action._proof_2
0.000016    12766 complex.distrib_mul_action
0.000015    12767 complex.semimodule._proof_1
0.000017    12768 complex.semimodule._proof_2
0.000015    12769 complex.semimodule
0.000016    12770 linear_isometry
0.000015    12771 linear_isometry.to_linear_map
0.000016    12772 linear_isometry.has_coe_to_fun
0.000015    12773 isometry
0.000015    12774 lipschitz_with.continuous
0.000016    12775 isometry.lipschitz
0.000015    12776 isometry.continuous
0.000014    12777 ennreal.to_real_of_real
0.000017    12778 dist_edist
0.000015    12779 isometry_emetric_iff_metric
0.000016    12780 add_monoid_hom.map_add_neg
0.000015    12781 add_monoid_hom.map_sub
0.000015    12782 add_monoid_hom.isometry_iff_norm
0.000016    12783 add_monoid_hom.isometry_of_norm
0.000027    12784 linear_map.to_add_monoid_hom
0.000016    12785 linear_isometry.norm_map'
0.000014    12786 linear_isometry.norm_map
0.000018    12787 linear_isometry.isometry
0.000016    12788 linear_isometry.continuous
0.000016    12789 linear_isometry.to_continuous_linear_map
0.000015    12790 algebra
0.000014    12791 algebra.to_has_scalar
0.000017    12792 algebra.to_ring_hom
0.000015    12793 algebra_map
0.000014    12794 algebra.smul_def'
0.000016    12795 algebra.smul_def''
0.000015    12796 algebra.to_semimodule._proof_1
0.000016    12797 algebra.to_semimodule._proof_2
0.000015    12798 algebra.to_semimodule._proof_3
0.000017    12799 algebra.to_semimodule._proof_4
0.000015    12800 algebra.to_semimodule._proof_5
0.000014    12801 algebra.to_semimodule._proof_6
0.000017    12802 algebra.to_semimodule
0.000014    12803 ring_hom.to_algebra'._proof_1
0.000017    12804 ring_hom.to_algebra'
0.000015    12805 ring_hom.to_algebra._proof_1
0.000015    12806 ring_hom.to_algebra
0.000016    12807 algebra.id
0.000015    12808 algebra.smul_def
0.000016    12809 algebra.id.map_eq_self
0.000015    12810 complex.algebra._proof_1
0.000015    12811 complex.algebra._proof_2
0.000014    12812 complex.algebra._proof_3
0.000016    12813 complex.algebra._proof_4
0.000015    12814 ring_hom.to_fun_eq_coe
0.000017    12815 ring_hom.coe_comp
0.000015    12816 complex.of_real_eq_coe
0.000014    12817 algebra.commutes'
0.000016    12818 algebra.commutes
0.000016    12819 complex.algebra._match_1
0.000014    12820 complex.algebra._proof_5
0.000016    12821 complex.algebra._proof_6
0.000015    12822 complex.algebra
0.000016    12823 complex.coe_algebra_map
0.000016    12824 complex.of_real_inj
0.000014    12825 complex.of_real_eq_zero
0.000016    12826 complex.of_real_lm._proof_1
0.000016    12827 complex.of_real_lm
0.000014    12828 complex.of_real_lm_coe
0.000017    12829 complex.norm_real
1.360990    12830 complex.of_real_li._proof_1
0.000075    12831 complex.of_real_li
0.000024    12832 complex.of_real_clm
0.000015    12833 continuous_linear_map.comp._proof_1
0.000014    12834 continuous_linear_map.comp
0.000015    12835 semi_normed_comm_ring.to_comm_ring._proof_1
0.000014    12836 semi_normed_comm_ring.to_comm_ring._proof_2
0.000015    12837 semi_normed_comm_ring.to_comm_ring._proof_3
0.000014    12838 semi_normed_comm_ring.to_comm_ring._proof_4
0.000014    12839 semi_normed_comm_ring.to_comm_ring._proof_5
0.000015    12840 semi_normed_comm_ring.to_comm_ring._proof_6
0.000014    12841 semi_normed_comm_ring.to_comm_ring._proof_7
0.000014    12842 semi_normed_comm_ring.to_comm_ring._proof_8
0.000014    12843 semi_normed_comm_ring.to_comm_ring._proof_9
0.000014    12844 semi_normed_comm_ring.to_comm_ring._proof_10
0.000015    12845 semi_normed_comm_ring.to_comm_ring._proof_11
0.000014    12846 semi_normed_comm_ring.to_comm_ring._proof_12
0.000014    12847 semi_normed_comm_ring.to_comm_ring._proof_13
0.000017    12848 semi_normed_comm_ring.to_comm_ring._proof_14
0.000017    12849 semi_normed_comm_ring.to_comm_ring._proof_15
0.000017    12850 semi_normed_comm_ring.mul_comm
0.000015    12851 semi_normed_comm_ring.to_comm_ring
0.000016    12852 normed_algebra
0.000017    12853 normed_ring.to_semi_normed_ring
0.000015    12854 semi_normed_algebra
0.000016    12855 semi_normed_algebra.to_algebra
0.000017    12856 semi_normed_algebra.norm_algebra_map_eq
0.000015    12857 norm_algebra_map_eq
0.000016    12858 semi_normed_algebra.to_semi_normed_space._proof_1
0.000015    12859 semi_normed_algebra.to_semi_normed_space
0.000017    12860 normed_algebra.to_algebra
0.000017    12861 normed_algebra.norm_algebra_map_eq
0.000017    12862 normed_algebra.to_semi_normed_algebra
0.000017    12863 normed_algebra.to_normed_space._proof_1
0.000017    12864 normed_algebra.to_normed_space
0.000016    12865 complex.normed_algebra._proof_1
0.000017    12866 complex.normed_algebra
0.000015    12867 normed_algebra.id._proof_1
0.000016    12868 normed_algebra.id._proof_2
0.000015    12869 normed_algebra.id._proof_3
0.000014    12870 normed_algebra.id
0.000016    12871 lipschitz_with.equations._eqn_1
0.000015    12872 dist_nndist
0.000017    12873 lipschitz_with_iff_dist_le_mul
0.000014    12874 lipschitz_with.of_dist_le_mul
0.000016    12875 nnreal.le_coe_of_real
0.000016    12876 lipschitz_with.of_dist_le'
0.000014    12877 linear_map.map_sub
0.000016    12878 linear_map.lipschitz_of_bound
0.000015    12879 linear_map.continuous_of_bound
0.000017    12880 linear_map.mk_continuous
0.000015    12881 complex.smul_coe
0.000016    12882 complex.re_lm._proof_1
0.000015    12883 complex.re_lm
0.000014    12884 complex.re_lm_coe
0.000017    12885 real.norm_eq_abs
0.000015    12886 complex.norm_eq_abs
0.000014    12887 complex.re_clm._proof_1
0.000016    12888 complex.re_clm
0.000015    12889 linear_map.compatible_smul
0.000015    12890 linear_map.compatible_smul.map_smul
0.000016    12891 linear_map.map_smul_of_tower
0.000016    12892 linear_map.restrict_scalars._proof_1
0.000014    12893 linear_map.restrict_scalars
0.000016    12894 continuous_linear_map.continuous
0.000015    12895 continuous_linear_map.restrict_scalars._proof_1
0.000015    12896 continuous_linear_map.restrict_scalars
0.000016    12897 smul_one_smul
0.000015    12898 linear_map.is_scalar_tower.compatible_smul._proof_1
0.000014    12899 linear_map.is_scalar_tower.compatible_smul
0.000014    12900 restrict_scalars
0.000014    12901 restrict_scalars.add_comm_monoid
0.000017    12902 mul_action_with_zero.comp_hom._proof_1
0.000015    12903 mul_action_with_zero.comp_hom._proof_2
0.000017    12904 zero_hom
0.000017    12905 zero_hom.to_fun
0.000015    12906 zero_hom.has_coe_to_fun
0.000016    12907 smul_with_zero.smul_zero
0.000015    12908 smul_zero'
0.000016    12909 smul_with_zero.comp_hom._proof_1
0.000015    12910 zero_hom.map_zero'
0.000016    12911 zero_hom.map_zero
0.000015    12912 smul_with_zero.comp_hom._proof_2
0.000017    12913 smul_with_zero.comp_hom
0.000014    12914 monoid_with_zero_hom.to_zero_hom
0.000017    12915 mul_action_with_zero.comp_hom._proof_3
0.000014    12916 mul_action_with_zero.comp_hom._proof_4
0.000017    12917 mul_action_with_zero.comp_hom
0.000014    12918 semimodule.comp_hom._proof_1
0.000017    12919 semimodule.comp_hom._proof_2
0.000015    12920 mul_action.comp_hom._proof_1
0.000014    12921 mul_action.comp_hom._proof_2
0.000017    12922 mul_action.comp_hom
0.000014    12923 distrib_mul_action.comp_hom._proof_1
0.000017    12924 distrib_mul_action.comp_hom._proof_2
0.000015    12925 distrib_mul_action.comp_hom._proof_3
0.000014    12926 distrib_mul_action.comp_hom._proof_4
0.000016    12927 distrib_mul_action.comp_hom
0.000016    12928 semimodule.comp_hom._proof_3
0.000014    12929 semimodule.comp_hom._proof_4
0.000016    12930 semimodule.comp_hom._proof_5
0.000015    12931 semimodule.comp_hom._proof_6
0.000016    12932 semimodule.comp_hom
1.066999    12933 restrict_scalars.module_orig
0.000077    12934 restrict_scalars.semimodule
0.000023    12935 module.complex_to_real
0.000015    12936 restrict_scalars.is_scalar_tower
0.000014    12937 module.real_complex_tower
0.000015    12938 complex.of_real_clm_apply
0.000014    12939 continuous_linear_map.coe_comp'
0.000014    12940 continuous_linear_map.coe_restrict_scalars'
0.000014    12941 continuous_linear_map.smul_right_apply
0.000014    12942 continuous_linear_map.one_apply
0.000014    12943 complex.re_clm_apply
0.000014    12944 has_deriv_at_filter.equations._eqn_1
0.000014    12945 continuous_linear_map.cases_on
0.000014    12946 continuous_linear_map.coe_injective
0.000014    12947 continuous_linear_map.coe_inj
0.000014    12948 linear_map.cases_on
0.000017    12949 linear_map.coe_injective
0.000015    12950 linear_map.ext
0.000017    12951 smul_eq_mul
0.000017    12952 linear_map.ext_ring
0.000015    12953 continuous_linear_map.ext_ring
0.000016    12954 continuous_linear_map.map_smul_of_tower
0.000018    12955 continuous_linear_map.smul_right_one_one
0.000015    12956 has_fderiv_at_filter_iff_has_deriv_at_filter
0.000014    12957 has_fderiv_at_iff_has_deriv_at
0.000017    12958 has_fderiv_at.has_deriv_at
0.000016    12959 asymptotics.is_o_iff_forall_is_O_with
0.000015    12960 asymptotics.is_o.of_is_O_with
0.000017    12961 asymptotics.is_o.forall_is_O_with
0.000018    12962 asymptotics.is_o.comp_tendsto
0.000017    12963 filter.tendsto_map
0.000015    12964 asymptotics.is_o_congr
0.000016    12965 asymptotics.is_o.congr'
0.000015    12966 asymptotics.is_o.congr
0.000017    12967 asymptotics.is_o.congr_left
0.000017    12968 asymptotics.is_o.add
0.000015    12969 asymptotics.is_o.triangle
0.000018    12970 continuous_linear_map.map_sub
0.000017    12971 has_fderiv_at_filter.comp
0.000017    12972 asymptotics.is_O_with.mono
0.000015    12973 asymptotics.is_o.mono
0.000016    12974 has_fderiv_at_filter.mono
0.000015    12975 has_fderiv_at.comp
0.000016    12976 asymptotics.is_o.of_bound
0.000015    12977 asymptotics.is_o_zero
0.000017    12978 continuous_linear_map.has_fderiv_at_filter
0.000015    12979 continuous_linear_map.has_fderiv_at
0.000014    12980 has_fderiv_at.restrict_scalars
0.000016    12981 has_deriv_at_iff_has_fderiv_at
0.000015    12982 has_deriv_at.has_fderiv_at
0.000014    12983 has_deriv_at.real_of_complex
0.000017    12984 has_strict_fderiv_at
0.000015    12985 has_strict_deriv_at._proof_1
0.000014    12986 has_strict_deriv_at._proof_2
0.000015    12987 has_strict_deriv_at
0.000016    12988 has_fderiv_at.equations._eqn_1
0.000015    12989 has_fderiv_at_filter.equations._eqn_1
0.000016    12990 has_strict_fderiv_at.has_fderiv_at
0.000015    12991 has_strict_deriv_at.has_deriv_at
0.000017    12992 complex.sin.equations._eqn_1
0.000017    12993 linear_map.has_add._proof_1
0.000015    12994 linear_map.has_add._proof_2
0.000016    12995 linear_map.has_add
0.000017    12996 continuous_linear_map.has_add._proof_1
0.000015    12997 continuous_linear_map.has_add
0.000015    12998 smul_comm_class
0.000016    12999 linear_map.has_scalar._proof_1
0.000016    13000 smul_comm_class.smul_comm
0.000015    13001 linear_map.has_scalar._proof_2
0.000016    13002 linear_map.has_scalar
0.000019    13003 continuous_linear_map.has_scalar._proof_1
0.000015    13004 continuous_linear_map.has_scalar
0.000016    13005 algebra_compatible_smul
0.000015    13006 is_scalar_tower.to_smul_comm_class
0.000015    13007 continuous_linear_map.add_apply
0.000016    13008 smul_comm_class_self
0.000015    13009 continuous_linear_map.coe_smul'
0.000015    13010 has_strict_fderiv_at.equations._eqn_1
0.000016    13011 has_strict_deriv_at.equations._eqn_1
0.000015    13012 has_strict_fderiv_at_iff_has_strict_deriv_at
0.000016    13013 has_strict_fderiv_at.has_strict_deriv_at
0.000015    13014 continuous_at.prod
0.000015    13015 continuous_at.comp
0.000016    13016 continuous_at.prod_map
0.000015    13017 continuous_at.prod_map'
0.000016    13018 has_strict_fderiv_at.continuous_at
0.000015    13019 has_strict_fderiv_at.is_O_sub
0.000016    13020 has_strict_fderiv_at.comp
0.000015    13021 prod.has_add
0.000014    13022 prod.add_semigroup._proof_1
0.000017    13023 prod.add_semigroup
0.000015    13024 prod.add_comm_semigroup._proof_1
0.000016    13025 prod.add_comm_semigroup._proof_2
0.000015    13026 prod.add_comm_semigroup
0.000014    13027 prod.add_comm_group._proof_1
0.000016    13028 prod.add_monoid._proof_1
0.000015    13029 prod.has_zero
0.000017    13030 prod.rec_on
0.000015    13031 prod.add_zero_class._proof_1
0.000014    13032 prod.add_zero_class._proof_2
0.000016    13033 prod.add_zero_class
0.000015    13034 prod.add_monoid._proof_2
0.000025    13035 prod.add_monoid._proof_3
0.000019    13036 prod.add_monoid._proof_4
0.000015    13037 prod.add_monoid._proof_5
0.000014    13038 prod.add_monoid._proof_6
0.000014    13039 prod.add_monoid._proof_7
0.000014    13040 prod.add_monoid
0.000014    13041 prod.add_group._proof_1
0.000017    13042 prod.add_group._proof_2
0.000015    13043 prod.add_group._proof_3
0.533732    13044 prod.add_group._proof_4
0.000079    13045 prod.add_group._proof_5
0.000024    13046 prod.has_neg
0.000014    13047 prod.has_sub
0.000015    13048 prod.add_group._proof_6
0.000014    13049 prod.add_group._proof_7
0.000015    13050 prod.add_group
0.000014    13051 prod.add_comm_group._proof_2
0.000014    13052 prod.add_comm_group._proof_3
0.000014    13053 prod.add_comm_group._proof_4
0.000014    13054 prod.add_comm_group._proof_5
0.000015    13055 prod.add_comm_group._proof_6
0.000014    13056 prod.add_comm_group._proof_7
0.000015    13057 prod.add_comm_group._proof_8
0.000015    13058 prod.add_comm_group
0.000019    13059 prod.fst_sub
0.000017    13060 prod.snd_sub
0.000017    13061 prod.semi_normed_group._proof_1
0.000015    13062 prod.semi_normed_group
0.000015    13063 prod.metric_space_max._proof_1
0.000016    13064 prod.metric_space_max._proof_2
0.000017    13065 prod.metric_space_max._proof_3
0.000017    13066 prod.metric_space_max._proof_4
0.000019    13067 prod.metric_space_max._proof_5
0.000015    13068 prod.metric_space_max._proof_6
0.000016    13069 prod.metric_space_max
0.000017    13070 prod.normed_group._proof_1
0.000017    13071 prod.normed_group
0.000015    13072 prod.add_comm_monoid._proof_1
0.000015    13073 prod.add_comm_monoid._proof_2
0.000016    13074 prod.add_comm_monoid._proof_3
0.000015    13075 prod.add_comm_monoid._proof_4
0.000016    13076 prod.add_comm_monoid._proof_5
0.000015    13077 prod.add_comm_monoid._proof_6
0.000014    13078 prod.add_comm_monoid
0.000014    13079 prod.has_scalar
0.000014    13080 prod.mul_action._match_1
0.000016    13081 prod.mul_action._proof_1
0.000015    13082 prod.mul_action._proof_2
0.000017    13083 prod.mul_action
0.000017    13084 prod.distrib_mul_action._proof_1
0.000015    13085 prod.distrib_mul_action._proof_2
0.000016    13086 prod.distrib_mul_action
0.000015    13087 prod.semimodule._proof_1
0.000015    13088 prod.semimodule._proof_2
0.000016    13089 prod.semimodule._proof_3
0.000015    13090 prod.semimodule._match_1
0.000014    13091 prod.semimodule._proof_4
0.000017    13092 prod.semimodule
0.000015    13093 prod.semi_normed_space._proof_1
0.000014    13094 prod.semi_normed_space._proof_2
0.000017    13095 prod.semi_norm_def
0.000014    13096 prod.smul_fst
0.000017    13097 prod.smul_snd
0.000015    13098 monotone_mul_left_of_nonneg
0.000016    13099 mul_max_of_nonneg
0.000015    13100 prod.semi_normed_space._proof_3
0.000016    13101 prod.semi_normed_space
0.000016    13102 prod.normed_space._proof_1
0.000014    13103 prod.normed_space
0.000016    13104 prod.mk_add_mk
0.000015    13105 linear_map.prod._proof_1
0.000016    13106 prod.smul_mk
0.000016    13107 linear_map.prod._proof_2
0.000014    13108 linear_map.prod
0.000016    13109 continuous_linear_map.prod._proof_1
0.000016    13110 continuous_linear_map.prod
0.000014    13111 is_bounded_bilinear_map
0.000016    13112 linear_map.mk_continuous_of_exists_bound._match_1
0.000015    13113 linear_map.mk_continuous_of_exists_bound
0.000017    13114 is_bounded_bilinear_map.add_right
0.000015    13115 is_bounded_bilinear_map.add_left
0.000014    13116 is_bounded_bilinear_map.linear_deriv._proof_1
0.000017    13117 is_bounded_bilinear_map.smul_right
0.000015    13118 is_bounded_bilinear_map.smul_left
0.000014    13119 is_bounded_bilinear_map.linear_deriv._proof_2
0.000017    13120 is_bounded_bilinear_map.linear_deriv
0.000015    13121 is_bounded_bilinear_map.bound
0.000014    13122 is_bounded_bilinear_map.deriv._proof_1
0.000016    13123 is_bounded_bilinear_map.deriv
0.000015    13124 smul_comm_class.symm
0.000017    13125 is_scalar_tower.to_smul_comm_class'
0.000014    13126 smul_algebra_smul_comm
0.000017    13127 is_bounded_bilinear_map_smul
0.000015    13128 asymptotics.is_o_neg_left
0.000014    13129 asymptotics.is_o.neg_left
0.000017    13130 asymptotics.is_o.sub
0.000015    13131 asymptotics.is_o.congr_of_sub
0.000016    13132 prod.mk_sub_mk
0.000015    13133 is_bounded_bilinear_map.map_sub_right
0.000016    13134 is_bounded_bilinear_map.map_sub_left
0.000015    13135 is_bounded_bilinear_map_deriv_coe
0.000014    13136 metric_space.induced._proof_1
0.000017    13137 metric_space.induced._proof_2
0.000014    13138 metric_space.induced._proof_3
0.000017    13139 metric_space.induced._proof_4
0.000015    13140 metric_space.induced._proof_5
0.000016    13141 metric_space.induced._proof_6
0.000015    13142 metric_space.induced
0.000016    13143 int.cast_eq_zero
0.000015    13144 int.cast_inj
0.000016    13145 int.cast_injective
0.000015    13146 int.metric_space._proof_1
0.000017    13147 emetric_space.to_uniform_space'
0.000015    13148 metric.metric_space.to_emetric_space._proof_1
0.000016    13149 metric.metric_space.to_emetric_space._proof_2
0.000015    13150 metric.metric_space.to_emetric_space._proof_3
0.000016    13151 metric.metric_space.to_emetric_space._proof_4
0.000015    13152 ennreal.of_real_eq_zero
0.000016    13153 metric.metric_space.to_emetric_space._proof_5
0.000015    13154 metric.metric_space.to_emetric_space
1.011664    13155 metric_space.replace_uniformity._proof_1
0.000076    13156 metric_space.replace_uniformity._proof_2
0.000025    13157 metric_space.replace_uniformity._proof_3
0.000015    13158 metric_space.replace_uniformity._proof_4
0.000014    13159 metric_space.replace_uniformity._proof_5
0.000015    13160 metric_space.replace_uniformity
0.000014    13161 int.uniform_space
0.000014    13162 int.cast_mono
0.000015    13163 int.cast_max
0.000014    13164 int.cast_abs
0.000014    13165 int.lt_add_one_iff
0.000014    13166 int.coe_nat_one
0.000014    13167 strict_mono_of_le_iff_le
0.000014    13168 int.cast_strict_mono
0.000017    13169 int.cast_lt
0.000015    13170 int.metric_space._proof_2
0.000018    13171 int.metric_space
0.000015    13172 int.dist_eq
0.000017    13173 int.normed_comm_ring._proof_1
0.000015    13174 int.normed_comm_ring._proof_2
0.000015    13175 int.normed_comm_ring
0.000016    13176 continuous_linear_map.add_comm_group._proof_1
0.000017    13177 function.injective.comp
0.000015    13178 continuous_linear_map.coe_fn_injective
0.000016    13179 continuous_linear_map.ext
0.000018    13180 continuous_linear_map.add_comm_monoid._proof_1
0.000017    13181 linear_map.has_zero._proof_1
0.000018    13182 linear_map.has_zero._proof_2
0.000015    13183 linear_map.has_zero
0.000016    13184 continuous_linear_map.has_zero._proof_1
0.000018    13185 continuous_linear_map.has_zero
0.000015    13186 continuous_linear_map.add_comm_monoid._proof_2
0.000016    13187 continuous_linear_map.add_comm_monoid._proof_3
0.000019    13188 continuous_linear_map.map_add
0.000016    13189 continuous_linear_map.add_comm_monoid._proof_4
0.000017    13190 continuous_linear_map.map_smul
0.000015    13191 add_comm_monoid.nat_smul_comm_class
0.000016    13192 continuous_linear_map.add_comm_monoid._proof_5
0.000015    13193 continuous_linear_map.continuous_nsmul
0.000016    13194 continuous_linear_map.continuous.nsmul
0.000015    13195 continuous_linear_map.add_comm_monoid._proof_6
0.000044    13196 continuous_linear_map.coe_mk'
0.000016    13197 linear_map.coe_mk
0.000014    13198 continuous_linear_map.zero_apply
0.000014    13199 continuous_linear_map.add_comm_monoid._proof_7
0.000015    13200 continuous_linear_map.add_comm_monoid._proof_8
0.000017    13201 continuous_linear_map.add_comm_monoid._proof_9
0.000015    13202 continuous_linear_map.add_comm_monoid
0.000016    13203 continuous_linear_map.add_comm_group._proof_2
0.000015    13204 continuous_linear_map.add_comm_group._proof_3
0.000017    13205 continuous_linear_map.add_comm_group._proof_4
0.000014    13206 continuous_linear_map.add_comm_group._proof_5
0.000017    13207 continuous_linear_map.add_comm_group._proof_6
0.000015    13208 continuous_linear_map.add_comm_group._proof_7
0.000016    13209 linear_map.has_neg._proof_1
0.000015    13210 linear_map.has_neg._proof_2
0.000016    13211 linear_map.has_neg
0.000015    13212 continuous_linear_map.has_neg._proof_1
0.000016    13213 continuous_linear_map.has_neg
0.000015    13214 linear_map.has_sub._proof_1
0.000016    13215 linear_map.has_sub._proof_2
0.000015    13216 linear_map.has_sub
0.000016    13217 continuous.sub
0.000015    13218 continuous_linear_map.has_sub._proof_1
0.000016    13219 continuous_linear_map.has_sub
0.000015    13220 continuous_linear_map.add_comm_group._proof_8
0.000017    13221 continuous_linear_map.add_comm_group._proof_9
0.000015    13222 continuous_linear_map.add_comm_group._proof_10
0.000016    13223 continuous_linear_map.add_comm_group
0.000015    13224 continuous_linear_map.to_normed_group._proof_1
0.000016    13225 continuous_linear_map.op_norm
0.000015    13226 continuous_linear_map.has_op_norm
0.000016    13227 norm_le_zero_iff
0.000015    13228 continuous_linear_map.map_zero
0.000016    13229 continuous_linear_map.bounds_nonempty
0.000015    13230 continuous_linear_map.bounds_bdd_below
0.000015    13231 continuous_linear_map.le_op_norm
0.000016    13232 continuous_linear_map.op_norm_nonneg
0.000015    13233 continuous_linear_map.op_norm_zero_iff
0.000016    13234 continuous_linear_map.op_norm_le_bound
0.000015    13235 lipschitz_with.dist_le_mul
0.000014    13236 continuous_linear_map.op_norm_le_of_lipschitz
0.000017    13237 continuous_linear_map.lipschitz
0.000015    13238 continuous_linear_map.op_norm_add_le
0.000016    13239 continuous_linear_map.norm_def
0.000015    13240 continuous_linear_map.neg_apply
0.000014    13241 continuous_linear_map.op_norm_neg
0.000016    13242 continuous_linear_map.to_normed_group._proof_2
0.000015    13243 continuous_linear_map.to_normed_group
0.000016    13244 asymptotics.is_O_iff
0.000015    13245 asymptotics.is_O.of_bound
0.000014    13246 is_bounded_bilinear_map.is_O
0.000014    13247 is_bounded_bilinear_map.is_O_comp
0.000017    13248 continuous_linear_map.semimodule._proof_1
0.000016    13249 continuous_linear_map.semimodule._proof_2
0.000015    13250 continuous_linear_map.semimodule._proof_3
0.000016    13251 continuous_linear_map.semimodule._proof_4
0.891563    13252 continuous_linear_map.semimodule._proof_5
0.000077    13253 continuous_linear_map.semimodule._proof_6
0.000026    13254 continuous_linear_map.semimodule
0.000015    13255 continuous_linear_map.to_normed_space._proof_1
0.000014    13256 continuous_linear_map.to_normed_space._proof_2
0.000014    13257 continuous_linear_map.op_norm_smul_le
0.000014    13258 continuous_linear_map.to_normed_space
0.000015    13259 continuous_linear_map.inhabited
0.000014    13260 is_bounded_bilinear_map_apply
0.000014    13261 asymptotics.is_O_with.mul
0.000014    13262 asymptotics.is_o.mul_is_O
0.000014    13263 asymptotics.is_o_norm_left
0.000014    13264 asymptotics.is_o.norm_left
0.000014    13265 normed_linear_ordered_field
0.000014    13266 normed_linear_ordered_field.to_has_norm
0.000018    13267 real.normed_linear_ordered_field._proof_1
0.000015    13268 real.normed_linear_ordered_field
0.000017    13269 is_linear_map
0.000016    13270 is_bounded_linear_map
0.000018    13271 is_bounded_linear_map.bound
0.000015    13272 is_bounded_linear_map.is_O_id
0.000017    13273 is_linear_map.with_bound
0.000017    13274 continuous_linear_map.inl
0.000015    13275 continuous_linear_map.inr
0.000016    13276 linear_map.inl
0.000017    13277 linear_map.inr
0.000018    13278 linear_equiv
0.000017    13279 linear_map.add_apply
0.000016    13280 linear_map.add_comm_monoid._proof_1
0.000017    13281 linear_map.zero_apply
0.000016    13282 linear_map.add_comm_monoid._proof_2
0.000014    13283 linear_map.add_comm_monoid._proof_3
0.000016    13284 linear_map.add_comm_monoid._proof_4
0.000015    13285 linear_map.add_comm_monoid._proof_5
0.000016    13286 linear_map.add_comm_monoid._proof_6
0.000015    13287 linear_map.add_comm_monoid._proof_7
0.000016    13288 linear_map.add_comm_monoid._proof_8
0.000015    13289 linear_map.add_comm_monoid
0.000017    13290 linear_map.distrib_mul_action._proof_1
0.000014    13291 linear_map.distrib_mul_action._proof_2
0.000017    13292 linear_map.distrib_mul_action._proof_3
0.000014    13293 linear_map.distrib_mul_action._proof_4
0.000016    13294 linear_map.distrib_mul_action
0.000015    13295 linear_map.semimodule._proof_1
0.000017    13296 linear_map.semimodule._proof_2
0.000014    13297 linear_map.semimodule
0.000016    13298 add_comm_monoid.nat_smul_comm_class'
0.000015    13299 linear_equiv.to_fun
0.000016    13300 linear_equiv.has_coe_to_fun
0.000015    13301 linear_map.inverse._proof_1
0.000017    13302 linear_map.inverse._proof_2
0.000015    13303 linear_map.inverse
0.000016    13304 linear_equiv.map_add'
0.000015    13305 linear_equiv.map_smul'
0.000017    13306 linear_equiv.to_linear_map
0.000015    13307 linear_equiv.inv_fun
0.000016    13308 linear_equiv.left_inv
0.000015    13309 linear_equiv.right_inv
0.000016    13310 linear_equiv.symm._proof_1
0.000015    13311 linear_equiv.symm._proof_2
0.000016    13312 linear_equiv.to_add_equiv
0.000015    13313 linear_equiv.to_equiv
0.000017    13314 linear_equiv.symm._proof_3
0.000015    13315 linear_equiv.symm._proof_4
0.000016    13316 linear_equiv.symm
0.000017    13317 linear_map.fst._proof_1
0.000015    13318 linear_map.fst._proof_2
0.000016    13319 linear_map.fst
0.000015    13320 linear_map.snd._proof_1
0.000014    13321 linear_map.snd._proof_2
0.000016    13322 linear_map.snd
0.000015    13323 linear_map.coprod
0.000016    13324 prod.fst_add
0.000016    13325 prod.snd_add
0.000014    13326 linear_map.coprod_apply
0.000016    13327 linear_map.coprod_equiv._proof_1
0.000015    13328 linear_map.smul_apply
0.000016    13329 linear_map.coprod_equiv._proof_2
0.000015    13330 linear_map.comp_apply
0.000015    13331 linear_map.inl_apply
0.000014    13332 linear_map.coprod_inl
0.000014    13333 linear_map.inr_apply
0.000014    13334 linear_map.coprod_inr
0.000014    13335 linear_map.coprod_equiv._proof_3
0.000016    13336 linear_map.comp_coprod
0.000015    13337 linear_map.id_apply
0.000016    13338 linear_map.coprod_inl_inr
0.000015    13339 linear_map.comp_id
0.000017    13340 linear_map.coprod_equiv._proof_4
0.000015    13341 linear_map.coprod_equiv
0.000016    13342 linear_equiv.injective
0.000015    13343 linear_map.prod_ext_iff
0.000016    13344 continuous_linear_map.prod_ext_iff
0.000015    13345 continuous_linear_map.prod_ext
0.000016    13346 continuous_linear_map.inl_apply
0.000015    13347 continuous_linear_map.add_comp
0.000016    13348 continuous_linear_map.inr_apply
0.000015    13349 continuous_linear_map.smul_comp
0.000016    13350 is_bounded_bilinear_map.is_bounded_linear_map_deriv
0.000015    13351 prod.has_continuous_add
0.000017    13352 continuous.prod_map
0.000015    13353 prod.topological_add_group
0.000017    13354 asymptotics.is_O_with_of_le
0.000015    13355 asymptotics.is_O_with_refl
0.000015    13356 asymptotics.is_O_refl
0.000016    13357 asymptotics.is_O.of_norm_right
0.000015    13358 asymptotics.is_O_with_const_mul_self
0.000016    13359 asymptotics.is_O_const_mul_self
0.000015    13360 asymptotics.is_o_norm_right
0.000016    13361 asymptotics.is_O_with.exists_nonneg
1.086486    13362 asymptotics.is_O.exists_nonneg
0.000076    13363 asymptotics.is_O.trans
0.000024    13364 asymptotics.is_O.mul
0.000014    13365 asymptotics.is_O.norm_norm
0.000015    13366 asymptotics.is_O_with_fst_prod
0.000014    13367 asymptotics.is_O_fst_prod
0.000015    13368 asymptotics.is_O_fst_prod'
0.000014    13369 asymptotics.is_O_with_snd_prod
0.000015    13370 asymptotics.is_O_snd_prod
0.000014    13371 asymptotics.is_O_snd_prod'
0.000014    13372 is_bounded_bilinear_map.is_O'
0.000014    13373 asymptotics.is_O.mul_is_o
0.000015    13374 is_bounded_bilinear_map.has_strict_fderiv_at
0.000014    13375 asymptotics.is_O_with.prod_left_same
0.000014    13376 asymptotics.is_o.prod_left
0.000014    13377 has_strict_fderiv_at.prod
0.000014    13378 has_strict_fderiv_at.smul
0.000015    13379 has_strict_deriv_at.smul
0.000015    13380 has_strict_deriv_at.mul
0.000014    13381 has_strict_fderiv_at_const
0.000014    13382 has_strict_deriv_at_const
0.000014    13383 has_strict_deriv_at.mul_const
0.000014    13384 has_strict_fderiv_at.add
0.000014    13385 has_strict_deriv_at.add
0.000014    13386 has_strict_deriv_at.scomp
0.000015    13387 has_strict_deriv_at.comp
0.000014    13388 is_R_or_C
0.000014    13389 is_R_or_C.to_nondiscrete_normed_field
0.000014    13390 multilinear_map
0.000014    13391 Pi.topological_space
0.000018    13392 multilinear_map.to_fun
0.000015    13393 continuous_multilinear_map
0.000017    13394 formal_multilinear_series
0.000018    13395 continuous_multilinear_map.to_multilinear_map
0.000017    13396 continuous_multilinear_map.has_coe_to_fun
0.000018    13397 continuous_multilinear_map.uncurry0
0.000017    13398 has_fderiv_within_at
0.000017    13399 function.injective.add_comm_group._proof_1
0.000014    13400 function.injective.add_comm_group._proof_2
0.000017    13401 function.injective.add_comm_group._proof_3
0.000015    13402 function.injective.add_comm_group._proof_4
0.000017    13403 function.injective.add_comm_group._proof_5
0.000017    13404 function.injective.sub_neg_add_monoid._proof_1
0.000017    13405 function.injective.sub_neg_add_monoid._proof_2
0.000015    13406 function.injective.sub_neg_add_monoid._proof_3
0.000014    13407 function.injective.sub_neg_add_monoid._proof_4
0.000014    13408 function.injective.sub_neg_add_monoid._proof_5
0.000014    13409 function.injective.sub_neg_add_monoid._proof_6
0.000015    13410 function.injective.sub_neg_add_monoid
0.000014    13411 function.injective.add_group._proof_1
0.000016    13412 function.injective.add_group._proof_2
0.000015    13413 function.injective.add_group._proof_3
0.000017    13414 function.injective.add_group._proof_4
0.000017    13415 function.injective.add_group._proof_5
0.000015    13416 function.injective.add_group._proof_6
0.000014    13417 function.injective.add_group._proof_7
0.000016    13418 function.injective.add_group
0.000017    13419 function.injective.add_comm_group._proof_6
0.000017    13420 function.injective.add_comm_group._proof_7
0.000017    13421 function.injective.add_comm_group._proof_8
0.000017    13422 function.injective.add_comm_group
0.000015    13423 multilinear_map.has_coe_to_fun
0.000016    13424 multilinear_map.map_add'
0.000015    13425 multilinear_map.map_add
0.000017    13426 multilinear_map.has_add._proof_1
0.000017    13427 multilinear_map.map_smul'
0.000016    13428 multilinear_map.map_smul
0.000016    13429 multilinear_map.has_add._proof_2
0.000015    13430 multilinear_map.has_add
0.000014    13431 continuous_multilinear_map.cont
0.000017    13432 continuous_multilinear_map.has_add._proof_1
0.000015    13433 continuous_multilinear_map.has_add
0.000014    13434 continuous_multilinear_map.add_comm_group._proof_1
0.000016    13435 multilinear_map.has_zero._proof_1
0.000016    13436 multilinear_map.has_zero._proof_2
0.000014    13437 multilinear_map.has_zero
0.000016    13438 continuous_multilinear_map.has_zero._proof_1
0.000015    13439 continuous_multilinear_map.has_zero._proof_2
0.000015    13440 continuous_multilinear_map.has_zero._proof_3
0.000016    13441 continuous_multilinear_map.has_zero
0.000015    13442 multilinear_map.has_neg._proof_1
0.000015    13443 multilinear_map.has_neg._proof_2
0.000016    13444 multilinear_map.has_neg
0.000015    13445 continuous_multilinear_map.has_neg._proof_1
0.000014    13446 continuous_multilinear_map.has_neg._proof_2
0.000016    13447 continuous_multilinear_map.has_neg._proof_3
0.000015    13448 continuous_multilinear_map.has_neg
0.000016    13449 multilinear_map.has_sub._proof_1
0.000015    13450 multilinear_map.has_sub._proof_2
0.000017    13451 multilinear_map.has_sub
0.000015    13452 continuous_multilinear_map.has_sub._proof_1
0.000014    13453 continuous_multilinear_map.has_sub._proof_2
0.000017    13454 continuous_multilinear_map.has_sub._proof_3
0.000015    13455 continuous_multilinear_map.has_sub
0.000014    13456 multilinear_map.cases_on
0.000016    13457 multilinear_map.coe_inj
0.686157    13458 multilinear_map.ext
0.000074    13459 multilinear_map.add_apply
0.000023    13460 multilinear_map.add_comm_monoid._proof_1
0.000015    13461 multilinear_map.zero_apply
0.000014    13462 multilinear_map.add_comm_monoid._proof_2
0.000014    13463 multilinear_map.add_comm_monoid._proof_3
0.000015    13464 multilinear_map.add_comm_monoid._proof_4
0.000014    13465 multilinear_map.add_comm_monoid._proof_5
0.000014    13466 multilinear_map.coe_mk
0.000015    13467 multilinear_map.add_comm_monoid._proof_6
0.000014    13468 multilinear_map.add_comm_monoid._proof_7
0.000013    13469 multilinear_map.add_comm_monoid._proof_8
0.000014    13470 multilinear_map.add_comm_monoid
0.000015    13471 multilinear_map.add_comm_group._proof_1
0.000014    13472 multilinear_map.add_comm_group._proof_2
0.000017    13473 multilinear_map.add_comm_group._proof_3
0.000017    13474 multilinear_map.add_comm_group._proof_4
0.000017    13475 multilinear_map.add_comm_group._proof_5
0.000017    13476 multilinear_map.sub_apply
0.000017    13477 multilinear_map.neg_apply
0.000014    13478 multilinear_map.add_comm_group._proof_6
0.000016    13479 multilinear_map.add_comm_group._proof_7
0.000017    13480 multilinear_map.add_comm_group._proof_8
0.000018    13481 multilinear_map.add_comm_group
0.000016    13482 continuous_multilinear_map.cases_on
0.000017    13483 continuous_multilinear_map.to_multilinear_map_inj
0.000017    13484 continuous_multilinear_map.add_comm_group._proof_2
0.000018    13485 continuous_multilinear_map.add_comm_group._proof_3
0.000016    13486 continuous_multilinear_map.add_comm_group._proof_4
0.000015    13487 continuous_multilinear_map.add_comm_group._proof_5
0.000015    13488 continuous_multilinear_map.add_comm_group._proof_6
0.000016    13489 continuous_multilinear_map.add_comm_group
0.000015    13490 continuous_multilinear_map.to_normed_group._proof_1
0.000014    13491 continuous_multilinear_map.op_norm
0.000015    13492 continuous_multilinear_map.has_op_norm
0.000014    13493 continuous_multilinear_map.ext
0.000016    13494 continuous_multilinear_map.zero_apply
0.000015    13495 ordered_comm_semiring
0.000016    13496 ordered_comm_semiring.add
0.000015    13497 ordered_comm_semiring.add_assoc
0.000016    13498 ordered_comm_semiring.zero
0.000016    13499 ordered_comm_semiring.zero_add
0.000016    13500 ordered_comm_semiring.add_zero
0.000015    13501 ordered_comm_semiring.nsmul
0.000014    13502 ordered_comm_semiring.nsmul_zero'
0.000016    13503 ordered_comm_semiring.nsmul_succ'
0.000016    13504 ordered_comm_semiring.add_comm
0.000014    13505 ordered_comm_semiring.mul
0.000016    13506 ordered_comm_semiring.mul_assoc
0.000015    13507 ordered_comm_semiring.one
0.000016    13508 ordered_comm_semiring.one_mul
0.000015    13509 ordered_comm_semiring.mul_one
0.000015    13510 ordered_comm_semiring.npow
0.000016    13511 ordered_comm_semiring.npow_zero'
0.000015    13512 ordered_comm_semiring.npow_succ'
0.000016    13513 ordered_comm_semiring.zero_mul
0.000016    13514 ordered_comm_semiring.mul_zero
0.000014    13515 ordered_comm_semiring.left_distrib
0.000017    13516 ordered_comm_semiring.right_distrib
0.000015    13517 ordered_comm_semiring.add_left_cancel
0.000014    13518 ordered_comm_semiring.le
0.000016    13519 ordered_comm_semiring.lt
0.000015    13520 ordered_comm_semiring.le_refl
0.000015    13521 ordered_comm_semiring.le_trans
0.000016    13522 ordered_comm_semiring.lt_iff_le_not_le
0.000016    13523 ordered_comm_semiring.le_antisymm
0.000014    13524 ordered_comm_semiring.add_le_add_left
0.000016    13525 ordered_comm_semiring.le_of_add_le_add_left
0.000015    13526 ordered_comm_semiring.zero_le_one
0.000015    13527 ordered_comm_semiring.mul_lt_mul_of_pos_left
0.000016    13528 ordered_comm_semiring.mul_lt_mul_of_pos_right
0.000015    13529 ordered_comm_semiring.to_ordered_semiring
0.000017    13530 ordered_comm_semiring.mul_comm
0.000015    13531 ordered_comm_semiring.to_comm_semiring
0.000014    13532 multiset.prod_eq_foldr
0.000016    13533 multiset.foldr_zero
0.000015    13534 multiset.mem_cons_of_mem
0.000017    13535 multiset.foldr_induction'
0.000014    13536 multiset.foldr_induction
0.000015    13537 multiset.prod_induction
0.000016    13538 quotient.mk'
0.000015    13539 quotient.induction_on'
0.000015    13540 list.forall_mem_map_iff
0.000016    13541 multiset.forall_mem_map_iff
0.000015    13542 finset.prod_induction
0.000014    13543 finset.prod_nonneg
0.000017    13544 ordered_comm_ring
0.000014    13545 ordered_comm_ring.add
0.000017    13546 ordered_comm_ring.add_assoc
0.000015    13547 ordered_comm_ring.zero
0.000016    13548 ordered_comm_ring.zero_add
0.000015    13549 ordered_comm_ring.add_zero
0.000016    13550 ordered_comm_ring.nsmul
0.000015    13551 ordered_comm_ring.nsmul_zero'
0.000016    13552 ordered_comm_ring.nsmul_succ'
0.000015    13553 ordered_comm_ring.add_comm
0.000015    13554 ordered_comm_ring.mul
0.000016    13555 ordered_comm_ring.mul_assoc
2.533914    13556 ordered_comm_ring.one
0.000076    13557 ordered_comm_ring.one_mul
0.000024    13558 ordered_comm_ring.mul_one
0.000015    13559 ordered_comm_ring.npow
0.000014    13560 ordered_comm_ring.npow_zero'
0.000014    13561 ordered_comm_ring.npow_succ'
0.000047    13562 ordered_comm_ring.zero_mul
0.000016    13563 ordered_comm_ring.mul_zero
0.000014    13564 ordered_comm_ring.left_distrib
0.000014    13565 ordered_comm_ring.right_distrib
0.000014    13566 ordered_comm_ring.add_left_cancel
0.000014    13567 ordered_comm_ring.le
0.000014    13568 ordered_comm_ring.lt
0.000015    13569 ordered_comm_ring.le_refl
0.000018    13570 ordered_comm_ring.le_trans
0.000018    13571 ordered_comm_ring.lt_iff_le_not_le
0.000017    13572 ordered_comm_ring.le_antisymm
0.000015    13573 ordered_comm_ring.neg
0.000016    13574 ordered_comm_ring.sub
0.000017    13575 ordered_comm_ring.sub_eq_add_neg
0.000015    13576 ordered_comm_ring.add_left_neg
0.000016    13577 ordered_comm_ring.add_le_add_left
0.000016    13578 ordered_comm_ring.le_of_add_le_add_left
0.000014    13579 ordered_comm_ring.zero_le_one
0.000014    13580 ordered_comm_ring.mul_lt_mul_of_pos_left
0.000014    13581 ordered_comm_ring.mul_lt_mul_of_pos_right
0.000018    13582 ordered_comm_ring.mul_comm
0.000017    13583 ordered_comm_ring.to_ordered_comm_semiring
0.000017    13584 linear_ordered_comm_ring.to_ordered_comm_ring
0.000018    13585 finset.exists_mem_insert
0.000017    13586 finset.prod_eq_zero_iff
0.000018    13587 multilinear_map.map_coord_zero
0.000017    13588 continuous_multilinear_map.map_coord_zero
0.000015    13589 nnreal.distrib_lattice
0.000014    13590 nnreal.semilattice_sup_bot
0.000017    13591 nnnorm
0.000014    13592 pi.add_comm_group._proof_1
0.000017    13593 pi.add_comm_group._proof_2
0.000015    13594 pi.add_comm_group._proof_3
0.000015    13595 pi.add_comm_group._proof_4
0.000016    13596 pi.add_comm_group._proof_5
0.000015    13597 pi.has_neg
0.000015    13598 pi.has_sub
0.000016    13599 pi.add_comm_group._proof_6
0.000015    13600 pi.add_comm_group._proof_7
0.000016    13601 pi.add_comm_group._proof_8
0.000016    13602 pi.add_comm_group
0.000014    13603 ennreal.bot_eq_zero
0.000016    13604 pseudo_emetric_space_pi._proof_1
0.000015    13605 pseudo_emetric_space_pi._proof_2
0.000017    13606 pseudo_emetric_space_pi._proof_3
0.000015    13607 Pi.uniform_space._proof_1
0.000014    13608 Pi.uniform_space
0.000016    13609 Pi.uniformity
0.000015    13610 infi_pos
0.000017    13611 set.Inter_pos
0.000015    13612 finset.inf_empty
0.000014    13613 false_implies_iff
0.000016    13614 pi.inhabited
0.000016    13615 finset.inf_congr
0.000014    13616 filter.mem_infi_sets_finset
0.000016    13617 filter.infi_principal_finset
0.000016    13618 filter.infi_principal_fintype
0.000014    13619 finset.cons_induction_on
0.000016    13620 finset.fold_cons
0.000015    13621 finset.sup_cons
0.000017    13622 finset.sup_lt_iff
0.000015    13623 pseudo_emetric_space_pi._proof_4
0.000016    13624 pseudo_emetric_space_pi
0.000015    13625 edist_pi_def
0.000016    13626 ennreal.lt_top_iff_ne_top
0.000015    13627 edist_ne_top
0.000016    13628 edist_lt_top
0.000015    13629 pseudo_metric_space_pi._proof_1
0.000015    13630 finset.comp_sup_eq_sup_comp
0.000016    13631 monotone.map_sup
0.000015    13632 finset.comp_sup_eq_sup_comp_of_is_total
0.000014    13633 ennreal.coe_mono
0.000017    13634 ennreal.coe_finset_sup
0.000015    13635 pseudo_metric_space_pi._proof_2
0.000014    13636 pseudo_metric_space_pi
0.000016    13637 nndist_eq_nnnorm
0.000016    13638 pi.semi_normed_group._proof_1
0.000014    13639 pi.semi_normed_group
0.000016    13640 metric_space_pi._proof_1
0.000016    13641 metric_space_pi._proof_2
0.000014    13642 metric_space_pi._proof_3
0.000016    13643 metric_space_pi._proof_4
0.000015    13644 metric_space_pi._proof_5
0.000016    13645 edist_le_zero
0.000015    13646 metric_space_pi._proof_6
0.000015    13647 metric_space_pi
0.000016    13648 pi.normed_group._proof_1
0.000016    13649 pi.normed_group
0.000014    13650 finset.prod_eq_zero
0.000016    13651 finset.piecewise
0.000015    13652 finset.piecewise.equations._eqn_1
0.000016    13653 finset.piecewise_univ
0.000016    13654 finset.piecewise_empty
0.000014    13655 finset.piecewise_coe
0.000016    13656 set.piecewise.equations._eqn_1
0.000016    13657 set.piecewise_insert
0.000014    13658 finset.coe_insert
0.000016    13659 finset.piecewise_insert
0.000015    13660 finset.piecewise_eq_of_not_mem
0.000015    13661 multilinear_map.map_piecewise_smul
0.000016    13662 multilinear_map.map_smul_univ
0.000015    13663 finset.prod_eq_multiset_prod
0.000014    13664 list.prod_hom
0.000017    13665 multiset.prod_hom
0.000015    13666 monoid_hom.map_multiset_prod
0.000014    13667 monoid_hom.map_prod
0.000017    13668 normed_field.norm_prod
0.000015    13669 finset.prod_congr
0.000016    13670 finset.prod_mul_distrib
0.000015    13671 finset.prod_pos
0.000016    13672 multilinear_map.bound_of_shell
0.000015    13673 pi.add_group._proof_1
0.000014    13674 pi.add_group._proof_2
0.000016    13675 pi.add_group._proof_3
0.000015    13676 pi.add_group._proof_4
1.374280    13677 pi.add_group._proof_5
0.000076    13678 pi.add_group._proof_6
0.000024    13679 pi.add_group._proof_7
0.000015    13680 pi.add_group
0.000014    13681 set.exists_mem_of_nonempty
0.000014    13682 multilinear_map.map_zero
0.000016    13683 dist_pi_def
0.000013    13684 dist_lt_coe
0.000015    13685 dist_pi_lt_iff
0.000014    13686 pi_norm_lt_iff
0.000014    13687 fintype.card.equations._eqn_1
0.000014    13688 finset.card_empty
0.000014    13689 finset.card_insert_of_not_mem
0.000014    13690 finset.prod_const
0.000014    13691 finset.prod_le_prod
0.000014    13692 add_pos_of_nonneg_of_pos
0.000014    13693 finset.coe_nonempty
0.000014    13694 set.nonempty_iff_univ_nonempty
0.000018    13695 finset.univ_nonempty_iff
0.000018    13696 finset.ne_empty_of_mem
0.000017    13697 finset.nonempty.ne_empty
0.000018    13698 finset.nonempty_iff_ne_empty
0.000017    13699 finset.univ_eq_empty
0.000017    13700 multilinear_map.exists_bound_of_continuous
0.000017    13701 continuous_multilinear_map.bound
0.000016    13702 continuous_multilinear_map.bounds_nonempty
0.000015    13703 continuous_multilinear_map.op_norm_nonneg
0.000016    13704 continuous_multilinear_map.bounds_bdd_below
0.000018    13705 continuous_multilinear_map.le_op_norm
0.000017    13706 continuous_multilinear_map.op_norm_le_bound
0.000018    13707 continuous_multilinear_map.op_norm_zero_iff
0.000017    13708 continuous_multilinear_map.op_norm_add_le
0.000017    13709 continuous_multilinear_map.norm_def
0.000015    13710 continuous_multilinear_map.neg_apply
0.000016    13711 continuous_multilinear_map.op_norm_neg
0.000017    13712 continuous_multilinear_map.to_normed_group._proof_2
0.000017    13713 continuous_multilinear_map.to_normed_group
0.000016    13714 continuous_multilinear_map.add_comm_monoid._proof_1
0.000015    13715 continuous_multilinear_map.add_comm_monoid._proof_2
0.000017    13716 continuous_multilinear_map.add_comm_monoid._proof_3
0.000017    13717 continuous_multilinear_map.add_comm_monoid
0.000015    13718 multilinear_map.has_scalar._proof_1
0.000014    13719 multilinear_map.has_scalar._proof_2
0.000016    13720 multilinear_map.has_scalar
0.000015    13721 continuous_multilinear_map.has_scalar._proof_1
0.000015    13722 continuous_multilinear_map.has_scalar._proof_2
0.000016    13723 continuous_multilinear_map.has_scalar._proof_3
0.000015    13724 continuous_multilinear_map.has_scalar
0.000016    13725 continuous_multilinear_map.semimodule._proof_1
0.000015    13726 continuous_multilinear_map.semimodule._proof_2
0.000016    13727 continuous_multilinear_map.semimodule._proof_3
0.000016    13728 continuous_multilinear_map.semimodule._proof_4
0.000014    13729 continuous_multilinear_map.semimodule._proof_5
0.000016    13730 continuous_multilinear_map.semimodule._proof_6
0.000016    13731 continuous_multilinear_map.semimodule
0.000015    13732 continuous_multilinear_map.to_normed_space._proof_1
0.000016    13733 continuous_multilinear_map.to_normed_space._proof_2
0.000014    13734 continuous_multilinear_map.op_norm_smul_le
0.000016    13735 continuous_multilinear_map.to_normed_space._proof_3
0.000016    13736 continuous_multilinear_map.to_normed_space
0.000016    13737 continuous_multilinear_map.curry_left._proof_1
0.000015    13738 continuous_multilinear_map.curry_left._proof_2
0.000016    13739 multilinear_map.mk_continuous._proof_1
0.000015    13740 multilinear_map.mk_continuous._proof_2
0.000017    13741 lt_inf_iff
0.000015    13742 lt_min_iff
0.000015    13743 continuous_at_of_locally_lipschitz
0.000016    13744 multilinear_map.map_neg
0.000015    13745 multilinear_map.map_sub
0.000015    13746 finset.piecewise_eq_of_mem
0.000016    13747 multilinear_map.norm_image_sub_le_of_bound'
0.000015    13748 dist_le_coe
