gistfile1.txt

0.032199        1 eq
0.000107        2 false
0.000025        3 not
0.000015        4 decidable
0.000014        5 decidable_rel
0.000015        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 semigroup
0.000014       12 semigroup.mul
0.000014       13 semigroup.to_has_mul
0.000014       14 has_zero
0.000019       15 has_zero.zero
0.000017       16 list
0.000017       17 nat
0.000014       18 or
0.000016       19 has_lt
0.000018       20 has_lt.lt
0.000015       21 nat.less_than_or_equal
0.000017       22 nat.lt
0.000018       23 nat.has_lt
0.000016       24 has_add
0.000017       25 has_add.add
0.000014       26 bit0
0.000017       27 punit
0.000017       28 pprod
0.000015       29 nat.below
0.000016       30 pprod.fst
0.000018       31 nat.brec_on
0.000015       32 nat.cases_on
0.000017       33 id_rhs
0.000016       34 nat.add._main
0.000015       35 nat.add
0.000016       36 nat.has_add
0.000015       37 bit1
0.000016       38 nat.has_one
0.000014       39 and
0.000016       40 is_valid_char
0.000015       41 char
0.000016       42 string_imp
0.000017       43 string
0.000014       44 subtype
0.000016       45 fin
0.000015       46 unsigned_sz
0.000016       47 unsigned
0.000015       48 name
0.000016       49 auto_param
0.000014       50 has_div
0.000017       51 has_div.div
0.000014       52 mul_one_class
0.000016       53 mul_one_class.mul
0.000015       54 mul_one_class.to_has_mul
0.000016       55 monoid
0.000015       56 monoid.one
0.000014       57 monoid.mul
0.000017       58 monoid.one_mul
0.000014       59 monoid.mul_one
0.000016       60 monoid.to_mul_one_class
0.000015       61 has_inv
0.000015       62 has_inv.inv
0.000016       63 string_imp.cases_on
0.000015       64 has_append
0.000016       65 has_append.append
0.000015       66 list.below
0.000014       67 list.brec_on
0.000016       68 list.cases_on
0.000015       69 list.append._main
0.000016       70 list.append
0.000015       71 list.has_append
0.000016       72 string.push._main
0.000014       73 string.push
0.000016       74 string.str
0.000015       75 string.empty
0.000016       76 decidable.rec_on
0.000015       77 dite
0.000016       78 or.decidable
0.000014       79 has_le
0.000017       80 has_le.le
0.000015       81 nat.has_le
0.000015       82 nat.has_zero
0.000016       83 nat.le_refl
0.000014       84 nat.zero_le
0.000017       85 nat.less_than_or_equal.dcases_on
0.000015       86 heq
0.000014       87 nat.no_confusion_type
0.000016       88 nat.no_confusion
0.000015       89 nat.not_succ_le_zero
0.000016       90 decidable.cases_on
0.000015       91 nat.pred._main
0.000016       92 nat.pred
0.000014       93 nat.less_than_or_equal.rec_on
0.000016       94 nat.pred_le_pred
0.000015       95 nat.le_of_succ_le_succ
0.000015       96 nat.succ_le_succ
0.000016       97 nat.decidable_le._match_1
0.000015       98 nat.decidable_le._main
0.000014       99 nat.decidable_le
0.000016      100 nat.decidable_lt
0.000015      101 and.right
0.000016      102 and.decidable._proof_1
0.000015      103 and.left
0.000016      104 and.decidable._proof_2
0.000014      105 and.decidable
0.000016      106 ne
0.000015      107 absurd
0.000016      108 rfl
0.000014      109 eq.subst
0.000016      110 trans_rel_left
0.000015      111 nat.zero_lt_succ
0.000016      112 eq.symm
0.000015      113 congr
0.000016      114 congr_arg
0.000015      115 nat.succ_add
0.000015      116 nat.bit0_succ_eq
0.000015      117 nat.zero_lt_bit0
0.000016      118 nat.bit0_ne_zero
0.000015      119 nat.bit1_ne_zero
0.000015      120 char.zero_lt_d800
0.000016      121 char.of_nat._proof_1
0.000014      122 char.of_nat
0.000017      123 Exists
0.000014      124 div_inv_monoid
0.000016      125 div_inv_monoid.inv
0.000015      126 div_inv_monoid.to_has_inv
0.000016      127 mul_zero_class
0.000014      128 mul_zero_class.zero
0.000016      129 mul_zero_class.to_has_zero
0.000016      130 monoid_with_zero
0.000014      131 monoid_with_zero.mul
0.000016      132 monoid_with_zero.zero
0.000015      133 monoid_with_zero.zero_mul
0.000015      134 monoid_with_zero.mul_zero
0.000014      135 monoid_with_zero.to_mul_zero_class
0.000017      136 mul_zero_class.mul
0.000014      137 mul_zero_class.to_has_mul
0.000017      138 mul_one_class.one
0.000014      139 mul_one_class.to_has_one
0.000017      140 monoid_with_zero.mul_assoc
0.000014      141 monoid_with_zero.one
0.000016      142 monoid_with_zero.one_mul
0.000015      143 monoid_with_zero.mul_one
0.000016      144 monoid_with_zero.to_monoid
0.000015      145 comm_group_with_zero
0.000016      146 group_with_zero
0.000014      147 group_with_zero.mul
0.000017      148 group_with_zero.mul_assoc
0.000014      149 group_with_zero.one
0.000017      150 group_with_zero.one_mul
0.000014      151 group_with_zero.mul_one
0.000016      152 group_with_zero.zero
0.000015      153 group_with_zero.zero_mul
0.000016      154 group_with_zero.mul_zero
0.000014      155 group_with_zero.to_monoid_with_zero
0.000016      156 comm_group_with_zero.mul
0.000015      157 comm_group_with_zero.mul_assoc
0.000016      158 comm_group_with_zero.one
0.000017      159 comm_group_with_zero.one_mul
0.000014      160 comm_group_with_zero.mul_one
0.000017      161 comm_group_with_zero.zero
0.000015      162 comm_group_with_zero.zero_mul
0.000014      163 comm_group_with_zero.mul_zero
0.000016      164 comm_group_with_zero.inv
0.000015      165 comm_group_with_zero.div
0.000016      166 comm_group_with_zero.div_eq_mul_inv
0.068459      167 comm_group_with_zero.exists_pair_ne
0.000043      168 comm_group_with_zero.inv_zero
0.000032      169 comm_group_with_zero.mul_inv_cancel
0.000027      170 comm_group_with_zero.to_group_with_zero
0.000027      171 has_lift_t
0.000019      172 has_lift_t.lift
0.000015      173 lift_t
0.000014      174 coe
0.000014      175 units
0.000014      176 comm_monoid_with_zero
0.000015      177 comm_monoid_with_zero.mul
0.000014      178 comm_monoid_with_zero.mul_assoc
0.000014      179 comm_monoid_with_zero.one
0.000018      180 comm_monoid_with_zero.one_mul
0.000014      181 comm_monoid_with_zero.mul_one
0.000017      182 comm_monoid_with_zero.zero
0.000016      183 comm_monoid_with_zero.zero_mul
0.000017      184 comm_monoid_with_zero.mul_zero
0.000015      185 comm_monoid_with_zero.to_monoid_with_zero
0.000017      186 comm_cancel_monoid_with_zero
0.000017      187 comm_cancel_monoid_with_zero.mul
0.000014      188 comm_cancel_monoid_with_zero.mul_assoc
0.000017      189 comm_cancel_monoid_with_zero.one
0.000017      190 comm_cancel_monoid_with_zero.one_mul
0.000015      191 comm_cancel_monoid_with_zero.mul_one
0.000014      192 comm_cancel_monoid_with_zero.mul_comm
0.000014      193 comm_cancel_monoid_with_zero.zero
0.000014      194 comm_cancel_monoid_with_zero.zero_mul
0.000017      195 comm_cancel_monoid_with_zero.mul_zero
0.000017      196 comm_cancel_monoid_with_zero.to_comm_monoid_with_zero
0.000015      197 cancel_monoid_with_zero
0.000016      198 cancel_monoid_with_zero.mul
0.000015      199 eq.rec_on
0.000014      200 eq.mpr._proof_1
0.000016      201 eq.mpr
0.000017      202 group_with_zero.inv
0.000016      203 group_with_zero.div
0.000015      204 group_with_zero.div_eq_mul_inv
0.000016      205 group_with_zero.to_div_inv_monoid
0.000015      206 id
0.000014      207 eq.trans
0.000017      208 monoid.mul_assoc
0.000014      209 monoid.to_semigroup
0.000017      210 semigroup.mul_assoc
0.000015      211 mul_assoc
0.000014      212 true
0.000017      213 group_with_zero.mul_inv_cancel
0.000015      214 mul_inv_cancel
0.000014      215 iff
0.000017      216 iff.mpr
0.000014      217 iff.refl
0.000016      218 ne.def
0.000016      219 propext
0.000014      220 iff_false_intro
0.000016      221 trivial
0.000016      222 iff_true_intro
0.000014      223 not_false
0.000016      224 not_false_iff
0.000015      225 mul_one_class.mul_one
0.000016      226 mul_one
0.000014      227 eq_self_iff_true
0.000017      228 mul_inv_cancel_right'
0.000014      229 eq.mp
0.000016      230 mul_zero_class.mul_zero
0.000015      231 mul_zero
0.000016      232 nontrivial
0.000014      233 Exists.dcases_on
0.000016      234 nontrivial.exists_pair_ne
0.000015      235 exists_pair_ne
0.000016      236 mul_one_class.one_mul
0.000015      237 one_mul
0.000016      238 mul_zero_class.zero_mul
0.000015      239 zero_mul
0.000015      240 zero_ne_one
0.000015      241 group_with_zero.exists_pair_ne
0.000016      242 group_with_zero.to_nontrivial
0.000016      243 inv_ne_zero
0.000014      244 inv_mul_cancel
0.000016      245 inv_mul_cancel_left'
0.000015      246 group_with_zero.cancel_monoid_with_zero._proof_1
0.000016      247 group_with_zero.cancel_monoid_with_zero._proof_2
0.000015      248 group_with_zero.cancel_monoid_with_zero
0.000014      249 cancel_monoid_with_zero.mul_assoc
0.000016      250 comm_group_with_zero.comm_cancel_monoid_with_zero._proof_1
0.000015      251 cancel_monoid_with_zero.one
0.000017      252 cancel_monoid_with_zero.one_mul
0.000014      253 comm_group_with_zero.comm_cancel_monoid_with_zero._proof_2
0.000017      254 cancel_monoid_with_zero.mul_one
0.000014      255 comm_group_with_zero.comm_cancel_monoid_with_zero._proof_3
0.000017      256 comm_group_with_zero.mul_comm
0.000014      257 comm_group_with_zero.to_comm_monoid_with_zero
0.000016      258 comm_monoid_with_zero.mul_comm
0.000015      259 comm_group_with_zero.comm_cancel_monoid_with_zero._proof_4
0.000016      260 cancel_monoid_with_zero.zero
0.000014      261 cancel_monoid_with_zero.zero_mul
0.000017      262 comm_group_with_zero.comm_cancel_monoid_with_zero._proof_5
0.000015      263 cancel_monoid_with_zero.mul_zero
0.000016      264 comm_group_with_zero.comm_cancel_monoid_with_zero._proof_6
0.000015      265 cancel_monoid_with_zero.mul_left_cancel_of_ne_zero
0.000016      266 comm_group_with_zero.comm_cancel_monoid_with_zero._proof_7
0.000015      267 cancel_monoid_with_zero.mul_right_cancel_of_ne_zero
0.000016      268 comm_group_with_zero.comm_cancel_monoid_with_zero._proof_8
0.000015      269 comm_group_with_zero.comm_cancel_monoid_with_zero
0.000016      270 has_coe_t
0.000014      271 has_coe_t.coe
0.000016      272 coe_t
0.000015      273 coe_to_lift
0.000016      274 has_coe
0.000015      275 has_coe.coe
0.000016      276 coe_b
0.000015      277 coe_base
0.000015      278 units.val
0.000016      279 units.has_coe
0.000014      280 div_inv_monoid.mul
0.000017      281 div_inv_monoid.mul_assoc
0.000015      282 div_inv_monoid.one
0.000016      283 div_inv_monoid.one_mul
0.000014      284 div_inv_monoid.mul_one
0.000016      285 div_inv_monoid.to_monoid
0.000015      286 group
0.000016      287 group.mul
0.114877      288 group.mul_assoc
0.000058      289 group.one
0.000024      290 group.one_mul
0.000014      291 group.mul_one
0.000014      292 group.inv
0.000015      293 group.div
0.000015      294 group.div_eq_mul_inv
0.000014      295 group.to_div_inv_monoid
0.000015      296 units.inv
0.000014      297 units.val_inv
0.000014      298 units.group._proof_1
0.000014      299 units.inv_val
0.000018      300 units.group._proof_2
0.000017      301 function.injective
0.000018      302 units.cases_on
0.000016      303 eq.drec
0.000015      304 units.ext
0.000017      305 units.group._proof_3
0.000015      306 units.group._proof_4
0.000016      307 units.group._proof_5
0.000016      308 units.group._proof_6
0.000015      309 units.group._proof_7
0.000016      310 div_inv_monoid.div._default
0.000017      311 units.group._proof_8
0.000016      312 units.group._proof_9
0.000017      313 units.group._proof_10
0.000015      314 units.group._proof_11
0.000015      315 units.group._proof_12
0.000017      316 units.group
0.000014      317 normalization_monoid
0.000016      318 normalization_monoid.norm_unit
0.000014      319 comm_group_with_zero.normalization_monoid._proof_1
0.000016      320 comm_group_with_zero.normalization_monoid._proof_2
0.000015      321 units.mk0
0.000016      322 dif_pos
0.000015      323 comm_group_with_zero.normalization_monoid._proof_3
0.000016      324 iff.mp
0.000014      325 function.injective.eq_iff
0.000016      326 units.eq_iff
0.000015      327 cancel_monoid_with_zero.to_monoid_with_zero
0.000016      328 comm_cancel_monoid_with_zero.mul_left_cancel_of_ne_zero
0.000015      329 comm_cancel_monoid_with_zero.mul_right_cancel_of_ne_zero
0.000014      330 comm_cancel_monoid_with_zero.to_cancel_monoid_with_zero
0.000016      331 iff.elim_right
0.000017      332 iff.elim_left
0.000015      333 not_iff_not_of_iff
0.000016      334 iff.trans
0.000014      335 no_zero_divisors
0.000016      336 no_zero_divisors.eq_zero_or_eq_zero_of_mul_eq_zero
0.000015      337 or.elim
0.000016      338 mul_eq_zero_of_left
0.000015      339 mul_eq_zero_of_right
0.000016      340 mul_eq_zero
0.000014      341 decidable.by_contradiction
0.000016      342 nonempty
0.000015      343 classical.choice
0.000016      344 subtype.val
0.000014      345 classical.indefinite_description._match_1
0.000016      346 classical.indefinite_description
0.000015      347 classical.some
0.000016      348 _private.811303905.U
0.000015      349 _private.29268479.exU
0.000016      350 _private.2710871855.u
0.000014      351 _private.3867973571.V
0.000016      352 _private.760126093.exV
0.000015      353 _private.2053038997.v
0.000015      354 subtype.property
0.000017      355 classical.some_spec
0.000014      356 _private.1247348485.u_def
0.000016      357 _private.2871420677.v_def
0.000015      358 ne_false_of_self
0.000016      359 true_ne_false
0.000014      360 _private.1339425711.not_uv_or_p
0.000017      361 mt
0.000014      362 reflexive
0.000016      363 symmetric
0.000015      364 transitive
0.000016      365 equivalence
0.000017      366 setoid
0.000014      367 setoid.r
0.000016      368 quotient
0.000014      369 function.equiv
0.000016      370 mk_equivalence
0.000015      371 function.equiv.refl
0.000016      372 function.equiv.symm
0.000014      373 function.equiv.trans
0.000016      374 function.equiv.is_equivalence
0.000015      375 _private.1627920919.fun_setoid
0.000016      376 _private.531824637.extfun
0.000015      377 quot.lift_on
0.000016      378 _private.1158032381.extfun_app._proof_1
0.000015      379 _private.1158032381.extfun_app
0.000015      380 quotient.mk
0.000015      381 has_equiv
0.000016      382 has_equiv.equiv
0.000015      383 setoid_has_equiv
0.000016      384 quot.sound
0.000014      385 quotient.sound
0.000016      386 funext
0.000015      387 _private.2277208427.p_implies_uv
0.000016      388 classical.em
0.000014      389 classical.prop_decidable._proof_1
0.000016      390 classical.prop_decidable
0.000015      391 classical.by_contradiction
0.000016      392 imp_of_not_imp_not
0.000015      393 imp_congr
0.000016      394 iff.rfl
0.000014      395 eq.to_iff
0.000017      396 imp_congr_eq
0.000014      397 and.dcases_on
0.000016      398 not_or_distrib
0.000016      399 push_neg.not_or_eq
0.000015      400 push_neg.not_eq
0.000016      401 left_ne_zero_of_mul
0.000014      402 trans_rel_right
0.000016      403 ne.symm
0.000014      404 one_ne_zero
0.000017      405 ne_zero_of_eq_one
0.000014      406 left_ne_zero_of_mul_eq_one
0.000016      407 units.mul_inv
0.000014      408 units.ne_zero
0.000016      409 group_with_zero.no_zero_divisors
0.000015      410 or.imp
0.000016      411 or_congr
0.000014      412 or_self
0.000016      413 decidable.false
0.000015      414 dif_ctx_congr
0.000015      415 dif_neg
0.000015      416 right_ne_zero_of_mul
0.000016      417 right_ne_zero_of_mul_eq_one
0.000015      418 eq_inv_of_mul_left_eq_one
0.000014      419 units.inv_mul
0.000017      420 units.coe_inv'
0.000015      421 units.coe_mk0
0.000016      422 group_with_zero.inv_zero
0.000015      423 inv_zero
0.000014      424 mul_inv_rev'
0.000016      425 comm_semigroup
0.000015      426 comm_semigroup.mul
0.000016      427 comm_semigroup.mul_assoc
0.000014      428 comm_semigroup.to_semigroup
0.000016      429 comm_monoid
0.000015      430 comm_monoid.mul
0.112001      431 comm_monoid.mul_assoc
0.000046      432 comm_monoid.mul_comm
0.000032      433 comm_monoid.to_comm_semigroup
0.000026      434 comm_monoid_with_zero.to_comm_monoid
0.000026      435 comm_semigroup.mul_comm
0.000019      436 mul_comm
0.000014      437 mul_inv'
0.000014      438 units.coe_mul
0.000014      439 or_true
0.000015      440 iff_self
0.000014      441 mul_left_cancel'
0.000014      442 mul_right_inj'
0.000014      443 false.elim
0.000014      444 or_false
0.000018      445 mul_eq_mul_left_iff
0.000015      446 function.involutive
0.000016      447 function.left_inverse
0.000015      448 function.left_inverse.injective
0.000016      449 function.involutive.left_inverse
0.000016      450 function.involutive.injective
0.000018      451 mul_inv_cancel_left'
0.000017      452 inv_inv'
0.000016      453 inv_involutive'
0.000015      454 inv_injective'
0.000016      455 inv_inj'
0.000017      456 eq_comm
0.000014      457 inv_eq_iff
0.000017      458 inv_eq_zero
0.000016      459 comm_group_with_zero.normalization_monoid._proof_4
0.000017      460 units.mk0_coe
0.000014      461 comm_group_with_zero.normalization_monoid._proof_5
0.000014      462 comm_group_with_zero.normalization_monoid
0.000014      463 comm_group_with_zero.coe_norm_unit
0.000014      464 has_sub
0.000016      465 has_sub.sub
0.000021      466 add_zero_class
0.000017      467 add_zero_class.add
0.000014      468 add_zero_class.to_has_add
0.000015      469 add_monoid
0.000014      470 add_monoid.zero
0.000017      471 add_monoid.add
0.000015      472 add_monoid.zero_add
0.000016      473 add_monoid.add_zero
0.000014      474 add_monoid.to_add_zero_class
0.000016      475 has_neg
0.000015      476 has_neg.neg
0.000016      477 sub_neg_monoid
0.000015      478 sub_neg_monoid.add
0.000016      479 sub_neg_monoid.add_assoc
0.000014      480 sub_neg_monoid.zero
0.000016      481 sub_neg_monoid.zero_add
0.000015      482 sub_neg_monoid.add_zero
0.000016      483 sub_neg_monoid.to_add_monoid
0.000014      484 sub_neg_monoid.neg
0.000016      485 sub_neg_monoid.to_has_neg
0.000015      486 add_zero_class.zero
0.000015      487 add_zero_class.to_has_zero
0.000015      488 add_semigroup
0.000016      489 add_semigroup.add
0.000014      490 add_semigroup.to_has_add
0.000016      491 preorder
0.000014      492 preorder.le
0.000016      493 preorder.to_has_le
0.000014      494 partial_order
0.000016      495 partial_order.le
0.000014      496 partial_order.lt
0.000016      497 partial_order.le_refl
0.000014      498 partial_order.le_trans
0.000016      499 partial_order.lt_iff_le_not_le
0.000014      500 partial_order.to_preorder
0.000016      501 add_group
0.000014      502 add_group.add
0.000018      503 add_group.add_assoc
0.000014      504 add_group.zero
0.000016      505 add_group.zero_add
0.000014      506 add_group.add_zero
0.000016      507 add_group.neg
0.000014      508 add_group.sub
0.000016      509 add_group.sub_eq_add_neg
0.000015      510 add_group.to_sub_neg_monoid
0.000015      511 add_comm_group
0.000016      512 add_comm_group.add
0.000015      513 add_comm_group.add_assoc
0.000016      514 add_comm_group.zero
0.000015      515 add_comm_group.zero_add
0.000014      516 add_comm_group.add_zero
0.000016      517 add_comm_group.neg
0.000014      518 add_comm_group.sub
0.000016      519 add_comm_group.sub_eq_add_neg
0.000014      520 add_comm_group.add_left_neg
0.000016      521 add_comm_group.to_add_group
0.000015      522 ordered_add_comm_group
0.000017      523 ordered_add_comm_group.le
0.000014      524 ordered_add_comm_group.lt
0.000017      525 ordered_add_comm_group.le_refl
0.000014      526 ordered_add_comm_group.le_trans
0.000015      527 ordered_add_comm_group.lt_iff_le_not_le
0.000015      528 ordered_add_comm_group.le_antisymm
0.000016      529 ordered_add_comm_group.to_partial_order
0.000014      530 semiring
0.000016      531 semiring.mul
0.000014      532 semiring.mul_assoc
0.000016      533 semiring.one
0.000016      534 semiring.one_mul
0.000015      535 semiring.mul_one
0.000016      536 semiring.zero
0.000014      537 semiring.zero_mul
0.000016      538 semiring.mul_zero
0.000014      539 semiring.to_monoid_with_zero
0.000016      540 ring
0.000014      541 ring.add
0.000016      542 ring.add_assoc
0.000014      543 ring.zero
0.000017      544 ring.zero_add
0.000015      545 ring.add_zero
0.000016      546 ring.add_comm
0.000014      547 ring.mul
0.000016      548 ring.mul_assoc
0.000014      549 ring.one
0.000016      550 ring.one_mul
0.000014      551 ring.mul_one
0.000016      552 add_left_cancel_semigroup
0.000015      553 add_left_cancel_semigroup.add
0.000015      554 add_left_cancel_semigroup.add_assoc
0.000015      555 add_left_cancel_semigroup.to_add_semigroup
0.000016      556 add_left_cancel_semigroup.add_left_cancel
0.000015      557 add_left_cancel
0.000016      558 add_left_cancel_monoid
0.000014      559 add_left_cancel_monoid.add
0.000016      560 add_left_cancel_monoid.add_assoc
0.000015      561 add_left_cancel_monoid.add_left_cancel
0.000016      562 add_left_cancel_monoid.to_add_left_cancel_semigroup
0.000015      563 add_cancel_comm_monoid
0.000016      564 add_cancel_comm_monoid.add
0.000014      565 add_cancel_comm_monoid.add_assoc
0.000016      566 add_cancel_comm_monoid.add_left_cancel
0.173574      567 add_cancel_comm_monoid.zero
0.000072      568 add_cancel_comm_monoid.zero_add
0.000024      569 add_cancel_comm_monoid.add_zero
0.000015      570 add_cancel_comm_monoid.to_add_left_cancel_monoid
0.000014      571 add_cancel_monoid
0.000015      572 add_cancel_monoid.add
0.000014      573 add_monoid.add_assoc
0.000014      574 add_monoid.to_add_semigroup
0.000015      575 add_semigroup.add_assoc
0.000014      576 add_assoc
0.000015      577 add_group.add_left_neg
0.000014      578 add_left_neg
0.000014      579 add_zero_class.zero_add
0.000014      580 zero_add
0.000014      581 neg_add_cancel_left
0.000015      582 add_group.to_cancel_add_monoid._proof_1
0.000016      583 add_zero_class.add_zero
0.000017      584 add_zero
0.000016      585 left_neg_eq_right_neg
0.000015      586 neg_add_self
0.000018      587 neg_eq_of_add_eq_zero
0.000017      588 neg_neg
0.000016      589 add_right_neg
0.000015      590 add_neg_cancel_right
0.000016      591 add_group.to_cancel_add_monoid._proof_2
0.000017      592 add_group.to_cancel_add_monoid
0.000016      593 add_cancel_monoid.add_assoc
0.000014      594 add_cancel_monoid.add_left_cancel
0.000017      595 add_comm_group.to_cancel_add_comm_monoid._proof_1
0.000014      596 add_comm_group.add_comm
0.000014      597 add_comm_group.to_cancel_add_comm_monoid
0.000015      598 ring.neg
0.000016      599 ring.sub
0.000015      600 ring.sub_eq_add_neg
0.000016      601 ring.add_left_neg
0.000014      602 ring.to_add_comm_group
0.000018      603 distrib
0.000014      604 distrib.mul
0.000018      605 distrib.to_has_mul
0.000014      606 ring.left_distrib
0.000016      607 ring.right_distrib
0.000015      608 ring.to_distrib
0.000016      609 distrib.add
0.000014      610 distrib.to_has_add
0.000017      611 distrib.right_distrib
0.000016      612 right_distrib
0.000016      613 add_mul
0.000015      614 ring.to_semiring._proof_1
0.000016      615 distrib.left_distrib
0.000014      616 left_distrib
0.000016      617 mul_add
0.000015      618 ring.to_semiring._proof_2
0.000016      619 ring.to_semiring
0.000015      620 ring.to_monoid
0.000016      621 preorder.lt
0.000026      622 preorder.to_has_lt
0.000015      623 comm_ring
0.000014      624 comm_ring.add
0.000015      625 comm_ring.add_assoc
0.000014      626 comm_ring.zero
0.000016      627 comm_ring.zero_add
0.000015      628 comm_ring.add_zero
0.000016      629 comm_ring.neg
0.000015      630 comm_ring.sub
0.000014      631 comm_ring.sub_eq_add_neg
0.000017      632 comm_ring.add_left_neg
0.000015      633 comm_ring.add_comm
0.000016      634 comm_ring.mul
0.000015      635 comm_ring.mul_assoc
0.000016      636 comm_ring.one
0.000014      637 comm_ring.one_mul
0.000017      638 comm_ring.mul_one
0.000014      639 comm_ring.left_distrib
0.000016      640 comm_ring.right_distrib
0.000015      641 comm_ring.to_ring
0.000016      642 linear_ordered_field
0.000014      643 directed_order
0.000017      644 directed_order.to_preorder
0.000014      645 linear_order
0.000016      646 has_inf
0.000014      647 has_inf.inf
0.000016      648 semilattice_inf
0.000015      649 semilattice_inf.le
0.000016      650 semilattice_inf.lt
0.000015      651 semilattice_inf.le_refl
0.000014      652 semilattice_inf.le_trans
0.000018      653 semilattice_inf.lt_iff_le_not_le
0.000015      654 semilattice_inf.le_antisymm
0.000016      655 semilattice_inf.to_partial_order
0.000014      656 has_sup
0.000016      657 has_sup.sup
0.000015      658 lattice
0.000016      659 lattice.inf
0.000014      660 lattice.le
0.000016      661 lattice.lt
0.000015      662 lattice.le_refl
0.000014      663 lattice.le_trans
0.000016      664 lattice.lt_iff_le_not_le
0.000015      665 lattice.le_antisymm
0.000016      666 lattice.inf_le_left
0.000015      667 lattice.inf_le_right
0.000016      668 lattice.le_inf
0.000014      669 lattice.to_semilattice_inf
0.000016      670 ite
0.000015      671 linear_order.le
0.000016      672 linear_order.lt
0.000015      673 linear_order.le_refl
0.000016      674 linear_order.le_trans
0.000014      675 linear_order.lt_iff_le_not_le
0.000016      676 linear_order.le_antisymm
0.000015      677 linear_order.to_partial_order
0.000016      678 linear_order.decidable_le
0.000014      679 has_le.le.decidable
0.000016      680 max
0.000016      681 max.equations._eqn_1
0.000015      682 decidable.true
0.000016      683 if_ctx_congr
0.000014      684 if_congr
0.000016      685 if_pos
0.000015      686 preorder.le_refl
0.000016      687 le_refl
0.000014      688 if_neg
0.000016      689 or.resolve_left
0.000015      690 linear_order.le_total
0.000017      691 le_total
0.000014      692 le_of_not_le
0.000016      693 le_max_left
0.000014      694 le_max_right
0.000016      695 max_le
0.000015      696 lattice_of_linear_order._proof_1
0.000016      697 min
0.000014      698 min.equations._eqn_1
0.000017      699 min_le_left
0.000014      700 min_le_right
0.000018      701 le_min
0.000014      702 lattice_of_linear_order._proof_2
0.000017      703 lattice_of_linear_order
0.000015      704 or.cases_on
0.000014      705 linear_order.to_directed_order._proof_1
0.000016      706 linear_order.to_directed_order
0.000014      707 linear_ordered_ring
0.000017      708 linear_ordered_ring.le
0.000014      709 linear_ordered_ring.lt
0.000016      710 linear_ordered_ring.le_refl
0.000015      711 linear_ordered_ring.le_trans
0.421149      712 linear_ordered_ring.lt_iff_le_not_le
0.000076      713 linear_ordered_ring.le_antisymm
0.000027      714 linear_ordered_ring.le_total
0.000021      715 linear_ordered_ring.decidable_le
0.000014      716 linear_ordered_ring.decidable_eq
0.000014      717 linear_ordered_ring.decidable_lt
0.000014      718 linear_ordered_ring.to_linear_order
0.000014      719 linear_ordered_comm_ring
0.000014      720 linear_ordered_comm_ring.add
0.000015      721 linear_ordered_comm_ring.add_assoc
0.000014      722 linear_ordered_comm_ring.zero
0.000014      723 linear_ordered_comm_ring.zero_add
0.000014      724 linear_ordered_comm_ring.add_zero