0.000016    13749 subtype.eta
0.000015    13750 nndist_pi_def
0.000016    13751 dist_pi_le_iff
0.000015    13752 pi_norm_le_iff
0.000014    13753 norm_le_pi_norm
0.000016    13754 finset.piecewise_singleton
0.000015    13755 finset.update_eq_piecewise
0.000015    13756 is_symm
0.000014    13757 is_equiv
0.000014    13758 is_equiv.to_is_preorder
0.000016    13759 eq_is_equiv
0.000015    13760 finset.filter_not
0.000016    13761 finset.filter_union_filter_neg_eq
0.000017    13762 finset.disjoint_right
0.000015    13763 congr_arg2
0.000016    13764 finset.prod_attach
0.000015    13765 finset.prod_apply_dite
0.000016    13766 finset.prod_apply_ite
0.000015    13767 finset.prod_ite
0.000016    13768 finset.filter_mem_eq_inter
0.000015    13769 finset.sdiff_eq_filter
0.000014    13770 finset.prod_piecewise
0.000016    13771 finset.inter_comm
0.000015    13772 finset.insert_inter_of_mem
0.000016    13773 finset.empty_inter
0.000015    13774 finset.singleton_inter_of_mem
0.000016    13775 finset.inter_singleton_of_mem
0.000015    13776 multiset.card_singleton
0.000016    13777 finset.card_singleton
0.000015    13778 finset.prod_update_of_mem
0.000014    13779 finset.union_empty
0.000016    13780 finset.union_left_comm
0.000015    13781 finset.union_insert
0.602056    13782 finset.insert_eq_of_mem
0.000077    13783 finset.inter_insert_of_mem
0.000024    13784 finset.insert_inter_of_not_mem
0.000015    13785 finset.inter_insert_of_not_mem
0.000014    13786 finset.card_union_add_card_inter
0.000014    13787 finset.card_disjoint_union
0.000015    13788 finset.card_sdiff
0.000015    13789 finset.card_univ_diff
0.000025    13790 finset.sum_const
0.000015    13791 finset.card_univ
0.000014    13792 multilinear_map.norm_image_sub_le_of_bound
0.000014    13793 pow_le_pow_of_le_left
0.000014    13794 norm_le_of_mem_closed_ball
0.000015    13795 multilinear_map.continuous_of_bound
0.000014    13796 multilinear_map.mk_continuous._proof_3
0.000014    13797 multilinear_map.mk_continuous
0.000014    13798 multilinear_map.distrib_mul_action._proof_1
0.000014    13799 multilinear_map.distrib_mul_action._proof_2
0.000014    13800 multilinear_map.distrib_mul_action._proof_3
0.000015    13801 multilinear_map.distrib_mul_action._proof_4
0.000014    13802 multilinear_map.distrib_mul_action
0.000014    13803 multilinear_map.semimodule._proof_1
0.000014    13804 multilinear_map.semimodule._proof_2
0.000014    13805 multilinear_map.semimodule
0.000014    13806 multilinear_map.curry_left._proof_1
0.000014    13807 continuous_multilinear_map.curry_left._proof_3
0.000014    13808 multilinear_map.curry_left._proof_2
0.000014    13809 fin.cases_zero
0.000014    13810 fin.cons_zero
0.000015    13811 fin.ext_iff
0.000014    13812 fin.succ_ne_zero
0.000019    13813 nat.pred_lt_pred
0.000015    13814 fin.val_zero
0.000017    13815 fin.vne_of_ne
0.000015    13816 fin.pred._main
0.000016    13817 fin.pred
0.000015    13818 fin.succ_pred
0.000017    13819 rel_embedding.injective
0.000015    13820 fin.succ_embedding._match_1
0.000017    13821 fin.succ_embedding._match_2
0.000014    13822 fin.succ_embedding._proof_1
0.000015    13823 fin.succ_embedding
0.000014    13824 fin.succ_injective
0.000016    13825 fin.succ_inj
0.000015    13826 fin.cons_update
0.000017    13827 multilinear_map.curry_left._proof_3
0.000015    13828 multilinear_map.curry_left._proof_4
0.000018    13829 fin.update_cons_zero
0.000014    13830 multilinear_map.cons_add
0.000017    13831 multilinear_map.curry_left._proof_5
0.000016    13832 multilinear_map.cons_smul
0.000014    13833 multilinear_map.curry_left._proof_6
0.000014    13834 multilinear_map.curry_left
0.000016    13835 strict_mono.ite'
0.000015    13836 strict_mono.ite
0.000016    13837 rel_embedding.coe_fn_to_embedding
0.000015    13838 order_embedding.lt_embedding._proof_1
0.000018    13839 order_embedding.lt_embedding
0.000015    13840 order_embedding.lt_iff_lt
0.000014    13841 order_embedding.strict_mono
0.000014    13842 fin.lt_iff_coe_lt_coe
0.000017    13843 fin.coe_cast_succ
0.000017    13844 fin.succ._main.equations._eqn_1
0.000017    13845 fin.succ.equations._eqn_1
0.000016    13846 fin.coe_mk
0.000017    13847 fin.coe_succ
0.000015    13848 fin.cast_succ_lt_succ
0.000014    13849 fin.succ_above_aux
0.000014    13850 fin.succ_above
0.000015    13851 fin.bounded_lattice._proof_1
0.000014    13852 fin.bounded_lattice._proof_2
0.000014    13853 fin.bounded_lattice._proof_3
0.000014    13854 fin.bounded_lattice._proof_4
0.000014    13855 fin.bounded_lattice._proof_5
0.000017    13856 fin.bounded_lattice._proof_6
0.000017    13857 fin.bounded_lattice._proof_7
0.000017    13858 fin.bounded_lattice._proof_8
0.000017    13859 fin.bounded_lattice._proof_9
0.000018    13860 fin.bounded_lattice._proof_10
0.000014    13861 fin.last
0.000017    13862 fin.le_last
0.000015    13863 fin.zero_le
0.000018    13864 fin.bounded_lattice
0.000017    13865 fin.pred_above._proof_1
0.000015    13866 fin.pred_above._proof_2
0.000014    13867 fin.pred_above
0.000016    13868 fin.cast_pred
0.000015    13869 fin.pred_above.equations._eqn_1
0.000016    13870 fin.succ_above.equations._eqn_1
0.000015    13871 order_embedding.coe_of_strict_mono
0.000015    13872 fin.succ_above_above
0.000016    13873 fin.le_iff_coe_le_coe
0.000015    13874 add_left_cancel_monoid.zero
0.000016    13875 add_left_cancel_monoid.zero_add
0.000015    13876 add_left_cancel_monoid.add_zero
0.000016    13877 add_left_cancel_monoid.nsmul
0.000016    13878 add_left_cancel_monoid.nsmul_zero'
0.000015    13879 add_left_cancel_monoid.nsmul_succ'
0.000016    13880 add_left_cancel_monoid.to_add_monoid
0.000016    13881 fin.cast_succ_lt_last
0.000014    13882 fin.cast_pred.equations._eqn_1
0.000016    13883 fin.coe_pred
0.000015    13884 fin.coe_last
0.000017    13885 nat.succ_sub_one
0.000015    13886 nat.add_succ_sub_one
0.000016    13887 fin.cast_pred_last
0.000015    13888 add_right_eq_self
0.000016    13889 self_eq_add_right
0.000016    13890 nat.one_ne_zero
0.000014    13891 fin.cast_succ_cast_lt
0.000016    13892 fin.cast_succ_cast_pred
0.000015    13893 fin.cast_succ_lt_cast_succ_iff
0.000016    13894 fin.cast_lt_cast_succ
0.000015    13895 fin.cast_pred_cast_succ
0.000015    13896 fin.lt_last_iff_coe_cast_pred
0.000016    13897 nat.le_pred_of_lt
0.000015    13898 fin.succ_above_below
0.000016    13899 function.embedding.cases_on
0.000015    13900 rel_embedding.coe_fn_inj
0.000017    13901 rel_embedding.ext
1.161817    13902 fin.succ_above_last
0.000083    13903 fin.eq_last_of_not_lt
0.000021    13904 fin.univ_cast_succ
0.000015    13905 fin.univ_succ_above
0.000014    13906 fin.succ_above_ne
0.000014    13907 fin.succ_above_right_injective
0.000015    13908 fin.succ_above_right_inj
0.000014    13909 fin.prod_univ_succ_above
0.000014    13910 fin.prod_univ_succ
0.000014    13911 continuous_multilinear_map.norm_map_cons_le
0.000014    13912 continuous_multilinear_map.curry_left._proof_4
0.000014    13913 continuous_multilinear_map.cons_add
0.000015    13914 continuous_multilinear_map.curry_left._proof_5
0.000014    13915 continuous_multilinear_map.cons_smul
0.000015    13916 continuous_multilinear_map.curry_left._proof_6
0.000016    13917 multilinear_map.mk_continuous_norm_le
0.000015    13918 continuous_multilinear_map.curry_left._proof_7
0.000015    13919 continuous_multilinear_map.curry_left
0.000017    13920 has_ftaylor_series_up_to_on
0.000017    13921 times_cont_diff_within_at
0.000018    13922 times_cont_diff_at
0.000015    13923 linear_isometry_equiv
0.000017    13924 continuous_multilinear_curry_fin1._proof_1
0.000015    13925 continuous_multilinear_curry_fin1._proof_2
0.000017    13926 linear_isometry_equiv.to_linear_equiv
0.000014    13927 linear_isometry_equiv.has_coe_to_fun
0.000025    13928 linear_equiv.trans._proof_1
0.000015    13929 linear_equiv.trans._proof_2
0.000014    13930 linear_equiv.trans._proof_3
0.000014    13931 linear_equiv.trans._proof_4
0.000017    13932 linear_equiv.trans
0.000017    13933 linear_isometry_equiv.norm_map'
0.000017    13934 linear_isometry_equiv.norm_map
0.000016    13935 linear_isometry_equiv.trans._proof_1
0.000019    13936 linear_isometry_equiv.trans
0.000015    13937 continuous_multilinear_curry_right_equiv._proof_1
0.000014    13938 continuous_multilinear_curry_right_equiv._proof_3
0.000014    13939 continuous_multilinear_curry_right_equiv._proof_2
0.000016    13940 continuous_multilinear_curry_fin1._proof_3
0.000015    13941 continuous_multilinear_curry_fin1._proof_4
0.000015    13942 linear_equiv.apply_symm_apply
0.000016    13943 linear_isometry_equiv.symm._proof_1
0.000015    13944 linear_isometry_equiv.symm
0.000014    13945 linear_equiv.symm_apply_apply
0.000018    13946 linear_isometry_equiv.of_bounds._proof_1
0.000015    13947 linear_isometry_equiv.of_bounds
0.000017    13948 continuous_multilinear_curry_right_equiv._proof_4
0.000017    13949 continuous_multilinear_curry_right_equiv._proof_5
0.000017    13950 continuous_multilinear_curry_right_equiv._proof_6
0.000017    13951 continuous_multilinear_map.uncurry_right._proof_1
0.000017    13952 continuous_multilinear_map.uncurry_right._proof_2
0.000017    13953 linear_map.add_comm_group._proof_1
0.000017    13954 linear_map.add_comm_group._proof_2
0.000017    13955 linear_map.add_comm_group._proof_3
0.000017    13956 linear_map.add_comm_group._proof_4
0.000016    13957 linear_map.add_comm_group._proof_5
0.000017    13958 linear_map.sub_apply
0.000017    13959 linear_map.neg_apply
0.000017    13960 linear_map.add_comm_group._proof_6
0.000017    13961 linear_map.add_comm_group._proof_7
0.000017    13962 linear_map.add_comm_group._proof_8
0.000017    13963 linear_map.add_comm_group
0.000017    13964 continuous_multilinear_map.uncurry_right._proof_3
0.000017    13965 continuous_multilinear_map.map_add
0.000017    13966 continuous_multilinear_map.uncurry_right._proof_4
0.000016    13967 continuous_multilinear_map.map_smul
0.000017    13968 continuous_multilinear_map.uncurry_right._proof_5
0.000017    13969 multilinear_map.uncurry_right._proof_1
0.000017    13970 multilinear_map.uncurry_right._proof_2
0.000017    13971 fin.init
0.000016    13972 fin.init.equations._eqn_1
0.000017    13973 order_embedding.eq_iff_eq
0.000017    13974 fin.init_update_cast_succ
0.000017    13975 fin.init_update_last
0.000017    13976 multilinear_map.uncurry_right._proof_3
0.000017    13977 multilinear_map.uncurry_right._proof_4
0.000017    13978 multilinear_map.uncurry_right
0.000017    13979 fin.prod_univ_cast_succ
0.000017    13980 continuous_multilinear_map.norm_map_init_le
0.000016    13981 continuous_multilinear_map.uncurry_right._proof_6
0.000017    13982 continuous_multilinear_map.uncurry_right
0.000017    13983 continuous_multilinear_curry_right_equiv._proof_7
0.000017    13984 continuous_multilinear_curry_right_equiv._proof_8
0.000016    13985 continuous_multilinear_map.curry_right._proof_1
0.000017    13986 continuous_multilinear_map.curry_right._proof_2
0.000017    13987 multilinear_map.curry_right._proof_1
0.000017    13988 continuous_multilinear_map.curry_right._proof_3
0.000017    13989 multilinear_map.curry_right._proof_2
0.000017    13990 fin.snoc._proof_1
0.000016    13991 fin.snoc._proof_2
0.000017    13992 fin.snoc
0.000017    13993 fin.snoc.equations._eqn_1
0.000016    13994 function.bijective.injective
0.000017    13995 eq_rec_on_bijective
1.165109    13996 cast_bijective
0.000077    13997 cast_inj
0.000026    13998 fin.snoc_last
0.000015    13999 fin.update_snoc_last
0.000014    14000 multilinear_map.snoc_add
0.000014    14001 multilinear_map.curry_right._proof_3
0.000014    14002 multilinear_map.snoc_smul
0.000014    14003 multilinear_map.curry_right._proof_4
0.000013    14004 heq_of_cast_eq
0.000017    14005 eq_rec_compose
0.000017    14006 fin.snoc_update
0.000016    14007 multilinear_map.curry_right._proof_5
0.000015    14008 multilinear_map.curry_right._proof_6
0.000017    14009 multilinear_map.curry_right
0.000017    14010 fin.snoc_cast_succ
0.000017    14011 continuous_multilinear_map.norm_map_snoc_le
0.000017    14012 continuous_multilinear_map.curry_right._proof_4
0.000015    14013 continuous_multilinear_map.curry_right._proof_5
0.000014    14014 continuous_multilinear_map.curry_right._proof_6
0.000015    14015 linear_map.mk_continuous_norm_le
0.000017    14016 continuous_multilinear_map.curry_right._proof_7
0.000017    14017 continuous_multilinear_map.curry_right
0.000017    14018 continuous_multilinear_map.curry_right_apply
0.000015    14019 continuous_multilinear_map.uncurry_right_apply
0.000015    14020 fin.init_snoc
0.000015    14021 continuous_multilinear_map.curry_uncurry_right
0.000018    14022 proof_irrel_heq
0.000016    14023 fin.snoc_init_self
0.000017    14024 continuous_multilinear_map.uncurry_curry_right
0.000017    14025 continuous_multilinear_curry_right_equiv._proof_9
0.000017    14026 continuous_multilinear_curry_right_equiv._proof_10
0.000016    14027 continuous_multilinear_curry_right_equiv._proof_11
0.000017    14028 continuous_multilinear_curry_right_equiv
0.000017    14029 continuous_multilinear_curry_fin0._proof_1
0.000017    14030 continuous_multilinear_curry_fin0._proof_2
0.000017    14031 continuous_multilinear_curry_fin0._proof_3
0.000017    14032 continuous_multilinear_curry_fin0._proof_4
0.000016    14033 continuous_multilinear_map.curry0._proof_1
0.000017    14034 continuous_multilinear_map.curry0._proof_2
0.000017    14035 continuous_multilinear_map.curry0._proof_3
0.000017    14036 continuous_multilinear_map.curry0
0.000017    14037 continuous_multilinear_map.uncurry0_apply
0.000016    14038 pi.unique_of_empty._proof_1
0.000017    14039 pi.unique_of_empty
0.000017    14040 fin.tuple0_unique._proof_1
0.000017    14041 fin.tuple0_unique
0.000017    14042 continuous_multilinear_map.curry0_apply
0.000017    14043 continuous_multilinear_map.apply_zero_curry0
0.000017    14044 continuous_multilinear_map.uncurry0_curry0
0.000017    14045 continuous_multilinear_map.curry0_uncurry0
0.000017    14046 fin.prod_univ_zero
0.000017    14047 continuous_multilinear_map.fin0_apply_norm
0.000017    14048 continuous_multilinear_map.uncurry0_norm
0.000017    14049 continuous_multilinear_curry_fin0
0.000017    14050 continuous_multilinear_curry_fin1
0.000017    14051 dense
0.000017    14052 set_like.mem_coe
0.000017    14053 submodule.zero_mem'
0.000017    14054 submodule.zero_mem
0.000016    14055 submodule.has_bot._proof_1
0.000017    14056 submodule.has_bot._proof_2
0.000017    14057 submodule.has_bot._proof_3
0.000017    14058 submodule.has_bot
0.000017    14059 submodule.inhabited'
0.000017    14060 submodule.has_Inf._proof_1
0.000017    14061 submodule.add_mem'
0.000017    14062 submodule.add_mem
0.000016    14063 submodule.has_Inf._proof_2
0.000017    14064 submodule.smul_mem'
0.000017    14065 submodule.smul_mem
0.000016    14066 submodule.has_Inf._proof_3
0.000017    14067 submodule.has_Inf
0.000017    14068 submodule.span
0.000017    14069 tangent_cone_at
0.000017    14070 unique_diff_within_at
0.000016    14071 set.diagonal
0.000017    14072 is_closed_of_closure_subset
0.000017    14073 closure_subset_iff_is_closed
0.000017    14074 is_closed_iff_cluster_pt
0.000017    14075 filter.ne_bot.ne
0.000016    14076 is_closed_diagonal
0.000017    14077 is_closed_eq
0.000017    14078 set.eq_on.closure
0.000017    14079 submodule.mem_span
0.000017    14080 submodule.subset_span
0.000017    14081 submodule.span_le
0.000017    14082 submodule.span_induction
0.000017    14083 linear_map.eq_on_span
0.000017    14084 linear_map.eq_on_span'
0.000017    14085 continuous_linear_map.eq_on_closure_span
0.000017    14086 continuous_linear_map.ext_on
0.000017    14087 separation_rel
0.000016    14088 separated_space
0.000017    14089 t2_iff_is_closed_diagonal
0.000017    14090 separated_space.out
0.000017    14091 separation_rel.equations._eqn_1
0.000016    14092 filter.has_basis.sInter_sets
0.000017    14093 filter.has_basis.separation_rel
0.000017    14094 filter.has_basis.dcases_on
0.000017    14095 filter.has_basis_iff
0.000016    14096 filter.has_basis_self
0.000017    14097 symmetric_rel
0.000018    14098 symmetrize_rel
0.000029    14099 symmetrize_mem_uniformity
0.000016    14100 symmetrize_rel.equations._eqn_1
0.000018    14101 symmetric_rel.equations._eqn_1
0.000017    14102 set.preimage_comp
0.000015    14103 symmetric_symmetrize_rel
0.000014    14104 comp_rel_mono
0.000017    14105 set.sep_subset
2.212980    14106 symmetrize_rel_subset_self
0.000078    14107 comp_symm_mem_uniformity_sets
0.000024    14108 subset_comp_self
0.000015    14109 subset_comp_self_of_mem_uniformity
0.000014    14110 comp_comp_symm_mem_uniformity_sets
0.000014    14111 filter.has_basis.cluster_pt_iff
0.000016    14112 sort.inhabited
0.000014    14113 sort.inhabited'
0.000014    14114 filter.has_basis_principal
0.000014    14115 mem_closure_iff_nhds_basis'
0.000014    14116 mem_closure_iff_nhds_basis
0.000014    14117 filter.has_basis.prod'
0.000018    14118 ball_mono
0.000017    14119 uniform_space.mem_nhds_iff_symm
0.000017    14120 uniform_space.has_basis_nhds
0.000016    14121 symmetric_rel_inter
0.000014    14122 uniform_space.has_basis_nhds_prod
0.000017    14123 mem_ball_symmetry
0.000017    14124 mem_comp_comp
0.000017    14125 closure_eq_uniformity
0.000015    14126 uniformity_has_basis_closed
0.000014    14127 uniformity_has_basis_closure
0.000014    14128 separation_rel_eq_inter_closure
0.000018    14129 is_closed_separation_rel
0.000017    14130 separated_space_iff
0.000017    14131 separated_equiv
0.000015    14132 separated_def
0.000014    14133 separated_def'
0.000016    14134 filter.inf_eq_bot_iff
0.000015    14135 disjoint.mono
0.000018    14136 filter.not_ne_bot
0.000017    14137 t2_iff_nhds
0.000015    14138 separated_iff_t2
0.000014    14139 set.compl_inter_self
0.000017    14140 separated_regular._match_1
0.000015    14141 closure_eq_cluster_pts
0.000018    14142 cluster_pt.equations._eqn_1
0.000017    14143 set.prod_mk_mem_set_prod_eq
0.000015    14144 filter.prod_eq_bot
0.000014    14145 filter.prod_ne_bot
0.000018    14146 filter.prod_inf_prod
0.000015    14147 closure_prod_eq
0.000016    14148 mem_closure_iff_nhds_ne_bot
0.000018    14149 filter.lift_lift_same_le_lift
0.000016    14150 filter.lift_lift_same_eq_lift
0.000017    14151 filter.lift_lift'_same_eq_lift'
0.000017    14152 nhds_eq_uniformity_prod
0.000017    14153 filter.map_lift'_eq2
0.000016    14154 filter.inhabited_mem
0.000017    14155 filter.lift'_inf_principal_eq
0.000017    14156 filter.infi_ne_bot_of_directed'
0.000017    14157 filter.infi_ne_bot_iff_of_directed'
0.000017    14158 subtype.forall'
0.000017    14159 filter.lift_ne_bot_iff
0.000016    14160 filter.principal_eq_bot_iff
0.000017    14161 filter.principal_ne_bot_iff
0.000017    14162 filter.lift'_ne_bot_iff
0.000016    14163 set.monotone_inter
0.000017    14164 closure_eq_inter_uniformity
0.000017    14165 separated_regular._match_2
0.000017    14166 separated_regular
0.000017    14167 eq_of_le_of_forall_le_of_dense
0.000017    14168 eq_of_forall_dist_le
0.000016    14169 metric.metric_space.to_separated
0.000017    14170 asymptotics.is_o_norm_norm
0.000017    14171 asymptotics.is_o.of_norm_norm
0.000017    14172 asymptotics.is_o.norm_norm
0.000017    14173 asymptotics.is_O.smul_is_o
0.000017    14174 tendsto_zero_iff_norm_tendsto_zero
0.000016    14175 filter.tendsto.congr'
0.000017    14176 add_le_iff_nonpos_left
0.000017    14177 eventually_ne_of_tendsto_norm_at_top
0.000017    14178 continuous.dist
0.000017    14179 continuous_norm
0.000017    14180 tangent_cone_at.lim_zero
0.000016    14181 ge_mem_nhds
0.000017    14182 asymptotics.is_O_const_of_tendsto
0.000017    14183 asymptotics.is_O_one_of_tendsto
0.000017    14184 has_fderiv_within_at.lim
0.000017    14185 has_fderiv_within_at.unique_on
0.000016    14186 unique_diff_within_at.eq
0.000017    14187 unique_diff_within_at.equations._eqn_1
0.000017    14188 normed_field.norm_pow
0.000016    14189 tangent_cone_univ
0.000017    14190 submodule.has_top._proof_1
0.000017    14191 submodule.has_top._proof_2
0.000016    14192 submodule.has_top._proof_3
0.000017    14193 submodule.has_top
0.000017    14194 submodule.order_top._proof_1
0.000017    14195 submodule.order_top._proof_2
0.000017    14196 submodule.order_top._proof_3
0.000017    14197 submodule.order_top._proof_4
0.000017    14198 submodule.order_top._proof_5
0.000017    14199 submodule.order_top
0.000017    14200 eq_top_iff
0.000017    14201 set_like.le_def
0.000016    14202 submodule.span_univ
0.000018    14203 submodule.top_coe
0.000017    14204 dense_univ
0.000015    14205 is_closed_univ
0.000016    14206 closure_univ
0.000017    14207 unique_diff_within_at_univ
0.000017    14208 has_fderiv_within_at.equations._eqn_1
0.000017    14209 has_fderiv_within_at_univ
0.000017    14210 has_fderiv_at.unique
0.000017    14211 metric.eventually_nhds_iff_ball
0.000017    14212 metric.is_open_iff
0.000017    14213 add_lt_add_of_lt_of_le
0.000017    14214 metric.ball_subset
0.000017    14215 metric.exists_ball_subset_ball
0.000017    14216 metric.is_open_ball
0.000017    14217 metric.mem_ball_self
0.000017    14218 metric.ball_mem_nhds
0.000017    14219 restrict_scalars.normed_group
0.000017    14220 normed_space.restrict_scalars._proof_1
0.000017    14221 normed_space.restrict_scalars._proof_2
0.000017    14222 normed_space.restrict_scalars._proof_3
0.000017    14223 normed_space.restrict_scalars
0.000017    14224 restrict_scalars.normed_space
0.000017    14225 is_R_or_C.to_normed_algebra
0.000017    14226 vector_space
0.000016    14227 convex
0.000017    14228 has_deriv_within_at
0.949963    14229 mem_closure_of_tendsto
0.000076    14230 continuous_within_at.mem_closure_image
0.000024    14231 continuous_within_at.mem_closure
0.000015    14232 continuous_within_at.prod
0.000014    14233 continuous_within_at.closure_le
0.000014    14234 closure_Ioi
0.000016    14235 continuous_within_at.mono
0.000014    14236 continuous_within_at_univ
0.000013    14237 continuous_at.continuous_within_at
0.000019    14238 continuous.continuous_within_at
0.000017    14239 continuous_within_at_const
0.000016    14240 continuous_within_at.add
0.000015    14241 continuous_within_at.mul
0.000016    14242 continuous_within_at_id
0.000015    14243 is_closed_induced_iff
0.000017    14244 set.restrict_eq
0.000018    14245 set.preimage_image_eq
0.000016    14246 function.injective.image_injective
0.000015    14247 subtype.preimage_coe_eq_preimage_coe_iff
0.000015    14248 continuous_on_iff_is_closed
0.000016    14249 continuous_on.preimage_closed_of_closed
0.000017    14250 continuous_on.prod
0.000017    14251 nhds_within_Ioi_ne_bot
0.000017    14252 nhds_within_Ioi_self_ne_bot
0.000017    14253 and.imp_left
0.000017    14254 set.Ioo_subset_Ico_self
0.000016    14255 set.Ioo_subset_Icc_self
0.000017    14256 Icc_mem_nhds_within_Ioi
0.000016    14257 sup_sdiff_right
0.000017    14258 sdiff_inf
0.000015    14259 sdiff_inf_self_right
0.000016    14260 sdiff_eq_sdiff_iff_inf_eq_inf
0.000017    14261 sdiff_eq_self_iff_disjoint
0.000017    14262 set.diff_eq_self
0.000017    14263 set.singleton_inter_nonempty
0.000017    14264 set.singleton_inter_eq_empty
0.000017    14265 set.diff_singleton_eq_self
0.000016    14266 has_deriv_within_at.equations._eqn_1
0.000017    14267 asymptotics.is_O_of_le
0.000017    14268 normed_field.norm_div
0.000017    14269 div_self
0.000017    14270 asymptotics.is_o.tendsto_0
0.000017    14271 div_mul_cancel_of_imp
0.000018    14272 asymptotics.is_o_iff_tendsto'
0.000017    14273 asymptotics.is_o_iff_tendsto
0.000017    14274 has_fderiv_at_filter_iff_tendsto
0.000017    14275 has_deriv_at_filter_iff_tendsto
0.000017    14276 homeomorph
0.000017    14277 homeomorph.to_equiv
0.000017    14278 homeomorph.has_coe_to_fun
0.000017    14279 add_units
0.000017    14280 add_units.val
0.000017    14281 add_units.has_coe
0.000017    14282 add_units.neg
0.000017    14283 add_units.val_neg
0.000017    14284 add_units.add_group._proof_1
0.000017    14285 add_units.neg_val
0.000017    14286 add_units.add_group._proof_2
0.000017    14287 add_units.cases_on
0.000017    14288 add_units.ext
0.000017    14289 add_units.add_group._proof_3
0.000017    14290 add_units.add_group._proof_4
0.000017    14291 add_units.add_group._proof_5
0.000017    14292 add_units.add_group._proof_6
0.000016    14293 add_units.add_group._proof_7
0.000017    14294 add_units.add_group._proof_8
0.000017    14295 add_units.add_group._proof_9
0.000017    14296 add_units.add_group._proof_10
0.000017    14297 add_units.add_group._proof_11
0.000017    14298 add_units.add_group._proof_12
0.000017    14299 add_units.add_group._proof_13
0.000017    14300 add_units.add_group._proof_14
0.000015    14301 add_units.add_group._proof_15
0.000015    14302 add_units.add_group._proof_16
0.000016    14303 add_units.add_group._proof_17
0.000017    14304 add_units.add_group._proof_18
0.000017    14305 add_units.add_group
0.000017    14306 add_units.add_neg
0.000017    14307 add_units.add_neg_cancel_right
0.000017    14308 add_units.add_right._proof_1
0.000017    14309 add_units.neg_add
0.000017    14310 add_units.neg_add_cancel_right
0.000017    14311 add_units.add_right._proof_2
0.000017    14312 add_units.add_right
0.000018    14313 to_add_units._proof_1
0.000017    14314 to_add_units._proof_2
0.000017    14315 to_add_units._proof_3
0.000016    14316 to_add_units
0.000018    14317 equiv.add_right
0.000016    14318 homeomorph.add_right._proof_1
0.000017    14319 homeomorph.add_right._proof_2
0.000017    14320 homeomorph.add_right._proof_3
0.000017    14321 homeomorph.add_right._proof_4
0.000017    14322 homeomorph.add_right
0.000018    14323 homeomorph.continuous_inv_fun
0.000017    14324 homeomorph.continuous_to_fun
0.000017    14325 homeomorph.symm
0.000017    14326 induced_iff_nhds_eq
0.000017    14327 inducing.nhds_eq_comap
0.000016    14328 inducing_of_inducing_compose
0.000017    14329 homeomorph.continuous
0.000017    14330 homeomorph.symm_apply_apply
0.000017    14331 homeomorph.symm_comp_self
0.000017    14332 induced_id
0.000017    14333 inducing_id
0.000017    14334 homeomorph.inducing
0.000017    14335 homeomorph.injective
0.000017    14336 homeomorph.embedding
0.000017    14337 homeomorph.nhds_eq_comap
0.000017    14338 homeomorph.apply_symm_apply
0.000017    14339 homeomorph.comap_nhds_eq
0.000016    14340 nhds_translation_add_neg
0.000018    14341 nhds_translation
0.000016    14342 filter.tendsto_iff_comap
0.000017    14343 tendsto_inf_principal_nhds_iff_of_forall_eq
0.000017    14344 no_zero_smul_divisors
0.000017    14345 no_zero_smul_divisors.eq_zero_or_eq_zero_of_smul_eq_zero
0.000017    14346 smul_eq_zero
0.000017    14347 units.smul_eq_zero
0.000017    14348 no_zero_smul_divisors.of_division_ring
0.000017    14349 sub_ne_zero
3.159665    14350 has_deriv_at_filter_iff_tendsto_slope
0.000080    14351 has_deriv_within_at_iff_tendsto_slope
0.000024    14352 has_deriv_within_at_iff_tendsto_slope'
0.000015    14353 sdiff_sup
0.000014    14354 sdiff_sdiff_left
0.000209    14355 sdiff_idem
0.000016    14356 has_deriv_within_at_diff_singleton
0.000015    14357 has_deriv_within_at_Ioi_iff_Ici
0.000019    14358 has_deriv_within_at.Ioi_of_Ici
0.000017    14359 Ioi_mem_nhds
0.000015    14360 image_le_of_liminf_slope_right_lt_deriv_boundary'
0.000015    14361 continuous_within_at.tendsto
0.000014    14362 set.maps_to
0.000014    14363 continuous_within_at.tendsto_nhds_within
0.000016    14364 continuous_within_at.comp
0.000017    14365 continuous_on.comp
0.000015    14366 set.subset_preimage_univ
0.000014    14367 continuous.comp_continuous_on
0.000014    14368 continuous_on.add
0.000014    14369 continuous_on.mul
0.000017    14370 continuous_within_at.sub
0.000015    14371 continuous_on.sub
0.000016    14372 has_fderiv_at_filter.has_deriv_at_filter
0.000018    14373 has_fderiv_at_filter.add
0.000017    14374 has_deriv_at_filter.add
0.000017    14375 has_deriv_within_at.add
0.000018    14376 has_fderiv_within_at_iff_has_deriv_within_at
0.000017    14377 has_fderiv_within_at.has_deriv_within_at
0.000017    14378 set.maps_to'
0.000017    14379 set.maps_to_image
0.000017    14380 continuous_within_at.tendsto_nhds_within_image
0.000017    14381 has_fderiv_within_at.continuous_within_at
0.000018    14382 has_fderiv_within_at.comp
0.000017    14383 has_fderiv_at.comp_has_fderiv_within_at
0.000017    14384 is_bounded_bilinear_map.has_fderiv_at
0.000017    14385 has_fderiv_at_filter.prod
0.000018    14386 has_fderiv_within_at.prod
0.000017    14387 has_fderiv_within_at.smul
0.000017    14388 has_deriv_within_at.smul
0.000017    14389 has_deriv_within_at.mul
0.000017    14390 has_fderiv_at_filter_const
0.000017    14391 has_deriv_at_filter_const
0.000018    14392 has_deriv_within_at_const
0.000015    14393 has_deriv_within_at.const_mul
0.000014    14394 has_deriv_at_filter.add_const
0.000017    14395 has_deriv_at_filter.sub_const
0.000017    14396 has_deriv_within_at.sub_const
0.000017    14397 continuous_linear_map.coe_id'
0.000015    14398 sub_sub_sub_cancel_left
0.000014    14399 has_fderiv_at_filter_id
0.000016    14400 has_deriv_at_filter_id
0.000019    14401 has_deriv_within_at_id
0.000016    14402 image_le_of_liminf_slope_right_le_deriv_boundary
0.000017    14403 filter.frequently.mp
0.000027    14404 set.diff_union_self
0.000015    14405 has_deriv_within_at.limsup_norm_slope_le
0.000015    14406 abs_norm_sub_norm_le
0.000017    14407 norm_sub_norm_le
0.000018    14408 has_deriv_within_at.limsup_slope_norm_le
0.000018    14409 sub_pos_of_lt
0.000016    14410 has_deriv_within_at.liminf_right_slope_norm_le
0.000017    14411 image_norm_le_of_norm_deriv_right_le_deriv_boundary'
0.000017    14412 has_deriv_at_filter.tendsto_nhds
0.000017    14413 has_deriv_at.continuous_at
0.000016    14414 has_fderiv_at.has_fderiv_at_filter
0.000017    14415 has_fderiv_at.has_fderiv_within_at
0.000017    14416 has_deriv_at.has_deriv_within_at
0.000017    14417 image_norm_le_of_norm_deriv_right_le_deriv_boundary
0.000017    14418 has_fderiv_at_filter.neg
0.000017    14419 has_deriv_at_filter.neg
0.000016    14420 has_deriv_at_filter.sub
0.000017    14421 has_deriv_within_at.sub
0.000017    14422 has_deriv_within_at_univ
0.000017    14423 has_deriv_at.mul
0.000016    14424 has_deriv_at_const
0.000017    14425 has_deriv_at.sub
0.000017    14426 has_deriv_at_id
0.000017    14427 norm_image_sub_le_of_norm_deriv_right_le_segment
0.000017    14428 has_deriv_within_at.continuous_within_at
0.000017    14429 has_fderiv_within_at_inter'
0.000017    14430 has_deriv_within_at_inter'
0.000017    14431 has_fderiv_within_at.mono
0.000017    14432 has_deriv_within_at.mono
0.000017    14433 has_deriv_within_at.nhds_within
0.000017    14434 norm_image_sub_le_of_norm_deriv_le_segment'
0.000017    14435 norm_image_sub_le_of_norm_deriv_le_segment_01'
0.000017    14436 has_deriv_within_at_iff_has_fderiv_within_at
0.000017    14437 has_fderiv_within_at.comp_has_deriv_within_at
0.000017    14438 segment
0.000016    14439 segment_eq_image
0.000017    14440 segment_eq_image'
0.000017    14441 convex.equations._eqn_1
0.000017    14442 segment.equations._eqn_1
0.000017    14443 segment_eq_image₂
0.000017    14444 convex_iff_segment_subset
0.000017    14445 convex.segment_subset
0.000017    14446 has_deriv_at_filter.const_add
0.000016    14447 has_deriv_at.const_add
0.000017    14448 has_deriv_within_at.smul_const
0.000017    14449 has_deriv_at.smul_const
0.000017    14450 continuous_linear_map.le_of_op_norm_le
0.000016    14451 convex.norm_image_sub_le_of_norm_has_fderiv_within_le
0.000017    14452 has_fderiv_at_filter.sub
0.000017    14453 has_fderiv_within_at.sub
0.000017    14454 continuous_linear_map.has_fderiv_within_at
0.000017    14455 convex.norm_image_sub_le_of_norm_has_fderiv_within_le'
0.000017    14456 set.sep_univ
1.644417    14457 ordered_semimodule
0.000078    14458 convex_on
0.000023    14459 ordered_semimodule.smul_lt_smul_of_pos
0.000015    14460 smul_lt_smul_of_pos
0.000014    14461 smul_le_smul_of_nonneg
0.000014    14462 convex_on.convex_lt
0.000015    14463 linear_ordered_comm_ring.to_ordered_semimodule
0.000014    14464 convex_on_dist
0.000014    14465 convex_univ
0.000013    14466 convex_ball
0.000019    14467 prod.dist_eq
0.000017    14468 ball_prod_same
0.000015    14469 has_strict_fderiv_at_of_has_fderiv_at_of_continuous_at
0.000016    14470 filter.eventually.self_of_nhds
0.000018    14471 eventually_nhds_iff
0.000015    14472 filter.eventually.eventually_nhds
0.000018    14473 eventually_eventually_nhds
0.000015    14474 has_fderiv_within_at_inter
0.000016    14475 has_fderiv_within_at.has_fderiv_at
0.000017    14476 filter.eventually_eq.has_fderiv_at_filter_iff
0.000015    14477 has_fderiv_at_filter.congr_of_eventually_eq
0.000014    14478 has_fderiv_within_at.congr_mono
0.000019    14479 has_fderiv_within_at.congr
0.000014    14480 continuous_linear_equiv
0.000015    14481 continuous_linear_equiv.to_linear_equiv
0.000014    14482 continuous_linear_equiv.to_continuous_linear_map._proof_1
0.000016    14483 continuous_linear_equiv.to_continuous_linear_map._proof_2
0.000017    14484 continuous_linear_equiv.continuous_to_fun
0.000015    14485 continuous_linear_equiv.to_continuous_linear_map
0.000019    14486 continuous_linear_equiv.continuous_linear_map.has_coe
0.000015    14487 linear_equiv.linear_map.has_coe
0.000014    14488 linear_isometry_equiv.to_linear_isometry
0.000016    14489 linear_isometry_equiv.isometry
0.000018    14490 linear_isometry_equiv.continuous
0.000018    14491 isometric
0.000016    14492 isometric.to_equiv
0.000017    14493 isometric.has_coe_to_fun
0.000017    14494 isometry.right_inv
0.000017    14495 isometric.isometry_to_fun
0.000017    14496 isometric.isometry
0.000017    14497 isometric.symm._proof_1
0.000016    14498 isometric.symm
0.000017    14499 linear_isometry_equiv.to_isometric
0.000017    14500 isometric.continuous
0.000017    14501 linear_isometry_equiv.continuous_linear_equiv.has_coe_t._proof_1
0.000017    14502 linear_isometry_equiv.continuous_linear_equiv.has_coe_t
0.000017    14503 linear_isometry_equiv.continuous_linear_map.has_coe_t
0.000017    14504 continuous_linear_equiv.has_coe_to_fun
0.000017    14505 continuous_linear_equiv.symm._proof_1
0.000017    14506 continuous_linear_equiv.symm._proof_2
0.000017    14507 continuous_linear_equiv.symm._proof_3
0.000017    14508 continuous_linear_equiv.symm._proof_4
0.000017    14509 continuous_linear_equiv.continuous_inv_fun
0.000017    14510 continuous_linear_equiv.symm
0.000017    14511 continuous_linear_equiv.symm_apply_apply
0.000017    14512 continuous_linear_equiv.symm_comp_self
0.000017    14513 continuous_linear_map.comp_assoc
0.000017    14514 continuous_linear_equiv.coe_symm_comp_coe
0.000017    14515 continuous_linear_map.id_comp
0.000016    14516 continuous_linear_equiv.has_fderiv_at
0.000017    14517 continuous_linear_equiv.comp_has_fderiv_within_at_iff
0.000017    14518 continuous_linear_equiv.apply_symm_apply
0.000017    14519 continuous_linear_equiv.coe_comp_coe_symm
0.000017    14520 continuous_linear_equiv.comp_has_fderiv_within_at_iff'
0.000017    14521 linear_isometry_equiv.comp_has_fderiv_within_at_iff'
0.000017    14522 coe_fn.equations._eqn_1
0.000017    14523 has_ftaylor_series_up_to_on.fderiv_within
0.000017    14524 has_ftaylor_series_up_to_on.zero_eq
0.000017    14525 has_ftaylor_series_up_to_on.has_fderiv_within_at
0.000017    14526 has_ftaylor_series_up_to_on.has_fderiv_at
0.000017    14527 has_ftaylor_series_up_to_on.eventually_has_fderiv_at
0.000017    14528 linear_isometry_equiv.continuous_at
0.000017    14529 continuous_within_at_inter
0.000017    14530 continuous_within_at.continuous_at
0.000017    14531 continuous_on.continuous_at
0.000017    14532 has_ftaylor_series_up_to_on.cont
0.000017    14533 has_ftaylor_series_up_to_on.has_strict_fderiv_at
0.000017    14534 set.insert_eq_of_mem
0.000017    14535 times_cont_diff_at.has_strict_fderiv_at'
0.000017    14536 times_cont_diff_at.has_strict_deriv_at'
0.000017    14537 proper_space
0.000017    14538 metric.cauchy_iff
0.000017    14539 totally_bounded
0.000017    14540 is_complete
0.000017    14541 ultrafilter
0.000017    14542 ultrafilter.to_filter
0.000016    14543 ultrafilter.filter.has_coe_t
0.000017    14544 ultrafilter.ne_bot'
0.000017    14545 ultrafilter.has_mem
0.000017    14546 filter.empty_nmem_sets
0.000015    14547 ultrafilter.ne_bot
0.000016    14548 ultrafilter.empty_not_mem
0.000017    14549 Sup_insert
0.000017    14550 set.sUnion_insert
0.000017    14551 filter.eventually.and
0.000016    14552 ultrafilter.le_of_le
0.000017    14553 ultrafilter.unique
0.000017    14554 ultrafilter.le_of_inf_ne_bot
0.000017    14555 ultrafilter.compl_not_mem_iff
0.000017    14556 ultrafilter.compl_mem_iff_not_mem
0.000017    14557 ultrafilter.mem_or_compl_mem
1.120652    14558 ultrafilter.em
0.000077    14559 ultrafilter.eventually_or
0.000024    14560 ultrafilter.union_mem_iff
0.000014    14561 ultrafilter.finite_sUnion_mem_iff
0.000015    14562 set.fintype_image._proof_1
0.000014    14563 set.fintype_image
0.000014    14564 set.finite.image
0.000014    14565 set.bex_image_iff
0.000015    14566 ultrafilter.finite_bUnion_mem_iff
0.000014    14567 ultrafilter.cauchy_of_totally_bounded
0.000014    14568 zorn.chain
0.000017    14569 filter.infi_ne_bot_of_directed
0.000018    14570 filter.nonempty_of_ne_bot
0.000017    14571 directed_of_chain
0.000015    14572 refl_of
0.000014    14573 is_refl.swap
0.000062    14574 ge.is_refl
0.000021    14575 set.forall_insert_of_forall
0.000015    14576 zorn.chain_insert
0.000014    14577 zorn.super_chain
0.000014    14578 zorn.succ_chain
0.000014    14579 zorn.chain_closure
0.000014    14580 zorn.max_chain
0.000017    14581 zorn.is_max_chain
0.000018    14582 zorn.chain_closure.drec
0.000017    14583 zorn.succ_chain.equations._eqn_1
0.000016    14584 zorn.succ_spec
0.000015    14585 zorn.succ_increasing
0.000014    14586 decidable.or_iff_not_imp_right
0.000018    14587 or_iff_not_imp_right
0.000015    14588 _private.779619327.chain_closure_succ_total_aux
0.000017    14589 set.sUnion_subset_iff
0.000017    14590 _private.3604490851.chain_closure_succ_total
0.000015    14591 zorn.chain_closure_succ_fixpoint
0.000014    14592 zorn.chain_closure_closure
0.000017    14593 zorn.chain_closure_succ_fixpoint_iff
0.000015    14594 zorn.is_max_chain.equations._eqn_1
0.000016    14595 decidable.not_forall_not
0.000018    14596 not_forall_not
0.000017    14597 zorn.super_of_not_max
0.000016    14598 zorn.chain_succ
0.000017    14599 zorn.chain_closure_total
0.000017    14600 zorn.chain_chain_closure
0.000017    14601 zorn.max_chain_spec
0.000017    14602 set.ssubset_def
0.000017    14603 set.ssubset_iff_insert
0.000017    14604 set.ssubset_insert
0.000016    14605 zorn.exists_maximal_of_chains_bounded
0.000017    14606 ultrafilter.exists_le
0.000017    14607 ultrafilter.of
0.000017    14608 ultrafilter.of_le
0.000017    14609 set.nonempty_diff
0.000017    14610 finset.set_bUnion_coe
0.000016    14611 filter.prod_same_eq
0.000017    14612 filter.mem_prod_same_iff
0.000017    14613 supr_supr_eq_left
0.000017    14614 finset.supr_singleton
0.000016    14615 finset.set_bUnion_singleton
0.000017    14616 totally_bounded_iff_filter
0.000017    14617 totally_bounded_iff_ultrafilter
0.000016    14618 filter.forall_ne_bot_le_iff
0.000017    14619 cluster_pt.mono
0.000017    14620 ultrafilter.le_of_inf_ne_bot'
0.000017    14621 cluster_pt.of_le_nhds
0.000017    14622 ultrafilter.cluster_pt_iff
0.000017    14623 compact_iff_ultrafilter_le_nhds
0.000016    14624 le_nhds_of_cauchy_adhp
0.000017    14625 compact_iff_totally_bounded_complete
0.000017    14626 proper_space.compact_ball
0.000017    14627 complete_of_proper
0.000016    14628 submodule.fg
0.000017    14629 is_noetherian
0.000017    14630 finite_dimensional
0.000017    14631 submodule.to_add_submonoid
0.000017    14632 submodule.comap._proof_1
0.000017    14633 submodule.comap._proof_2
0.000017    14634 submodule.comap._proof_3
0.000016    14635 submodule.comap
0.000017    14636 linear_map.ker
0.000016    14637 finsupp.lsum._proof_1
0.000017    14638 finsupp.sum_map_range_index
0.000017    14639 finsupp.sum_smul_index'
0.000017    14640 const_smul_hom
0.000016    14641 finset.smul_sum
0.000017    14642 finsupp.smul_sum
0.000017    14643 finsupp.lsum._proof_2
0.000017    14644 linear_map.to_add_monoid_hom_injective
0.000017    14645 finsupp.lhom_ext
0.000017    14646 linear_map.congr_fun
0.000016    14647 finsupp.lhom_ext'
0.000017    14648 finsupp.lsingle_apply
0.000017    14649 finsupp.lsum._proof_3
0.000017    14650 finsupp.lsum._proof_4
0.000017    14651 finsupp.lsum._proof_5
0.000016    14652 finsupp.lsum._proof_6
0.000017    14653 finsupp.lsum
0.000017    14654 finsupp.total._proof_1
0.000017    14655 finsupp.total
0.000016    14656 linear_independent
0.000017    14657 is_basis
0.000017    14658 linear_independent.restrict_of_comp_subtype
0.000017    14659 zorn.zorn_partial_order
0.000017    14660 zorn.zorn_subset
0.000014    14661 zorn.zorn_subset₀
0.000016    14662 set.sUnion_range
0.000017    14663 set.sUnion_eq_Union
0.000017    14664 finsupp.supported._proof_1
0.000017    14665 finset.coe_union
0.000017    14666 finsupp.supported._proof_2
0.000017    14667 finsupp.support_smul
0.000017    14668 finsupp.supported._proof_3
0.000016    14669 finsupp.supported
0.000017    14670 linear_independent.equations._eqn_1
0.000017    14671 submodule.complete_lattice._proof_1
0.000017    14672 submodule.complete_lattice._proof_2
0.000017    14673 submodule.complete_lattice._proof_3
0.000017    14674 submodule.complete_lattice._proof_4
0.000016    14675 _private.4162105895.le_Inf'
0.000017    14676 submodule.complete_lattice._match_1
0.000017    14677 submodule.complete_lattice._proof_5
0.000017    14678 submodule.complete_lattice._match_2
0.000016    14679 submodule.complete_lattice._proof_6
0.000017    14680 _private.556769737.Inf_le'
0.000017    14681 submodule.complete_lattice._proof_7
0.251820    14682 submodule.has_inf._proof_1
0.000076    14683 submodule.has_inf._proof_2
0.000024    14684 submodule.has_inf._proof_3
0.000015    14685 submodule.has_inf
0.000014    14686 submodule.complete_lattice._proof_8
0.000014    14687 submodule.complete_lattice._proof_9
0.000014    14688 submodule.complete_lattice._proof_10
0.000014    14689 submodule.complete_lattice._proof_11
0.000015    14690 submodule.order_bot._proof_1
0.000016    14691 submodule.order_bot._proof_3
0.000017    14692 submodule.order_bot._proof_4
0.000018    14693 submodule.mem_bot
0.000015    14694 submodule.order_bot._proof_5
0.000017    14695 submodule.order_bot
0.000015    14696 submodule.complete_lattice._proof_12
0.000015    14697 submodule.complete_lattice._proof_13
0.000016    14698 submodule.complete_lattice._proof_14
0.000017    14699 submodule.complete_lattice._proof_15
0.000017    14700 submodule.complete_lattice._proof_16
0.000017    14701 submodule.complete_lattice
0.000017    14702 submodule.mem_top
0.000015    14703 submodule.disjoint_def
0.000014    14704 linear_map.mem_ker
0.000018    14705 linear_map.disjoint_ker
0.000015    14706 linear_map.ker_eq_bot'
0.000018    14707 linear_independent_iff
0.000016    14708 finsupp.total_apply
0.000015    14709 finsupp.mem_supported
0.000014    14710 finset.subtype._proof_1
0.000018    14711 finset.subtype._proof_2
0.000015    14712 finset.subtype
0.000014    14713 finset.subtype.equations._eqn_1
0.000014    14714 function.embedding.coe_fn_mk
0.000017    14715 finset.mem_subtype
0.000016    14716 finsupp.subtype_domain._proof_1
0.000016    14717 finsupp.subtype_domain
0.000014    14718 finsupp.support_subtype_domain
0.000018    14719 finset.subtype_eq_empty
0.000015    14720 finsupp.subtype_domain_eq_zero_iff'
0.000016    14721 finsupp.subtype_domain_eq_zero_iff
0.000018    14722 multiset.pmap_eq_map
0.000017    14723 multiset.pmap_eq_map_attach
0.000017    14724 multiset.map_eq_map_of_bij_of_nodup
0.000016    14725 finset.sum_bij
0.000017    14726 finsupp.sum_subtype_domain_index
0.000017    14727 exists_unique
0.000017    14728 quotient.rec_on
0.000017    14729 list.choose_x._match_2
0.000017    14730 list.choose_x._match_1
0.000017    14731 list.choose_x._main
0.000017    14732 list.choose_x
0.000016    14733 exists_of_exists_unique
0.000018    14734 multiset.choose_x._proof_1
0.000017    14735 multiset.choose_x._proof_2
0.000017    14736 multiset.choose_x
0.000016    14737 finset.choose_x
0.000017    14738 finset.choose
0.000017    14739 exists_unique.intro
0.000017    14740 function.embedding.injective
0.000017    14741 finsupp.emb_domain._match_1
0.000017    14742 finsupp.emb_domain._proof_1
0.000017    14743 finset.choose_spec
0.000017    14744 finset.choose_mem
0.000017    14745 ne.irrefl
0.000017    14746 false_of_ne
0.000017    14747 ne_self_iff_false
0.000017    14748 finsupp.emb_domain._proof_2
0.000017    14749 finsupp.emb_domain
0.000017    14750 function.embedding.subtype._proof_1
0.000017    14751 function.embedding.subtype
0.000017    14752 function.injective.eq_iff'
0.000017    14753 finset.choose_property
0.000015    14754 finsupp.emb_domain_apply
0.000014    14755 finsupp.emb_domain_injective
0.000017    14756 finsupp.emb_domain_zero
0.000017    14757 finsupp.emb_domain_eq_zero
0.000017    14758 finsupp.support_emb_domain
0.000017    14759 function.embedding.coe_subtype
0.000017    14760 finsupp.map_domain
0.000017    14761 finsupp.map_domain.equations._eqn_1
0.000017    14762 finsupp.map_domain_apply
0.000017    14763 finsupp.map_domain_notin_range
0.000017    14764 finsupp.emb_domain_notin_range
0.000017    14765 finsupp.emb_domain_eq_map_domain
0.000017    14766 finsupp.sum_map_domain_index
0.000017    14767 linear_independent_comp_subtype
0.000017    14768 linear_independent_subtype
0.000017    14769 linear_independent_of_finite
0.000017    14770 linear_independent_comp_subtype_disjoint
0.000017    14771 linear_independent_subtype_disjoint
0.000017    14772 disjoint.mono_left
0.000017    14773 finsupp.supported_mono
0.000016    14774 linear_independent.mono
0.000017    14775 finsupp.mem_supported'
0.000017    14776 finsupp.supported_empty
0.000017    14777 linear_independent_empty
0.000017    14778 linear_independent_Union_of_directed
0.000017    14779 linear_independent_sUnion_of_directed
0.000017    14780 zorn.chain.total_of_refl
0.000016    14781 zorn.chain.directed_on
0.000017    14782 set.union_singleton
0.000018    14783 nontrivial_iff
0.000016    14784 subsingleton_iff
0.000017    14785 not_nontrivial_iff_subsingleton
0.000017    14786 subsingleton_or_nontrivial
0.000017    14787 linear_independent_of_subsingleton
0.000017    14788 finsupp.map_domain_add
0.000017    14789 finsupp.lmap_domain._proof_1
0.000017    14790 finsupp.map_range_zero
0.000017    14791 finsupp.map_domain_zero
0.000017    14792 finsupp.map_range_add
0.000017    14793 finsupp.map_domain_single
0.000017    14794 finsupp.map_domain_smul
0.000017    14795 finsupp.lmap_domain
0.000017    14796 finsupp.lmap_domain_apply
0.000017    14797 finsupp.total_comp
0.000017    14798 linear_independent.comp
0.000017    14799 linear_independent_equiv
0.398973    14800 linear_independent_equiv'
0.000075    14801 linear_independent_subtype_range
0.000021    14802 finsupp.single_injective
0.000015    14803 finsupp.single_eq_single_iff
0.000014    14804 finsupp.add_comm_group._proof_1
0.000014    14805 finsupp.add_comm_group._proof_2
0.000014    14806 finsupp.add_comm_group._proof_3
0.000015    14807 finsupp.add_comm_group._proof_4
0.000014    14808 finsupp.add_comm_group._proof_5
0.000014    14809 finsupp.add_comm_group._proof_6
0.000016    14810 finsupp.add_comm_group._proof_7
0.000017    14811 finsupp.add_comm_group._proof_8
0.000017    14812 finsupp.add_comm_group
0.000015    14813 eq_add_of_sub_eq'
0.000015    14814 linear_independent.injective
0.000016    14815 linear_independent.to_subtype_range
0.000020    14816 linear_independent.to_subtype_range'
0.000015    14817 sum.elim
0.000016    14818 sum.inl_injective
0.000017    14819 sum.inr_injective
0.000015    14820 add_submonoid.map._proof_1
0.000014    14821 add_submonoid.map._proof_2
0.000017    14822 add_submonoid.map
0.000019    14823 submodule.map._proof_1
0.000015    14824 submodule.map._proof_2
0.000016    14825 submodule.map._proof_3
0.000017    14826 submodule.map
0.000015    14827 submodule.span_eq_of_le
0.000014    14828 finsupp.single_mem_supported
0.000017    14829 finsupp.total_single
0.000015    14830 submodule.map_le_iff_le_comap
0.000016    14831 add_submonoid.list_sum_mem
0.000017    14832 add_submonoid.multiset_sum_mem
0.000017    14833 add_submonoid.sum_mem
0.000017    14834 submodule.sum_mem
0.000017    14835 linear_map.coe_smul_right
0.000016    14836 linear_map.id_coe
0.000017    14837 finsupp.span_eq_map_total
0.000017    14838 submodule.mem_map
0.000016    14839 finsupp.mem_span_iff_total
0.000017    14840 set.inter_eq_Inter
0.000017    14841 set_like.ext
0.000017    14842 submodule.ext
0.000016    14843 set.subset_Inter_iff
0.000017    14844 submodule.Inf_coe
0.000017    14845 infi_range
0.000016    14846 set.bInter_range
0.000017    14847 submodule.infi_coe
0.000017    14848 submodule.mem_infi
0.000015    14849 finsupp.supported_Inter
0.000014    14850 infi_bool_eq
0.000017    14851 finsupp.supported_inter
0.000017    14852 set.disjoint_iff_inter_eq_empty
0.000016    14853 finsupp.disjoint_supported_supported
0.000017    14854 submodule.mem_inf
0.000017    14855 linear_independent_iff_injective_total
0.000017    14856 linear_independent.injective_total
0.000016    14857 linear_independent.disjoint_span_image
0.000017    14858 true_eq_false_of_false
0.000017    14859 set.is_compl_range_inl_range_inr
0.000017    14860 finsupp.lapply._proof_1
0.000016    14861 finsupp.lapply._proof_2
0.000017    14862 finsupp.lapply
0.000016    14863 finsupp.lapply_apply
0.000018    14864 linear_map.map_sum
0.000016    14865 linear_independent_iff'
0.000017    14866 submodule.disjoint_def'
0.000017    14867 sub_mul_action
0.000017    14868 sub_mul_action.carrier
0.000017    14869 sub_mul_action.cases_on
0.000017    14870 sub_mul_action.set_like._proof_1
0.000017    14871 sub_mul_action.set_like
0.000016    14872 neg_one_smul
0.000017    14873 sub_mul_action.smul_mem'
0.000016    14874 sub_mul_action.smul_mem
0.000017    14875 sub_mul_action.neg_mem
0.000017    14876 submodule.to_sub_mul_action
0.000016    14877 submodule.neg_mem
0.000017    14878 sum.inl.inj_arrow
0.000017    14879 sum.inr.inj_arrow
0.000017    14880 sum.decidable_eq
0.000028    14881 finset.disjoint_filter
0.000020    14882 set.disjoint_left
0.000018    14883 finset.filter_or
0.000017    14884 set.mem_union
0.000018    14885 set.range_inl_union_range_inr
0.000017    14886 finset.filter_true
0.000017    14887 linear_independent_sum
0.000018    14888 linear_independent.sum_type
0.000017    14889 sum.exists
0.000015    14890 sum.elim_inl
0.000016    14891 sum.elim_inr
0.000017    14892 set.sum.elim_range
0.000017    14893 linear_independent.union
0.000016    14894 unique.forall_iff
0.000017    14895 finsupp.unique_single
0.000017    14896 finsupp.total_unique
0.000017    14897 division_ring.to_nontrivial
0.000016    14898 finsupp.unique_ext
0.000017    14899 linear_independent_unique_iff
0.000017    14900 linear_independent_unique
0.000017    14901 linear_independent_singleton
0.000016    14902 submodule.mem_span_singleton
0.000017    14903 sub_mul_action.smul_of_tower_mem
0.000017    14904 sub_mul_action.smul_mem_iff'
0.000017    14905 sub_mul_action.smul_mem_iff
0.000016    14906 submodule.smul_mem_iff
0.000017    14907 submodule.disjoint_span_singleton
0.000017    14908 submodule.disjoint_span_singleton'
0.000017    14909 linear_independent.insert
0.000017    14910 set.subset_insert
0.000017    14911 exists_linear_independent
0.000017    14912 exists_subset_is_basis
0.000017    14913 exists_is_basis
0.000017    14914 is_irrefl
0.000016    14915 is_strict_order
0.000017    14916 well_founded.dcases_on
0.000017    14917 rel_embedding.swap._proof_1
0.000017    14918 rel_embedding.swap
0.000017    14919 is_trichotomous
0.000017    14920 is_asymm
0.000016    14921 is_trichotomous.trichotomous
0.000017    14922 trichotomous
0.000017    14923 is_irrefl.irrefl
0.000016    14924 irrefl
0.000017    14925 is_asymm.asymm
0.000017    14926 asymm
0.000017    14927 is_asymm.is_irrefl
0.274063    14928 rel_embedding.of_monotone._proof_1
0.000075    14929 rel_embedding.of_monotone._proof_2
0.000024    14930 rel_embedding.of_monotone
0.000015    14931 has_lt.lt.is_trichotomous
0.000014    14932 is_asymm_of_is_trans_of_is_irrefl
0.000015    14933 is_strict_order.to_is_trans
0.000014    14934 is_strict_order.to_is_irrefl
0.000014    14935 rel_embedding.nat_lt._proof_1
0.000015    14936 rel_embedding.nat_lt._proof_2
0.000014    14937 rel_embedding.nat_lt
0.000017    14938 irrefl_of
0.000017    14939 is_irrefl.swap
0.000018    14940 is_strict_order.swap
0.000017    14941 rel_embedding.nat_gt
0.000017    14942 nat.iterate._main
0.000015    14943 nat.iterate
0.000014    14944 function.iterate_succ
0.000017    14945 function.semiconj
0.000019    14946 function.semiconj.comp_eq
0.000015    14947 function.commute
0.000017    14948 function.semiconj.id_right
0.000017    14949 function.semiconj.eq
0.000015    14950 function.semiconj.comp_right
0.000014    14951 function.semiconj.iterate_right
0.000014    14952 function.commute.iterate_right
0.000014    14953 function.commute.refl
0.000016    14954 function.commute.self_iterate
0.000017    14955 function.iterate_succ'
0.000015    14956 rel_embedding.well_founded_iff_no_descending_seq
0.000014    14957 has_lt.lt.is_irrefl
0.000016    14958 gt.is_irrefl
0.000020    14959 has_lt.lt.is_trans
0.000015    14960 gt.is_trans
0.000016    14961 gt.is_strict_order
0.000017    14962 complete_lattice.is_compact_element
0.000017    14963 complete_lattice.is_Sup_finite_compact
0.000017    14964 complete_lattice.is_sup_closed_compact
0.000017    14965 well_founded.has_min
0.000017    14966 well_founded.well_founded_iff_has_min
0.000017    14967 well_founded.eq_iff_not_lt_of_le
0.000016    14968 well_founded.well_founded_iff_has_max'
0.000017    14969 finset.subset_insert
0.000017    14970 finset.sup_eq_Sup
0.000017    14971 is_least.mono
0.000017    14972 upper_bounds_mono_set
0.000017    14973 is_lub.mono
0.000017    14974 Sup_le_Sup
0.000017    14975 complete_lattice.well_founded.is_Sup_finite_compact
0.000016    14976 and_congr_left'
0.000017    14977 set.eq_singleton_iff_unique_mem
0.000017    14978 and_congr_left
0.000016    14979 set.eq_singleton_iff_nonempty_unique_mem
0.000017    14980 Sup_eq_bot
0.000017    14981 eq_singleton_bot_of_Sup_eq_bot_of_nonempty
0.000016    14982 finset.sup_of_mem
0.000017    14983 finset.sup'._match_1
0.000017    14984 finset.sup'
0.000017    14985 finset.sup'.equations._eqn_1
0.000017    14986 finset.coe_sup'
0.000017    14987 finset.sup'_le
0.000017    14988 finset.le_sup'
0.000016    14989 finset.sup'_eq_sup
0.000017    14990 with_bot.rec_bot_coe
0.000017    14991 finset.sup_induction
0.000017    14992 finset.sup'_induction
0.000017    14993 finset.sup_closed_of_sup_closed
0.000017    14994 complete_lattice.is_Sup_finite_compact.is_sup_closed_compact
0.000025    14995 rel_hom
0.000016    14996 rel_hom.to_fun
0.000014    14997 rel_hom.has_coe_to_fun
0.000017    14998 le_or_lt
0.000017    14999 strict_mono.monotone
0.000018    15000 rel_hom.map_rel'
0.000014    15001 rel_hom.map_rel
0.000017    15002 rel_hom.swap._proof_1
0.000017    15003 rel_hom.swap
0.000015    15004 rel_hom.map_sup
0.000017    15005 rel_embedding.to_rel_hom._proof_1
0.000017    15006 rel_embedding.to_rel_hom
0.000017    15007 complete_lattice.is_sup_closed_compact.well_founded
0.000017    15008 complete_lattice.is_Sup_finite_compact_iff_all_elements_compact
0.000017    15009 complete_lattice.well_founded_characterisations
0.000017    15010 is_noetherian.dcases_on
0.000017    15011 is_lub.supr_eq
0.000017    15012 galois_connection.l_supr
0.000017    15013 submodule.gi._proof_1
0.000016    15014 submodule.gi._proof_2
0.000017    15015 submodule.gi._proof_3
0.000017    15016 submodule.gi
0.000017    15017 submodule.span_Union
0.000016    15018 set.bUnion_of_singleton
0.000017    15019 submodule.span_eq_supr_of_singleton_spans
0.000017    15020 finset.sup_le_of_le_directed
0.000017    15021 set.nonempty_of_mem
0.000016    15022 multiset.sup_singleton
0.000017    15023 finset.sup_singleton
0.000018    15024 complete_lattice.is_compact_element_iff_le_of_directed_Sup_le
0.000016    15025 finset.image_empty
0.000017    15026 finset.image_union
0.000017    15027 finset.image_singleton
0.000017    15028 finset.image_insert
0.000017    15029 finset.sup_finset_image
0.000016    15030 complete_lattice.finset_sup_compact_of_compact
0.000017    15031 Sup_eq_supr'
0.000017    15032 submodule.span_eq
0.000017    15033 submodule.coe_supr_of_directed
0.000016    15034 submodule.mem_supr_of_directed
0.000017    15035 submodule.mem_Sup_of_directed
0.000017    15036 submodule.mem_span_singleton_self
0.000016    15037 submodule.singleton_span_is_compact_element
0.000017    15038 infi_image
0.000017    15039 supr_image
0.000017    15040 finset.subset_image_iff
0.000017    15041 submodule.fg_iff_compact
0.000016    15042 is_noetherian_iff_well_founded
0.000017    15043 well_founded_submodule_gt
0.000015    15044 nat_embedding_aux._main._pack._wf_rec_mk_dec_tactic._aux_1
0.000016    15045 _private.2924392639.nat_embedding_aux._main._pack
0.229819    15046 _private.2924392639.nat_embedding_aux._main
0.000076    15047 _private.2924392639.nat_embedding_aux
0.000024    15048 _private.2924392639.nat_embedding_aux._main._pack.equations._eqn_1
0.000015    15049 _private.2924392639.nat_embedding_aux._main.equations._eqn_1
0.000014    15050 _private.2924392639.nat_embedding_aux.equations._eqn_1
0.000014    15051 _private.1108035719.nat_embedding_aux_injective
0.000015    15052 infinite.nat_embedding
0.000014    15053 submodule.has_add._proof_1
0.000014    15054 submodule.has_add
0.000017    15055 add_submonoid.has_add._proof_1
0.000017    15056 add_submonoid.has_add
0.000017    15057 add_submonoid.has_zero
0.000016    15058 add_submonoid.to_add_comm_monoid._proof_1
0.000016    15059 add_submonoid.to_add_comm_monoid._proof_2
0.000019    15060 add_submonoid.to_add_comm_monoid._proof_3
0.000017    15061 add_submonoid.to_add_comm_monoid
0.000017    15062 submodule.add_comm_monoid._proof_1
0.000015    15063 submodule.has_zero
0.000015    15064 submodule.add_comm_monoid._proof_2
0.000016    15065 submodule.add_comm_monoid._proof_3
0.000017    15066 submodule.add_comm_monoid._proof_4
0.000017    15067 submodule.add_comm_monoid._proof_5
0.000017    15068 submodule.add_comm_monoid._proof_6
0.000017    15069 submodule.add_comm_monoid
0.000017    15070 submodule.smul_of_tower_mem
0.000017    15071 submodule.has_scalar._proof_1
0.000017    15072 submodule.has_scalar
0.000017    15073 sub_mul_action.has_scalar'._proof_1
0.000017    15074 sub_mul_action.has_scalar'
0.000017    15075 sub_mul_action.mul_action'._proof_1
0.000017    15076 sub_mul_action.mul_action'._proof_2
0.000017    15077 sub_mul_action.mul_action'
0.000017    15078 submodule.semimodule'._proof_1
0.000017    15079 submodule.semimodule'._proof_2
0.000017    15080 set_coe.ext
0.000017    15081 submodule.coe_smul_of_tower
0.000017    15082 submodule.coe_add
0.000017    15083 submodule.semimodule'._proof_3
0.000017    15084 submodule.coe_zero
0.000017    15085 submodule.semimodule'._proof_4
0.000016    15086 submodule.semimodule'._proof_5
0.000017    15087 submodule.semimodule'._proof_6
0.000017    15088 submodule.semimodule'
0.000017    15089 submodule.semimodule._proof_1
0.000017    15090 submodule.semimodule
0.000017    15091 linear_map.range
0.000017    15092 submodule.coe_mk
0.000016    15093 linear_map.cod_restrict._proof_1
0.000017    15094 linear_map.cod_restrict._proof_2
0.000017    15095 linear_map.cod_restrict
0.000017    15096 linear_map.range_coe
0.000017    15097 linear_map.mem_range
0.000017    15098 linear_map.mem_range_self
0.000017    15099 linear_map.range_restrict
0.000017    15100 linear_equiv.of_left_inverse._proof_1
0.000016    15101 linear_equiv.of_left_inverse._proof_2
0.000017    15102 submodule.inhabited
0.000018    15103 submodule.subtype._proof_1
0.000016    15104 submodule.coe_smul
0.000017    15105 submodule.subtype._proof_2
0.000017    15106 submodule.subtype
0.000017    15107 linear_equiv.of_left_inverse._match_1
0.000016    15108 linear_equiv.of_left_inverse._proof_3
0.000017    15109 linear_equiv.of_left_inverse
0.000017    15110 function.has_left_inverse
0.000017    15111 function.injective.has_left_inverse
0.000017    15112 add_subgroup.sub_mem
0.000017    15113 submodule.to_add_subgroup._proof_1
0.000017    15114 submodule.to_add_subgroup._proof_2
0.000017    15115 submodule.to_add_subgroup._proof_3
0.000017    15116 submodule.to_add_subgroup
0.000017    15117 submodule.sub_mem
0.000016    15118 linear_map.disjoint_ker'
0.000018    15119 linear_map.ker_eq_bot
0.000017    15120 linear_equiv.of_injective._proof_1
0.000017    15121 linear_equiv.of_injective._proof_2
0.000025    15122 linear_equiv.of_injective
0.000017    15123 linear_equiv.of_top._proof_1
0.000015    15124 linear_equiv.of_top._proof_2
0.000014    15125 linear_equiv.of_top._proof_3
0.000017    15126 linear_equiv.of_top._match_1
0.000017    15127 linear_equiv.of_top._proof_4
0.000015    15128 linear_equiv.of_top._proof_5
0.000014    15129 linear_equiv.of_top
0.000016    15130 linear_equiv.of_bijective
0.000017    15131 add_subgroup.has_add
0.000017    15132 add_subgroup.has_zero
0.000017    15133 add_subgroup.has_neg._proof_1
0.000017    15134 add_subgroup.has_neg
0.000016    15135 add_subgroup.has_sub._proof_1
0.000017    15136 add_subgroup.has_sub
0.000018    15137 add_subgroup.to_add_comm_group._proof_1
0.000017    15138 add_subgroup.to_add_comm_group._proof_2
0.000016    15139 add_subgroup.to_add_comm_group._proof_3
0.000017    15140 add_subgroup.to_add_comm_group._proof_4
0.000017    15141 add_subgroup.to_add_comm_group._proof_5
0.000017    15142 add_subgroup.to_add_comm_group
0.000017    15143 submodule.add_comm_group._proof_1
0.000016    15144 submodule.add_comm_group._proof_2
0.000017    15145 submodule.add_comm_group._proof_3
0.000017    15146 submodule.add_comm_group._proof_4
0.000017    15147 submodule.add_comm_group._proof_5
0.000017    15148 submodule.has_neg._proof_1
0.000017    15149 submodule.has_neg
0.516296    15150 submodule.add_comm_group._proof_6
0.000076    15151 submodule.add_comm_group._proof_7
0.000026    15152 submodule.add_comm_group._proof_8
0.000015    15153 submodule.add_comm_group
0.000014    15154 finsupp.range_total
0.000015    15155 linear_independent.total_equiv._proof_1
0.000014    15156 linear_map.ker.equations._eqn_1
0.000014    15157 linear_map.comap_cod_restrict
0.000014    15158 submodule.gc_map_comap
0.000019    15159 submodule.map_bot
0.000017    15160 linear_map.ker_cod_restrict
0.000015    15161 linear_independent.total_equiv._proof_2
0.000018    15162 linear_map.range.equations._eqn_1
0.000015    15163 linear_map.cod_restrict_apply
0.000014    15164 submodule.mem_comap
0.000017    15165 submodule.subtype_apply
0.000017    15166 linear_map.map_cod_restrict
0.000015    15167 linear_map.range_le_iff_comap
0.000014    15168 submodule.comap_top
0.000017    15169 submodule.map_top
0.000019    15170 submodule.map_comap_subtype
0.000017    15171 submodule.range_subtype
0.000017    15172 linear_independent.total_equiv._proof_3
0.000017    15173 linear_independent.total_equiv
0.000014    15174 linear_independent.repr
0.000014    15175 finsupp.single_of_emb_domain_single
0.000018    15176 finsupp.total_emb_domain
0.000015    15177 finsupp.total_map_domain
0.000016    15178 linear_independent.total_repr
0.000017    15179 surjective_of_linear_independent_of_span
0.000017    15180 subtype.mem
0.000017    15181 eq_of_linear_independent_of_span_subtype
0.000017    15182 le_of_span_le_span
0.000016    15183 submodule.span_mono
0.000017    15184 span_le_span_iff
0.000017    15185 set.image_subset_image_iff
0.000017    15186 finite_of_linear_independent
0.000016    15187 finite_dimensional.exists_is_basis_finite
0.000017    15188 finite_dimensional.exists_is_basis_finset
0.000017    15189 cardinal.is_equivalent._match_1
0.000017    15190 cardinal.is_equivalent._match_2
0.000017    15191 cardinal.is_equivalent._match_3
0.000017    15192 cardinal.is_equivalent._proof_1
0.000017    15193 cardinal.is_equivalent
0.000017    15194 cardinal
0.000017    15195 function.embedding.trans._proof_1
0.000016    15196 function.embedding.trans
0.000017    15197 function.embedding.congr
0.000017    15198 cardinal.has_le._match_1
0.000017    15199 cardinal.has_le._match_2
0.000017    15200 cardinal.has_le._match_3
0.000016    15201 cardinal.has_le._match_4
0.000017    15202 cardinal.has_le._proof_1
0.000017    15203 cardinal.has_le
0.000017    15204 function.injective_id
0.000017    15205 function.embedding.refl
0.000016    15206 cardinal.linear_order._proof_1
0.000017    15207 cardinal.linear_order._proof_2
0.000017    15208 cardinal.linear_order._proof_3
0.000017    15209 lfp
0.000016    15210 or_eq_of_eq_false_left
0.000017    15211 and_eq_of_eq_false_left
0.000017    15212 and_eq_of_eq_false_right
0.000017    15213 set.image_union
0.000016    15214 lfp_le
0.000017    15215 le_lfp
0.000017    15216 lfp_eq
0.000017    15217 function.embedding.schroeder_bernstein
0.000015    15218 function.embedding.antisymm
0.000014    15219 cardinal.linear_order._proof_4
0.000014    15220 ulift
0.000017    15221 ulift.down
0.000017    15222 ulift.cases_on
0.000016    15223 ulift.up_down
0.000018    15224 equiv.ulift._proof_1
0.000016    15225 equiv.ulift
0.000017    15226 _private.3580800523.sets
0.000017    15227 zorn.chain.total
0.000017    15228 function.embedding.min_injective
0.000017    15229 function.embedding.total
0.000017    15230 cardinal.linear_order._proof_5
0.000017    15231 cardinal.linear_order._proof_6
0.000017    15232 cardinal.linear_order._proof_7
0.000016    15233 cardinal.linear_order._proof_8
0.000017    15234 cardinal.linear_order._proof_9
0.000017    15235 cardinal.linear_order
0.000017    15236 quot.out
0.000017    15237 quotient.out
0.000017    15238 cardinal.min._proof_1
0.000017    15239 cardinal.min
0.000016    15240 vector_space.dim._proof_1
0.000017    15241 cardinal.mk
0.000017    15242 vector_space.dim
0.000017    15243 cardinal.lift._match_1
0.000016    15244 cardinal.lift._proof_1
0.000016    15245 cardinal.lift
0.000017    15246 cardinal.omega
0.000017    15247 cardinal.lift_id'
0.000017    15248 cardinal.lift_id
0.000016    15249 cardinal.min_eq
0.000017    15250 cardinal.mk_range_eq
0.000017    15251 is_basis.injective
0.000016    15252 sum.map._main
0.000017    15253 sum.map
0.000017    15254 sum.map_map
0.000017    15255 sum.map_id_id
0.000016    15256 equiv.sum_congr._proof_1
0.000017    15257 equiv.sum_congr._proof_2
0.000017    15258 equiv.sum_congr
0.000017    15259 cardinal.has_add._match_1
0.000017    15260 cardinal.has_add._match_2
0.000016    15261 cardinal.has_add._proof_1
0.000017    15262 cardinal.has_add
0.000017    15263 equiv.sum_assoc._proof_1
0.000017    15264 equiv.sum_assoc._proof_2
0.000017    15265 equiv.sum_assoc
0.000017    15266 cardinal.comm_semiring._proof_1
0.000017    15267 pempty
0.000017    15268 cardinal.has_zero
0.000017    15269 sum.swap._main
0.000017    15270 sum.swap
0.000017    15271 sum.swap_swap
0.000017    15272 equiv.sum_comm
0.000017    15273 pempty.cases_on
0.000017    15274 equiv.sum_pempty._proof_1
0.000017    15275 equiv.sum_pempty._proof_2
0.000017    15276 equiv.sum_pempty
0.000017    15277 equiv.pempty_sum
0.104474    15278 _private.3230180353.zero_add
0.000074    15279 _private.1698148731.add_comm
0.000025    15280 cardinal.comm_semiring._proof_2
0.000016    15281 add_comm_monoid.nsmul._default
0.000014    15282 semiring.nsmul._default
0.000014    15283 cardinal.comm_semiring._proof_3
0.000014    15284 cardinal.comm_semiring._proof_4
0.000014    15285 cardinal.comm_semiring._proof_5
0.000014    15286 prod.map_mk
0.000019    15287 equiv.prod_congr._match_1
0.000017    15288 equiv.prod_congr._proof_1
0.000017    15289 equiv.prod_congr._match_2
0.000015    15290 equiv.prod_congr._proof_2
0.000017    15291 equiv.prod_congr
0.000015    15292 cardinal.has_mul._match_1
0.000015    15293 cardinal.has_mul._match_2
0.000016    15294 cardinal.has_mul._proof_1
0.000017    15295 cardinal.has_mul
0.000016    15296 equiv.prod_assoc._match_1
0.000015    15297 equiv.prod_assoc._proof_1
0.000015    15298 equiv.prod_assoc._match_2
0.000014    15299 equiv.prod_assoc._proof_2
0.000014    15300 equiv.prod_assoc
0.000017    15301 cardinal.comm_semiring._proof_6
0.000017    15302 cardinal.has_one
0.000017    15303 equiv.prod_comm._match_1
0.000016    15304 equiv.prod_comm._proof_1
0.000017    15305 equiv.prod_comm._match_2
0.000017    15306 equiv.prod_comm._proof_2
0.000016    15307 equiv.prod_comm
0.000017    15308 equiv.prod_punit._match_1
0.000017    15309 equiv.prod_punit._proof_1
0.000017    15310 equiv.prod_punit._proof_2
0.000017    15311 equiv.prod_punit
0.000023    15312 equiv.punit_prod
0.000019    15313 _private.3967702453.one_mul
0.000017    15314 _private.2839425443.mul_comm
0.000018    15315 cardinal.comm_semiring._proof_7
0.000017    15316 cardinal.comm_semiring._proof_8
0.000017    15317 cardinal.comm_semiring._proof_9
0.000017    15318 cardinal.comm_semiring._proof_10
0.000017    15319 equiv.equiv_pempty._proof_1
0.000015    15320 equiv.equiv_pempty._proof_2
0.000014    15321 equiv.equiv_pempty
0.000017    15322 equiv.pempty_prod._match_1
0.000017    15323 equiv.pempty_prod._proof_1
0.000017    15324 equiv.pempty_prod
0.000016    15325 _private.3410667467.zero_mul
0.000017    15326 cardinal.comm_semiring._proof_11
0.000017    15327 equiv.sum_prod_distrib._match_1
0.000017    15328 equiv.sum_prod_distrib._match_2
0.000017    15329 equiv.sum_prod_distrib._proof_1
0.000017    15330 equiv.sum_prod_distrib._proof_2
0.000017    15331 equiv.sum_prod_distrib
0.000017    15332 equiv.prod_sum_distrib
0.000017    15333 _private.592668001.left_distrib
0.000017    15334 cardinal.comm_semiring._proof_12
0.000017    15335 cardinal.comm_semiring
0.000017    15336 function.embedding.of_not_nonempty._proof_1
0.000017    15337 function.embedding.of_not_nonempty._proof_2
0.000017    15338 function.embedding.of_not_nonempty
0.000017    15339 pempty.elim._main
0.000017    15340 pempty.elim
0.000017    15341 cardinal.zero_le
0.000017    15342 cardinal.order_bot
0.000017    15343 function.embedding.sum_map._match_1
0.000017    15344 function.embedding.sum_map._proof_1
0.000017    15345 function.embedding.sum_map
0.000017    15346 cardinal.add_le_add
0.000018    15347 cardinal.add_le_add_left
0.000017    15348 cardinal.canonically_ordered_comm_semiring._proof_1
0.000017    15349 cardinal.canonically_ordered_comm_semiring._proof_2
0.000017    15350 equiv.set.union'._proof_1
0.000017    15351 equiv.set.union'._proof_2
0.000017    15352 equiv.set.union'._match_1
0.000017    15353 equiv.set.union'._match_1._proof_1
0.000017    15354 equiv.set.union'._match_1.equations._eqn_1
0.000017    15355 equiv.set.union'._match_1._proof_2
0.000016    15356 equiv.set.union'._match_1.equations._eqn_2
0.000018    15357 equiv.set.union'._match_2
0.000017    15358 equiv.set.union'._proof_3
0.000017    15359 equiv.set.union'._proof_4
0.000017    15360 equiv.set.union'
0.000017    15361 equiv.set.union._proof_1
0.000017    15362 equiv.set.union._proof_2
0.000017    15363 equiv.set.union
0.000017    15364 equiv.set.sum_compl._proof_1
0.000016    15365 equiv.set.of_eq._proof_1
0.000017    15366 equiv.set.of_eq._proof_2
0.000017    15367 equiv.set.of_eq._proof_3
0.000017    15368 equiv.set.of_eq._proof_4
0.000017    15369 equiv.set.of_eq
0.000017    15370 equiv.set.sum_compl._proof_2
0.000017    15371 equiv.set.sum_compl
0.000017    15372 cardinal.le_iff_exists_add
0.000017    15373 empty
0.000017    15374 equiv.equiv_empty._proof_1
0.000017    15375 equiv.equiv_empty._proof_2
0.000016    15376 equiv.equiv_empty
0.000017    15377 equiv.empty_of_not_nonempty._proof_1
0.000017    15378 equiv.empty_of_not_nonempty
0.000017    15379 equiv.empty_equiv_pempty._proof_1
0.000017    15380 equiv.empty_equiv_pempty
0.000017    15381 cardinal.ne_zero_iff_nonempty
0.000017    15382 cardinal.eq_zero_or_eq_zero_of_mul_eq_zero
0.000017    15383 cardinal.canonically_ordered_comm_semiring
0.000016    15384 cardinal.lift_umax
0.000017    15385 cardinal.lift_mk_le
0.000017    15386 cardinal.lift_le
0.000017    15387 cardinal.lift_inj
0.000017    15388 cardinal.lift_lift
0.000017    15389 cardinal.lift_max
0.000017    15390 cardinal.lift_mk_eq
0.000017    15391 cardinal.mk_range_eq_of_injective
0.200435    15392 is_basis.repr._proof_1
0.000073    15393 submodule.eq_top_iff'
0.000024    15394 is_basis.mem_span
0.000015    15395 is_basis.repr
0.000014    15396 cardinal.sum
0.000014    15397 function.embedding.of_surjective
0.000016    15398 cardinal.mk_le_of_surjective
0.000014    15399 set.sigma_to_Union._proof_1
0.000014    15400 set.sigma_to_Union
0.000017    15401 set.sigma_to_Union_surjective
0.000017    15402 equiv.sigma_congr_right._match_1
0.000017    15403 equiv.sigma_congr_right._proof_1
0.000016    15404 equiv.sigma_congr_right._match_2
0.000015    15405 equiv.sigma_congr_right._proof_2
0.000014    15406 equiv.sigma_congr_right
0.000019    15407 quot.out_eq
0.000018    15408 cardinal.sum_mk
0.000017    15409 cardinal.mk_Union_le_sum_mk
0.000015    15410 sigma.map
0.000014    15411 function.injective.sigma_map
0.000015    15412 function.embedding.sigma_map._proof_1
0.000014    15413 function.embedding.sigma_map
0.000016    15414 cardinal.sum_le_sum
0.000017    15415 cardinal.lift_lt
0.000015    15416 function.embedding.equiv_of_surjective._proof_1
0.000014    15417 function.embedding.equiv_of_surjective
0.000017    15418 function.embedding.cod_restrict._proof_1
0.000015    15419 function.embedding.cod_restrict
0.000017    15420 cardinal.lift_down
0.000016    15421 cardinal.lt_lift_iff
0.000017    15422 cardinal.le_mk_iff_exists_set
0.000017    15423 equiv.pempty_equiv_pempty
0.000017    15424 cardinal.lift_zero
0.000017    15425 cardinal.lift_add
0.000016    15426 equiv.punit_equiv_punit._proof_1
0.000017    15427 equiv.punit_equiv_punit._proof_2
0.000017    15428 equiv.punit_equiv_punit
0.000017    15429 cardinal.lift_one
0.000016    15430 cardinal.lift_nat_cast
0.000017    15431 equiv.pempty_of_not_nonempty._proof_1
0.000017    15432 equiv.pempty_of_not_nonempty
0.000017    15433 sigma.fintype._match_1
0.000017    15434 sigma.fintype._proof_1
0.000016    15435 sigma.fintype
0.000017    15436 ulift.fintype
0.000017    15437 equiv.sum_equiv_sigma_bool._match_1
0.000017    15438 equiv.sum_equiv_sigma_bool._proof_1
0.000016    15439 equiv.sum_equiv_sigma_bool._proof_2
0.000017    15440 equiv.sum_equiv_sigma_bool
0.000017    15441 sum.fintype
0.000017    15442 punit.fintype
0.000017    15443 trunc.out
0.000017    15444 fintype.equiv_fin._proof_1
0.000017    15445 fintype.equiv_fin._proof_2
0.000017    15446 fintype.equiv_fin_of_forall_mem_list._proof_1
0.000017    15447 fintype.equiv_fin_of_forall_mem_list._proof_2
0.000017    15448 fintype.equiv_fin_of_forall_mem_list._proof_3
0.000017    15449 list.nth_le_of_mem
0.000016    15450 list.pairwise_iff_nth_le
0.000017    15451 list.nodup_iff_nth_le_inj
0.000017    15452 fintype.equiv_fin_of_forall_mem_list._match_1
0.000017    15453 fintype.equiv_fin_of_forall_mem_list._proof_4
0.000017    15454 fintype.equiv_fin_of_forall_mem_list
0.000017    15455 fintype.equiv_fin._proof_3
0.000017    15456 fintype.equiv_fin
0.000017    15457 fintype.card_eq
0.000016    15458 multiset.sum_zero
0.000017    15459 multiset.card_join
0.000017    15460 multiset.card_bind
0.000017    15461 multiset.card_sigma
0.000017    15462 finset.card_sigma
0.000017    15463 fintype.card_sigma
0.000017    15464 fintype.card_sum
0.000017    15465 fintype.card_punit
0.000017    15466 cardinal.mk_fin
0.000017    15467 cardinal.lift_mk_fin
0.000017    15468 cardinal.fintype_card
0.000017    15469 equiv.arrow_congr._proof_1
0.000017    15470 equiv.arrow_congr._proof_2
0.000017    15471 equiv.arrow_congr
0.000017    15472 cardinal.power._match_1
0.000016    15473 cardinal.power._match_2
0.000017    15474 cardinal.power._proof_1
0.000017    15475 cardinal.power
0.000016    15476 cardinal.has_pow
0.000017    15477 equiv.Prop_equiv_bool._proof_1
0.000017    15478 bool.to_bool_coe
0.000017    15479 equiv.Prop_equiv_bool._proof_2
0.000017    15480 equiv.Prop_equiv_bool
0.000017    15481 cardinal.prop_eq_two
0.000016    15482 ulift.no_confusion_type
0.000017    15483 ulift.no_confusion
0.000017    15484 ulift.up.inj
0.000017    15485 iff_not_self
0.000017    15486 function.cantor_surjective
0.000017    15487 function.cantor_injective
0.000017    15488 ulift.up.inj_arrow
0.000017    15489 cardinal.cantor
0.000017    15490 cardinal.succ._proof_1
0.000017    15491 cardinal.succ
0.000017    15492 cardinal.succ.equations._eqn_1
0.000016    15493 cardinal.lt_succ_self
0.000017    15494 quotient.out_eq
0.000017    15495 cardinal.mk_out
0.000017    15496 cardinal.min_le
0.000017    15497 cardinal.succ_le
0.000017    15498 cardinal.add_one_le_succ
0.000017    15499 finset.card_le_of_subset
0.000017    15500 finset.card_le_card_of_inj_on
0.000016    15501 fintype.card_le_of_injective
0.000018    15502 cardinal.nat_cast_le
0.000016    15503 cardinal.nat_cast_lt
0.000017    15504 cardinal.nat_succ
0.000017    15505 cardinal.omega.equations._eqn_1
0.000017    15506 cardinal.nat_lt_omega
0.000017    15507 cardinal.lt_omega
0.000015    15508 cardinal.lt_omega_iff_fintype
0.000016    15509 cardinal.lt_omega_iff_finite
0.000017    15510 cardinal.mk_def
0.000017    15511 cardinal.mul_def
0.000017    15512 cardinal.sum_const
0.000016    15513 cardinal.wf
0.000017    15514 is_strict_total_order'
0.000017    15515 is_well_order
0.083757    15516 Well_order
0.000065    15517 Well_order.cases_on
0.000020    15518 ordinal.is_equivalent._match_1
0.000015    15519 ordinal.is_equivalent._match_2
0.000014    15520 rel_iso.refl._proof_1
0.000015    15521 rel_iso.refl
0.000014    15522 ordinal.is_equivalent._match_3
0.000014    15523 ordinal.is_equivalent._match_4
0.000014    15524 ordinal.is_equivalent._match_5
0.000018    15525 ordinal.is_equivalent._match_6
0.000018    15526 ordinal.is_equivalent._match_7
0.000015    15527 ordinal.is_equivalent._match_8
0.000014    15528 ordinal.is_equivalent._match_9
0.000014    15529 ordinal.is_equivalent._match_10
0.000014    15530 ordinal.is_equivalent._match_11
0.000017    15531 ordinal.is_equivalent._proof_1
0.000016    15532 ordinal.is_equivalent
0.000017    15533 ordinal
0.000016    15534 well_founded.min
0.000015    15535 principal_seg
0.000025    15536 ordinal.lt._match_1
0.000019    15537 ordinal.lt._match_2
0.000017    15538 function.embedding.trans_apply
0.000017    15539 rel_embedding.trans._proof_1
0.000018    15540 rel_embedding.trans
0.000017    15541 principal_seg.to_rel_embedding
0.000016    15542 principal_seg.rel_embedding.has_coe
0.000017    15543 principal_seg.top
0.000017    15544 principal_seg.has_coe_to_fun
0.000017    15545 principal_seg.down
0.000017    15546 principal_seg.coe_fn_to_rel_embedding
0.000017    15547 rel_embedding.coe_trans
0.000017    15548 principal_seg.coe_coe_fn
0.000017    15549 rel_iso.coe_coe_fn
0.000017    15550 rel_iso.apply_symm_apply
0.000016    15551 principal_seg.equiv_lt._match_1
0.000017    15552 principal_seg.equiv_lt._match_2
0.000017    15553 principal_seg.equiv_lt._proof_1
0.000017    15554 principal_seg.equiv_lt
0.000016    15555 initial_seg
0.000017    15556 initial_seg.to_rel_embedding
0.000017    15557 initial_seg.rel_embedding.has_coe
0.000017    15558 initial_seg.has_coe_to_fun
0.000017    15559 initial_seg.init
0.000017    15560 initial_seg.init'
0.000017    15561 initial_seg.init_iff
0.000017    15562 principal_seg.down'
0.000017    15563 rel_embedding.trans_apply
0.000016    15564 principal_seg.lt_le._proof_1
0.000017    15565 principal_seg.lt_le
0.000017    15566 initial_seg.of_iso._proof_1
0.000017    15567 initial_seg.of_iso
0.000017    15568 ordinal.lt._match_3
0.000017    15569 ordinal.lt._match_4
0.000016    15570 ordinal.lt._match_5
0.000017    15571 ordinal.lt._match_6
0.000017    15572 ordinal.lt._match_7
0.000017    15573 ordinal.lt._match_8
0.000017    15574 ordinal.lt._match_9
0.000017    15575 ordinal.lt._match_10
0.000017    15576 ordinal.lt._proof_1
0.000016    15577 ordinal.lt
0.000017    15578 ordinal.has_lt
0.000017    15579 ordinal.type
0.000017    15580 ordinal.induction_on
0.000016    15581 subrel
0.000017    15582 is_strict_total_order'.to_is_trichotomous
0.000018    15583 is_trichotomous.dcases_on
0.000017    15584 rel_embedding.is_trichotomous
0.000017    15585 rel_embedding.is_irrefl
0.000017    15586 rel_embedding.is_strict_order
0.000017    15587 is_strict_total_order'.to_is_strict_order
0.000016    15588 rel_embedding.is_strict_total_order'
0.000018    15589 is_well_order.to_is_strict_total_order'
0.000017    15590 rel_embedding.acc
0.000016    15591 rel_embedding.well_founded
0.000017    15592 is_well_order.wf
0.000017    15593 rel_embedding.is_well_order
0.000017    15594 subrel.rel_embedding._proof_1
0.000017    15595 subrel.rel_embedding
0.000017    15596 subrel.is_well_order
0.000017    15597 ordinal.typein._proof_1
0.000017    15598 ordinal.typein
0.000016    15599 rel_iso.of_surjective._proof_1
0.000017    15600 rel_iso.of_surjective._proof_2
0.000017    15601 rel_iso.of_surjective
0.000016    15602 rel_embedding.cod_restrict
0.000017    15603 principal_seg.lt_top
0.000017    15604 ordinal.typein_top
0.000015    15605 ordinal.typein_surj
0.000015    15606 ordinal.le._match_1
0.000017    15607 ordinal.le._match_2
0.000017    15608 initial_seg.coe_fn_to_rel_embedding
0.000017    15609 initial_seg.trans._proof_1
0.000016    15610 initial_seg.trans
0.000017    15611 ordinal.le._match_3
0.000017    15612 ordinal.le._match_4
0.000016    15613 ordinal.le._match_5
0.000017    15614 ordinal.le._match_6
0.000017    15615 ordinal.le._match_7
0.000017    15616 ordinal.le._match_8
0.000016    15617 ordinal.le._match_9
0.000017    15618 ordinal.le._match_10
0.000017    15619 ordinal.le._proof_1
0.000017    15620 ordinal.le
0.000016    15621 ordinal.has_le
0.000017    15622 rel_embedding.refl._proof_1
0.000017    15623 rel_embedding.refl
0.000017    15624 initial_seg.refl._proof_1
0.000017    15625 initial_seg.refl
0.000017    15626 ordinal.partial_order._match_1
0.000017    15627 ordinal.partial_order._proof_1
0.000016    15628 ordinal.partial_order._match_2
0.000018    15629 ordinal.partial_order._match_3
0.000017    15630 ordinal.partial_order._match_4
0.000016    15631 ordinal.partial_order._match_5
0.000017    15632 ordinal.partial_order._match_6
0.000017    15633 ordinal.partial_order._proof_2
0.000016    15634 principal_seg.init
0.000017    15635 principal_seg.has_coe_initial_seg._proof_1
0.000017    15636 principal_seg.has_coe_initial_seg
0.000017    15637 is_well_order.is_trans
0.165358    15638 is_well_order.is_irrefl
0.000074    15639 is_extensional
0.000024    15640 initial_seg.cases_on
0.000014    15641 is_extensional.ext
0.000015    15642 initial_seg.unique_of_extensional
0.000014    15643 is_extensional_of_is_strict_total_order'
0.000014    15644 is_well_order.is_extensional
0.000014    15645 initial_seg.subsingleton
0.000014    15646 initial_seg.eq
0.000019    15647 principal_seg.irrefl
0.000017    15648 ordinal.partial_order._match_7
0.000017    15649 ordinal.partial_order._match_8
0.000015    15650 initial_seg.lt_or_eq._proof_1
0.000016    15651 is_well_order.is_trichotomous
0.000015    15652 initial_seg.eq_or_principal
0.000015    15653 initial_seg.lt_or_eq._proof_2
0.000016    15654 initial_seg.lt_or_eq
0.000017    15655 ordinal.partial_order._match_9
0.000015    15656 ordinal.partial_order._match_10
0.000015    15657 ordinal.partial_order._match_11
0.000014    15658 ordinal.partial_order._proof_3
0.000014    15659 initial_seg.antisymm.aux
0.000017    15660 initial_seg.antisymm._proof_1
0.000017    15661 initial_seg.antisymm._proof_2
0.000017    15662 initial_seg.antisymm
0.000016    15663 ordinal.partial_order._match_12
0.000017    15664 ordinal.partial_order._match_13
0.000017    15665 ordinal.partial_order._match_14
0.000017    15666 ordinal.partial_order._match_15
0.000017    15667 ordinal.partial_order._proof_4
0.000016    15668 ordinal.partial_order
0.000017    15669 principal_seg.of_element._match_1
0.000017    15670 principal_seg.of_element._proof_1
0.000017    15671 principal_seg.of_element
0.000017    15672 ordinal.typein_lt_type
0.000017    15673 principal_seg.trans
0.000017    15674 principal_seg.cases_on
0.000017    15675 principal_seg.subsingleton
0.000017    15676 principal_seg.cod_restrict._match_1
0.000016    15677 principal_seg.cod_restrict._proof_1
0.000017    15678 principal_seg.cod_restrict
0.000017    15679 ordinal.typein_lt_typein
0.000017    15680 ordinal.wf
0.000016    15681 ordinal.min._match_1
0.000017    15682 ordinal.min
0.000017    15683 cardinal.nontrivial
0.000017    15684 cardinal.le_sum
0.000017    15685 nonempty_embedding_to_cardinal
0.000016    15686 embedding_to_cardinal
0.000017    15687 well_ordering_rel
0.000018    15688 has_lt.lt.is_strict_total_order'
0.000017    15689 cardinal.wo
0.000017    15690 well_ordering_rel.is_well_order
0.000038    15691 cardinal.ord._proof_1
0.000019    15692 cardinal.ord._proof_2
0.000018    15693 sum.lex
0.000017    15694 sum.lex.dcases_on
0.000017    15695 sum.lex_inl_inl
0.000017    15696 sum.lex_inr_inl
0.000015    15697 sum.lex_inr_inr
0.000018    15698 sum.lex_acc_inr
0.000017    15699 sum.lex_acc_inl
0.000017    15700 sum.lex_wf
0.000015    15701 sum.lex.is_well_order
0.000014    15702 ordinal.has_add._match_3
0.000016    15703 ordinal.has_add._match_4
0.000017    15704 rel_iso.cases_on
0.000017    15705 equiv.sum_congr_apply
0.000017    15706 sum.map_inl
0.000017    15707 sum.map_inr
0.000016    15708 rel_iso.sum_lex_congr._proof_1
0.000017    15709 rel_iso.sum_lex_congr
0.000017    15710 ordinal.has_add._match_5
0.000017    15711 ordinal.has_add._match_6
0.000017    15712 ordinal.has_add._match_7
0.000017    15713 ordinal.has_add._match_8
0.000017    15714 ordinal.has_add._match_9
0.000017    15715 ordinal.has_add._match_10
0.000017    15716 ordinal.has_add._proof_1
0.000017    15717 ordinal.has_add
0.000016    15718 trichotomous_of
0.000017    15719 empty_relation
0.000017    15720 empty_relation.is_well_order
0.000017    15721 subsingleton_pempty
0.000017    15722 ordinal.has_zero
0.000016    15723 equiv.sum_assoc_apply_in1
0.000018    15724 equiv.sum_assoc_apply_in2
0.000017    15725 equiv.sum_assoc_apply_in3
0.000016    15726 ordinal.add_monoid._match_1
0.000017    15727 ordinal.add_monoid._match_2
0.000017    15728 ordinal.add_monoid._match_3
0.000017    15729 ordinal.add_monoid._proof_1
0.000017    15730 ordinal.add_monoid._proof_2
0.000017    15731 ordinal.add_monoid._proof_3
0.000016    15732 ordinal.add_monoid._proof_4
0.000018    15733 ordinal.add_monoid._proof_5
0.000016    15734 ordinal.add_monoid._proof_6
0.000017    15735 ordinal.add_monoid._proof_7
0.000017    15736 ordinal.add_monoid
0.000017    15737 rel_embedding.collapse._proof_1
0.000017    15738 is_well_order.is_asymm
0.000017    15739 rel_embedding.collapse_F._proof_1
0.000017    15740 rel_embedding.collapse_F._proof_2
0.000016    15741 well_founded.not_lt_min
0.000017    15742 rel_embedding.collapse_F._proof_3
0.000017    15743 rel_embedding.collapse_F
0.000016    15744 rel_embedding.collapse_F.equations._eqn_1
0.000017    15745 well_founded.min_mem
0.000017    15746 rel_embedding.collapse_F.lt
0.000017    15747 rel_embedding.collapse._proof_2
0.000016    15748 rel_embedding.collapse_F.not_lt
0.000017    15749 rel_embedding.collapse._proof_3
0.000017    15750 rel_embedding.collapse
0.000017    15751 ordinal.type_le'
0.000017    15752 ordinal.add_le_add_right
0.000017    15753 ordinal.zero_le
0.000017    15754 ordinal.le_add_left
0.000016    15755 ordinal.add_le_add_left
0.000017    15756 ordinal.le_add_right
0.000017    15757 ordinal.le_total
0.000017    15758 ordinal.linear_order
0.000017    15759 ordinal.min_le
0.214186    15760 ordinal.min_eq
0.000077    15761 ordinal.le_min
0.000024    15762 rel_iso.preimage._proof_1
0.000014    15763 rel_iso.preimage
0.000014    15764 cardinal.ord._proof_3
0.000014    15765 cardinal.ord
0.000015    15766 cardinal.ord_eq
0.000015    15767 partial_order_of_SO._proof_1
0.000014    15768 partial_order_of_SO._match_1
0.000014    15769 partial_order_of_SO._proof_2
0.000016    15770 partial_order_of_SO._match_3
0.000017    15771 partial_order_of_SO._proof_3
0.000015    15772 partial_order_of_SO._match_2
0.000019    15773 partial_order_of_SO._proof_4
0.000015    15774 partial_order_of_SO
0.000018    15775 linear_order_of_STO'._proof_1
0.000015    15776 linear_order_of_STO'._proof_2
0.000017    15777 linear_order_of_STO'._proof_3
0.000015    15778 linear_order_of_STO'._proof_4
0.000014    15779 linear_order_of_STO'._match_1
0.000014    15780 linear_order_of_STO'._proof_5
0.000019    15781 linear_order_of_STO'._proof_6
0.000017    15782 linear_order_of_STO'._proof_7
0.000017    15783 linear_order_of_STO'._proof_8
0.000016    15784 linear_order_of_STO'._proof_9
0.000015    15785 asymm_of
0.000014    15786 linear_order_of_STO'._proof_10
0.000014    15787 linear_order_of_STO'
0.000015    15788 prod.lex
0.000016    15789 ordinal.card._match_1
0.000018    15790 ordinal.card._match_2
0.000017    15791 ordinal.card._match_3
0.000016    15792 ordinal.card._match_4
0.000017    15793 ordinal.card._proof_1
0.000018    15794 ordinal.card
0.000016    15795 ordinal.card_le_card
0.000018    15796 prod.lex.is_well_order._match_2
0.000029    15797 prod.lex.is_well_order._match_1
0.000017    15798 prod.lex.is_well_order._match_3
0.000015    15799 prod.lex.is_well_order._match_4
0.000017    15800 prod.lex.dcases_on
0.000017    15801 prod.lex.is_well_order._match_5
0.000018    15802 prod.lex.rec_on
0.000017    15803 prod.lex_accessible
0.000017    15804 prod.lex_wf
0.000016    15805 prod.lex.is_well_order
0.000017    15806 ordinal.has_lt.lt.is_well_order
0.000017    15807 le_of_forall_lt
0.000017    15808 ordinal.card_type
0.000017    15809 cardinal.ord_le_type
0.000017    15810 cardinal.ord_le
0.000017    15811 cardinal.lt_ord
0.000017    15812 ordinal.has_one
0.000017    15813 ordinal.succ
0.000017    15814 prod.lex_def
0.000016    15815 injective_of_increasing
0.000017    15816 ordinal.typein_injective
0.000017    15817 ordinal.typein_inj
0.000017    15818 equiv.subtype_prod_equiv_prod._proof_1
0.000016    15819 equiv.subtype_prod_equiv_prod._proof_2
0.000017    15820 equiv.subtype_prod_equiv_prod._proof_3
0.000017    15821 equiv.subtype_prod_equiv_prod._match_1
0.000017    15822 equiv.subtype_prod_equiv_prod._proof_4
0.000017    15823 equiv.subtype_prod_equiv_prod._match_2
0.000017    15824 equiv.subtype_prod_equiv_prod._proof_5
0.000017    15825 equiv.subtype_prod_equiv_prod
0.000016    15826 equiv.set.prod
0.000017    15827 equiv.set.insert._proof_1
0.000017    15828 equiv.set.insert._proof_2
0.000017    15829 equiv.set.singleton._match_1
0.000017    15830 equiv.set.singleton._proof_1
0.000017    15831 equiv.set.singleton._match_2
0.000017    15832 equiv.set.singleton._proof_2
0.000017    15833 equiv.set.singleton
0.000017    15834 equiv.set.insert
0.000017    15835 set.decidable_set_of
0.000016    15836 cardinal.mul_lt_omega
0.000017    15837 ordinal.is_limit
0.000017    15838 cardinal.omega_ne_zero
0.000017    15839 ordinal.card_zero
0.000017    15840 ordinal.le_zero
0.000016    15841 cardinal.card_ord
0.000017    15842 ordinal.card_one
0.000016    15843 ordinal.card_add
0.000017    15844 ordinal.lift._match_2
0.000017    15845 ordinal.lift._match_3
0.000016    15846 ordinal.lift._match_4
0.000017    15847 ordinal.lift._match_5
0.000017    15848 ordinal.lift._proof_1
0.000017    15849 ordinal.lift
0.000016    15850 nat.lt.is_well_order
0.000018    15851 ordinal.omega
0.000017    15852 ordinal.omin._match_1
0.000016    15853 ordinal.omin
0.000017    15854 ordinal.sub._proof_1
0.000017    15855 ordinal.sub
0.000017    15856 ordinal.has_sub
0.000017    15857 quotient.decidable_eq._proof_1
0.000017    15858 quotient.decidable_eq._match_1
0.000017    15859 quotient.decidable_eq
0.000016    15860 sum.inl_ne_inr
0.000017    15861 ordinal.lt_succ_self
0.000017    15862 ordinal.succ_le
0.000017    15863 ordinal.succ_lt_of_not_succ
0.000017    15864 ordinal.zero_or_succ_or_limit
0.000017    15865 ordinal.add_succ
0.000016    15866 ordinal.omin_mem
0.000017    15867 ordinal.le_add_sub
0.000017    15868 ordinal.le_omin
0.000017    15869 ordinal.omin_le
0.000017    15870 ordinal.sub_le
0.000017    15871 ordinal.lt_sub
0.000017    15872 ordinal.enum._match_1
0.000017    15873 ordinal.type_eq
0.000017    15874 principal_seg.top_eq
0.000017    15875 ordinal.enum._match_2
0.000017    15876 ordinal.enum._match_3
0.000017    15877 ordinal.enum._match_4
0.000016    15878 ordinal.enum._proof_1
0.000017    15879 ordinal.enum