0.000018      725 linear_ordered_comm_ring.neg
0.000017      726 linear_ordered_comm_ring.sub
0.000017      727 linear_ordered_comm_ring.sub_eq_add_neg
0.000016      728 linear_ordered_comm_ring.add_left_neg
0.000016      729 linear_ordered_comm_ring.add_comm
0.000017      730 linear_ordered_comm_ring.mul
0.000016      731 linear_ordered_comm_ring.mul_assoc
0.000017      732 linear_ordered_comm_ring.one
0.000016      733 linear_ordered_comm_ring.one_mul
0.000014      734 linear_ordered_comm_ring.mul_one
0.000016      735 linear_ordered_comm_ring.left_distrib
0.000015      736 linear_ordered_comm_ring.right_distrib
0.000016      737 linear_ordered_comm_ring.le
0.000017      738 linear_ordered_comm_ring.lt
0.000016      739 linear_ordered_comm_ring.le_refl
0.000017      740 linear_ordered_comm_ring.le_trans
0.000015      741 linear_ordered_comm_ring.lt_iff_le_not_le
0.000014      742 linear_ordered_comm_ring.le_antisymm
0.000014      743 linear_ordered_comm_ring.add_le_add_left
0.000015      744 linear_ordered_comm_ring.zero_le_one
0.000016      745 linear_ordered_comm_ring.mul_pos
0.000016      746 linear_ordered_comm_ring.le_total
0.000017      747 linear_ordered_comm_ring.decidable_le
0.000016      748 linear_ordered_comm_ring.decidable_eq
0.000015      749 linear_ordered_comm_ring.decidable_lt
0.000014      750 linear_ordered_comm_ring.exists_pair_ne
0.000014      751 linear_ordered_comm_ring.to_linear_ordered_ring
0.000014      752 linear_ordered_field.add
0.000016      753 linear_ordered_field.add_assoc
0.000017      754 linear_ordered_field.zero
0.000014      755 linear_ordered_field.zero_add
0.000017      756 linear_ordered_field.add_zero
0.000015      757 linear_ordered_field.neg
0.000017      758 linear_ordered_field.sub
0.000015      759 linear_ordered_field.sub_eq_add_neg
0.000014      760 linear_ordered_field.add_left_neg
0.000017      761 linear_ordered_field.add_comm
0.000015      762 linear_ordered_field.mul
0.000015      763 linear_ordered_field.mul_assoc
0.000016      764 linear_ordered_field.one
0.000014      765 linear_ordered_field.one_mul
0.000016      766 linear_ordered_field.mul_one
0.000015      767 linear_ordered_field.left_distrib
0.000017      768 linear_ordered_field.right_distrib
0.000014      769 linear_ordered_field.le
0.000016      770 linear_ordered_field.lt
0.000015      771 linear_ordered_field.le_refl
0.000016      772 linear_ordered_field.le_trans
0.000015      773 linear_ordered_field.lt_iff_le_not_le
0.000016      774 linear_ordered_field.le_antisymm
0.000015      775 linear_ordered_field.add_le_add_left
0.000017      776 linear_ordered_field.zero_le_one
0.000014      777 linear_ordered_field.mul_pos
0.000017      778 linear_ordered_field.le_total
0.000015      779 linear_ordered_field.decidable_le
0.000015      780 linear_ordered_field.decidable_eq
0.000016      781 linear_ordered_field.decidable_lt
0.000014      782 linear_ordered_field.exists_pair_ne
0.000016      783 linear_ordered_field.mul_comm
0.000015      784 linear_ordered_field.to_linear_ordered_comm_ring
0.000016      785 division_ring
0.000015      786 division_ring.add
0.000016      787 division_ring.add_assoc
0.000014      788 division_ring.zero
0.000016      789 division_ring.zero_add
0.000015      790 division_ring.add_zero
0.000016      791 division_ring.neg
0.000015      792 division_ring.sub
0.000016      793 division_ring.sub_eq_add_neg
0.000015      794 division_ring.add_left_neg
0.000016      795 division_ring.add_comm
0.000015      796 division_ring.mul
0.000016      797 division_ring.mul_assoc
0.000015      798 division_ring.one
0.000016      799 division_ring.one_mul
0.000016      800 division_ring.mul_one
0.000015      801 division_ring.left_distrib
0.000025      802 division_ring.right_distrib
0.000018      803 division_ring.to_ring
0.000015      804 field
0.000014      805 field.add
0.000019      806 field.add_assoc
0.000014      807 field.to_division_ring._proof_1
0.000016      808 field.zero
0.000015      809 field.zero_add
0.000016      810 field.to_division_ring._proof_2
0.000016      811 field.add_zero
0.000017      812 field.to_division_ring._proof_3
0.000014      813 field.neg
0.000016      814 field.sub
0.000014      815 field.sub_eq_add_neg
0.000016      816 field.to_division_ring._proof_4
0.000015      817 field.add_left_neg
0.000016      818 field.to_division_ring._proof_5
0.000014      819 field.add_comm
0.157357      820 field.to_division_ring._proof_6
0.000059      821 field.mul
0.000025      822 field.mul_assoc
0.000014      823 field.to_division_ring._proof_7
0.000015      824 field.one
0.000014      825 field.one_mul
0.000014      826 field.to_division_ring._proof_8
0.000015      827 field.mul_one
0.000013      828 field.to_division_ring._proof_9
0.000014      829 field.left_distrib
0.000015      830 field.to_division_ring._proof_10
0.000014      831 field.right_distrib
0.000014      832 field.to_division_ring._proof_11
0.000014      833 field.inv
0.000019      834 field.div
0.000018      835 field.div_eq_mul_inv
0.000015      836 field.to_division_ring._proof_12
0.000016      837 field.exists_pair_ne
0.000018      838 field.to_division_ring._proof_13
0.000014      839 field.mul_comm
0.000017      840 field.mul_inv_cancel
0.000017      841 field.to_division_ring._proof_14
0.000016      842 field.inv_zero
0.000014      843 field.to_division_ring._proof_15
0.000015      844 field.to_division_ring
0.000014      845 linear_ordered_field.inv
0.000017      846 linear_ordered_field.div
0.000015      847 linear_ordered_field.div_eq_mul_inv
0.000016      848 linear_ordered_field.mul_inv_cancel
0.000017      849 linear_ordered_field.inv_zero
0.000017      850 linear_ordered_field.to_field
0.000015      851 is_absolute_value
0.000014      852 gt
0.000018      853 ge
0.000016      854 sub_neg_monoid.sub
0.000017      855 sub_neg_monoid.to_has_sub
0.000015      856 is_cau_seq
0.000017      857 cau_seq
0.000017      858 has_coe_to_fun
0.000017      859 has_coe_to_fun.F
0.000016      860 has_coe_to_fun.coe
0.000015      861 coe_fn
0.000017      862 cau_seq.has_coe_to_fun
0.000017      863 nat.le_trans
0.000017      864 nat.le_succ
0.000016      865 nat.le_of_succ_le
0.000015      866 nat.le_of_lt
0.000016      867 nat.not_succ_le_self
0.000015      868 nat.lt_irrefl
0.000016      869 nat.lt_of_le_of_lt
0.000014      870 or.resolve_right
0.000017      871 or.swap
0.000016      872 nat.less_than_or_equal.cases_on
0.000015      873 nat.eq_or_lt_of_le
0.000017      874 nat.lt_of_le_and_ne
0.000014      875 nat.lt_iff_le_not_le
0.000016      876 nat.le_antisymm
0.000015      877 or.imp_left
0.000014      878 or.dcases_on
0.000016      879 nat.le_succ_of_le
0.000015      880 nat.lt.base
0.000016      881 nat.lt_succ_self
0.000015      882 nat.lt_or_ge
0.000016      883 nat.le_total
0.000014      884 nat.decidable_eq._match_1
0.000016      885 nat.decidable_eq._main
0.000017      886 nat.decidable_eq
0.000014      887 nat.linear_order
0.000017      888 cau_seq.has_add._match_1
0.000015      889 cau_seq.has_add._match_2
0.000014      890 le_rfl
0.000017      891 exists_ge_of_linear
0.000014      892 preorder.le_trans
0.000016      893 le_trans
0.000016      894 exists_forall_ge_and
0.000014      895 exists.elim
0.000016      896 exists_imp_exists
0.000014      897 Exists.imp
0.000017      898 div_inv_monoid.div
0.000014      899 div_inv_monoid.to_has_div
0.000016      900 field.to_div_inv_monoid
0.000015      901 division_ring.inv
0.000016      902 division_ring.div
0.000016      903 division_ring.div_eq_mul_inv
0.000015      904 division_ring.to_div_inv_monoid
0.000016      905 div_inv_monoid.div_eq_mul_inv
0.000015      906 div_eq_mul_inv
0.000016      907 div_add_div_same
0.000015      908 semiring.add
0.000014      909 semiring.left_distrib
0.000016      910 semiring.right_distrib
0.000015      911 semiring.to_distrib
0.000016      912 two_mul
0.000015      913 infer_instance
0.000016      914 division_ring.to_group_with_zero._proof_1
0.000014      915 division_ring.to_group_with_zero._proof_2
0.000017      916 division_ring.exists_pair_ne
0.000016      917 division_ring.inv_zero
0.000015      918 division_ring.mul_inv_cancel
0.000016      919 division_ring.to_group_with_zero
0.000015      920 field.to_comm_group_with_zero._proof_1
0.000016      921 field.to_comm_group_with_zero._proof_2
0.000015      922 field.to_comm_group_with_zero._proof_3
0.000016      923 field.to_comm_group_with_zero._proof_4
0.000014      924 field.to_comm_group_with_zero._proof_5
0.000017      925 field.to_comm_group_with_zero._proof_6
0.000014      926 field.to_comm_group_with_zero._proof_7
0.000015      927 field.to_comm_group_with_zero._proof_8
0.000016      928 field.to_comm_group_with_zero._proof_9
0.000015      929 field.to_comm_group_with_zero
0.000016      930 add_right_cancel_monoid
0.000014      931 add_right_cancel_monoid.add
0.000016      932 add_right_cancel_monoid.add_assoc
0.000015      933 add_right_cancel_monoid.zero
0.000016      934 add_right_cancel_monoid.zero_add
0.000014      935 add_right_cancel_monoid.add_zero
0.000017      936 add_right_cancel_monoid.to_add_monoid
0.000015      937 add_cancel_monoid.add_right_cancel
0.000014      938 add_cancel_monoid.zero
0.000016      939 add_cancel_monoid.zero_add
0.000015      940 add_cancel_monoid.add_zero
0.000016      941 add_cancel_monoid.to_add_right_cancel_monoid
0.000014      942 add_comm_semigroup
0.000015      943 add_comm_semigroup.add
0.000016      944 add_comm_semigroup.add_assoc
0.000015      945 add_comm_semigroup.to_add_semigroup
0.000016      946 add_comm_monoid
0.000015      947 add_comm_monoid.add
0.000016      948 add_comm_monoid.add_assoc
0.236207      949 add_comm_monoid.add_comm
0.000065      950 add_comm_monoid.to_add_comm_semigroup
0.000024      951 add_cancel_comm_monoid.add_comm
0.000014      952 add_cancel_comm_monoid.to_add_comm_monoid
0.000015      953 add_comm_semigroup.add_comm
0.000082      954 add_comm
0.000016      955 add_cancel_comm_monoid.to_cancel_add_monoid._proof_1
0.000015      956 add_cancel_comm_monoid.to_cancel_add_monoid
0.000014      957 ordered_cancel_add_comm_monoid
0.000014      958 ordered_cancel_add_comm_monoid.le
0.000015      959 ordered_cancel_add_comm_monoid.lt
0.000014      960 ordered_cancel_add_comm_monoid.le_refl
0.000014      961 ordered_cancel_add_comm_monoid.le_trans
0.000014      962 ordered_cancel_add_comm_monoid.lt_iff_le_not_le
0.000014      963 ordered_cancel_add_comm_monoid.le_antisymm
0.000018      964 ordered_cancel_add_comm_monoid.to_partial_order
0.000017      965 ordered_semiring
0.000017      966 ordered_semiring.add
0.000017      967 ordered_semiring.add_assoc
0.000017      968 ordered_semiring.zero
0.000015      969 ordered_semiring.zero_add
0.000016      970 ordered_semiring.add_zero
0.000015      971 ordered_semiring.add_comm
0.000016      972 ordered_semiring.mul
0.000017      973 ordered_semiring.mul_assoc
0.000014      974 ordered_semiring.one
0.000018      975 ordered_semiring.one_mul
0.000016      976 ordered_semiring.mul_one
0.000015      977 ordered_semiring.zero_mul
0.000017      978 ordered_semiring.mul_zero
0.000017      979 ordered_semiring.left_distrib
0.000016      980 ordered_semiring.right_distrib
0.000015      981 ordered_semiring.to_semiring
0.000016      982 ordered_ring
0.000014      983 ordered_ring.add
0.000017      984 ordered_ring.add_assoc
0.000014      985 ordered_ring.zero
0.000016      986 ordered_ring.zero_add
0.000015      987 ordered_ring.add_zero
0.000016      988 ordered_ring.add_comm
0.000015      989 ordered_ring.mul
0.000014      990 ordered_ring.mul_assoc
0.000014      991 ordered_ring.one
0.000014      992 ordered_ring.one_mul
0.000016      993 ordered_ring.mul_one
0.000017      994 ordered_ring.neg
0.000015      995 ordered_ring.sub
0.000016      996 ordered_ring.sub_eq_add_neg
0.000014      997 ordered_ring.add_left_neg
0.000016      998 ordered_ring.left_distrib
0.000015      999 ordered_ring.right_distrib
0.000016     1000 ordered_ring.to_ring
0.000014     1001 ordered_ring.to_ordered_semiring._proof_1
0.000016     1002 ordered_ring.to_ordered_semiring._proof_2
0.000015     1003 ordered_cancel_add_comm_monoid.add
0.000016     1004 ordered_cancel_add_comm_monoid.add_assoc
0.000014     1005 ordered_cancel_add_comm_monoid.add_left_cancel
0.000016     1006 ordered_cancel_add_comm_monoid.zero
0.000018     1007 ordered_cancel_add_comm_monoid.zero_add
0.000015     1008 ordered_cancel_add_comm_monoid.add_zero
0.000014     1009 ordered_cancel_add_comm_monoid.add_comm
0.000016     1010 ordered_cancel_add_comm_monoid.to_add_cancel_comm_monoid
0.000014     1011 ordered_add_comm_group.add
0.000017     1012 ordered_add_comm_group.add_assoc
0.000015     1013 ordered_add_comm_group.zero
0.000014     1014 ordered_add_comm_group.zero_add
0.000016     1015 ordered_add_comm_group.add_zero
0.000015     1016 ordered_add_comm_group.neg
0.000015     1017 ordered_add_comm_group.sub
0.000015     1018 ordered_add_comm_group.sub_eq_add_neg
0.000016     1019 ordered_add_comm_group.add_left_neg
0.000015     1020 ordered_add_comm_group.add_comm
0.000015     1021 ordered_add_comm_group.to_add_comm_group
0.000016     1022 ordered_add_comm_group.to_ordered_cancel_add_comm_monoid._proof_1
0.000015     1023 ordered_add_comm_group.add_le_add_left
0.000014     1024 ordered_add_comm_group.le_of_add_le_add_left
0.000016     1025 ordered_add_comm_group.to_ordered_cancel_add_comm_monoid
0.000015     1026 ordered_ring.le
0.000014     1027 ordered_ring.lt
0.000014     1028 ordered_ring.le_refl
0.000018     1029 ordered_ring.le_trans
0.000015     1030 ordered_ring.lt_iff_le_not_le
0.000016     1031 ordered_ring.le_antisymm
0.000015     1032 ordered_ring.add_le_add_left
0.000016     1033 ordered_ring.to_ordered_add_comm_group
0.000015     1034 ordered_ring.to_ordered_semiring._proof_3
0.000016     1035 ordered_cancel_add_comm_monoid.le_of_add_le_add_left
0.000014     1036 le_of_add_le_add_left
0.000017     1037 ordered_ring.to_ordered_semiring._proof_4
0.000015     1038 ordered_ring.zero_le_one
0.000021     1039 sub_neg_monoid.sub_eq_add_neg
0.000020     1040 sub_eq_add_neg
0.000015     1041 sub_self
0.000015     1042 add_comm_monoid.zero
0.000016     1043 add_comm_monoid.zero_add
0.000014     1044 add_comm_monoid.add_zero
0.000016     1045 add_comm_monoid.to_add_monoid
0.000014     1046 ordered_add_comm_monoid
0.000017     1047 ordered_add_comm_monoid.le
0.000014     1048 ordered_add_comm_monoid.lt
0.000017     1049 ordered_add_comm_monoid.le_refl
0.000016     1050 ordered_add_comm_monoid.le_trans
0.000015     1051 ordered_add_comm_monoid.lt_iff_le_not_le
0.000016     1052 ordered_add_comm_monoid.le_antisymm
0.367525     1053 ordered_add_comm_monoid.to_partial_order
0.000093     1054 ordered_add_comm_monoid.add
0.000024     1055 ordered_add_comm_monoid.add_assoc
0.000014     1056 ordered_add_comm_monoid.zero
0.000015     1057 ordered_add_comm_monoid.zero_add
0.000014     1058 ordered_add_comm_monoid.add_zero
0.000014     1059 ordered_add_comm_monoid.add_comm
0.000015     1060 ordered_add_comm_monoid.to_add_comm_monoid
0.000014     1061 ordered_add_comm_monoid.lt_of_add_lt_add_left
0.000014     1062 lt_of_add_lt_add_left
0.000014     1063 ordered_cancel_add_comm_monoid.add_le_add_left
0.000014     1064 preorder.lt_iff_le_not_le
0.000014     1065 lt_iff_le_not_le
0.000015     1066 lt_of_le_not_le
0.000014     1067 le_not_le_of_lt
0.000014     1068 le_of_lt
0.000014     1069 has_lt.lt.le
0.000017     1070 not_le_of_gt
0.000015     1071 ordered_cancel_add_comm_monoid.to_ordered_add_comm_monoid._proof_1
0.000017     1072 ordered_cancel_add_comm_monoid.to_ordered_add_comm_monoid
0.000015     1073 ordered_add_comm_monoid.add_le_add_left
0.000016     1074 add_le_add_left
0.000017     1075 add_lt_add_left
0.000014     1076 add_lt_add_iff_left
0.000016     1077 neg_lt_neg_iff
0.000017     1078 sub_lt_sub_iff_left
0.000015     1079 sub_pos
0.000014     1080 neg_mul_eq_mul_neg
0.000014     1081 mul_sub_left_distrib
0.000014     1082 mul_sub
0.000016     1083 ordered_ring.mul_pos
0.000017     1084 ordered_ring.mul_lt_mul_of_pos_left
0.000015     1085 neg_mul_eq_neg_mul
0.000016     1086 mul_sub_right_distrib
0.000017     1087 sub_mul
0.000017     1088 ordered_ring.mul_lt_mul_of_pos_right
0.000040     1089 ordered_ring.to_ordered_semiring
0.000015     1090 linear_ordered_ring.add
0.000016     1091 linear_ordered_ring.add_assoc
0.000014     1092 linear_ordered_ring.zero
0.000015     1093 linear_ordered_ring.zero_add
0.000015     1094 linear_ordered_ring.add_zero
0.000015     1095 linear_ordered_ring.neg
0.000016     1096 linear_ordered_ring.sub
0.000015     1097 linear_ordered_ring.sub_eq_add_neg
0.000014     1098 linear_ordered_ring.add_left_neg
0.000016     1099 linear_ordered_ring.add_comm
0.000015     1100 linear_ordered_ring.mul
0.000016     1101 linear_ordered_ring.mul_assoc
0.000014     1102 linear_ordered_ring.one
0.000016     1103 linear_ordered_ring.one_mul
0.000015     1104 linear_ordered_ring.mul_one
0.000016     1105 linear_ordered_ring.left_distrib
0.000015     1106 linear_ordered_ring.right_distrib
0.000016     1107 linear_ordered_ring.add_le_add_left
0.000014     1108 linear_ordered_ring.zero_le_one
0.000016     1109 linear_ordered_ring.mul_pos
0.000015     1110 linear_ordered_ring.to_ordered_ring
0.000016     1111 decidable.by_cases
0.000015     1112 classical.by_cases
0.000016     1113 div_zero
0.000015     1114 mul_div_cancel
0.000016     1115 mul_div_cancel_of_imp
0.000014     1116 mul_div_cancel_left_of_imp
0.000016     1117 mul_div_cancel_left
0.000015     1118 lt_irrefl
0.000014     1119 ne_of_lt
0.000014     1120 ordered_semiring.add_left_cancel
0.000016     1121 ordered_semiring.le
0.000015     1122 ordered_semiring.lt
0.000014     1123 ordered_semiring.le_refl
0.000018     1124 ordered_semiring.le_trans
0.000017     1125 ordered_semiring.lt_iff_le_not_le
0.000014     1126 ordered_semiring.le_antisymm
0.000016     1127 ordered_semiring.add_le_add_left
0.000017     1128 ordered_semiring.le_of_add_le_add_left
0.000014     1129 ordered_semiring.to_ordered_cancel_add_comm_monoid
0.000016     1130 lt_of_lt_of_le
0.000015     1131 le_add_of_nonneg_right
0.000016     1132 add_pos_of_pos_of_nonneg
0.000015     1133 add_pos
0.000016     1134 partial_order.le_antisymm
0.000015     1135 le_antisymm
0.000016     1136 lt_of_le_of_ne
0.000014     1137 ordered_semiring.zero_le_one
0.000016     1138 zero_le_one
0.000015     1139 zero_lt_one
0.000016     1140 zero_lt_two
0.000015     1141 two_ne_zero
0.000015     1142 field.to_nontrivial
0.000015     1143 add_halves
0.000016     1144 lt_of_le_of_lt
0.000017     1145 is_absolute_value.abv_add
0.000014     1146 is_absolute_value.abv_sub_le
0.000017     1147 lt_trans
0.000014     1148 add_lt_add_right
0.000017     1149 add_lt_add
0.000014     1150 neg_sub
0.000016     1151 domain
0.000015     1152 domain.add
0.000016     1153 domain.add_assoc
0.000014     1154 domain.zero
0.000016     1155 domain.zero_add
0.000015     1156 domain.add_zero
0.000016     1157 domain.neg
0.000014     1158 domain.sub
0.000017     1159 domain.sub_eq_add_neg
0.000014     1160 domain.add_left_neg
0.000016     1161 domain.add_comm
0.000015     1162 domain.mul
0.000016     1163 domain.mul_assoc
0.000014     1164 domain.one
0.000016     1165 domain.one_mul
0.000015     1166 domain.mul_one
0.000016     1167 domain.left_distrib
0.000014     1168 domain.right_distrib
0.000016     1169 domain.to_ring
0.000015     1170 integral_domain
0.000016     1171 integral_domain.add
0.000015     1172 integral_domain.add_assoc
0.000014     1173 integral_domain.zero
0.000016     1174 integral_domain.zero_add
0.000015     1175 integral_domain.add_zero
0.000014     1176 integral_domain.neg
0.000016     1177 integral_domain.sub
0.000015     1178 integral_domain.sub_eq_add_neg
0.000016     1179 integral_domain.add_left_neg
0.000015     1180 integral_domain.add_comm
0.386679     1181 integral_domain.mul
0.000090     1182 integral_domain.mul_assoc
0.000024     1183 integral_domain.one
0.000014     1184 integral_domain.one_mul
0.000014     1185 integral_domain.mul_one
0.000015     1186 integral_domain.left_distrib
0.000014     1187 integral_domain.right_distrib
0.000014     1188 integral_domain.exists_pair_ne
0.000014     1189 integral_domain.eq_zero_or_eq_zero_of_mul_eq_zero
0.000014     1190 integral_domain.to_domain
0.000014     1191 division_ring.to_domain._proof_1
0.000014     1192 division_ring.to_domain
0.000014     1193 domain.eq_zero_or_eq_zero_of_mul_eq_zero
0.000014     1194 field.to_integral_domain._proof_1
0.000014     1195 field.to_integral_domain
0.000018     1196 neg_add_cancel_right
0.000017     1197 sub_add_cancel
0.000015     1198 eq_of_sub_eq_zero
0.000017     1199 sub_eq_zero
0.000015     1200 integral_domain.mul_comm
0.000016     1201 integral_domain.to_comm_ring
0.000017     1202 comm_ring.mul_comm
0.000014     1203 comm_ring.to_comm_semigroup
0.000014     1204 add_sub_assoc
0.000016     1205 sub_add_sub_cancel
0.000015     1206 mul_self_sub_mul_self
0.000017     1207 domain.to_no_zero_divisors
0.000014     1208 or.comm
0.000018     1209 or_comm
0.000014     1210 eq_neg_of_add_eq_zero
0.000017     1211 add_eq_zero_iff_eq_neg
0.000017     1212 mul_self_eq_mul_self_iff
0.000015     1213 or_iff_left_of_imp
0.000014     1214 neg_zero
0.000014     1215 add_le_add_iff_left
0.000014     1216 neg_le_neg_iff
0.000016     1217 neg_nonneg
0.000017     1218 linear_ordered_add_comm_group
0.000015     1219 linear_ordered_add_comm_group.add
0.000016     1220 linear_ordered_add_comm_group.add_assoc
0.000016     1221 linear_ordered_add_comm_group.zero
0.000017     1222 linear_ordered_add_comm_group.zero_add
0.000014     1223 linear_ordered_add_comm_group.add_zero
0.000014     1224 linear_ordered_add_comm_group.neg
0.000015     1225 linear_ordered_add_comm_group.sub
0.000016     1226 linear_ordered_add_comm_group.sub_eq_add_neg
0.000015     1227 linear_ordered_add_comm_group.add_left_neg
0.000018     1228 linear_ordered_add_comm_group.add_comm
0.000016     1229 linear_ordered_add_comm_group.to_add_comm_group
0.000015     1230 linear_ordered_ring.to_linear_ordered_add_comm_group
0.000016     1231 mul_self_inj_of_nonneg
0.000015     1232 is_absolute_value.abv_nonneg
0.000016     1233 is_absolute_value.abv_mul
0.000014     1234 mul_neg_eq_neg_mul_symm
0.000017     1235 neg_mul_eq_neg_mul_symm
0.000014     1236 is_absolute_value.abv_neg
0.000016     1237 is_absolute_value.abv_sub
0.000014     1238 division_def
0.000014     1239 linear_ordered_semiring
0.000014     1240 linear_ordered_semiring.add
0.000016     1241 linear_ordered_semiring.add_assoc
0.000015     1242 linear_ordered_semiring.zero
0.000016     1243 linear_ordered_semiring.zero_add
0.000014     1244 linear_ordered_semiring.add_zero
0.000016     1245 linear_ordered_semiring.add_comm
0.000015     1246 linear_ordered_semiring.mul
0.000015     1247 linear_ordered_semiring.mul_assoc
0.000015     1248 linear_ordered_semiring.one
0.000016     1249 linear_ordered_semiring.one_mul
0.000014     1250 linear_ordered_semiring.mul_one
0.000016     1251 linear_ordered_semiring.zero_mul
0.000014     1252 linear_ordered_semiring.mul_zero
0.000016     1253 linear_ordered_semiring.left_distrib
0.000014     1254 linear_ordered_semiring.right_distrib
0.000017     1255 linear_ordered_semiring.add_left_cancel
0.000014     1256 linear_ordered_semiring.le
0.000017     1257 linear_ordered_semiring.lt
0.000014     1258 linear_ordered_semiring.le_refl
0.000016     1259 linear_ordered_semiring.le_trans
0.000015     1260 linear_ordered_semiring.lt_iff_le_not_le
0.000016     1261 linear_ordered_semiring.le_antisymm
0.000014     1262 linear_ordered_semiring.add_le_add_left
0.000016     1263 linear_ordered_semiring.le_of_add_le_add_left
0.000015     1264 linear_ordered_semiring.zero_le_one
0.000016     1265 linear_ordered_semiring.mul_lt_mul_of_pos_left
0.000014     1266 linear_ordered_semiring.mul_lt_mul_of_pos_right
0.000016     1267 linear_ordered_semiring.to_ordered_semiring
0.000015     1268 linear_ordered_semiring.le_total
0.000015     1269 linear_ordered_semiring.decidable_le
0.000015     1270 linear_ordered_semiring.decidable_eq
0.000016     1271 linear_ordered_semiring.decidable_lt
0.000014     1272 linear_ordered_semiring.to_linear_order
0.000016     1273 lt_or_eq_of_le
0.000015     1274 lt_trichotomy
0.000016     1275 le_of_not_gt
0.000014     1276 not_lt_of_ge
0.000016     1277 not_lt
0.000015     1278 push_neg.not_lt_eq
0.000013     1279 has_le.le.antisymm
0.000015     1280 ordered_semiring.mul_lt_mul_of_pos_left
0.000014     1281 mul_lt_mul_of_pos_left
0.000016     1282 has_le.le.lt_of_not_le
0.000015     1283 mul_le_mul_of_nonneg_left
0.000016     1284 mul_nonpos_of_nonneg_of_nonpos
0.000014     1285 has_lt.lt.false
0.000016     1286 ordered_semiring.mul_lt_mul_of_pos_right
0.000015     1287 mul_lt_mul_of_pos_right
0.000016     1288 mul_le_mul_of_nonneg_right
0.000015     1289 mul_nonpos_of_nonpos_of_nonneg
0.434879     1290 pos_and_pos_or_neg_and_neg_of_mul_pos
0.000093     1291 linear_ordered_ring.to_linear_ordered_semiring._proof_1
0.000021     1292 linear_ordered_ring.to_linear_ordered_semiring._proof_2
0.000014     1293 linear_ordered_ring.to_linear_ordered_semiring._proof_3
0.000015     1294 linear_ordered_ring.to_linear_ordered_semiring._proof_4
0.000014     1295 linear_ordered_ring.to_linear_ordered_semiring._proof_5
0.000014     1296 linear_ordered_ring.to_linear_ordered_semiring._proof_6
0.000014     1297 linear_ordered_ring.exists_pair_ne
0.000015     1298 linear_ordered_ring.to_linear_ordered_semiring
0.000014     1299 and_imp
0.000014     1300 mul_pos
0.000014     1301 neg_lt_neg
0.000014     1302 lt_of_neg_lt_neg
0.000014     1303 neg_pos_of_neg
0.000014     1304 mul_lt_mul_of_neg_right
0.000015     1305 mul_pos_of_neg_of_neg
0.000018     1306 mul_pos_iff
0.000019     1307 flip
0.000015     1308 linear_ordered_comm_ring.to_linear_ordered_semiring
0.000017     1309 lt_of_not_ge
0.000017     1310 not_le_of_lt
0.000014     1311 has_lt.lt.not_le
0.000017     1312 not_lt_of_le
0.000016     1313 has_le.le.not_lt
0.000017     1314 lt_of_mul_lt_mul_left
0.000014     1315 ne_of_gt
0.000014     1316 inv_pos
0.000017     1317 iff.symm
0.000016     1318 lt_iff_not_ge
0.000015     1319 not_le
0.000014     1320 le_of_lt_or_eq
0.000014     1321 le_iff_lt_or_eq
0.000017     1322 le_iff_eq_or_lt
0.000016     1323 zero_eq_inv
0.000015     1324 inv_nonneg
0.000016     1325 inv_lt_zero
0.000017     1326 div_pos_iff
0.000014     1327 div_pos
0.000016     1328 half_pos
0.000015     1329 is_cau_seq.cauchy₂
0.000016     1330 is_cau_seq.cauchy₃
0.000015     1331 cau_seq.cauchy₃
0.000016     1332 cau_seq.has_add._match_3
0.000015     1333 add_comm_group.to_add_comm_monoid
0.000017     1334 add_neg_cancel_left
0.000015     1335 neg_add_rev
0.000016     1336 commutative
0.000015     1337 associative
0.000015     1338 left_commutative
0.000015     1339 left_comm
0.000016     1340 add_left_comm
0.000014     1341 rat_add_continuous_lemma
0.000016     1342 cau_seq.has_add._proof_1
0.000017     1343 option
0.000014     1344 with_top
0.000016     1345 cau_seq.lim_zero
0.000015     1346 cau_seq.cauchy
0.000016     1347 cau_seq.of_eq._proof_1
0.000014     1348 cau_seq.of_eq
0.000016     1349 cau_seq.has_add
0.000014     1350 cau_seq.has_mul._match_1
0.000016     1351 cau_seq.has_mul._match_2