0.000017    15880 ordinal.is_limit.pos
0.000017    15881 ordinal.enum_type
0.000017    15882 ordinal.enum_typein
0.000017    15883 ordinal.typein_enum
0.000017    15884 ordinal.add_le_of_limit
0.000016    15885 ordinal.add_sub_cancel_of_le
0.000017    15886 ordinal.omega.equations._eqn_1
0.000017    15887 ordinal.one_eq_type_unit
0.000017    15888 ordinal.lift_one
2.387704    15889 ordinal.one_eq_lift_type_unit
0.000083    15890 ordinal.lift_add
0.000022    15891 ordinal.lift_umax
0.000015    15892 ordinal.lift_type_le
0.000014    15893 ordinal.lift_le
0.000014    15894 ordinal.type_add
0.000014    15895 has_lt.lt.is_asymm
0.000014    15896 ordinal.one_add_omega
0.000014    15897 ordinal.one_add_of_omega_le
0.000014    15898 ordinal.lift_lt
0.000018    15899 ordinal.lift_id'
0.000014    15900 ordinal.lift_id
0.000015    15901 ordinal.lift_type_eq
0.000016    15902 ordinal.lift_down'
0.000017    15903 ordinal.lift_card
0.000015    15904 ordinal.lift_down
0.000014    15905 ordinal.lt_lift_iff
0.000017    15906 cardinal.lift_omega
0.000019    15907 cardinal.ord_omega
0.000015    15908 cardinal.ord_le_ord
0.000017    15909 cardinal.add_one_of_omega_le
0.000015    15910 ordinal.succ_lt_of_is_limit
0.000014    15911 ordinal.le_succ_of_is_limit
0.000016    15912 ordinal.card_nat
0.000018    15913 cardinal.ord_lt_ord
0.000017    15914 cardinal.ord_nat
0.000015    15915 ordinal.nat_le_card
0.000014    15916 ordinal.nat_lt_card
0.000015    15917 ordinal.card_le_nat
0.000014    15918 ordinal.card_eq_nat
0.000016    15919 ordinal.lt_omega
0.000017    15920 ordinal.nat_lt_omega
0.000017    15921 ordinal.omega_pos
0.000017    15922 ordinal.omega_ne_zero
0.000017    15923 ordinal.omega_is_limit
0.000017    15924 ordinal.succ.equations._eqn_1
0.000017    15925 ordinal.card_succ
0.000016    15926 cardinal.ord_is_limit
0.000017    15927 canonically_ordered_semiring.mul_le_mul_left'
0.000017    15928 cardinal.one_lt_omega
0.000017    15929 cardinal.mul_eq_self
0.000017    15930 canonically_ordered_semiring.mul_le_mul_right'
0.000017    15931 cardinal.mul_eq_max
0.000017    15932 linear_independent.repr_eq
0.000016    15933 linear_independent.repr_eq_single
0.000017    15934 is_basis.repr_eq_single
0.000017    15935 set.union_insert
0.000017    15936 set.insert_subset_insert
0.000017    15937 submodule.span_insert_eq_span
0.000016    15938 submodule.span_union
0.000017    15939 submodule.mem_sup
0.000017    15940 exists_comm
0.000017    15941 submodule.mem_span_insert
0.000017    15942 mem_span_insert_exchange
0.000017    15943 set.union_subset_union
0.000017    15944 exists_of_linear_independent_of_finite_span
0.000017    15945 exists_finite_card_le_of_finite_of_linear_independent_of_span
0.000017    15946 cardinal.nat_cast_inj
0.000016    15947 fintype.card_coe
0.000017    15948 cardinal.finset_card
0.000017    15949 is_basis.le_span
0.000017    15950 mk_eq_mk_of_basis
0.000016    15951 mk_eq_mk_of_basis'
0.000017    15952 is_basis.range
0.000017    15953 is_basis.mk_eq_dim''
0.000017    15954 is_basis.mk_range_eq_dim
0.000017    15955 is_basis.mk_eq_dim
0.000016    15956 set.finite.exists_finset_coe
0.000017    15957 submodule.fg_def
0.000017    15958 submodule.span_image
0.000016    15959 submodule.fg_map
0.000017    15960 is_noetherian.noetherian
0.000017    15961 submodule.map_mono
0.000017    15962 submodule.map_comap_le
0.000016    15963 linear_map.map_comap_eq
0.000017    15964 linear_map.map_comap_eq_self
0.000017    15965 is_noetherian_of_surjective
0.000017    15966 set_like.coe_set_eq
0.000017    15967 set_like.ext'_iff
0.000016    15968 linear_map.range_eq_top
0.000017    15969 linear_equiv.range
0.000017    15970 is_noetherian_of_linear_equiv
0.000017    15971 submodule.restricted_module
0.000017    15972 is_noetherian_ring
0.000017    15973 is_noetherian_ring.to_is_noetherian
0.000017    15974 submodule.span_empty
0.000016    15975 submodule.fg_bot
0.000017    15976 or.by_cases.equations._eqn_1
0.000017    15977 finset.nonempty_of_sum_ne_zero
0.000017    15978 finset.sum_filter_ne_zero
0.000017    15979 finset.exists_ne_zero_of_sum_ne_zero
0.000017    15980 finsupp.support_sum
0.000016    15981 finset.mem_of_subset
0.000017    15982 finset.bUnion_mono
0.000017    15983 finset.bUnion_singleton
0.000016    15984 finsupp.map_domain_support
0.000018    15985 finsupp.supported_comap_lmap_domain
0.000016    15986 function.inv_fun_on_mem
0.000017    15987 finsupp.map_domain_comp
0.000017    15988 finsupp.lmap_domain_comp
0.000016    15989 finsupp.map_domain_congr
0.000017    15990 finsupp.map_domain_id
0.000017    15991 finsupp.lmap_domain_supported
0.000016    15992 submodule.fg_of_fg_map_of_fg_inf_ker
0.000017    15993 is_noetherian_prod._match_1
0.000017    15994 is_noetherian_prod
0.000017    15995 is_noetherian_pi
0.000017    15996 is_noetherian_of_fg_of_noetherian
0.000016    15997 ideal
0.000015    15998 submodule.is_principal
0.000016    15999 is_principal_ideal_ring
0.000017    16000 is_noetherian_ring_iff
0.000017    16001 submodule.is_principal.principal
0.000017    16002 is_principal_ideal_ring.principal
0.000016    16003 principal_ideal_ring.is_noetherian_ring
0.000017    16004 decidable.or_iff_not_and_not
0.000017    16005 or_iff_not_and_not
0.000017    16006 euclidean_domain.integral_domain._proof_1
0.000017    16007 euclidean_domain.integral_domain
0.000016    16008 ideal.span
0.000017    16009 ideal.mem_span_singleton'
0.000017    16010 ideal.mem_span_singleton
0.000017    16011 euclidean_domain.mod_eq_zero
0.000016    16012 ideal.add_mem
0.000017    16013 ideal.mul_mem_left
1.690814    16014 ideal.mul_mem_right
0.000074    16015 euclidean_domain.mod_eq_sub_mul_div
0.000023    16016 ideal.sub_mem
0.000015    16017 mod_mem_iff
0.000015    16018 euclidean_domain.to_principal_ideal_domain._match_1
0.000014    16019 euclidean_domain.r_well_founded
0.000015    16020 submodule.bot_coe
0.000014    16021 ideal.zero_mem
0.000014    16022 euclidean_domain.to_principal_ideal_domain
0.000018    16023 finite_dimensional.finite_dimensional_iff_dim_lt_omega
0.000017    16024 finsupp.lmap_domain_total
0.000017    16025 linear_map.ker_comp
0.000015    16026 finsupp.supported_univ
0.000017    16027 submodule.comap_bot
0.000015    16028 submodule.map_inf_eq_map_inf_comap
0.000017    16029 linear_independent.map
0.000017    16030 linear_independent.map'
0.000015    16031 linear_map.ker_eq_bot_of_injective
0.000015    16032 linear_equiv.ker
0.000017    16033 linear_equiv.coe_coe
0.000019    16034 linear_equiv.is_basis
0.000018    16035 linear_equiv.lift_dim_eq
0.000017    16036 linear_equiv.dim_eq
0.000015    16037 dim_top
0.000014    16038 linear_independent.of_comp
0.000017    16039 linear_independent_span
0.000019    16040 submodule.subtype_eq_val
0.000015    16041 set_like.coe_eq_coe
0.000017    16042 is_basis_span
0.000017    16043 dim_span
0.000016    16044 dim_span_set
0.000017    16045 cardinal.mk_le_mk_of_subset
0.000017    16046 dim_span_le
0.000017    16047 finite_dimensional.iff_fg
0.000017    16048 finite_dimensional.of_fintype_basis
0.000016    16049 prod.fintype._match_1
0.000017    16050 prod.fintype._proof_1
0.000017    16051 prod.fintype
0.000016    16052 ite_smul
0.000017    16053 finset.sum_extend_by_zero
0.000017    16054 linear_independent_iff''
0.000017    16055 add_monoid_hom.add_comm_monoid._proof_1
0.000017    16056 add_monoid_hom.has_zero._proof_1
0.000017    16057 add_monoid_hom.has_zero._proof_2
0.000017    16058 add_monoid_hom.has_zero
0.000016    16059 add_monoid_hom.add_comm_monoid._proof_2
0.000017    16060 add_monoid_hom.add_comm_monoid._proof_3
0.000017    16061 add_monoid_hom.add_comm_monoid._proof_4
0.000017    16062 add_monoid_hom.add_comm_monoid._proof_5
0.000017    16063 add_monoid_hom.add_comm_monoid._proof_6
0.000017    16064 add_monoid_hom.add_comm_monoid._proof_7
0.000017    16065 add_monoid_hom.add_comm_monoid._proof_8
0.000016    16066 add_monoid_hom.add_comm_monoid
0.000017    16067 add_monoid_hom.zero_apply
0.000017    16068 add_monoid_hom.flip._proof_1
0.000017    16069 add_monoid_hom.flip._proof_2
0.000017    16070 add_monoid_hom.flip._proof_3
0.000017    16071 add_monoid_hom.flip._proof_4
0.000016    16072 add_monoid_hom.flip
0.000017    16073 const_smul_hom_apply
0.000017    16074 smul_add_hom._proof_1
0.000017    16075 smul_add_hom._proof_2
0.000017    16076 smul_add_hom
0.000017    16077 finset.sum_smul
0.000017    16078 finset.subset_product
0.000017    16079 linear_independent_smul
0.000017    16080 set.has_scalar
0.000016    16081 set.mem_smul
0.000017    16082 set.range_smul_range
0.000018    16083 submodule.restrict_scalars._proof_1
0.000016    16084 submodule.restrict_scalars._proof_2
0.000017    16085 submodule.restrict_scalars
0.000017    16086 submodule.smul_mem_span_smul_of_mem
0.000017    16087 submodule.smul_mem_span_smul
0.000017    16088 submodule.smul_mem_span_smul'
0.000017    16089 submodule.span_smul
0.000017    16090 submodule.restrict_scalars_top
0.000016    16091 submodule.restrict_scalars_injective
0.000015    16092 submodule.restrict_scalars_inj
0.000015    16093 is_basis.smul
0.000016    16094 finite_dimensional.trans
0.000017    16095 is_R_or_C.I
0.000017    16096 is_R_or_C.re
0.000017    16097 is_R_or_C.im
0.000016    16098 is_R_or_C.algebra_map_coe
0.000017    16099 is_R_or_C.algebra_map_eq_of_real
0.000017    16100 is_R_or_C.re_add_im_ax
0.000016    16101 is_R_or_C.re_add_im
0.000017    16102 finite_dimensional.is_R_or_C_to_real
0.000017    16103 cardinal.to_nat._proof_1
0.000016    16104 cardinal.to_nat._proof_2
0.000017    16105 cardinal.to_nat
0.000017    16106 finite_dimensional.findim
0.000017    16107 nnnorm_smul
0.000017    16108 nnreal.bot_eq_zero
0.000017    16109 nnreal.mul_sup
0.000016    16110 nnreal.mul_finset_sup
0.000017    16111 pi.semi_normed_space._proof_1
0.000017    16112 pi.semi_normed_space
0.000017    16113 pi.normed_space._proof_1
0.000016    16114 pi.normed_space
0.000017    16115 linear_equiv.to_continuous_linear_equiv._proof_1
0.000017    16116 linear_equiv.to_continuous_linear_equiv._proof_2
0.000017    16117 linear_equiv.to_continuous_linear_equiv._proof_3
0.000016    16118 linear_equiv.to_continuous_linear_equiv._proof_4
0.000017    16119 module_equiv_finsupp._proof_1
0.000071    16120 module_equiv_finsupp._proof_2
0.000022    16121 module_equiv_finsupp
0.000017    16122 is_basis.equiv_fun._proof_1
0.000015    16123 is_basis.equiv_fun._proof_2
0.000014    16124 finsupp.equiv_fun_on_fintype._proof_1
0.000017    16125 finsupp.equiv_fun_on_fintype._proof_2
0.000019    16126 finsupp.equiv_fun_on_fintype._proof_3
0.000017    16127 finsupp.equiv_fun_on_fintype
0.000017    16128 is_basis.equiv_fun._proof_3
1.521127    16129 is_basis.equiv_fun._proof_4
0.000073    16130 is_basis.equiv_fun
0.000026    16131 pi.add_zero_class._proof_1
0.000014    16132 pi.add_zero_class._proof_2
0.000015    16133 pi.add_zero_class
0.000014    16134 add_monoid_hom.apply._proof_1
0.000015    16135 add_monoid_hom.apply._proof_2
0.000014    16136 add_monoid_hom.apply
0.000014    16137 finset.sum_apply
0.000016    16138 fintype.sum_apply
0.000019    16139 mul_ite
0.000016    16140 mul_boole
0.000017    16141 pi_eq_sum_univ
0.000015    16142 linear_map.pi_apply_eq_sum_univ
0.000015    16143 continuous_list_sum
0.000014    16144 continuous_multiset_sum
0.000017    16145 continuous_finset_sum
0.000017    16146 continuous_infi_dom
0.000017    16147 continuous_apply
0.000017    16148 linear_map.continuous_on_pi
0.000018    16149 empty.cases_on
0.000017    16150 empty.elim._main
0.000017    16151 empty.elim
0.000016    16152 empty.fintype._proof_1
0.000017    16153 empty.fintype
0.000018    16154 fintype.card_empty
0.000017    16155 fintype.card_eq_zero_iff
0.000018    16156 linear_map.proj._proof_1
0.000017    16157 linear_map.proj._proof_2
0.000018    16158 linear_map.proj
0.000017    16159 normal_space
0.000018    16160 normal_space.to_t1_space
0.000015    16161 locally_finite
0.000017    16162 paracompact_space
0.000018    16163 set_coe.forall'
0.000017    16164 option.elim._main
0.000018    16165 option.elim
0.000017    16166 set.exists_range_iff'
0.000018    16167 set.Union_eq_univ_iff
0.000017    16168 paracompact_space.locally_finite_refinement
0.000018    16169 precise_refinement
0.000018    16170 option.forall
0.000018    16171 is_lub_supr
0.000017    16172 supr_le_iff
0.000018    16173 supr_option
0.000015    16174 set.Union_option
0.000017    16175 option.elim._main.equations._eqn_1
0.000018    16176 option.elim.equations._eqn_1
0.000017    16177 option.elim._main.equations._eqn_2
0.000017    16178 option.elim.equations._eqn_2
0.000017    16179 set.compl_subset_iff_union
0.000017    16180 set.subset_compl_comm
0.000017    16181 locally_finite.comp_injective
0.000017    16182 precise_refinement_set
0.000017    16183 locally_finite.is_closed_Union
0.000018    16184 interior_mem_nhds
0.000017    16185 set.subset_eq_empty
0.000017    16186 is_closed_empty
0.000017    16187 closure_empty
0.000017    16188 closure_empty_iff
0.000017    16189 closure_nonempty_iff
0.000015    16190 set.nonempty.of_closure
0.000014    16191 closure_inter_open
0.000016    16192 closure_inter_open'
0.000016    16193 locally_finite.closure
0.000017    16194 locally_finite.closure_Union
0.000017    16195 set.compl_Union
0.000017    16196 disjoint_compl_right
0.000016    16197 normal_of_paracompact_t2
0.000017    16198 eq_of_forall_edist_le
0.000017    16199 to_separated
0.000017    16200 strong_rec'._main._pack._wf_rec_mk_dec_tactic._aux_1
0.000016    16201 nat.strong_rec'._main._pack
0.000018    16202 nat.strong_rec'._main
0.000016    16203 nat.strong_rec'
0.000017    16204 nat.strong_rec_on'
0.000017    16205 nat.strong_rec_on'.equations._eqn_1
0.000017    16206 nat.strong_rec'._main._pack.equations._eqn_1
0.000017    16207 nat.strong_rec'._main.equations._eqn_1
0.000017    16208 nat.strong_rec'.equations._eqn_1
0.000017    16209 nat.strong_rec_on_beta'
0.000017    16210 emetric.nhds_basis_eball
0.000017    16211 emetric.mem_nhds_iff
0.000016    16212 emetric.is_open_iff
0.000017    16213 ennreal.has_sub
0.000017    16214 bot_lt_iff_ne_bot
0.000017    16215 ennreal.bot_lt_iff_ne_bot
0.000016    16216 ennreal.sub_eq_zero_of_le
0.000017    16217 ennreal.forall_ennreal
0.000017    16218 ennreal.le_coe_iff
0.000017    16219 ennreal.top_sub_coe
0.000017    16220 ennreal.sub_infty
0.000017    16221 nnreal.has_sub
0.000017    16222 nnreal.coe_sub
0.000017    16223 nnreal.sub_eq_zero
0.000017    16224 nnreal.sub_le_iff_le_add
0.000017    16225 ennreal.coe_sub
0.000016    16226 nnreal.sub_def
0.000017    16227 nnreal.coe_max
0.000017    16228 nnreal.coe_mk
0.000016    16229 linear_ordered_add_comm_monoid
0.000017    16230 linear_ordered_add_comm_monoid.le
0.000017    16231 linear_ordered_add_comm_monoid.lt
0.000017    16232 linear_ordered_add_comm_monoid.le_refl
0.000016    16233 linear_ordered_add_comm_monoid.le_trans
0.000017    16234 linear_ordered_add_comm_monoid.lt_iff_le_not_le
0.000017    16235 linear_ordered_add_comm_monoid.le_antisymm
0.000017    16236 linear_ordered_add_comm_monoid.le_total
0.000017    16237 linear_ordered_add_comm_monoid.decidable_le
0.000016    16238 linear_ordered_add_comm_monoid.decidable_eq
0.000017    16239 linear_ordered_add_comm_monoid.decidable_lt
0.000017    16240 linear_ordered_add_comm_monoid.to_linear_order
0.000017    16241 linear_ordered_cancel_add_comm_monoid
0.000016    16242 linear_ordered_cancel_add_comm_monoid.le
0.000017    16243 linear_ordered_cancel_add_comm_monoid.lt
0.000016    16244 linear_ordered_cancel_add_comm_monoid.le_refl
0.000017    16245 linear_ordered_cancel_add_comm_monoid.le_trans
0.000017    16246 linear_ordered_cancel_add_comm_monoid.lt_iff_le_not_le
0.000017    16247 linear_ordered_cancel_add_comm_monoid.le_antisymm
0.000017    16248 linear_ordered_cancel_add_comm_monoid.le_total
0.874415    16249 linear_ordered_cancel_add_comm_monoid.decidable_le
0.000082    16250 linear_ordered_cancel_add_comm_monoid.decidable_eq
0.000021    16251 linear_ordered_cancel_add_comm_monoid.decidable_lt
0.000015    16252 linear_ordered_cancel_add_comm_monoid.add
0.000015    16253 linear_ordered_cancel_add_comm_monoid.add_assoc
0.000014    16254 linear_ordered_cancel_add_comm_monoid.zero
0.000014    16255 linear_ordered_cancel_add_comm_monoid.zero_add
0.000014    16256 linear_ordered_cancel_add_comm_monoid.add_zero
0.000014    16257 linear_ordered_cancel_add_comm_monoid.nsmul
0.000014    16258 linear_ordered_cancel_add_comm_monoid.nsmul_zero'
0.000017    16259 linear_ordered_cancel_add_comm_monoid.nsmul_succ'
0.000017    16260 linear_ordered_cancel_add_comm_monoid.add_comm
0.000017    16261 linear_ordered_cancel_add_comm_monoid.add_left_cancel
0.000015    16262 linear_ordered_cancel_add_comm_monoid.add_le_add_left
0.000019    16263 linear_ordered_cancel_add_comm_monoid.lt_of_add_lt_add_left
0.000015    16264 linear_ordered_cancel_add_comm_monoid.to_linear_ordered_add_comm_monoid
0.000016    16265 linear_ordered_add_comm_group.to_linear_ordered_cancel_add_comm_monoid._proof_1
0.000017    16266 linear_ordered_add_comm_group.to_linear_ordered_cancel_add_comm_monoid._proof_2
0.000017    16267 linear_ordered_add_comm_monoid.lt_of_add_lt_add_left._default
0.000015    16268 linear_ordered_add_comm_group.to_linear_ordered_cancel_add_comm_monoid._proof_3
0.000015    16269 linear_ordered_add_comm_group.to_linear_ordered_cancel_add_comm_monoid
0.000016    16270 linear_ordered_cancel_add_comm_monoid.le_of_add_le_add_left
0.000017    16271 linear_ordered_cancel_add_comm_monoid.to_ordered_cancel_add_comm_monoid
0.000017    16272 monotone.add
0.000017    16273 monotone.add_const
0.000017    16274 max_add_add_right
0.000017    16275 nnreal.sub_add_eq_max
0.000017    16276 nnreal.sub_add_cancel_of_le
0.000018    16277 ennreal.sub_add_cancel_of_le
0.000017    16278 ennreal.sub_add_self_eq_max
0.000017    16279 ennreal.le_sub_add_self
0.000017    16280 ennreal.sub_le_iff_le_add
0.000016    16281 ennreal.sub_eq_zero_iff_le
0.000017    16282 ennreal.zero_lt_sub_iff_lt
0.000017    16283 emetric.mem_ball
0.000017    16284 emetric.ball_subset
0.000017    16285 ennreal.add_sub_cancel_of_le
0.000016    16286 emetric.exists_ball_subset_ball
0.000018    16287 emetric.is_open_ball
0.000017    16288 ennreal.inv_one
0.000016    16289 ennreal.top_mul_top
0.000017    16290 ennreal.top_pow
0.000017    16291 ennreal.coe_pow
0.000017    16292 ennreal.inv_pow
0.000016    16293 nat.cast_bit0
0.000017    16294 nat.cast_pow
0.000017    16295 nat.pow_lt_pow_succ
0.000017    16296 nat.lt_pow_self
0.000016    16297 nat.lt_two_pow
0.000017    16298 ennreal.exists_inv_two_pow_lt
0.000017    16299 ennreal.div_zero_iff
0.000017    16300 ennreal.div_pos_iff
0.000017    16301 gt.lt
0.000016    16302 emetric.ball_subset_ball
0.000017    16303 emetric.mem_ball_self
0.000017    16304 canonically_ordered_semiring.pow_pos
0.000017    16305 ennreal.pow_pos
0.000018    16306 ennreal.coe_bit0
0.000017    16307 ennreal.coe_two
0.000017    16308 ennreal.two_ne_top
0.000017    16309 uniformity_basis_edist_inv_two_pow
0.000017    16310 emetric.ball_mem_nhds
0.000017    16311 set.fintype_Union._proof_1
0.000017    16312 set.fintype_Union
0.000017    16313 set.finite_Union
0.000017    16314 set.finite.bUnion
0.000017    16315 set.subsingleton
0.000016    16316 set.subsingleton.eq_singleton_of_mem
0.000017    16317 set.subsingleton.eq_empty_or_singleton
0.000017    16318 set.subsingleton.induction_on
0.000017    16319 set.subsingleton.finite
0.000017    16320 ennreal.inv_le_inv
0.000017    16321 ennreal.one_le_coe_iff
0.000016    16322 ennreal.pow_le_pow
0.000017    16323 ennreal.le_inv_iff_le_inv
0.000017    16324 ennreal.one_le_inv
0.000017    16325 ennreal.pow_le_pow_of_le_one
0.000017    16326 ennreal.inv_le_iff_inv_le
0.000017    16327 ennreal.inv_le_one
0.000017    16328 ennreal.one_lt_two
0.000017    16329 _private.1549444657.ne_from_not_eq
0.000018    16330 ennreal.mul_inv_cancel
0.000016    16331 bit0_zero
0.000017    16332 ennreal.bit0_inj
0.000017    16333 ennreal.bit0_eq_zero_iff
0.000018    16334 ennreal.bit0_eq_top_iff
0.000017    16335 ennreal.one_ne_top
0.000017    16336 bit1.equations._eqn_1
0.000017    16337 ne.lt_or_lt
0.000017    16338 int.comm_semiring
0.000016    16339 add_neg_of_neg_of_nonpos
0.000017    16340 sub_nonpos_of_le
0.000017    16341 neg_nonpos_of_nonneg
0.000017    16342 int.add_one_le_iff
0.000017    16343 nat.cast_bit1
0.000017    16344 ennreal.coe_nat_mono
0.000015    16345 ennreal.coe_nat_le_coe_nat
0.000016    16346 zero_lt_mul_left
0.000017    16347 one_lt_bit1
0.000016    16348 norm_num.lt_one_bit1
0.000017    16349 norm_num.le_one_bit1
0.000017    16350 emetric.paracompact_space
0.000017    16351 emetric.normal_of_emetric
0.000017    16352 subspace
0.000016    16353 emetric.inf_edist
0.000017    16354 metric.inf_dist
0.000017    16355 lt_div_iff'
0.000017    16356 norm_num.inv_div_one
1.409910    16357 norm_num.div_eq
0.000076    16358 norm_num.clear_denom_mul
0.000022    16359 norm_num.clear_denom_simple_nat
0.000015    16360 norm_num.clear_denom_simple_div
0.000015    16361 metric.inf_dist.equations._eqn_1
0.000014    16362 binfi_le
0.000014    16363 emetric.inf_edist_le_edist_of_mem
0.000014    16364 metric.inf_edist_ne_top
0.000014    16365 metric.inf_dist_le_dist_of_mem
0.000014    16366 emetric.inf_edist.equations._eqn_1
0.000014    16367 emetric.exists_edist_lt_of_inf_edist_lt
0.000018    16368 ennreal.to_real_lt_to_real
0.000017    16369 ennreal.of_real_ne_top
0.000015    16370 nnreal.zero_le_coe
0.000017    16371 ennreal.to_real_nonneg
0.000015    16372 metric.inf_dist_nonneg
0.000014    16373 metric.exists_dist_lt_of_inf_dist_lt
0.000016    16374 le_mul_iff_one_le_right
0.000018    16375 mul_lt_iff_lt_one_right
0.000017    16376 infi_le_infi_of_subset
0.000014    16377 emetric.inf_edist_le_inf_edist_of_subset
0.000015    16378 ennreal.half_pos
0.000014    16379 emetric.mem_closure_iff
0.000013    16380 ennreal.div_self
0.000014    16381 ennreal.zero_lt_two
0.000017    16382 ennreal.two_ne_zero
0.000017    16383 ennreal.inv_two_add_inv_two
0.000015    16384 ennreal.add_halves
0.000014    16385 emetric.inf_edist_closure
0.000017    16386 emetric.inf_edist_zero_of_mem
0.000019    16387 emetric.mem_closure_iff_inf_edist_zero
0.000017    16388 metric.mem_closure_iff_inf_dist_zero
0.000017    16389 metric.mem_iff_inf_dist_zero_of_closed
0.000017    16390 norm_num.clear_denom_lt
0.000017    16391 norm_num.ne_zero_of_pos
0.000017    16392 riesz_lemma
0.000016    16393 zero_le_mul_left
0.000017    16394 zero_le_bit0
0.000017    16395 nat.cast_two
0.000017    16396 two_ne_zero'
0.000016    16397 add_self_eq_zero
0.000017    16398 bit0_eq_zero
0.000017    16399 sub_eq_zero_of_eq
0.000017    16400 linear_map.continuous_iff_is_closed_ker
0.000017    16401 finite_dimensional.findim.equations._eqn_1
0.000017    16402 cardinal.to_nat_apply_of_lt_omega
0.000017    16403 cardinal.cast_to_nat_of_lt_omega
0.000017    16404 finite_dimensional.dim_lt_omega
0.000017    16405 finite_dimensional.findim_eq_dim
0.000016    16406 set.card_range_of_injective
0.000017    16407 finite_dimensional.dim_eq_card_basis
0.000017    16408 finite_dimensional.findim_eq_card_basis
0.000017    16409 submodule.quotient_rel._proof_1
0.000017    16410 submodule.quotient_rel
0.000016    16411 submodule.quotient
0.000017    16412 quotient.lift_on₂'
0.000017    16413 submodule.quotient.mk
0.000017    16414 quotient.eq'
0.000016    16415 submodule.quotient.eq
0.000017    16416 submodule.quotient.has_add._proof_1
0.000017    16417 submodule.quotient.has_add
0.000017    16418 submodule.quotient.quot_mk_eq_mk
0.000017    16419 submodule.quotient.mk_add
0.000017    16420 submodule.quotient.add_comm_group._proof_1
0.000017    16421 submodule.quotient.has_zero
0.000017    16422 submodule.quotient.mk_zero
0.000017    16423 submodule.quotient.add_comm_group._proof_2
0.000017    16424 submodule.quotient.add_comm_group._proof_3
0.000017    16425 quotient.lift_on'
0.000016    16426 add_comm_monoid.nat_is_scalar_tower
0.000017    16427 submodule.quotient.add_comm_group._proof_4
0.000017    16428 submodule.quotient.add_comm_group._proof_5
0.000017    16429 submodule.quotient.add_comm_group._proof_6
0.000017    16430 submodule.quotient.has_neg._proof_1
0.000017    16431 submodule.quotient.has_neg
0.000017    16432 submodule.quotient.has_sub._proof_1
0.000017    16433 submodule.quotient.has_sub
0.000017    16434 submodule.quotient.mk_sub
0.000017    16435 submodule.quotient.mk_neg
0.000016    16436 submodule.quotient.add_comm_group._proof_7
0.000017    16437 submodule.quotient.add_comm_group._proof_8
0.000017    16438 submodule.quotient.add_comm_group._proof_9
0.000017    16439 submodule.quotient.add_comm_group
0.000017    16440 semimodule.core
0.000016    16441 semimodule.core.to_has_scalar
0.000017    16442 semimodule.core.one_smul
0.000017    16443 semimodule.core.mul_smul
0.000016    16444 semimodule.core.smul_add
0.000017    16445 add_left_eq_self
0.000017    16446 add_monoid_hom.mk'._proof_1
0.000017    16447 add_monoid_hom.mk'
0.000017    16448 semimodule.of_core._proof_1
0.000016    16449 semimodule.core.add_smul
0.000017    16450 semimodule.of_core._proof_2
0.000017    16451 semimodule.of_core
0.000017    16452 submodule.quotient.has_scalar._proof_1
0.000017    16453 submodule.quotient.has_scalar
0.000015    16454 submodule.quotient.mk_smul
0.000016    16455 submodule.quotient.semimodule._proof_1
0.000017    16456 submodule.quotient.semimodule._proof_2
0.000017    16457 submodule.quotient.semimodule._proof_3
0.000017    16458 submodule.quotient.semimodule._proof_4
0.000017    16459 submodule.quotient.semimodule
0.000017    16460 linear_equiv.finite_dimensional
0.000017    16461 linear_equiv.findim_eq
0.000017    16462 submodule.liftq._proof_1
0.000017    16463 submodule.liftq._proof_2
0.000016    16464 submodule.liftq._proof_3
0.000017    16465 submodule.liftq
0.000018    16466 linear_map.quot_ker_equiv_range._proof_1
1.739999    16467 submodule.mkq._proof_1
0.000078    16468 submodule.mkq._proof_2
0.000023    16469 submodule.mkq
0.000015    16470 submodule.comap_comp
0.000014    16471 submodule.liftq_mkq
0.000014    16472 submodule.comap_liftq
0.000014    16473 submodule.ker_liftq
0.000014    16474 submodule.mkq_apply
0.000014    16475 submodule.quotient.mk_eq_zero
0.000014    16476 submodule.ker_mkq
0.000017    16477 submodule.mkq_map_self
0.000017    16478 submodule.ker_liftq_eq_bot
0.000015    16479 linear_map.quot_ker_equiv_range._proof_2
0.000017    16480 linear_equiv.of_eq._proof_1
0.000018    16481 linear_equiv.of_eq._proof_2
0.000015    16482 linear_equiv.of_eq._proof_3
0.000016    16483 linear_equiv.of_eq._proof_4
0.000017    16484 linear_equiv.of_eq._proof_5
0.000017    16485 linear_equiv.of_eq
0.000015    16486 submodule.map_liftq
0.000014    16487 submodule.range_liftq
0.000014    16488 linear_map.quot_ker_equiv_range._proof_3
0.000014    16489 linear_map.quot_ker_equiv_range
0.000017    16490 add_submonoid.prod._proof_1
0.000018    16491 add_submonoid.prod._proof_2
0.000017    16492 add_submonoid.prod
0.000015    16493 submodule.prod._proof_1
0.000014    16494 submodule.prod._proof_2
0.000016    16495 submodule.prod._proof_3
0.000016    16496 submodule.prod
0.000016    16497 submodule.mem_prod
0.000017    16498 prod.zero_eq_mk
0.000017    16499 submodule.prod_bot
0.000025    16500 submodule.prod_comap_inl
0.000018    16501 submodule.ker_inl
0.000015    16502 submodule.prod_comap_inr
0.000014    16503 submodule.ker_inr
0.000017    16504 set.image_subset_range
0.000018    16505 set.range_comp_subset_range
0.000017    16506 linear_map.is_compl_range_inl_inr
0.000017    16507 linear_independent_inl_union_inr'
0.000017    16508 linear_map.sup_range_inl_inr
0.000016    16509 is_basis_inl_union_inr
0.000017    16510 cardinal.lift_mk
0.000017    16511 cardinal.add_def
0.000016    16512 dim_prod
0.000017    16513 linear_equiv.map_add
0.000016    16514 linear_equiv.prod._proof_1
0.000017    16515 linear_equiv.map_smul
0.000017    16516 linear_equiv.prod._proof_2
0.000017    16517 linear_equiv.prod._proof_3
0.000016    16518 linear_equiv.prod._proof_4
0.000018    16519 linear_equiv.prod
0.000016    16520 submodule.le_comap_map
0.000017    16521 submodule.comap_mono
0.000016    16522 linear_map.comap_map_eq
0.000017    16523 linear_map.map_le_map_iff
0.000017    16524 linear_map.map_le_map_iff'
0.000017    16525 submodule.ker_subtype
0.000016    16526 submodule.disjoint_iff_comap_eq_bot
0.000017    16527 submodule.quotient_equiv_of_is_compl._proof_1
0.000017    16528 submodule.map_coe
0.000016    16529 submodule.map_comp
0.000017    16530 linear_map.range_comp
0.000017    16531 linear_map.map_eq_top_iff
0.000017    16532 submodule.range_mkq
0.000017    16533 submodule.map_mkq_eq_top
0.000017    16534 submodule.quotient_equiv_of_is_compl._proof_2
0.000017    16535 submodule.quotient_equiv_of_is_compl
0.000017    16536 linear_equiv.refl._proof_1
0.000016    16537 linear_equiv.refl._proof_2
0.000017    16538 linear_equiv.refl._proof_3
0.000017    16539 linear_equiv.refl._proof_4
0.000016    16540 linear_equiv.refl
0.000017    16541 prod.mk_eq_zero
0.000016    16542 submodule.mk_eq_zero
0.000017    16543 add_subgroup.neg_mem_iff
0.000017    16544 submodule.neg_mem_iff
0.000017    16545 submodule.prod_equiv_of_is_compl._proof_1
0.000017    16546 set_like.exists
0.000014    16547 submodule.sup_eq_range
0.000015    16548 submodule.prod_equiv_of_is_compl._proof_2
0.000017    16549 submodule.prod_equiv_of_is_compl
0.000017    16550 submodule.mem_sup'
0.000017    16551 linear_map.is_compl_of_proj
0.000017    16552 linear_map.ext_iff
0.000017    16553 linear_independent.image_subtype
0.000016    16554 is_basis.constr
0.000017    16555 linear_map.ext_on
0.000017    16556 linear_map.ext_on_range
0.000017    16557 is_basis.ext
0.000017    16558 is_basis.constr_apply
0.000016    16559 constr_basis
0.000017    16560 linear_map.exists_left_inverse_of_injective
0.000017    16561 submodule.exists_is_compl
0.000017    16562 quotient_prod_linear_equiv
0.000017    16563 dim_quotient_add_dim
0.000017    16564 self_le_add_right
0.000016    16565 dim_quotient_le
0.000017    16566 finite_dimensional.finite_dimensional_quotient
0.000017    16567 self_le_add_left
0.000016    16568 dim_submodule_le
0.000017    16569 finite_dimensional.finite_dimensional_submodule
0.000017    16570 submodule.findim_quotient_add_findim
0.000016    16571 linear_map.findim_range_add_findim_ker
0.000017    16572 exists_eq
0.000017    16573 is_basis_singleton_one
0.000017    16574 punit.unique._proof_1
0.000017    16575 punit.unique
0.000016    16576 cardinal.mk_punit
0.000017    16577 dim_of_field
0.000017    16578 finite_dimensional.findim_of_field
0.000016    16579 submodule.findim_le
0.000017    16580 finite_dimensional.finite_dimensional_self
0.000017    16581 zero_lt_iff
0.000017    16582 cauchy.mono'
0.000017    16583 tendsto_nhds_unique'
0.000017    16584 is_complete.is_closed
0.000017    16585 uniform_inducing
0.000016    16586 complete_univ
0.000017    16587 complete_space_of_is_complete_univ
0.000017    16588 complete_space_iff_is_complete_univ
4.092511    16589 cauchy.map
0.000086    16590 uniform_inducing.comap_uniformity
0.000022    16591 uniform_inducing.uniform_continuous
0.000015    16592 uniform_inducing.inducing
0.000014    16593 is_complete_of_complete_image
0.000014    16594 uniform_embedding
0.000014    16595 uniform_embedding.to_uniform_inducing
0.000015    16596 uniform_embedding_subtype_val
0.000014    16597 uniform_embedding_subtype_coe
0.000014    16598 is_complete.complete_space_coe
0.000018    16599 filter.prod_comap_comap_eq
0.000017    16600 cauchy.comap
0.000015    16601 cauchy.comap'
0.000018    16602 uniform_inducing.comp
0.000015    16603 filter.comap_ne_bot_iff
0.000015    16604 filter.comap_ne_bot_iff_frequently
0.000017    16605 filter.ne_bot.comap_of_range_mem
0.000015    16606 filter.comap_le_comap_iff
0.000015    16607 is_complete_image_iff
0.000014    16608 complete_space_iff_is_complete_range
0.000016    16609 complete_space_coe_iff_is_complete
0.000018    16610 complete_space_congr
0.000015    16611 antilipschitz_with
0.000014    16612 ennreal.mul_pos
0.000017    16613 antilipschitz_with.comap_uniformity_le
0.000015    16614 filter.tendsto.le_comap
0.000014    16615 antilipschitz_with.uniform_inducing
0.000018    16616 antilipschitz_with.injective
0.000017    16617 antilipschitz_with.uniform_embedding
0.000015    16618 lipschitz_with.to_right_inverse
0.000014    16619 continuous_linear_equiv.lipschitz
0.000014    16620 continuous_linear_equiv.antilipschitz
0.000014    16621 continuous_linear_equiv.uniform_embedding
0.000017    16622 linear_equiv.uniform_embedding
0.000017    16623 submodule.semi_normed_group._proof_1
0.000015    16624 submodule.semi_normed_group
0.000016    16625 subtype.metric_space._proof_1
0.000017    16626 subtype.metric_space
0.000017    16627 submodule.normed_group._proof_1
0.000017    16628 submodule.normed_group
0.000017    16629 submodule.semi_normed_space._proof_1
0.000017    16630 submodule.semi_normed_space
0.000017    16631 submodule.normed_space._proof_1
0.000017    16632 submodule.normed_space
0.000017    16633 Pi.uniform_continuous_proj
0.000017    16634 nhds_pi
0.000017    16635 Pi.complete
0.000017    16636 fintype.subtype_card
0.000018    16637 fintype.card_of_finset
0.000017    16638 fintype.card_of_finset'
0.000017    16639 set.card_image_of_inj_on
0.000014    16640 set.card_image_of_injective
0.000015    16641 finite_dimensional.eq_top_of_findim_eq
0.000016    16642 continuous_equiv_fun_basis
0.000017    16643 linear_map.continuous_of_finite_dimensional
0.000017    16644 linear_equiv.to_continuous_linear_equiv._proof_5
0.000017    16645 linear_equiv.to_continuous_linear_equiv._proof_6
0.000017    16646 linear_equiv.to_continuous_linear_equiv
0.000017    16647 nonempty.map
0.000017    16648 linear_equiv_of_is_basis._proof_1
0.000017    16649 linear_equiv_of_is_basis._proof_2
0.000017    16650 linear_equiv_of_is_basis._proof_3
0.000017    16651 linear_equiv_of_is_basis._proof_4
0.000016    16652 linear_equiv_of_is_basis
0.000017    16653 nonempty_linear_equiv_of_lift_dim_eq
0.000017    16654 finite_dimensional.nonempty_linear_equiv_of_findim_eq
0.000017    16655 finite_dimensional.linear_equiv.of_findim_eq
0.000017    16656 continuous_linear_equiv.of_findim_eq
0.000017    16657 pi.single
0.000018    16658 pi.single_zero
0.000016    16659 zero_hom.single._proof_1
0.000017    16660 zero_hom.single
0.000017    16661 add_monoid_hom.single._proof_1
0.000017    16662 pi.single_eq_same
0.000017    16663 pi.single_eq_of_ne
0.000016    16664 pi.apply_single₂
0.000017    16665 pi.single_op₂
0.000017    16666 add_monoid_hom.single._proof_2
0.000017    16667 add_monoid_hom.single
0.000017    16668 linear_map.single._proof_1
0.000017    16669 pi.single.equations._eqn_1
0.000016    16670 function.apply_update
0.000017    16671 pi.apply_single
0.000017    16672 pi.single_op
0.000016    16673 pi.single_smul
0.000017    16674 linear_map.single._proof_2
0.000017    16675 linear_map.single
0.000017    16676 linear_map.std_basis
0.000017    16677 linear_independent.of_subtype_range
0.000017    16678 sigma.eq
0.000017    16679 linear_independent.ne_zero
0.000016    16680 supr_singleton
0.000017    16681 sigma.exists
0.000017    16682 set.range_sigma_eq_Union_range
0.000017    16683 supr_le_supr_const
0.000017    16684 set.Union_subset_Union_const
0.000017    16685 linear_independent_empty_type
0.000017    16686 not_nonempty_iff_imp_false
0.000017    16687 disjoint.mono_right
0.000017    16688 linear_independent_Union_finite_subtype
0.000016    16689 linear_independent_Union_finite
0.000017    16690 linear_map.std_basis_apply
0.000017    16691 linear_map.std_basis_same
0.000017    16692 linear_map.ker_std_basis
0.000017    16693 submodule.comap_infi
0.000017    16694 function.eval
0.000017    16695 linear_map.coe_proj
0.000017    16696 function.eval_apply
0.000017    16697 linear_map.std_basis_ne
0.000017    16698 linear_map.proj_std_basis_ne
0.000017    16699 linear_map.supr_range_std_basis_le_infi_ker_proj
0.000017    16700 linear_map.proj_apply
0.000017    16701 linear_map.disjoint_std_basis_std_basis
1.856240    16702 pi.has_bot
0.000076    16703 pi.semilattice_inf_bot._proof_1
0.000024    16704 pi.semilattice_inf_bot._proof_2
0.000015    16705 pi.semilattice_inf_bot._proof_3
0.000014    16706 pi.semilattice_inf_bot._proof_4
0.000014    16707 pi.semilattice_inf_bot._proof_5
0.000016    16708 pi.semilattice_inf_bot._proof_6
0.000014    16709 pi.semilattice_inf_bot._proof_7
0.000014    16710 pi.semilattice_inf_bot._proof_8
0.000014    16711 pi.semilattice_inf_bot._proof_9
0.000017    16712 pi.has_inf
0.000017    16713 pi.semilattice_inf_bot._proof_10
0.000015    16714 pi.semilattice_inf_bot._proof_11
0.000017    16715 pi.semilattice_inf_bot._proof_12
0.000018    16716 pi.semilattice_inf_bot
0.000015    16717 set.disjoint_iff
0.000016    16718 set.disjoint_singleton_left
0.000015    16719 pi.linear_independent_std_basis
0.000017    16720 eq_top_mono
0.000015    16721 supr_pos
0.000018    16722 submodule.mem_supr_of_mem
0.000017    16723 linear_map.infi_ker_proj_le_supr_range_std_basis
0.000016    16724 linear_map.supr_range_std_basis
0.000015    16725 pi.is_basis_std_basis
0.000017    16726 dim_pi
0.000015    16727 cardinal.mk_prod
0.000014    16728 cardinal.sum_const_eq_lift_mul
0.000016    16729 dim_fun_eq_lift_mul
0.000015    16730 dim_fun'
0.000019    16731 finite_dimensional.findim_fintype_fun_eq_card
0.000015    16732 finite_dimensional.findim_fin_fun
0.000014    16733 real.decidable_le
0.000014    16734 metric.closed_ball_subset_closed_ball
0.000016    16735 is_closed.mem_of_nhds_within_ne_bot
0.000017    16736 is_compact.inter_right
0.000015    16737 metric.is_closed_ball
0.000016    16738 proper_space_of_compact_closed_ball_of_le
0.000017    16739 set.image_preimage_eq
0.000017    16740 function.surjective.image_preimage
0.000017    16741 filter.comap_inf_principal_ne_bot_of_image_mem
0.000017    16742 filter.tendsto.ne_bot
0.000017    16743 filter.tendsto.inf
0.000016    16744 is_compact.image_of_continuous_on
0.000017    16745 is_compact.image
0.000017    16746 metric.bounded
0.000017    16747 diagonal_eq_range_diagonal_map
0.000017    16748 prod_subset_compl_diagonal_iff_disjoint
0.000017    16749 nhds_contain_boxes
0.000017    16750 set.bInter_empty
0.000017    16751 is_open_bInter
0.000017    16752 nhds_contain_boxes_of_compact
0.000017    16753 set.preimage_swap_prod
0.000017    16754 set.image_swap_prod
0.000017    16755 nhds_contain_boxes.symm
0.000017    16756 set.prod_singleton
0.000016    16757 nhds_contain_boxes_of_singleton
0.000017    16758 generalized_tube_lemma
0.000017    16759 compact_compact_separated
0.000017    16760 cluster_pt.of_le_nhds'
0.000017    16761 filter.principal_singleton
0.000016    16762 compact_singleton
0.000018    16763 is_compact.is_closed
0.000016    16764 metric.bounded.subset
0.000017    16765 metric.bounded_empty
0.000017    16766 supr_union
0.000017    16767 set.bUnion_union
0.000017    16768 set.bUnion_singleton
0.000017    16769 set.bUnion_insert
0.000017    16770 metric.bounded_iff_mem_bounded
0.000017    16771 dist_triangle_right
0.000016    16772 metric.bounded_closed_ball
0.000017    16773 metric.bounded_iff_subset_ball
0.000017    16774 metric.bounded_union
0.000017    16775 metric.bounded_bUnion
0.000017    16776 metric.ball_subset_closed_ball
0.000017    16777 metric.bounded_ball
0.000017    16778 set.Union_subtype
0.000016    16779 set.preimage_range
0.000017    16780 subtype.coe_preimage_self
0.000017    16781 finset.supr_coe
0.000017    16782 finset.supr_finset_image
0.000016    16783 finset.set_bUnion_finset_image
0.000017    16784 is_compact.elim_finite_subcover_image
0.000017    16785 finite_cover_balls_of_compact
0.000017    16786 metric.bounded_of_compact
0.000017    16787 is_compact.bounded
0.000017    16788 compact_empty
0.000017    16789 compact_of_is_closed_subset
0.000016    16790 metric.compact_iff_closed_bounded
0.000017    16791 emetric.diam
0.000017    16792 metric.diam
0.000017    16793 antilipschitz_with.equations._eqn_1
0.000016    16794 antilipschitz_with_iff_le_mul_dist
0.000017    16795 antilipschitz_with.le_mul_dist
0.000017    16796 metric.diam.equations._eqn_1
0.000017    16797 emetric.diam.equations._eqn_1
0.000016    16798 emetric.diam_le_iff
0.000017    16799 emetric.edist_le_of_diam_le
0.000017    16800 emetric.edist_le_diam_of_mem
0.000017    16801 metric.dist_le_diam_of_mem'
0.000017    16802 ne_top_of_le_ne_top
0.000015    16803 emetric.diam_le
0.000016    16804 metric.ediam_le_of_forall_dist_le
0.000017    16805 metric.bounded_iff_ediam_ne_top
0.000017    16806 metric.bounded.ediam_ne_top
0.000017    16807 metric.dist_le_diam_of_mem
0.000017    16808 antilipschitz_with.bounded_preimage
0.000017    16809 antilipschitz_with.proper_space
0.000017    16810 closed_ball_pi
0.000016    16811 ultrafilter.of_compl_not_mem_iff._proof_1
0.000017    16812 ultrafilter.of_compl_not_mem_iff._proof_2
0.000017    16813 ultrafilter.of_compl_not_mem_iff
0.000017    16814 ultrafilter.map._proof_1
0.000017    16815 ultrafilter.map
0.000016    16816 compact_pi_infinite
0.000017    16817 pi_proper_space
0.000017    16818 continuous_linear_equiv.continuous
3.799286    16819 continuous_linear_equiv.surjective
0.000076    16820 finite_dimensional.proper
0.000024    16821 sub_le
0.000015    16822 closed_ball_Icc
0.000014    16823 set.Icc.equations._eqn_1
0.000014    16824 set.Icc_self
0.000014    16825 Ioc_mem_nhds_within_Iic
0.000014    16826 ultrafilter.diff_mem_iff
0.000014    16827 set.Icc_subset_Icc_union_Ioc
0.000014    16828 set.Ioc_subset_Ioc
0.000014    16829 set.Ioc_subset_Ioc_left
0.000014    16830 set.mem_Ioc
0.000016    16831 mem_nhds_within_Ici_iff_exists_mem_Ioc_Ico_subset
0.000017    16832 and.right_comm
0.000017    16833 set.Icc_diff_left
0.000015    16834 set.union_eq_self_of_subset_right
0.000014    16835 set.Ioc_union_left
0.000015    16836 set.Ico_union_right
0.000014    16837 set.union_subset_union_right
0.000016    16838 set.Ioc_subset_Icc_self
0.000017    16839 set.Icc_subset_Icc_union_Icc
0.000016    16840 set.Icc_eq_empty
0.000015    16841 compact_Icc
0.000015    16842 real.proper_space
0.000017    16843 finite_dimensional.proper_real
0.000015    16844 finite_dimensional.proper_is_R_or_C
0.000016    16845 real.is_R_or_C._proof_1
0.000017    16846 or.intro_left
0.000017    16847 real.is_R_or_C._proof_2
0.000017    16848 add_monoid_hom.to_fun_eq_coe
0.000017    16849 add_monoid_hom.id_apply
0.000017    16850 real.is_R_or_C._proof_3
0.000017    16851 real.is_R_or_C._proof_4
0.000017    16852 real.is_R_or_C._proof_5
0.000017    16853 real.is_R_or_C._proof_6
0.000017    16854 real.is_R_or_C._proof_7
0.000016    16855 real.is_R_or_C._proof_8
0.000017    16856 real.is_R_or_C._proof_9
0.000017    16857 real.is_R_or_C._proof_10
0.000017    16858 pow_two
0.000017    16859 real.is_R_or_C._proof_11
0.000017    16860 real.is_R_or_C._proof_12
0.000017    16861 real.is_R_or_C._proof_13
0.000017    16862 real.is_R_or_C._proof_14
0.000016    16863 real.is_R_or_C
0.000017    16864 fin.tail
0.000017    16865 fin_succ_equiv._proof_1
0.000017    16866 fin_succ_equiv._proof_2
0.000017    16867 option.cases_on'_none
0.000016    16868 option.cases_on'_some
0.000017    16869 nat.lt.step
0.000017    16870 fin.cast_succ_mk
0.000017    16871 subtype.mk_lt_mk
0.000017    16872 fin.pred._main._proof_1
0.000016    16873 fin.pred._main.equations._eqn_1
0.000017    16874 fin.pred.equations._eqn_1
0.000017    16875 fin.succ_above_pred_above
0.000017    16876 fin_succ_equiv'._proof_1
0.000016    16877 fin.pred_above_succ_above
0.000017    16878 fin_succ_equiv'._proof_2
0.000017    16879 fin_succ_equiv'
0.000017    16880 fin_succ_equiv
0.000018    16881 equiv.option_equiv_sum_punit._match_1
0.000017    16882 equiv.option_equiv_sum_punit._match_2
0.000017    16883 equiv.option_equiv_sum_punit._proof_1
0.000016    16884 equiv.option_equiv_sum_punit._proof_2
0.000017    16885 equiv.option_equiv_sum_punit
0.000017    16886 set.range_unique
0.000017    16887 linear_independent_option'
0.000017    16888 option.cases_on'_none_coe
0.000017    16889 linear_independent_option
0.000017    16890 fin_succ_equiv'.equations._eqn_1
0.000016    16891 fin_succ_equiv_symm'_some_above
0.000017    16892 fin_succ_equiv_symm_some
0.000017    16893 fin_succ_equiv_symm_coe
0.000017    16894 fin_succ_equiv_symm_none
0.000017    16895 linear_independent_fin_cons
0.000017    16896 fin.tail.equations._eqn_1
0.000016    16897 fin.cons_self_tail
0.000017    16898 linear_independent_fin_succ
0.000017    16899 linear_independent_fin2
0.000017    16900 complex.I_ne_zero
0.000018    16901 matrix.vec_head
0.000016    16902 matrix.cons_val_one
0.000017    16903 matrix.head_cons
0.000017    16904 fin.exists_fin_succ
0.000016    16905 set.singleton_union
0.000017    16906 matrix.range_cons
0.000017    16907 set.range_eq_empty
0.000017    16908 matrix.range_empty
0.000017    16909 set.is_lawful_singleton
0.000017    16910 complex.is_basis_one_I
0.000017    16911 complex.finite_dimensional
0.000017    16912 complex.is_R_or_C._proof_1
0.000017    16913 complex.is_R_or_C._proof_2
0.000017    16914 complex.I_mul_I
0.000017    16915 complex.is_R_or_C._proof_3
0.000016    16916 complex.is_R_or_C._proof_4
0.000017    16917 complex.is_R_or_C._proof_5
0.000017    16918 complex.is_R_or_C._proof_6
0.000017    16919 complex.is_R_or_C._proof_7
0.000017    16920 complex.is_R_or_C._proof_8
0.000017    16921 complex.is_R_or_C._proof_9
0.000017    16922 complex.is_R_or_C._proof_10
0.000016    16923 complex.conj_I
0.000016    16924 complex.is_R_or_C._proof_11
0.000016    16925 complex.norm_sq_eq_abs
0.000017    16926 complex.norm_sq_apply
0.000017    16927 complex.is_R_or_C._proof_12
0.000016    16928 complex.is_R_or_C._proof_13
0.000017    16929 complex.is_R_or_C._proof_14
0.000017    16930 complex.div_I
0.000017    16931 complex.is_R_or_C
0.000017    16932 has_ftaylor_series_up_to
0.000017    16933 times_cont_diff
0.000017    16934 times_cont_diff_on
0.000017    16935 continuous_linear_map.uncurry_left._proof_1
0.000016    16936 continuous_linear_map.uncurry_left._proof_2
0.000017    16937 linear_map.uncurry_left._proof_1
0.000017    16938 linear_map.uncurry_left._proof_2
0.000017    16939 fin.tail_update_zero
0.000016    16940 fin.tail_update_succ
0.000018    16941 linear_map.uncurry_left._proof_3
0.000017    16942 multilinear_map.smul_apply
2.184410    16943 linear_map.uncurry_left._proof_4
0.000078    16944 linear_map.uncurry_left
0.000081    16945 continuous_linear_map.uncurry_left._proof_3