0.000015     1352 cau_seq.has_mul._match_3
0.000018     1353 list.perm
0.000015     1354 list.perm.refl
0.000014     1355 list.perm.rec_on
0.000016     1356 list.perm.symm
0.000015     1357 list.perm.eqv
0.000016     1358 list.is_setoid
0.000014     1359 multiset
0.000016     1360 out_param
0.000015     1361 has_mem
0.000016     1362 has_mem.mem
0.000014     1363 list.mem._main
0.000017     1364 list.mem
0.000014     1365 list.has_mem
0.000016     1366 list.pairwise
0.000015     1367 list.nodup
0.000016     1368 list.pairwise.drec
0.000015     1369 list.length._main
0.000016     1370 list.length
0.000015     1371 list.eq_nil_of_length_eq_zero
0.000015     1372 id_delta
0.000015     1373 list.length._main.equations._eqn_2
0.000016     1374 list.length.equations._eqn_2
0.000014     1375 add_right_cancel_semigroup
0.000016     1376 add_right_cancel_semigroup.add
0.000015     1377 add_right_cancel_semigroup.add_assoc
0.000016     1378 add_right_cancel_semigroup.to_add_semigroup
0.000015     1379 add_right_cancel_monoid.add_right_cancel
0.000015     1380 add_right_cancel_monoid.to_add_right_cancel_semigroup
0.000015     1381 comm_semiring
0.000016     1382 comm_semiring.add
0.000015     1383 nat.add_succ
0.000016     1384 nat.add_assoc
0.000014     1385 nat.zero_add
0.000037     1386 nat.add_zero
0.000017     1387 nat.add_comm
0.000016     1388 nat.mul._main
0.000014     1389 nat.mul
0.000014     1390 nat.has_mul
0.000018     1391 nat.mul_succ
0.000017     1392 nat.zero_mul
0.000014     1393 nat.succ.inj
0.000019     1394 nat.succ.inj_eq
0.000014     1395 nat.add_left_comm
0.000017     1396 nat.succ_mul
0.000014     1397 nat.left_distrib
0.000016     1398 nat.mul_assoc
0.000014     1399 nat.mul_zero
0.000016     1400 nat.mul_comm
0.000014     1401 nat.mul_one
0.000017     1402 nat.one_mul
0.000014     1403 nat.right_distrib
0.000018     1404 nat.comm_semiring
0.000014     1405 comm_semiring.add_assoc
0.000017     1406 comm_semiring.zero
0.000014     1407 comm_semiring.zero_add
0.000016     1408 comm_semiring.add_zero
0.000015     1409 comm_semiring.add_comm
0.000016     1410 comm_semiring.mul
0.000015     1411 comm_semiring.mul_assoc
0.000016     1412 comm_semiring.one
0.000014     1413 comm_semiring.one_mul
0.000017     1414 comm_semiring.mul_one
0.000014     1415 comm_semiring.zero_mul
0.000016     1416 comm_semiring.mul_zero
0.000015     1417 comm_semiring.left_distrib
0.000016     1418 comm_semiring.right_distrib
0.000015     1419 imp_congr_ctx
0.000015     1420 imp_congr_ctx_eq
0.000016     1421 implies_true_iff
0.000015     1422 nat.add_left_cancel
0.000014     1423 nat.le_add_right
0.000014     1424 nat.le.intro
0.000017     1425 nat.le.dest
0.000014     1426 nat.add_le_add_left
0.000017     1427 nat.le_of_add_le_add_left
0.000015     1428 nat.linear_ordered_semiring._proof_1
0.000014     1429 nat.lt_of_lt_of_le
0.000016     1430 nat.lt_of_succ_le
0.000015     1431 nat.succ_le_of_lt
0.130586     1432 nat.add_lt_add_left
0.000064     1433 nat.lt_add_of_pos_right
0.000024     1434 nat.mul_le_mul_left
0.000015     1435 nat.mul_lt_mul_of_pos_left
0.000014     1436 nat.mul_lt_mul_of_pos_right
0.000014     1437 linear_order.decidable_lt
0.000014     1438 has_bot
0.000015     1439 has_bot.bot
0.000014     1440 order_bot
0.000014     1441 order_bot.le
0.000014     1442 order_bot.lt
0.000015     1443 order_bot.le_refl
0.000014     1444 order_bot.le_trans
0.000014     1445 order_bot.lt_iff_le_not_le
0.000014     1446 order_bot.le_antisymm
0.000014     1447 order_bot.to_partial_order
0.000017     1448 semilattice_sup_bot
0.000017     1449 semilattice_sup_bot.bot
0.000018     1450 semilattice_sup_bot.le
0.000016     1451 semilattice_sup_bot.lt
0.000015     1452 semilattice_sup_bot.le_refl
0.000015     1453 semilattice_sup_bot.le_trans
0.000015     1454 semilattice_sup_bot.lt_iff_le_not_le
0.000016     1455 semilattice_sup_bot.le_antisymm
0.000014     1456 semilattice_sup_bot.bot_le
0.000016     1457 semilattice_sup_bot.to_order_bot
0.000015     1458 semilattice_inf.inf
0.000016     1459 semilattice_inf.to_has_inf
0.000016     1460 semilattice_sup
0.000016     1461 semilattice_sup.sup
0.000017     1462 semilattice_sup.to_has_sup
0.000016     1463 lattice.sup
0.000015     1464 lattice.le_sup_left
0.000016     1465 lattice.le_sup_right
0.000015     1466 lattice.sup_le
0.000016     1467 lattice.to_semilattice_sup
0.000016     1468 distrib_lattice
0.000015     1469 distrib_lattice.le
0.000014     1470 distrib_lattice_of_linear_order._proof_1
0.000017     1471 distrib_lattice_of_linear_order._proof_2
0.000016     1472 distrib_lattice_of_linear_order._proof_3
0.000015     1473 distrib_lattice_of_linear_order._proof_4
0.000024     1474 distrib_lattice_of_linear_order._proof_5
0.000015     1475 distrib_lattice_of_linear_order._proof_6
0.000015     1476 distrib_lattice_of_linear_order._proof_7
0.000014     1477 distrib_lattice_of_linear_order._proof_8
0.000017     1478 distrib_lattice_of_linear_order._proof_9
0.000017     1479 distrib_lattice_of_linear_order._proof_10
0.000017     1480 semilattice_inf.inf_le_left
0.000017     1481 inf_le_left
0.000016     1482 inf_le_left_of_le
0.000015     1483 semilattice_sup.le
0.000016     1484 semilattice_sup.lt
0.000017     1485 semilattice_sup.le_refl
0.000016     1486 semilattice_sup.le_trans
0.000015     1487 semilattice_sup.lt_iff_le_not_le
0.000014     1488 semilattice_sup.le_antisymm
0.000016     1489 semilattice_sup.to_partial_order
0.000014     1490 semilattice_sup.sup_le
0.000016     1491 sup_le
0.000015     1492 semilattice_sup.le_sup_left
0.000015     1493 le_sup_left
0.000015     1494 le_sup_left_of_le
0.000016     1495 semilattice_sup.le_sup_right
0.000014     1496 le_sup_right
0.000017     1497 le_sup_right_of_le
0.000015     1498 sup_le_sup
0.000016     1499 sup_le_sup_left
0.000015     1500 semilattice_inf.le_inf
0.000016     1501 le_inf
0.000014     1502 semilattice_inf.inf_le_right
0.000016     1503 inf_le_right
0.000015     1504 inf_le_right_of_le
0.000016     1505 distrib_lattice_of_linear_order._match_1
0.000014     1506 distrib_lattice_of_linear_order._proof_11
0.000016     1507 distrib_lattice_of_linear_order
0.000015     1508 nat.distrib_lattice
0.000017     1509 distrib_lattice.lt
0.000014     1510 distrib_lattice.le_refl
0.000016     1511 distrib_lattice.le_trans
0.000014     1512 distrib_lattice.lt_iff_le_not_le
0.000016     1513 distrib_lattice.le_antisymm
0.000015     1514 distrib_lattice.sup
0.000016     1515 distrib_lattice.le_sup_left
0.000014     1516 distrib_lattice.le_sup_right
0.000014     1517 distrib_lattice.sup_le
0.000014     1518 nat.semilattice_sup_bot
0.000016     1519 nat.zero_lt_one
0.000015     1520 nat.linear_ordered_semiring._proof_2
0.000016     1521 nat.linear_ordered_semiring
0.000015     1522 nat.ordered_semiring
0.000016     1523 add_right_cancel_semigroup.add_right_cancel
0.000015     1524 add_right_cancel
0.000016     1525 add_left_injective
0.000015     1526 add_left_inj
0.000014     1527 list.perm.length_eq
0.000014     1528 list.perm.eq_nil
0.000014     1529 list.perm.nil_eq
0.000016     1530 false.dcases_on
0.000015     1531 list.mem_split
0.000016     1532 has_subset
0.000014     1533 has_subset.subset
0.000016     1534 list.subset
0.000015     1535 list.has_subset
0.000016     1536 list.mem_cons_iff
0.000015     1537 true_or
0.000016     1538 list.perm.subset
0.000015     1539 list.mem_cons_self
0.000014     1540 list.nil_append
0.000016     1541 list.cons_append
0.000015     1542 list.no_confusion_type
0.000014     1543 list.no_confusion
0.000016     1544 list.cons.inj
0.000014     1545 list.cons.inj_eq
0.000016     1546 and_self
0.000015     1547 list.append_assoc
0.000016     1548 forall_congr
0.000015     1549 forall_congr_eq
0.000016     1550 not.elim
0.000016     1551 forall_prop_of_false
0.000015     1552 list.not_mem_nil
0.000016     1553 forall_true_iff
0.000014     1554 and_iff_left
0.000016     1555 and_true
0.000015     1556 and_iff_right
0.000016     1557 true_and
0.000014     1558 list.pairwise.dcases_on
0.000016     1559 list.pairwise_cons
0.000014     1560 false_or
0.000016     1561 or.imp_right
0.000015     1562 or.assoc
0.000016     1563 or_assoc
0.000016     1564 list.mem_append
0.000015     1565 or_imp_distrib
0.101918     1566 forall_and_distrib
0.000083     1567 list.forall_mem_append
0.000024     1568 and.assoc
0.000014     1569 and.imp
0.000015     1570 and_congr
0.000014     1571 and.swap
0.000014     1572 and.comm
0.000014     1573 and.left_comm
0.000014     1574 and_assoc
0.000014     1575 list.mem_cons_of_mem
0.000014     1576 list.ball_cons
0.000014     1577 list.forall_mem_cons
0.000014     1578 list.pairwise_append
0.000014     1579 list.pairwise_append_comm
0.000015     1580 list.pairwise_middle
0.000017     1581 list.rec_on
0.000017     1582 list.perm_induction_on
0.000016     1583 and.elim_left
0.000017     1584 and.elim_right
0.000016     1585 list.cons.inj_arrow
0.000017     1586 list.perm_middle
0.000016     1587 list.perm.swap'
0.000015     1588 list.perm_inv_core
0.000016     1589 list.perm.cons_inv
0.000014     1590 list.perm.pairwise_iff
0.000016     1591 list.perm.nodup_iff
0.000017     1592 multiset.nodup._proof_1
0.000016     1593 multiset.nodup
0.000017     1594 finset
0.000016     1595 list.perm.mem_iff
0.000015     1596 multiset.mem._proof_1
0.000016     1597 multiset.mem
0.000014     1598 multiset.has_mem
0.000016     1599 finset.val
0.000014     1600 finset.has_mem
0.000016     1601 fintype
0.000017     1602 infinite
0.000014     1603 has_emptyc
0.000018     1604 has_emptyc.emptyc
0.000101     1605 multiset.has_coe
0.000016     1606 multiset.zero
0.000015     1607 multiset.has_zero
0.000014     1608 multiset.nodup_zero
0.000013     1609 finset.empty
0.000014     1610 finset.has_emptyc
0.000014     1611 has_singleton
0.000015     1612 has_singleton.singleton
0.000013     1613 multiset.cons._proof_1
0.000014     1614 multiset.cons
0.000014     1615 multiset.has_singleton
0.000014     1616 congr_fun
0.000015     1617 list.nodup.equations._eqn_1
0.000014     1618 list.forall_mem_ne
0.000014     1619 list.nodup_cons
0.000014     1620 list.nodup_cons_of_nodup
0.000014     1621 list.nodup_nil
0.000014     1622 list.nodup_singleton
0.000014     1623 multiset.nodup_singleton
0.000017     1624 finset.has_singleton
0.000014     1625 quot.induction_on
0.000016     1626 multiset.mem_cons
0.000015     1627 multiset.not_mem_zero
0.000016     1628 multiset.mem_singleton
0.000014     1629 finset.mem_singleton
0.000016     1630 infinite.nontrivial._match_1
0.000015     1631 function.comp
0.000014     1632 decidable.not_imp_symm
0.000014     1633 not.decidable_imp_symm
0.000018     1634 not_forall_of_exists_not
0.000014     1635 decidable.not_forall
0.000016     1636 not_forall
0.000015     1637 infinite.not_fintype
0.000016     1638 infinite.exists_not_mem_finset
0.000014     1639 infinite.nontrivial._match_2
0.000016     1640 infinite.nontrivial
0.000015     1641 nat.cast._main
0.000016     1642 nat.cast
0.000014     1643 nat.cast_coe
0.000019     1644 char_zero
0.000014     1645 classical.dec
0.000016     1646 inhabited
0.000015     1647 classical.inhabited_of_nonempty
0.000016     1648 function.surjective
0.000014     1649 decidable_pred
0.000016     1650 list.not_bex_nil
0.000014     1651 list.eq_or_mem_of_mem_cons
0.000016     1652 list.decidable_bex._match_1
0.000015     1653 list.decidable_bex._main
0.000016     1654 list.decidable_bex
0.000014     1655 not.decidable
0.000017     1656 list.decidable_ball._match_1
0.000015     1657 list.decidable_ball._proof_1
0.000015     1658 list.decidable_ball
0.000015     1659 list.pw_filter._main
0.000016     1660 list.pw_filter
0.000014     1661 implies.decidable._proof_1
0.000016     1662 implies.decidable._proof_2
0.000015     1663 implies.decidable._proof_3
0.000015     1664 implies.decidable
0.000015     1665 ne.decidable
0.000017     1666 list.erase_dup
0.000015     1667 list.countp._main
0.000017     1668 list.countp
0.000014     1669 list.count
0.000016     1670 list.filter._main
0.000015     1671 list.filter
0.000016     1672 list.countp._main.equations._eqn_2
0.000014     1673 list.countp.equations._eqn_2
0.000016     1674 list.filter_cons_of_pos
0.000015     1675 list.countp_cons_of_neg
0.000016     1676 list.filter_cons_of_neg
0.000014     1677 list.countp_eq_length_filter
0.000017     1678 option.cases_on
0.000014     1679 list.filter_map._match_1
0.000016     1680 list.filter_map._main
0.000014     1681 list.filter_map
0.000016     1682 option.guard
0.000015     1683 list.filter_map._main.equations._eqn_2
0.000016     1684 list.filter_map.equations._eqn_2
0.000014     1685 option.guard.equations._eqn_1
0.000016     1686 list.filter_map._match_1.equations._eqn_2
0.000014     1687 list.filter_map._match_1.equations._eqn_1
0.000016     1688 list.filter_map_eq_filter
0.000015     1689 list.perm.drec
0.000016     1690 list.filter_map_nil
0.000015     1691 list.perm.filter_map
0.000016     1692 list.perm.filter
0.000015     1693 list.perm.countp_eq
0.000016     1694 list.perm.count_eq
0.000015     1695 list.count_nil
0.000016     1696 list.count_cons_self
0.000014     1697 list.erase._main
0.000016     1698 list.erase
0.000015     1699 list.erase_nil
0.000015     1700 nat.pred_zero
0.000015     1701 list.erase_cons
0.000016     1702 list.count_cons
0.000014     1703 list.count_cons'
0.000016     1704 nat.pred_succ
0.000014     1705 nat.add_monoid
0.000018     1706 list.count_erase_self
0.000014     1707 list.erasep._main
0.000016     1708 list.erasep
0.000015     1709 list.forall_mem_nil
0.000017     1710 list.erasep_cons
0.000014     1711 if_true
0.106905     1712 list.erasep_cons_of_pos
0.000068     1713 if_false
0.000024     1714 list.erasep_cons_of_neg
0.000015     1715 not_congr
0.000014     1716 list.exists_of_erasep
0.000014     1717 list.erase_cons_head
0.000015     1718 list.erase_cons_tail
0.000014     1719 list.erase_eq_erasep
0.000014     1720 list.exists_erase_eq
0.000015     1721 list.perm_cons_erase
0.000014     1722 list.count.equations._eqn_1
0.000015     1723 list.exists_mem_of_length_pos
0.000014     1724 list.length_pos_of_mem
0.000014     1725 list.length_pos_iff_exists_mem
0.000017     1726 list.sublist
0.000017     1727 list.sublist.dcases_on
0.000017     1728 list.sublist.subset
0.000017     1729 list.filter_sublist
0.000014     1730 list.filter_subset
0.000018     1731 list.mem_of_mem_filter
0.000015     1732 list.of_mem_filter
0.000016     1733 eq.dcases_on
0.000017     1734 list.mem_filter_of_mem
0.000017     1735 list.mem_filter
0.000014     1736 exists_prop
0.000015     1737 list.countp_pos
0.000016     1738 exists_congr
0.000015     1739 exists_eq_left
0.000014     1740 exists_eq_right
0.000014     1741 exists_eq_right'
0.000014     1742 list.count_pos
0.000015     1743 nat.succ_pos
0.000014     1744 nat.succ_pos'
0.000016     1745 list.count_erase_of_ne
0.000017     1746 list.count_cons_of_ne
0.000014     1747 list.perm_iff_count
0.000016     1748 not_or
0.000015     1749 list.decidable_mem._match_1
0.000016     1750 list.decidable_mem._main
0.000018     1751 list.decidable_mem
0.000015     1752 function.swap
0.000016     1753 imp.swap
0.000017     1754 imp_not_comm
0.000014     1755 list.not_mem_of_nodup_cons
0.000017     1756 list.not_nodup_cons_of_mem
0.000017     1757 list.mem_singleton_self
0.000015     1758 list.not_nodup_pair
0.000016     1759 ball.imp_left
0.000017     1760 list.pairwise_of_sublist
0.000017     1761 list.nodup_of_sublist
0.000016     1762 list.cons_sublist_cons
0.000015     1763 list.sublist.rec_on
0.000016     1764 list.sublist.cases_on
0.000015     1765 list.nil_sublist
0.000016     1766 list.sublist.trans
0.000017     1767 list.sublist.refl
0.000014     1768 list.sublist_append_right
0.000017     1769 list.singleton_sublist
0.000015     1770 list.sublist_cons_of_sublist
0.000014     1771 list.nodup_iff_sublist
0.000014     1772 list.repeat._main
0.000016     1773 list.repeat
0.000015     1774 nat.nat_zero_eq_zero
0.000016     1775 list.repeat._main.equations._eqn_1
0.000015     1776 list.repeat.equations._eqn_1
0.000016     1777 list.length._main.equations._eqn_1
0.000017     1778 list.length.equations._eqn_1
0.000014     1779 list.repeat._main.equations._eqn_2
0.000016     1780 list.repeat.equations._eqn_2
0.000016     1781 list.length_repeat
0.000014     1782 list.length_le_of_sublist
0.000016     1783 nat.less_than_or_equal.drec
0.000015     1784 list.repeat_succ
0.000016     1785 list.repeat_sublist_repeat
0.000014     1786 not_not_intro
0.000016     1787 not_true
0.000015     1788 false_and
0.000016     1789 nat.succ_ne_zero
0.000017     1790 or_iff_left_iff_imp
0.000015     1791 imp_self
0.000016     1792 list.mem_repeat
0.000015     1793 list.eq_of_mem_repeat
0.000015     1794 list.eq_repeat_of_mem
0.000016     1795 list.eq_repeat
0.000015     1796 iff_of_true
0.000014     1797 list.tail_eq_of_cons_eq
0.000016     1798 list.cons_injective
0.000014     1799 list.cons_inj
0.000016     1800 iff_of_false
0.000015     1801 list.filter_eq_self
0.000016     1802 list.count_repeat
0.000014     1803 list.sublist.drec
0.000017     1804 list.filter_map._main.equations._eqn_1
0.000016     1805 list.filter_map.equations._eqn_1
0.000015     1806 list.sublist.filter_map
0.000016     1807 list.filter_sublist_filter
0.000014     1808 list.countp_le_of_sublist
0.000016     1809 list.count_le_of_sublist
0.000015     1810 list.le_count_iff_repeat_sublist
0.000016     1811 list.nodup_iff_count_le_one
0.000015     1812 list.count_eq_one_of_mem
0.000016     1813 list.pw_filter_cons_of_pos
0.000015     1814 list.pw_filter_cons_of_neg
0.000016     1815 list.pairwise_pw_filter
0.000015     1816 list.nodup_erase_dup
0.000016     1817 list.erase_dup.equations._eqn_1
0.000014     1818 decidable.not_not
0.000017     1819 not_not
0.000014     1820 list.find._main
0.000016     1821 list.find
0.000015     1822 ball.imp_right
0.000016     1823 list.find_cons_of_pos
0.000015     1824 eq_false_intro
0.000016     1825 option.no_confusion_type
0.000015     1826 option.no_confusion
0.000016     1827 list.find_cons_of_neg
0.000014     1828 list.find_eq_none
0.000016     1829 list.find_mem
0.000015     1830 list.find_some
0.000016     1831 list.pw_filter_sublist
0.000014     1832 list.pw_filter_subset
0.000017     1833 list.forall_mem_pw_filter
0.000016     1834 not_and_of_not_or_not
0.000015     1835 decidable.not_and_distrib
0.000016     1836 not_and_distrib
0.000014     1837 list.mem_erase_dup
0.000017     1838 nat.eq_zero_or_pos
0.000014     1839 nat.pos_of_ne_zero
0.000016     1840 list.count_eq_zero_of_not_mem
0.000014     1841 list.perm.erase_dup
0.000017     1842 multiset.erase_dup._proof_1
0.000014     1843 multiset.erase_dup
0.000017     1844 multiset.nodup_erase_dup
0.000015     1845 multiset.to_finset._proof_1
0.000014     1846 multiset.to_finset
0.000016     1847 list.map._main
0.000015     1848 list.map
0.089571     1849 list.filter_map_cons_some
0.000094     1850 list.map_cons
0.000020     1851 list.filter_map_eq_map
0.000014     1852 list.perm.map
0.000015     1853 multiset.map._proof_1
0.000014     1854 multiset.map
0.000014     1855 finset.image
0.000014     1856 fintype.elems
0.000014     1857 finset.univ
0.000015     1858 finset.mem_def
0.000014     1859 finset.image_val
0.000014     1860 multiset.mem_erase_dup
0.000014     1861 list.exists_of_mem_map
0.000014     1862 list.mem_map_of_mem
0.000018     1863 list.mem_map
0.000018     1864 multiset.mem_map
0.000016     1865 finset.mem_image
0.000016     1866 finset.mem_image_of_mem
0.000015     1867 fintype.complete
0.000016     1868 finset.mem_univ
0.000014     1869 fintype.of_surjective._match_1
0.000016     1870 fintype.of_surjective._proof_1
0.000016     1871 fintype.of_surjective
0.000017     1872 set
0.000014     1873 set.mem
0.000015     1874 set.has_mem
0.000016     1875 function.inv_fun_on
0.000016     1876 set.univ
0.000016     1877 function.inv_fun
0.000016     1878 function.right_inverse
0.000016     1879 function.right_inverse.surjective
0.000016     1880 function.left_inverse.right_inverse
0.000017     1881 function.left_inverse.surjective
0.000016     1882 function.inv_fun_on.equations._eqn_1
0.000014     1883 bex_def
0.000017     1884 function.inv_fun_on_pos
0.000014     1885 function.inv_fun_on_eq
0.000017     1886 function.inv_fun_eq
0.000015     1887 function.left_inverse_inv_fun
0.000017     1888 function.inv_fun_surjective
0.000015     1889 fintype.of_injective._proof_1
0.000019     1890 fintype.of_injective
0.000015     1891 infinite.of_injective
0.000016     1892 fintype.cases_on
0.000014     1893 list.range_core._main
0.000016     1894 list.range_core
0.000014     1895 list.range
0.000016     1896 multiset.range
0.000015     1897 list.range'._main
0.000016     1898 list.range'
0.000014     1899 right_commutative
0.000016     1900 right_comm
0.000014     1901 add_right_comm
0.000016     1902 nat.add_comm_monoid
0.000015     1903 nat.add_comm_semigroup
0.000015     1904 list.range_core_range'
0.000016     1905 list.range_eq_range'
0.000015     1906 list.pairwise.imp_of_mem
0.000016     1907 list.pairwise.imp
0.000014     1908 list.chain
0.000016     1909 list.chain.drec
0.000014     1910 list.pairwise_singleton
0.000016     1911 forall_eq
0.000015     1912 forall_eq_or_imp
0.000016     1913 list.rel_of_pairwise_cons
0.000014     1914 list.chain.dcases_on
0.000017     1915 list.chain_cons
0.000015     1916 list.chain_of_pairwise
0.000017     1917 list.chain_iff_pairwise
0.000014     1918 list.chain.imp'
0.000016     1919 list.chain.imp
0.000014     1920 list.chain_succ_range'
0.000016     1921 list.chain_lt_range'
0.000015     1922 list.pairwise_lt_range'
0.000015     1923 list.nodup_range'
0.000015     1924 list.nodup_range
0.000015     1925 multiset.nodup_range
0.000015     1926 finset.range
0.000017     1927 iff.comm
0.000014     1928 iff_false
0.000016     1929 false_iff
0.000015     1930 imp_intro
0.000015     1931 or_and_distrib_left
0.000015     1932 or_iff_right_of_imp
0.000016     1933 nat.lt_succ_of_le
0.000014     1934 list.mem_range'
0.000016     1935 list.mem_range
0.000016     1936 list.not_mem_range_self
0.000014     1937 multiset.not_mem_range_self
0.000016     1938 finset.not_mem_range_self
0.000014     1939 is_commutative
0.000016     1940 is_associative
0.000015     1941 list.foldr._main
0.000016     1942 list.foldr
0.000014     1943 list.foldr_cons
0.000016     1944 list.perm.foldr_eq
0.000016     1945 multiset.foldr._proof_1
0.000014     1946 multiset.foldr
0.000016     1947 is_commutative.comm
0.000015     1948 is_associative.assoc
0.000015     1949 multiset.fold._proof_1
0.000015     1950 multiset.fold
0.000015     1951 finset.fold
0.000015     1952 semilattice_sup_bot.sup
0.000016     1953 semilattice_sup_bot.le_sup_left
0.000014     1954 semilattice_sup_bot.le_sup_right
0.000014     1955 semilattice_sup_bot.sup_le
0.000014     1956 semilattice_sup_bot.to_semilattice_sup
0.000015     1957 sup_le_iff
0.000016     1958 sup_comm
0.000014     1959 sup_is_commutative
0.000016     1960 finset.sup._proof_1
0.000015     1961 sup_assoc
0.000017     1962 sup_is_associative
0.000014     1963 finset.sup._proof_2
0.000016     1964 order_bot.bot
0.000015     1965 order_bot.to_has_bot
0.000015     1966 finset.sup
0.000017     1967 finset.has_subset
0.000015     1968 multiset.mem_range
0.000016     1969 finset.mem_range
0.000014     1970 multiset.sup._proof_1
0.000016     1971 multiset.sup._proof_2
0.000015     1972 multiset.sup
0.000014     1973 multiset.induction
0.000016     1974 multiset.induction_on
0.000015     1975 multiset.fold_zero
0.000015     1976 multiset.sup_zero
0.000015     1977 order_bot.bot_le
0.000015     1978 bot_le
0.000015     1979 forall_false_left
0.000016     1980 multiset.foldr_cons
0.000014     1981 multiset.fold_cons_left
0.000017     1982 multiset.sup_cons
0.000015     1983 and_congr_right
0.000016     1984 and.congr_right_iff
0.000015     1985 and.congr_left_iff
0.000016     1986 of_iff_true
0.000014     1987 forall_true_iff'
0.000016     1988 forall_2_true_iff
0.000014     1989 multiset.sup_le
0.000016     1990 exists_imp_distrib
0.000015     1991 finset.sup_le_iff
0.000016     1992 finset.le_sup
0.000016     1993 finset.subset_range_sup_succ
0.000015     1994 nat.infinite._match_1
0.000016     1995 nat.infinite
0.323650     1996 char_zero.cast_injective
0.000097     1997 nat.cast_injective
0.000023     1998 char_zero.infinite
0.000014     1999 strict_mono
0.000014     2000 ordering
0.000014     2001 ordering.cases_on
0.000015     2002 ordering.compares._main
0.000014     2003 ordering.compares
0.000014     2004 strict_mono_incr_on
0.000014     2005 strict_mono_incr_on.le_iff_le
0.000014     2006 strict_mono_incr_on.lt_iff_lt
0.000024     2007 le_of_eq
0.000023     2008 eq.le
0.000017     2009 strict_mono_incr_on.compares
0.000018     2010 strict_mono.strict_mono_incr_on
0.000014     2011 strict_mono.compares
0.000018     2012 strict_mono.injective
0.000017     2013 nat.le_induction
0.000015     2014 lt_add_of_pos_right
0.000016     2015 lt_add_of_lt_of_pos
0.000014     2016 nat.strict_mono_cast
0.000016     2017 ordered_semiring.to_char_zero
0.000014     2018 linear_ordered_semiring.exists_pair_ne
0.000017     2019 linear_ordered_semiring.to_nontrivial
0.000017     2020 linear_ordered_semiring.to_char_zero
0.000016     2021 acc
0.000017     2022 well_founded
0.000025     2023 euclidean_domain
0.000019     2024 euclidean_domain.add
0.000016     2025 euclidean_domain.add_assoc
0.000015     2026 euclidean_domain.zero
0.000016     2027 euclidean_domain.zero_add
0.000014     2028 euclidean_domain.add_zero
0.000016     2029 euclidean_domain.neg
0.000015     2030 euclidean_domain.sub
0.000016     2031 euclidean_domain.sub_eq_add_neg
0.000014     2032 euclidean_domain.add_left_neg
0.000017     2033 euclidean_domain.add_comm
0.000015     2034 euclidean_domain.mul
0.000014     2035 euclidean_domain.mul_assoc
0.000014     2036 euclidean_domain.one
0.000024     2037 euclidean_domain.one_mul
0.000016     2038 euclidean_domain.mul_one
0.000014     2039 euclidean_domain.left_distrib
0.000014     2040 euclidean_domain.right_distrib
0.000016     2041 euclidean_domain.mul_comm
0.000015     2042 euclidean_domain.to_comm_ring
0.000016     2043 field.to_euclidean_domain._proof_1
0.000014     2044 sub_zero
0.000016     2045 inv_mul_cancel_right'
0.000014     2046 div_mul_cancel
0.000016     2047 mul_div_cancel'
0.000014     2048 field.to_euclidean_domain._proof_2
0.000017     2049 field.to_euclidean_domain._match_1
0.000014     2050 field.to_euclidean_domain._match_2
0.000018     2051 field.to_euclidean_domain._proof_3
0.000014     2052 field.to_euclidean_domain._proof_4
0.000016     2053 field.to_euclidean_domain._match_3
0.000014     2054 field.to_euclidean_domain._proof_5
0.000016     2055 field.to_euclidean_domain
0.000014     2056 mul_lt_mul'
0.000016     2057 rat_mul_continuous_lemma
0.000014     2058 cau_seq.has_mul._match_4
0.000014     2059 add_le_add_right
0.000014     2060 add_lt_add_of_le_of_lt
0.000014     2061 lt_add_of_le_of_pos
0.000016     2062 lt_add_one
0.000015     2063 multiset.sum._proof_1
0.000015     2064 multiset.sum
0.000015     2065 finset.sum
0.000016     2066 lt_or_ge
0.000014     2067 lt_or_le
0.000014     2068 finset.fold_singleton
0.000016     2069 add_comm_semigroup.to_is_commutative