0.000016    16946 continuous_linear_map.uncurry_left._proof_4
0.000014    16947 continuous_linear_map.uncurry_left._proof_5
0.000014    16948 continuous_linear_map.uncurry_left._proof_6
0.000015    16949 continuous_multilinear_map.to_multilinear_map_linear._proof_1
0.000017    16950 continuous_multilinear_map.to_multilinear_map_linear._proof_2
0.000017    16951 continuous_multilinear_map.to_multilinear_map_linear
0.000017    16952 continuous_linear_map.uncurry_left._proof_7
0.000016    16953 continuous_linear_map.uncurry_left._proof_8
0.000015    16954 continuous_linear_map.norm_map_tail_le
0.000015    16955 continuous_linear_map.uncurry_left._proof_9
0.000017    16956 continuous_linear_map.uncurry_left
0.000020    16957 fderiv_within
0.000017    16958 iterated_fderiv_within._proof_1
0.000017    16959 iterated_fderiv_within
0.000014    16960 ftaylor_series_within
0.000014    16961 has_ftaylor_series_up_to.zero_eq
0.000018    16962 has_ftaylor_series_up_to.fderiv
0.000015    16963 has_ftaylor_series_up_to.cont
0.000018    16964 has_ftaylor_series_up_to_on_univ_iff
0.000017    16965 unique_diff_on
0.000015    16966 ftaylor_series_within.equations._eqn_1
0.000014    16967 iterated_fderiv_within_zero_apply
0.000017    16968 with_top.add_one_le_of_lt
0.000015    16969 iterated_fderiv_within_succ_apply_left
0.000016    16970 differentiable_within_at
0.000018    16971 differentiable_within_at.has_fderiv_within_at
0.000017    16972 has_fderiv_within_at.differentiable_within_at
0.000017    16973 has_fderiv_within_at.fderiv_within
0.000016    16974 has_fderiv_within_at.congr_of_eventually_eq
0.000017    16975 fderiv_within.equations._eqn_1
0.000017    16976 fderiv_within_zero_of_not_differentiable_within_at
0.000017    16977 differentiable_within_at.congr_of_eventually_eq
0.000016    16978 filter.eventually_eq.fderiv_within_eq
0.000017    16979 fderiv_within_congr
0.000017    16980 fderiv_within_subset
0.000017    16981 dense.mono
0.000017    16982 tangent_cone_mono_nhds
0.000016    16983 unique_diff_within_at.mono_nhds
0.000017    16984 unique_diff_within_at_congr
0.000017    16985 unique_diff_within_at_inter
0.000017    16986 unique_diff_within_at.inter
0.000017    16987 differentiable_within_at.equations._eqn_1
0.000017    16988 differentiable_within_at_inter
0.000017    16989 fderiv_within_inter
0.000018    16990 iterated_fderiv_within_inter_open
0.000016    16991 unique_diff_on.inter
0.000017    16992 iterated_fderiv_within_inter'
0.000017    16993 iterated_fderiv_within_inter
0.000017    16994 has_ftaylor_series_up_to_on.zero_eq'
0.000016    16995 iterated_fderiv_within_zero_eq_comp
0.000017    16996 continuous_multilinear_curry_left_equiv._proof_1
0.000017    16997 continuous_multilinear_curry_left_equiv._proof_2
0.000017    16998 continuous_multilinear_curry_left_equiv._proof_3
0.000017    16999 continuous_multilinear_curry_left_equiv._proof_4
0.000017    17000 continuous_multilinear_curry_left_equiv._proof_5
0.000017    17001 continuous_multilinear_curry_left_equiv._proof_6
0.000017    17002 continuous_multilinear_curry_left_equiv._proof_7
0.000017    17003 continuous_multilinear_curry_left_equiv._proof_8
0.000015    17004 continuous_multilinear_map.curry_left_apply
0.000014    17005 continuous_linear_map.uncurry_left_apply
0.000016    17006 fin.tail_cons
0.000017    17007 continuous_linear_map.curry_uncurry_left
0.000017    17008 linear_map.uncurry_left_apply
0.000017    17009 multilinear_map.curry_left_apply
0.000017    17010 multilinear_map.uncurry_curry_left
0.000017    17011 continuous_multilinear_map.uncurry_curry_left
0.000017    17012 continuous_multilinear_curry_left_equiv._proof_9
0.000017    17013 continuous_multilinear_curry_left_equiv._proof_10
0.000017    17014 continuous_multilinear_curry_left_equiv._proof_11
0.000017    17015 continuous_multilinear_curry_left_equiv
0.000017    17016 iterated_fderiv_within_succ_eq_comp_left
0.000017    17017 function.comp_apply
0.000017    17018 has_ftaylor_series_up_to_on.eq_ftaylor_series_of_unique_diff_on
0.000017    17019 has_ftaylor_series_up_to_on.mono
0.000018    17020 continuous_on_of_locally_continuous_on
0.000017    17021 filter.eventually_eq.symm
0.000016    17022 eventually_eq_nhds_within_of_eq_on
0.000018    17023 set.eq_on.eventually_eq_nhds_within
0.000017    17024 continuous_on.congr_mono
0.000017    17025 continuous_on.congr
0.000017    17026 times_cont_diff_on.ftaylor_series_within
0.000017    17027 unique_diff_on_univ
0.000017    17028 has_ftaylor_series_up_to_on.of_le
0.000017    17029 has_ftaylor_series_up_to.has_ftaylor_series_up_to_on
0.000017    17030 times_cont_diff_on_univ
0.000017    17031 times_cont_diff_on.equations._eqn_1
0.000017    17032 times_cont_diff_at.equations._eqn_1
7.648075    17033 times_cont_diff_iff_times_cont_diff_at
0.000082    17034 times_cont_diff.times_cont_diff_at
0.000023    17035 times_cont_diff_within_at.of_le
0.000014    17036 times_cont_diff_on.of_le
0.000015    17037 times_cont_diff_on_iff_forall_nat_le
0.000014    17038 times_cont_diff_on_top
0.000015    17039 times_cont_diff_on_all_iff_nat
0.000014    17040 times_cont_diff_all_iff_nat
0.000014    17041 continuous_within_at.mono_of_mem
0.000015    17042 continuous_on.continuous_within_at
0.000014    17043 inducing.tendsto_nhds_iff
0.000017    17044 inducing.continuous_iff
0.000017    17045 inducing.continuous_on_iff
0.000017    17046 isometry.antilipschitz
0.000015    17047 isometry.uniform_inducing
0.000014    17048 isometry.comp_continuous_on_iff
0.000014    17049 linear_isometry_equiv.comp_continuous_on_iff
0.000015    17050 has_ftaylor_series_up_to_on.continuous_on
0.000016    17051 nhds_within_singleton
0.000017    17052 nhds_within_insert
0.000015    17053 mem_nhds_within_insert
0.000014    17054 times_cont_diff_within_at.continuous_within_at
0.000014    17055 times_cont_diff_on.continuous_on
0.000014    17056 set.eq_on.symm
0.000017    17057 continuous_on_congr
0.000015    17058 has_ftaylor_series_up_to_on_zero_iff
0.000017    17059 times_cont_diff_on_zero
0.000017    17060 times_cont_diff_zero
0.000015    17061 homeomorph.surjective
0.000014    17062 homeomorph.range_coe
0.000014    17063 homeomorph.map_nhds_eq
0.000014    17064 add_units.neg_add_cancel_left
0.000016    17065 add_units.add_neg_cancel_left
0.000015    17066 add_units.add_left
0.000016    17067 equiv.add_left
0.000017    17068 homeomorph.add_left._proof_1
0.000017    17069 homeomorph.add_left._proof_2
0.000017    17070 homeomorph.add_left._proof_3
0.000017    17071 homeomorph.add_left._proof_4
0.000017    17072 homeomorph.add_left
0.000017    17073 map_add_left_nhds
0.000017    17074 map_add_left_nhds_zero
0.000017    17075 asymptotics.is_O_with_map
0.000017    17076 asymptotics.is_o_map
0.000018    17077 has_fderiv_at_iff_is_o_nhds_zero
0.000017    17078 has_deriv_at_iff_is_o_nhds_zero
0.000016    17079 cau_seq.const_lim_zero
0.000017    17080 cau_seq.const_equiv
0.000017    17081 cau_seq.eq_lim_of_const_equiv
0.000017    17082 mul_lt_mul''
0.000017    17083 cau_seq.mul_lim_zero_left
0.000017    17084 cau_seq.lim_mul_lim
0.000017    17085 cau_seq.lim_eq_of_equiv_const
0.000017    17086 cau_seq.lim_eq_lim_of_equiv
0.000017    17087 cau_seq.cauchy₂
0.000015    17088 abv_sum_le_sum_abv
0.000014    17089 sum_range_sub_sum_range
0.000018    17090 mul_lt_mul_right
0.000017    17091 lt_add_of_pos_left
0.000016    17092 norm_num.bit0_mul
0.000017    17093 norm_num.mul_bit0'
0.000017    17094 norm_num.mul_bit0_bit0
0.000017    17095 finset.sum_sigma'
0.000017    17096 nat.sub_lt_sub_right_iff
0.000017    17097 nat.lt_sub_right_of_add_lt
0.000017    17098 nat.lt_sub_left_of_add_lt
0.000017    17099 nat.lt_sub_left_iff_add_lt
0.000017    17100 nat.lt_sub_right_iff_add_lt
0.000017    17101 sum_range_diag_flip
0.000017    17102 cauchy_product
0.000017    17103 nat.choose._main
0.000017    17104 nat.choose
0.000016    17105 finset.sum_range_succ
0.000017    17106 nat.choose._main.equations._eqn_1
0.000017    17107 nat.choose.equations._eqn_1
0.000017    17108 nat.choose._main.equations._eqn_4
0.000017    17109 nat.choose.equations._eqn_4
0.000017    17110 nat.choose_zero_succ
0.000017    17111 nat.choose_succ_succ
0.000017    17112 nat.choose_eq_zero_of_lt
0.000016    17113 nat.choose_self
0.000017    17114 nat.choose_zero_right
0.000017    17115 nat.choose_succ_self
0.000017    17116 commute.add_pow
0.000017    17117 add_pow
0.000016    17118 nat.factorial_zero
0.000017    17119 nat.factorial_one
0.000017    17120 nat.choose_mul_factorial_mul_factorial
0.000017    17121 char_zero_of_inj_zero
0.000017    17122 complex.char_zero_complex
0.000018    17123 nat.choose_pos
0.000016    17124 complex.exp_add
0.000017    17125 norm_num.add_pos_neg_neg
0.000017    17126 norm_num.add_neg_pos_neg
0.000017    17127 finset.range_one
0.000016    17128 cau_seq.lim_const
0.000017    17129 complex.exp.equations._eqn_1
0.000017    17130 cau_seq.lim_neg
0.000017    17131 cau_seq.lim_add
0.000017    17132 is_absolute_value.sub_abv_le_abv_sub
0.000016    17133 is_absolute_value.abs_abv_sub_le_abv_sub
0.000017    17134 complex.abs_abs_sub_le_abs_sub
0.000017    17135 complex.is_cau_seq_abs
0.000017    17136 complex.cau_seq_abs._proof_1
0.000017    17137 complex.cau_seq_abs
0.000017    17138 complex.lim_abs
0.000016    17139 cau_seq.const_le
0.000017    17140 cau_seq.le_of_eq_of_le
0.000018    17141 cau_seq.lim_le
0.000016    17142 cau_seq.le_of_exists
0.000017    17143 div_le_div_right
0.000017    17144 nat.factorial_pos
0.000017    17145 mul_le_one
0.000016    17146 pow_le_one
0.000017    17147 nat.factorial_mul_pow_le_factorial
0.000017    17148 geom_sum_def
0.000017    17149 geom_sum_inv
0.000017    17150 complex.sum_div_factorial_le
0.000017    17151 complex.exp_bound
0.000017    17152 norm_num.nat_succ_eq
0.000017    17153 norm_num.bit0_succ
0.000016    17154 norm_num.nat_cast_bit1
0.000017    17155 norm_num.nat_cast_one
0.000017    17156 norm_num.nat_cast_bit0
0.000017    17157 le_of_mul_le_mul_right
2.106818    17158 norm_num.clear_denom_le
0.000077    17159 norm_num.lt_bit1_bit0
0.000024    17160 norm_num.le_bit1_bit0
0.000014    17161 norm_num.sle_one_bit0
0.000015    17162 pow_bit0
0.000014    17163 pow_bit0_nonneg
0.000014    17164 pow_two_nonneg
0.000014    17165 complex.abs_exp_sub_one_sub_id_le
0.000014    17166 continuous_pow
0.000014    17167 asymptotics.is_o_pow_pow
0.000018    17168 asymptotics.is_o_pow_id
0.000017    17169 complex.has_deriv_at_exp
0.000018    17170 complex.differentiable_exp
0.000015    17171 complex.continuous_exp
0.000014    17172 fderiv
0.000017    17173 deriv
0.000020    17174 differentiable_on
0.000018    17175 deriv_within
0.000017    17176 differentiable_within_at.mono
0.000017    17177 has_ftaylor_series_up_to_on.differentiable_on
0.000015    17178 times_cont_diff_within_at.differentiable_within_at'
0.000014    17179 times_cont_diff_within_at.differentiable_within_at
0.000016    17180 times_cont_diff_on.differentiable_on
0.000019    17181 formal_multilinear_series.shift._proof_1
0.000017    17182 formal_multilinear_series.shift
0.000017    17183 continuous_multilinear_curry_right_equiv'._proof_1
0.000015    17184 continuous_multilinear_curry_right_equiv'._proof_3
0.000014    17185 continuous_multilinear_curry_right_equiv'._proof_2
0.000018    17186 continuous_multilinear_curry_right_equiv'
0.000015    17187 fin.cast_succ_fin_succ
0.000014    17188 fin.succ_last
0.000014    17189 fin.cons_snoc_eq_snoc_cons
0.000017    17190 nat.sub_le_left_iff_le_add
0.000015    17191 nat.sub_le_right_iff_le_add
0.000016    17192 nat.pred_le_iff
0.000018    17193 differentiable_within_at.continuous_within_at
0.000017    17194 differentiable_on.continuous_on
0.000017    17195 has_ftaylor_series_up_to_on_succ_iff_right
0.000017    17196 times_cont_diff_within_at_nat
0.000017    17197 formal_multilinear_series.unshift._proof_1
0.000017    17198 formal_multilinear_series.unshift._proof_2
0.000017    17199 formal_multilinear_series.unshift._main
0.000017    17200 formal_multilinear_series.unshift
0.000017    17201 has_ftaylor_series_up_to_on.congr
0.000017    17202 times_cont_diff_within_at_succ_iff_has_fderiv_within_at
0.000017    17203 times_cont_diff_within_at.congr_of_eventually_eq
0.000016    17204 times_cont_diff_within_at.congr_of_eventually_eq'
0.000018    17205 insert_mem_nhds_within_insert
0.000017    17206 times_cont_diff_within_at.mono_of_mem
0.000017    17207 times_cont_diff_within_at.congr_nhds
0.000016    17208 times_cont_diff_within_at_congr_nhds
0.000017    17209 times_cont_diff_within_at_inter'
0.000017    17210 times_cont_diff_within_at.mono
0.000017    17211 filter.eventually_of_mem
0.000017    17212 filter.eventually_eq_of_mem
0.000017    17213 times_cont_diff_on_succ_iff_fderiv_within
0.000017    17214 linear_map.comp_multilinear_map._proof_1
0.000017    17215 linear_map.comp_multilinear_map._proof_2
0.000017    17216 linear_map.comp_multilinear_map
0.000017    17217 continuous_linear_map.comp_continuous_multilinear_map._proof_1
0.000017    17218 continuous_linear_map.comp_continuous_multilinear_map._proof_2
0.000017    17219 continuous_linear_map.comp_continuous_multilinear_map._proof_3
0.000017    17220 continuous_linear_map.comp_continuous_multilinear_map
0.000017    17221 continuous_linear_map.comp_continuous_multilinear_mapL._proof_1
0.000016    17222 continuous_linear_map.comp_continuous_multilinear_mapL._proof_2
0.000017    17223 continuous_linear_map.comp_continuous_multilinear_mapL._proof_3
0.000017    17224 continuous_linear_map.comp_continuous_multilinear_mapL._proof_4
0.000017    17225 linear_map.mk_continuous₂._proof_1
0.000017    17226 linear_map.mk_continuous₂._proof_2
0.000017    17227 linear_map.mk_continuous₂._proof_3
0.000017    17228 linear_map.mk_continuous₂._proof_4
0.000017    17229 linear_map.mk_continuous₂._proof_5
0.000017    17230 linear_map.mk_continuous₂._proof_6
0.000017    17231 linear_map.mk_continuous₂._proof_7
0.000016    17232 linear_map.mk_continuous_apply
0.000018    17233 linear_map.mk_continuous₂._proof_8
0.000017    17234 linear_map.mk_continuous₂._proof_9
0.000016    17235 linear_map.mk_continuous_norm_le'
0.000017    17236 monotone_mul_right_of_nonneg
0.000017    17237 max_mul_of_nonneg
0.000017    17238 linear_map.mk_continuous₂._proof_10
0.000017    17239 linear_map.mk_continuous₂
0.000017    17240 continuous_linear_map.comp_continuous_multilinear_mapL._proof_5
0.000017    17241 continuous_linear_map.comp_continuous_multilinear_mapL._proof_6
0.000017    17242 continuous_linear_map.comp_continuous_multilinear_mapL._proof_7
0.000017    17243 linear_map.mk₂._proof_1
0.000040    17244 linear_map.mk₂'._proof_1
0.000021    17245 linear_map.mk₂'._proof_2
0.000019    17246 linear_map.mk₂'._proof_3
0.000019    17247 linear_map.mk₂'
0.000015    17248 linear_map.mk₂._proof_2
0.000017    17249 linear_map.mk₂
2.224829    17250 continuous_linear_map.comp_continuous_multilinear_mapL._proof_8
0.000082    17251 continuous_linear_map.comp_continuous_multilinear_mapL._proof_9
0.000022    17252 continuous_linear_map.comp_continuous_multilinear_mapL._proof_10
0.000015    17253 continuous_linear_map.comp_continuous_multilinear_map_coe
0.000014    17254 continuous_multilinear_map.smul_apply
0.000014    17255 continuous_linear_map.comp_continuous_multilinear_mapL._proof_11
0.000014    17256 continuous_linear_map.le_op_norm_of_le
0.000014    17257 continuous_linear_map.norm_comp_continuous_multilinear_map_le
0.000015    17258 continuous_linear_map.comp_continuous_multilinear_mapL._proof_12
0.000014    17259 continuous_linear_map.comp_continuous_multilinear_mapL
0.000014    17260 has_ftaylor_series_up_to_on.continuous_linear_map_comp
0.000014    17261 times_cont_diff_within_at.continuous_linear_map_comp
0.000019    17262 continuous_linear_equiv.comp_times_cont_diff_within_at_iff
0.000017    17263 continuous_linear_equiv.comp_times_cont_diff_on_iff
0.000015    17264 continuous_linear_equiv.self_comp_symm
0.000014    17265 continuous_within_at.preimage_mem_nhds_within'
0.000019    17266 multilinear_map.comp_linear_map._proof_1
0.000019    17267 multilinear_map.comp_linear_map._proof_2
0.000015    17268 multilinear_map.comp_linear_map
0.000016    17269 continuous_multilinear_map.comp_continuous_linear_map._proof_1
0.000015    17270 continuous_multilinear_map.comp_continuous_linear_map._proof_2
0.000015    17271 continuous_infi_rng
0.000018    17272 continuous_pi
0.000018    17273 continuous_multilinear_map.comp_continuous_linear_map._proof_3
0.000015    17274 continuous_multilinear_map.comp_continuous_linear_map
0.000017    17275 is_linear_map.map_add
0.000017    17276 is_linear_map.map_smul
0.000015    17277 is_linear_map.mk'
0.000014    17278 is_bounded_linear_map.to_is_linear_map
0.000015    17279 is_bounded_linear_map.to_linear_map._proof_1
0.000017    17280 is_bounded_linear_map.to_linear_map
0.000017    17281 is_bounded_linear_map.to_continuous_linear_map._proof_1
0.000017    17282 is_bounded_linear_map.to_continuous_linear_map._proof_2
0.000015    17283 is_bounded_linear_map.to_continuous_linear_map._match_1
0.000014    17284 is_bounded_linear_map.to_continuous_linear_map._proof_3
0.000018    17285 is_bounded_linear_map.to_continuous_linear_map
0.000015    17286 is_bounded_linear_map_continuous_multilinear_map_comp_linear
0.000017    17287 fin.comp_cons
0.000017    17288 is_bounded_linear_map.has_fderiv_at_filter
0.000017    17289 is_bounded_linear_map.has_fderiv_at
0.000017    17290 is_bounded_linear_map.dcases_on
0.000017    17291 tendsto_norm_sub_self
0.000017    17292 is_bounded_linear_map.tendsto
0.000017    17293 is_bounded_linear_map.continuous
0.000017    17294 has_ftaylor_series_up_to_on.comp_continuous_linear_map
0.000017    17295 times_cont_diff_within_at.comp_continuous_linear_map
0.000017    17296 times_cont_diff_on.comp_continuous_linear_map
0.000018    17297 continuous_linear_equiv.times_cont_diff_on_comp_iff
0.000017    17298 with_top.nat_induction
0.000017    17299 times_cont_diff_on_succ_iff_has_fderiv_within_at
0.000016    17300 continuous_within_at_inter'
0.000018    17301 times_cont_diff_on.mono
0.000017    17302 times_cont_diff.times_cont_diff_on
0.000016    17303 times_cont_diff.of_le
0.000017    17304 differentiable_on.equations._eqn_1
0.000017    17305 differentiable_at.equations._eqn_1
0.000017    17306 differentiable_within_at_univ
0.000017    17307 differentiable_on_univ
0.000017    17308 differentiable_at.has_fderiv_at
0.000016    17309 fderiv.equations._eqn_1
0.000017    17310 fderiv_zero_of_not_differentiable_at
0.000017    17311 fderiv_within_univ
0.000017    17312 times_cont_diff_on_top_iff_fderiv_within
0.000017    17313 times_cont_diff_top_iff_fderiv
0.000017    17314 is_bounded_bilinear_map.differentiable_at
0.000017    17315 is_bounded_bilinear_map.differentiable
0.000017    17316 has_fderiv_at.fderiv
0.000017    17317 is_bounded_bilinear_map.fderiv
0.000017    17318 is_bounded_linear_map.differentiable_at
0.000017    17319 is_bounded_linear_map.differentiable
0.000017    17320 is_bounded_linear_map.fderiv
0.000016    17321 has_fderiv_at_const
0.000017    17322 differentiable_at_const
0.000018    17323 differentiable_const
0.000016    17324 fderiv_const_apply
0.000017    17325 fderiv_const
0.000017    17326 iterated_fderiv._proof_1
0.000017    17327 iterated_fderiv
0.000017    17328 times_cont_diff_on.continuous_on_iterated_fderiv_within
0.000017    17329 times_cont_diff_on.differentiable_on_iterated_fderiv_within
0.000016    17330 times_cont_diff_on_of_continuous_on_differentiable_on
0.000016    17331 times_cont_diff_on_iff_continuous_on_differentiable_on
0.000016    17332 iterated_fderiv_zero_apply
0.000017    17333 iterated_fderiv_succ_apply_left
8.974520    17334 iterated_fderiv_within_univ
0.000079    17335 times_cont_diff_iff_continuous_differentiable
0.000024    17336 times_cont_diff_of_differentiable_iterated_fderiv
0.000015    17337 iterated_fderiv_within_zero_fun
0.000014    17338 times_cont_diff_zero_fun
0.000015    17339 times_cont_diff_const
0.000014    17340 is_bounded_linear_map.times_cont_diff
0.000014    17341 is_bounded_bilinear_map.times_cont_diff
0.000014    17342 continuous_linear_map.op_norm_comp_le
0.000014    17343 is_bounded_bilinear_map_comp
0.000014    17344 multilinear_map.prod._proof_1
0.000017    17345 multilinear_map.prod._proof_2
0.000017    17346 multilinear_map.prod
0.000017    17347 continuous_multilinear_map.prod._proof_1
0.000015    17348 continuous_multilinear_map.prod._proof_2
0.000014    17349 continuous_multilinear_map.prod._proof_3
0.000016    17350 continuous_multilinear_map.prod
0.000015    17351 continuous_multilinear_map.prodL._proof_1
0.000014    17352 continuous_multilinear_map.prodL._proof_2
0.000017    17353 continuous_multilinear_map.prodL._proof_3
0.000015    17354 continuous_multilinear_map.prodL._proof_4
0.000018    17355 continuous_multilinear_map.prodL._proof_5
0.000017    17356 continuous_multilinear_map.prodL._proof_6
0.000015    17357 continuous_multilinear_map.prodL._proof_7
0.000014    17358 continuous_multilinear_map.prodL._proof_8
0.000014    17359 continuous_linear_map.fst
0.000014    17360 continuous_linear_map.snd
0.000016    17361 continuous_multilinear_map.prodL._proof_9
0.000015    17362 continuous_multilinear_map.prodL._proof_10
0.000017    17363 continuous_multilinear_map.prod_apply
0.000017    17364 prod.norm_def
0.000017    17365 continuous_multilinear_map.op_norm_prod
0.000017    17366 continuous_multilinear_map.prodL._proof_11
0.000017    17367 continuous_multilinear_map.prodL
0.000017    17368 linear_isometry_equiv.has_fderiv_at
0.000017    17369 has_ftaylor_series_up_to_on.prod
0.000016    17370 times_cont_diff_within_at.prod
0.000017    17371 times_cont_diff_on.prod
0.000017    17372 _private.1808125485.times_cont_diff_on.comp_same_univ
0.000017    17373 times_cont_diff_on.comp
0.000017    17374 times_cont_diff.comp_times_cont_diff_on
0.000017    17375 is_bounded_bilinear_map.is_bounded_linear_map_left
0.000017    17376 deriv_within.equations._eqn_1
0.000017    17377 is_bounded_bilinear_map.is_bounded_linear_map_right
0.000017    17378 has_continuous_mul.has_continuous_smul
0.000017    17379 continuous_linear_map.norm_smul_right_apply
0.000017    17380 is_bounded_bilinear_map_smul_right
0.000017    17381 times_cont_diff_on_succ_iff_deriv_within
0.000017    17382 unique_diff_within_at_of_mem_nhds
0.000017    17383 is_open.unique_diff_within_at
0.000017    17384 is_open.unique_diff_on
0.000017    17385 times_cont_diff_within_at.congr
0.000017    17386 times_cont_diff_on.congr
0.000017    17387 times_cont_diff_on_congr
0.000017    17388 fderiv_within_of_mem_nhds
0.000017    17389 fderiv_within_of_open
0.000016    17390 deriv_within_of_open
0.000018    17391 times_cont_diff_on_succ_iff_deriv_of_open
0.000017    17392 times_cont_diff_succ_iff_deriv
0.000016    17393 continuous_linear_map.ext_ring_iff
0.000017    17394 continuous_linear_map.smul_right_one_eq_iff
0.000017    17395 has_deriv_at.unique
0.000017    17396 deriv.equations._eqn_1
0.000017    17397 differentiable_at.has_deriv_at
0.000017    17398 has_deriv_at.deriv
0.000017    17399 complex.deriv_exp
0.000017    17400 complex.times_cont_diff_exp
0.000016    17401 complex.has_strict_deriv_at_exp
0.000018    17402 has_strict_deriv_at.cexp
0.000017    17403 has_strict_fderiv_at_id
0.000016    17404 has_strict_deriv_at_id
0.000017    17405 continuous_linear_map.has_strict_fderiv_at
0.000017    17406 has_strict_fderiv_at.neg
0.000017    17407 has_strict_deriv_at.neg
0.000015    17408 complex.has_strict_deriv_at_cos
0.000014    17409 complex.has_deriv_at_cos
0.000017    17410 real.has_deriv_at_cos
0.000017    17411 real.differentiable_cos
0.000016    17412 real.continuous_cos
0.000017    17413 real.continuous_on_cos
0.000017    17414 eq_zero_of_neg_eq
0.000016    17415 complex.conj.equations._eqn_1
0.000017    17416 ring_hom.coe_mk
0.000017    17417 complex.conj_of_real
0.000017    17418 complex.eq_conj_iff_real
0.000016    17419 complex.eq_conj_iff_re
0.000017    17420 complex.cosh
0.000017    17421 complex.two_cosh
0.000016    17422 complex.two_cos
0.000017    17423 complex.cosh_mul_I
0.000016    17424 complex.conj_neg_I
0.000017    17425 complex.cosh.equations._eqn_1
0.000017    17426 ring_hom.map_sub
0.000016    17427 complex.is_cau_seq_conj
0.000017    17428 complex.cau_seq_conj
0.000017    17429 cau_seq.mk_to_fun
0.000016    17430 complex.cau_seq_conj.equations._eqn_1
0.000017    17431 complex.lim_aux.equations._eqn_1
0.000017    17432 complex.cau_seq_re.equations._eqn_1
0.000016    17433 complex.cau_seq_im.equations._eqn_1
0.000017    17434 complex.lim_eq_lim_im_add_lim_re
0.000017    17435 complex.lim_re
0.000016    17436 complex.lim_im
0.000017    17437 complex.lim_conj
5.566353    17438 complex.exp_conj
0.000075    17439 complex.conj_bit0
0.000023    17440 complex.cosh_conj
0.000015    17441 complex.abs_zero
0.000015    17442 complex.exp_zero
0.000014    17443 complex.exp_ne_zero
0.000014    17444 complex.exp_neg
0.000014    17445 complex.cosh_neg
0.000014    17446 complex.cos_conj
0.000014    17447 complex.of_real_cos_of_real_re
0.000015    17448 complex.of_real_cos
0.000018    17449 complex.sinh
0.000016    17450 complex.two_sinh
0.000017    17451 _private.256401115.cosh_add_aux
0.000015    17452 complex.cosh_add
0.000014    17453 complex.two_sin
0.000014    17454 mul_neg_one
0.000014    17455 complex.sinh_mul_I
0.000016    17456 complex.cos_add
0.000015    17457 complex.cos_two_mul'
0.000014    17458 complex.I_sq
0.000018    17459 sq_sub_sq
0.000017    17460 add_add_sub_cancel
0.000014    17461 complex.cosh_add_sinh
0.000015    17462 add_sub_sub_cancel
0.000014    17463 complex.cosh_sub_sinh
0.000014    17464 complex.cosh_sq_sub_sinh_sq
0.000016    17465 complex.sin_sq_add_cos_sq
0.000017    17466 sub_add_eq_add_sub
0.000015    17467 complex.cos_two_mul
0.000014    17468 complex.of_real_sub
0.000015    17469 complex.of_real_pow
0.000013    17470 real.cos_two_mul
0.000017    17471 sub_le_sub_right
0.000016    17472 bit1_pos
0.000015    17473 bit1_pos'
0.000014    17474 norm_num.add_bit1_bit0
0.000014    17475 norm_num.add_bit0_bit0
0.000014    17476 norm_num.one_add
0.000016    17477 norm_num.sle_bit0_bit0
0.000015    17478 norm_num.bit1_succ
0.000017    17479 norm_num.sle_bit1_bit0
0.000018    17480 norm_num.lt_bit0_bit1
0.000017    17481 norm_num.le_bit0_bit1
0.000018    17482 norm_num.sle_one_bit1
0.000017    17483 complex.of_real_div
0.000017    17484 complex.cos.equations._eqn_1
0.000017    17485 add_div
0.000017    17486 div_sub_div_same
0.000017    17487 sub_div
0.000017    17488 complex.bit0_re
0.000017    17489 complex.bit0_im
0.000017    17490 norm_num.mul_bit1_bit1
0.000017    17491 tactic.ring.horner_add_horner_lt
0.000015    17492 even
0.000016    17493 abs_hom._proof_1
0.000017    17494 linear_ordered_ring.to_nontrivial
0.000017    17495 abs_one
0.000017    17496 abs_hom
0.000017    17497 abs_pow
0.000017    17498 max_eq_left_iff
0.000017    17499 neg_le_iff_add_nonneg
0.000017    17500 neg_le_self_iff
0.000017    17501 abs_eq_self
0.000016    17502 pow_even_nonneg
0.000018    17503 pow_even_abs
0.000016    17504 even_bit0
0.000017    17505 pow_bit0_abs
0.000017    17506 half_add_self
0.000017    17507 add_halves'
0.000017    17508 decidable.le_iff_le_iff_lt_iff_lt
0.000017    17509 decidable.mul_le_mul_right
0.000017    17510 real.cos_bound
0.000017    17511 real.cos_pos_of_le_one
0.000017    17512 real.cos_one_pos
0.000017    17513 norm_num.pow_bit0
0.000017    17514 real.cos_one_le
0.000017    17515 real.cos_two_neg
0.000017    17516 real.exists_cos_eq_zero
0.000015    17517 real.pi
0.000014    17518 complex.exp_nat_mul
0.000014    17519 real.exp
0.000017    17520 complex.cos_add_sin_I
0.000017    17521 complex.exp_mul_I
0.000017    17522 complex.exp_add_mul_I
0.000017    17523 complex.exp_eq_exp_re_mul_sin_add_cos
0.000017    17524 complex.exp_of_real_re
0.000017    17525 complex.cos_of_real_re
0.000017    17526 complex.sin_of_real_re
0.000017    17527 complex.sinh.equations._eqn_1
0.000017    17528 complex.sinh_conj
0.000017    17529 complex.sinh_neg
0.000017    17530 complex.sin_conj
0.000016    17531 complex.of_real_sin_of_real_re
0.000017    17532 complex.sin_of_real_im
0.000017    17533 complex.of_real_exp_of_real_re
0.000017    17534 complex.exp_of_real_im
0.000017    17535 complex.cos_of_real_im
0.000017    17536 real.exp.equations._eqn_1
0.000017    17537 real.exp_ne_zero
0.000017    17538 real.integral_domain
0.000017    17539 mul_self_eq_one_iff
0.000017    17540 complex.of_real_sin
0.000017    17541 real.sin_sq_add_cos_sq
0.000016    17542 eq_zero_of_mul_self_eq_zero
0.000017    17543 real.sin_eq_zero_iff_cos_eq
0.000017    17544 real.exp_zero
0.000017    17545 real.exp_add
0.000017    17546 lt_mul_iff_one_lt_left
0.000017    17547 add_neg_of_nonpos_of_neg
0.000017    17548 add_nonpos
0.000016    17549 cau_seq.le_of_le_of_eq
0.000017    17550 cau_seq.le_lim
0.000017    17551 real.add_semigroup
0.000017    17552 is_add_group_hom
0.000016    17553 add_cancel_monoid.to_add_left_cancel_monoid
0.000017    17554 is_add_monoid_hom.of_add
0.000017    17555 is_add_group_hom.to_is_add_hom
0.000016    17556 is_add_group_hom.to_is_add_monoid_hom
0.000017    17557 complex.re.is_add_group_hom
0.000017    17558 real.add_one_le_exp_of_nonneg
0.000017    17559 sub_neg_of_lt
0.000017    17560 real.one_le_exp
0.000017    17561 complex.of_real_neg
0.000017    17562 complex.of_real_exp
0.000017    17563 real.exp_neg
0.000016    17564 real.exp_pos
0.000017    17565 add_neg
0.000017    17566 real.exp_strict_mono
0.000017    17567 real.exp_injective
0.000017    17568 real.exp_eq_one_iff
0.000016    17569 sub_floor_div_mul_nonneg
0.000017    17570 real.pi.equations._eqn_1
0.000017    17571 real.one_le_pi_div_two
0.000016    17572 real.two_le_pi
0.000017    17573 real.pi_pos
0.000017    17574 _private.1076498285.pow_le_pow_of_le_one_aux
0.000017    17575 nat.exists_eq_add_of_le
0.000017    17576 pow_le_pow_of_le_one
0.000016    17577 norm_num.mul_pos_neg
0.000017    17578 norm_num.add_bit1_bit1
4.832578    17579 norm_num.adc_bit1_bit0
0.000123    17580 norm_num.adc_bit0_bit1
0.000027    17581 norm_num.adc_bit0_one
0.000015    17582 neg_of_neg_pos
0.000014    17583 linarith.mul_neg
0.000014    17584 cancel_factors.sub_subst
0.000014    17585 cancel_factors.add_subst
0.000014    17586 cancel_factors.mul_subst
0.000014    17587 mul_div_comm
0.000014    17588 cancel_factors.div_subst
0.000014    17589 linarith.mul_nonpos
0.000014    17590 nat_mul_inj
0.000014    17591 nat_mul_inj'
0.000014    17592 bit0_injective
0.000016    17593 bit0_eq_bit0
0.000014    17594 complex.of_real_bit1
0.000013    17595 complex.bit1_re
0.000013    17596 complex.bit1_im
0.000014    17597 real.sin_bound
0.000013    17598 real.sin_pos_of_pos_of_le_one
0.000013    17599 _private.3518407937.sinh_add_aux
0.000014    17600 complex.sinh_add
0.000013    17601 complex.sin_add
0.000013    17602 complex.sin_two_mul
0.000014    17603 real.sin_two_mul
0.000013    17604 real.sin_pos_of_pos_of_le_two
0.000013    17605 real.sin.equations._eqn_1
0.000014    17606 real.sin_add
0.000013    17607 real.cos_pi_div_two
0.000013    17608 real.sin_pi
0.000014    17609 real.cos.equations._eqn_1
0.000013    17610 complex.cos_neg
0.000013    17611 real.cos_neg
0.000013    17612 zero_pow'
0.000014    17613 real.cos_pi
0.000013    17614 complex.sin_neg
0.000013    17615 real.sin_neg
0.000014    17616 real.sin_pi_sub
0.000013    17617 real.pi_div_two_le_two
0.000013    17618 real.pi_le_four
0.000014    17619 le_of_not_ge
0.000013    17620 real.sin_pos_of_pos_of_lt_pi
0.000013    17621 sub_floor_div_mul_lt
0.000014    17622 complex.sin_zero
0.000013    17623 real.sin_zero
0.000013    17624 real.sin_nat_mul_pi
0.000013    17625 real.sin_int_mul_pi
0.000014    17626 real.sin_eq_zero_iff
0.000013    17627 int.mod_two_eq_zero_or_one
0.000013    17628 int.cast_bit0
0.000014    17629 int.cast_two
0.000013    17630 real.cos_add
0.000013    17631 complex.cos_zero
0.000013    17632 real.cos_zero
0.000013    17633 real.cos_two_pi
0.000014    17634 real.sin_two_pi
0.000013    17635 real.cos_nat_mul_two_pi
0.000013    17636 real.cos_int_mul_two_pi
0.000014    17637 real.cos_int_mul_two_pi_add_pi
0.000013    17638 norm_num.lt_neg_pos
0.000013    17639 real.cos_eq_one_iff
0.000014    17640 complex.of_real_int_cast
0.000013    17641 complex.int_cast_re
0.000013    17642 complex.int_cast_im
0.000013    17643 not_lt_of_gt
0.000014    17644 complex.exp_eq_one_iff
0.000013    17645 mul_div_assoc'
0.000013    17646 real.pi_ne_zero
0.000014    17647 complex.two_pi_I_ne_zero
0.000013    17648 complex.is_primitive_root_exp_of_coprime
0.000013    17649 nat.coprime_one_left
0.000014    17650 complex.is_primitive_root_exp
0.000013    17651 complex.card_primitive_roots
0.000014    17652 pow_bit0_pos
0.000013    17653 bex.imp_right
0.000013    17654 intermediate_value_univ₂_eventually₁
0.000014    17655 filter.comap_coe_ne_bot_of_le_principal
0.000013    17656 filter.eventually_comap'
0.000013    17657 is_preconnected.intermediate_value₂_eventually₁
0.000014    17658 eventually_le_of_tendsto_lt
0.000013    17659 is_preconnected.intermediate_value_Ioc
0.000014    17660 set.ord_connected.inter
0.000013    17661 set.ord_connected_Ioi
0.000014    17662 set.ord_connected_Iic
0.000013    17663 set.ord_connected_Ioc
0.000013    17664 is_preconnected_Ioc
0.000014    17665 is_glb.nhds_within_ne_bot
0.000013    17666 lower_bounds_mono_set
0.000014    17667 is_lub.of_subset_of_superset
0.000013    17668 is_glb.of_subset_of_superset
0.000014    17669 is_glb_Ioo
0.000013    17670 is_least_Icc
0.000014    17671 is_glb_Icc
0.000013    17672 is_glb_Ioc
0.000013    17673 set.right_mem_Ioc
0.000014    17674 set.nonempty_Ioc
0.000013    17675 left_nhds_within_Ioc_ne_bot
0.000014    17676 intermediate_value_Ioc
0.000013    17677 category_theory.bundled
0.000014    17678 Top
0.000013    17679 topological_space.opens
0.000014    17680 category_theory.bundled.α
0.000013    17681 category_theory.bundled.has_coe_to_sort
0.000014    17682 Top.has_coe_to_sort
0.000013    17683 category_theory.bundled.str
0.000013    17684 Top.topological_space
0.000014    17685 subtype.partial_order
0.000013    17686 topological_space.opens.partial_order
0.000014    17687 Top.presheaf.sheaf_condition.opens_le_cover
0.000013    17688 category_theory.has_hom
0.000019    17689 category_theory.has_hom.hom
0.000014    17690 category_theory.category_struct
0.000013    17691 category_theory.category_struct.to_has_hom
0.000014    17692 category_theory.category_struct.comp
0.000013    17693 category_theory.category_struct.id
0.000013    17694 category_theory.category
0.000014    17695 category_theory.category.to_category_struct
0.000013    17696 category_theory.functor
0.000014    17697 category_theory.functor.obj
0.000013    17698 category_theory.comma
0.000014    17699 category_theory.discrete
0.000013    17700 category_theory.small_category
0.000013    17701 category_theory.discrete_category._proof_1
0.000014    17702 ulift.decidable_eq
0.000013    17703 decidable_eq_of_subsingleton._main
0.000014    17704 decidable_eq_of_subsingleton
0.000013    17705 subsingleton_prop
0.000014    17706 category_theory.discrete_category._proof_2
0.000013    17707 category_theory.discrete_category._proof_3
0.699157    17708 category_theory.discrete_category._proof_4
0.000076    17709 category_theory.discrete_category
0.000024    17710 category_theory.functor.map
0.000015    17711 category_theory.nat_trans
0.000014    17712 category_theory.category.comp_id
0.000014    17713 category_theory.category.id_comp
0.000014    17714 category_theory.nat_trans.id._proof_1
0.000014    17715 category_theory.nat_trans.id
0.000014    17716 category_theory.nat_trans.app
0.000014    17717 category_theory.category.assoc
0.000014    17718 category_theory.nat_trans.naturality
0.000014    17719 category_theory.nat_trans.naturality_assoc
0.000017    17720 category_theory.nat_trans.vcomp._proof_1
0.000017    17721 category_theory.nat_trans.vcomp
0.000015    17722 category_theory.nat_trans.cases_on
0.000016    17723 category_theory.nat_trans.ext
0.000017    17724 category_theory.functor.category._proof_1
0.000015    17725 category_theory.functor.category._proof_2
0.000014    17726 category_theory.functor.category._proof_3
0.000016    17727 category_theory.functor.category
0.000019    17728 category_theory.functor.const._proof_1
0.000016    17729 category_theory.functor.const._proof_2
0.000017    17730 category_theory.functor.const._proof_3
0.000015    17731 category_theory.functor.const._proof_4
0.000014    17732 category_theory.functor.const._proof_5
0.000017    17733 category_theory.functor.const._proof_6
0.000015    17734 category_theory.functor.const._proof_7
0.000017    17735 category_theory.functor.const._proof_8
0.000017    17736 category_theory.functor.const._proof_9
0.000015    17737 category_theory.functor.const
0.000014    17738 category_theory.functor.from_punit
0.000017    17739 category_theory.structured_arrow
0.000015    17740 category_theory.pairwise
0.000017    17741 category_theory.pairwise.hom
0.000017    17742 category_theory.pairwise.cases_on
0.000014    17743 category_theory.pairwise.id._main
0.000015    17744 category_theory.pairwise.id
0.000017    17745 category_theory.pairwise.hom.cases_on
0.000015    17746 category_theory.pairwise.no_confusion_type
0.000016    17747 category_theory.pairwise.no_confusion
0.000018    17748 category_theory.pairwise.comp._main
0.000016    17749 category_theory.pairwise.comp
0.000017    17750 category_theory.pairwise.category_theory.category._proof_1
0.000017    17751 category_theory.pairwise.category_theory.category._proof_2
0.000017    17752 category_theory.pairwise.category_theory.category._proof_3
0.000017    17753 category_theory.pairwise.category_theory.category
0.000017    17754 category_theory.induced_category
0.000017    17755 category_theory.induced_category.category._proof_1
0.000017    17756 category_theory.induced_category.category._proof_2
0.000016    17757 category_theory.induced_category.category._proof_3
0.000017    17758 category_theory.induced_category.category
0.000017    17759 category_theory.full_subcategory
0.000017    17760 preorder.small_category._proof_1
0.000016    17761 preorder.small_category._proof_2
0.000017    17762 preorder.small_category._proof_3
0.000017    17763 preorder.small_category._proof_4
0.000017    17764 preorder.small_category
0.000017    17765 Top.presheaf.sheaf_condition.opens_le_cover.category_theory.category
0.000016    17766 topological_space.opens.interior
0.000017    17767 topological_space.opens.gi._proof_1
0.000017    17768 topological_space.opens.set.has_coe
0.000017    17769 galois_connection.dual
0.000017    17770 topological_space.opens.gc
0.000017    17771 topological_space.opens.gi._proof_2
0.000016    17772 topological_space.opens.gi._proof_3
0.000017    17773 topological_space.opens.gi._proof_4
0.000017    17774 topological_space.opens.gi
0.000017    17775 topological_space.opens.has_subset
0.000016    17776 topological_space.opens.complete_lattice._proof_1
0.000017    17777 interior_univ
0.000017    17778 topological_space.opens.complete_lattice._proof_2
0.000017    17779 topological_space.opens.complete_lattice._proof_3
0.000017    17780 topological_space.opens.complete_lattice._proof_4
0.000016    17781 topological_space.opens.complete_lattice._proof_5
0.000017    17782 topological_space.opens.complete_lattice._proof_6
0.000017    17783 topological_space.opens.complete_lattice._proof_7
0.000017    17784 topological_space.opens.complete_lattice._proof_8
0.000016    17785 topological_space.opens.complete_lattice._proof_9
0.000017    17786 topological_space.opens.complete_lattice._proof_10
0.000017    17787 topological_space.opens.complete_lattice
0.000017    17788 Top.presheaf.sheaf_condition.pairwise_to_opens_le_cover_obj._main
0.000015    17789 Top.presheaf.sheaf_condition.pairwise_to_opens_le_cover_obj
0.000016    17790 category_theory.hom_of_le
0.000017    17791 Top.presheaf.sheaf_condition.pairwise_to_opens_le_cover_map._main
0.118903    17792 Top.presheaf.sheaf_condition.pairwise_to_opens_le_cover_map
0.000074    17793 Top.presheaf.sheaf_condition.pairwise_to_opens_le_cover._proof_1
0.000024    17794 Top.presheaf.sheaf_condition.pairwise_to_opens_le_cover._proof_2
0.000015    17795 Top.presheaf.sheaf_condition.pairwise_to_opens_le_cover
0.000014    17796 Top.presheaf.sheaf_condition.opens_le_cover.index._proof_1
0.000015    17797 Top.presheaf.sheaf_condition.opens_le_cover.index
0.000014    17798 Top.presheaf.sheaf_condition.opens_le_cover.hom_to_index._proof_1
0.000014    17799 Top.presheaf.sheaf_condition.opens_le_cover.hom_to_index
0.000014    17800 Top.presheaf.sheaf_condition.category_theory.structured_arrow.nonempty
0.000015    17801 category_theory.limits.has_zero_morphisms
0.000014    17802 category_theory.limits.has_zero_morphisms.has_zero
0.000017    17803 category_theory.limits.binary_bicone
0.000017    17804 category_theory.limits.cone
0.000018    17805 category_theory.limits.cone.X
0.000017    17806 category_theory.limits.cone.π
0.000015    17807 category_theory.limits.is_limit
0.000014    17808 category_theory.limits.walking_pair
0.000017    17809 category_theory.discrete.functor._proof_1
0.000015    17810 category_theory.discrete.functor._proof_2
0.000014    17811 category_theory.discrete.functor._proof_3
0.000018    17812 category_theory.discrete.functor._proof_4
0.000017    17813 category_theory.discrete.functor._proof_5
0.000015    17814 category_theory.discrete.functor._proof_6
0.000014    17815 category_theory.discrete.functor._proof_7
0.000017    17816 category_theory.discrete.functor
0.000019    17817 category_theory.limits.walking_pair.cases_on
0.000017    17818 category_theory.limits.pair
0.000017    17819 category_theory.limits.binary_fan
0.000017    17820 ulift.ext
0.000017    17821 plift.ext
0.000017    17822 category_theory.functor.map_id
0.000017    17823 category_theory.discrete.functor_map_id
0.000017    17824 category_theory.limits.binary_fan.mk._proof_1
0.000017    17825 category_theory.limits.binary_fan.mk
0.000017    17826 category_theory.limits.binary_bicone.X
0.000017    17827 category_theory.limits.binary_bicone.fst
0.000017    17828 category_theory.limits.binary_bicone.snd
0.000017    17829 category_theory.limits.binary_bicone.to_cone
0.000017    17830 category_theory.limits.cocone
0.000017    17831 category_theory.limits.cocone.X
0.000017    17832 category_theory.limits.cocone.ι
0.000017    17833 category_theory.limits.is_colimit
0.000017    17834 category_theory.limits.binary_cofan
0.000017    17835 category_theory.limits.binary_cofan.mk._proof_1
0.000017    17836 category_theory.limits.binary_cofan.mk
0.000017    17837 category_theory.limits.binary_bicone.inl
0.000017    17838 category_theory.limits.binary_bicone.inr
0.000017    17839 category_theory.limits.binary_bicone.to_cocone
0.000017    17840 category_theory.limits.binary_biproduct_data
0.000017    17841 category_theory.limits.has_binary_biproduct
0.000016    17842 category_theory.limits.binary_biproduct_data.bicone
0.000017    17843 category_theory.limits.has_binary_biproduct.exists_binary_biproduct
0.000017    17844 category_theory.limits.get_binary_biproduct_data
0.000017    17845 category_theory.limits.binary_biproduct.bicone
0.000017    17846 category_theory.limits.biprod
0.000017    17847 category_theory.limits.is_limit.lift
0.000017    17848 category_theory.limits.binary_biproduct_data.is_limit
0.000017    17849 category_theory.limits.binary_biproduct.is_limit
0.000017    17850 category_theory.limits.biprod.lift
0.000017    17851 category_theory.limits.biprod.fst
0.000017    17852 category_theory.limits.is_limit.fac
0.000017    17853 category_theory.limits.biprod.lift_fst
0.000017    17854 is_locally_constant
0.000017    17855 locally_constant
0.000017    17856 locally_constant.to_fun
0.000015    17857 locally_constant.has_coe_to_fun
0.000014    17858 is_locally_constant.comp
0.000014    17859 is_locally_constant.tfae
0.000014    17860 is_locally_constant.iff_eventually_eq
0.000017    17861 is_locally_constant.eventually_eq
0.000016    17862 is_locally_constant.prod_mk
0.000018    17863 is_locally_constant.comp₂
0.000017    17864 is_locally_constant.add
0.000017    17865 locally_constant.is_locally_constant
0.000017    17866 locally_constant.has_add._proof_1
0.000017    17867 locally_constant.has_add
0.000017    17868 locally_constant.cases_on
0.000017    17869 locally_constant.coe_injective
0.000016    17870 locally_constant.ext
0.000017    17871 locally_constant.add_apply
0.000017    17872 locally_constant.add_semigroup._proof_1
0.000017    17873 locally_constant.add_semigroup
0.000017    17874 locally_constant.add_monoid._proof_1
0.000017    17875 is_locally_constant.of_constant
0.000017    17876 is_locally_constant.const
0.000017    17877 locally_constant.const
0.000017    17878 locally_constant.has_zero
0.000017    17879 locally_constant.zero_apply
0.202738    17880 locally_constant.add_zero_class._proof_1
0.000076    17881 locally_constant.add_zero_class._proof_2
0.000023    17882 locally_constant.add_zero_class
0.000015    17883 locally_constant.add_monoid._proof_2
0.000014    17884 locally_constant.add_monoid._proof_3
0.000014    17885 locally_constant.add_monoid._proof_4
0.000014    17886 locally_constant.add_monoid._proof_5
0.000015    17887 locally_constant.add_monoid._proof_6
0.000014    17888 locally_constant.add_monoid._proof_7
0.000014    17889 locally_constant.add_monoid
0.000016    17890 locally_constant.add_comm_monoid._proof_2
0.000018    17891 is_extensional.cases_on
0.000018    17892 measurable_space.generate_measurable
0.000017    17893 measurable_space.generate_from
0.000017    17894 borel
0.000015    17895 borel_space
0.000014    17896 topological_space.second_countable_topology
0.000018    17897 measurable
0.000015    17898 measure_theory.measure.ae._proof_1
0.000019    17899 measure_theory.measure_mono_null
0.000016    17900 measure_theory.measure.ae._proof_2
0.000015    17901 measure_theory.outer_measure.union_null
0.000015    17902 measure_theory.measure_union_null
0.000016    17903 measure_theory.measure.ae._proof_3
0.000015    17904 measure_theory.measure.ae
0.000018    17905 ae_measurable
0.000017    17906 filter.eventually_eq.refl
0.000015    17907 filter.eventually_eq.rfl
0.000014    17908 measure_theory.ae_eq_refl
0.000018    17909 measure_theory.ae_eq_symm
0.000015    17910 filter.eventually_eq.rw
0.000016    17911 filter.eventually_eq.trans
0.000018    17912 measure_theory.ae_eq_trans
0.000017    17913 measure_theory.measure.ae_eq_setoid._proof_1
0.000017    17914 measure_theory.measure.ae_eq_setoid
0.000017    17915 measure_theory.ae_eq_fun
0.000016    17916 filter.germ_setoid._proof_1
0.000017    17917 filter.germ_setoid
0.000017    17918 filter.germ
0.000017    17919 measurable_space.mk_of_closure._proof_1
0.000017    17920 measurable_space.mk_of_closure._proof_2
0.000016    17921 measurable_space.mk_of_closure._proof_3
0.000017    17922 measurable_space.mk_of_closure
0.000017    17923 measurable_space.measurable_set_generate_from
0.000017    17924 measurable_space.generate_measurable.rec_on
0.000016    17925 measurable_space.generate_from_le
0.000017    17926 measurable_space.generate_from_le_iff
0.000017    17927 measurable_space.gi_generate_from._proof_1
0.000016    17928 measurable_space.gi_generate_from._proof_2
0.000017    17929 measurable_space.gi_generate_from._proof_3
0.000017    17930 measurable_space.mk_of_closure_sets
0.000016    17931 measurable_space.gi_generate_from._proof_4
0.000017    17932 measurable_space.gi_generate_from
0.000017    17933 measurable_space.complete_lattice
0.000017    17934 measurable_space.comap._proof_1
0.000017    17935 measurable_space.comap._match_1
0.000017    17936 measurable_space.comap._proof_2
0.000016    17937 measurable_space.comap._match_2
0.000017    17938 measurable_space.comap._proof_3
0.000017    17939 measurable_space.comap
0.000014    17940 prod.measurable_space
0.000015    17941 function.uncurry
0.000014    17942 measure_theory.ae_eq_fun.mk
0.000016    17943 ae_measurable.mk
0.000017    17944 measurable.comp
0.000017    17945 ae_measurable.measurable_mk
0.000017    17946 filter.eventually_eq.fun_comp
0.000017    17947 ae_measurable.ae_eq_mk
0.000017    17948 measurable.comp_ae_measurable
0.000016    17949 measure_theory.ae_eq_fun.comp._proof_1
0.000017    17950 measure_theory.ae_eq_fun.mk_eq_mk
0.000017    17951 measure_theory.ae_eq_fun.comp._proof_2
0.000016    17952 measure_theory.ae_eq_fun.comp
0.000018    17953 measurable_space.map._proof_1
0.000017    17954 measurable_space.map._proof_2
0.000016    17955 measurable_space.map
0.000017    17956 measurable_iff_le_map
0.000017    17957 measurable.of_le_map
0.000017    17958 measurable_space.comap_le_iff_le_map
0.000017    17959 measurable_space.map_comp
0.000017    17960 measurable.prod
0.000017    17961 measurable.prod_mk
0.000016    17962 filter.eventually_eq.prod_mk
0.000017    17963 ae_measurable.prod_mk
0.000017    17964 measure_theory.ae_eq_fun.pair._proof_1
0.000017    17965 measure_theory.ae_eq_fun.pair._proof_2
0.000017    17966 measure_theory.ae_eq_fun.pair
0.000016    17967 measure_theory.ae_eq_fun.comp₂
0.000017    17968 has_measurable_add₂
0.000017    17969 has_measurable_add₂.measurable_add
0.000017    17970 opens_measurable_space
0.000017    17971 measurable.mono
0.000016    17972 continuous.borel_measurable
0.000017    17973 opens_measurable_space.borel_le
0.000016    17974 borel_space.measurable_eq
0.000017    17975 continuous.measurable
0.000016    17976 topological_space.is_topological_basis
0.000017    17977 set.bUnion_eq_univ_iff
0.000017    17978 Inf_insert
0.000017    17979 set.sInter_insert
0.000017    17980 is_open_sInter
0.000017    17981 topological_space.is_topological_basis_of_subbasis
0.000017    17982 topological_space.second_countable_topology.is_open_generated_countable
0.399005    17983 topological_space.exists_countable_basis
0.000076    17984 topological_space.countable_basis
0.000026    17985 topological_space.countable_countable_basis
0.000015    17986 topological_space.is_topological_basis.eq_generate_from
0.000014    17987 filter.binfi_sets_eq
0.000015    17988 topological_space.is_topological_basis.exists_subset_inter
0.000014    17989 topological_space.is_topological_basis.sUnion_eq
0.000014    17990 set.mem_bUnion_iff
0.000014    17991 topological_space.is_topological_basis.mem_nhds_iff
0.000015    17992 topological_space.is_topological_basis.exists_subset_of_mem_open
0.000016    17993 topological_space.is_basis_countable_basis
0.000017    17994 topological_space.is_open_Union_countable
0.000017    17995 topological_space.is_open_sUnion_countable
0.000017    17996 measurable_set.bUnion
0.000015    17997 measurable_set.sUnion
0.000014    17998 borel_eq_generate_from_of_subbasis
0.000019    17999 topological_space.is_topological_basis.borel_eq_generate_from
0.000015    18000 topological_space.is_topological_basis.second_countable_topology
0.000014    18001 set.mem_sUnion
0.000018    18002 set.sUnion_eq_univ_iff
0.000016    18003 binfi_le_of_le
0.000015    18004 topological_space.is_topological_basis_of_open_of_nhds
0.000015    18005 topological_space.is_topological_basis.is_open
0.000016    18006 topological_space.is_topological_basis.nhds_has_basis
0.000018    18007 set.mem_image2_of_mem
0.000017    18008 topological_space.is_topological_basis.prod
0.000017    18009 set.image_prod
0.000015    18010 set.prod_range_range_eq
0.000014    18011 set.range_prod_map
0.000014    18012 encodable.encode_sigma._main
0.000015    18013 encodable.encode_sigma
0.000016    18014 encodable.decode_sigma._match_1
0.000018    18015 encodable.decode_sigma
0.000016    18016 encodable.encode_sigma._main.equations._eqn_1
0.000017    18017 encodable.encode_sigma.equations._eqn_1
0.000017    18018 encodable.decode_sigma.equations._eqn_1
0.000017    18019 encodable.decode_sigma._match_1.equations._eqn_1
0.000017    18020 encodable.sigma._match_1
0.000014    18021 encodable.sigma._proof_1
0.000014    18022 encodable.sigma
0.000016    18023 encodable.prod
0.000017    18024 set.countable.prod
0.000017    18025 set.countable.image2
0.000017    18026 topological_space.prod.second_countable_topology
0.000016    18027 measurable_iff_comap_le
0.000017    18028 measurable.of_comap_le
0.000017    18029 measurable_fst
0.000016    18030 measurable_snd
0.000017    18031 measurable_set.prod
0.000017    18032 is_open.measurable_set
0.000017    18033 topological_space.is_open_of_mem_countable_basis
0.000017    18034 prod.opens_measurable_space
0.000017    18035 borel_space.opens_measurable
0.000017    18036 has_continuous_add.has_measurable_mul₂
0.000017    18037 measure_theory.ae_eq_fun.has_add._proof_1
0.000017    18038 measure_theory.ae_eq_fun.has_add
0.000017    18039 measurable.ae_measurable
0.000017    18040 measurable_set.const
0.000017    18041 measurable_const
0.000017    18042 ae_measurable_const
0.000017    18043 measure_theory.ae_eq_fun.const
0.000016    18044 measure_theory.ae_eq_fun.has_zero
0.000017    18045 has_measurable_neg
0.000017    18046 has_measurable_neg.measurable_neg
0.000017    18047 topological_add_group.has_measurable_neg
0.000017    18048 measure_theory.ae_eq_fun.has_neg._proof_1
0.000017    18049 measure_theory.ae_eq_fun.has_neg
0.000016    18050 has_measurable_sub₂
0.000017    18051 has_measurable_sub₂.measurable_sub
0.000017    18052 measurable.add
0.000016    18053 measurable.neg
0.000017    18054 has_measurable_div₂_of_add_neg
0.000017    18055 measure_theory.ae_eq_fun.has_sub._proof_1
0.000017    18056 measure_theory.ae_eq_fun.has_sub
0.000017    18057 relator.lift_fun
0.000016    18058 quotient.map₂._proof_1
0.000017    18059 quotient.map₂
0.000017    18060 quotient.map₂'
0.000017    18061 filter.germ.map₂._proof_1
0.000016    18062 filter.germ.map₂
0.000017    18063 filter.germ.has_add
0.000018    18064 filter.germ.has_coe_t
0.000017    18065 filter.germ.quot_mk_eq_coe
0.000016    18066 filter.germ.coe_add
0.000017    18067 pi.add_semigroup._proof_1
0.000017    18068 pi.add_semigroup
0.000017    18069 filter.germ.add_semigroup._proof_1
0.000017    18070 filter.germ.add_semigroup
0.000017    18071 filter.germ.add_monoid._proof_1
0.000017    18072 filter.germ.has_lift_t
0.000016    18073 filter.germ.has_zero
0.000017    18074 filter.germ.induction_on
0.000017    18075 filter.germ.coe_zero
0.000017    18076 filter.germ.coe_eq
0.000017    18077 filter.germ.add_monoid._proof_2
0.000017    18078 filter.germ.add_monoid._proof_3
0.000016    18079 filter.germ.add_monoid._proof_4
0.000017    18080 filter.germ.add_monoid._proof_5
0.000017    18081 filter.germ.add_monoid._proof_6
0.000017    18082 filter.germ.add_monoid._proof_7
0.000017    18083 filter.germ.add_monoid
0.000016    18084 filter.germ.sub_neg_add_monoid._proof_1
0.000017    18085 filter.germ.sub_neg_add_monoid._proof_2
1.491528    18086 filter.germ.sub_neg_add_monoid._proof_3
0.000081    18087 filter.germ.sub_neg_add_monoid._proof_4
0.000020    18088 filter.germ.sub_neg_add_monoid._proof_5
0.000015    18089 quot.map._proof_1
0.000014    18090 quot.map
0.000015    18091 quotient.map'
0.000014    18092 filter.germ.map'
0.000014    18093 filter.germ.map._proof_1
0.000014    18094 filter.germ.map
0.000014    18095 filter.germ.has_neg
0.000016    18096 filter.germ.has_sub
0.000018    18097 pi.sub_neg_add_monoid._proof_1
0.000015    18098 pi.sub_neg_add_monoid._proof_2
0.000014    18099 pi.sub_neg_add_monoid._proof_3
0.000014    18100 pi.sub_neg_add_monoid._proof_4
0.000014    18101 pi.sub_neg_add_monoid._proof_5
0.000016    18102 pi.sub_neg_add_monoid._proof_6
0.000018    18103 pi.sub_neg_add_monoid
0.000015    18104 filter.germ.sub_neg_add_monoid._proof_6
0.000014    18105 filter.germ.sub_neg_add_monoid
0.000016    18106 filter.germ.add_group._proof_1
0.000019    18107 filter.germ.add_group._proof_2
0.000015    18108 filter.germ.add_group._proof_3
0.000014    18109 filter.germ.add_group._proof_4
0.000018    18110 filter.germ.add_group._proof_5
0.000017    18111 filter.germ.add_group._proof_6
0.000015    18112 filter.germ.add_group._proof_7
0.000014    18113 filter.germ.add_group
0.000029    18114 measure_theory.ae_eq_fun.to_germ._proof_1
0.000015    18115 measure_theory.ae_eq_fun.to_germ
0.000014    18116 quotient.out'
0.000019    18117 measure_theory.ae_eq_fun.has_coe_to_fun._proof_1
0.000017    18118 measure_theory.ae_eq_fun.has_coe_to_fun
0.000015    18119 measure_theory.ae_eq_fun.measurable
0.000015    18120 measure_theory.ae_eq_fun.ae_measurable
0.000017    18121 quotient.out_eq'
0.000018    18122 measure_theory.ae_eq_fun.mk.equations._eqn_1
0.000015    18123 measure_theory.ae_eq_fun.mk_coe_fn
0.000015    18124 measure_theory.ae_eq_fun.ext
0.000016    18125 measure_theory.ae_eq_fun.mk_to_germ
0.000017    18126 measure_theory.ae_eq_fun.to_germ_eq
0.000017    18127 measure_theory.ae_eq_fun.to_germ_injective
0.000017    18128 measure_theory.ae_eq_fun.zero_to_germ
0.000017    18129 measure_theory.ae_eq_fun.add_group._proof_1
0.000016    18130 measure_theory.ae_eq_fun.induction_on
0.000017    18131 measure_theory.ae_eq_fun.induction_on₂
0.000017    18132 measure_theory.ae_eq_fun.comp₂_mk_mk
0.000017    18133 filter.germ.map₂_coe
0.000016    18134 measure_theory.ae_eq_fun.comp₂_to_germ
0.000017    18135 measure_theory.ae_eq_fun.add_to_germ
0.000017    18136 measure_theory.ae_eq_fun.add_group._proof_2
0.000017    18137 measure_theory.ae_eq_fun.comp_mk
0.000017    18138 filter.germ.map_coe
0.000017    18139 measure_theory.ae_eq_fun.comp_to_germ
0.000016    18140 measure_theory.ae_eq_fun.neg_to_germ
0.000017    18141 measure_theory.ae_eq_fun.sub_to_germ
0.000017    18142 measure_theory.ae_eq_fun.add_group
0.000017    18143 measure_theory.Lp._proof_1
0.000017    18144 measure_theory.Lp._proof_2
0.000016    18145 filter.Limsup
0.000017    18146 filter.limsup
0.000017    18147 ess_sup
0.000017    18148 measure_theory.snorm_ess_sup
0.000016    18149 real.decidable_lt
0.000017    18150 complex.decidable_eq
0.000017    18151 set.cod_restrict
0.000017    18152 strict_mono.cod_restrict
0.000016    18153 real.exp_order_iso._proof_1
0.000017    18154 real.has_deriv_at_exp
0.000017    18155 real.differentiable_exp
0.000017    18156 real.continuous_exp
0.000017    18157 real.semilattice_sup
0.000017    18158 nontrivial.dcases_on
0.000017    18159 by_contra
0.000016    18160 filter.nontrivial_iff_nonempty
0.000017    18161 filter.map_infi_le
0.000017    18162 filter.map_infi_eq
0.000017    18163 subtype.coe_le_coe
0.000016    18164 filter.map_coe_at_top_of_Ici_subset
0.000017    18165 set.Ici_subset_Ioi
0.000017    18166 filter.le_comap_map
0.000017    18167 filter.comap_map
0.000017    18168 filter.at_top_Ioi_eq
0.000016    18169 filter.tendsto_Ioi_at_top
0.000017    18170 filter.tendsto_at_top_of_add_const_right
0.000017    18171 filter.tendsto_at_top_of_add_bdd_above_right'
0.000016    18172 filter.tendsto_at_top_add_right_of_le'
0.000017    18173 filter.tendsto_at_top_add_const_right
0.000017    18174 real.tendsto_exp_at_top
0.000017    18175 set.dual_Ioo
0.000016    18176 tfae_mem_nhds_within_Iio
0.000017    18177 mem_nhds_within_Iio_iff_exists_mem_Ico_Ioo_subset
0.000017    18178 Ioo_mem_nhds_within_Iio
0.000017    18179 comap_coe_nhds_within_Iio_of_Ioo_subset
0.000016    18180 comap_coe_nhds_within_Ioi_of_Ioo_subset
0.000017    18181 comap_coe_Ioi_nhds_within_Ioi
0.000017    18182 tendsto_Ioi_at_bot
0.000017    18183 real.tendsto_exp_neg_at_top_nhds_0
0.000017    18184 filter.tendsto_at_bot
0.000016    18185 filter.tendsto_neg_at_top_at_bot
0.000017    18186 order_dual.ordered_add_comm_monoid._proof_1
0.000017    18187 order_dual.ordered_add_comm_monoid._proof_2
0.000017    18188 order_dual.ordered_add_comm_monoid._proof_3
0.000016    18189 order_dual.ordered_add_comm_monoid._proof_4
0.000017    18190 order_dual.ordered_add_comm_monoid._proof_5
0.000017    18191 order_dual.ordered_add_comm_monoid._proof_6
3.812279    18192 order_dual.ordered_add_comm_monoid._proof_7
0.000084    18193 order_dual.ordered_add_comm_monoid._proof_8
0.000027    18194 order_dual.ordered_add_comm_monoid._proof_9
0.000020    18195 order_dual.ordered_add_comm_monoid._proof_10
0.000014    18196 order_dual.ordered_add_comm_monoid._proof_11
0.000014    18197 order_dual.ordered_add_comm_monoid._proof_12
0.000015    18198 order_dual.ordered_add_comm_monoid
0.000014    18199 order_dual.ordered_add_comm_group._proof_1
0.000014    18200 order_dual.ordered_add_comm_group._proof_2
0.000014    18201 order_dual.ordered_add_comm_group._proof_3
0.000020    18202 order_dual.ordered_add_comm_group._proof_4
0.000017    18203 order_dual.ordered_add_comm_group._proof_5
0.000015    18204 order_dual.ordered_add_comm_group._proof_6
0.000014    18205 order_dual.ordered_add_comm_group._proof_7
0.000018    18206 order_dual.ordered_add_comm_group._proof_8
0.000020    18207 order_dual.ordered_add_comm_group._proof_9
0.000015    18208 order_dual.ordered_add_comm_group._proof_10
0.000016    18209 order_dual.ordered_add_comm_group._proof_11
0.000015    18210 order_dual.ordered_add_comm_group._proof_12
0.000014    18211 order_dual.ordered_add_comm_group._proof_13
0.000016    18212 order_dual.ordered_add_comm_group
0.000019    18213 filter.tendsto_neg_at_bot_at_top
0.000015    18214 real.tendsto_exp_at_bot
0.000017    18215 real.tendsto_exp_at_bot_nhds_within
0.000017    18216 real.exp_order_iso._proof_2
0.000015    18217 real.exp_order_iso
0.000014    18218 real.log._proof_1
0.000016    18219 real.log
0.000019    18220 set.proj_Icc._proof_1
0.000015    18221 set.proj_Icc
0.000018    18222 set.Icc_extend
0.000017    18223 neg_le_self
0.000014    18224 real.arcsin._proof_1
0.000015    18225 set.surj_on
0.000016    18226 set.bij_on
0.000015    18227 set.bij_on.maps_to
0.000016    18228 subtype.val_prop
0.000017    18229 set.bij_on.equiv._proof_1
0.000017    18230 set.bij_on.inj_on
0.000017    18231 set.bij_on.surj_on
0.000017    18232 set.bij_on.bijective
0.000017    18233 set.bij_on.equiv
0.000017    18234 set.bij_on.mk
0.000018    18235 set.inj_on.bij_on_image
0.000017    18236 strict_mono_incr_on.inj_on
0.000016    18237 strict_mono_incr_on.order_iso._proof_1
0.000017    18238 strict_mono_incr_on.order_iso._proof_2
0.000017    18239 strict_mono_incr_on.order_iso
0.000017    18240 real.pi_div_two_pos
0.000017    18241 real.sin_pi_div_two
0.000017    18242 real.cos_sub_pi_div_two
0.000017    18243 complex.cos_sub
0.000017    18244 complex.cos_sub_cos
0.000017    18245 real.cos_sub_cos
0.000017    18246 real.cos_lt_cos_of_nonneg_of_le_pi_div_two
0.000017    18247 real.cos_sub
0.000017    18248 real.cos_pi_sub
0.000018    18249 real.sin_add_pi_div_two
0.000016    18250 has_strict_fderiv_at.restrict_scalars
0.000017    18251 has_strict_deriv_at_iff_has_strict_fderiv_at
0.000018    18252 has_strict_deriv_at.has_strict_fderiv_at
0.000017    18253 has_strict_deriv_at.real_of_complex
0.000017    18254 has_strict_deriv_at.sub
0.000017    18255 complex.has_strict_deriv_at_sin
0.000017    18256 real.has_strict_deriv_at_sin
0.000017    18257 real.has_deriv_at_sin
0.000017    18258 real.differentiable_sin
0.000017    18259 real.continuous_sin
0.000017    18260 real.sin_pos_of_mem_Ioo
0.000017    18261 set.diff_diff
0.000017    18262 set.mem_Ioo
0.000017    18263 set.Ioc_diff_right
0.000017    18264 set.Icc_diff_both
0.000017    18265 set.Icc_diff_Ioo_same
0.000017    18266 set.nonempty_Ioo
0.000017    18267 is_lub_Ioo
0.000017    18268 closure_Ioo
0.000017    18269 real.sin_nonneg_of_mem_Icc
0.000016    18270 cancel_factors.neg_subst
0.000017    18271 real.cos_nonneg_of_mem_Icc
0.000017    18272 real.cos_nonpos_of_pi_div_two_le_of_le
0.000017    18273 real.cos_pos_of_mem_Ioo
0.000017    18274 real.cos_neg_of_pi_div_two_lt_of_lt
0.000017    18275 linarith.lt_of_lt_of_eq
0.000017    18276 linarith.mul_eq
0.000016    18277 real.cos_lt_cos_of_nonneg_of_le_pi
0.000018    18278 real.sin_lt_sin_of_lt_of_le_pi_div_two
0.000017    18279 real.strict_mono_incr_on_sin
0.000017    18280 set.eq_of_subset_of_subset
0.000016    18281 set.maps_to.image_subset
0.000017    18282 set.surj_on.image_eq_of_maps_to
0.000017    18283 set.bij_on.image_eq
0.000017    18284 abs_le_iff_mul_self_le
0.000015    18285 abs_le_one_iff_mul_self_le_one
0.000016    18286 real.sin_sq_le_one
0.000017    18287 real.abs_sin_le_one
0.000017    18288 real.neg_one_le_sin
0.000017    18289 real.sin_le_one
0.000017    18290 real.sin_mem_Icc
0.000017    18291 real.maps_to_sin
0.000016    18292 real.inj_on_sin
0.000017    18293 intermediate_value_Icc
0.000017    18294 real.surj_on_sin
0.000017    18295 real.bij_on_sin
0.000017    18296 real.sin_order_iso._proof_1
0.000017    18297 real.sin_order_iso
0.000017    18298 real.arcsin
0.000017    18299 complex.arg
0.000017    18300 complex.log
0.000017    18301 complex.cpow
0.000017    18302 complex.has_pow
0.000017    18303 real.rpow
0.000017    18304 real.has_pow
0.000017    18305 real.rpow_def
0.000017    18306 complex.cpow_def
0.000017    18307 complex.log.equations._eqn_1
0.000016    18308 complex.log_re
0.000018    18309 complex.log_im
0.292636    18310 complex.arg.equations._eqn_1
0.000075    18311 real.arcsin_mem_Icc
0.000023    18312 real.arcsin.equations._eqn_1
0.000016    18313 set.proj_Icc.equations._eqn_1
0.000014    18314 set.proj_Icc_of_mem
0.000015    18315 set.Icc_extend_of_mem
0.000014    18316 real.coe_sin_order_iso_apply
0.000014    18317 order_iso.apply_symm_apply
0.000014    18318 real.sin_arcsin'
0.000014    18319 real.arcsin_eq_of_sin_eq
0.000017    18320 real.arcsin_zero
0.000017    18321 complex.arg_of_real_of_nonneg
0.000015    18322 complex.of_real_log
0.000015    18323 real.exp_eq_exp
0.000014    18324 real.rpow_def_of_nonneg
0.000014    18325 real.rpow_nonneg_of_nonneg
0.000016    18326 nnreal.rpow._proof_1
0.000017    18327 nnreal.rpow
0.000017    18328 nnreal.real.has_pow
0.000015    18329 ennreal.rpow._main
0.000014    18330 ennreal.rpow
0.000017    18331 ennreal.real.has_pow
0.000015    18332 measure_theory.simple_func
0.000016    18333 measure_theory.simple_func.to_fun
0.000018    18334 measure_theory.simple_func.has_coe_to_fun
0.000016    18335 measure_theory.simple_func.finite_range'
0.000017    18336 measure_theory.simple_func.finite_range
0.000017    18337 measure_theory.simple_func.range
0.000017    18338 measure_theory.simple_func.lintegral
0.000016    18339 measure_theory.lintegral
0.000017    18340 measure_theory.snorm'
0.000017    18341 measure_theory.snorm
0.000017    18342 measure_theory.snorm.equations._eqn_1
0.000016    18343 filter.is_cobounded
0.000017    18344 filter.is_cobounded_under
0.000017    18345 filter.is_bounded
0.000017    18346 filter.is_bounded_under
0.000017    18347 cInf_le_cInf
0.000017    18348 filter.Limsup_le_Limsup
0.000017    18349 filter.eventually_le.trans
0.000017    18350 filter.limsup_le_limsup
0.000017    18351 filter.is_cobounded_le_of_bot
0.000017    18352 filter.is_bounded_le_of_top
0.000017    18353 ess_sup_mono_ae
0.000016    18354 measure_theory.snorm'.equations._eqn_1
0.000017    18355 nnreal.rpow_eq_pow
0.000017    18356 complex.cpow_zero
0.000017    18357 real.rpow_zero
0.000017    18358 nnreal.rpow_zero
0.000016    18359 ennreal.rpow_zero
0.000017    18360 ennreal.top_rpow_def
0.000017    18361 ennreal.top_rpow_of_pos
0.000016    18362 real.log_zero
0.000017    18363 complex.arg_zero
0.000017    18364 complex.log_zero
0.000017    18365 complex.zero_cpow
0.000017    18366 real.zero_rpow
0.000016    18367 nnreal.zero_rpow
0.000017    18368 ennreal.zero_rpow_of_pos
0.000016    18369 ennreal.coe_rpow_of_ne_zero
0.000017    18370 ennreal.coe_rpow_of_nonneg
0.000017    18371 real.rpow_def_of_pos
0.000017    18372 real.rpow_pos_of_pos
0.000016    18373 real.exp_lt_exp
0.000017    18374 real.log_of_ne_zero
0.000017    18375 real.coe_exp_order_iso_apply
0.000017    18376 real.exp_log_eq_abs
0.000016    18377 real.exp_log
0.000017    18378 real.log_lt_log
0.000017    18379 real.rpow_lt_rpow
0.000017    18380 real.rpow_le_rpow
0.000017    18381 nnreal.rpow_le_rpow
0.000017    18382 ennreal.rpow_le_rpow
0.000017    18383 measure_theory.outer_measure.exists_measurable_superset_of_trim_eq_zero
0.000016    18384 measure_theory.exists_measurable_superset_of_null
0.000017    18385 set.ite
0.000017    18386 set.ite.equations._eqn_1
0.000015    18387 set.piecewise_preimage
0.000014    18388 measurable_set.ite
0.000016    18389 measurable.piecewise
0.000017    18390 measure_theory.simple_func.measurable_set_fiber'
0.000017    18391 measure_theory.simple_func.measurable_set_fiber
0.000017    18392 measure_theory.simple_func.measurable_set_cut
0.000017    18393 measure_theory.simple_func.measurable_set_preimage
0.000017    18394 measure_theory.simple_func.measurable
0.000016    18395 measure_theory.simple_func.piecewise._proof_1
0.000017    18396 set.range_ite_subset
0.000017    18397 measure_theory.simple_func.piecewise._proof_2
0.000017    18398 measure_theory.simple_func.piecewise
0.000016    18399 measure_theory.simple_func.const._proof_1
0.000017    18400 set.finite_range_const
0.000017    18401 measure_theory.simple_func.const
0.000017    18402 measure_theory.simple_func.has_zero
0.000016    18403 measure_theory.simple_func.restrict
0.000017    18404 measure_theory.simple_func.restrict.equations._eqn_1
0.000017    18405 measure_theory.simple_func.coe_restrict
0.000017    18406 measure_theory.simple_func.restrict_apply
0.000017    18407 measure_theory.simple_func.lintegral.equations._eqn_1
0.000017    18408 finset.sum_bij_ne_zero
0.000017    18409 measure_theory.simple_func.mem_range
0.000017    18410 measure_theory.simple_func.forall_range_iff
0.000016    18411 set.preimage_singleton_nonempty
0.000017    18412 measure_theory.nonempty_of_measure_ne_zero
0.000017    18413 measure_theory.simple_func.lintegral_eq_of_subset
0.000017    18414 measure_theory.simple_func.mem_range_of_measure_ne_zero
0.000017    18415 measure_theory.simple_func.lintegral_eq_of_measure_preimage
0.000017    18416 set.union_diff_self
0.000016    18417 measure_theory.measure_union_le
0.000017    18418 measure_theory.ae_iff
0.000017    18419 measure_theory.ae_le_set
0.323640    18420 measure_theory.measure_mono_ae
0.000075    18421 filter.eventually_le.measure_le
0.000024    18422 filter.eventually_eq.le
0.000015    18423 measure_theory.measure_congr
0.000014    18424 filter.eventually_eq_set
0.000014    18425 filter.eventually.set_eq
0.000014    18426 measure_theory.simple_func.lintegral_congr
0.000014    18427 measure_theory.mem_ae_iff
0.000015    18428 measure_theory.compl_mem_ae_iff
0.000017    18429 measure_theory.measure_zero_iff_ae_nmem
0.000018    18430 measure_theory.lintegral_mono_ae
0.000017    18431 measure_theory.snorm'_mono_ae
0.000016    18432 measure_theory.snorm_mono_ae
0.000016    18433 measure_theory.snorm_congr_norm_ae
0.000014    18434 measure_theory.snorm_congr_ae
0.000018    18435 quotient.mk_out'
0.000019    18436 measure_theory.ae_eq_fun.coe_fn_mk
0.000015    18437 measure_theory.ae_eq_fun.coe_fn_const
0.000014    18438 measure_theory.ae_eq_fun.coe_fn_zero
0.000017    18439 measure_theory.snorm'_exponent_zero
0.000018    18440 measure_theory.snorm_exponent_zero
0.000017    18441 ennreal.top_to_real
0.000016    18442 measure_theory.snorm_exponent_top
0.000015    18443 measure_theory.snorm_ess_sup.equations._eqn_1
0.000014    18444 nnnorm_zero
0.000018    18445 filter.limsup_eq
0.000019    18446 filter.limsup_const_bot
0.000015    18447 ess_sup_const_bot
0.000016    18448 measure_theory.snorm_ess_sup_zero
0.000015    18449 measure_theory.snorm_eq_snorm'
0.000014    18450 finset.coe_injective
0.000014    18451 measure_theory.simple_func.coe_range
0.000018    18452 measure_theory.simple_func.coe_const
0.000015    18453 eq_iff_eq_cancel_left
0.000017    18454 set.singleton_eq_singleton_iff
0.000017    18455 measure_theory.simple_func.range_const
0.000017    18456 set.preimage_const_of_mem
0.000016    18457 set.eq_empty_of_not_nonempty
0.000017    18458 measure_theory.measure.eq_zero_of_not_nonempty
0.000017    18459 measure_theory.measure.coe_zero
0.000018    18460 measure_theory.simple_func.const_lintegral
0.000017    18461 bsupr_le
0.000016    18462 measure_theory.simple_func.has_le
0.000017    18463 measure_theory.measure.partial_order._proof_1
0.000017    18464 measure_theory.measure.partial_order._proof_2
0.000017    18465 measure_theory.measure.partial_order._proof_3
0.000014    18466 measure_theory.measure.partial_order._proof_4
0.000015    18467 measure_theory.measure.partial_order
0.000016    18468 measure_theory.simple_func.bind._proof_1
0.000017    18469 measure_theory.simple_func.bind._proof_2
0.000017    18470 measure_theory.simple_func.bind
0.000017    18471 measure_theory.simple_func.map
0.000016    18472 measure_theory.simple_func.seq
0.000017    18473 measure_theory.simple_func.has_sup
0.000017    18474 measure_theory.simple_func.pair
0.000016    18475 measure_theory.simple_func.coe_map
0.000017    18476 measure_theory.simple_func.range_map
0.000017    18477 exists_eq_right_right'
0.000017    18478 finset.bUnion_filter_eq_of_maps_to
0.000017    18479 finset.sum_fiberwise_of_maps_to
0.000017    18480 finset.sum_image'
0.000017    18481 set.preimage_inter_range
0.000017    18482 measure_theory.simple_func.map_preimage
0.000017    18483 measure_theory.simple_func.map_preimage_singleton
0.000016    18484 set.pairwise_on_disjoint_fiber
0.000017    18485 set.preimage_bUnion
0.000017    18486 set.bUnion_preimage_singleton
0.000017    18487 finset.set_bUnion_preimage_singleton
0.000017    18488 measure_theory.sum_measure_preimage_singleton
0.000016    18489 measure_theory.simple_func.sum_measure_preimage_singleton
0.000017    18490 measure_theory.simple_func.map_lintegral
0.000017    18491 measure_theory.simple_func.sup_eq_map₂
0.000017    18492 measure_theory.simple_func.le_sup_lintegral
0.000016    18493 measure_theory.simple_func.preorder._proof_1
0.000017    18494 measure_theory.simple_func.preorder._proof_2
0.000017    18495 measure_theory.simple_func.preorder._proof_3
0.000017    18496 measure_theory.simple_func.preorder
0.000017    18497 measure_theory.simple_func.partial_order._proof_1
0.000016    18498 measure_theory.simple_func.partial_order._proof_2
0.000017    18499 measure_theory.simple_func.partial_order._proof_3
0.000017    18500 measure_theory.simple_func.cases_on
0.000016    18501 measure_theory.simple_func.coe_injective
0.000017    18502 measure_theory.simple_func.ext
0.000017    18503 measure_theory.simple_func.partial_order._proof_4
0.000017    18504 measure_theory.simple_func.partial_order
0.000017    18505 measure_theory.simple_func.semilattice_sup._proof_1
0.000016    18506 measure_theory.simple_func.semilattice_sup._proof_2
0.000017    18507 measure_theory.simple_func.semilattice_sup._proof_3
0.000017    18508 measure_theory.simple_func.semilattice_sup._proof_4
0.000017    18509 measure_theory.simple_func.semilattice_sup._proof_5
0.000017    18510 measure_theory.simple_func.semilattice_sup._proof_6
2.380625    18511 measure_theory.simple_func.semilattice_sup._proof_7
0.000077    18512 measure_theory.simple_func.semilattice_sup
0.000077    18513 measure_theory.simple_func.lintegral_mono
0.000016    18514 measure_theory.simple_func.lintegral_eq_lintegral
0.000014    18515 measure_theory.lintegral_const
0.000014    18516 measure_theory.snorm'_zero
0.000017    18517 nnreal.coe_pos
0.000017    18518 not_lt_zero'
0.000017    18519 with_top.zero_lt_top
0.000015    18520 ennreal.to_nnreal_pos_iff
0.000014    18521 ennreal.to_real_pos_iff
0.000018    18522 measure_theory.snorm_zero
0.000015    18523 measure_theory.Lp._proof_3
0.000018    18524 measure_theory.ae_eq_fun.comp₂_eq_pair
0.000017    18525 measure_theory.ae_eq_fun.pair_mk_mk
0.000015    18526 measure_theory.ae_eq_fun.pair_eq_mk
0.000014    18527 measure_theory.ae_eq_fun.comp₂_eq_mk
0.000017    18528 measure_theory.ae_eq_fun.coe_fn_comp₂
0.000015    18529 measure_theory.ae_eq_fun.coe_fn_add
0.000017    18530 measure_theory.mem_ℒp
0.000017    18531 nnnorm_add_le
0.000015    18532 countable_Inter_filter
0.000014    18533 set.set_of_forall
0.000017    18534 set.sInter_range
0.000015    18535 countable_Inter_filter.countable_sInter_mem_sets'
0.000018    18536 countable_sInter_mem_sets
0.000017    18537 countable_Inter_mem_sets
0.000015    18538 eventually_countable_forall
0.000014    18539 filter.Liminf
0.000016    18540 filter.liminf
0.000015    18541 filter.eventually_lt_of_lt_liminf
0.000015    18542 order_dual.conditionally_complete_lattice._proof_1
0.000014    18543 order_dual.conditionally_complete_lattice._proof_2
0.000016    18544 order_dual.conditionally_complete_lattice._proof_3
0.000017    18545 order_dual.conditionally_complete_lattice._proof_4
0.000015    18546 order_dual.conditionally_complete_lattice._proof_5
0.000014    18547 order_dual.conditionally_complete_lattice._proof_6
0.000018    18548 order_dual.conditionally_complete_lattice._proof_7
0.000015    18549 order_dual.conditionally_complete_lattice._proof_8
0.000016    18550 order_dual.conditionally_complete_lattice._proof_9
0.000018    18551 order_dual.conditionally_complete_lattice._proof_10
0.000017    18552 order_dual.conditionally_complete_lattice
0.000017    18553 order_dual.conditionally_complete_linear_order._proof_1
0.000018    18554 order_dual.conditionally_complete_linear_order._proof_2
0.000017    18555 order_dual.conditionally_complete_linear_order._proof_3
0.000017    18556 order_dual.conditionally_complete_linear_order._proof_4
0.000017    18557 order_dual.conditionally_complete_linear_order._proof_5
0.000017    18558 order_dual.conditionally_complete_linear_order._proof_6
0.000016    18559 order_dual.conditionally_complete_linear_order._proof_7
0.000017    18560 order_dual.conditionally_complete_linear_order._proof_8
0.000017    18561 order_dual.conditionally_complete_linear_order._proof_9
0.000017    18562 order_dual.conditionally_complete_linear_order._proof_10
0.000017    18563 order_dual.conditionally_complete_linear_order._proof_11
0.000017    18564 order_dual.conditionally_complete_linear_order._proof_12
0.000017    18565 order_dual.conditionally_complete_linear_order._proof_13
0.000017    18566 order_dual.conditionally_complete_linear_order._proof_14
0.000017    18567 order_dual.conditionally_complete_linear_order._proof_15
0.000017    18568 order_dual.conditionally_complete_linear_order
0.000017    18569 filter.eventually_lt_of_limsup_lt
0.000017    18570 ennreal.eventually_le_limsup
0.000017    18571 ennreal.limsup_add_le
0.000017    18572 measure_theory.outer_measure.Union_null
0.000017    18573 measure_theory.measure_Union_null
0.000017    18574 measure_theory.measure.ae.countable_Inter_filter
0.000017    18575 ennreal.ess_sup_add_le
0.000017    18576 measure_theory.snorm_ess_sup_add_le
0.000017    18577 measure_theory.lintegral_mono'
0.000017    18578 measure_theory.lintegral_mono
0.000017    18579 ennreal.measurable_space
0.000017    18580 one_div_one
0.000016    18581 real.sin_arcsin
0.000017    18582 abs_div
0.000017    18583 complex.abs_pos
0.000017    18584 complex.abs_im_div_abs_le_one
0.000017    18585 set.proj_Icc_coe
0.000017    18586 set.Icc_extend_coe
0.000016    18587 set.Icc_extend.equations._eqn_1
0.000017    18588 real.arcsin_proj_Icc
0.000018    18589 set.proj_Icc_of_le_left
0.000016    18590 real.arcsin_neg_one
0.000017    18591 real.arcsin_of_le_neg_one
0.000017    18592 set.proj_Icc_of_right_le
0.000017    18593 real.arcsin_one
0.000017    18594 real.arcsin_of_one_le
0.000017    18595 real.arcsin_le_pi_div_two
0.000017    18596 real.neg_pi_div_two_le_arcsin
0.000017    18597 real.arcsin_neg
0.000017    18598 complex.sin_arg
0.000017    18599 real.cos_arcsin_nonneg
0.000017    18600 eq_sub_iff_add_eq'
0.000017    18601 real.cos_arcsin
0.000017    18602 div_pow
0.000017    18603 _private.1468964069.cos_arg_of_re_nonneg
0.000016    18604 complex.arg_eq_arg_neg_add_pi_of_im_nonneg_of_re_neg
0.000017    18605 real.cos_add_pi
0.000017    18606 neg_ne_zero
0.397184    18607 complex.arg_eq_arg_neg_sub_pi_of_im_neg_of_re_neg
0.000077    18608 complex.cos_arg
0.000024    18609 complex.of_real_ne_zero
0.000015    18610 complex.exp_log
0.000014    18611 complex.cpow_one
0.000014    18612 real.rpow_one
0.000015    18613 nnreal.rpow_one
0.000014    18614 ennreal.rpow_one
0.000014    18615 measure_theory.lintegral_congr_ae
0.000014    18616 filter.eventually_eq.comp₂
0.000015    18617 filter.eventually_eq.add
0.000017    18618 measure_theory.simple_func.order_bot._proof_1
0.000017    18619 measure_theory.simple_func.order_bot._proof_2
0.000015    18620 measure_theory.simple_func.order_bot._proof_3
0.000014    18621 measure_theory.simple_func.order_bot._proof_4
0.000014    18622 measure_theory.simple_func.order_bot._proof_5
0.000014    18623 measure_theory.simple_func.order_bot
0.000018    18624 measure_theory.simple_func.semilattice_sup_bot._proof_1
0.000017    18625 measure_theory.simple_func.semilattice_sup_bot._proof_2
0.000015    18626 measure_theory.simple_func.semilattice_sup_bot._proof_3
0.000014    18627 measure_theory.simple_func.semilattice_sup_bot._proof_4
0.000017    18628 measure_theory.simple_func.semilattice_sup_bot._proof_5
0.000019    18629 measure_theory.simple_func.semilattice_sup_bot._proof_6
0.000015    18630 measure_theory.simple_func.semilattice_sup_bot._proof_7
0.000015    18631 measure_theory.simple_func.semilattice_sup_bot._proof_8
0.000017    18632 measure_theory.simple_func.semilattice_sup_bot
0.000017    18633 measure_theory.simple_func.approx
0.000015    18634 equiv.int_equiv_nat_sum_nat._proof_1
0.000014    18635 equiv.int_equiv_nat_sum_nat._proof_2
0.000016    18636 equiv.int_equiv_nat_sum_nat
0.000018    18637 equiv.bool_prod_equiv_sum
0.000017    18638 equiv.bool_prod_nat_equiv_nat._match_1
0.000017    18639 equiv.bool_prod_nat_equiv_nat._match_1.equations._eqn_1
0.000018    18640 equiv.bool_prod_nat_equiv_nat._match_2
0.000017    18641 equiv.bool_prod_nat_equiv_nat._proof_1
0.000016    18642 equiv.bool_prod_nat_equiv_nat._proof_2
0.000017    18643 equiv.bool_prod_nat_equiv_nat
0.000017    18644 equiv.nat_sum_nat_equiv_nat
0.000017    18645 equiv.int_equiv_nat
0.000017    18646 encodable.int
0.000017    18647 rat.encodable._match_1
0.000016    18648 rat.encodable._match_2
0.000017    18649 rat.encodable._match_3
0.000017    18650 rat.encodable._proof_1
0.000017    18651 rat.encodable._match_4
0.000017    18652 rat.encodable._proof_2
0.000017    18653 rat.encodable
0.000017    18654 measure_theory.simple_func.ennreal_rat_embed
0.000017    18655 measure_theory.simple_func.eapprox
0.000017    18656 measure_theory.simple_func.eapprox.equations._eqn_1
0.000017    18657 measure_theory.simple_func.sup_apply
0.000017    18658 measure_theory.simple_func.finset_sup_apply
0.000017    18659 is_closed.measurable_set
0.000016    18660 measurable_set_Ici
0.000017    18661 measure_theory.simple_func.approx_apply
0.000017    18662 measure_theory.simple_func.supr_approx_apply
0.000017    18663 ennreal.borel_space
0.000017    18664 measure_theory.simple_func.ennreal_rat_embed.equations._eqn_1
0.000017    18665 measure_theory.simple_func.ennreal_rat_embed_encode
0.000017    18666 measure_theory.simple_func.supr_eapprox_apply
0.000017    18667 ennreal.add_supr
0.000017    18668 supr_eq_bot
0.000017    18669 ennreal.supr_eq_zero
0.000017    18670 ennreal.supr_add_supr
0.000017    18671 ennreal.supr_add_supr_of_monotone
0.000017    18672 measure_theory.simple_func.monotone_approx
0.000017    18673 measure_theory.simple_func.monotone_eapprox
0.000017    18674 ennreal.coe_to_nnreal_le_self
0.000016    18675 lt_Sup_iff
0.000017    18676 Sup_eq_top
0.000038    18677 supr_eq_top
0.000019    18678 ennreal.div_lt_iff
0.000015    18679 with_top.can_lift._proof_1
0.000018    18680 with_top.can_lift
0.000017    18681 with_top.mul_lt_top
0.000017    18682 ennreal.mul_lt_top
0.000017    18683 ennreal.mul_ne_top
0.000017    18684 ennreal.exists_nat_pos_mul_gt
0.000017    18685 ennreal.exists_nat_mul_gt
0.000016    18686 set.indicator_comp_of_zero
0.000017    18687 measure_theory.simple_func.restrict_of_not_measurable
0.000017    18688 measure_theory.simple_func.coe_zero
0.000017    18689 pi.comp_zero
0.000017    18690 pi.const_zero
0.000018    18691 measure_theory.simple_func.map_restrict_of_zero
0.000016    18692 measure_theory.simple_func.map_coe_ennreal_restrict
0.000017    18693 measure_theory.simple_func.map_const
0.000017    18694 measure_theory.simple_func.mem_range_self
0.000017    18695 set.indicator_preimage
0.000017    18696 pi.zero_def
0.000017    18697 set.preimage_const_of_not_mem
0.000017    18698 bot_sdiff
0.000015    18699 set.empty_diff
0.000016    18700 set.ite_empty_right
0.000017    18701 set.indicator_preimage_of_not_mem
0.000017    18702 measure_theory.simple_func.restrict_preimage
0.000017    18703 measure_theory.simple_func.restrict_preimage_singleton
0.000016    18704 measure_theory.simple_func.restrict_lintegral
0.774963    18705 measure_theory.simple_func.lintegral_restrict
0.000076    18706 measure_theory.simple_func.restrict_lintegral_eq_lintegral_restrict
0.000024    18707 measure_theory.simple_func.const_lintegral_restrict
0.000015    18708 measure_theory.simple_func.restrict_const_lintegral
0.000014    18709 lt_supr_iff
0.000014    18710 add_monoid_hom.map_indicator
0.000015    18711 ennreal.coe_indicator
0.000015    18712 set.indicator_apply_le'
0.000014    18713 set.indicator_le'
0.000014    18714 set.indicator_le
0.000014    18715 measure_theory.lintegral_eq_nnreal
0.000017    18716 closure_Iio'
0.000017    18717 nhds_within_Iio_ne_bot'
0.000017    18718 nhds_within_Iio_self_ne_bot'
0.000015    18719 ennreal.tendsto.mul_const
0.000014    18720 ennreal.continuous_at_mul_const
0.000014    18721 filter.eventually_inf_principal
0.000014    18722 eventually_nhds_within_iff
0.000016    18723 ennreal.le_of_forall_lt_one_mul_le
0.000017    18724 measure_theory.simple_func.has_mul
0.000018    18725 measure_theory.simple_func.const_mul_lintegral
0.000014    18726 ennreal.mul_Sup
0.000014    18727 ennreal.mul_supr
0.000017    18728 ennreal.supr_zero_eq_zero
0.000015    18729 ennreal.finset_sum_supr_nat
0.000018    18730 measurable_set_le'
0.000016    18731 measurable_set_le
0.000015    18732 set.Union_eq_range_sigma
0.000015    18733 set.countable_Union
0.000018    18734 set.countable.bUnion
0.000015    18735 set.countable.union
0.000016    18736 set.countable_singleton
0.000028    18737 set.countable.insert
0.000017    18738 ennreal.topological_space.second_countable_topology
0.000014    18739 measure_theory.simple_func.map_apply
0.000017    18740 set.indicator_apply_le
0.000019    18741 pi.has_Sup
0.000019    18742 pi.has_Inf
0.000017    18743 Inf_apply
0.000017    18744 set.image_eq_range
0.000017    18745 infi_apply
0.000017    18746 supr_apply
0.000017    18747 monotone.le_map_supr
0.000018    18748 pi.has_top
0.000016    18749 pi.semilattice_sup_top._proof_1
0.000017    18750 pi.semilattice_sup_top._proof_2
0.000017    18751 pi.semilattice_sup_top._proof_3
0.000016    18752 pi.semilattice_sup_top._proof_4
0.000017    18753 pi.semilattice_sup_top._proof_5
0.000017    18754 pi.semilattice_sup_top._proof_6
0.000016    18755 pi.semilattice_sup_top._proof_7
0.000017    18756 pi.semilattice_sup_top._proof_8
0.000017    18757 pi.semilattice_sup_top._proof_9
0.000017    18758 pi.has_sup
0.000017    18759 pi.semilattice_sup_top._proof_10
0.000017    18760 pi.semilattice_sup_top._proof_11
0.000017    18761 pi.semilattice_sup_top._proof_12
0.000017    18762 pi.semilattice_sup_top
0.000016    18763 pi.bounded_lattice._proof_1
0.000017    18764 pi.bounded_lattice._proof_2
0.000017    18765 pi.bounded_lattice._proof_3
0.000017    18766 pi.bounded_lattice._proof_4
0.000017    18767 pi.bounded_lattice._proof_5
0.000017    18768 pi.bounded_lattice._proof_6
0.000017    18769 pi.bounded_lattice._proof_7
0.000017    18770 pi.bounded_lattice._proof_8
0.000017    18771 pi.bounded_lattice._proof_9
0.000017    18772 pi.bounded_lattice._proof_10
0.000017    18773 pi.bounded_lattice._proof_11
0.000017    18774 pi.bounded_lattice._proof_12
0.000017    18775 pi.bounded_lattice
0.000017    18776 pi.complete_lattice._proof_1
0.000017    18777 pi.complete_lattice._proof_2
0.000017    18778 pi.complete_lattice._proof_3
0.000017    18779 pi.complete_lattice._proof_4
0.000017    18780 pi.complete_lattice._proof_5
0.000017    18781 pi.complete_lattice._proof_6
0.000017    18782 pi.complete_lattice._proof_7
0.000016    18783 pi.complete_lattice._proof_8
0.000017    18784 pi.complete_lattice._proof_9
0.000017    18785 pi.complete_lattice._proof_10
0.000017    18786 pi.complete_lattice._proof_11
0.000016    18787 pi.complete_lattice._proof_12
0.000015    18788 pi.complete_lattice._proof_13
0.000015    18789 pi.complete_lattice._proof_14
0.000014    18790 pi.complete_lattice._proof_15
0.000016    18791 pi.complete_lattice._proof_16
0.000017    18792 pi.complete_lattice
0.000017    18793 measure_theory.monotone_lintegral
0.000017    18794 measure_theory.supr_lintegral_le
0.000016    18795 measure_theory.lintegral_supr
0.000017    18796 measure_theory.simple_func.has_add
0.000017    18797 measure_theory.simple_func.add_eq_map₂
0.000017    18798 measure_theory.simple_func.add_lintegral
0.000017    18799 measure_theory.lintegral_eq_supr_eapprox_lintegral
0.000017    18800 measure_theory.lintegral_add
0.000017    18801 measure_theory.lintegral_add'
0.000017    18802 real.is_conjugate_exponent
0.000016    18803 real.rpow_add
0.000017    18804 nnreal.rpow_add
0.000017    18805 ennreal.rpow_add
0.000017    18806 ennreal.top_rpow_of_neg
0.000016    18807 ennreal.zero_rpow_of_neg
0.000017    18808 nnreal.coe_rpow
0.000017    18809 real.rpow_eq_zero_iff_of_nonneg
0.000016    18810 nnreal.rpow_eq_zero_iff
0.000017    18811 ennreal.rpow_eq_zero_iff
0.000017    18812 ennreal.rpow_eq_top_iff
0.000017    18813 ennreal.rpow_eq_top_of_nonneg
0.000017    18814 real.is_conjugate_exponent.one_lt
0.000017    18815 real.is_conjugate_exponent.pos
0.194491    18816 real.is_conjugate_exponent.nonneg
0.000076    18817 ennreal.mul_le_mul_right
0.000024    18818 real.is_conjugate_exponent.inv_add_inv_conj
0.000015    18819 tactic.ring.unfold_div
0.000014    18820 real.is_conjugate_exponent.sub_one_pos
0.000014    18821 has_measurable_mul₂
0.000015    18822 has_measurable_mul₂.measurable_mul
0.000014    18823 ae_measurable.mul
0.000025    18824 subtype.measurable_space
0.000016    18825 real.measurable_space
0.000015    18826 nnreal.measurable_space
0.000014    18827 measurable_equiv
0.000014    18828 sum.measurable_space
0.000017    18829 punit.measurable_space
0.000018    18830 measurable_equiv.to_equiv
0.000015    18831 measurable_equiv.measurable_to_fun
0.000017    18832 measurable_equiv.trans._proof_1
0.000017    18833 measurable_equiv.measurable_inv_fun
0.000018    18834 measurable_equiv.trans._proof_2
0.000018    18835 measurable_equiv.trans
0.000017    18836 measurable.fst
0.000018    18837 measurable_id
0.000017    18838 measurable.snd
0.000018    18839 measurable_equiv.prod_congr._proof_1
0.000017    18840 measurable_equiv.prod_congr._proof_2
0.000015    18841 measurable_equiv.prod_congr
0.000017    18842 ennreal.ennreal_equiv_sum._proof_1
0.000017    18843 ennreal.ennreal_equiv_sum._proof_2
0.000018    18844 measurable_singleton_class
0.000017    18845 set.inter_distrib_left
0.000018    18846 measurable_set.subtype_image
0.000017    18847 measurable_of_measurable_union_cover
0.000018    18848 measurable_singleton_class.measurable_set_singleton
0.000018    18849 measurable_set_eq
0.000017    18850 subsingleton.eq_univ_of_nonempty
0.000018    18851 subsingleton.set_cases
0.000017    18852 subsingleton.measurable_set
0.000018    18853 subsingleton.measurable
0.000017    18854 measurable_of_measurable_on_compl_singleton
0.000018    18855 opens_measurable_space.to_measurable_singleton_class
0.000017    18856 measurable_equiv.has_coe_to_fun
0.000018    18857 measurable_equiv.symm
0.000017    18858 homeomorph.to_measurable_equiv._proof_1
0.000018    18859 homeomorph.to_measurable_equiv._proof_2
0.000018    18860 homeomorph.to_measurable_equiv
0.000017    18861 subtype.measurable_space.equations._eqn_1
0.000017    18862 measurable_space.comap_generate_from
0.000018    18863 borel_comap
0.000018    18864 subtype.borel_space
0.000017    18865 measurable_equiv.ennreal_equiv_nnreal._proof_1
0.000018    18866 real.borel_space
0.000017    18867 nnreal.borel_space
0.000018    18868 ennreal.ne_top_homeomorph_nnreal._proof_1
0.000017    18869 ennreal.ne_top_homeomorph_nnreal._proof_2
0.000018    18870 ennreal.nhds_coe
0.000018    18871 ennreal.tendsto_to_nnreal
0.000017    18872 ennreal.continuous_on_to_nnreal
0.000018    18873 ennreal.ne_top_homeomorph_nnreal._proof_3
0.000017    18874 inducing.continuous
0.000015    18875 embedding.continuous
0.000014    18876 ennreal.continuous_coe
0.000014    18877 ennreal.ne_top_homeomorph_nnreal._proof_4
0.000014    18878 ennreal.ne_top_homeomorph_nnreal
0.000016    18879 measurable_equiv.ennreal_equiv_nnreal
0.000017    18880 measurable_equiv.symm_to_equiv
0.000015    18881 measurable_equiv.trans_to_equiv
0.000015    18882 measurable_equiv.measurable
0.000017    18883 measurable_equiv.measurable_coe_iff