0.000014     2070 add_semigroup.to_is_associative
0.000016     2071 finset.sum_singleton
0.000014     2072 has_union
0.000016     2073 has_union.union
0.000014     2074 quotient.lift
0.000016     2075 setoid.iseqv
0.000015     2076 setoid.refl
0.000014     2077 quotient.lift₂._proof_1
0.000014     2078 quotient.ind
0.000016     2079 quotient.lift₂._proof_2
0.000014     2080 quotient.lift₂
0.000016     2081 quotient.lift_on₂
0.000014     2082 has_insert
0.000016     2083 has_insert.insert
0.000015     2084 list.insert
0.000015     2085 list.has_insert
0.000015     2086 list.union
0.000016     2087 list.has_union
0.000014     2088 list.nil_union
0.000017     2089 list.cons_union
0.000014     2090 list.insert.def
0.000018     2091 list.insert_of_mem
0.000014     2092 list.insert_of_not_mem
0.000016     2093 list.perm_cons
0.000014     2094 list.perm.insert
0.000016     2095 not.intro
0.000014     2096 list.not_mem_cons_of_ne_of_not_mem
0.000016     2097 list.perm_insert_swap
0.000014     2098 list.perm.union_right
0.000017     2099 list.perm.union_left
0.000025     2100 list.perm.union
0.000016     2101 multiset.ndunion._proof_1
0.000014     2102 multiset.ndunion
0.000016     2103 quotient.induction_on₂
0.000014     2104 list.nodup_insert
0.000017     2105 list.nodup_union
0.000015     2106 multiset.nodup_ndunion
0.000015     2107 finset.nodup
0.000015     2108 finset.has_union._proof_1
0.000016     2109 finset.has_union
0.000014     2110 has_sdiff
0.000016     2111 has_sdiff.sdiff
0.000014     2112 list.diff._main
0.000016     2113 list.diff
0.000015     2114 list.diff_nil
0.000016     2115 list.diff._main.equations._eqn_2
0.000015     2116 list.diff.equations._eqn_2
0.000017     2117 list.forall_mem_of_forall_mem_cons
0.000014     2118 list.erasep_of_forall_not
0.000017     2119 list.erase_of_not_mem
0.000014     2120 list.diff_cons
0.000016     2121 list.mem_of_ne_of_mem
0.000018     2122 list.erasep_append_left
0.000017     2123 list.erase_append_left
0.000014     2124 list.erasep_append_right
0.000016     2125 list.erase_append_right
0.000014     2126 decidable_of_decidable_of_iff._proof_1
0.000016     2127 decidable_of_decidable_of_iff
0.000015     2128 decidable_of_iff
0.000016     2129 has_coe_to_sort
0.000014     2130 has_coe_to_sort.S
0.094626     2131 has_coe_to_sort.coe
0.000073     2132 coe_sort
0.000020     2133 bool
0.000015     2134 coe_sort_bool
0.000014     2135 bool.cases_on
0.000014     2136 bor._main
0.000014     2137 bor
0.000014     2138 list.any
0.000015     2139 decidable.to_bool
0.000014     2140 bool.no_confusion_type
0.000014     2141 bool.no_confusion
0.000014     2142 coe_sort_ff
0.000015     2143 bool.not_ff
0.000018     2144 list.not_exists_mem_nil
0.000017     2145 list.any_cons
0.000017     2146 as_true
0.000017     2147 of_as_true
0.000015     2148 iff.decidable._proof_1
0.000014     2149 iff.decidable._proof_2
0.000016     2150 iff.decidable._proof_3
0.000017     2151 iff.decidable._proof_4
0.000017     2152 iff.decidable
0.000016     2153 bool.ff_ne_tt
0.000017     2154 bool.decidable_eq._main
0.000016     2155 bool.decidable_eq
0.000015     2156 bor_coe_iff
0.000014     2157 bex.elim
0.000015     2158 bex.intro
0.000014     2159 list.or_exists_of_exists_mem_cons
0.000017     2160 list.exists_mem_cons_of
0.000016     2161 list.exists_mem_cons_of_exists
0.000015     2162 list.exists_mem_cons_iff
0.000016     2163 list.any_iff_exists
0.000018     2164 exists_prop_congr
0.000016     2165 exists_prop_congr'
0.000014     2166 to_bool_iff
0.000014     2167 of_to_bool_true
0.000017     2168 to_bool_true
0.000017     2169 bool.of_to_bool_iff
0.000014     2170 list.any_iff_exists_prop
0.000014     2171 list.decidable_exists_mem._proof_1
0.000017     2172 list.decidable_exists_mem
0.000016     2173 not_exists
0.000015     2174 not_and
0.000016     2175 list.exists_or_eq_self_of_erasep
0.000015     2176 list.sublist_cons
0.000016     2177 list.sublist_of_cons_sublist
0.000017     2178 list.sublist_of_cons_sublist_cons
0.000014     2179 list.cons_sublist_cons_iff
0.000017     2180 list.append_sublist_append_left
0.000014     2181 list.erasep_sublist
0.000018     2182 list.erase_sublist
0.000015     2183 list.erase_subset
0.000014     2184 list.mem_of_mem_erase
0.000022     2185 list.erase_comm
0.000045     2186 list.perm.diff_left
0.000015     2187 list.perm.erase
0.000018     2188 list.perm.diff_right
0.000017     2189 list.perm.diff
0.000016     2190 multiset.sub._proof_1
0.000016     2191 multiset.sub
0.000016     2192 multiset.has_sub
0.000018     2193 list.subperm
0.000017     2194 list.eq_nil_of_subset_nil
0.000016     2195 list.eq_nil_of_sublist_nil
0.000016     2196 list.exists_perm_sublist
0.000017     2197 list.perm.subperm_left
0.000016     2198 list.perm.subperm_right
0.000017     2199 multiset.le._proof_1
0.000016     2200 multiset.le
0.000017     2201 preorder.lt._default
0.000016     2202 list.perm.subperm
0.000017     2203 list.subperm.refl
0.000016     2204 multiset.partial_order._proof_1
0.000016     2205 list.subperm.trans
0.000017     2206 multiset.partial_order._proof_2
0.000016     2207 multiset.partial_order._proof_3
0.000017     2208 nat.succ.inj_arrow
0.000016     2209 list.eq_of_sublist_of_length_eq
0.000016     2210 list.eq_of_sublist_of_length_le
0.000017     2211 list.subperm.perm_of_length_le
0.000017     2212 list.subperm.length_le
0.000016     2213 list.subperm.antisymm
0.000017     2214 multiset.partial_order._proof_4
0.000016     2215 multiset.partial_order
0.000017     2216 multiset.le_induction_on
0.000016     2217 multiset.nodup_of_le
0.000016     2218 list.perm.append_right
0.000017     2219 list.perm.append_left
0.000016     2220 list.perm.append
0.000016     2221 multiset.add._proof_1
0.000017     2222 multiset.add
0.000016     2223 multiset.has_add
0.000017     2224 multiset.sub_zero
0.000016     2225 quotient.induction_on₃
0.000016     2226 multiset.ordered_cancel_add_comm_monoid._proof_1
0.000017     2227 list.sublist.subperm
0.000016     2228 list.subperm_cons
0.000018     2229 list.subperm_append_left
0.000016     2230 multiset.add_le_add_left
0.000016     2231 multiset.add_left_cancel
0.000017     2232 multiset.zero_add
0.000017     2233 list.append_nil
0.000016     2234 list.perm_append_comm
0.000017     2235 multiset.add_comm
0.000016     2236 multiset.ordered_cancel_add_comm_monoid._proof_2
0.000017     2237 multiset.ordered_cancel_add_comm_monoid._proof_3
0.000016     2238 multiset.ordered_cancel_add_comm_monoid._proof_4
0.000017     2239 multiset.ordered_cancel_add_comm_monoid._proof_5
0.000016     2240 multiset.ordered_cancel_add_comm_monoid._proof_6
0.000017     2241 multiset.ordered_cancel_add_comm_monoid._proof_7
0.000017     2242 multiset.ordered_cancel_add_comm_monoid._proof_8
0.000016     2243 multiset.ordered_cancel_add_comm_monoid
0.000016     2244 nonempty.elim
0.000017     2245 forall_const
0.000016     2246 inhabited.default
0.000017     2247 nonempty_of_inhabited
0.000017     2248 multiset.inhabited_multiset
0.000016     2249 multiset.erase._proof_1
0.000016     2250 multiset.erase
0.000017     2251 multiset.sub_cons
0.000016     2252 subsingleton
0.000017     2253 psigma
0.000016     2254 psigma.fst
0.000017     2255 quot.indep
0.000017     2256 psigma.snd
0.000016     2257 psigma.cases_on
0.000017     2258 psigma.eq
0.000016     2259 quot.indep_coherent
0.000016     2260 quot.lift_indep_pr1
0.000017     2261 quot.rec
0.000016     2262 subsingleton.elim
0.000017     2263 quot.rec_on_subsingleton._proof_1
0.000016     2264 quot.rec_on_subsingleton
0.093378     2265 proof_irrel
0.000079     2266 decidable.subsingleton._match_3
0.000027     2267 decidable.subsingleton._match_2
0.000020     2268 decidable.subsingleton._match_1
0.000015     2269 decidable.subsingleton
0.000014     2270 multiset.decidable_mem._proof_1
0.000014     2271 multiset.decidable_mem
0.000015     2272 multiset.cons_erase
0.000014     2273 multiset.erase_of_not_mem
0.000018     2274 multiset.quot_mk_to_coe''
0.000017     2275 multiset.cons_coe
0.000016     2276 has_le.le.lt_of_ne
0.000017     2277 lt_iff_le_and_ne
0.000014     2278 multiset.coe_le
0.000015     2279 setoid.trans
0.000016     2280 setoid.symm
0.000015     2281 _private.100293989.rel._proof_1
0.000017     2282 _private.100293989.rel
0.000017     2283 _private.3833919617.rel.refl
0.000014     2284 _private.3059602155.eq_imp_rel
0.000015     2285 quotient.exact
0.000016     2286 quotient.eq
0.000015     2287 multiset.coe_eq_coe
0.000018     2288 multiset.lt_cons_self
0.000016     2289 multiset.le_cons_self
0.000014     2290 multiset.le_cons_erase
0.000015     2291 multiset.cons_le_cons_iff
0.000016     2292 multiset.cons_le_cons
0.000014     2293 multiset.erase_le
0.000018     2294 list.sublist_or_mem_of_sublist
0.000017     2295 multiset.mem_cons_self
0.000014     2296 multiset.le_cons_of_not_mem
0.000015     2297 multiset.erase_le_iff_le_cons
0.000016     2298 multiset.singleton_add
0.000015     2299 multiset.cons_add
0.000016     2300 multiset.add_cons
0.000018     2301 multiset.sub_le_iff_le_add
0.000016     2302 le_add_iff_nonneg_right
0.000017     2303 multiset.zero_le
0.000016     2304 multiset.le_add_right
0.000017     2305 multiset.sub_le_self
0.000016     2306 finset.has_sdiff._proof_1
0.000017     2307 finset.has_sdiff
0.000016     2308 le_add_of_nonneg_left
0.000017     2309 comm_monoid.one
0.000016     2310 comm_monoid.one_mul
0.000017     2311 comm_monoid.mul_one
0.000016     2312 comm_monoid.to_monoid
0.000017     2313 mul_left_comm
0.000016     2314 multiset.prod._proof_1
0.000017     2315 multiset.prod
0.000016     2316 finset.prod
0.000017     2317 has_pow
0.000016     2318 has_pow.pow
0.000016     2319 monoid.pow._main
0.000016     2320 monoid.pow
0.000017     2321 monoid.has_pow
0.000016     2322 add_monoid_hom
0.000017     2323 add_monoid_hom.to_fun
0.000016     2324 add_monoid_hom.has_coe_to_fun
0.000017     2325 multiset.card._proof_1
0.000016     2326 multiset.card._proof_2
0.000017     2327 list.length_append
0.000016     2328 multiset.card._proof_3
0.000017     2329 multiset.card
0.000016     2330 multiset.repeat
0.000017     2331 finset.prod.equations._eqn_1
0.000017     2332 function.const
0.000016     2333 list.map._main.equations._eqn_2
0.000016     2334 list.map.equations._eqn_2
0.000017     2335 list.map_const
0.000017     2336 multiset.map_const
0.000017     2337 list.foldl._main
0.000016     2338 list.foldl
0.000017     2339 list.prod
0.000023     2340 multiset.repeat.equations._eqn_1
0.000018     2341 list.foldl._main.equations._eqn_2
0.000014     2342 list.foldl.equations._eqn_2
0.000015     2343 list.perm.foldl_eq'
0.000015     2344 list.perm.foldl_eq
0.000017     2345 multiset.foldl._proof_1
0.000017     2346 multiset.foldl
0.000016     2347 mul_right_comm
0.000017     2348 list.reverse_core._main
0.000016     2349 list.reverse_core
0.000017     2350 list.reverse
0.000016     2351 list.reverse_core._main.equations._eqn_2
0.000016     2352 list.reverse_core.equations._eqn_2
0.000017     2353 list.reverse_cons
0.000016     2354 list.perm_append_singleton
0.000017     2355 list.reverse_perm
0.000016     2356 multiset.coe_reverse
0.000017     2357 list.foldl_cons
0.000016     2358 list.foldl_append
0.000016     2359 list.foldl_nil
0.000017     2360 list.foldr._main.equations._eqn_2
0.000016     2361 list.foldr.equations._eqn_2
0.000017     2362 list.foldl_reverse
0.000016     2363 list.reverse_nil
0.000017     2364 list.reverse_append
0.000016     2365 list.reverse_reverse
0.000016     2366 list.foldr_reverse
0.000016     2367 multiset.coe_foldr_swap
0.000017     2368 multiset.foldr_swap
0.000016     2369 multiset.prod_eq_foldl
0.000017     2370 multiset.coe_prod
0.000016     2371 list.prod.equations._eqn_1
0.000016     2372 list.foldl_assoc
0.000017     2373 semigroup.to_is_associative
0.000014     2374 list.prod_cons
0.000016     2375 list.prod_repeat
0.000016     2376 multiset.prod_repeat
0.000017     2377 pow_succ
0.000016     2378 one_pow
0.000017     2379 finset.prod_const_one
0.000016     2380 multiplicative
0.000016     2381 equiv
0.000017     2382 equiv.to_fun
0.000016     2383 equiv.has_coe_to_fun
0.000016     2384 multiplicative.of_add._proof_1
0.000016     2385 multiplicative.of_add._proof_2
0.000017     2386 multiplicative.of_add
0.000016     2387 equiv.inv_fun
0.000016     2388 equiv.right_inv
0.000017     2389 equiv.left_inv
0.000016     2390 equiv.symm
0.000016     2391 multiplicative.to_add
0.000017     2392 multiplicative.has_mul
0.000016     2393 multiplicative.semigroup
0.000016     2394 multiplicative.monoid._proof_1
0.000017     2395 multiplicative.has_one
0.000016     2396 multiplicative.mul_one_class._proof_1
0.000017     2397 multiplicative.mul_one_class._proof_2
0.000016     2398 multiplicative.mul_one_class
0.000017     2399 multiplicative.monoid._proof_2
0.151410     2400 multiplicative.monoid._proof_3
0.000066     2401 multiplicative.monoid
0.000024     2402 multiplicative.comm_monoid._proof_1
0.000015     2403 multiplicative.comm_monoid._proof_2
0.000014     2404 multiplicative.comm_monoid._proof_3
0.000014     2405 multiplicative.comm_semigroup._proof_1
0.000015     2406 multiplicative.comm_semigroup._proof_2
0.000014     2407 multiplicative.comm_semigroup
0.000014     2408 multiplicative.comm_monoid._proof_4
0.000017     2409 multiplicative.comm_monoid
0.000017     2410 finset.sum_const_zero
0.000015     2411 multiset.ndinsert._proof_1
0.000016     2412 multiset.ndinsert
0.000017     2413 multiset.nodup_ndinsert
0.000014     2414 finset.has_insert._proof_1
0.000019     2415 finset.has_insert
0.000017     2416 multiset.nodup_cons
0.000015     2417 finset.cons._proof_1
0.000016     2418 finset.cons
0.000016     2419 finset.cases_on
0.000017     2420 finset.eq_of_veq
0.000014     2421 finset.cons_val
0.000014     2422 finset.cons_induction
0.000017     2423 finset.val_inj
0.000014     2424 list.cons_subperm_of_mem
0.000016     2425 list.subperm_of_subset_nodup
0.000017     2426 list.perm_ext
0.000017     2427 multiset.nodup_ext
0.000016     2428 finset.ext_iff
0.000017     2429 finset.ext
0.000016     2430 finset.mem_cons
0.000016     2431 list.mem_insert_iff
0.000016     2432 multiset.mem_ndinsert
0.000017     2433 finset.mem_insert
0.000016     2434 finset.cons_eq_insert
0.000016     2435 finset.induction
0.000017     2436 finset.induction_on
0.000016     2437 finset.fold.equations._eqn_1
0.000017     2438 finset.insert_val
0.000016     2439 multiset.ndinsert_of_not_mem
0.000017     2440 multiset.map_cons
0.000016     2441 finset.fold_insert
0.000017     2442 finset.sum_insert
0.000016     2443 has_le.le.trans
0.000016     2444 add_le_add
0.000017     2445 multiset.mem_ndinsert_self
0.000016     2446 finset.mem_insert_self
0.000017     2447 multiset.mem_ndinsert_of_mem
0.000016     2448 finset.mem_insert_of_mem
0.000017     2449 finset.sum_le_sum
0.000016     2450 finset.sum_nonneg
0.000017     2451 multiset.subset
0.000016     2452 multiset.has_subset
0.000017     2453 multiset.mem_of_subset
0.000016     2454 list.subset.trans
0.000016     2455 list.subperm.subset
0.000017     2456 multiset.subset_of_le
0.000016     2457 multiset.mem_of_le
0.000016     2458 multiset.countp._proof_1
0.000017     2459 multiset.countp
0.000016     2460 multiset.count
0.000016     2461 iff_iff_implies_and_implies
0.000017     2462 iff_def
0.000016     2463 decidable.not_imp_comm
0.000017     2464 decidable.iff_not_comm
0.000016     2465 iff_not_comm
0.000017     2466 multiset.count.equations._eqn_1
0.000016     2467 multiset.filter._proof_1
0.000016     2468 multiset.filter
0.000017     2469 multiset.countp_eq_card_filter
0.000016     2470 multiset.card_pos_iff_exists_mem
0.000017     2471 multiset.mem_filter
0.000016     2472 multiset.countp_pos
0.000016     2473 multiset.count_pos
0.000017     2474 canonically_ordered_add_monoid
0.000016     2475 canonically_ordered_add_monoid.add
0.000015     2476 canonically_ordered_add_monoid.add_assoc
0.000014     2477 canonically_ordered_add_monoid.zero
0.000016     2478 canonically_ordered_add_monoid.zero_add
0.000017     2479 canonically_ordered_add_monoid.add_zero
0.000016     2480 canonically_ordered_add_monoid.add_comm
0.000016     2481 canonically_ordered_add_monoid.le
0.000017     2482 canonically_ordered_add_monoid.lt
0.000016     2483 canonically_ordered_add_monoid.le_refl
0.000017     2484 canonically_ordered_add_monoid.le_trans
0.000016     2485 canonically_ordered_add_monoid.lt_iff_le_not_le
0.000017     2486 canonically_ordered_add_monoid.le_antisymm
0.000016     2487 canonically_ordered_add_monoid.add_le_add_left
0.000016     2488 canonically_ordered_add_monoid.lt_of_add_lt_add_left
0.000017     2489 canonically_ordered_add_monoid.to_ordered_add_comm_monoid
0.000017     2490 canonically_ordered_add_monoid.le_iff_exists_add
0.000016     2491 le_iff_exists_add
0.000016     2492 zero_le
0.000017     2493 pos_iff_ne_zero
0.000016     2494 comm_semiring.to_semiring
0.000017     2495 canonically_ordered_comm_semiring
0.000016     2496 canonically_ordered_comm_semiring.add
0.000016     2497 canonically_ordered_comm_semiring.add_assoc
0.000017     2498 canonically_ordered_comm_semiring.zero
0.000016     2499 canonically_ordered_comm_semiring.zero_add
0.000017     2500 canonically_ordered_comm_semiring.add_zero
0.000016     2501 canonically_ordered_comm_semiring.add_comm
0.000017     2502 canonically_ordered_comm_semiring.le
0.000016     2503 canonically_ordered_comm_semiring.lt
0.000017     2504 canonically_ordered_comm_semiring.le_refl
0.000016     2505 canonically_ordered_comm_semiring.le_trans
0.000016     2506 canonically_ordered_comm_semiring.lt_iff_le_not_le
0.000017     2507 canonically_ordered_comm_semiring.le_antisymm
0.000016     2508 canonically_ordered_comm_semiring.add_le_add_left
0.000016     2509 canonically_ordered_comm_semiring.lt_of_add_lt_add_left
0.000017     2510 canonically_ordered_comm_semiring.bot
0.094997     2511 canonically_ordered_comm_semiring.bot_le
0.000066     2512 canonically_ordered_comm_semiring.le_iff_exists_add
0.000024     2513 canonically_ordered_comm_semiring.to_canonically_ordered_add_monoid
0.000015     2514 nat.canonically_ordered_comm_semiring._proof_1
0.000014     2515 nat.canonically_ordered_comm_semiring._proof_2
0.000014     2516 nat.canonically_ordered_comm_semiring._proof_3
0.000015     2517 nat.canonically_ordered_comm_semiring._proof_4
0.000014     2518 nat.canonically_ordered_comm_semiring._proof_5
0.000014     2519 nat.canonically_ordered_comm_semiring._proof_6
0.000017     2520 nat.canonically_ordered_comm_semiring._proof_7
0.000017     2521 nat.canonically_ordered_comm_semiring._proof_8
0.000016     2522 nat.canonically_ordered_comm_semiring._proof_9
0.000017     2523 nat.canonically_ordered_comm_semiring._proof_10
0.000016     2524 nat.canonically_ordered_comm_semiring._match_1
0.000015     2525 nat.canonically_ordered_comm_semiring._match_2
0.000018     2526 nat.canonically_ordered_comm_semiring._proof_11
0.000018     2527 nat.canonically_ordered_comm_semiring._proof_12
0.000017     2528 nat.canonically_ordered_comm_semiring._proof_13
0.000016     2529 nat.canonically_ordered_comm_semiring._proof_14
0.000015     2530 nat.canonically_ordered_comm_semiring._proof_15
0.000014     2531 nat.canonically_ordered_comm_semiring._proof_16
0.000016     2532 nat.canonically_ordered_comm_semiring._proof_17
0.000019     2533 nat.canonically_ordered_comm_semiring._proof_18
0.000014     2534 comm_semiring.mul_comm
0.000017     2535 nat.canonically_ordered_comm_semiring._proof_19
0.000017     2536 nat.add_one
0.000017     2537 nat.eq_zero_of_add_eq_zero_right
0.000016     2538 nat.eq_zero_of_add_eq_zero_left
0.000016     2539 nat.eq_zero_of_mul_eq_zero
0.000016     2540 nat.canonically_ordered_comm_semiring._proof_20
0.000017     2541 nat.canonically_ordered_comm_semiring
0.000017     2542 multiset.count_eq_zero
0.000016     2543 nat.sub._main
0.000017     2544 nat.sub
0.000016     2545 nat.has_sub
0.000015     2546 multiset.count_zero
0.000016     2547 nat.sub_zero
0.000016     2548 list.countp_cons_of_pos
0.000017     2549 multiset.countp_cons_of_pos
0.000016     2550 multiset.count_cons_self
0.000017     2551 multiset.count_erase_self
0.000017     2552 nat.sub_succ
0.000016     2553 nat.sub_one
0.000017     2554 nat.sub_sub
0.000016     2555 nat.one_add
0.000016     2556 nat.pred_sub
0.000017     2557 multiset.countp_cons_of_neg
0.000016     2558 multiset.count_cons_of_ne
0.000017     2559 multiset.count_erase_of_ne
0.000016     2560 multiset.count_sub
0.000017     2561 nat.add_le_add_right
0.000016     2562 nat.rec_on
0.000016     2563 nat.succ_sub_succ_eq_sub
0.000017     2564 nat.succ_sub_succ
0.000017     2565 nat.add_sub_add_right
0.000016     2566 nat.le_of_sub_eq_zero
0.000016     2567 nat.add_sub_add_left
0.000016     2568 nat.zero_sub
0.000017     2569 nat.sub_self_add
0.000016     2570 nat.sub_eq_zero_of_le
0.000017     2571 nat.sub_eq_zero_iff_le
0.000016     2572 multiset.nodup_iff_count_le_one
0.000016     2573 multiset.mem_add
0.000017     2574 multiset.le_sub_add
0.000016     2575 multiset.mem_sub_of_nodup
0.000017     2576 finset.mem_sdiff
0.000016     2577 semilattice_inf_bot
0.000016     2578 semilattice_inf_bot.bot
0.000017     2579 semilattice_inf_bot.le
0.000016     2580 semilattice_inf_bot.lt
0.000017     2581 semilattice_inf_bot.le_refl
0.000016     2582 semilattice_inf_bot.le_trans
0.000016     2583 semilattice_inf_bot.lt_iff_le_not_le
0.000017     2584 semilattice_inf_bot.le_antisymm
0.000016     2585 semilattice_inf_bot.bot_le
0.000017     2586 semilattice_inf_bot.to_order_bot
0.000016     2587 semilattice_inf_bot.inf
0.000017     2588 semilattice_inf_bot.inf_le_left
0.000017     2589 semilattice_inf_bot.inf_le_right
0.000016     2590 semilattice_inf_bot.le_inf
0.000017     2591 semilattice_inf_bot.to_semilattice_inf
0.000016     2592 disjoint
0.000016     2593 has_ssubset
0.000017     2594 has_ssubset.ssubset
0.000016     2595 finset.has_ssubset
0.000016     2596 multiset.subset.refl
0.000017     2597 finset.subset.refl
0.000016     2598 multiset.subset.trans
0.000017     2599 finset.subset.trans
0.000016     2600 finset.partial_order._proof_1
0.000017     2601 finset.subset.antisymm
0.000016     2602 finset.partial_order
0.000017     2603 finset.lattice._proof_1
0.000017     2604 finset.lattice._proof_2
0.000016     2605 finset.lattice._proof_3
0.000016     2606 finset.lattice._proof_4
0.000017     2607 list.mem_union
0.000016     2608 multiset.mem_ndunion
0.000017     2609 finset.mem_union
0.000016     2610 finset.mem_union_left
0.000017     2611 finset.subset_union_left
0.000016     2612 finset.lattice._proof_5
0.000017     2613 finset.mem_union_right
0.000016     2614 finset.subset_union_right
0.000017     2615 finset.lattice._proof_6
0.000017     2616 multiset.le_iff_subset
0.000016     2617 finset.val_le_iff
0.000016     2618 multiset.zero_ndunion
0.000017     2619 multiset.zero_subset
0.000016     2620 multiset.cons_ndunion
0.000017     2621 list.is_suffix
0.105969     2622 list.is_infix
0.000069     2623 list.sublist_append_left
0.000024     2624 list.sublist_of_infix
0.000014     2625 list.infix_of_suffix
0.000014     2626 list.sublist_of_suffix
0.000014     2627 list.suffix_refl
0.000014     2628 list.suffix_append
0.000015     2629 list.suffix_cons
0.000014     2630 list.suffix_insert
0.000019     2631 multiset.le_ndinsert_self
0.000017     2632 multiset.ndinsert_of_mem
0.000017     2633 multiset.ndinsert_le
0.000014     2634 and_comm
0.000016     2635 multiset.subset_iff
0.000019     2636 multiset.cons_subset
0.000017     2637 multiset.ndunion_le
0.000017     2638 finset.union_subset
0.000016     2639 finset.lattice._proof_7
0.000014     2640 has_inter
0.000015     2641 has_inter.inter
0.000014     2642 multiset.ndinter
0.000017     2643 list.pairwise_filter_of_pairwise
0.000017     2644 list.nodup_filter
0.000016     2645 multiset.nodup_filter
0.000016     2646 multiset.nodup_ndinter
0.000017     2647 finset.has_inter._proof_1
0.000016     2648 finset.has_inter
0.000014     2649 multiset.mem_ndinter
0.000015     2650 finset.mem_inter
0.000016     2651 finset.mem_of_mem_inter_left
0.000016     2652 finset.inter_subset_left
0.000017     2653 finset.lattice._proof_8
0.000016     2654 finset.mem_of_mem_inter_right
0.000016     2655 finset.inter_subset_right
0.000016     2656 finset.lattice._proof_9
0.000017     2657 finset.subset_iff
0.000016     2658 finset.subset_inter
0.000016     2659 finset.lattice._proof_10
0.000017     2660 finset.lattice
0.000016     2661 finset.semilattice_inf_bot._proof_1
0.000016     2662 finset.semilattice_inf_bot._proof_2
0.000017     2663 finset.semilattice_inf_bot._proof_3
0.000016     2664 finset.semilattice_inf_bot._proof_4
0.000017     2665 finset.empty_subset
0.000016     2666 finset.semilattice_inf_bot._proof_5
0.000017     2667 finset.semilattice_inf_bot._proof_6
0.000016     2668 finset.semilattice_inf_bot._proof_7
0.000016     2669 finset.semilattice_inf_bot
0.000017     2670 multiset.coe_fold_l
0.000016     2671 multiset.fold_eq_foldl
0.000017     2672 multiset.foldl_cons
0.000016     2673 multiset.fold_cons'_right
0.000016     2674 multiset.fold_cons_right
0.000017     2675 of_eq_true
0.000016     2676 eq_true_intro
0.000016     2677 multiset.fold_add
0.000017     2678 list.map._main.equations._eqn_1
0.000016     2679 list.map.equations._eqn_1
0.000016     2680 list.map_append
0.000017     2681 multiset.map_add
0.000016     2682 multiset.union
0.000017     2683 multiset.has_union
0.000016     2684 multiset.le_union_left
0.000016     2685 le_add_iff_nonneg_left
0.000017     2686 multiset.le_add_left
0.000016     2687 multiset.le_union_right
0.000016     2688 multiset.ndunion_le_union
0.000016     2689 multiset.canonically_ordered_add_monoid._proof_1
0.000017     2690 multiset.canonically_ordered_add_monoid._proof_2
0.000016     2691 multiset.canonically_ordered_add_monoid._proof_3
0.000016     2692 multiset.canonically_ordered_add_monoid._proof_4
0.000016     2693 multiset.canonically_ordered_add_monoid._proof_5
0.000017     2694 multiset.canonically_ordered_add_monoid._proof_6
0.000017     2695 multiset.canonically_ordered_add_monoid._proof_7
0.000017     2696 multiset.canonically_ordered_add_monoid._proof_8
0.000016     2697 multiset.canonically_ordered_add_monoid._proof_9
0.000016     2698 multiset.canonically_ordered_add_monoid._proof_10
0.000017     2699 list.sublist.exists_perm_append
0.000016     2700 multiset.le_iff_exists_add
0.000017     2701 multiset.canonically_ordered_add_monoid
0.000016     2702 forall_prop_of_true
0.000017     2703 forall_true_left
0.000016     2704 multiset.add_sub_of_le
0.000016     2705 multiset.sub_add_cancel
0.000016     2706 multiset.eq_union_left
0.000017     2707 list.sublist.erasep
0.000016     2708 list.sublist.erase
0.000016     2709 multiset.erase_le_erase
0.000016     2710 multiset.sub_le_sub_right
0.000015     2711 multiset.union_le_union_right
0.000016     2712 multiset.union_le
0.000017     2713 multiset.subset_ndunion_left
0.000016     2714 multiset.le_ndunion_left
0.000016     2715 list.sublist_suffix_of_union
0.000017     2716 list.suffix_union_right
0.000016     2717 multiset.le_ndunion_right
0.000016     2718 multiset.ndunion_eq_union
0.000017     2719 finset.union_val
0.000016     2720 list.bag_inter._main
0.000016     2721 list.bag_inter
0.000016     2722 list.nil_bag_inter
0.000016     2723 list.cons_bag_inter_of_pos
0.000017     2724 list.bag_inter_nil
0.000016     2725 list.bag_inter._main.equations._eqn_4
0.000016     2726 list.bag_inter.equations._eqn_4
0.000016     2727 list.cons_bag_inter_of_neg
0.000017     2728 list.perm.bag_inter_left
0.000016     2729 list.erasep_subset
0.000016     2730 list.mem_of_mem_erasep
0.000016     2731 list.mem_erasep_of_neg
0.000017     2732 list.mem_erase_of_ne
0.000016     2733 list.perm.bag_inter_right
0.000017     2734 list.perm.bag_inter
0.000016     2735 multiset.inter._proof_1
0.000016     2736 multiset.inter
0.000016     2737 multiset.has_inter
0.000016     2738 multiset.zero_inter
0.000016     2739 multiset.cons_inter_of_pos
0.000017     2740 multiset.cons_inter_of_neg
0.160602     2741 multiset.le_inter
0.000081     2742 multiset.ndinter.equations._eqn_1
0.000024     2743 multiset.filter_le
0.000015     2744 multiset.of_mem_filter
0.000014     2745 multiset.filter_eq_self
0.000014     2746 multiset.filter_le_filter
0.000015     2747 multiset.le_filter
0.000014     2748 multiset.le_ndinter
0.000014     2749 multiset.ndinter_le_left
0.000019     2750 multiset.ndinter_subset_right
0.000016     2751 multiset.ndinter_le_right
0.000015     2752 list.bag_inter_sublist_left
0.000017     2753 multiset.inter_le_left
0.000019     2754 multiset.inter_le_right
0.000018     2755 multiset.inter_le_ndinter
0.000014     2756 multiset.ndinter_eq_inter
0.000016     2757 finset.inter_val
0.000016     2758 multiset.union.equations._eqn_1
0.000015     2759 list.diff_eq_foldl
0.000014     2760 list.diff_append
0.000016     2761 multiset.sub_add'
0.000028     2762 multiset.erase_cons_head
0.000018     2763 multiset.add_sub_cancel_left
0.000015     2764 multiset.add_sub_cancel
0.000014     2765 multiset.union_add_distrib
0.000017     2766 quotient.rec_on_subsingleton
0.000015     2767 quotient.rec_on_subsingleton₂._proof_1
0.000016     2768 quotient.rec_on_subsingleton₂._proof_2
0.000017     2769 quotient.rec_on_subsingleton₂
0.000017     2770 decidable_of_iff'
0.000016     2771 list.cons_perm_iff_perm_erase
0.000017     2772 list.decidable_perm._main
0.000016     2773 list.decidable_perm
0.000016     2774 multiset.has_decidable_eq._main
0.000016     2775 multiset.has_decidable_eq
0.000017     2776 nat.le_of_lt_succ
0.000016     2777 nat.lt_of_succ_lt_succ
0.000016     2778 list.subperm.exists_of_length_lt
0.000016     2779 multiset.eq_of_le_of_card_le
0.000017     2780 multiset.card_lt_of_lt
0.000016     2781 multiset.lt_iff_cons_le
0.000016     2782 le_of_add_le_add_right
0.000016     2783 multiset.inter_add_distrib
0.000017     2784 multiset.add_inter_distrib
0.000016     2785 multiset.union_add_inter
0.000017     2786 finset.fold_union_inter
0.000016     2787 finset.sum_union_inter
0.000016     2788 bot_unique
0.000017     2789 eq_bot_iff
0.000016     2790 disjoint_iff
0.000016     2791 finset.disjoint_iff_inter_eq_empty
0.000016     2792 finset.sum_union
0.000016     2793 disjoint.equations._eqn_1
0.000016     2794 finset.inf_eq_inter
0.000017     2795 finset.le_iff_subset
0.000016     2796 finset.disjoint_left
0.000016     2797 finset.sdiff_disjoint
0.000016     2798 finset.union_comm
0.000016     2799 generalized_boolean_algebra
0.000016     2800 generalized_boolean_algebra.bot
0.000017     2801 generalized_boolean_algebra.le
0.000016     2802 generalized_boolean_algebra.lt
0.000017     2803 generalized_boolean_algebra.le_refl
0.000016     2804 generalized_boolean_algebra.le_trans
0.000016     2805 generalized_boolean_algebra.lt_iff_le_not_le
0.000017     2806 generalized_boolean_algebra.le_antisymm
0.000016     2807 generalized_boolean_algebra.bot_le
0.000016     2808 generalized_boolean_algebra.inf
0.000016     2809 generalized_boolean_algebra.inf_le_left
0.000016     2810 generalized_boolean_algebra.inf_le_right
0.000016     2811 generalized_boolean_algebra.le_inf
0.000017     2812 generalized_boolean_algebra.to_semilattice_inf_bot
0.000016     2813 generalized_boolean_algebra.sup
0.000017     2814 generalized_boolean_algebra.le_sup_left
0.000016     2815 generalized_boolean_algebra.le_sup_right
0.000016     2816 generalized_boolean_algebra.sup_le
0.000016     2817 generalized_boolean_algebra.to_semilattice_sup_bot
0.000017     2818 generalized_boolean_algebra.sdiff
0.000016     2819 generalized_boolean_algebra.to_has_sdiff
0.000016     2820 generalized_boolean_algebra.sup_inf_sdiff
0.000017     2821 sup_inf_sdiff
0.000016     2822 le_antisymm_iff
0.000016     2823 order_dual
0.000016     2824 order_dual.has_sup
0.000017     2825 order_dual.has_le
0.000017     2826 order_dual.has_lt
0.000016     2827 order_dual.preorder._proof_1
0.000016     2828 order_dual.preorder._proof_2
0.000017     2829 order_dual.preorder._proof_3
0.000016     2830 order_dual.preorder
0.000016     2831 order_dual.partial_order._proof_1
0.000015     2832 order_dual.partial_order._proof_2
0.000015     2833 order_dual.partial_order._proof_3
0.000016     2834 order_dual.partial_order._proof_4
0.000016     2835 order_dual.partial_order
0.000017     2836 order_dual.semilattice_sup._proof_1
0.000016     2837 order_dual.semilattice_sup._proof_2
0.000016     2838 order_dual.semilattice_sup._proof_3
0.000017     2839 order_dual.semilattice_sup._proof_4
0.000016     2840 order_dual.semilattice_sup._proof_5
0.000016     2841 order_dual.semilattice_sup._proof_6
0.000017     2842 order_dual.semilattice_sup._proof_7
0.000016     2843 order_dual.semilattice_sup
0.000016     2844 le_inf_iff
0.000017     2845 inf_eq_right
0.000016     2846 sup_sdiff_of_le
0.000016     2847 finset.distrib_lattice._proof_1
0.000017     2848 finset.distrib_lattice._proof_2
0.000016     2849 finset.distrib_lattice._proof_3
0.000016     2850 finset.distrib_lattice._proof_4
0.000017     2851 finset.distrib_lattice._proof_5
0.375465     2852 finset.distrib_lattice._proof_6
0.000098     2853 finset.distrib_lattice._proof_7
0.000021     2854 finset.distrib_lattice._proof_8
0.000014     2855 finset.distrib_lattice._proof_9
0.000015     2856 finset.distrib_lattice._proof_10
0.000014     2857 imp_true_iff
0.000014     2858 finset.distrib_lattice._proof_11
0.000015     2859 finset.distrib_lattice
0.000014     2860 finset.generalized_boolean_algebra._proof_1
0.000014     2861 finset.generalized_boolean_algebra._proof_2
0.000014     2862 finset.generalized_boolean_algebra._proof_3
0.000017     2863 finset.generalized_boolean_algebra._proof_4
0.000017     2864 finset.generalized_boolean_algebra._proof_5
0.000017     2865 finset.generalized_boolean_algebra._proof_6
0.000015     2866 finset.generalized_boolean_algebra._proof_7
0.000017     2867 finset.generalized_boolean_algebra._proof_8
0.000018     2868 distrib_lattice.inf
0.000017     2869 distrib_lattice.inf_le_left
0.000016     2870 finset.generalized_boolean_algebra._proof_9
0.000017     2871 distrib_lattice.inf_le_right
0.000016     2872 finset.generalized_boolean_algebra._proof_10
0.000017     2873 distrib_lattice.le_inf
0.000016     2874 finset.generalized_boolean_algebra._proof_11
0.000016     2875 distrib_lattice.le_sup_inf
0.000017     2876 finset.generalized_boolean_algebra._proof_12
0.000016     2877 finset.sup_eq_union
0.000016     2878 decidable.or_iff_not_imp_left
0.000017     2879 or_iff_not_imp_left
0.000016     2880 decidable.not_and_distrib'
0.000016     2881 finset.decidable_mem
0.000017     2882 finset.generalized_boolean_algebra._proof_13
0.000016     2883 finset.inter_assoc
0.000016     2884 list.subset.refl
0.000016     2885 list.eq_nil_iff_forall_not_mem
0.000017     2886 multiset.eq_zero_of_forall_not_mem
0.000016     2887 finset.eq_empty_of_forall_not_mem
0.000016     2888 finset.inter_sdiff_self
0.000016     2889 and_false
0.000017     2890 finset.inter_empty
0.000016     2891 finset.not_mem_empty
0.000016     2892 finset.generalized_boolean_algebra._proof_14
0.000016     2893 finset.generalized_boolean_algebra
0.000016     2894 finset.union_sdiff_of_subset
0.000017     2895 finset.sdiff_union_of_subset
0.000016     2896 finset.sum_le_sum_of_subset_of_nonneg
0.000016     2897 finset.single_le_sum
0.000017     2898 nat.succ_le_succ_iff
0.000016     2899 nat.lt_succ_iff
0.000016     2900 add_sub_cancel
0.000016     2901 add_sub
0.000016     2902 cau_seq.bounded
0.000017     2903 cau_seq.bounded'
0.000016     2904 cau_seq.has_mul._match_5
0.000016     2905 cau_seq.has_mul._proof_1
0.000017     2906 cau_seq.has_mul
0.000016     2907 is_absolute_value.abv_eq_zero
0.000016     2908 is_absolute_value.abv_zero
0.000017     2909 gt_iff_lt
0.000016     2910 cau_seq.const._proof_1
0.000016     2911 cau_seq.const
0.000017     2912 cau_seq.mul_apply
0.000016     2913 cau_seq.const_apply
0.000016     2914 neg_involutive
0.000016     2915 neg_injective
0.000016     2916 neg_inj
0.000017     2917 cau_seq.has_neg._proof_1
0.000016     2918 cau_seq.has_neg
0.000016     2919 cau_seq.add_apply
0.000015     2920 cau_seq.neg_apply
0.000014     2921 cau_seq.has_sub._proof_1
0.000016     2922 cau_seq.has_sub
0.000016     2923 subtype.cases_on
0.000017     2924 subtype.eq
0.000016     2925 cau_seq.ext
0.000017     2926 nontrivial.to_nonempty._match_1
0.000016     2927 nontrivial.to_nonempty
0.000016     2928 nat.zero_ne_one
0.000015     2929 nat.nontrivial
0.000016     2930 cau_seq.ring._proof_1
0.000017     2931 cau_seq.has_zero
0.000016     2932 cau_seq.zero_apply
0.000017     2933 cau_seq.ring._proof_2
0.000016     2934 cau_seq.ring._proof_3
0.000016     2935 cau_seq.sub_apply
0.000017     2936 cau_seq.ring._proof_4
0.000016     2937 cau_seq.ring._proof_5
0.000016     2938 cau_seq.ring._proof_6
0.000017     2939 cau_seq.ring._proof_7
0.000016     2940 cau_seq.has_one
0.000016     2941 cau_seq.one_apply
0.000016     2942 cau_seq.ring._proof_8
0.000017     2943 cau_seq.ring._proof_9
0.000016     2944 cau_seq.ring._proof_10
0.000016     2945 cau_seq.ring._proof_11
0.000016     2946 cau_seq.ring
0.000016     2947 cau_seq.zero_lim_zero
0.000017     2948 neg_one_mul
0.000016     2949 cau_seq.mul_lim_zero_right
0.000016     2950 cau_seq.neg_lim_zero
0.000017     2951 cau_seq.add_lim_zero
0.000016     2952 cau_seq.equiv._proof_1
0.000017     2953 cau_seq.equiv
0.000016     2954 cau_seq.completion.Cauchy
0.000017     2955 int
0.000016     2956 acc.rec_on
0.000016     2957 well_founded.fix_F
0.000017     2958 well_founded.apply
0.000016     2959 well_founded.fix._proof_1
0.000016     2960 well_founded.fix
0.000016     2961 has_well_founded
0.000016     2962 has_well_founded.r
0.000016     2963 psigma.lex
0.000017     2964 psigma.lex.rec_on
0.000016     2965 heq.rec_on
0.000016     2966 eq_of_heq
0.000017     2967 psigma.lex_accessible
0.000016     2968 psigma.lex_wf
0.000016     2969 has_well_founded.wf
0.000017     2970 psigma.has_well_founded._proof_1
0.000016     2971 psigma.has_well_founded
0.000016     2972 has_sizeof
0.000016     2973 inv_image
0.000017     2974 measure
0.000016     2975 has_sizeof.sizeof
0.000017     2976 sizeof
0.000016     2977 sizeof_measure
0.000016     2978 _private.4014471427.acc_aux
0.000017     2979 inv_image.accessible
0.054362     2980 inv_image.wf
0.000059     2981 nat.not_lt_zero
0.000024     2982 eq.substr
0.000014     2983 acc.inv
0.000015     2984 nat.lt_wf
0.000014     2985 measure_wf
0.000014     2986 sizeof_measure_wf
0.000014     2987 has_well_founded_of_has_sizeof
0.000014     2988 nat.sizeof._main
0.000018     2989 nat.sizeof
0.000018     2990 nat.has_sizeof
0.000016     2991 has_mod
0.000015     2992 has_mod.mod
0.000017     2993 nat.pred_le
0.000019     2994 nat.sub_le
0.000018     2995 nat.sub_lt
0.000017     2996 _private.757066717.div_rec_lemma
0.000016     2997 _private.1846598367.mod.F
0.000015     2998 nat.mod
0.000014     2999 nat.has_mod
0.000017     3000 nat.sizeof._main.equations._eqn_1
0.000014     3001 nat.sizeof.equations._eqn_1
0.000017     3002 gcd._main._pack._wf_rec_mk_dec_tactic._aux_1
0.000017     3003 or.by_cases
0.000026     3004 decidable.lt_or_eq_of_le
0.000018     3005 nat.strong_rec_on._proof_1
0.000015     3006 nat.strong_rec_on
0.000014     3007 nat.strong_induction_on
0.000014     3008 nat.case_strong_induction_on
0.000017     3009 dif_eq_if
0.000016     3010 acc.drec
0.000017     3011 well_founded.fix_F_eq
0.000017     3012 well_founded.fix_eq
0.000016     3013 nat.mod_def_aux
0.000017     3014 nat.mod_def
0.000016     3015 nat.zero_mod
0.000023     3016 nat.mod_eq_of_lt
0.000021     3017 nat.mod_eq_sub_mod
0.000017     3018 decidable.le_of_not_lt
0.000017     3019 decidable.not_lt
0.000017     3020 nat.mod_lt
0.000016     3021 nat.gcd._main._pack
0.000016     3022 nat.gcd._main
0.000017     3023 nat.gcd
0.000016     3024 nat.coprime
0.000017     3025 int.cases_on
0.000016     3026 int.nat_abs._main
0.000016     3027 int.nat_abs
0.000017     3028 rat
0.000021     3029 rat.cases_on
0.000019     3030 pnat
0.000017     3031 _private.2993550761.div.F
0.000017     3032 nat.div
0.000016     3033 nat.has_div
0.000016     3034 int.zero
0.000017     3035 int.has_zero
0.000014     3036 int.neg_of_nat._main
0.000017     3037 int.neg_of_nat
0.000017     3038 int.has_coe
0.000017     3039 int.neg._main
0.000016     3040 int.neg
0.000017     3041 int.has_neg
0.000016     3042 int.div._main
0.000016     3043 int.div
0.000017     3044 int.has_div
0.000016     3045 decidable.lt_or_le
0.000016     3046 nat.div_def_aux
0.000017     3047 nat.div_def
0.000016     3048 nat.div_eq_of_lt
0.000016     3049 nat.div_eq_sub_div
0.000017     3050 nat.le_of_add_le_add_right
0.000016     3051 nat.add_le_add_iff_le_right
0.000016     3052 nat.sub_lt_of_pos_le
0.000016     3053 nat.add_sub_cancel
0.000016     3054 nat.le_of_le_of_sub_le_sub_right
0.000017     3055 nat.sub_le_sub_right
0.000016     3056 nat.sub_le_sub_right_iff
0.000016     3057 nat.add_le_to_le_sub
0.000017     3058 nat.le_div_iff_mul_le
0.000016     3059 has_dvd
0.000016     3060 has_dvd.dvd
0.000016     3061 nat.has_dvd
0.000017     3062 nat.eq_zero_of_zero_dvd
0.000016     3063 nat.pos_of_dvd_of_pos
0.000016     3064 well_founded.recursion
0.000016     3065 well_founded.induction
0.000016     3066 nat.gcd.induction
0.000016     3067 nat.gcd._main._pack.equations._eqn_1
0.000017     3068 nat.gcd._main.equations._eqn_1
0.000016     3069 nat.gcd.equations._eqn_1
0.000016     3070 nat.gcd_zero_left
0.000016     3071 monoid_has_dvd
0.000016     3072 exists.intro
0.000017     3073 dvd.intro
0.000016     3074 dvd_zero
0.000016     3075 nat.semiring
0.000016     3076 dvd_refl
0.000016     3077 nat.monoid
0.000016     3078 nat.mod_zero
0.000017     3079 nat.gcd._main._pack.equations._eqn_2
0.000016     3080 nat.gcd._main.equations._eqn_2
0.000016     3081 nat.gcd.equations._eqn_2
0.000017     3082 nat.gcd_zero_right
0.000016     3083 nat.gcd_rec
0.000016     3084 nat.dvd_add
0.000017     3085 nat.mul_pred_left
0.000016     3086 nat.mul_sub_right_distrib
0.000016     3087 nat.mul_sub_left_distrib
0.000016     3088 nat.add_sub_cancel_left
0.000017     3089 nat.dvd_add_iff_right
0.000016     3090 nat.dvd_add_iff_left
0.000016     3091 nat.dvd_trans
0.000016     3092 nat.dvd_mul_right
0.000016     3093 decidable.em
0.000016     3094 nat.add_sub_assoc
0.000016     3095 nat.mod_add_div
0.000017     3096 nat.dvd_mod_iff
0.000016     3097 nat.gcd_dvd
0.000016     3098 nat.gcd_dvd_right
0.000016     3099 nat.gcd_pos_of_pos_right
0.000016     3100 nat.le_of_dvd
0.000016     3101 int.nat_abs_eq
0.000017     3102 int.sub_nat_nat._match_1
0.000016     3103 int.sub_nat_nat
0.000016     3104 int.add._main
0.000016     3105 int.add
0.000017     3106 int.has_add
0.000016     3107 int.of_nat_add_of_nat
0.000017     3108 int.no_confusion_type
0.000016     3109 int.no_confusion
0.000016     3110 int.of_nat.inj
0.000016     3111 int.of_nat.inj_eq
0.000016     3112 int.of_nat_add_neg_succ_of_nat
0.000016     3113 decidable.le_or_lt
0.000017     3114 int.sub_nat_nat.equations._eqn_1
0.000016     3115 int.sub_nat_nat._match_1.equations._eqn_1
0.000016     3116 int.sub_nat_nat_of_sub_eq_zero
0.000016     3117 int.sub_nat_nat_of_le
0.000016     3118 nat.le_add_left
0.000017     3119 int.sub_nat_nat._match_1.equations._eqn_2
0.000016     3120 int.sub_nat_nat_of_sub_eq_succ
0.000016     3121 nat.succ_pred_eq_of_pos
0.000017     3122 nat.lt_of_add_lt_add_left
0.000016     3123 nat.lt_of_add_lt_add_right
0.000016     3124 nat.add_sub_of_le
0.000016     3125 nat.sub_add_cancel
0.000017     3126 nat.sub_pos_of_lt
0.000016     3127 int.sub_nat_nat_of_lt
0.000016     3128 nat.sub_eq_iff_eq_add
0.124255     3129 nat.lt_of_sub_eq_succ
0.000091     3130 int.sub_nat_nat_elim
0.000022     3131 int.sub_nat_nat_add_left
0.000015     3132 int.sub_nat_nat_add_right
0.000014     3133 int.sub_nat_nat_add_add
0.000014     3134 int.sub_nat_nat_add
0.000014     3135 int.add_assoc_aux1
0.000014     3136 int.neg_succ_of_nat_add_neg_succ_of_nat
0.000014     3137 int.neg_succ_of_nat.inj
0.000015     3138 int.neg_succ_of_nat.inj_eq
0.000013     3139 int.add_comm
0.000017     3140 int.neg_succ_of_nat_add_of_nat
0.000017     3141 int.sub_nat_nat_sub
0.000015     3142 nat.succ_sub
0.000014     3143 int.sub_nat_nat_add_neg_succ_of_nat
0.000015     3144 int.add_assoc_aux2
0.000014     3145 int.add_assoc
0.000014     3146 int.add_zero
0.000017     3147 int.zero_add
0.000016     3148 int.sub
0.000015     3149 int.comm_ring._proof_1
0.000014     3150 int.neg_of_nat_of_succ
0.000016     3151 nat.sub_self
0.000017     3152 int.of_nat_zero
0.000015     3153 int.sub_nat_self
0.000014     3154 int.neg_neg_of_nat_succ
0.000017     3155 int.add_left_neg
0.000018     3156 int.mul._main
0.000016     3157 int.mul
0.000017     3158 int.has_mul
0.000016     3159 int.of_nat_mul_of_nat
0.000016     3160 int.of_nat_mul_neg_succ_of_nat
0.000017     3161 int.neg_of_nat._main.equations._eqn_2
0.000016     3162 int.neg_of_nat.equations._eqn_2
0.000016     3163 int.of_nat_mul_neg_of_nat
0.000017     3164 int.neg_succ_of_nat_of_nat
0.000016     3165 int.mul_neg_succ_of_nat_neg_succ_of_nat
0.000016     3166 int.mul_comm
0.000016     3167 int.neg_of_nat_mul_of_nat
0.000017     3168 int.neg_succ_of_nat_mul_neg_of_nat
0.000016     3169 int.neg_of_nat_mul_neg_succ_of_nat
0.000017     3170 int.mul_assoc
0.000016     3171 int.one
0.000016     3172 int.has_one
0.000017     3173 int.one_mul
0.000016     3174 int.mul_one
0.000016     3175 int.mul_zero
0.000017     3176 int.zero_mul
0.000016     3177 int.of_nat_mul_sub_nat_nat
0.000016     3178 int.neg_of_nat_eq_sub_nat_nat_zero
0.000016     3179 int.neg_of_nat_add
0.000017     3180 int.neg_succ_of_nat_mul_sub_nat_nat
0.000016     3181 int.distrib_left
0.000017     3182 int.distrib_right
0.000016     3183 int.comm_ring
0.000017     3184 int.monoid
0.000016     3185 int.of_nat.inj_arrow
0.000017     3186 int.neg_succ_of_nat.inj_arrow
0.000016     3187 int.decidable_eq
0.000016     3188 int.nonneg
0.000017     3189 int.has_sub
0.000016     3190 int.le
0.000015     3191 int.has_le
0.000014     3192 int.lt
0.000017     3193 int.le.intro_sub
0.000017     3194 int.sub_eq_add_neg
0.000016     3195 int.add_right_neg
0.000016     3196 int.le.intro
0.000017     3197 int.le_refl
0.000016     3198 int.nonneg.elim
0.000016     3199 int.le.dest_sub
0.000017     3200 int.le.dest
0.000016     3201 int.le.elim
0.000016     3202 int.le_trans
0.000017     3203 int.has_lt
0.000016     3204 int.lt.dest
0.000017     3205 int.lt.elim
0.000016     3206 int.le_of_lt
0.000016     3207 int.coe_nat_inj
0.000017     3208 int.add_left_cancel
0.000016     3209 int.lt_irrefl
0.000016     3210 int.ne_of_lt
0.000017     3211 int.coe_nat_eq
0.000016     3212 int.add_left_comm
0.000016     3213 int.lt_add_succ
0.000019     3214 int.lt.intro
0.000026     3215 int.coe_nat_zero
0.000019     3216 int.lt_iff_le_and_ne
0.000016     3217 int.coe_nat_add
0.000017     3218 int.le_antisymm
0.000017     3219 int.lt_iff_le_not_le
0.000017     3220 int.neg_add
0.000016     3221 int.neg_neg
0.000017     3222 int.nonneg_or_nonneg_neg
0.000016     3223 int.le_total
0.000017     3224 int.decidable_nonneg
0.000016     3225 int.decidable_le
0.000017     3226 int.decidable_lt
0.000017     3227 int.linear_order
0.000016     3228 int.add_le_add_left
0.000017     3229 int.zero_lt_one
0.000016     3230 int.linear_ordered_comm_ring._proof_1
0.000017     3231 int.coe_nat_mul
0.000016     3232 int.mul_pos
0.000017     3233 linear_order.decidable_eq
0.000016     3234 int.zero_ne_one
0.000017     3235 int.nontrivial
0.000016     3236 int.linear_ordered_comm_ring
0.000017     3237 int.linear_ordered_add_comm_group
0.000016     3238 int.semiring
0.000017     3239 int.div_zero
0.000016     3240 int.ring
0.000017     3241 int.comm_semigroup
0.000016     3242 int.add_monoid
0.000017     3243 int.zero_div
0.000017     3244 nat.div_zero
0.000016     3245 int.div_neg
0.000017     3246 neg_add
0.000016     3247 neg_mul_neg
0.000017     3248 eq_sub_of_add_eq
0.000016     3249 int.eq_succ_of_zero_lt
0.000016     3250 nat.add_div_right
0.000017     3251 nat.add_mul_div_left
0.000016     3252 nat.add_mul_div_right
0.000017     3253 int.of_nat_sub
0.000017     3254 int.coe_nat_sub
0.000016     3255 nat.div_lt_iff_lt_mul
0.000016     3256 ordered_comm_monoid
0.000017     3257 ordered_comm_monoid.mul
0.000014     3258 ordered_comm_monoid.mul_assoc
0.000016     3259 ordered_comm_monoid.one
0.000016     3260 ordered_comm_monoid.one_mul
0.000017     3261 ordered_comm_monoid.mul_one
0.000017     3262 ordered_comm_monoid.mul_comm
0.000016     3263 ordered_comm_monoid.to_comm_monoid
0.000017     3264 linear_ordered_comm_monoid
0.000016     3265 linear_ordered_comm_monoid.mul
0.000016     3266 linear_ordered_comm_monoid.mul_assoc
0.000016     3267 linear_ordered_comm_monoid.one
0.000017     3268 linear_ordered_comm_monoid.one_mul
0.000016     3269 linear_ordered_comm_monoid.mul_one
0.000016     3270 linear_ordered_comm_monoid.mul_comm
0.000017     3271 linear_ordered_comm_monoid.le
0.183681     3272 linear_ordered_comm_monoid.lt
0.000092     3273 linear_ordered_comm_monoid.le_refl
0.000024     3274 linear_ordered_comm_monoid.le_trans
0.000014     3275 linear_ordered_comm_monoid.lt_iff_le_not_le
0.000014     3276 linear_ordered_comm_monoid.le_antisymm
0.000014     3277 linear_ordered_comm_monoid.mul_le_mul_left
0.000015     3278 linear_ordered_comm_monoid.lt_of_mul_lt_mul_left
0.000014     3279 linear_ordered_comm_monoid.to_ordered_comm_monoid
0.000014     3280 ordered_comm_monoid.le
0.000019     3281 ordered_comm_monoid.lt
0.000017     3282 ordered_comm_monoid.le_refl
0.000017     3283 ordered_comm_monoid.le_trans
0.000017     3284 ordered_comm_monoid.lt_iff_le_not_le
0.000015     3285 ordered_comm_monoid.le_antisymm
0.000014     3286 ordered_comm_monoid.to_partial_order
0.000017     3287 linear_ordered_comm_monoid_with_zero
0.000014     3288 linear_ordered_comm_monoid_with_zero.le
0.000018     3289 linear_ordered_comm_monoid_with_zero.lt
0.000017     3290 linear_ordered_comm_monoid_with_zero.le_refl
0.000014     3291 linear_ordered_comm_monoid_with_zero.le_trans
0.000015     3292 linear_ordered_comm_monoid_with_zero.lt_iff_le_not_le
0.000017     3293 linear_ordered_comm_monoid_with_zero.le_antisymm
0.000015     3294 linear_ordered_comm_monoid_with_zero.le_total
0.000018     3295 linear_ordered_comm_monoid_with_zero.decidable_le
0.000016     3296 linear_ordered_comm_monoid_with_zero.decidable_eq
0.000015     3297 linear_ordered_comm_monoid_with_zero.decidable_lt
0.000014     3298 linear_ordered_comm_monoid_with_zero.mul
0.000017     3299 linear_ordered_comm_monoid_with_zero.mul_assoc
0.000018     3300 linear_ordered_comm_monoid_with_zero.one
0.000016     3301 linear_ordered_comm_monoid_with_zero.one_mul
0.000017     3302 linear_ordered_comm_monoid_with_zero.mul_one
0.000016     3303 linear_ordered_comm_monoid_with_zero.mul_comm
0.000016     3304 linear_ordered_comm_monoid_with_zero.mul_le_mul_left
0.000017     3305 linear_ordered_comm_monoid_with_zero.lt_of_mul_lt_mul_left
0.000016     3306 linear_ordered_comm_monoid_with_zero.to_linear_ordered_comm_monoid
0.000016     3307 comm_semiring.to_comm_monoid
0.000017     3308 comm_semiring.to_comm_monoid_with_zero._proof_1
0.000016     3309 comm_semiring.to_comm_monoid_with_zero._proof_2
0.000017     3310 comm_semiring.to_comm_monoid_with_zero._proof_3
0.000016     3311 comm_semiring.to_comm_monoid_with_zero._proof_4
0.000019     3312 comm_semiring.to_comm_monoid_with_zero._proof_5
0.000026     3313 comm_semiring.to_comm_monoid_with_zero._proof_6
0.000018     3314 comm_semiring.to_comm_monoid_with_zero
0.000017     3315 nat.linear_ordered_comm_monoid_with_zero._proof_1
0.000016     3316 nat.linear_ordered_comm_monoid_with_zero._proof_2
0.000017     3317 decidable_eq_of_decidable_le._main
0.000016     3318 decidable_eq_of_decidable_le
0.000016     3319 decidable_lt_of_decidable_le._main
0.000017     3320 decidable_lt_of_decidable_le
0.000016     3321 le_of_not_lt
0.000017     3322 linear_ordered_comm_monoid.lt_of_mul_lt_mul_left._default
0.000016     3323 nat.linear_ordered_comm_monoid_with_zero._proof_3
0.000016     3324 nat.linear_ordered_comm_monoid_with_zero
0.000017     3325 nat.comm_monoid
0.000016     3326 nat.comm_semigroup
0.000016     3327 nat.div_eq_of_lt_le
0.000017     3328 nat.sub_le_sub_left
0.000016     3329 nat.div_mul_le_self
0.000016     3330 nat.mul_sub_div
0.000014     3331 sub_sub
0.000015     3332 int.neg_succ_of_nat_coe'
0.000016     3333 nat.sub_mul_div
0.000016     3334 int.add_mul_div_right
0.000017     3335 int.mul_div_cancel
0.000016     3336 int.mul_div_cancel_left
0.000016     3337 int.neg_div_of_dvd
0.000017     3338 int.of_nat_eq_of_nat_iff
0.000016     3339 int.coe_nat_eq_coe_nat_iff
0.000017     3340 int.coe_nat_inj'
0.000016     3341 int.coe_nat_eq_zero
0.000016     3342 int.neg_zero
0.000017     3343 int.eq_coe_of_zero_le
0.000016     3344 mul_neg_of_pos_of_neg
0.000016     3345 nonneg_of_mul_nonneg_left
0.000016     3346 int.le_of_coe_nat_le_coe_nat
0.000017     3347 int.coe_nat_le_coe_nat_of_le
0.000016     3348 int.coe_nat_le_coe_nat_iff
0.000017     3349 int.coe_nat_le
0.000025     3350 int.coe_nat_nonneg
0.000020     3351 int.lt_iff_add_one_le
0.000017     3352 int.coe_nat_succ
0.000016     3353 int.coe_nat_lt_coe_nat_iff
0.000017     3354 int.coe_nat_lt
0.000017     3355 int.coe_nat_pos
0.000016     3356 int.coe_nat_dvd
0.000016     3357 nat.gcd_dvd_left
0.000017     3358 int.nat_abs_neg
0.000016     3359 nat.le_of_mul_le_mul_left
0.000017     3360 nat.eq_of_mul_eq_mul_left
0.000016     3361 nat.eq_of_mul_eq_mul_right
0.000017     3362 nat.add_mod_right
0.000016     3363 nat.add_mul_mod_self_left
0.000016     3364 nat.mul_mod_right
0.000016     3365 nat.mod_eq_zero_of_dvd
0.000017     3366 nat.mul_div_cancel'
0.000016     3367 nat.div_mul_cancel
0.000017     3368 nat.dvd_gcd
0.000016     3369 nat.mul_mod_mul_left
0.000017     3370 nat.gcd_mul_left
0.000016     3371 nat.gcd_mul_right
0.000017     3372 nat.gcd_div
0.115553     3373 nat.zero_div
0.000089     3374 nat.div_self
0.000023     3375 nat.coprime_div_gcd_div_gcd
0.000015     3376 rat.mk_pnat._main
0.000014     3377 rat.mk_pnat
0.000015     3378 rat.add._main
0.000014     3379 rat.add
0.000014     3380 rat.has_add
0.000014     3381 nat.one_pos
0.000014     3382 nat.dvd_antisymm
0.000017     3383 nat.gcd_comm
0.000017     3384 nat.eq_zero_of_le_zero
0.000016     3385 nat.mod_one
0.000015     3386 nat.gcd_one_left
0.000014     3387 nat.gcd_one_right