0.000015    18884 ennreal.measurable_of_measurable_nnreal
0.000017    18885 measurable_inl
0.000017    18886 ennreal.ennreal_equiv_sum._proof_3
0.000015    18887 measurable_sum
0.000014    18888 measurable.ennreal_coe
0.000017    18889 ennreal.measurable_coe
0.000015    18890 ennreal.ennreal_equiv_sum._proof_4
0.000016    18891 ennreal.ennreal_equiv_sum
0.000017    18892 measurable_equiv.refl
0.000015    18893 measurable_set.inl_image
0.000014    18894 measurable_set_range_inl
0.000017    18895 measurable_set_inr_image
0.000019    18896 measurable_set_range_inr
0.000017    18897 set.prod_eq
0.000017    18898 measurable.subtype_mk
0.000015    18899 measurable_space.gc_comap_map
0.000014    18900 measurable_space.le_map_comap
0.000017    18901 measurable_subtype_coe
0.000015    18902 measurable.subtype_coe
0.000015    18903 measurable_equiv.set.prod._proof_1
0.000018    18904 measurable_equiv.set.prod._proof_2
0.000016    18905 measurable_equiv.set.prod
0.000015    18906 measurable_equiv.set.range_inl._match_1
0.000014    18907 measurable_equiv.set.range_inl._proof_1
0.000017    18908 measurable_equiv.set.range_inl._proof_2
0.000015    18909 measurable_equiv.set.range_inl._proof_3
0.000017    18910 measurable_equiv.set.range_inl._match_1.equations._eqn_1
0.000015    18911 measurable_equiv.set.range_inl._proof_4
0.000016    18912 measurable_equiv.set.range_inl._proof_5
0.000017    18913 measurable_equiv.set.range_inl
0.000017    18914 measurable_equiv.set.univ._proof_1
0.000017    18915 measurable_equiv.set.univ._proof_2
0.000017    18916 measurable_equiv.set.univ
0.000017    18917 measurable_equiv.set.range_inr._match_1
0.000017    18918 measurable_equiv.set.range_inr._proof_1
0.000017    18919 measurable_equiv.set.range_inr._proof_2
1.900946    18920 measurable_equiv.set.range_inr._proof_3
0.000080    18921 measurable_equiv.set.range_inr._match_1.equations._eqn_2
0.000023    18922 measurable_equiv.set.range_inr._proof_4
0.000015    18923 measurable_inr
0.000014    18924 measurable_equiv.set.range_inr._proof_5
0.000015    18925 measurable_equiv.set.range_inr
0.000015    18926 measurable_equiv.sum_prod_distrib._proof_1
0.000014    18927 measurable_equiv.sum_prod_distrib._proof_2
0.000015    18928 measurable_equiv.sum_prod_distrib
0.000014    18929 ennreal.measurable_of_measurable_nnreal_prod
0.000019    18930 measurable_swap
0.000017    18931 measurable_swap_iff
0.000017    18932 ennreal.measurable_of_measurable_nnreal_nnreal
0.000015    18933 has_continuous_mul.has_measurable_mul₂
0.000014    18934 induced_generate_from_eq
0.000017    18935 topological_space.second_countable_topology_induced
0.000019    18936 topological_space.subtype.second_countable_topology
0.000015    18937 sigma_compact_space
0.000017    18938 topological_space.separable_space
0.000016    18939 topological_space.separable_space.exists_countable_dense
0.000016    18940 topological_space.exists_countable_dense
0.000014    18941 filter.has_basis.restrict
0.000016    18942 nhdset_of_mem_uniformity
0.000019    18943 subset_interior_iff_subset_of_open
0.000015    18944 filter.lift_mono'
0.000017    18945 filter.lift_lift'_assoc
0.000017    18946 uniformity_lift_le_comp
0.000015    18947 comp_le_uniformity3
0.000014    18948 filter.mem_lift'
0.000016    18949 uniformity_eq_uniformity_interior
0.000015    18950 interior_mem_uniformity
0.000017    18951 uniformity_has_basis_open
0.000017    18952 uniformity_has_basis_open_symmetric
0.000017    18953 uniform_space.is_open_ball
0.000017    18954 mem_closure_iff
0.000017    18955 dense_iff_closure_eq
0.000017    18956 dense.closure_eq
0.000015    18957 dense_iff_inter_open
0.000014    18958 dense.inter_open_nonempty
0.000016    18959 uniform_space.mem_ball_self
0.000017    18960 mem_ball_comp
0.000017    18961 ball_subset_of_comp_subset
0.000016    18962 uniform_space.second_countable_of_separable
0.000018    18963 emetric.second_countable_of_separable
0.000017    18964 set.accumulate
0.000017    18965 sigma_compact_space.exists_compact_covering
0.000017    18966 compact_covering
0.000016    18967 emetric.closed_ball
0.000017    18968 set.countable_empty
0.000017    18969 edist_triangle_right
0.000017    18970 emetric.subset_countable_closure_of_almost_dense_set
0.000017    18971 totally_bounded_iff_subset
0.000017    18972 emetric.totally_bounded_iff'
0.000017    18973 is_compact.totally_bounded
0.000017    18974 emetric.mem_closed_ball
0.000017    18975 emetric.ball_subset_closed_ball
0.000017    18976 emetric.subset_countable_closure_of_compact
0.000017    18977 filter.bInter_finset_mem_sets
0.000017    18978 finset.Inter_mem_sets
0.000016    18979 compact_of_finite_subfamily_closed
0.000018    18980 compact_of_finite_subcover
0.000017    18981 set.finite.compact_bUnion
0.000017    18982 compact_accumulate
0.000017    18983 is_compact_compact_covering
0.000017    18984 compact_covering.equations._eqn_1
0.000017    18985 set.mem_accumulate
0.000018    18986 set.subset_accumulate
0.000017    18987 set.Union_accumulate
0.000017    18988 Union_compact_covering
0.000017    18989 emetric.second_countable_of_sigma_compact
0.000017    18990 subsingleton.le
0.000017    18991 exists_nat_ge
0.000017    18992 second_countable_of_proper
0.000017    18993 real.topological_space.second_countable_topology
0.000017    18994 nnreal.topological_space.second_countable_topology
0.000017    18995 nnreal.metric_space
0.000017    18996 ennreal.has_measurable_mul₂
0.000017    18997 has_measurable_pow
0.000017    18998 has_measurable_pow.measurable_pow
0.000017    18999 ae_measurable.pow
0.000017    19000 ae_measurable.pow_const
0.000017    19001 ennreal.coe_rpow_def
0.000017    19002 measurable.ite
0.000017    19003 measurable_set_Iio
0.000017    19004 measurable.pow
0.000027    19005 complex.measurable_space
0.000016    19006 complex.borel_space
0.000015    19007 complex.continuous_re
0.000016    19008 complex.measurable_re
0.000019    19009 measurable_one
0.000017    19010 measurable_zero
0.000017    19011 complex.measurable_exp
0.000017    19012 measurable.cexp
0.000017    19013 measurable.mul
0.000016    19014 complex.isometry_of_real
0.000017    19015 complex.continuous_of_real
0.000017    19016 complex.measurable_of_real
0.000017    19017 measurable_space.comap_mono
0.000017    19018 subtype.opens_measurable_space
0.000017    19019 continuous_generated_from
0.000016    19020 order_iso.to_order_embedding
0.000017    19021 order_iso.lt_iff_lt
0.000017    19022 order_iso.preimage_Ioi
0.000017    19023 order_iso.preimage_Iio
0.000016    19024 order_iso.continuous
0.000017    19025 continuous.norm
0.000017    19026 continuous_subtype_coe
0.000017    19027 real.continuous_on_log
0.000016    19028 real.measurable_log
0.000017    19029 measurable_norm
0.000018    19030 has_measurable_mul
0.000016    19031 has_measurable_mul.measurable_mul_const
0.000017    19032 measurable.mul_const
3.917940    19033 has_continuous_mul.has_measurable_mul
0.000078    19034 complex.im_lm._proof_1
0.000023    19035 complex.im_lm
0.000015    19036 complex.im_lm_coe
0.000014    19037 complex.im_clm._proof_1
0.000014    19038 complex.im_clm
0.000015    19039 complex.continuous_im
0.000014    19040 has_measurable_add
0.000014    19041 has_measurable_add.measurable_add_const
0.000015    19042 measurable.add_const
0.000018    19043 has_continuous_add.has_measurable_add
0.000017    19044 has_measurable_sub
0.000015    19045 has_measurable_sub.measurable_sub_const
0.000014    19046 measurable.sub_const
0.000014    19047 has_continuous_sub.has_measurable_sub
0.000014    19048 continuous_proj_Icc
0.000017    19049 continuous.Icc_extend
0.000017    19050 set.ord_connected_Icc
0.000015    19051 real.continuous_arcsin
0.000014    19052 real.measurable_arcsin
0.000014    19053 has_measurable_div₂
0.000014    19054 has_measurable_div₂.measurable_div
0.000017    19055 measurable.div
0.000017    19056 has_measurable_inv
0.000015    19057 has_measurable_inv.measurable_inv
0.000018    19058 measurable.inv
0.000019    19059 has_measurable_div₂_of_mul_inv
0.000017    19060 has_continuous_inv'
0.000015    19061 measurable_of_continuous_on_compl_singleton
0.000016    19062 has_continuous_inv'.continuous_at_inv'
0.000017    19063 continuous_on_inv'
0.000015    19064 has_continuous_inv'.has_measurable_inv
0.000014    19065 is_open.eventually_mem
0.000018    19066 continuous.tendsto'
0.000015    19067 continuous.div_const
0.000016    19068 normed_field.has_continuous_inv'._proof_1
0.000018    19069 normed_field.has_continuous_inv'
0.000017    19070 complex.measurable_im
0.000016    19071 complex.measurable_arg
0.000017    19072 complex.measurable_log
0.000018    19073 measurable.clog
0.000017    19074 complex.has_measurable_pow._proof_1
0.000017    19075 complex.has_measurable_pow
0.000017    19076 real.has_measurable_pow._proof_1
0.000017    19077 real.has_measurable_pow
0.000017    19078 nnreal.continuous_coe
0.000018    19079 nnreal.measurable_coe
0.000016    19080 measurable.nnreal_coe
0.000017    19081 nnreal.real.has_measurable_pow._proof_1
0.000017    19082 nnreal.real.has_measurable_pow
0.000017    19083 measurable_set_Ioi
0.000017    19084 ennreal.real.has_measurable_pow._proof_1
0.000017    19085 ennreal.real.has_measurable_pow
0.000017    19086 ae_measurable.add
0.000017    19087 measure_theory.lintegral_zero_fun
0.000017    19088 pi.mul_zero_class._proof_1
0.000018    19089 pi.mul_zero_class._proof_2
0.000017    19090 pi.mul_zero_class
0.000017    19091 filter.eventually_eq.mul
0.000017    19092 measure_theory.ae_all_iff
0.000017    19093 ennreal.coe_nat_ne_top
0.000017    19094 measure_theory.mul_meas_ge_le_lintegral
0.000017    19095 measure_theory.lintegral_zero
0.000017    19096 measure_theory.lintegral_eq_zero_iff
0.000017    19097 measure_theory.lintegral_eq_zero_iff'
0.000017    19098 ennreal.ae_eq_zero_of_lintegral_rpow_eq_zero
0.000017    19099 ennreal.lintegral_mul_eq_zero_of_lintegral_rpow_eq_zero
0.000017    19100 pi.comm_semigroup._proof_1
0.000017    19101 pi.comm_semigroup._proof_2
0.000017    19102 pi.comm_semigroup
0.000017    19103 sub_div'
0.000017    19104 real.is_conjugate_exponent.ne_zero
0.000017    19105 div_div_eq_mul_div
0.000017    19106 real.is_conjugate_exponent.conj_eq
0.000017    19107 one_lt_div
0.000017    19108 sub_one_lt
0.000017    19109 real.is_conjugate_exponent.symm
0.000017    19110 ennreal.lintegral_mul_le_Lp_mul_Lq_of_ne_zero_of_eq_top
0.000017    19111 ennreal.fun_mul_inv_snorm
0.000017    19112 measure_theory.lintegral_congr
0.000016    19113 pi.mul_apply
0.000017    19114 ennreal.fun_mul_inv_snorm.equations._eqn_1
0.000017    19115 ennreal.inv_mul_cancel
0.000017    19116 ennreal.fun_eq_fun_mul_inv_snorm_mul_snorm
0.000017    19117 measure_theory.lintegral.equations._eqn_1
0.000017    19118 measure_theory.lintegral_const_mul_le
0.000017    19119 measure_theory.lintegral_const_mul'
0.000017    19120 measure_theory.lintegral_mul_const'
0.000017    19121 ennreal.coe_div
0.000016    19122 complex.of_real_cpow
0.000017    19123 complex.norm_sq_one
0.000017    19124 complex.abs_one
0.000018    19125 real.log_one
0.000042    19126 complex.arg_one
0.000017    19127 complex.log_one
0.000017    19128 complex.abs_exp_of_real
0.000019    19129 complex.abs_cos_add_sin_mul_I
0.000017    19130 div_eq_div_iff
0.000016    19131 complex.arg_eq_arg_iff
0.000017    19132 complex.arg_real_mul
0.000017    19133 real.arcsin_sin'
0.000017    19134 real.arcsin_sin
0.000017    19135 real.sin_add_pi
0.000017    19136 real.sin_neg_of_neg_of_neg_pi_lt
0.000017    19137 real.sin_nonneg_of_nonneg_of_le_pi
0.000017    19138 complex.arg_cos_add_sin_mul_I
0.000017    19139 complex.exp_inj_of_neg_pi_lt_of_le_pi
0.000016    19140 strict_mono.comp_strict_mono_incr_on
0.000017    19141 subtype.strict_mono_coe
0.000015    19142 set.strict_mono_incr_on_proj_Icc
0.000016    19143 strict_mono.strict_mono_incr_on_Icc_extend
0.000017    19144 order_iso.strict_mono
0.000017    19145 real.strict_mono_incr_on_arcsin
6.897275    19146 real.arcsin_le_iff_le_sin
0.000083    19147 set.mem_Icc_of_Ico
0.000022    19148 real.arcsin_le_iff_le_sin'
0.000015    19149 real.le_arcsin_iff_sin_le'
0.000014    19150 neg_lt_zero
0.000014    19151 real.arcsin_nonneg
0.000015    19152 real.arcsin_nonpos
0.000014    19153 real.arcsin_pos
0.000014    19154 complex.neg_pi_lt_arg
0.000014    19155 complex.arg_le_pi
0.000017    19156 complex.log_exp
0.000017    19157 complex.cpow_mul
0.000015    19158 real.rpow_mul
0.000017    19159 fin.sum_univ_succ_above
0.000018    19160 fin.sum_univ_succ
0.000019    19161 fin.sum_univ_zero
0.000015    19162 ring_hom.map_prod
0.000017    19163 nnreal.coe_prod
0.000016    19164 multiset.decidable_dexists_multiset._proof_1
0.000017    19165 multiset.decidable_exists_multiset._proof_1
0.000015    19166 multiset.decidable_exists_multiset
0.000015    19167 multiset.decidable_dexists_multiset._proof_2
0.000016    19168 multiset.decidable_dexists_multiset._match_1
0.000019    19169 multiset.decidable_dexists_multiset._match_2
0.000017    19170 multiset.decidable_dexists_multiset._proof_3
0.000016    19171 multiset.decidable_dexists_multiset
0.000014    19172 finset.decidable_dexists_finset
0.000016    19173 real.exp_sum
0.000017    19174 finset.center_mass
0.000017    19175 finset.center_mass.equations._eqn_1
0.000016    19176 add_monoid_hom.fst._proof_1
0.000016    19177 add_monoid_hom.fst._proof_2
0.000017    19178 add_monoid_hom.fst
0.000017    19179 prod.fst_sum
0.000017    19180 add_monoid_hom.snd._proof_1
0.000017    19181 add_monoid_hom.snd._proof_2
0.000018    19182 add_monoid_hom.snd
0.000017    19183 prod.snd_sum
0.000017    19184 finset.sum_eq_zero_iff_of_nonneg
0.000017    19185 finset.center_mass_insert
0.000017    19186 convex_iff_div
0.000017    19187 convex.center_mass_mem
0.000017    19188 convex_on.convex_epigraph
0.000017    19189 convex_on.map_center_mass_le
0.000017    19190 convex_on.map_sum_le
0.000018    19191 linear_order.convex_on_of_lt
0.000017    19192 div_le_div_iff
0.000017    19193 convex_on_real_of_slope_mono_adjacent
0.000017    19194 is_min_filter
0.000017    19195 is_max_filter
0.000017    19196 is_extr_filter
0.000017    19197 is_local_extr
0.000017    19198 is_local_min
0.000017    19199 is_local_max
0.000017    19200 is_local_extr.elim
0.000018    19201 continuous_linear_map.ext_iff
0.000017    19202 is_local_min_on
0.000017    19203 pos_tangent_cone_at
0.000017    19204 is_local_max_on
0.000017    19205 filter.tendsto_at_top_mono
0.000017    19206 is_local_max_on.has_fderiv_within_at_nonpos
0.000017    19207 linear_map.map_neg
0.000017    19208 continuous_linear_map.map_neg
0.000017    19209 is_local_max_on.has_fderiv_within_at_eq_zero
0.000018    19210 is_max_filter.comp_mono
0.000016    19211 is_max_filter_dual_iff
0.000018    19212 is_min_filter.dual
0.000017    19213 is_min_filter.comp_antimono
0.000017    19214 is_min_filter.neg
0.000017    19215 is_local_min_on.neg
0.000017    19216 has_fderiv_within_at.neg
0.000017    19217 is_local_min_on.has_fderiv_within_at_eq_zero
0.000017    19218 is_min_filter.filter_mono
0.000017    19219 is_min_filter.filter_inf
0.000017    19220 is_local_min.on
0.000018    19221 one_le_two
0.000017    19222 mem_pos_tangent_cone_at_of_segment_subset
0.000018    19223 mem_pos_tangent_cone_at_of_segment_subset'
0.000017    19224 pos_tangent_cone_at_univ
0.000017    19225 is_local_min.has_fderiv_at_eq_zero
0.000017    19226 is_local_min.has_deriv_at_eq_zero
0.000017    19227 is_min_filter.comp_mono
0.000017    19228 is_min_filter_dual_iff
0.000017    19229 is_max_filter.dual
0.000017    19230 is_max_filter.comp_antimono
0.000018    19231 is_max_filter.neg
0.000017    19232 is_local_max.neg
0.000017    19233 has_deriv_at.neg
0.000017    19234 is_local_max.has_deriv_at_eq_zero
0.000017    19235 is_local_extr.has_deriv_at_eq_zero
0.000018    19236 is_extr_on
0.000014    19237 is_local_extr_on
0.000015    19238 is_local_extr_on.elim
0.000016    19239 is_min_filter.is_extr
0.000017    19240 is_local_min_on.is_local_min
0.000017    19241 is_max_filter.is_extr
0.000017    19242 is_max_filter.filter_mono
0.000017    19243 is_local_max_on.is_local_max
0.000017    19244 is_local_extr_on.is_local_extr
0.000017    19245 is_extr_filter.filter_mono
0.000017    19246 is_extr_on.localize
0.000017    19247 is_extr_on.is_local_extr
0.000017    19248 is_open_Ioo
0.000017    19249 Ioo_mem_nhds
0.000017    19250 Icc_mem_nhds
0.000017    19251 is_glb.mem_of_is_closed
0.000017    19252 is_closed.cInf_mem
0.000018    19253 not.imp
0.000017    19254 set.univ_nonempty
0.000017    19255 bdd_above_empty
0.000017    19256 bdd_above.mono
0.000017    19257 bdd_above.union
0.000017    19258 bdd_above_union
0.000015    19259 is_lub.bdd_above
0.000017    19260 bdd_above_singleton
0.000017    19261 bdd_above_insert
0.000017    19262 bdd_above.insert
0.000016    19263 set.finite.bdd_above
0.000018    19264 set.finite.bdd_below
0.000017    19265 is_compact.bdd_below
0.000017    19266 is_compact.Inf_mem
0.000017    19267 is_compact.exists_Inf_image_eq
0.000017    19268 is_compact.is_glb_Inf
0.000017    19269 is_compact.exists_forall_le
0.000018    19270 set.nonempty_Icc
0.000017    19271 is_compact.exists_forall_ge
5.033907    19272 exists_Ioo_extr_on_Icc
0.000077    19273 exists_local_extr_Ioo
0.000024    19274 exists_has_deriv_at_eq_zero
0.000014    19275 has_deriv_at.const_mul
0.000014    19276 exists_ratio_has_deriv_at_eq_ratio_slope
0.000014    19277 pi.one_apply
0.000014    19278 exists_has_deriv_at_eq_slope
0.000014    19279 differentiable_within_at.differentiable_at
0.000014    19280 exists_deriv_eq_slope
0.000014    19281 set.nonempty.image_const
0.000017    19282 units.mul_right._proof_1
0.000017    19283 units.inv_mul_cancel_right
0.000017    19284 units.mul_right._proof_2
0.000015    19285 units.mul_right
0.000016    19286 set.mem_image_iff_of_inverse
0.000019    19287 equiv.image_eq_preimage
0.000015    19288 units.mul_right_symm
0.000017    19289 units.coe_mul_right
0.000017    19290 set.Ici_inter_Iic
0.000015    19291 set.preimage_mul_const_Ici
0.000015    19292 set.preimage_mul_const_Iic
0.000016    19293 set.preimage_mul_const_Icc
0.000020    19294 set.image_mul_right_Icc'
0.000017    19295 set.image_mul_right_Icc
0.000016    19296 set.image_add_left
0.000017    19297 set.preimage_add_const_Ici
0.000017    19298 set.preimage_add_const_Iic
0.000017    19299 set.preimage_add_const_Icc
0.000017    19300 set.image_const_add_Icc
0.000017    19301 segment_eq_Icc
0.000017    19302 segment_symm
0.000017    19303 segment_eq_Icc'
0.000017    19304 segment_eq_interval
0.000017    19305 set.ord_connected_def
0.000016    19306 set.ord_connected_iff
0.000017    19307 set.ord_connected_iff_interval_subset
0.000017    19308 real.convex_iff_ord_connected
0.000017    19309 convex.ord_connected
0.000017    19310 differentiable_on.mono
0.000017    19311 set.Icc_subset_Icc_left
0.000017    19312 convex_on_of_deriv_mono
0.000017    19313 convex.mul_sub_le_image_sub_of_le_deriv
0.000017    19314 convex.mono_of_deriv_nonneg
0.000017    19315 set.has_add
0.000017    19316 set.has_scalar_set
0.000017    19317 set.add_mem_add
0.000018    19318 convex_iff_pointwise_add_subset
0.000017    19319 set.image_smul
0.000017    19320 set.image2_subset
0.000017    19321 set.add_subset_add
0.000016    19322 set.Union_image_left
0.000018    19323 set.Union_add_left_image
0.000017    19324 homeomorph.preimage_symm
0.000016    19325 quotient_map
0.000017    19326 topological_space_eq_iff
0.000018    19327 quotient_map_iff
0.000017    19328 quotient_map.is_open_preimage
0.000016    19329 continuous_coinduced_rng
0.000017    19330 quotient_map.of_quotient_map_compose
0.000018    19331 homeomorph.self_comp_symm
0.000017    19332 coinduced_id
0.000017    19333 quotient_map.id
0.000017    19334 homeomorph.quotient_map
0.000017    19335 homeomorph.is_open_preimage
0.000017    19336 homeomorph.is_open_image
0.000015    19337 homeomorph.is_open_map
0.000014    19338 is_open_map_add_left
0.000015    19339 is_open.add_left
0.000016    19340 units.smul_inv_smul
0.000017    19341 units.smul_perm
0.000017    19342 units.smul_perm_hom._proof_1
0.000017    19343 units.smul_perm_hom._proof_2
0.000017    19344 units.smul_perm_hom
0.000017    19345 continuous.const_smul
0.000017    19346 homeomorph.smul_of_unit._proof_1
0.000017    19347 homeomorph.smul_of_unit._proof_2
0.000017    19348 homeomorph.smul_of_unit
0.000018    19349 is_unit.is_open_map_smul
0.000016    19350 is_open_map_smul'
0.000017    19351 set.Union_image_right
0.000017    19352 set.Union_add_right_image
0.000017    19353 is_open_map_add_right
0.000017    19354 is_open.add_right
0.000017    19355 convex.interior
0.000017    19356 interior_interior
0.000017    19357 convex_on_of_deriv2_nonneg
0.000018    19358 function.iterate_one
0.000017    19359 convex_on_open_of_deriv2_nonneg
0.000015    19360 differentiable.differentiable_on
0.000016    19361 convex_on_univ_of_deriv2_nonneg
0.000017    19362 real.deriv_exp
0.000017    19363 has_deriv_at_filter.comp_has_fderiv_at_filter
0.000017    19364 has_deriv_at_filter.mono
0.000016    19365 has_deriv_at.comp_has_fderiv_at
0.000017    19366 has_fderiv_at.exp
0.000017    19367 differentiable_at.exp
0.000017    19368 differentiable.exp
0.000018    19369 has_fderiv_at_id
0.000017    19370 differentiable_at_id
0.000017    19371 differentiable_id'
0.000017    19372 function.iterate_succ_apply
0.000015    19373 real.iter_deriv_exp
0.000017    19374 convex_on_exp
0.000017    19375 real.geom_mean_le_arith_mean_weighted
0.000017    19376 nnreal.geom_mean_le_arith_mean_weighted
0.000017    19377 nnreal.geom_mean_le_arith_mean2_weighted
0.000016    19378 real.geom_mean_le_arith_mean2_weighted
0.000017    19379 real.is_conjugate_exponent.one_div_pos
0.000017    19380 real.is_conjugate_exponent.one_div_nonneg
0.000018    19381 real.young_inequality_of_nonneg
0.000017    19382 nnreal.young_inequality
0.000017    19383 real.is_conjugate_exponent.one_lt_nnreal
0.000017    19384 nnreal.coe_inv
0.000017    19385 nnreal.of_real_inv
0.000017    19386 nnreal.of_real_div'
0.000017    19387 real.is_conjugate_exponent.inv_add_inv_conj_nnreal
0.000017    19388 nnreal.young_inequality_real
0.000017    19389 ennreal.young_inequality
0.000017    19390 ae_measurable.mul_const
0.000017    19391 has_measurable_mul₂.to_has_measurable_mul
4.437508    19392 measure_theory.lintegral_const_mul
0.000076    19393 measure_theory.lintegral_const_mul''
0.000024    19394 measure_theory.lintegral_mul_const''
0.000015    19395 ennreal.of_real_one
0.000014    19396 ennreal.of_real_mul
0.000014    19397 ennreal.of_real_inv_of_pos
0.000015    19398 ennreal.of_real_div_of_pos
0.000014    19399 real.is_conjugate_exponent.inv_add_inv_conj_ennreal
0.000014    19400 ennreal.lintegral_mul_le_one_of_lintegral_rpow_eq_one
0.000014    19401 real.log_mul
0.000016    19402 real.mul_rpow
0.000017    19403 nnreal.mul_rpow
0.000015    19404 ennreal.mul_rpow_of_ne_zero
0.000018    19405 ennreal.mul_rpow_of_nonneg
0.000016    19406 abs_inv
0.000019    19407 real.log_inv
0.000016    19408 real.inv_rpow
0.000014    19409 nnreal.inv_rpow
0.000014    19410 ennreal.inv_rpow_of_pos
0.000017    19411 complex.one_cpow
0.000017    19412 real.one_rpow
0.000016    19413 nnreal.one_rpow
0.000014    19414 ennreal.one_rpow
0.000014    19415 zero_lt_mul_right
0.000014    19416 nnreal.rpow_mul
0.000017    19417 ennreal.rpow_mul
0.000018    19418 ennreal.fun_mul_inv_snorm_rpow
0.000015    19419 ennreal.lintegral_rpow_fun_mul_inv_snorm_eq_one
0.000014    19420 ennreal.lintegral_mul_le_Lp_mul_Lq_of_ne_zero_of_ne_top
0.000014    19421 ennreal.lintegral_mul_le_Lp_mul_Lq
0.000014    19422 eq_div_iff
0.000017    19423 real.is_conjugate_exponent.sub_one_ne_zero
0.000015    19424 real.is_conjugate_exponent.sub_one_mul_conj
0.000016    19425 ennreal.lintegral_mul_rpow_le_lintegral_rpow_mul_lintegral_rpow
0.000017    19426 ennreal.lintegral_rpow_add_le_add_snorm_mul_lintegral_rpow_add
0.000015    19427 _private.112011995.lintegral_Lp_add_le_aux
0.000014    19428 real.conjugate_exponent
0.000014    19429 real.is_conjugate_exponent_iff
0.000014    19430 real.is_conjugate_exponent_conjugate_exponent
0.000015    19431 nnreal.rpow_lt_rpow
0.000016    19432 ennreal.rpow_lt_rpow
0.000015    19433 ennreal.rpow_ne_top_of_nonneg
0.000016    19434 ennreal.rpow_lt_top_of_nonneg
0.000017    19435 real.rpow_neg
0.000017    19436 nnreal.rpow_neg
0.000017    19437 ennreal.rpow_neg
0.000017    19438 ennreal.rpow_neg_one
0.000017    19439 univ_unique
0.000017    19440 fin.default_eq_zero
0.000017    19441 ennreal.le_of_top_imp_top_of_to_nnreal_le
0.000016    19442 multiset.sum_eq_foldr
0.000017    19443 multiset.sum_induction
0.000017    19444 finset.sum_induction
0.000017    19445 with_top.sum_lt_top
0.000017    19446 with_top.sum_lt_top_iff
0.000017    19447 with_top.sum_eq_top_iff
0.000017    19448 ennreal.sum_eq_top_iff
0.000017    19449 ennreal.sum_lt_top
0.000017    19450 ennreal.to_nnreal_sum
0.000017    19451 ennreal.sum_lt_top_iff
0.000016    19452 ennreal.one_to_nnreal
0.000017    19453 ennreal.to_nnreal_rpow
0.000017    19454 ennreal.to_nnreal_hom._proof_1
0.000017    19455 ennreal.to_nnreal_mul_top
0.000017    19456 ennreal.to_nnreal_top_mul
0.000017    19457 ennreal.to_nnreal_hom._proof_2
0.000016    19458 ennreal.to_nnreal_hom
0.000017    19459 ennreal.to_nnreal_mul
0.000016    19460 set.ord_connected.convex
0.000017    19461 convex_Ici
0.000017    19462 real.continuous_log'
0.000018    19463 real.continuous_rpow_aux1
0.000016    19464 complex.arg_neg_one
0.000017    19465 complex.of_real_def
0.000017    19466 max_eq_right_iff
0.000017    19467 le_neg_self_iff
0.000017    19468 abs_eq_neg_self
0.000017    19469 complex.arg_eq_pi_iff
0.000017    19470 complex.arg_of_real_of_neg
0.000016    19471 abs_abs
0.000017    19472 real.log_abs
0.000017    19473 real.log_neg_eq_log
0.000017    19474 real.rpow_def_of_neg
0.000017    19475 real.continuous_rpow_aux2
0.000017    19476 real.continuous_at_rpow_of_ne_zero
0.000017    19477 rat.cast_pos
0.000017    19478 exists_pos_rat_lt
0.000017    19479 subtype.dist_eq
0.000017    19480 mul_le_of_le_one_right
0.000017    19481 real.cos_sq_le_one
0.000017    19482 real.abs_cos_le_one
0.000017    19483 real.abs_rpow_le_abs_rpow
0.000017    19484 mul_lt_mul_of_neg_left
0.000017    19485 real.log_lt_log_iff
0.000017    19486 real.log_neg_iff
0.000017    19487 real.log_neg
0.000017    19488 real.rpow_lt_rpow_of_exponent_gt
0.000017    19489 sub_half
0.000017    19490 sub_lt_of_abs_sub_lt_left
0.000016    19491 real.continuous_rpow_aux3
0.000017    19492 real.continuous_at_rpow_of_pos
0.000017    19493 real.continuous_rpow
0.000017    19494 real.continuous_rpow_of_pos
0.000017    19495 has_deriv_at_filter.scomp
0.000017    19496 has_deriv_within_at.scomp
0.000017    19497 has_deriv_within_at.comp
0.000016    19498 has_deriv_at.comp_has_deriv_within_at
0.000018    19499 set.Iic_union_Ici
0.000017    19500 asymptotics.is_O_with.join
0.000017    19501 asymptotics.is_o.join
0.000017    19502 has_deriv_within_at.union
0.000017    19503 filter.eventually_bot
0.000017    19504 has_fderiv_within_at_of_not_mem_closure
0.000017    19505 closure_closure
0.000016    19506 metric.nhds_within_basis_ball
0.000017    19507 metric.tendsto_nhds_within_nhds_within
0.000017    19508 metric.tendsto_nhds_within_nhds
0.000017    19509 metric.mem_nhds_within_iff
0.000017    19510 nhds_within_prod_eq
0.000018    19511 pi.sub_apply
0.000017    19512 tendsto_nhds_within_of_tendsto_nhds
4.207900    19513 convex.norm_image_sub_le_of_norm_fderiv_within_le'
0.000080    19514 differentiable_at.fderiv_within
0.000024    19515 convex.inter
0.000015    19516 has_fderiv_at_boundary_of_tendsto_fderiv
0.000014    19517 set.ord_connected_Iio
0.000015    19518 set.ord_connected_Ioo
0.000014    19519 convex_Ioo
0.000014    19520 deriv_fderiv
0.000014    19521 is_bounded_bilinear_map.continuous
0.000014    19522 is_bounded_bilinear_map.continuous_right
0.000017    19523 set.Ioo_subset_Iio_self
0.000017    19524 no_bot_order
0.000018    19525 no_bot_order.no_bot
0.000016    19526 no_bot
0.000015    19527 mem_nhds_within_Iic_iff_exists_Ioc_subset
0.000015    19528 mem_nhds_within_Iic_iff_exists_Icc_subset
0.000017    19529 exists_zero_lt
0.000018    19530 linear_ordered_add_comm_group.to_no_bot_order
0.000017    19531 order_dual.no_top_order
0.000017    19532 mem_nhds_within_Iio_iff_exists_Ico_subset
0.000015    19533 has_deriv_at_interval_right_endpoint_of_tendsto_deriv
0.000015    19534 differentiable_at.differentiable_within_at
0.000014    19535 mem_nhds_within_Ici_iff_exists_Ico_subset'
0.000017    19536 mem_nhds_within_Ici_iff_exists_Ico_subset
0.000017    19537 mem_nhds_within_Ici_iff_exists_Icc_subset
0.000017    19538 has_deriv_at_interval_left_endpoint_of_tendsto_deriv
0.000015    19539 has_deriv_at_of_has_deriv_at_of_ne
0.000014    19540 filter.eventually_eq.has_deriv_at_filter_iff
0.000014    19541 has_deriv_at_filter.congr_of_eventually_eq
0.000015    19542 has_deriv_at.congr_of_eventually_eq
0.000014    19543 real.exp_sub
0.000016    19544 real.exp_log_of_neg
0.000018    19545 mul_eq_mul_right_iff
0.000017    19546 has_deriv_within_at.mul_const
0.000017    19547 has_deriv_at.mul_const
0.000017    19548 has_deriv_at_filter.comp
0.000017    19549 has_deriv_at.comp
0.000017    19550 continuous_linear_equiv.map_sub
0.000017    19551 continuous_linear_equiv.coe_coe
0.000017    19552 filter.eventually.prod_inl_nhds
0.000017    19553 filter.eventually.prod_inr_nhds
0.000017    19554 filter.eventually.prod_mk_nhds
0.000017    19555 asymptotics.is_o.symm
0.000016    19556 continuous_linear_equiv.is_O_comp
0.000017    19557 continuous_linear_equiv.is_O_comp_rev
0.000017    19558 asymptotics.is_O_with.of_neg_left
0.000029    19559 asymptotics.is_O_with_neg_right
0.000017    19560 asymptotics.is_O_with.neg_right
0.000016    19561 asymptotics.is_O_with.right_le_sub_of_lt_1
0.000018    19562 asymptotics.is_O_with.right_le_add_of_lt_1
0.000019    19563 asymptotics.is_o.right_is_O_add
0.000015    19564 has_strict_fderiv_at.is_O_sub_rev
0.000017    19565 has_strict_fderiv_at.of_local_left_inverse
0.000017    19566 continuous_linear_equiv.equiv_of_inverse._proof_1
0.000017    19567 continuous_linear_equiv.equiv_of_inverse._proof_2
0.000017    19568 continuous_linear_equiv.equiv_of_inverse
0.000017    19569 continuous_linear_equiv.units_equiv_aut._proof_1
0.000017    19570 continuous_linear_equiv.units_equiv_aut._proof_2
0.000017    19571 continuous_linear_equiv.units_equiv_aut._proof_3
0.000017    19572 continuous_linear_equiv.units_equiv_aut._proof_4
0.000015    19573 continuous_linear_equiv.units_equiv_aut._proof_5
0.000014    19574 continuous_linear_equiv.units_equiv_aut._proof_6
0.000014    19575 continuous_linear_equiv.map_smul
0.000015    19576 continuous_linear_equiv.units_equiv_aut._proof_7
0.000016    19577 continuous_linear_equiv.units_equiv_aut._proof_8
0.000015    19578 continuous_linear_equiv.symm_equiv_of_inverse
0.000016    19579 continuous_linear_equiv.equiv_of_inverse_apply
0.000018    19580 units.mk_coe
0.000017    19581 continuous_linear_equiv.units_equiv_aut._proof_9
0.000017    19582 continuous_linear_equiv.cases_on
0.000017    19583 continuous_linear_equiv.to_linear_equiv_injective
0.000017    19584 linear_equiv.cases_on
0.000017    19585 linear_equiv.no_confusion_type
0.000017    19586 linear_equiv.no_confusion
0.000018    19587 linear_equiv.mk.inj
0.000017    19588 linear_equiv.mk.inj_eq
0.000017    19589 linear_equiv.to_equiv_injective
0.000017    19590 linear_equiv.ext
0.000017    19591 continuous_linear_equiv.ext
0.000017    19592 continuous_linear_equiv.ext₁
0.000017    19593 units.inv_mk
0.000017    19594 continuous_linear_equiv.units_equiv_aut._proof_10
0.000017    19595 continuous_linear_equiv.units_equiv_aut
0.000016    19596 has_strict_deriv_at.has_strict_fderiv_at_equiv
0.000017    19597 has_strict_deriv_at.of_local_left_inverse
0.000017    19598 real.continuous_at_log
0.000017    19599 real.has_strict_deriv_at_exp
0.000017    19600 real.has_strict_deriv_at_log_of_pos
0.000018    19601 has_strict_deriv_at_neg
0.000016    19602 real.has_strict_deriv_at_log
0.000017    19603 real.has_deriv_at_log
0.000015    19604 real.has_deriv_at_rpow_of_neg
0.000016    19605 real.has_deriv_at_rpow_of_pos
0.000017    19606 real.has_deriv_at_rpow
0.000017    19607 real.has_deriv_at_rpow_zero_of_one_le
0.000017    19608 real.has_deriv_at_rpow_of_one_le
3.487716    19609 has_deriv_within_at.rpow_of_one_le
0.000075    19610 has_deriv_at.rpow_of_one_le
0.000024    19611 differentiable_at.rpow_of_one_le
0.000015    19612 differentiable.rpow_of_one_le
0.000015    19613 deriv_rpow_of_one_le
0.000014    19614 differentiable_at_id'
0.000016    19615 deriv_id
0.000014    19616 deriv_id''
0.000014    19617 set.compl_Iio
0.000013    19618 interior_compl
0.000014    19619 closure_Iio
0.000014    19620 set.compl_Iic
0.000014    19621 interior_Ici
0.000017    19622 algebra.smul_mul_assoc
0.000017    19623 is_scalar_tower.right
0.000015    19624 has_fderiv_at.prod
0.000015    19625 has_fderiv_at.smul
0.000016    19626 has_fderiv_at.mul
0.000017    19627 differentiable_at.mul
0.000015    19628 has_deriv_within_at.rpow
0.000014    19629 has_deriv_at.rpow
0.000017    19630 differentiable_at.rpow
0.000014    19631 deriv_mul
0.000015    19632 deriv_const
0.000018    19633 deriv_const'
0.000017    19634 deriv_rpow
0.000017    19635 convex_on_rpow
0.000017    19636 real.rpow_arith_mean_le_arith_mean_rpow
0.000015    19637 nnreal.rpow_arith_mean_le_arith_mean_rpow
0.000014    19638 ennreal.one_lt_top
0.000016    19639 ennreal.rpow_arith_mean_le_arith_mean_rpow
0.000015    19640 ennreal.rpow_arith_mean_le_arith_mean2_rpow
0.000017    19641 ennreal.div_add_div_same
0.000017    19642 has_measurable_mul.measurable_const_mul
0.000017    19643 ae_measurable.const_mul
0.000017    19644 ennreal.ne_top_of_mul_ne_top_left
0.000017    19645 ennreal.lt_top_of_mul_lt_top_left
0.000017    19646 ennreal.lt_top_of_mul_lt_top_right
0.000016    19647 ennreal.mul_lt_top_iff
0.000018    19648 ennreal.lintegral_rpow_add_lt_top_of_lintegral_rpow_lt_top
0.000017    19649 ennreal.lintegral_Lp_add_le
0.000017    19650 continuous_nnnorm
0.000017    19651 measurable_nnnorm
0.000017    19652 measurable_ennnorm
0.000017    19653 ae_measurable.ennnorm
0.000016    19654 measure_theory.snorm'_add_le
0.000017    19655 ennreal.one_to_real
0.000017    19656 measure_theory.snorm_add_le
0.000017    19657 measure_theory.snorm_add_lt_top_of_one_le
0.000017    19658 ennreal.rpow_le_rpow_iff
0.000017    19659 ennreal.le_rpow_one_div_iff
0.000017    19660 one_div_one_div
0.000017    19661 ennreal.rpow_eq_top_iff_of_pos
0.000017    19662 ennreal.add_ne_top
0.000018    19663 ennreal.div_one
0.000016    19664 ennreal.div_rpow_of_nonneg
0.000017    19665 linarith.le_of_le_of_eq
0.000017    19666 real.exp_le_exp
0.000017    19667 mul_le_mul_of_nonpos_left
0.000017    19668 real.log_pos_iff
0.000017    19669 real.log_nonpos_iff
0.000017    19670 real.log_nonpos_iff'
0.000017    19671 real.log_nonpos
0.000017    19672 real.rpow_le_rpow_of_exponent_ge
0.000017    19673 nnreal.rpow_le_rpow_of_exponent_ge
0.000017    19674 ennreal.coe_le_one_iff
0.000017    19675 ennreal.rpow_le_rpow_of_exponent_ge
0.000017    19676 ennreal.rpow_le_self_of_le_one
0.000017    19677 _private.71664787.add_rpow_le_one_of_add_le_one
0.000017    19678 ennreal.add_rpow_le_rpow_add
0.000017    19679 ennreal.rpow_add_rpow_le_add
0.000017    19680 one_le_div
0.000017    19681 ennreal.rpow_add_rpow_le
0.000017    19682 ennreal.rpow_add_le_add_rpow
0.000015    19683 measure_theory.lintegral_rpow_nnnorm_eq_rpow_snorm'
0.000017    19684 measure_theory.lintegral_rpow_nnnorm_lt_top_of_snorm'_lt_top
0.000017    19685 measure_theory.snorm'_add_lt_top_of_le_one
0.000016    19686 measure_theory.mem_ℒp.equations._eqn_1
0.000017    19687 measure_theory.snorm_add_lt_top
0.000017    19688 measure_theory.Lp._proof_4
0.000017    19689 measure_theory.ae_eq_fun.comp_eq_mk
0.000017    19690 measure_theory.ae_eq_fun.coe_fn_comp
0.000017    19691 measure_theory.ae_eq_fun.coe_fn_neg
0.000017    19692 pi.neg_apply
0.000017    19693 nnnorm_neg
0.000017    19694 measure_theory.snorm'_neg
0.000017    19695 measure_theory.snorm_neg
0.000015    19696 measure_theory.Lp._proof_5
0.000014    19697 measure_theory.Lp
0.000016    19698 measure_theory.Lp.mem_Lp_iff_snorm_lt_top
0.000017    19699 measure_theory.Lp.mem_Lp_iff_mem_ℒp
0.000017    19700 nat.smul_one_eq_coe
0.000017    19701 units.is_unit_mul_units
0.000017    19702 opposite
0.000017    19703 opposite.unop
0.000017    19704 category_theory.has_hom.opposite
0.000017    19705 category_theory.large_category
0.000017    19706 category_theory.bundled_hom
0.000017    19707 category_theory.bundled_hom.id
0.000017    19708 category_theory.bundled_hom.comp
0.000017    19709 category_theory.bundled_hom.to_fun
0.000016    19710 category_theory.bundled_hom.hom_ext
0.000017    19711 category_theory.bundled_hom.comp_to_fun
0.000017    19712 category_theory.bundled_hom.id_to_fun
0.000017    19713 function.right_id
0.000017    19714 category_theory.bundled_hom.category._proof_1
0.000017    19715 function.left_id
0.000017    19716 category_theory.bundled_hom.category._proof_2
0.000017    19717 category_theory.bundled_hom.category._proof_3
0.000017    19718 category_theory.bundled_hom.category
0.000017    19719 continuous_map
0.000017    19720 continuous_map.to_fun
0.000016    19721 continuous_map.id
0.000017    19722 continuous_map.has_coe_to_fun
0.178555    19723 continuous_map.continuous_to_fun
0.000077    19724 continuous_map.coe_continuous
0.000024    19725 continuous_map.comp._proof_1
0.000015    19726 continuous_map.comp
0.000014    19727 continuous_map.cases_on
0.000014    19728 continuous_map.coe_inj
0.000015    19729 Top.bundled_hom._proof_1
0.000015    19730 Top.bundled_hom._proof_2
0.000014    19731 Top.bundled_hom
0.000019    19732 Top.large_category
0.000017    19733 TopCommRing
0.000017    19734 CommRing
0.000015    19735 category_theory.bundled.of
0.000017    19736 CommRing.of
0.000015    19737 TopCommRing.α
0.000014    19738 TopCommRing.has_coe_to_sort
0.000017    19739 TopCommRing.is_comm_ring
0.000017    19740 TopCommRing.is_topological_space
0.000015    19741 TopCommRing.category_theory.category._proof_1
0.000014    19742 TopCommRing.category_theory.category._proof_2
0.000017    19743 ring_hom.cases_on
0.000019    19744 ring_hom.coe_inj
0.000015    19745 ring_hom.ext
0.000017    19746 ring_hom.comp_id
0.000017    19747 TopCommRing.category_theory.category._proof_3
0.000015    19748 ring_hom.id_comp
0.000014    19749 TopCommRing.category_theory.category._proof_4
0.000016    19750 TopCommRing.category_theory.category._proof_5
0.000016    19751 TopCommRing.category_theory.category
0.000016    19752 category_theory.types._proof_1
0.000017    19753 category_theory.types._proof_2
0.000017    19754 category_theory.types._proof_3
0.000017    19755 category_theory.types
0.000016    19756 category_theory.faithful
0.000018    19757 category_theory.concrete_category
0.000016    19758 category_theory.functor.comp._proof_1
0.000017    19759 category_theory.functor.map_comp
0.000017    19760 category_theory.functor.comp._proof_2
0.000017    19761 category_theory.functor.comp
0.000017    19762 category_theory.concrete_category.forget
0.000017    19763 category_theory.forget
0.000017    19764 category_theory.has_forget₂
0.000016    19765 category_theory.has_forget₂.forget₂
0.000017    19766 category_theory.forget₂
0.000017    19767 TopCommRing.category_theory.concrete_category._proof_1
0.000017    19768 TopCommRing.category_theory.concrete_category._proof_2
0.000017    19769 TopCommRing.category_theory.concrete_category._proof_3
0.000017    19770 TopCommRing.category_theory.concrete_category
0.000017    19771 category_theory.bundled_hom.category_theory.bundled.category_theory.concrete_category._proof_1
0.000017    19772 category_theory.bundled_hom.category_theory.bundled.category_theory.concrete_category._proof_2
0.000017    19773 category_theory.bundled_hom.category_theory.bundled.category_theory.concrete_category._proof_3
0.000017    19774 category_theory.bundled_hom.category_theory.bundled.category_theory.concrete_category
0.000017    19775 Top.concrete_category
0.000017    19776 category_theory.faithful.map_injective
0.000015    19777 category_theory.functor.map_injective
0.000014    19778 heq.subst
0.000017    19779 heq.trans
0.000017    19780 category_theory.faithful.div._proof_1
0.000017    19781 heq.symm
0.000017    19782 category_theory.faithful.div._proof_2
0.000017    19783 category_theory.faithful.div
0.000016    19784 category_theory.concrete_category.forget_faithful
0.000017    19785 category_theory.functor.cases_on
0.000017    19786 category_theory.faithful.div.equations._eqn_1
0.000017    19787 category_theory.functor.comp.equations._eqn_1
0.000017    19788 category_theory.faithful.div_comp
0.000017    19789 category_theory.has_forget₂.mk'._proof_1
0.000016    19790 category_theory.has_forget₂.mk'
0.000017    19791 Top.of
0.000016    19792 TopCommRing.forget_topological_space
0.000017    19793 TopCommRing.has_forget_to_Top._proof_1
0.000017    19794 TopCommRing.has_forget_to_Top._proof_2
0.000016    19795 heq.rfl
0.000017    19796 TopCommRing.has_forget_to_Top._proof_3
0.000017    19797 TopCommRing.has_forget_to_Top
0.000017    19798 continuous_map.continuous
0.000016    19799 continuous_map.has_add._proof_1
0.000017    19800 continuous_map.has_add
0.000017    19801 continuous_map.ext
0.000017    19802 continuous_map_add_semigroup._proof_1
0.000016    19803 continuous_map_add_semigroup
0.000017    19804 continuous_map_add_comm_monoid._proof_1
0.000018    19805 continuous_map.const
0.000017    19806 continuous_map.has_zero
0.000016    19807 continuous_map_add_comm_monoid._proof_2
0.000017    19808 continuous_map_add_comm_monoid._proof_3
0.000017    19809 continuous_map_add_comm_monoid._proof_4
0.000017    19810 continuous_map_add_comm_monoid._proof_5
0.000017    19811 continuous_map_add_comm_monoid._proof_6
0.000016    19812 continuous_map_add_comm_monoid._proof_7
0.000017    19813 continuous_map_add_comm_monoid._proof_8
0.000017    19814 continuous_map_add_comm_monoid
0.000017    19815 continuous_map_semiring._proof_1
0.000017    19816 continuous_map_semiring._proof_2
0.000017    19817 continuous_map_semiring._proof_3
0.000016    19818 continuous_map_semiring._proof_4
0.000017    19819 continuous_map_semiring._proof_5
0.169816    19820 continuous_map_semiring._proof_6
0.000081    19821 continuous_map.has_mul._proof_1
0.000020    19822 continuous_map.has_mul
0.000015    19823 continuous_map_semigroup._proof_1
0.000014    19824 continuous_map_semigroup
0.000014    19825 continuous_map_monoid._proof_1
0.000014    19826 continuous_map.has_one
0.000015    19827 continuous_map_monoid._proof_2
0.000014    19828 continuous_map_monoid._proof_3
0.000018    19829 continuous_map_monoid._proof_4
0.000018    19830 continuous_map_monoid._proof_5
0.000017    19831 continuous_map_monoid._proof_6
0.000015    19832 continuous_map_monoid._proof_7
0.000015    19833 continuous_map_monoid
0.000014    19834 continuous_map_semiring._proof_7
0.000014    19835 continuous_map_semiring._proof_8
0.000018    19836 continuous_map_semiring._proof_9
0.000017    19837 continuous_map_semiring._proof_10
0.000015    19838 continuous_map_semiring._proof_11
0.000014    19839 continuous_map_semiring._proof_12
0.000018    19840 continuous_map_semiring._proof_13
0.000015    19841 continuous_map_semiring._proof_14
0.000017    19842 continuous_map_semiring._proof_15
0.000017    19843 continuous_map_semiring
0.000015    19844 continuous_map_comm_ring._proof_1
0.000014    19845 continuous_map_comm_ring._proof_2
0.000018    19846 continuous_map_comm_ring._proof_3
0.000015    19847 continuous_map_comm_ring._proof_4
0.000018    19848 continuous_map_comm_ring._proof_5
0.000016    19849 continuous_map_comm_ring._proof_6
0.000016    19850 continuous_map_add_monoid._proof_1
0.000014    19851 continuous_map_add_monoid._proof_2
0.000017    19852 continuous_map_add_monoid._proof_3
0.000014    19853 continuous_map_add_monoid._proof_4
0.000019    19854 continuous_map_add_monoid._proof_5
0.000016    19855 continuous_map_add_monoid._proof_6
0.000015    19856 continuous_map_add_monoid._proof_7
0.000015    19857 continuous_map_add_monoid
0.000017    19858 continuous_map_add_group._proof_1
0.000015    19859 continuous_map_add_group._proof_2
0.000014    19860 continuous_map_add_group._proof_3
0.000014    19861 continuous_map_add_group._proof_4
0.000018    19862 continuous_map_add_group._proof_5
0.000016    19863 continuous_map_add_group._proof_6
0.000017    19864 continuous_map_add_group._proof_7
0.000017    19865 continuous_map_add_group._proof_8
0.000017    19866 continuous_map_add_group._proof_9
0.000017    19867 continuous_map_add_group._proof_10
0.000017    19868 continuous_map_add_group._proof_11
0.000017    19869 continuous_map_add_group._proof_12
0.000017    19870 continuous_map_add_group._proof_13
0.000017    19871 continuous_map_add_group
0.000017    19872 continuous_map_add_comm_group._proof_1
0.000017    19873 continuous_map_add_comm_group._proof_2
0.000017    19874 continuous_map_add_comm_group._proof_3
0.000016    19875 continuous_map_add_comm_group._proof_4
0.000017    19876 continuous_map_add_comm_group._proof_5
0.000017    19877 continuous_map_add_comm_group._proof_6
0.000017    19878 continuous_map_add_comm_group._proof_7
0.000017    19879 continuous_map_add_comm_group._proof_8
0.000017    19880 continuous_map_add_comm_group
0.000017    19881 topological_ring.continuous_neg
0.000017    19882 topological_ring.to_topological_add_group
0.000017    19883 continuous_map_comm_ring._proof_7
0.000017    19884 continuous_map_comm_ring._proof_8
0.000016    19885 continuous_map_comm_ring._proof_9
0.000017    19886 continuous_map_comm_ring._proof_10
0.000017    19887 continuous_map_comm_ring._proof_11
0.000017    19888 continuous_map_comm_ring._proof_12
0.000017    19889 continuous_map_comm_ring._proof_13
0.000017    19890 continuous_map_comm_ring._proof_14
0.000017    19891 continuous_map_comm_ring._proof_15
0.000017    19892 continuous_map_comm_ring._proof_16
0.000017    19893 continuous_map_comm_ring._proof_17
0.000016    19894 continuous_map_comm_monoid._proof_1
0.000017    19895 continuous_map_comm_monoid._proof_2
0.000017    19896 continuous_map_comm_monoid._proof_3
0.000017    19897 continuous_map_comm_monoid._proof_4
0.000017    19898 continuous_map_comm_monoid._proof_5
0.000016    19899 continuous_map_comm_monoid._proof_6
0.000017    19900 continuous_map_comm_monoid._proof_7