0.000017     3388 nat.coprime_one_right
0.000015     3389 rat.of_int._proof_1
0.000017     3390 rat.of_int
0.000017     3391 rat.has_zero
0.000014     3392 rat.mk_nat
0.000014     3393 nat.succ_pnat
0.000018     3394 rat.mk._main
0.000018     3395 rat.mk
0.000017     3396 rat.num
0.000016     3397 rat.denom
0.000016     3398 rat.mk_pnat._main._proof_1
0.000023     3399 nat.div_one
0.000016     3400 rat.mk_pnat._main._proof_2
0.000014     3401 int.div_one
0.000018     3402 rat.mk_nat.equations._eqn_1
0.000023     3403 rat.mk_pnat._main.equations._eqn_1
0.000015     3404 rat.mk_pnat.equations._eqn_1
0.000017     3405 rat.no_confusion_type
0.000017     3406 rat.no_confusion
0.000016     3407 rat.mk'.inj
0.000017     3408 rat.mk'.inj_eq
0.000016     3409 rat.num_denom
0.000017     3410 rat.num_denom'
0.000016     3411 rat.num_denom_cases_on._main
0.000017     3412 rat.num_denom_cases_on
0.000016     3413 has_lt.lt.ne
0.000017     3414 has_lt.lt.ne'
0.000016     3415 rat.num_denom_cases_on'._proof_1
0.000019     3416 rat.num_denom_cases_on'
0.000026     3417 int.of_nat_eq_coe
0.000019     3418 rat.mk._main.equations._eqn_1
0.000017     3419 rat.mk.equations._eqn_1
0.000016     3420 rat.mk._main.equations._eqn_2
0.000017     3421 rat.mk.equations._eqn_2
0.000016     3422 nat.succ_pnat.equations._eqn_1
0.000017     3423 int.distrib
0.000016     3424 eq_neg_iff_add_eq_zero
0.000017     3425 neg_add_eq_iff_eq_add
0.000016     3426 eq_neg_of_eq_neg
0.000017     3427 eq_neg_iff_eq_neg
0.000017     3428 add_eq_zero_iff_neg_eq
0.000016     3429 neg_eq_iff_add_eq_zero
0.000016     3430 iff_eq_true_of_eq
0.000017     3431 int.add_comm_monoid
0.000017     3432 int.add_comm_semigroup
0.000016     3433 mul_right_cancel'
0.000016     3434 domain.to_cancel_monoid_with_zero._proof_1
0.000017     3435 domain.to_cancel_monoid_with_zero._proof_2
0.000016     3436 domain.to_cancel_monoid_with_zero._proof_3
0.000017     3437 domain.to_cancel_monoid_with_zero._proof_4
0.000016     3438 domain.to_cancel_monoid_with_zero._proof_5
0.000015     3439 domain.to_cancel_monoid_with_zero._proof_6
0.000014     3440 domain.to_cancel_monoid_with_zero._proof_7
0.000017     3441 domain.to_cancel_monoid_with_zero
0.000016     3442 lt_or_gt_of_ne
0.000016     3443 mul_neg_of_neg_of_pos
0.000017     3444 linear_ordered_ring.to_domain._proof_1
0.000016     3445 linear_ordered_ring.to_domain
0.000017     3446 int.coe_nat_ne_zero
0.000016     3447 comm_ring.to_comm_semiring._proof_1
0.000016     3448 comm_ring.to_comm_semiring._proof_2
0.000017     3449 comm_ring.to_comm_semiring
0.000016     3450 int.comm_monoid
0.000016     3451 int.mod._main
0.000017     3452 int.mod
0.000016     3453 int.has_mod
0.000016     3454 int.mod_zero
0.000016     3455 int.neg_succ_of_nat_coe
0.000017     3456 sub_sub_self
0.000017     3457 int.mod_add_div_aux
0.000016     3458 int.mod_add_div
0.000016     3459 int.mul_div_cancel_of_mod_eq_zero
0.000017     3460 int.div_mul_cancel_of_mod_eq_zero
0.000016     3461 int.mod_def
0.000017     3462 sub_add_eq_sub_sub_swap
0.000016     3463 add_sub_add_right_eq_sub
0.000016     3464 int.add_mul_mod_self
0.000017     3465 int.zero_mod
0.000016     3466 int.mul_mod_left
0.000017     3467 int.mul_mod_right
0.000016     3468 int.mod_eq_zero_of_dvd
0.000016     3469 int.div_mul_cancel
0.000016     3470 int.mul_div_cancel'
0.000017     3471 int.eq_mul_of_div_eq_right
0.000016     3472 int.eq_mul_of_div_eq_left
0.000016     3473 dvd.elim
0.000017     3474 dvd_mul_right
0.000016     3475 dvd_mul_of_dvd_left
0.000017     3476 dvd_mul_of_dvd_right
0.000016     3477 dvd_neg_of_dvd
0.000016     3478 dvd_of_dvd_neg
0.000017     3479 dvd_neg_iff_dvd
0.000016     3480 int.dvd_nat_abs
0.000016     3481 _private.3939277549.gcd_abs_dvd_left
0.000017     3482 int.mul_div_assoc
0.000016     3483 nat.eq_mul_of_div_eq_right
0.000016     3484 nat.eq_mul_of_div_eq_left
0.000017     3485 nat.mul_div_cancel
0.000016     3486 nat.mul_div_assoc
0.000016     3487 dvd_mul_left
0.000016     3488 nat.coprime.gcd_eq_one
0.000016     3489 nat.coprime.dvd_of_dvd_mul_right
0.000017     3490 nat.coprime.dvd_of_dvd_mul_left
0.000016     3491 nat.coprime.symm
0.000016     3492 int.mul_def
0.000016     3493 int.mul._main.equations._eqn_1
0.000017     3494 int.mul.equations._eqn_1
0.000016     3495 int.nat_abs._main.equations._eqn_1
0.000016     3496 int.nat_abs.equations._eqn_1
0.000016     3497 int.mul._main.equations._eqn_2
0.000017     3498 int.mul.equations._eqn_2
0.000016     3499 int.nat_abs_neg_of_nat
0.000017     3500 int.nat_abs._main.equations._eqn_2
0.000015     3501 int.nat_abs.equations._eqn_2
0.000017     3502 int.mul._main.equations._eqn_3
0.000016     3503 int.mul.equations._eqn_3
0.000017     3504 int.mul._main.equations._eqn_4
0.376896     3505 int.mul.equations._eqn_4
0.000091     3506 int.nat_abs_mul
0.000023     3507 int.nat_abs_of_nat
0.000015     3508 int.sign._main
0.000014     3509 int.sign
0.000014     3510 int.neg_eq_neg_one_mul
0.000014     3511 int.sign_mul_nat_abs
0.000014     3512 int.sign_zero
0.000014     3513 int.sign_mul
0.000015     3514 int.sign_eq_one_of_pos
0.000017     3515 rat.mk_eq
0.000017     3516 rat.lift_binop_eq
0.000017     3517 rat.mk_pnat_eq
0.000016     3518 mul_ne_zero_iff
0.000016     3519 mul_ne_zero
0.000017     3520 rat.add_def
0.000014     3521 int.add_semigroup
0.000014     3522 rat.add_assoc
0.000017     3523 int.nat_abs_zero
0.000014     3524 int.div_add_mod
0.000014     3525 int.euclidean_domain._proof_1
0.000017     3526 int.euclidean_domain._proof_2
0.000016     3527 int.nat_abs_of_nonneg
0.000015     3528 int.coe_zero_le
0.000014     3529 sub_le_sub_iff_left
0.000016     3530 sub_nonneg
0.000015     3531 sub_nonneg_of_le
0.000014     3532 int.eq_zero_of_nat_abs_eq_zero
0.000014     3533 int.nat_abs_pos_of_ne_zero
0.000017     3534 int.mod_nonneg
0.000016     3535 linear_ordered_add_comm_group.le
0.000016     3536 linear_ordered_add_comm_group.lt
0.000017     3537 linear_ordered_add_comm_group.le_refl
0.000016     3538 linear_ordered_add_comm_group.le_trans
0.000017     3539 linear_ordered_add_comm_group.lt_iff_le_not_le
0.000014     3540 linear_ordered_add_comm_group.le_antisymm
0.000014     3541 linear_ordered_add_comm_group.le_total
0.000016     3542 linear_ordered_add_comm_group.decidable_le
0.000016     3543 linear_ordered_add_comm_group.decidable_eq
0.000015     3544 linear_ordered_add_comm_group.decidable_lt
0.000014     3545 linear_ordered_add_comm_group.to_linear_order
0.000017     3546 abs
0.000014     3547 linear_ordered_add_comm_group.add_le_add_left
0.000017     3548 linear_ordered_add_comm_group.to_ordered_add_comm_group
0.000014     3549 eq_max
0.000014     3550 max_eq_left
0.000014     3551 neg_nonpos
0.000017     3552 abs_of_nonneg
0.000016     3553 max_comm
0.000017     3554 max_eq_right
0.000016     3555 abs_of_nonpos
0.000016     3556 int.neg_succ_lt_zero
0.000017     3557 int.abs_eq_nat_abs
0.000016     3558 is_total
0.000016     3559 is_total.total
0.000016     3560 sup_eq_right
0.000016     3561 sup_eq_left
0.000016     3562 sup_ind
0.000016     3563 has_le.le.is_total
0.000017     3564 abs_by_cases
0.000016     3565 int.mod_neg
0.000016     3566 int.mod_abs
0.000016     3567 int.coe_nat_lt_coe_nat_of_lt
0.000023     3568 add_lt_iff_neg_left
0.000023     3569 pos_of_neg_neg
0.000017     3570 neg_neg_of_pos
0.000017     3571 neg_neg_iff_pos
0.000016     3572 sub_lt_self_iff
0.000016     3573 sub_lt_self
0.000017     3574 int.mod_lt_of_pos
0.000016     3575 abs_of_neg
0.000017     3576 neg_pos
0.000016     3577 abs_zero
0.000016     3578 lt_self_iff_false
0.000017     3579 abs_of_pos
0.000016     3580 abs_pos
0.000016     3581 int.mod_lt
0.000017     3582 int.euclidean_domain._proof_3
0.000016     3583 int.euclidean_domain._proof_4
0.000016     3584 int.euclidean_domain
0.000026     3585 euclidean_domain.quotient
0.000022     3586 euclidean_domain.has_div
0.000017     3587 euclidean_domain.quotient_zero
0.000016     3588 euclidean_domain.div_zero
0.000015     3589 euclidean_domain.r
0.000018     3590 euclidean_domain.remainder
0.000017     3591 euclidean_domain.has_mod
0.000016     3592 add_neg_eq_iff_eq_add
0.000017     3593 sub_eq_iff_eq_add
0.000016     3594 sub_eq_iff_eq_add'
0.000016     3595 euclidean_domain.quotient_mul_add_remainder_eq
0.000017     3596 euclidean_domain.div_add_mod
0.000016     3597 euclidean_domain.mul_left_not_lt
0.000017     3598 euclidean_domain.remainder_lt
0.000016     3599 euclidean_domain.mod_lt
0.000016     3600 euclidean_domain.mul_div_cancel_left
0.000017     3601 euclidean_domain.mul_div_cancel
0.000016     3602 euclidean_domain.zero_div
0.000016     3603 rat.zero_mk_pnat
0.000017     3604 dite_eq_ite
0.000016     3605 rat.zero_mk_nat
0.000016     3606 rat.zero_mk
0.000016     3607 rat.mk_zero
0.000017     3608 int.semigroup
0.000016     3609 rat.div_mk_div_cancel_left
0.000017     3610 rat.zero_add
0.000016     3611 rat.add_zero
0.000016     3612 rat.pos
0.000017     3613 rat.cop
0.000016     3614 rat.neg._proof_1
0.000016     3615 rat.neg
0.000017     3616 sub_neg_monoid.sub._default
0.000016     3617 add_group.sub._default
0.000016     3618 add_comm_group.sub._default
0.000021     3619 ring.sub._default
0.000025     3620 comm_ring.sub._default
0.000018     3621 rat.field._proof_1
0.000017     3622 rat.has_neg
0.000016     3623 rat.neg_def
0.000016     3624 rat.add_left_neg
0.000017     3625 comm_semigroup.to_is_commutative
0.000016     3626 rat.add_comm
0.000016     3627 rat.mul._main
0.000017     3628 rat.mul
0.000016     3629 rat.has_mul
0.000016     3630 rat.mul_def
0.000016     3631 rat.mul_assoc
0.000017     3632 rat.has_one
0.000016     3633 rat.one_mul
0.000016     3634 rat.mul_one
0.000017     3635 rat.mul_comm
0.000016     3636 rat.add_mul
0.000016     3637 rat.mul_add
0.000016     3638 rat.inv._main
0.000017     3639 rat.inv
0.000016     3640 rat.field._proof_2
0.000016     3641 rat.mk'.inj_arrow
0.000017     3642 rat.mk_eq_zero
0.000016     3643 rat.zero_ne_one
0.000016     3644 rat.field._proof_3
0.000016     3645 rat.has_inv
0.000017     3646 rat.inv._main._proof_1
0.510748     3647 rat.inv._main.equations._eqn_2
0.000087     3648 rat.inv.equations._eqn_2
0.000021     3649 rat.inv._main._proof_2
0.000015     3650 rat.inv._main.equations._eqn_3
0.000014     3651 rat.inv.equations._eqn_3
0.000015     3652 rat.inv_def
0.000016     3653 rat.mul_inv_cancel
0.000014     3654 rat.field._proof_4
0.000014     3655 rat.field
0.000014     3656 rat.nonneg
0.000076     3657 rat.division_ring
0.000020     3658 rat.add_comm_group
0.000014     3659 rat.add_group
0.000014     3660 rat.le
0.000015     3661 partial_order.lt._default
0.000014     3662 rat.has_le
0.000014     3663 rat.le_refl
0.000016     3664 rat.add_comm_monoid
0.000017     3665 rat.add_comm_semigroup
0.000017     3666 add_semiconj_by
0.000016     3667 add_commute
0.000015     3668 add_commute.eq
0.000014     3669 add_commute.add_neg_cancel
0.000017     3670 add_commute.add_neg_cancel_assoc
0.000018     3671 add_commute.all
0.000017     3672 add_neg_cancel_comm_assoc
0.000016     3673 rat.nonneg.equations._eqn_1
0.000016     3674 nonneg_of_mul_nonneg_right
0.000015     3675 mul_nonneg
0.000015     3676 rat.mk_nonneg
0.000016     3677 le_add_of_nonneg_of_le
0.000014     3678 add_nonneg
0.000016     3679 rat.nonneg_add
0.000015     3680 rat.le_trans
0.000018     3681 rat.linear_order._proof_1
0.000017     3682 rat.nonneg_antisymm
0.000017     3683 rat.le_antisymm
0.000016     3684 neg_le_neg
0.000017     3685 neg_nonneg_of_nonpos
0.000016     3686 rat.nonneg_total
0.000017     3687 rat.le_total
0.000016     3688 rat.decidable_nonneg._proof_1
0.000016     3689 rat.decidable_nonneg
0.000017     3690 rat.decidable_eq._proof_1
0.000017     3691 rat.decidable_eq._proof_2
0.000016     3692 rat.decidable_eq._proof_3
0.000017     3693 rat.decidable_eq
0.000016     3694 rat.linear_order._proof_2
0.000017     3695 rat.linear_order
0.000017     3696 rat.le.equations._eqn_1
0.000016     3697 add_sub_add_left_eq_sub
0.000017     3698 rat.add_le_add_left
0.000016     3699 rat.linear_ordered_field._proof_1
0.000017     3700 rat.decidable_le._main
0.000017     3701 rat.decidable_le
0.000016     3702 rat.linear_ordered_field._proof_2
0.000017     3703 rat.lattice
0.000016     3704 rat.semilattice_inf
0.000017     3705 rat.partial_order
0.000016     3706 rat.nonneg_iff_zero_le
0.000017     3707 rat.nonneg_mul
0.000016     3708 rat.mul_nonneg
0.000017     3709 rat.preorder
0.000016     3710 rat.semiring
0.000017     3711 rat.linear_ordered_field._proof_3
0.000016     3712 rat.linear_ordered_field
0.000016     3713 rat.comm_ring
0.000017     3714 rat.linear_ordered_comm_ring
0.000016     3715 rat.linear_ordered_ring
0.000017     3716 rat.linear_ordered_add_comm_group
0.000016     3717 le_abs_self
0.000017     3718 neg_le_abs_self
0.000016     3719 abs_nonneg
0.000016     3720 iff_def'
0.000017     3721 decidable.not_imp_not
0.000016     3722 decidable.not_iff_not
0.000016     3723 not_iff_not
0.000016     3724 ne_comm
0.000017     3725 has_le.le.lt_iff_ne
0.000016     3726 abs_eq_zero
0.000016     3727 max_le_iff
0.000017     3728 abs_le'
0.000016     3729 neg_le
0.000016     3730 abs_le
0.000016     3731 abs_add
0.000017     3732 neg_eq_iff_neg_eq
0.000018     3733 abs.equations._eqn_1
0.000027     3734 abs_neg
0.000019     3735 abs_eq
0.000016     3736 abs_mul
0.000017     3737 abs_is_absolute_value
0.000016     3738 real
0.000017     3739 real.cases_on
0.000016     3740 cau_seq.pos
0.000017     3741 cau_seq.has_lt
0.000016     3742 sub_neg_eq_add
0.000017     3743 sub_sub_sub_cancel_right
0.000017     3744 sub_self_div_two
0.000016     3745 has_le.le.trans_lt
0.000017     3746 sup_lt_iff
0.000016     3747 max_lt_iff
0.000016     3748 neg_lt
0.000026     3749 abs_lt
0.000019     3750 cau_seq.pos_add_lim_zero
0.000017     3751 cau_seq.lt_of_eq_of_lt
0.000016     3752 cau_seq.lt_of_lt_of_eq
0.000016     3753 _private.2709591215.lt._main
0.000017     3754 _private.2709591215.lt
0.000016     3755 real.has_lt
0.000017     3756 _private.3042729189.le
0.000016     3757 real.has_le
0.000017     3758 cau_seq.completion.mk
0.000016     3759 cau_seq.completion.of_rat
0.000016     3760 cau_seq.completion.Cauchy.has_zero
0.000015     3761 _private.2110655729.zero
0.000014     3762 real.has_zero
0.000026     3763 nnreal
0.000020     3764 ennreal
0.000016     3765 has_edist
0.000017     3766 has_edist.edist
0.000016     3767 canonically_ordered_comm_semiring.mul
0.000016     3768 canonically_ordered_comm_semiring.mul_assoc
0.000017     3769 canonically_ordered_comm_semiring.one
0.000016     3770 canonically_ordered_comm_semiring.one_mul
0.000016     3771 canonically_ordered_comm_semiring.mul_one
0.000017     3772 canonically_ordered_comm_semiring.zero_mul
0.000016     3773 canonically_ordered_comm_semiring.mul_zero
0.000016     3774 canonically_ordered_comm_semiring.left_distrib
0.000017     3775 canonically_ordered_comm_semiring.right_distrib
0.000020     3776 canonically_ordered_comm_semiring.mul_comm
0.000024     3777 canonically_ordered_comm_semiring.to_comm_semiring
0.000018     3778 option.bind._main
0.000016     3779 option.bind
0.000016     3780 option.map
0.000017     3781 with_top.has_add
0.000016     3782 additive
0.000017     3783 with_zero
0.000017     3784 additive.of_mul._proof_1
0.000016     3785 additive.of_mul._proof_2
0.000016     3786 additive.of_mul
0.000017     3787 additive.to_mul
0.000016     3788 additive.has_add
0.057979     3789 additive.add_semigroup
0.000062     3790 additive.add_monoid._proof_1
0.000023     3791 additive.has_zero
0.000015     3792 additive.add_zero_class._proof_1
0.000014     3793 additive.add_zero_class._proof_2
0.000014     3794 additive.add_zero_class
0.000015     3795 additive.add_monoid._proof_2
0.000014     3796 additive.add_monoid._proof_3
0.000014     3797 additive.add_monoid
0.000014     3798 additive.add_comm_monoid._proof_1
0.000018     3799 additive.add_comm_monoid._proof_2
0.000017     3800 additive.add_comm_monoid._proof_3
0.000017     3801 additive.add_comm_semigroup._proof_1
0.000017     3802 additive.add_comm_semigroup._proof_2
0.000014     3803 additive.add_comm_semigroup
0.000014     3804 additive.add_comm_monoid._proof_4
0.000017     3805 additive.add_comm_monoid
0.000018     3806 with_zero.has_zero
0.000016     3807 with_zero.mul_zero_class._proof_1
0.000017     3808 with_zero.mul_zero_class._proof_2
0.000016     3809 with_zero.mul_zero_class
0.000016     3810 with_zero.semigroup._match_1
0.000017     3811 with_zero.semigroup._proof_1
0.000017     3812 with_zero.semigroup
0.000016     3813 with_zero.monoid_with_zero._proof_1
0.000017     3814 with_zero.has_coe_t
0.000016     3815 with_zero.has_one
0.000017     3816 with_zero.monoid_with_zero._match_1
0.000016     3817 with_zero.monoid_with_zero._proof_2
0.000016     3818 with_zero.monoid_with_zero._match_2
0.000017     3819 with_zero.monoid_with_zero._proof_3
0.000016     3820 with_zero.monoid_with_zero._proof_4
0.000016     3821 with_zero.monoid_with_zero._proof_5
0.000017     3822 with_zero.monoid_with_zero
0.000016     3823 with_zero.comm_monoid_with_zero._proof_1
0.000016     3824 with_zero.comm_monoid_with_zero._proof_2
0.000016     3825 with_zero.comm_monoid_with_zero._proof_3
0.000017     3826 with_zero.comm_semigroup._proof_1
0.000016     3827 with_zero.mul_zero
0.000017     3828 with_zero.comm_semigroup._match_1
0.000016     3829 with_zero.comm_semigroup._proof_2
0.000016     3830 with_zero.comm_semigroup
0.000017     3831 with_zero.comm_monoid_with_zero._proof_4
0.000016     3832 with_zero.comm_monoid_with_zero._proof_5
0.000017     3833 with_zero.comm_monoid_with_zero._proof_6
0.000016     3834 with_zero.comm_monoid_with_zero
0.000017     3835 with_top.add_comm_monoid._proof_1
0.000016     3836 with_top.has_coe_t
0.000016     3837 with_top.has_zero
0.000017     3838 with_top.add_comm_monoid._proof_2
0.000016     3839 with_top.add_comm_monoid._proof_3
0.000016     3840 with_top.add_comm_monoid._proof_4
0.000016     3841 with_top.add_comm_monoid
0.000017     3842 with_top.canonically_ordered_comm_semiring._proof_1
0.000016     3843 with_top.canonically_ordered_comm_semiring._proof_2
0.000016     3844 with_top.canonically_ordered_comm_semiring._proof_3
0.000017     3845 with_top.canonically_ordered_comm_semiring._proof_4
0.000014     3846 with_top.ordered_add_comm_monoid._proof_1
0.000014     3847 with_top.ordered_add_comm_monoid._proof_2
0.000016     3848 with_top.ordered_add_comm_monoid._proof_3
0.000017     3849 with_top.ordered_add_comm_monoid._proof_4
0.000016     3850 option.has_mem
0.000017     3851 with_top.has_lt
0.000016     3852 with_top.preorder._proof_1
0.000017     3853 with_top.preorder._match_1
0.000016     3854 with_top.preorder._match_2
0.000016     3855 with_top.preorder._proof_2
0.000017     3856 option.not_mem_none
0.000016     3857 Exists.fst
0.000017     3858 exists_prop_of_false
0.000016     3859 exists_false_left
0.000016     3860 exists_false
0.000017     3861 option.mem_def
0.000016     3862 option.some.inj
0.000016     3863 option.some.inj_eq
0.000016     3864 forall_eq'
0.000017     3865 exists_eq_left'
0.000016     3866 exists_eq'
0.000016     3867 with_top.some_lt_none
0.000016     3868 with_top.some_lt_some
0.000017     3869 with_top.preorder._proof_3
0.000016     3870 with_top.preorder
0.000017     3871 with_top.partial_order._proof_1
0.000016     3872 with_top.partial_order._proof_2
0.000017     3873 with_top.partial_order._proof_3
0.000016     3874 with_top.partial_order._proof_4
0.000016     3875 with_top.partial_order
0.000017     3876 with_top.ordered_add_comm_monoid._proof_5
0.000016     3877 with_top.ordered_add_comm_monoid._proof_6
0.000016     3878 with_top.ordered_add_comm_monoid._proof_7
0.000017     3879 with_top.ordered_add_comm_monoid._proof_8
0.000016     3880 has_top
0.000017     3881 has_top.top
0.000016     3882 with_top.has_top
0.000017     3883 order_top
0.000016     3884 order_top.top
0.000016     3885 order_top.to_has_top
0.000025     3886 with_top.order_top._proof_1
0.000021     3887 with_top.order_top._proof_2
0.000017     3888 with_top.order_top._proof_3
0.000017     3889 with_top.order_top._proof_4
0.000017     3890 with_top.order_top._proof_5
0.000016     3891 with_top.order_top
0.000017     3892 with_top.none_eq_top
0.000017     3893 with_top.top_add
0.000016     3894 order_top.le
0.000016     3895 order_top.lt
0.000016     3896 order_top.le_refl
0.000017     3897 order_top.le_trans
0.000016     3898 order_top.lt_iff_le_not_le
0.149264     3899 order_top.le_antisymm
0.000081     3900 order_top.to_partial_order
0.000023     3901 order_top.le_top
0.000015     3902 le_top
0.000014     3903 top_unique
0.000014     3904 top_le_iff
0.000014     3905 with_top.add_top
0.000018     3906 with_top.coe_ne_top
0.000022     3907 with_top.top_ne_coe
0.000019     3908 with_top.some_eq_coe
0.000015     3909 option.some_inj
0.000014     3910 with_top.coe_le_coe
0.000014     3911 with_top.coe_eq_coe
0.000014     3912 with_top.le_coe_iff
0.000017     3913 with_top.coe_add
0.000017     3914 with_top.ordered_add_comm_monoid._proof_9
0.000017     3915 not_top_lt
0.000016     3916 with_top.lt_iff_exists_coe
0.000015     3917 exists_and_distrib_left
0.000014     3918 with_top.add_eq_coe
0.000016     3919 with_top.coe_lt_top
0.000015     3920 with_top.coe_lt_coe
0.000017     3921 with_top.coe_lt_iff
0.000017     3922 with_top.ordered_add_comm_monoid._proof_10
0.000014     3923 with_top.ordered_add_comm_monoid
0.000014     3924 with_top.canonically_ordered_add_monoid._proof_1
0.000017     3925 with_top.canonically_ordered_add_monoid._proof_2
0.000015     3926 with_top.canonically_ordered_add_monoid._proof_3
0.000017     3927 with_top.canonically_ordered_add_monoid._proof_4
0.000017     3928 with_top.order_bot._proof_1
0.000014     3929 with_top.order_bot._proof_2
0.000014     3930 with_top.order_bot._proof_3
0.000017     3931 with_top.order_bot._proof_4
0.000014     3932 with_top.order_bot._proof_5
0.000016     3933 with_top.order_bot
0.000018     3934 canonically_ordered_add_monoid.bot
0.000017     3935 canonically_ordered_add_monoid.bot_le
0.000017     3936 canonically_ordered_add_monoid.to_order_bot
0.000023     3937 with_top.canonically_ordered_add_monoid._proof_5
0.000018     3938 with_top.canonically_ordered_add_monoid._proof_6
0.000017     3939 with_top.canonically_ordered_add_monoid._proof_7
0.000019     3940 with_top.canonically_ordered_add_monoid._proof_8
0.000022     3941 with_top.canonically_ordered_add_monoid._proof_9
0.000018     3942 with_top.canonically_ordered_add_monoid._proof_10
0.000016     3943 with_top.canonically_ordered_add_monoid._proof_11
0.000017     3944 iff_true
0.000017     3945 true_iff
0.000016     3946 with_zero.coe_inj
0.000017     3947 with_top.canonically_ordered_add_monoid._match_2
0.000016     3948 with_top.canonically_ordered_add_monoid._match_1
0.000017     3949 with_top.canonically_ordered_add_monoid._proof_12
0.000016     3950 with_top.canonically_ordered_add_monoid
0.000017     3951 with_top.canonically_ordered_comm_semiring._proof_5
0.000016     3952 with_top.canonically_ordered_comm_semiring._proof_6
0.000017     3953 with_top.canonically_ordered_comm_semiring._proof_7
0.000016     3954 with_top.canonically_ordered_comm_semiring._proof_8
0.000017     3955 with_top.canonically_ordered_comm_semiring._proof_9
0.000016     3956 with_top.canonically_ordered_comm_semiring._proof_10
0.000016     3957 with_top.canonically_ordered_comm_semiring._proof_11
0.000016     3958 with_top.canonically_ordered_comm_semiring._proof_12
0.000016     3959 option.decidable_eq._match_1
0.000017     3960 option.decidable_eq._main
0.000016     3961 option.decidable_eq
0.000016     3962 coe_option
0.000016     3963 with_top.mul_zero_class._proof_1
0.000017     3964 with_top.mul_zero_class._proof_2
0.000016     3965 with_top.mul_zero_class
0.000016     3966 with_top.mul_def
0.000017     3967 with_top.top_ne_zero
0.000016     3968 option.none_bind'
0.000016     3969 option.some_bind'
0.000016     3970 with_top.top_mul
0.000016     3971 with_top.coe_eq_zero
0.000016     3972 with_top.coe_zero
0.000017     3973 with_top.no_zero_divisors
0.000016     3974 canonically_ordered_comm_semiring.eq_zero_or_eq_zero_of_mul_eq_zero
0.000016     3975 canonically_ordered_semiring.canonically_ordered_comm_semiring.to_no_zero_divisors
0.000017     3976 with_top.mul_top
0.000016     3977 with_top.coe_mul
0.000016     3978 _private.3021166713.assoc
0.000017     3979 with_top.canonically_ordered_comm_semiring._proof_13
0.000016     3980 with_top.has_one
0.000016     3981 _private.4258522787.one_mul'
0.000016     3982 with_top.canonically_ordered_comm_semiring._proof_14
0.000016     3983 option.bind_comm
0.000016     3984 _private.2283398451.comm
0.000017     3985 with_top.canonically_ordered_comm_semiring._proof_15
0.000016     3986 with_top.canonically_ordered_comm_semiring._proof_16
0.000016     3987 with_top.canonically_ordered_comm_semiring._proof_17
0.000016     3988 with_top.add_monoid._proof_1
0.000017     3989 with_top.add_monoid._proof_2
0.000016     3990 with_top.add_monoid._proof_3
0.000016     3991 with_top.add_monoid
0.000016     3992 le_add_of_le_of_nonneg
0.000017     3993 add_eq_zero_iff'
0.000016     3994 add_eq_zero_iff
0.000016     3995 with_top.mul_coe
0.000016     3996 _private.1166529517.distrib'
0.000016     3997 with_top.canonically_ordered_comm_semiring._proof_18
0.000016     3998 with_top.canonically_ordered_comm_semiring._proof_19
0.824827     3999 with_top.canonically_ordered_comm_semiring._proof_20
0.000089     4000 with_top.canonically_ordered_comm_semiring._proof_21
0.000022     4001 with_top.canonically_ordered_comm_semiring
0.000015     4002 subtype.decidable_eq._proof_1
0.000014     4003 subtype.no_confusion_type
0.000015     4004 subtype.no_confusion
0.000014     4005 subtype.mk.inj
0.000014     4006 subtype.mk.inj_arrow
0.000014     4007 subtype.decidable_eq._proof_2
0.000015     4008 subtype.decidable_eq
0.000018     4009 real.decidable_eq
0.000025     4010 canonically_linear_ordered_add_monoid
0.000018     4011 canonically_linear_ordered_add_monoid.add
0.000014     4012 cau_seq.completion.Cauchy.has_add._proof_1
0.000014     4013 cau_seq.completion.Cauchy.has_add
0.000017     4014 _private.2746638945.add._main
0.000016     4015 _private.2746638945.add
0.000017     4016 real.has_add
0.000016     4017 nnreal.real.has_coe
0.000015     4018 _private.2746638945.add._main.equations._eqn_1
0.000013     4019 _private.2746638945.add.equations._eqn_1
0.000015     4020 real.add_cauchy
0.000015     4021 real.no_confusion_type
0.000018     4022 real.no_confusion
0.000020     4023 real.of_cauchy.inj
0.000024     4024 real.of_cauchy.inj_eq
0.000015     4025 quotient.induction_on
0.000018     4026 cau_seq.completion.mk_eq_mk
0.000015     4027 cau_seq.completion.mk_add
0.000017     4028 cau_seq.completion.Cauchy.comm_ring._proof_1
0.000017     4029 _private.3197314233.zero_def
0.000017     4030 cau_seq.completion.Cauchy.comm_ring._proof_2
0.000017     4031 cau_seq.completion.Cauchy.comm_ring._proof_3
0.000017     4032 quotient.lift_on
0.000016     4033 sub_eq_neg_add
0.000017     4034 neg_sub_neg
0.000017     4035 cau_seq.completion.Cauchy.has_neg._proof_1
0.000017     4036 cau_seq.completion.Cauchy.has_neg
0.000021     4037 cau_seq.sub_lim_zero
0.000019     4038 cau_seq.completion.Cauchy.has_sub._proof_1
0.000017     4039 cau_seq.completion.Cauchy.has_sub
0.000017     4040 cau_seq.completion.mk_sub
0.000016     4041 cau_seq.completion.mk_neg
0.000017     4042 cau_seq.completion.Cauchy.comm_ring._proof_4
0.000017     4043 cau_seq.completion.Cauchy.comm_ring._proof_5
0.000016     4044 cau_seq.completion.Cauchy.comm_ring._proof_6
0.000017     4045 cau_seq.comm_ring._proof_1
0.000017     4046 cau_seq.comm_ring._proof_2
0.000017     4047 cau_seq.comm_ring._proof_3
0.000016     4048 cau_seq.comm_ring._proof_4
0.000016     4049 cau_seq.comm_ring._proof_5
0.000017     4050 cau_seq.comm_ring._proof_6
0.000017     4051 cau_seq.comm_ring._proof_7
0.000016     4052 cau_seq.comm_ring._proof_8
0.000017     4053 cau_seq.comm_ring._proof_9
0.000016     4054 cau_seq.comm_ring._proof_10
0.000017     4055 cau_seq.comm_ring._proof_11
0.000017     4056 cau_seq.comm_ring._proof_12
0.000016     4057 cau_seq.comm_ring
0.000017     4058 cau_seq.completion.Cauchy.has_mul._proof_1
0.000017     4059 cau_seq.completion.Cauchy.has_mul
0.000016     4060 cau_seq.completion.mk_mul
0.000017     4061 cau_seq.completion.Cauchy.comm_ring._proof_7
0.000016     4062 cau_seq.completion.Cauchy.has_one
0.000016     4063 _private.2461041663.one_def
0.000017     4064 cau_seq.completion.Cauchy.comm_ring._proof_8
0.000017     4065 cau_seq.completion.Cauchy.comm_ring._proof_9
0.000016     4066 cau_seq.completion.Cauchy.comm_ring._proof_10
0.000017     4067 cau_seq.completion.Cauchy.comm_ring._proof_11
0.000016     4068 cau_seq.completion.Cauchy.comm_ring._proof_12
0.000017     4069 cau_seq.completion.Cauchy.comm_ring
0.000016     4070 real.comm_ring._proof_1
0.000016     4071 _private.2110655729.zero.equations._eqn_1
0.000017     4072 real.zero_cauchy
0.000016     4073 real.comm_ring._proof_2
0.000017     4074 real.comm_ring._proof_3
0.000017     4075 _private.1826346031.neg._main
0.000016     4076 _private.1826346031.neg
0.000016     4077 real.has_neg
0.000017     4078 _private.1826346031.neg._main.equations._eqn_1
0.000016     4079 _private.1826346031.neg.equations._eqn_1
0.000017     4080 real.neg_cauchy
0.000016     4081 real.comm_ring._proof_4
0.000017     4082 real.comm_ring._proof_5
0.000016     4083 real.comm_ring._proof_6
0.000018     4084 _private.3772544911.mul._main
0.000017     4085 _private.3772544911.mul
0.000016     4086 real.has_mul
0.000017     4087 _private.3772544911.mul._main.equations._eqn_1
0.000016     4088 _private.3772544911.mul.equations._eqn_1
0.000017     4089 real.mul_cauchy
0.000016     4090 real.comm_ring._proof_7
0.000017     4091 _private.4116796893.one
0.000017     4092 real.has_one
0.000016     4093 _private.4116796893.one.equations._eqn_1
0.000017     4094 real.one_cauchy
0.000016     4095 real.comm_ring._proof_8
0.000017     4096 real.comm_ring._proof_9
0.000016     4097 real.comm_ring._proof_10
0.000017     4098 real.comm_ring._proof_11
0.000016     4099 real.comm_ring._proof_12
0.000017     4100 real.comm_ring
0.000017     4101 real.mk
0.000016     4102 real.ind_mk
0.000017     4103 cau_seq.has_le
0.000016     4104 _private.3042729189.le.equations._eqn_1
0.000017     4105 _private.1781627977.le_def
0.805533     4106 _private.2709591215.lt._main.equations._eqn_1
0.000088     4107 _private.2709591215.lt.equations._eqn_1
0.000023     4108 real.lt_cauchy
0.000014     4109 real.mk_lt
0.000015     4110 real.cauchy
0.000014     4111 real.ext_cauchy_iff
0.000016     4112 cau_seq.completion.mk_eq
0.000014     4113 real.mk_eq
0.000014     4114 real.mk_le
0.000014     4115 cau_seq.preorder._proof_1
0.000017     4116 cau_seq.add_pos
0.000017     4117 cau_seq.lt_trans
0.000016     4118 cau_seq.preorder._match_1
0.000015     4119 cau_seq.preorder._proof_2
0.000014     4120 cau_seq.not_lim_zero_of_pos
0.000014     4121 cau_seq.lt_irrefl
0.000018     4122 cau_seq.preorder._match_2
0.000015     4123 cau_seq.preorder._proof_3
0.000015     4124 cau_seq.preorder
0.000015     4125 real.partial_order._proof_1
0.000014     4126 real.partial_order._proof_2
0.000014     4127 real.partial_order._proof_3
0.000017     4128 cau_seq.le_antisymm
0.000026     4129 real.partial_order._proof_4
0.000019     4130 real.partial_order
0.000014     4131 real.ring
0.000017     4132 real.add_comm_group
0.000015     4133 real.add_group
0.000014     4134 real.add_right_cancel_semigroup
0.000014     4135 real.preorder
0.000017     4136 real.inhabited
0.000017     4137 real.mk.equations._eqn_1
0.000016     4138 real.mk_add
0.000017     4139 real.add_lt_add_iff_left
0.000017     4140 real.ordered_ring._proof_1
0.000017     4141 semiring.add_assoc
0.000016     4142 semiring.zero_add
0.000017     4143 semiring.add_zero
0.000017     4144 semiring.add_comm
0.000016     4145 semiring.to_add_comm_monoid
0.000017     4146 ring_hom
0.000016     4147 real.semiring
0.000016     4148 ring_hom.to_fun
0.000016     4149 ring_hom.has_coe_to_fun
0.000017     4150 function.comp_app
0.000017     4151 cau_seq.completion.of_rat_one
0.000016     4152 real.of_rat._proof_1
0.000016     4153 cau_seq.const_mul
0.000017     4154 cau_seq.completion.of_rat_mul
0.000017     4155 euclidean_domain.exists_pair_ne
0.000016     4156 euclidean_domain.to_nontrivial
0.000016     4157 rat.nontrivial
0.000017     4158 real.of_rat._proof_2
0.000016     4159 cau_seq.completion.of_rat_zero
0.000017     4160 real.of_rat._proof_3
0.000016     4161 cau_seq.const_add
0.000017     4162 cau_seq.completion.of_rat_add
0.000016     4163 real.of_rat._proof_4
0.000017     4164 real.of_rat
0.000016     4165 rat.ordered_ring
0.000016     4166 rat.ordered_semiring
0.000017     4167 ring_hom.map_zero'
0.000016     4168 ring_hom.map_zero
0.000017     4169 ring_hom.map_one'
0.000016     4170 ring_hom.map_one
0.000016     4171 rat.has_lt
0.000017     4172 cau_seq.const_sub
0.000016     4173 cau_seq.const_pos
0.000016     4174 cau_seq.const_lt
0.000017     4175 real.of_rat_lt
0.000016     4176 real.zero_lt_one
0.000017     4177 real.ordered_ring._proof_2
0.000016     4178 real.mk_zero
0.000017     4179 iff_of_eq
0.000016     4180 real.mk_pos
0.000016     4181 real.mk_mul
0.000017     4182 mul_le_mul
0.000017     4183 cau_seq.mul_pos
0.000016     4184 real.mul_pos
0.000016     4185 real.ordered_ring
0.000017     4186 real.ordered_semiring
0.000016     4187 real.ordered_cancel_add_comm_monoid
0.000017     4188 real.ordered_add_comm_monoid
0.000016     4189 nnreal.has_add._proof_1
0.000017     4190 nnreal.has_add
0.000016     4191 function.injective.add_semigroup._proof_1
0.000017     4192 function.injective.add_semigroup
0.000016     4193 function.injective.add_comm_semigroup._proof_1
0.000017     4194 function.injective.add_comm_semigroup._proof_2
0.000027     4195 function.injective.add_comm_semigroup
0.000020     4196 function.injective.add_comm_monoid._proof_1
0.000016     4197 function.injective.add_monoid._proof_1
0.000017     4198 function.injective.add_zero_class._proof_1
0.000016     4199 function.injective.add_zero_class._proof_2
0.000017     4200 function.injective.add_zero_class
0.000016     4201 function.injective.add_monoid._proof_2
0.000017     4202 function.injective.add_monoid._proof_3
0.000016     4203 function.injective.add_monoid
0.000017     4204 function.injective.add_comm_monoid._proof_2
0.000016     4205 function.injective.add_comm_monoid._proof_3
0.000015     4206 function.injective.add_comm_monoid._proof_4
0.000015     4207 function.injective.add_comm_monoid
0.000016     4208 function.injective.semiring._proof_1
0.000017     4209 function.injective.semigroup._proof_1
0.000016     4210 function.injective.semigroup
0.000017     4211 function.injective.monoid._proof_1
0.000016     4212 function.injective.mul_one_class._proof_1
0.000017     4213 function.injective.mul_one_class._proof_2
0.000016     4214 function.injective.mul_one_class
0.000017     4215 function.injective.monoid._proof_2
0.000016     4216 function.injective.monoid._proof_3
0.000017     4217 function.injective.monoid
0.000016     4218 function.injective.monoid_with_zero._proof_1
0.000016     4219 function.injective.monoid_with_zero._proof_2
0.000017     4220 function.injective.monoid_with_zero._proof_3
0.000016     4221 function.injective.mul_zero_class._proof_1
0.000017     4222 function.injective.mul_zero_class._proof_2
0.000016     4223 function.injective.mul_zero_class
0.315091     4224 function.injective.monoid_with_zero._proof_4
0.000093     4225 function.injective.monoid_with_zero._proof_5
0.000024     4226 function.injective.monoid_with_zero
0.000015     4227 function.injective.semiring._proof_2
0.000014     4228 function.injective.semiring._proof_3
0.000015     4229 function.injective.semiring._proof_4
0.000014     4230 function.injective.semiring._proof_5
0.000014     4231 function.injective.semiring._proof_6
0.000014     4232 function.injective.semiring._proof_7
0.000015     4233 function.injective.semiring._proof_8
0.000016     4234 function.injective.semiring._proof_9
0.000018     4235 function.injective.distrib._proof_1
0.000016     4236 function.injective.distrib._proof_2
0.000015     4237 function.injective.distrib
0.000014     4238 function.injective.semiring._proof_10
0.000016     4239 function.injective.semiring._proof_11
0.000019     4240 function.injective.semiring
0.000015     4241 function.injective.comm_semiring._proof_1
0.000016     4242 function.injective.comm_semiring._proof_2
0.000015     4243 function.injective.comm_semiring._proof_3
0.000014     4244 function.injective.comm_semiring._proof_4
0.000017     4245 function.injective.comm_semiring._proof_5
0.000018     4246 function.injective.comm_semiring._proof_6
0.000016     4247 function.injective.comm_semiring._proof_7
0.000017     4248 function.injective.comm_semiring._proof_8
0.000014     4249 function.injective.comm_semiring._proof_9
0.000014     4250 function.injective.comm_semiring._proof_10
0.000018     4251 function.injective.comm_semiring._proof_11
0.000015     4252 function.injective.comm_semigroup._proof_1
0.000016     4253 function.injective.comm_semigroup._proof_2
0.000016     4254 function.injective.comm_semigroup
0.000017     4255 function.injective.comm_semiring._proof_12
0.000016     4256 function.injective.comm_semiring
0.000017     4257 real.comm_semiring
0.000016     4258 nnreal.has_zero._proof_1
0.000016     4259 nnreal.has_zero
0.000017     4260 nnreal.has_one
0.000016     4261 nnreal.has_mul._proof_1
0.000016     4262 nnreal.has_mul
0.000016     4263 coe_subtype
0.000016     4264 subtype.ext
0.000017     4265 subtype.coe_injective
0.000016     4266 nnreal.coe_injective
0.000016     4267 nnreal.comm_semiring._proof_1
0.000016     4268 nnreal.comm_semiring._proof_2
0.000016     4269 nnreal.comm_semiring._proof_3
0.000017     4270 nnreal.comm_semiring._proof_4
0.000016     4271 nnreal.comm_semiring._proof_5
0.000016     4272 nnreal.comm_semiring._proof_6
0.000016     4273 nnreal.comm_semiring._proof_7
0.000017     4274 nnreal.comm_semiring._proof_8
0.000016     4275 nnreal.comm_semiring._proof_9
0.000017     4276 nnreal.comm_semiring._proof_10
0.000016     4277 nnreal.comm_semiring._proof_11
0.000017     4278 nnreal.comm_semiring._proof_12
0.000016     4279 nnreal.comm_semiring
0.000016     4280 nnreal.has_bot
0.000017     4281 preorder.lift._proof_1
0.000016     4282 preorder.lift._proof_2
0.000016     4283 preorder.lift._proof_3
0.000017     4284 preorder.lift
0.000014     4285 partial_order.lift._proof_1
0.000014     4286 partial_order.lift._proof_2
0.000017     4287 partial_order.lift._proof_3
0.000016     4288 partial_order.lift._proof_4
0.000016     4289 partial_order.lift
0.000017     4290 linear_order.lift._proof_1
0.000016     4291 linear_order.lift._proof_2
0.000017     4292 linear_order.lift._proof_3
0.000016     4293 linear_order.lift._proof_4
0.000016     4294 linear_order.lift._proof_5
0.000017     4295 eq.decidable
0.000016     4296 has_lt.lt.decidable
0.000016     4297 linear_order.lift
0.000017     4298 ge_iff_le
0.000016     4299 cau_seq.abv_pos_of_not_lim_zero
0.000016     4300 le_neg_add_iff_add_le
0.000017     4301 le_sub_iff_add_le'
0.000016     4302 le_sub_iff_add_le
0.000016     4303 neg_add_le_iff_le_add
0.000017     4304 neg_add_le_iff_le_add'
0.000016     4305 neg_le_sub_iff_le_add
0.000016     4306 neg_le_sub_iff_le_add'
0.000016     4307 add_le_add_iff_right
0.000017     4308 sub_le_sub_iff_right
0.000016     4309 neg_eq_zero_sub
0.000016     4310 zero_sub
0.000017     4311 cau_seq.trichotomy
0.000016     4312 cau_seq.lt_total
0.000016     4313 cau_seq.le_total
0.000016     4314 real.linear_order._proof_1
0.000017     4315 real.linear_order
0.000016     4316 nnreal.linear_order
0.000016     4317 nnreal.order_bot._match_1
0.000017     4318 nnreal.order_bot._proof_1
0.000016     4319 nnreal.order_bot
0.000017     4320 nnreal.canonically_linear_ordered_add_monoid._proof_1
0.000016     4321 nnreal.canonically_linear_ordered_add_monoid._proof_2
0.000017     4322 real.has_sub
0.000016     4323 real.ordered_add_comm_group
0.000016     4324 real.add_monoid
0.000026     4325 nnreal.eq
0.000016     4326 add_sub_cancel'
0.000015     4327 add_sub_cancel'_right
0.000014     4328 nnreal.canonically_linear_ordered_add_monoid._match_1
0.000017     4329 nnreal.canonically_linear_ordered_add_monoid._match_2
0.000016     4330 nnreal.canonically_linear_ordered_add_monoid._match_3
0.000017     4331 nnreal.canonically_linear_ordered_add_monoid._proof_3
0.576186     4332 nnreal.canonically_linear_ordered_add_monoid
0.000094     4333 canonically_linear_ordered_add_monoid.add_assoc
0.000024     4334 canonically_linear_ordered_add_monoid.zero
0.000014     4335 canonically_linear_ordered_add_monoid.zero_add
0.000015     4336 canonically_linear_ordered_add_monoid.add_zero
0.000014     4337 canonically_linear_ordered_add_monoid.add_comm
0.000014     4338 canonically_linear_ordered_add_monoid.le
0.000015     4339 canonically_linear_ordered_add_monoid.lt
0.000014     4340 canonically_linear_ordered_add_monoid.le_refl
0.000014     4341 canonically_linear_ordered_add_monoid.le_trans
0.000014     4342 canonically_linear_ordered_add_monoid.lt_iff_le_not_le
0.000017     4343 canonically_linear_ordered_add_monoid.le_antisymm
0.000016     4344 canonically_linear_ordered_add_monoid.add_le_add_left
0.000015     4345 canonically_linear_ordered_add_monoid.lt_of_add_lt_add_left
0.000014     4346 canonically_linear_ordered_add_monoid.bot
0.000015     4347 canonically_linear_ordered_add_monoid.bot_le
0.000014     4348 canonically_linear_ordered_add_monoid.le_iff_exists_add
0.000016     4349 function.injective.group_with_zero._proof_1
0.000015     4350 function.injective.group_with_zero._proof_2
0.000017     4351 function.injective.group_with_zero._proof_3
0.000017     4352 function.injective.group_with_zero._proof_4
0.000016     4353 function.injective.group_with_zero._proof_5
0.000015     4354 function.injective.div_inv_monoid._proof_1
0.000014     4355 function.injective.div_inv_monoid._proof_2
0.000016     4356 function.injective.div_inv_monoid._proof_3
0.000019     4357 function.injective.div_inv_monoid._proof_4
0.000015     4358 function.injective.div_inv_monoid
0.000016     4359 function.injective.group_with_zero._proof_6
0.000015     4360 pullback_nonzero
0.000014     4361 function.injective.group_with_zero._proof_7
0.000017     4362 function.injective.group_with_zero._proof_8
0.000019     4363 function.injective.ne
0.000015     4364 function.injective.ne_iff
0.000014     4365 function.injective.ne_iff'
0.000014     4366 function.injective.group_with_zero._proof_9
0.000014     4367 function.injective.group_with_zero
0.000017     4368 function.injective.comm_group_with_zero._proof_1
0.000016     4369 function.injective.comm_group_with_zero._proof_2
0.000017     4370 function.injective.comm_group_with_zero._proof_3
0.000016     4371 function.injective.comm_group_with_zero._proof_4
0.000016     4372 function.injective.comm_group_with_zero._proof_5
0.000017     4373 function.injective.comm_group_with_zero._proof_6
0.000016     4374 function.injective.comm_group_with_zero._proof_7
0.000016     4375 function.injective.comm_group_with_zero._proof_8
0.000017     4376 function.injective.comm_group_with_zero._proof_9
0.000016     4377 function.injective.comm_group_with_zero._proof_10
0.000017     4378 function.injective.comm_group_with_zero
0.000016     4379 real.nontrivial
0.000016     4380 real.linear_ordered_comm_ring
0.000016     4381 linear_ordered_comm_ring.mul_comm
0.000016     4382 inv_eq_one_div
0.000017     4383 neg_eq_neg_one_mul
0.000016     4384 mul_div_assoc
0.000017     4385 mul_div_mul_right
0.000016     4386 mul_div_mul_left
0.000016     4387 div_add_div
0.000017     4388 field.to_comm_ring
0.000016     4389 div_sub_div
0.000017     4390 inv_sub_inv
0.000016     4391 ne.equations._eqn_1
0.000017     4392 is_absolute_value.abv_pos
0.000016     4393 monoid_with_zero_hom
0.000016     4394 monoid_with_zero_hom.to_fun
0.000017     4395 monoid_with_zero_hom.has_coe_to_fun
0.000016     4396 monoid_with_zero_hom.map_mul'
0.000016     4397 monoid_with_zero_hom.map_mul
0.000016     4398 monoid_with_zero_hom.map_zero'
0.000017     4399 monoid_with_zero_hom.map_zero
0.000016     4400 monoid_with_zero_hom.map_one'
0.000017     4401 monoid_with_zero_hom.map_one
0.000016     4402 monoid_with_zero_hom.map_inv'
0.000017     4403 monoid_with_zero_hom.map_div
0.000016     4404 is_absolute_value.abv_one
0.000016     4405 is_absolute_value.abv_hom
0.000016     4406 is_absolute_value.abv_div
0.000016     4407 lt_iff_lt_of_le_iff_le
0.000016     4408 div_eq_mul_one_div
0.000016     4409 one_div_pos
0.000017     4410 div_eq_iff_mul_eq
0.000016     4411 div_eq_iff
0.000016     4412 div_le_iff
0.000017     4413 lt_div_iff
0.000016     4414 div_mul_eq_mul_div
0.000016     4415 mul_mul_div
0.000017     4416 le_div_iff
0.000016     4417 div_lt_iff
0.000016     4418 div_lt_div_iff
0.000017     4419 has_lt.lt.trans_le
0.000016     4420 mul_lt_mul
0.000016     4421 div_lt_div
0.000016     4422 rat_inv_continuous_lemma
0.000016     4423 cau_seq.inv_aux
0.000017     4424 cau_seq.inv
0.000016     4425 cau_seq.lim_zero_congr
0.000016     4426 cau_seq.inv_apply
0.000016     4427 cau_seq.inv_mul_cancel
0.000017     4428 cau_seq.completion.Cauchy.has_inv._proof_1
0.000016     4429 cau_seq.completion.Cauchy.has_inv
0.000017     4430 _private.172056263.inv'._main
0.000016     4431 _private.172056263.inv'
0.691955     4432 real.has_inv
0.000089     4433 field.div._default
0.000024     4434 real.linear_ordered_field._proof_1
0.000014     4435 real.comm_semigroup
0.000015     4436 _private.172056263.inv'._main.equations._eqn_1
0.000014     4437 _private.172056263.inv'.equations._eqn_1
0.000015     4438 real.inv_cauchy
0.000014     4439 cau_seq.completion.mk_eq_zero
0.000014     4440 cau_seq.completion.inv_mk
0.000014     4441 cau_seq.completion.inv_mul_cancel
0.000019     4442 real.linear_ordered_field._proof_2
0.000017     4443 cau_seq.completion.inv_zero
0.000017     4444 real.linear_ordered_field._proof_3
0.000017     4445 real.linear_ordered_field
0.000017     4446 real.field
0.000017     4447 nnreal.has_inv._proof_1
0.000018     4448 nnreal.has_inv
0.000016     4449 push_neg.not_and_eq
0.000017     4450 push_neg.not_le_eq
0.000017     4451 lt_asymm
0.000016     4452 has_lt.lt.asymm
0.000017     4453 nonneg_and_nonneg_or_nonpos_and_nonpos_of_mul_nnonneg
0.000016     4454 le_of_neg_le_neg
0.000017     4455 mul_le_mul_of_nonpos_right
0.000016     4456 mul_nonneg_of_nonpos_of_nonpos
0.000017     4457 mul_nonneg_iff
0.000014     4458 inv_nonpos
0.000014     4459 div_nonneg_iff
0.000016     4460 div_nonneg
0.000017     4461 nnreal.has_div._proof_1
0.000017     4462 nnreal.has_div
0.000017     4463 nnreal.comm_group_with_zero._proof_1
0.000016     4464 nnreal.comm_group_with_zero._proof_2
0.000017     4465 nnreal.comm_group_with_zero._proof_3
0.000017     4466 nnreal.comm_group_with_zero._proof_4
0.000017     4467 nnreal.comm_group_with_zero._proof_5
0.000017     4468 nnreal.comm_group_with_zero._proof_6
0.000018     4469 nnreal.comm_group_with_zero._proof_7
0.000017     4470 nnreal.comm_group_with_zero._proof_8
0.000016     4471 nnreal.comm_group_with_zero._proof_9
0.000017     4472 nnreal.comm_group_with_zero._proof_10
0.000016     4473 nnreal.comm_group_with_zero
0.000017     4474 nnreal.canonically_ordered_comm_semiring._proof_1
0.000016     4475 nnreal.canonically_ordered_comm_semiring
0.000017     4476 real.add_left_cancel_semigroup
0.000018     4477 nnreal.eq_iff
0.000016     4478 nnreal.linear_ordered_semiring._proof_1
0.000017     4479 nnreal.linear_ordered_semiring._proof_2
0.000018     4480 nnreal.linear_ordered_semiring._proof_3
0.000017     4481 nnreal.linear_ordered_semiring._proof_4
0.000016     4482 canonically_linear_ordered_add_monoid.le_total
0.000017     4483 canonically_linear_ordered_add_monoid.decidable_le
0.000017     4484 canonically_linear_ordered_add_monoid.decidable_eq
0.000017     4485 canonically_linear_ordered_add_monoid.decidable_lt
0.000017     4486 nnreal.linear_ordered_semiring._proof_5
0.000016     4487 nnreal.linear_ordered_semiring
0.000017     4488 ennreal.canonically_ordered_comm_semiring
0.000017     4489 set.nonempty
0.000017     4490 set_of
0.000016     4491 upper_bounds
0.000017     4492 bdd_above
0.000017     4493 lower_bounds
0.000016     4494 bdd_below
0.000017     4495 conditionally_complete_linear_order
0.000017     4496 conditionally_complete_linear_order.le
0.000016     4497 conditionally_complete_linear_order.lt
0.000017     4498 conditionally_complete_linear_order.le_refl
0.000017     4499 conditionally_complete_linear_order.le_trans
0.000017     4500 conditionally_complete_linear_order.lt_iff_le_not_le
0.000017     4501 conditionally_complete_linear_order.le_antisymm
0.000016     4502 conditionally_complete_linear_order.le_total
0.000017     4503 conditionally_complete_linear_order.decidable_le
0.000017     4504 conditionally_complete_linear_order.decidable_eq
0.000017     4505 conditionally_complete_linear_order.decidable_lt
0.000016     4506 conditionally_complete_linear_order.to_linear_order
0.000017     4507 complete_linear_order
0.000017     4508 conditionally_complete_lattice
0.000017     4509 conditionally_complete_lattice.sup
0.000017     4510 complete_lattice
0.000017     4511 complete_lattice.sup
0.000017     4512 complete_lattice.le
0.000016     4513 complete_lattice.lt
0.000018     4514 complete_lattice.le_refl
0.000016     4515 complete_lattice.le_trans
0.000017     4516 complete_lattice.lt_iff_le_not_le
0.000017     4517 complete_lattice.le_antisymm
0.000017     4518 complete_lattice.le_sup_left
0.000016     4519 complete_lattice.le_sup_right
0.000017     4520 complete_lattice.sup_le
0.000017     4521 complete_lattice.inf
0.000017     4522 complete_lattice.inf_le_left
0.000016     4523 complete_lattice.inf_le_right
0.000017     4524 complete_lattice.le_inf
0.000016     4525 complete_lattice.Sup
0.000017     4526 complete_lattice.Inf
0.000016     4527 complete_semilattice_Sup
0.000017     4528 complete_semilattice_Sup.le
0.000017     4529 complete_semilattice_Sup.lt
0.000016     4530 complete_semilattice_Sup.le_refl
0.000018     4531 complete_semilattice_Sup.le_trans
0.000017     4532 complete_semilattice_Sup.lt_iff_le_not_le
0.000017     4533 complete_semilattice_Sup.le_antisymm
0.000016     4534 complete_semilattice_Sup.to_partial_order
0.000017     4535 complete_lattice.le_Sup
0.171979     4536 complete_lattice.Sup_le
0.000070     4537 complete_lattice.to_complete_semilattice_Sup
0.000023     4538 has_Sup
0.000015     4539 has_Sup.Sup
0.000014     4540 complete_semilattice_Sup.Sup
0.000014     4541 complete_semilattice_Sup.to_has_Sup
0.000015     4542 complete_semilattice_Sup.le_Sup
0.000014     4543 le_Sup
0.000014     4544 conditionally_complete_lattice_of_complete_lattice._proof_1
0.000014     4545 complete_semilattice_Sup.Sup_le
0.000014     4546 Sup_le
0.000017     4547 conditionally_complete_lattice_of_complete_lattice._proof_2
0.000017     4548 complete_semilattice_Inf
0.000016     4549 complete_semilattice_Inf.le
0.000017     4550 complete_semilattice_Inf.lt
0.000016     4551 complete_semilattice_Inf.le_refl
0.000014     4552 complete_semilattice_Inf.le_trans
0.000022     4553 complete_semilattice_Inf.lt_iff_le_not_le
0.000017     4554 complete_semilattice_Inf.le_antisymm
0.000015     4555 complete_semilattice_Inf.to_partial_order
0.000015     4556 complete_lattice.Inf_le
0.000014     4557 complete_lattice.le_Inf
0.000019     4558 complete_lattice.to_complete_semilattice_Inf
0.000017     4559 has_Inf
0.000016     4560 has_Inf.Inf
0.000015     4561 complete_semilattice_Inf.Inf
0.000014     4562 complete_semilattice_Inf.to_has_Inf
0.000016     4563 complete_semilattice_Inf.Inf_le
0.000015     4564 Inf_le
0.000017     4565 conditionally_complete_lattice_of_complete_lattice._proof_3
0.000017     4566 complete_semilattice_Inf.le_Inf
0.000015     4567 le_Inf
0.000014     4568 conditionally_complete_lattice_of_complete_lattice._proof_4
0.000017     4569 conditionally_complete_lattice_of_complete_lattice
0.000014     4570 complete_linear_order.sup
0.000016     4571 complete_linear_order.le
0.000018     4572 complete_linear_order.lt
0.000016     4573 complete_linear_order.le_refl
0.000017     4574 complete_linear_order.le_trans
0.000016     4575 complete_linear_order.lt_iff_le_not_le
0.000017     4576 complete_linear_order.le_antisymm
0.000016     4577 complete_linear_order.le_sup_left
0.000017     4578 complete_linear_order.le_sup_right
0.000016     4579 complete_linear_order.sup_le
0.000016     4580 complete_linear_order.inf
0.000017     4581 complete_linear_order.inf_le_left
0.000017     4582 complete_linear_order.inf_le_right
0.000016     4583 complete_linear_order.le_inf
0.000016     4584 complete_linear_order.top
0.000017     4585 complete_linear_order.le_top
0.000016     4586 complete_linear_order.bot
0.000017     4587 complete_linear_order.bot_le
0.000016     4588 complete_linear_order.Sup
0.000016     4589 complete_linear_order.le_Sup
0.000017     4590 complete_linear_order.Sup_le
0.000016     4591 complete_linear_order.Inf
0.000017     4592 complete_linear_order.Inf_le
0.000016     4593 complete_linear_order.le_Inf
0.000017     4594 complete_linear_order.to_complete_lattice
0.000016     4595 conditionally_complete_lattice.le
0.000016     4596 conditionally_complete_lattice.lt
0.000017     4597 conditionally_complete_lattice.le_refl
0.000017     4598 conditionally_complete_linear_order_of_complete_linear_order._proof_1
0.000016     4599 conditionally_complete_lattice.le_trans
0.000016     4600 conditionally_complete_linear_order_of_complete_linear_order._proof_2
0.000017     4601 conditionally_complete_lattice.lt_iff_le_not_le
0.000016     4602 conditionally_complete_linear_order_of_complete_linear_order._proof_3
0.000016     4603 conditionally_complete_lattice.le_antisymm
0.000017     4604 conditionally_complete_linear_order_of_complete_linear_order._proof_4
0.000016     4605 conditionally_complete_lattice.le_sup_left
0.000016     4606 conditionally_complete_linear_order_of_complete_linear_order._proof_5
0.000017     4607 conditionally_complete_lattice.le_sup_right
0.000016     4608 conditionally_complete_linear_order_of_complete_linear_order._proof_6
0.000017     4609 conditionally_complete_lattice.sup_le
0.000016     4610 conditionally_complete_linear_order_of_complete_linear_order._proof_7