0.000017    19901 continuous_map_comm_monoid._proof_8
0.000017    19902 continuous_map_comm_monoid
0.000017    19903 continuous_map_comm_ring._proof_18
0.000017    19904 continuous_map_comm_ring
0.000017    19905 TopCommRing.forget_to_Top_comm_ring
0.000017    19906 TopCommRing.is_topological_ring
0.000017    19907 TopCommRing.forget_to_Top_topological_ring
0.000017    19908 Top.continuous_functions
0.000016    19909 category_theory.has_hom.hom.unop
0.000017    19910 Top.continuous_functions.pullback._proof_4
0.000017    19911 complete_lattice_of_complete_semilattice_Inf._proof_1
0.000017    19912 complete_lattice_of_complete_semilattice_Inf
0.000017    19913 measure_theory.measure.complete_semilattice_Inf._proof_1
0.562125    19914 measure_theory.measure.complete_semilattice_Inf._proof_2
0.000077    19915 measure_theory.measure.complete_semilattice_Inf._proof_3
0.000020    19916 measure_theory.measure.complete_semilattice_Inf._proof_4
0.000015    19917 complete_lattice_of_Sup._proof_1
0.000015    19918 complete_lattice_of_Sup._proof_2
0.000014    19919 upper_bounds_singleton
0.000014    19920 upper_bounds_insert
0.000013    19921 complete_lattice_of_Sup._proof_3
0.000017    19922 complete_lattice_of_Sup._proof_4
0.000017    19923 complete_lattice_of_Sup._proof_5
0.000017    19924 complete_lattice_of_Sup._proof_6
0.000017    19925 complete_lattice_of_Sup._proof_7
0.000014    19926 complete_lattice_of_Sup._proof_8
0.000015    19927 complete_lattice_of_Sup._proof_9
0.000016    19928 complete_lattice_of_Sup._proof_10
0.000018    19929 complete_lattice_of_Sup._proof_11
0.000016    19930 complete_lattice_of_Sup._proof_12
0.000015    19931 complete_lattice_of_Sup
0.000014    19932 measure_theory.outer_measure.outer_measure.order_bot._proof_1
0.000014    19933 measure_theory.outer_measure.outer_measure.order_bot._proof_2
0.000014    19934 measure_theory.outer_measure.outer_measure.order_bot._proof_3
0.000014    19935 measure_theory.outer_measure.outer_measure.order_bot._proof_4
0.000014    19936 measure_theory.outer_measure.outer_measure.order_bot._proof_5
0.000014    19937 measure_theory.outer_measure.outer_measure.order_bot
0.000016    19938 measure_theory.outer_measure.has_Sup._proof_1
0.000017    19939 le_bsupr
0.000017    19940 bsupr_le_bsupr
0.000017    19941 measure_theory.outer_measure.has_Sup._proof_2
0.000017    19942 measure_theory.outer_measure.has_Sup._proof_3
0.000016    19943 measure_theory.outer_measure.has_Sup
0.000017    19944 measure_theory.outer_measure.complete_lattice._proof_1
0.000017    19945 measure_theory.outer_measure.complete_lattice._proof_2
0.000016    19946 measure_theory.outer_measure.complete_lattice._proof_3
0.000017    19947 measure_theory.outer_measure.complete_lattice._proof_4
0.000017    19948 measure_theory.outer_measure.complete_lattice._proof_5
0.000017    19949 measure_theory.outer_measure.complete_lattice._proof_6
0.000016    19950 measure_theory.outer_measure.complete_lattice._proof_7
0.000017    19951 measure_theory.outer_measure.complete_lattice._proof_8
0.000016    19952 measure_theory.outer_measure.complete_lattice._proof_9
0.000018    19953 measure_theory.outer_measure.complete_lattice._proof_10
0.000016    19954 measure_theory.outer_measure.complete_lattice._proof_11
0.000017    19955 measure_theory.outer_measure.complete_lattice._proof_12
0.000017    19956 measure_theory.outer_measure.complete_lattice._proof_13
0.000017    19957 measure_theory.outer_measure.complete_lattice._proof_14
0.000017    19958 measure_theory.outer_measure.complete_lattice._proof_15
0.000017    19959 measure_theory.outer_measure.complete_lattice._proof_16
0.000017    19960 measure_theory.outer_measure.complete_lattice._proof_17
0.000017    19961 measure_theory.outer_measure.complete_lattice
0.000017    19962 measure_theory.outer_measure.bounded_by._proof_1
0.000016    19963 measure_theory.outer_measure.bounded_by
0.000017    19964 measure_theory.outer_measure.Inf_gen
0.000017    19965 measure_theory.outer_measure.bounded_by.equations._eqn_1
0.000017    19966 measure_theory.outer_measure.le_of_function
0.000017    19967 is_lub.cSup_eq
0.000017    19968 is_greatest.nonempty
0.000016    19969 is_greatest.cSup_eq
0.000017    19970 cSup_singleton
0.000017    19971 csupr_const
0.000017    19972 measure_theory.outer_measure.le_bounded_by
0.000017    19973 supr_const_le
0.000016    19974 measure_theory.outer_measure.bounded_by_le
0.000017    19975 measure_theory.outer_measure.Inf_eq_bounded_by_Inf_gen
0.000017    19976 set.empty_inter
0.000016    19977 measure_theory.outer_measure.bounded_by_caratheodory
0.000017    19978 measure_theory.outer_measure.Inf_gen.equations._eqn_1
0.000017    19979 measure_theory.measure_eq_infi
0.000017    19980 measure_theory.measure_eq_inter_diff
0.000016    19981 measure_theory.outer_measure.Inf_gen_def
0.000017    19982 measure_theory.to_outer_measure_apply
0.000017    19983 measure_theory.measure.Inf_caratheodory
0.000017    19984 measure_theory.measure.has_Inf
0.000017    19985 measure_theory.measure.Inf_apply
0.000017    19986 _private.2803293247.measure_Inf_le
0.000017    19987 measure_theory.measure.complete_semilattice_Inf._proof_5
0.000016    19988 measure_theory.outer_measure.le_trim_iff
0.000017    19989 measure_theory.measure.to_outer_measure_le
0.000017    19990 _private.3982149971.measure_le_Inf
0.000017    19991 measure_theory.measure.complete_semilattice_Inf._proof_6
0.000017    19992 measure_theory.measure.complete_semilattice_Inf
0.000017    19993 measure_theory.measure.complete_lattice._proof_1
0.173850    19994 measure_theory.measure.complete_lattice._proof_2
0.000084    19995 measure_theory.measure.complete_lattice._proof_3
0.000022    19996 measure_theory.measure.complete_lattice._proof_4
0.000015    19997 measure_theory.measure.complete_lattice._proof_5
0.000014    19998 measure_theory.measure.complete_lattice._proof_6
0.000014    19999 measure_theory.measure.complete_lattice._proof_7
0.000014    20000 measure_theory.measure.complete_lattice._proof_8
0.000014    20001 measure_theory.measure.complete_lattice._proof_9
0.000014    20002 measure_theory.measure.complete_lattice._proof_10
0.000015    20003 measure_theory.measure.complete_lattice._proof_11
0.000017    20004 measure_theory.measure.complete_lattice._proof_12
0.000017    20005 measure_theory.measure.complete_lattice._proof_13
0.000015    20006 measure_theory.measure.complete_lattice._proof_14
0.000016    20007 measure_theory.measure.complete_lattice._proof_15
0.000018    20008 measure_theory.measure.complete_lattice._proof_16
0.000017    20009 measure_theory.measure.complete_lattice
0.000017    20010 onote
0.000016    20011 onote.sizeof
0.000014    20012 onote.zero.sizeof_spec
0.000018    20013 linear_ordered_add_comm_monoid.add
0.000018    20014 linear_ordered_add_comm_monoid.add_assoc
0.000017    20015 linear_ordered_add_comm_monoid.zero
0.000015    20016 linear_ordered_add_comm_monoid.zero_add
0.000015    20017 linear_ordered_add_comm_monoid.add_zero
0.000016    20018 linear_ordered_add_comm_monoid.nsmul
0.000020    20019 linear_ordered_add_comm_monoid.nsmul_zero'
0.000017    20020 linear_ordered_add_comm_monoid.nsmul_succ'
0.000017    20021 linear_ordered_add_comm_monoid.add_comm
0.000017    20022 linear_ordered_add_comm_monoid.add_le_add_left
0.000015    20023 linear_ordered_add_comm_monoid.lt_of_add_lt_add_left
0.000015    20024 linear_ordered_add_comm_monoid.to_ordered_add_comm_monoid
0.000016    20025 linear_ordered_add_comm_monoid_with_top
0.000038    20026 valuation
0.000019    20027 multiplicative.ordered_comm_monoid._proof_1
0.000018    20028 multiplicative.ordered_comm_monoid._proof_2
0.000015    20029 multiplicative.ordered_comm_monoid._proof_3
0.000014    20030 multiplicative.ordered_comm_monoid._proof_4
0.000015    20031 multiplicative.ordered_comm_monoid._proof_5
0.000017    20032 multiplicative.ordered_comm_monoid._proof_6
0.000017    20033 multiplicative.partial_order
0.000017    20034 multiplicative.ordered_comm_monoid._proof_7
0.000017    20035 multiplicative.ordered_comm_monoid._proof_8
0.000017    20036 multiplicative.ordered_comm_monoid._proof_9
0.000017    20037 multiplicative.ordered_comm_monoid._proof_10
0.000017    20038 multiplicative.ordered_comm_monoid
0.000015    20039 linear_ordered_add_comm_monoid_with_top.le
0.000015    20040 linear_ordered_add_comm_monoid_with_top.lt
0.000014    20041 linear_ordered_add_comm_monoid_with_top.le_refl
0.000014    20042 linear_ordered_add_comm_monoid_with_top.le_trans
0.000014    20043 linear_ordered_add_comm_monoid_with_top.lt_iff_le_not_le
0.000014    20044 linear_ordered_add_comm_monoid_with_top.le_antisymm
0.000017    20045 linear_ordered_add_comm_monoid_with_top.le_total
0.000017    20046 linear_ordered_add_comm_monoid_with_top.decidable_le
0.000018    20047 linear_ordered_add_comm_monoid_with_top.decidable_eq
0.000017    20048 linear_ordered_add_comm_monoid_with_top.decidable_lt
0.000017    20049 linear_ordered_add_comm_monoid_with_top.add
0.000017    20050 linear_ordered_add_comm_monoid_with_top.add_assoc
0.000017    20051 linear_ordered_add_comm_monoid_with_top.zero
0.000017    20052 linear_ordered_add_comm_monoid_with_top.zero_add
0.000017    20053 linear_ordered_add_comm_monoid_with_top.add_zero
0.000017    20054 linear_ordered_add_comm_monoid_with_top.nsmul
0.000015    20055 linear_ordered_add_comm_monoid_with_top.nsmul_zero'
0.000016    20056 linear_ordered_add_comm_monoid_with_top.nsmul_succ'
0.000017    20057 linear_ordered_add_comm_monoid_with_top.add_comm
0.000018    20058 linear_ordered_add_comm_monoid_with_top.add_le_add_left
0.000016    20059 linear_ordered_add_comm_monoid_with_top.lt_of_add_lt_add_left
0.000017    20060 linear_ordered_add_comm_monoid_with_top.to_linear_ordered_add_comm_monoid
0.000018    20061 multiplicative.linear_ordered_comm_monoid_with_zero._proof_1
0.000017    20062 multiplicative.linear_ordered_comm_monoid_with_zero._proof_2
0.000017    20063 multiplicative.linear_ordered_comm_monoid_with_zero._proof_3
0.000017    20064 multiplicative.linear_ordered_comm_monoid_with_zero._proof_4
0.000015    20065 multiplicative.linear_order
0.000016    20066 multiplicative.linear_ordered_comm_monoid_with_zero._proof_5
0.000017    20067 multiplicative.linear_ordered_comm_monoid_with_zero._proof_6
0.196740    20068 multiplicative.linear_ordered_comm_monoid_with_zero._proof_7
0.000078    20069 multiplicative.linear_ordered_comm_monoid_with_zero._proof_8
0.000024    20070 multiplicative.linear_ordered_comm_monoid_with_zero._proof_9
0.000015    20071 multiplicative.linear_ordered_comm_monoid_with_zero._proof_10
0.000014    20072 multiplicative.linear_ordered_comm_monoid_with_zero._proof_11
0.000014    20073 multiplicative.linear_ordered_comm_monoid_with_zero._proof_12
0.000014    20074 multiplicative.linear_ordered_comm_monoid_with_zero._proof_13
0.000014    20075 linear_ordered_add_comm_monoid_with_top.top
0.000015    20076 linear_ordered_add_comm_monoid_with_top.le_top
0.000014    20077 linear_ordered_add_comm_monoid_with_top.to_order_top
0.000014    20078 linear_ordered_add_comm_monoid_with_top.top_add'
0.000014    20079 top_add
0.000014    20080 multiplicative.linear_ordered_comm_monoid_with_zero._proof_14
0.000014    20081 add_top
0.000015    20082 multiplicative.linear_ordered_comm_monoid_with_zero._proof_15
0.000014    20083 multiplicative.linear_ordered_comm_monoid_with_zero._proof_16
0.000017    20084 multiplicative.linear_ordered_comm_monoid_with_zero
0.000017    20085 add_valuation
0.000019    20086 valuation.to_fun
0.000014    20087 add_valuation.has_coe_to_fun
0.000017    20088 valuation.has_coe_to_fun
0.000017    20089 valuation.map_add'
0.000017    20090 valuation.map_add
0.000017    20091 valuation.map_add_le
0.000017    20092 add_valuation.map_le_add
0.000017    20093 rbnode
0.000015    20094 rbnode.color
0.000014    20095 rbnode.color.cases_on
0.000016    20096 rbnode.cases_on
0.000015    20097 rbnode.mk_insert_result._main
0.000014    20098 rbnode.mk_insert_result
0.000016    20099 rbnode.get_color._main
0.000015    20100 rbnode.get_color
0.000015    20101 rbnode.below
0.000016    20102 rbnode.brec_on
0.000015    20103 rbnode.ins._match_1
0.000016    20104 cmp_using
0.000015    20105 rbnode.color.no_confusion_type
0.000016    20106 rbnode.color.no_confusion
0.000016    20107 rbnode.color.decidable_eq._proof_1
0.000014    20108 rbnode.color.decidable_eq._proof_2
0.000017    20109 rbnode.color.decidable_eq
0.000015    20110 rbnode.balance1._main
0.000016    20111 rbnode.balance1
0.000016    20112 rbnode.balance1_node._main
0.000014    20113 rbnode.balance1_node
0.000016    20114 rbnode.balance2._main
0.000016    20115 rbnode.balance2
0.000014    20116 rbnode.balance2_node._main
0.000016    20117 rbnode.balance2_node
0.000016    20118 rbnode.ins._match_2
0.000014    20119 rbnode.ins._main
0.000016    20120 rbnode.ins
0.000015    20121 rbnode.insert
0.000016    20122 rbnode.well_formed
0.000016    20123 rbtree
0.000016    20124 rbmap_lt
0.000015    20125 rbmap
0.000016    20126 rbnode.find._match_1
0.000015    20127 rbnode.find._match_2
0.000017    20128 rbnode.find._main
0.000015    20129 rbnode.find
0.000015    20130 rbtree.find._main
0.000016    20131 rbtree.find
0.000015    20132 rbmap.rbmap_lt_dec
0.000016    20133 rbmap.find_entry._match_1
0.000016    20134 rbmap.find_entry
0.000014    20135 rbmap.contains
0.000016    20136 rbmap.contains.equations._eqn_1
0.000015    20137 omega.int.preterm
0.000016    20138 omega.int.preform
0.000016    20139 omega.int.preform.below
0.000014    20140 omega.int.preform.brec_on
0.000016    20141 omega.int.preform.cases_on
0.000015    20142 omega.int.push_neg._main
0.000016    20143 omega.int.push_neg
0.000016    20144 omega.int.nnf._main
0.000014    20145 omega.int.nnf
0.000016    20146 omega.int.nnf._main.equations._eqn_3
0.000015    20147 omega.int.nnf.equations._eqn_3
0.000016    20148 filter.germ.has_sup
0.000015    20149 filter.germ.lift_rel._proof_1
0.000017    20150 filter.germ.lift_rel
0.000015    20151 filter.germ.has_le
0.000015    20152 filter.eventually_le.refl
0.000014    20153 filter.germ.preorder._proof_1
0.000015    20154 quotient.induction_on₃'
0.000014    20155 filter.germ.induction_on₃
0.000016    20156 filter.germ.preorder._proof_2
0.000015    20157 filter.germ.preorder._proof_3
0.000017    20158 filter.germ.preorder
0.000017    20159 filter.germ.partial_order._proof_1
0.000015    20160 filter.germ.partial_order._proof_2
0.000016    20161 filter.germ.partial_order._proof_3
0.000015    20162 quotient.induction_on₂'
0.000018    20163 filter.germ.induction_on₂
0.000015    20164 filter.eventually_eq.germ_eq
0.000016    20165 filter.eventually_le.antisymm
0.000015    20166 filter.germ.partial_order._proof_4
0.000014    20167 filter.germ.partial_order
0.000017    20168 filter.germ.semilattice_sup._proof_1
0.000015    20169 filter.germ.semilattice_sup._proof_2
0.000016    20170 filter.germ.semilattice_sup._proof_3
0.000015    20171 filter.germ.semilattice_sup._proof_4
0.000014    20172 filter.germ.semilattice_sup._proof_5
0.000017    20173 filter.germ.semilattice_sup._proof_6
0.000016    20174 filter.germ.semilattice_sup._proof_7
0.000014    20175 filter.germ.semilattice_sup
0.000017    20176 filter.germ.semilattice_sup_top._proof_8
0.000015    20177 has_strict_deriv_at.sin
0.000016    20178 category_theory.bundled_hom.map_hom
0.102312    20179 category_theory.bundled_hom.parent_projection
0.000076    20180 category_theory.bundled_hom.map._proof_1
0.000024    20181 category_theory.bundled_hom.map._proof_2
0.000014    20182 category_theory.bundled_hom.map._proof_3
0.000015    20183 category_theory.bundled_hom.map
0.000014    20184 category_theory.bundled_hom.bundled_hom_of_parent_projection
0.000014    20185 SemiRing.bundled_hom._proof_1
0.000014    20186 SemiRing.bundled_hom._proof_2
0.000014    20187 SemiRing.bundled_hom
0.000015    20188 Ring.ring.to_semiring.category_theory.bundled_hom.parent_projection
0.000014    20189 CommRing.comm_ring.to_ring.category_theory.bundled_hom.parent_projection
0.000014    20190 CommRing.large_category
0.000014    20191 CommRing.concrete_category
0.000014    20192 TopCommRing.forget_comm_ring
0.000014    20193 TopCommRing.has_forget_to_CommRing._proof_1
0.000017    20194 TopCommRing.has_forget_to_CommRing._proof_2
0.000017    20195 TopCommRing.has_forget_to_CommRing
0.000018    20196 equiv.equiv_subsingleton_cod
0.000016    20197 equiv.perm_subsingleton
0.000015    20198 equiv.perm.subsingleton_eq_refl
0.000017    20199 equiv.perm.coe_subsingleton
0.000017    20200 measurable_equiv.prod_comm._proof_1
0.000017    20201 measurable_equiv.prod_comm._proof_2
0.000018    20202 measurable_equiv.prod_comm
0.000017    20203 measurable_equiv.cases_on
0.000017    20204 measurable_equiv.sum_congr._proof_1
0.000017    20205 measurable_equiv.sum_congr._proof_2
0.000015    20206 measurable_equiv.sum_congr
0.000014    20207 measurable_equiv.prod_sum_distrib
0.000017    20208 measurable_equiv.prod_sum_distrib.equations._eqn_1
0.000017    20209 is_submonoid
0.000014    20210 is_subgroup
0.000017    20211 normal_subgroup
0.000014    20212 ulift.has_one
0.000017    20213 ulift.has_mul
0.000015    20214 ulift.comm_group._proof_5
0.000017    20215 alg_equiv
0.000015    20216 opposite.op
0.000018    20217 opposite.has_add
0.000015    20218 opposite.unop_injective
0.000017    20219 opposite.add_semigroup._proof_1
0.000015    20220 opposite.add_semigroup
0.000014    20221 opposite.add_monoid._proof_1
0.000016    20222 opposite.has_zero
0.000015    20223 opposite.add_zero_class._proof_1
0.000017    20224 opposite.add_zero_class._proof_2
0.000015    20225 opposite.add_zero_class
0.000016    20226 opposite.add_monoid._proof_2
0.000015    20227 opposite.add_monoid._proof_3
0.000014    20228 opposite.add_monoid._proof_4
0.000016    20229 opposite.add_monoid._proof_5
0.000015    20230 opposite.add_monoid._proof_6
0.000016    20231 opposite.add_monoid._proof_7
0.000016    20232 opposite.add_monoid
0.000014    20233 opposite.add_comm_monoid._proof_1
0.000016    20234 opposite.add_comm_monoid._proof_2
0.000016    20235 opposite.add_comm_monoid._proof_3
0.000014    20236 opposite.add_comm_monoid._proof_4
0.000014    20237 opposite.add_comm_monoid._proof_5
0.000015    20238 opposite.add_comm_semigroup._proof_1
0.000014    20239 opposite.add_comm_semigroup._proof_2
0.000014    20240 opposite.add_comm_semigroup
0.000017    20241 opposite.add_comm_monoid._proof_6
0.000015    20242 opposite.add_comm_monoid
0.000016    20243 opposite.semiring._proof_1
0.000015    20244 opposite.semiring._proof_2
0.000017    20245 opposite.semiring._proof_3
0.000017    20246 opposite.semiring._proof_4
0.000015    20247 opposite.semiring._proof_5
0.000016    20248 opposite.semiring._proof_6
0.000015    20249 opposite.has_mul
0.000015    20250 opposite.semigroup._proof_1
0.000016    20251 opposite.semigroup
0.000015    20252 opposite.monoid._proof_1
0.000015    20253 opposite.has_one
0.000016    20254 opposite.mul_one_class._proof_1
0.000015    20255 opposite.mul_one_class._proof_2
0.000016    20256 opposite.mul_one_class
0.000015    20257 opposite.monoid._proof_2
0.000016    20258 opposite.monoid._proof_3
0.000015    20259 opposite.monoid._proof_4
0.000016    20260 opposite.monoid._proof_5
0.000015    20261 opposite.monoid._proof_6
0.000016    20262 opposite.monoid._proof_7
0.000015    20263 opposite.monoid
0.000014    20264 opposite.semiring._proof_7
0.000017    20265 opposite.semiring._proof_8
0.000015    20266 opposite.semiring._proof_9
0.000014    20267 opposite.semiring._proof_10
0.000017    20268 opposite.semiring._proof_11
0.000014    20269 opposite.semiring._proof_12
0.000017    20270 opposite.semiring._proof_13
0.000015    20271 opposite.distrib._proof_1
0.000016    20272 opposite.distrib._proof_2
0.000015    20273 opposite.distrib
0.000016    20274 opposite.semiring._proof_14
0.000015    20275 opposite.semiring._proof_15
0.000016    20276 opposite.semiring
0.000015    20277 quaternion_algebra.has_coe_t
0.000016    20278 quaternion_algebra.algebra._proof_1
0.000015    20279 quaternion_algebra.coe_re
0.000016    20280 quaternion_algebra.coe_im_i
0.000015    20281 quaternion_algebra.coe_im_j
0.000016    20282 quaternion_algebra.coe_im_k
0.000015    20283 quaternion_algebra.algebra._proof_2
0.000016    20284 quaternion_algebra.algebra._proof_3
0.000015    20285 quaternion_algebra.algebra._proof_4
0.737064    20286 quaternion_algebra.algebra._proof_5
0.000078    20287 quaternion_algebra.algebra._proof_6
0.000024    20288 quaternion_algebra.algebra
0.000014    20289 opposite.has_scalar
0.000014    20290 add_equiv.symm._proof_1
0.000014    20291 add_equiv.symm._proof_2
0.000014    20292 add_hom
0.000014    20293 add_hom.to_fun
0.000014    20294 add_hom.has_coe_to_fun
0.000014    20295 add_hom.map_add'
0.000014    20296 add_hom.map_add
0.000014    20297 add_hom.inverse._proof_1
0.000014    20298 add_hom.inverse
0.000014    20299 add_equiv.map_add'
0.000013    20300 add_equiv.to_add_hom
0.000014    20301 add_equiv.symm._proof_3
0.000014    20302 add_equiv.symm
0.000014    20303 add_equiv.apply_symm_apply
0.000019    20304 add_equiv.map_add
0.000015    20305 add_equiv.map_zero
0.000014    20306 add_equiv.to_add_monoid_hom._proof_1
0.000017    20307 add_equiv.to_add_monoid_hom
0.000017    20308 opposite.unop_op
0.000018    20309 opposite.op_unop
0.000017    20310 opposite.equiv_to_opposite
0.000015    20311 opposite.op_add_equiv._proof_1
0.000015    20312 opposite.op_add_equiv._proof_2
0.000014    20313 opposite.op_add_equiv._proof_3
0.000015    20314 opposite.op_add_equiv
0.000014    20315 ring_hom.to_opposite._proof_1
0.000014    20316 add_equiv.coe_to_add_monoid_hom
0.000014    20317 opposite.coe_op_add_equiv
0.000017    20318 opposite.op_mul
0.000017    20319 ring_hom.to_opposite._proof_2
0.000017    20320 ring_hom.to_opposite._proof_3
0.000015    20321 ring_hom.to_opposite._proof_4
0.000014    20322 ring_hom.to_opposite
0.000014    20323 opposite.algebra._proof_1
0.000014    20324 opposite.op_induction
0.000014    20325 opposite.algebra._proof_2
0.000014    20326 opposite.algebra._proof_3
0.000014    20327 opposite.algebra
0.000016    20328 alg_equiv.to_fun
0.000018    20329 alg_equiv.has_coe_to_fun
0.000017    20330 function.involutive.right_inverse
0.000015    20331 function.involutive.to_equiv
0.000014    20332 linear_equiv.of_involutive._proof_1
0.000017    20333 linear_equiv.of_involutive._proof_2
0.000017    20334 linear_equiv.of_involutive
0.000017    20335 quaternion_algebra.mk_add_mk
0.000017    20336 quaternion_algebra.conj._proof_1
0.000015    20337 quaternion_algebra.smul_re
0.000016    20338 quaternion_algebra.smul_im_i
0.000017    20339 quaternion_algebra.smul_im_j
0.000017    20340 quaternion_algebra.smul_im_k
0.000015    20341 quaternion_algebra.conj._proof_2
0.000014    20342 quaternion_algebra.mk.eta
0.000016    20343 quaternion_algebra.conj._proof_3
0.000015    20344 quaternion_algebra.conj
0.000016    20345 add_equiv.trans._proof_1
0.000016    20346 add_equiv.trans._proof_2
0.000014    20347 add_equiv.trans._proof_3
0.000016    20348 add_equiv.trans
0.000016    20349 quaternion_algebra.conj_alg_equiv._proof_1
0.000015    20350 quaternion_algebra.conj_alg_equiv._proof_2
0.000016    20351 quaternion_algebra.re_conj
0.000016    20352 quaternion_algebra.im_i_conj
0.000014    20353 quaternion_algebra.im_j_conj
0.000016    20354 quaternion_algebra.im_k_conj
0.000015    20355 quaternion_algebra.conj_mul
0.000017    20356 quaternion_algebra.conj_alg_equiv._proof_3
0.000015    20357 quaternion_algebra.conj_alg_equiv._proof_4
0.000014    20358 quaternion_algebra.coe_algebra_map
0.000016    20359 quaternion_algebra.conj_coe
0.000015    20360 opposite.algebra_map_apply
0.000017    20361 opposite.op_inj_iff
0.000015    20362 quaternion_algebra.coe_injective
0.000015    20363 quaternion_algebra.coe_inj
0.000016    20364 quaternion_algebra.conj_alg_equiv._proof_5
0.000015    20365 quaternion_algebra.conj_alg_equiv
0.000015    20366 quaternion_algebra.coe_conj_alg_equiv
0.000016    20367 pgame.cases_on
0.000015    20368 pgame.left_moves._main
0.000015    20369 pgame.left_moves._main.equations._eqn_1
0.000016    20370 prod.lattice._proof_6
0.000015    20371 equiv.trans_apply
0.000016    20372 equiv.perm.mul_apply
0.000015    20373 equiv.perm.apply_inv_self
0.000015    20374 equiv.perm.eq_inv_iff_eq
0.000016    20375 equiv.swap_mul_eq_mul_swap
0.000015    20376 nonunits
0.000015    20377 local_ring.is_local
0.000016    20378 local_ring.is_unit_one_sub_self_of_mem_nonunits
0.000015    20379 monoid_hom.cod_mrestrict._proof_1
0.000015    20380 monoid_hom.cod_mrestrict._proof_2
0.000016    20381 monoid_hom.cod_mrestrict
0.000015    20382 monoid_hom.cod_mrestrict.equations._eqn_1
0.000014    20383 multilinear_map.dom_coprod'._proof_4
0.000017    20384 alg_hom
0.000015    20385 subalgebra
0.000014    20386 subsemiring.mk'._proof_1
0.000016    20387 subsemiring.mk'._proof_2
0.000015    20388 subsemiring.mk'._proof_3
0.000017    20389 subsemiring.mk'._proof_4
0.000015    20390 subsemiring.mk'
0.000016    20391 subsemiring.cases_on
0.000015    20392 subsemiring.set_like._proof_1
0.000014    20393 subsemiring.set_like
0.000017    20394 submonoid.has_Inf._proof_1
0.000015    20395 submonoid.has_Inf._proof_2
0.000014    20396 submonoid.has_Inf
0.000017    20397 submonoid.coe_Inf
0.000015    20398 submonoid.coe_infi
0.000014    20399 subsemiring.coe_to_submonoid
0.000016    20400 subsemiring.has_Inf._proof_1
0.000015    20401 subsemiring.zero_mem'
0.000017    20402 subsemiring.add_mem'
0.460456    20403 subsemiring.to_add_submonoid
0.000076    20404 add_submonoid.coe_Inf
0.000024    20405 add_submonoid.coe_infi
0.000015    20406 subsemiring.coe_to_add_submonoid
0.000014    20407 subsemiring.has_Inf._proof_2
0.000014    20408 subsemiring.has_Inf
0.000015    20409 subsemiring.closure
0.000014    20410 algebra.adjoin._proof_1
0.000014    20411 algebra.adjoin._proof_2
0.000014    20412 algebra.adjoin._proof_3
0.000014    20413 algebra.adjoin._proof_4
0.000014    20414 subsemiring.mem_Inf
0.000014    20415 subsemiring.mem_closure
0.000014    20416 subsemiring.subset_closure
0.000014    20417 algebra.adjoin._proof_5
0.000014    20418 algebra.adjoin
0.000019    20419 subalgebra.fg
0.000018    20420 subalgebra.carrier
0.000017    20421 subalgebra.cases_on
0.000015    20422 subalgebra.set_like._proof_1
0.000014    20423 subalgebra.set_like
0.000014    20424 subalgebra.one_mem'
0.000016    20425 subalgebra.mul_mem'
0.000017    20426 subalgebra.zero_mem'
0.000017    20427 subalgebra.add_mem'
0.000017    20428 subalgebra.to_subsemiring
0.000017    20429 subsemiring.complete_lattice._proof_1
0.000015    20430 subsemiring.complete_lattice._proof_2
0.000016    20431 subsemiring.complete_lattice._proof_3
0.000017    20432 subsemiring.complete_lattice._proof_4
0.000017    20433 subsemiring.complete_lattice._proof_5
0.000018    20434 subsemiring.complete_lattice._proof_6
0.000017    20435 subsemiring.complete_lattice._proof_7
0.000017    20436 subsemiring.complete_lattice._proof_8
0.000017    20437 submonoid.has_inf._proof_1
0.000017    20438 submonoid.has_inf._match_1
0.000016    20439 submonoid.has_inf._match_2
0.000016    20440 submonoid.has_inf._proof_2
0.000017    20441 submonoid.has_inf
0.000015    20442 subsemiring.has_inf._proof_1
0.000014    20443 subsemiring.has_inf._proof_2
0.000017    20444 subsemiring.has_inf._proof_3
0.000015    20445 subsemiring.has_inf._proof_4
0.000016    20446 subsemiring.has_inf
0.000015    20447 subsemiring.complete_lattice._proof_9
0.000016    20448 subsemiring.complete_lattice._proof_10
0.000015    20449 subsemiring.complete_lattice._proof_11
0.000016    20450 subsemiring.has_top._proof_1
0.000015    20451 subsemiring.has_top._proof_2
0.000016    20452 subsemiring.has_top._proof_3
0.000015    20453 subsemiring.has_top._proof_4
0.000016    20454 subsemiring.has_top
0.000015    20455 subsemiring.complete_lattice._proof_12
0.000015    20456 subsemiring.map._proof_1
0.000016    20457 subsemiring.map._proof_2
0.000015    20458 subsemiring.map._proof_3
0.000014    20459 subsemiring.map._proof_4
0.000016    20460 subsemiring.map
0.000015    20461 ring_hom.srange
0.000017    20462 subsemiring.has_bot
0.000014    20463 add_submonoid.nsmul_mem
0.000016    20464 subsemiring.nsmul_mem
0.000015    20465 subsemiring.one_mem
0.000017    20466 subsemiring.coe_nat_mem
0.000014    20467 subsemiring.complete_lattice._match_1
0.000017    20468 ring_hom.srange.equations._eqn_1
0.000015    20469 subsemiring.mem_map
0.000016    20470 subsemiring.mem_top
0.000015    20471 ring_hom.mem_srange
0.000016    20472 subsemiring.mem_bot
0.000015    20473 subsemiring.complete_lattice._proof_13
0.000016    20474 subsemiring.complete_lattice._proof_14
0.000017    20475 subsemiring.complete_lattice._proof_15
0.000015    20476 subsemiring.complete_lattice._proof_16
0.000016    20477 subsemiring.complete_lattice._proof_17
0.000015    20478 subsemiring.complete_lattice
0.000016    20479 subsemiring.closure_le
0.000015    20480 subalgebra.algebra_map_mem'
0.000014    20481 subalgebra.algebra_map_mem
0.000017    20482 subalgebra.range_subset
0.000015    20483 algebra.gc
0.000014    20484 algebra.gi._proof_1
0.000017    20485 algebra.gi._proof_2
0.000015    20486 algebra.gi
0.000014    20487 algebra.subalgebra.complete_lattice
0.000017    20488 algebra.finite_type
0.000027    20489 ring_hom.finite_type
0.000016    20490 alg_hom.to_fun
0.000015    20491 alg_hom.map_one'
0.000018    20492 alg_hom.map_mul'
0.000015    20493 alg_hom.map_zero'
0.000018    20494 alg_hom.map_add'
0.000015    20495 alg_hom.to_ring_hom
0.000014    20496 alg_hom.finite_type
0.000016    20497 times_cont_diff_within_at.times_cont_diff_on
0.000015    20498 tendsto_pure_nhds
0.000014    20499 continuous_within_at_singleton
0.000016    20500 continuous_within_at_insert_self
0.000015    20501 continuous_within_at.insert_self
0.000017    20502 times_cont_diff_on.times_cont_diff_within_at
0.000015    20503 times_cont_diff_within_at.comp
0.000016    20504 times_cont_diff_at.times_cont_diff_within_at
0.000015    20505 times_cont_diff.comp_times_cont_diff_within_at
0.000016    20506 times_cont_diff.comp_times_cont_diff_at
0.000016    20507 nhds_bot_order
0.000014    20508 add_submonoid.copy._proof_1
0.000016    20509 add_submonoid.copy._proof_2
0.000015    20510 add_submonoid.copy
0.000017    20511 add_subgroup.coe_to_add_submonoid
0.000015    20512 add_subgroup.has_Inf._proof_1
0.000014    20513 add_subgroup.has_Inf._proof_2
0.000018    20514 add_subgroup.has_Inf._proof_3
0.000015    20515 add_subgroup.has_Inf._proof_4
0.000017    20516 add_subgroup.has_Inf
0.152993    20517 add_subgroup.complete_lattice._proof_1
0.000074    20518 add_subgroup.complete_lattice._proof_2
0.000024    20519 add_subgroup.complete_lattice._proof_3
0.000014    20520 add_subgroup.complete_lattice._proof_4
0.000015    20521 add_subgroup.complete_lattice._proof_5
0.000014    20522 add_subgroup.complete_lattice._proof_6
0.000014    20523 add_subgroup.complete_lattice._proof_7
0.000014    20524 add_subgroup.complete_lattice._proof_8
0.000014    20525 add_subgroup.has_inf._proof_1
0.000014    20526 add_subgroup.has_inf._proof_2
0.000014    20527 add_subgroup.has_inf._match_1
0.000014    20528 add_subgroup.has_inf._proof_3
0.000015    20529 add_subgroup.has_inf
0.000014    20530 add_subgroup.complete_lattice._proof_9
0.000015    20531 add_subgroup.complete_lattice._proof_10
0.000014    20532 add_subgroup.complete_lattice._proof_11
0.000017    20533 add_subgroup.has_top._proof_1
0.000017    20534 add_subgroup.has_top._proof_2
0.000015    20535 add_subgroup.has_top._proof_3
0.000017    20536 add_subgroup.has_top
0.000016    20537 add_subgroup.mem_top
0.000015    20538 add_subgroup.complete_lattice._proof_12
0.000016    20539 add_subgroup.mem_bot
0.000018    20540 add_subgroup.zero_mem
0.000017    20541 add_subgroup.complete_lattice._proof_13
0.000017    20542 add_subgroup.complete_lattice._proof_14
0.000017    20543 add_subgroup.complete_lattice._proof_15
0.000015    20544 add_subgroup.complete_lattice._proof_16
0.000016    20545 add_subgroup.complete_lattice._proof_17
0.000019    20546 add_subgroup.complete_lattice
0.000017    20547 preorder_hom
0.000017    20548 omega_complete_partial_order.chain
0.000015    20549 preorder_hom.to_fun
0.000014    20550 preorder_hom.has_coe_to_fun
0.000016    20551 omega_complete_partial_order.chain.has_coe_to_fun
0.000015    20552 omega_complete_partial_order
0.000017    20553 omega_complete_partial_order.to_partial_order
0.000014    20554 omega_complete_partial_order.ωSup
0.000016    20555 preorder_hom.monotone'
0.000015    20556 preorder_hom.monotone
0.000017    20557 preorder_hom.comp._proof_1
0.000015    20558 preorder_hom.comp
0.000017    20559 omega_complete_partial_order.chain.map
0.000015    20560 preorder_hom.prod.fst._match_1
0.000015    20561 preorder_hom.prod.fst._match_2
0.000016    20562 preorder_hom.prod.fst._match_3
0.000015    20563 preorder_hom.prod.fst._proof_1
0.000016    20564 preorder_hom.prod.fst
0.000015    20565 preorder_hom.prod.snd._match_1
0.000016    20566 preorder_hom.prod.snd._match_2
0.000015    20567 preorder_hom.prod.snd._match_3
0.000015    20568 preorder_hom.prod.snd._proof_1
0.000016    20569 preorder_hom.prod.snd
0.000016    20570 prod.ωSup
0.000016    20571 omega_complete_partial_order.le_ωSup
0.000015    20572 prod.omega_complete_partial_order._proof_1
0.000014    20573 omega_complete_partial_order.ωSup_le
0.000017    20574 prod.omega_complete_partial_order._match_1
0.000015    20575 prod.omega_complete_partial_order._proof_2
0.000015    20576 prod.omega_complete_partial_order
0.000016    20577 compact_space
0.000015    20578 bounded_continuous_function
0.000014    20579 metric.bounded_range_iff
0.000016    20580 compact_space.compact_univ
0.000015    20581 compact_univ
0.000015    20582 compact_range
0.000016    20583 bounded_continuous_function.mk_of_compact._proof_1
0.000015    20584 bounded_continuous_function.mk_of_compact
0.000014    20585 bounded_continuous_function.to_continuous_map
0.000017    20586 bounded_continuous_function.forget_boundedness
0.000015    20587 continuous_map.equiv_bounded_of_compact._proof_1
0.000014    20588 bounded_continuous_function.has_coe_to_fun
0.000016    20589 bounded_continuous_function.cases_on
0.000015    20590 bounded_continuous_function.ext
0.000017    20591 continuous_map.equiv_bounded_of_compact._proof_2
0.000015    20592 continuous_map.equiv_bounded_of_compact
0.000014    20593 continuous_map.metric_space._proof_1
0.000014    20594 bounded_continuous_function.has_dist
0.000014    20595 bounded_continuous_function.bounded'
0.000014    20596 bounded_continuous_function.bounded
0.000014    20597 dist_triangle4
0.000017    20598 dist_triangle4_left
0.000015    20599 bounded_continuous_function.dist_set_exists
0.000016    20600 bounded_continuous_function.dist_coe_le_dist
0.000016    20601 bounded_continuous_function.dist_le
0.000014    20602 _private.1298497857.dist_nonneg'
0.000016    20603 bounded_continuous_function.metric_space._proof_1
0.000015    20604 bounded_continuous_function.dist_eq
0.000016    20605 bounded_continuous_function.metric_space._proof_2
0.000015    20606 bounded_continuous_function.metric_space._proof_3
0.000017    20607 bounded_continuous_function.metric_space._proof_4
0.000015    20608 bounded_continuous_function.metric_space._proof_5
0.000017    20609 bounded_continuous_function.metric_space._proof_6
0.000015    20610 bounded_continuous_function.metric_space._proof_7
34.599374    20611 bounded_continuous_function.metric_space._proof_8
0.000077    20612 bounded_continuous_function.metric_space._proof_9
0.000024    20613 bounded_continuous_function.metric_space
0.000015    20614 continuous_map.metric_space
0.000015    20615 continuous_map.to_fun_eq_coe
0.000014    20616 continuous_map.const_coe
0.000014    20617 bounded_continuous_function.const._proof_1
0.000014    20618 bounded_continuous_function.const
0.000014    20619 bounded_continuous_function.has_zero
0.000015    20620 bounded_continuous_function.has_norm
0.000014    20621 norm_sub_le
0.000014    20622 dist_le_norm_add_norm
0.000014    20623 bounded_continuous_function.dist_le_two_norm'
0.000014    20624 bounded_continuous_function.of_normed_group._proof_1
0.000014    20625 bounded_continuous_function.of_normed_group
0.000014    20626 bounded_continuous_function.continuous
0.000015    20627 bounded_continuous_function.has_add._proof_1
0.000014    20628 bounded_continuous_function.coe_zero
0.000014    20629 bounded_continuous_function.norm_coe_le_norm
0.000014    20630 bounded_continuous_function.has_add._proof_2
0.000014    20631 bounded_continuous_function.has_add
0.000015    20632 bounded_continuous_function.coe_add
0.000014    20633 bounded_continuous_function.add_comm_group._proof_1
0.000014    20634 bounded_continuous_function.add_comm_group._proof_2
0.000014    20635 bounded_continuous_function.add_comm_group._proof_3
0.000015    20636 bounded_continuous_function.add_comm_group._proof_4
0.000014    20637 bounded_continuous_function.add_comm_group._proof_5
0.000014    20638 bounded_continuous_function.add_comm_group._proof_6
0.000018    20639 bounded_continuous_function.add_comm_group._proof_7
0.000017    20640 bounded_continuous_function.has_neg._proof_1
0.000017    20641 bounded_continuous_function.has_neg._proof_2
0.000015    20642 bounded_continuous_function.has_neg
0.000014    20643 bounded_continuous_function.has_sub._proof_1
0.000017    20644 bounded_continuous_function.has_sub._proof_2
0.000017    20645 bounded_continuous_function.has_sub
0.000017    20646 bounded_continuous_function.add_comm_group._proof_8
0.000015    20647 bounded_continuous_function.coe_neg
0.000017    20648 bounded_continuous_function.add_comm_group._proof_9
0.000017    20649 pi.add_comm_semigroup._proof_1
0.000017    20650 pi.add_comm_semigroup._proof_2
0.000017    20651 pi.add_comm_semigroup
0.000017    20652 bounded_continuous_function.add_comm_group._proof_10
0.000017    20653 bounded_continuous_function.add_comm_group
0.000017    20654 bounded_continuous_function.norm_def
0.000016    20655 bounded_continuous_function.norm_eq
0.000017    20656 bounded_continuous_function.sub_apply
0.000017    20657 bounded_continuous_function.normed_group._proof_1
0.000018    20658 bounded_continuous_function.normed_group
0.000017    20659 continuous_map.isometric_bounded_of_compact._proof_1
0.000018    20660 continuous_map.isometric_bounded_of_compact
0.000016    20661 continuous_map.isometric_bounded_of_compact_to_equiv
0.000014    20662 intermediate_field
0.000014    20663 intermediate_field.carrier
0.000016    20664 intermediate_field.cases_on
0.000015    20665 intermediate_field.set_like._proof_1
0.000017    20666 intermediate_field.set_like
0.000015    20667 function.injective.ring._proof_1
0.000016    20668 function.injective.ring._proof_2
0.000015    20669 function.injective.ring._proof_3
0.000016    20670 function.injective.ring._proof_4
0.000015    20671 function.injective.ring._proof_5
0.000016    20672 function.injective.ring._proof_6
0.000015    20673 function.injective.ring._proof_7
0.000015    20674 function.injective.ring._proof_8
0.000016    20675 function.injective.ring._proof_9
0.000015    20676 function.injective.ring._proof_10
0.000016    20677 function.injective.ring._proof_11
0.000015    20678 function.injective.ring._proof_12
0.000016    20679 function.injective.ring._proof_13
0.000015    20680 function.injective.ring._proof_14
0.000016    20681 function.injective.ring._proof_15
0.000015    20682 function.injective.ring
0.000015    20683 function.injective.comm_ring._proof_1
0.000016    20684 function.injective.comm_ring._proof_2
0.000015    20685 function.injective.comm_ring._proof_3
0.000016    20686 function.injective.comm_ring._proof_4
0.000015    20687 function.injective.comm_ring._proof_5
0.000016    20688 function.injective.comm_ring._proof_6
0.000015    20689 function.injective.comm_ring._proof_7
0.000016    20690 function.injective.comm_ring._proof_8
0.000015    20691 function.injective.comm_ring._proof_9
0.000014    20692 function.injective.comm_ring._proof_10
0.000017    20693 function.injective.comm_ring._proof_11
0.000015    20694 function.injective.comm_ring._proof_12
0.000015    20695 function.injective.comm_ring._proof_13
0.000016    20696 function.injective.comm_ring._proof_14
2.244525    20697 function.injective.comm_ring._proof_15
0.000075    20698 function.injective.comm_ring._proof_16
0.000026    20699 function.injective.comm_ring
0.000014    20700 function.injective.field._proof_1
0.000014    20701 function.injective.field._proof_2
0.000015    20702 function.injective.field._proof_3
0.000014    20703 function.injective.field._proof_4
0.000014    20704 function.injective.field._proof_5
0.000014    20705 function.injective.field._proof_6
0.000014    20706 function.injective.field._proof_7
0.000014    20707 function.injective.field._proof_8
0.000014    20708 function.injective.field._proof_9
0.000014    20709 function.injective.field._proof_10
0.000015    20710 function.injective.field._proof_11
0.000018    20711 function.injective.field._proof_12
0.000017    20712 function.injective.field._proof_13
0.000018    20713 function.injective.field._proof_14
0.000015    20714 function.injective.field._proof_15
0.000016    20715 function.injective.field._proof_16
0.000017    20716 function.injective.field._proof_17
0.000017    20717 function.injective.field._proof_18
0.000017    20718 function.injective.field._proof_19
0.000017    20719 function.injective.field._proof_20
0.000017    20720 function.injective.field
0.000016    20721 subring.cases_on
0.000017    20722 subring.set_like._proof_1
0.000017    20723 subring.set_like
0.000017    20724 subring.to_ring._proof_1
0.000017    20725 subring.to_ring._proof_2
0.000015    20726 subring.to_ring._proof_3
0.000014    20727 subring.to_ring._proof_4
0.000016    20728 subring.to_ring._proof_5
0.000015    20729 subring.to_ring._proof_6
0.000015    20730 subring.to_ring._proof_7
0.000016    20731 subring.to_ring._proof_8
0.000015    20732 subring.to_ring._proof_9
0.000016    20733 subring.to_ring._proof_10
0.000015    20734 subring.to_ring._proof_11
0.000016    20735 subring.to_ring._proof_12
0.000016    20736 subring.to_ring._proof_13
0.000016    20737 subring.to_ring._proof_14
0.000015    20738 subring.to_ring._proof_15
0.000016    20739 subring.to_ring
0.000015    20740 subfield.ring
0.000016    20741 subfield.has_inv._proof_1
0.000014    20742 subfield.has_inv
0.000017    20743 subfield.mul_mem
0.000014    20744 subfield.div_mem
0.000015    20745 subfield.has_div._proof_1
0.000014    20746 subfield.has_div
0.000014    20747 subfield.to_field._proof_1
0.000016    20748 subfield.to_field._proof_2
0.000015    20749 subfield.to_field._proof_3
0.000017    20750 subfield.to_field._proof_4
0.000014    20751 subfield.to_field._proof_5
0.000017    20752 subfield.to_field._proof_6
0.000014    20753 subfield.to_field._proof_7
0.000017    20754 subfield.to_field._proof_8
0.000015    20755 subfield.to_field._proof_9
0.000016    20756 subfield.to_field
0.000015    20757 intermediate_field.one_mem'
0.000016    20758 intermediate_field.mul_mem'
0.000015    20759 intermediate_field.zero_mem'
0.000016    20760 intermediate_field.add_mem'
0.000015    20761 intermediate_field.neg_mem'
0.000016    20762 intermediate_field.inv_mem'
0.000015    20763 intermediate_field.to_subfield
0.000016    20764 intermediate_field.to_field
0.000017    20765 subsemiring.to_semiring._proof_1
0.000015    20766 subsemiring.to_semiring._proof_2
0.000016    20767 subsemiring.to_semiring._proof_3
0.000015    20768 subsemiring.to_semiring._proof_4
0.000016    20769 subsemiring.to_semiring._proof_5
0.000015    20770 subsemiring.to_semiring._proof_6
0.000016    20771 subsemiring.to_semiring._proof_7
0.000015    20772 subsemiring.to_semiring._proof_8
0.000015    20773 subsemiring.to_semiring._proof_9
0.000016    20774 subsemiring.to_semiring._proof_10
0.000015    20775 subsemiring.to_semiring._proof_11
0.000016    20776 subsemiring.to_semiring._proof_12
0.000015    20777 subsemiring.to_semiring._proof_13
0.000015    20778 subsemiring.to_semiring._proof_14
0.000016    20779 subsemiring.to_semiring._proof_15
0.000015    20780 subsemiring.to_semiring
0.000016    20781 subalgebra.to_semiring
0.000014    20782 subsemiring.mul_mem
0.000016    20783 subalgebra.mul_mem
0.000015    20784 subalgebra.smul_mem
0.000016    20785 subalgebra.algebra._proof_1
0.000015    20786 ring_hom.cod_srestrict._proof_1
0.000017    20787 ring_hom.cod_srestrict._proof_2
0.000015    20788 add_submonoid.to_add_zero_class._proof_1
0.000016    20789 add_submonoid.to_add_zero_class._proof_2
0.000015    20790 add_submonoid.to_add_zero_class._proof_3
0.000016    20791 add_submonoid.to_add_zero_class
0.000015    20792 add_monoid_hom.cod_mrestrict._proof_1
0.000016    20793 add_monoid_hom.cod_mrestrict._proof_2
0.000015    20794 add_monoid_hom.cod_mrestrict
0.000016    20795 ring_hom.cod_srestrict._proof_3
0.000015    20796 ring_hom.cod_srestrict._proof_4
0.000016    20797 ring_hom.cod_srestrict
0.000015    20798 subalgebra.range_le
0.000016    20799 subalgebra.algebra._proof_2
0.000016    20800 subalgebra.algebra._proof_3
0.000014    20801 subalgebra.algebra._proof_4
0.000016    20802 subalgebra.algebra._proof_5
0.000015    20803 subalgebra.algebra._proof_6
0.000016    20804 subalgebra.algebra._proof_7
0.468351    20805 subalgebra.algebra._proof_8
0.000077    20806 subalgebra.algebra
0.000024    20807 intermediate_field.algebra_map_mem'
0.000015    20808 intermediate_field.to_subalgebra
0.000014    20809 intermediate_field.algebra
0.000014    20810 intermediate_field.lifts
0.000014    20811 subring.mk'._proof_1
0.000014    20812 subring.mk'._proof_2
0.000014    20813 subring.mk'._proof_3
0.000014    20814 add_subgroup.add_mem
0.000014    20815 subring.mk'._proof_4
0.000014    20816 subring.mk'._proof_5
0.000014    20817 subring.mk'
0.000014    20818 subring.coe_to_submonoid
0.000014    20819 subring.has_Inf._proof_1
0.000014    20820 add_subgroup.coe_Inf
0.000016    20821 add_subgroup.coe_infi
0.000018    20822 subring.coe_to_add_subgroup
0.000017    20823 subring.has_Inf._proof_2
0.000015    20824 subring.has_Inf
0.000016    20825 subring.closure
0.000017    20826 subring.one_mem
0.000017    20827 subfield.closure._proof_1
0.000017    20828 subring.mul_mem
0.000017    20829 subfield.closure._proof_2
0.000017    20830 subring.zero_mem
0.000017    20831 subfield.closure._proof_3
0.000017    20832 subring.add_mem
0.000016    20833 subfield.closure._proof_4
0.000016    20834 subring.neg_m