0.000016     4611 conditionally_complete_lattice.inf
0.000016     4612 conditionally_complete_lattice.inf_le_left
0.000017     4613 conditionally_complete_linear_order_of_complete_linear_order._proof_8
0.000016     4614 conditionally_complete_lattice.inf_le_right
0.000016     4615 conditionally_complete_linear_order_of_complete_linear_order._proof_9
0.000015     4616 conditionally_complete_lattice.le_inf
0.000016     4617 conditionally_complete_linear_order_of_complete_linear_order._proof_10
0.000017     4618 conditionally_complete_lattice.Sup
0.000016     4619 conditionally_complete_lattice.Inf
0.000017     4620 conditionally_complete_lattice.le_cSup
0.000016     4621 conditionally_complete_linear_order_of_complete_linear_order._proof_11
0.000017     4622 conditionally_complete_lattice.cSup_le
0.235530     4623 conditionally_complete_linear_order_of_complete_linear_order._proof_12
0.000086     4624 conditionally_complete_lattice.cInf_le
0.000021     4625 conditionally_complete_linear_order_of_complete_linear_order._proof_13
0.000015     4626 conditionally_complete_lattice.le_cInf
0.000014     4627 conditionally_complete_linear_order_of_complete_linear_order._proof_14
0.000015     4628 complete_linear_order.le_total
0.000014     4629 complete_linear_order.decidable_le
0.000014     4630 complete_linear_order.decidable_eq
0.000015     4631 complete_linear_order.decidable_lt
0.000014     4632 conditionally_complete_linear_order_of_complete_linear_order
0.000016     4633 set.has_emptyc
0.000017     4634 conditionally_complete_linear_order_bot
0.000017     4635 semilattice_sup_top
0.000017     4636 semilattice_sup_top.sup
0.000014     4637 with_top.semilattice_sup._proof_1
0.000015     4638 with_top.semilattice_sup._proof_2
0.000016     4639 with_top.semilattice_sup._proof_3
0.000015     4640 with_top.semilattice_sup._proof_4
0.000018     4641 with_top.semilattice_sup._proof_5
0.000016     4642 option.bind_eq_some'
0.000015     4643 option.map_none'
0.000014     4644 option.map_some'
0.000017     4645 option.map_eq_some'
0.000014     4646 with_top.semilattice_sup._proof_6
0.000017     4647 with_top.semilattice_sup._proof_7
0.000017     4648 with_top.semilattice_sup._proof_8
0.000014     4649 with_top.semilattice_sup
0.000014     4650 semilattice_sup_top.le
0.000017     4651 semilattice_sup_top.lt
0.000015     4652 semilattice_sup_top.le_refl
0.000017     4653 with_top.lattice._proof_1
0.000017     4654 semilattice_sup_top.le_trans
0.000014     4655 with_top.lattice._proof_2
0.000015     4656 semilattice_sup_top.lt_iff_le_not_le
0.000014     4657 with_top.lattice._proof_3
0.000014     4658 semilattice_sup_top.le_antisymm
0.000015     4659 with_top.lattice._proof_4
0.000016     4660 semilattice_sup_top.le_sup_left
0.000014     4661 with_top.lattice._proof_5
0.000016     4662 semilattice_sup_top.le_sup_right
0.000018     4663 with_top.lattice._proof_6
0.000016     4664 semilattice_sup_top.sup_le
0.000017     4665 with_top.lattice._proof_7
0.000018     4666 semilattice_inf_top
0.000016     4667 semilattice_inf_top.inf
0.000017     4668 with_top.semilattice_inf._proof_1
0.000016     4669 with_top.semilattice_inf._proof_2
0.000017     4670 with_top.semilattice_inf._proof_3
0.000017     4671 with_top.semilattice_inf._proof_4
0.000016     4672 with_top.semilattice_inf._proof_5
0.000017     4673 option.lift_or_get._main
0.000016     4674 option.lift_or_get
0.000017     4675 option.lift_or_get._main.equations._eqn_3
0.000016     4676 option.lift_or_get.equations._eqn_3
0.000017     4677 option.lift_or_get._main.equations._eqn_4
0.000017     4678 option.lift_or_get.equations._eqn_4
0.000016     4679 with_top.semilattice_inf._proof_6
0.000016     4680 option.lift_or_get._main.equations._eqn_2
0.000017     4681 option.lift_or_get.equations._eqn_2
0.000017     4682 with_top.semilattice_inf._proof_7
0.000016     4683 with_top.has_le
0.000017     4684 with_top.some_le_some
0.000016     4685 with_top.semilattice_inf._proof_8
0.000017     4686 with_top.semilattice_inf
0.000016     4687 semilattice_inf_top.le
0.000017     4688 semilattice_inf_top.lt
0.000016     4689 semilattice_inf_top.le_refl
0.000016     4690 semilattice_inf_top.le_trans
0.000016     4691 semilattice_inf_top.lt_iff_le_not_le
0.000017     4692 semilattice_inf_top.le_antisymm
0.000017     4693 semilattice_inf_top.inf_le_left
0.000016     4694 with_top.lattice._proof_8
0.000014     4695 semilattice_inf_top.inf_le_right
0.000015     4696 with_top.lattice._proof_9
0.000016     4697 semilattice_inf_top.le_inf
0.000016     4698 with_top.lattice._proof_10
0.000017     4699 with_top.lattice
0.000016     4700 conditionally_complete_lattice.to_lattice
0.000016     4701 conditionally_complete_linear_order.sup
0.000017     4702 conditionally_complete_linear_order.le_sup_left
0.000016     4703 conditionally_complete_linear_order.le_sup_right
0.000017     4704 conditionally_complete_linear_order.sup_le
0.000016     4705 conditionally_complete_linear_order.inf
0.000017     4706 conditionally_complete_linear_order.inf_le_left
0.000016     4707 conditionally_complete_linear_order.inf_le_right
0.000016     4708 conditionally_complete_linear_order.le_inf
0.000017     4709 conditionally_complete_linear_order.Sup
0.000016     4710 conditionally_complete_linear_order.Inf
0.000016     4711 conditionally_complete_linear_order.le_cSup
0.000017     4712 conditionally_complete_linear_order.cSup_le
0.000016     4713 conditionally_complete_linear_order.cInf_le
0.000017     4714 conditionally_complete_linear_order.le_cInf
0.000016     4715 conditionally_complete_linear_order.to_conditionally_complete_lattice
0.000016     4716 conditionally_complete_linear_order_bot.sup
0.000017     4717 conditionally_complete_linear_order_bot.le
0.000017     4718 conditionally_complete_linear_order_bot.lt
0.159334     4719 conditionally_complete_linear_order_bot.le_refl
0.000069     4720 conditionally_complete_linear_order_bot.le_trans
0.000025     4721 conditionally_complete_linear_order_bot.lt_iff_le_not_le
0.000015     4722 conditionally_complete_linear_order_bot.le_antisymm
0.000014     4723 conditionally_complete_linear_order_bot.le_sup_left
0.000020     4724 conditionally_complete_linear_order_bot.le_sup_right
0.000019     4725 conditionally_complete_linear_order_bot.sup_le
0.000015     4726 conditionally_complete_linear_order_bot.inf
0.000014     4727 conditionally_complete_linear_order_bot.inf_le_left
0.000018     4728 conditionally_complete_linear_order_bot.inf_le_right
0.000017     4729 conditionally_complete_linear_order_bot.le_inf
0.000016     4730 conditionally_complete_linear_order_bot.Sup
0.000017     4731 conditionally_complete_linear_order_bot.Inf
0.000015     4732 conditionally_complete_linear_order_bot.le_cSup
0.000014     4733 conditionally_complete_linear_order_bot.cSup_le
0.000018     4734 conditionally_complete_linear_order_bot.cInf_le
0.000019     4735 conditionally_complete_linear_order_bot.le_cInf
0.000014     4736 conditionally_complete_linear_order_bot.le_total
0.000018     4737 conditionally_complete_linear_order_bot.decidable_le
0.000017     4738 conditionally_complete_linear_order_bot.decidable_eq
0.000016     4739 conditionally_complete_linear_order_bot.decidable_lt
0.000015     4740 conditionally_complete_linear_order_bot.to_conditionally_complete_linear_order
0.000014     4741 with_top.linear_order._proof_1
0.000016     4742 with_top.linear_order._proof_2
0.000018     4743 with_top.linear_order._proof_3
0.000016     4744 with_top.linear_order._proof_4
0.000017     4745 with_top.linear_order._proof_5
0.000015     4746 with_bot
0.000014     4747 with_bot.has_lt
0.000017     4748 with_bot.preorder._proof_1
0.000015     4749 with_bot.preorder._match_1
0.000016     4750 with_bot.preorder._match_2
0.000017     4751 with_bot.preorder._proof_2
0.000017     4752 with_bot.some_lt_some
0.000016     4753 with_bot.preorder._proof_3
0.000016     4754 with_bot.preorder
0.000016     4755 with_bot.has_coe_t
0.000017     4756 with_bot.coe_le_coe
0.000016     4757 with_bot.some_le_some
0.000016     4758 with_bot.decidable_le._main
0.000017     4759 with_bot.decidable_le
0.000016     4760 with_top.decidable_le
0.000016     4761 with_top.linear_order._proof_6
0.000016     4762 with_top.linear_order._proof_7
0.000016     4763 with_top.linear_order._proof_8
0.000016     4764 with_top.linear_order._proof_9
0.000016     4765 with_bot.decidable_lt._main
0.000017     4766 with_bot.decidable_lt
0.000016     4767 with_top.decidable_lt
0.000014     4768 with_top.linear_order
0.000014     4769 with_top.complete_linear_order._proof_1
0.000016     4770 with_top.complete_linear_order._proof_2
0.000018     4771 with_top.complete_linear_order._proof_3
0.000025     4772 with_top.complete_linear_order._proof_4
0.000018     4773 with_top.complete_linear_order._proof_5
0.000017     4774 with_top.complete_linear_order._proof_6
0.000016     4775 with_top.complete_linear_order._proof_7
0.000017     4776 with_top.complete_linear_order._proof_8
0.000016     4777 with_top.complete_linear_order._proof_9
0.000016     4778 with_top.complete_linear_order._proof_10
0.000017     4779 conditionally_complete_linear_order_bot.bot
0.000016     4780 conditionally_complete_linear_order_bot.bot_le
0.000016     4781 conditionally_complete_linear_order_bot.to_order_bot
0.000016     4782 with_top.complete_linear_order._proof_11
0.000016     4783 with_top.complete_linear_order._proof_12
0.000016     4784 set.decidable_mem
0.000017     4785 set.preimage
0.000016     4786 with_top.has_Sup
0.000016     4787 conditionally_complete_lattice.to_has_Sup
0.000017     4788 is_least
0.000016     4789 is_lub
0.000016     4790 decidable.not_iff_comm
0.000016     4791 not_iff_comm
0.000017     4792 set.nonempty.equations._eqn_1
0.000016     4793 set.subset
0.000016     4794 set.has_subset
0.000016     4795 eq.subset
0.000017     4796 set.ext
0.000016     4797 set.subset.antisymm
0.000016     4798 set.subset.antisymm_iff
0.000017     4799 set.empty_subset
0.000016     4800 set.subset_empty_iff
0.000016     4801 set.eq_empty_iff_forall_not_mem
0.000016     4802 set.not_nonempty_iff_eq_empty
0.000017     4803 set.ne_empty_iff_nonempty
0.000016     4804 set.eq_empty_or_nonempty
0.000017     4805 set.preimage_empty
0.000016     4806 conditionally_complete_linear_order_bot.cSup_empty
0.000016     4807 cSup_empty
0.000016     4808 is_greatest
0.000017     4809 is_glb
0.000017     4810 is_glb.equations._eqn_1
0.000016     4811 upper_bounds.equations._eqn_1
0.000016     4812 set.ball_empty_iff
0.000017     4813 set.subset_univ
0.000016     4814 set.univ_subset_iff
0.000016     4815 imp_iff_right
0.000016     4816 set.eq_univ_iff_forall
0.000016     4817 set.mem_set_of_eq
0.000017     4818 upper_bounds_empty
0.000016     4819 lower_bounds_empty
0.000016     4820 is_greatest.equations._eqn_1
0.267665     4821 set.mem_univ
0.000092     4822 set.has_singleton
0.000024     4823 set.mem_singleton_iff
0.000014     4824 order_top.upper_bounds_univ
0.000015     4825 set.mem_singleton
0.000013     4826 is_greatest_univ
0.000015     4827 is_glb_empty
0.000014     4828 order_dual.has_top
0.000014     4829 order_dual.order_top._proof_1
0.000014     4830 order_dual.order_top._proof_2
0.000019     4831 order_dual.order_top._proof_3
0.000017     4832 order_dual.order_top._proof_4
0.000016     4833 order_dual.order_top
0.000016     4834 is_lub_empty
0.000015     4835 le_cSup
0.000014     4836 with_top.not_top_le_coe
0.000017     4837 cSup_le
0.000018     4838 with_top.is_lub_Sup'
0.000016     4839 with_top.is_lub_Sup
0.000017     4840 with_top.complete_linear_order._proof_13
0.000016     4841 with_top.complete_linear_order._proof_14
0.000015     4842 with_top.has_Inf
0.000014     4843 conditionally_complete_lattice.to_has_Inf
0.000016     4844 cInf_le
0.000015     4845 le_cInf
0.000015     4846 push_neg.not_not_eq
0.000017     4847 with_top.is_glb_Inf'
0.000017     4848 with_top.is_glb_Inf
0.000016     4849 with_top.complete_linear_order._proof_15
0.000017     4850 with_top.complete_linear_order._proof_16
0.000016     4851 with_top.complete_linear_order._proof_17
0.000016     4852 classical.dec_rel
0.000015     4853 with_top.complete_linear_order._proof_18
0.000014     4854 with_top.complete_linear_order._proof_19
0.000015     4855 with_top.complete_linear_order._proof_20
0.000014     4856 with_top.complete_linear_order._proof_21
0.000016     4857 with_top.complete_linear_order
0.000017     4858 nnreal.conditionally_complete_linear_order_bot._proof_1
0.000016     4859 nnreal.conditionally_complete_linear_order_bot._proof_2
0.000016     4860 nnreal.conditionally_complete_linear_order_bot._proof_3
0.000015     4861 nnreal.conditionally_complete_linear_order_bot._proof_4
0.000014     4862 nnreal.conditionally_complete_linear_order_bot._proof_5
0.000016     4863 nnreal.conditionally_complete_linear_order_bot._proof_6
0.000016     4864 int.cast._main
0.000017     4865 int.cast
0.000016     4866 int.cast_coe
0.000017     4867 le_neg
0.000016     4868 _private.3897234211.lbp
0.000016     4869 _private.651630769.wf_lbp._match_1
0.000017     4870 nat.add_right_comm
0.000016     4871 _private.651630769.wf_lbp._match_2
0.000017     4872 _private.651630769.wf_lbp._match_3
0.000016     4873 _private.651630769.wf_lbp
0.000017     4874 nat.find_x._proof_1
0.000016     4875 nat.find_x._proof_2
0.000016     4876 nat.find_x._proof_3
0.000017     4877 nat.find_x._proof_4
0.000016     4878 nat.find_x._proof_5
0.000017     4879 nat.find_x
0.000016     4880 nat.find
0.000016     4881 nat.find_spec
0.000027     4882 nat.find_min
0.000015     4883 nat.find_min'
0.000014     4884 int.exists_least_of_bdd
0.000017     4885 int.exists_greatest_of_bdd
0.000017     4886 real.linear_ordered_ring
0.000015     4887 nsmul
0.000017     4888 archimedean
0.000016     4889 coe_trans
0.000016     4890 coe_coe
0.000016     4891 add_monoid_hom.congr_fun
0.000016     4892 nat.cast_zero
0.000017     4893 nat.cast_add_monoid_hom._proof_1
0.000016     4894 nat.cast_add
0.000016     4895 nat.cast_add_monoid_hom
0.000016     4896 add_monoid_hom.cases_on
0.000016     4897 add_monoid_hom.coe_inj
0.000016     4898 add_monoid_hom.ext
0.000016     4899 add_monoid_hom.map_zero'
0.000017     4900 add_monoid_hom.map_zero
0.000016     4901 nat.succ_eq_add_one
0.000016     4902 add_monoid_hom.map_add'
0.000016     4903 add_monoid_hom.map_add
0.000016     4904 add_monoid_hom.ext_nat
0.000016     4905 nat.cast_one
0.000016     4906 add_monoid_hom.eq_nat_cast
0.000017     4907 zero_nsmul
0.000016     4908 pow_zero
0.000016     4909 semiconj_by
0.000016     4910 commute
0.000016     4911 commute.symm
0.000016     4912 semiconj_by.equations._eqn_1
0.000016     4913 semiconj_by.one_right
0.000017     4914 semiconj_by.eq
0.000016     4915 semiconj_by.mul_right
0.000016     4916 semiconj_by.pow_right
0.000016     4917 commute.pow_right
0.000016     4918 commute.pow_left
0.000016     4919 commute.refl
0.000016     4920 commute.pow_self
0.000016     4921 pow_mul_comm'
0.000016     4922 pow_succ'
0.000017     4923 pow_add
0.000016     4924 add_nsmul
0.000016     4925 one_nsmul
0.000016     4926 nsmul_one
0.000016     4927 strict_mono.lt_iff_lt
0.000016     4928 nat.cast_lt
0.000017     4929 archimedean.arch
0.000016     4930 exists_nat_gt
0.000016     4931 exists_int_gt
0.000016     4932 rat.cast_coe
0.000016     4933 nat.cast_succ
0.000016     4934 int.add_neg_one
0.000016     4935 int.neg_succ_sub_one
0.000017     4936 rat.coe_int_eq_mk
0.000016     4937 rat.of_int_eq_mk
0.000016     4938 rat.coe_int_eq_of_int
0.000016     4939 inv_one
0.000016     4940 div_one
0.000016     4941 rat.cast_of_int
0.000016     4942 rat.cast_coe_int
0.000016     4943 rat.cast_coe_nat
0.000016     4944 exists_rat_gt
0.000017     4945 succ_nsmul'
0.000016     4946 nsmul_eq_mul'
0.000016     4947 commute.eq
0.000016     4948 semiconj_by.zero_left
0.000016     4949 commute.zero_left
0.000016     4950 semiconj_by.add_left
0.000016     4951 commute.add_left
0.000016     4952 semiconj_by.one_left
0.000017     4953 commute.one_left
0.000016     4954 nat.cast_commute
0.000016     4955 nsmul_eq_mul
1.053412     4956 archimedean_iff_nat_lt
0.000094     4957 floor_ring
0.000024     4958 int.to_nat._main
0.000015     4959 int.to_nat
0.000014     4960 floor_ring.floor
0.000014     4961 floor
0.000014     4962 ceil
0.000014     4963 nat_ceil
0.000015     4964 rat.floor._main
0.000014     4965 rat.floor
0.000016     4966 rat.floor._main.equations._eqn_1
0.000017     4967 rat.floor.equations._eqn_1
0.000015     4968 rat.le_def
0.000014     4969 le_of_sub_nonneg
0.000016     4970 int.div_mul_le
0.000017     4971 int.mul_le_of_le_div
0.000014     4972 int.neg_add_cancel_left
0.000014     4973 int.le_of_add_le_add_left
0.000016     4974 int.le_of_add_le_add_right
0.000015     4975 int.le_of_lt_add_one
0.000017     4976 lt_of_mul_lt_mul_right
0.000017     4977 neg_add_lt_iff_lt_add
0.000017     4978 sub_lt_iff_lt_add'
0.000016     4979 int.lt_div_add_one_mul_self
0.000017     4980 int.le_div_of_mul_le
0.000017     4981 int.le_div_iff_mul_le
0.000016     4982 rat.le_floor
0.000014     4983 rat.floor_ring
0.000014     4984 eq_div_iff_mul_eq
0.000016     4985 rat.denom_dvd
0.000015     4986 nat.cast_mul
0.000016     4987 int.cast_neg_of_nat
0.000017     4988 nat.cast_add_one
0.000016     4989 int.cast_mul
0.000016     4990 nat.commute_cast
0.000016     4991 int.cast_coe_nat
0.000017     4992 int.cast_zero
0.000016     4993 rat.cast_mk_of_ne_zero
0.000016     4994 nat.cast_sub
0.000016     4995 sub_left_inj
0.000016     4996 int.cast_neg_succ_of_nat
0.000017     4997 int.cast_sub_nat_nat
0.000016     4998 sub_eq_of_eq_add
0.000017     4999 nat.add_semigroup
0.000016     5000 int.cast_add
0.000016     5001 add_right_injective
0.000017     5002 add_right_inj
0.000016     5003 rat.cast_add_of_ne_zero
0.000023     5004 int.cast_neg
0.000023     5005 rat.cast_neg
0.000018     5006 rat.cast_sub_of_ne_zero
0.000017     5007 nat.cast_inj
0.000016     5008 nat.cast_eq_zero
0.000017     5009 nat.cast_ne_zero
0.000017     5010 rat.cast_sub
0.000016     5011 rat.mk_eq_div
0.000017     5012 ring_hom.map_mul'
0.000016     5013 ring_hom.to_monoid_with_zero_hom
0.000017     5014 ring_hom.map_div
0.000016     5015 int.cast_one
0.000016     5016 rat.cast_one
0.000017     5017 semiconj_by.zero_right
0.000016     5018 units.inv_mul_cancel_left
0.000025     5019 units.mul_inv_cancel_right
0.000020     5020 semiconj_by.units_inv_right
0.000018     5021 semiconj_by.inv_right'
0.000017     5022 semiconj_by.inv_right_iff'
0.000016     5023 commute.inv_right_iff'
0.000017     5024 commute.inv_right'
0.000017     5025 rat.cast_mul_of_ne_zero
0.000017     5026 rat.cast_mul
0.000017     5027 rat.cast_zero
0.000017     5028 rat.cast_add
0.000016     5029 rat.cast_hom
0.000017     5030 rat.cast_div
0.000017     5031 rat.cast_mk
0.000020     5032 int.cast_sub
0.000023     5033 nat.cast_nonneg
0.000017     5034 int.cast_nonneg
0.000028     5035 int.cast_le
0.000019     5036 rat.cast_nonneg
0.000017     5037 rat.ordered_add_comm_group
0.000017     5038 rat.cast_le
0.000018     5039 nat_ceil.equations._eqn_1
0.000017     5040 int.to_nat_eq_max
0.000016     5041 int.to_nat_le
0.000017     5042 ceil.equations._eqn_1
0.000017     5043 floor_ring.le_floor
0.000016     5044 le_floor
0.000017     5045 ceil_le
0.000017     5046 nat_ceil_le
0.000017     5047 le_nat_ceil
0.000017     5048 archimedean_iff_rat_lt
0.000016     5049 rat.cast_lt
0.000017     5050 archimedean_iff_rat_le
0.000017     5051 real.division_ring
0.000017     5052 real.mk_neg
0.000016     5053 ring_hom.map_add'
0.000017     5054 ring_hom.to_add_monoid_hom
0.000017     5055 ring_hom.eq_nat_cast
0.000017     5056 ring_hom.comp._proof_1
0.000016     5057 ring_hom.map_mul
0.000017     5058 ring_hom.comp._proof_2
0.000017     5059 ring_hom.comp._proof_3
0.000017     5060 ring_hom.map_add
0.000017     5061 ring_hom.comp._proof_4
0.000016     5062 ring_hom.comp
0.000017     5063 nat.cast_ring_hom._proof_1
0.000017     5064 nat.cast_ring_hom._proof_2
0.000016     5065 nat.cast_ring_hom._proof_3
0.000017     5066 nat.cast_ring_hom
0.000017     5067 ring_hom.map_nat_cast
0.000016     5068 int.cast_add_hom._proof_1
0.000017     5069 int.cast_add_hom
0.000017     5070 add_monoid_hom.ext_iff
0.000016     5071 add_monoid_hom.comp._proof_1
0.000017     5072 has_zero.nonempty
0.000016     5073 add_monoid_hom.comp._proof_2
0.000017     5074 add_monoid_hom.comp
0.000016     5075 ring_hom.has_coe_add_monoid_hom
0.000017     5076 int.of_nat_hom._proof_1
0.000016     5077 int.of_nat_mul
0.000017     5078 int.of_nat_hom._proof_2
0.000017     5079 int.of_nat_add
0.000016     5080 int.of_nat_hom
0.000017     5081 add_monoid_hom.map_add_eq_zero
0.000017     5082 add_neg_self
0.000015     5083 add_monoid_hom.eq_on_neg
0.000016     5084 add_monoid_hom.ext_int
0.000016     5085 int.coe_cast_add_hom
0.000017     5086 add_monoid_hom.eq_int_cast_hom
0.000017     5087 add_monoid_hom.eq_int_cast
0.000016     5088 ring_hom.eq_int_cast
0.000017     5089 int.cast_ring_hom._proof_1
0.000017     5090 int.cast_ring_hom._proof_2
0.000017     5091 int.cast_ring_hom._proof_3
0.000016     5092 int.cast_ring_hom
0.000017     5093 ring_hom.map_int_cast
0.000016     5094 ring_hom.eq_rat_cast
0.000017     5095 real.of_rat_eq_cast
0.000016     5096 rat.ordered_cancel_add_comm_monoid
0.000017     5097 rat.ordered_add_comm_monoid
0.000017     5098 real.le_mk_of_forall_le
0.000016     5099 real.mk_le_of_forall_le
0.981620     5100 real.archimedean._match_1
0.000091     5101 real.archimedean
0.000021     5102 exists_int_lt
0.000014     5103 exists_floor
0.000015     5104 archimedean.floor_ring._proof_1
0.000014     5105 archimedean.floor_ring
0.000014     5106 real.floor_ring
0.000014     5107 floor_le
0.000014     5108 real.linear_ordered_semiring
0.000015     5109 nat.cast_pos
0.000014     5110 strict_mono.le_iff_le
0.000017     5111 nat.cast_le
0.000017     5112 ring_hom.map_inv
0.000017     5113 rat.cast_inv
0.000016     5114 sub_lt_iff_lt_add
0.000017     5115 int.succ
0.000014     5116 int.succ.equations._eqn_1
0.000014     5117 floor_lt
0.000017     5118 int.lt_succ_self
0.000019     5119 lt_succ_floor
0.000017     5120 lt_floor_add_one
0.000016     5121 sub_one_lt_floor
0.000014     5122 one_div
0.000015     5123 div_eq_inv_mul
0.000016     5124 inv_le_inv
0.000018     5125 inv_le
0.000016     5126 densely_ordered
0.000015     5127 densely_ordered.dense
0.000016     5128 exists_between
0.000016     5129 le_of_forall_ge_of_dense
0.000017     5130 mul_two
0.000016     5131 add_self_div_two
0.000017     5132 div_lt_div_of_lt
0.000016     5133 linear_ordered_field.to_densely_ordered
0.000016     5134 le_sub
0.000017     5135 real.exists_sup
0.000016     5136 real.has_Sup._proof_1
0.000017     5137 real.has_Sup
0.000016     5138 set.image
0.000016     5139 set.mem_image
0.000017     5140 set.mem_empty_eq
0.000017     5141 set.image_empty
0.000016     5142 exists_const
0.000017     5143 real.Sup_empty
0.000016     5144 le_cSup_of_le
0.000017     5145 real.lattice
0.000017     5146 real.has_Inf
0.000016     5147 real.Sup_def
0.000017     5148 real.Sup_le
0.000017     5149 real.le_Sup
0.000017     5150 real.conditionally_complete_linear_order._proof_1
0.000016     5151 real.Sup_le_ub
0.000017     5152 real.conditionally_complete_linear_order._proof_2
0.000017     5153 real.le_Inf
0.000016     5154 real.Inf_le
0.000017     5155 real.conditionally_complete_linear_order._proof_3
0.000017     5156 real.lb_le_Inf
0.000016     5157 real.conditionally_complete_linear_order._proof_4
0.000017     5158 real.conditionally_complete_linear_order
0.000016     5159 nnreal.of_real._proof_1
0.000017     5160 nnreal.of_real
0.000016     5161 le_max_left_of_le
0.000017     5162 set.mem_image_of_mem
0.000017     5163 nnreal.bdd_above_coe
0.000016     5164 real.Sup_of_not_bdd_above
0.000016     5165 nnreal.has_Sup._proof_1
0.000017     5166 nnreal.has_Sup
0.000017     5167 real.Inf_def
0.000016     5168 set.set_of_false
0.000017     5169 real.Inf_empty
0.000016     5170 set.nonempty.image
0.000017     5171 nnreal.has_Inf._match_1
0.000017     5172 nnreal.has_Inf._proof_1
0.000016     5173 nnreal.has_Inf
0.000016     5174 nnreal.conditionally_complete_linear_order_bot._proof_7
0.000026     5175 set.nonempty.of_image
0.000023     5176 set.nonempty_image_iff
0.000015     5177 nnreal.conditionally_complete_linear_order_bot._match_1
0.000014     5178 nnreal.conditionally_complete_linear_order_bot._proof_8
0.000018     5179 nnreal.bdd_below_coe
0.000016     5180 nnreal.conditionally_complete_linear_order_bot._proof_9
0.000016     5181 nnreal.conditionally_complete_linear_order_bot._match_2
0.000017     5182 nnreal.conditionally_complete_linear_order_bot._proof_10
0.000016     5183 nnreal.coe_Sup
0.000017     5184 bot_eq_zero
0.000015     5185 nnreal.coe_zero
0.000014     5186 nnreal.conditionally_complete_linear_order_bot._proof_11
0.000016     5187 nnreal.conditionally_complete_linear_order_bot
0.000017     5188 ennreal.complete_linear_order
0.000016     5189 set.inter
0.000017     5190 set.has_inter
0.000017     5191 set.sUnion
0.000016     5192 topological_space
0.000017     5193 filter
0.000016     5194 prod
0.000017     5195 filter.sets
0.000016     5196 filter.has_mem
0.000017     5197 set.subset.refl
0.000016     5198 filter.partial_order._proof_1
0.000016     5199 set.subset.trans
0.000017     5200 filter.partial_order._proof_2
0.000016     5201 filter.partial_order._proof_3
0.000017     5202 filter.cases_on
0.000016     5203 filter.filter_eq
0.000017     5204 filter.partial_order._proof_4
0.000016     5205 filter.partial_order
0.000016     5206 filter.principal._proof_1
0.000017     5207 set.subset_inter
0.000016     5208 filter.principal._proof_2
0.000017     5209 filter.principal
0.000016     5210 prod.fst
0.000016     5211 prod.snd
0.000017     5212 id_rel
0.000016     5213 filter.univ_sets
0.000017     5214 filter.univ_mem_sets
0.000016     5215 filter.sets_of_superset
0.000016     5216 filter.mem_sets_of_superset
0.000017     5217 set.preimage_mono
0.000016     5218 filter.map._proof_1
0.000017     5219 filter.inter_sets
0.000016     5220 filter.inter_mem_sets
0.000016     5221 filter.map._proof_2
0.000017     5222 filter.map
0.000016     5223 filter.tendsto
0.000016     5224 prod.swap
0.000017     5225 set.range
0.000016     5226 infi
0.000016     5227 complete_lattice.top
0.000017     5228 complete_lattice.bot
0.000016     5229 bounded_lattice
0.000016     5230 bounded_lattice.lt
0.000017     5231 bounded_lattice.le
0.000016     5232 bounded_lattice.top
0.000016     5233 bounded_lattice.bot
0.000016     5234 bounded_lattice.sup
0.000017     5235 bounded_lattice.inf
0.000016     5236 semilattice_sup.lt._default
0.000016     5237 lattice.lt._default
0.000017     5238 bounded_lattice.cases_on
0.295981     5239 bounded_lattice.copy._aux_1
0.000093     5240 bounded_lattice.copy._aux_2
0.000024     5241 bounded_lattice.copy._proof_1
0.000017     5242 bounded_lattice.copy._aux_3
0.000023     5243 bounded_lattice.copy._aux_4
0.000015     5244 bounded_lattice.copy._aux_5
0.000014     5245 bounded_lattice.copy._aux_6
0.000015     5246 bounded_lattice.copy._aux_7
0.000014     5247 bounded_lattice.copy._aux_8
0.000020     5248 bounded_lattice.copy._aux_9
0.000017     5249 bounded_lattice.copy._aux_10
0.000015     5250 bounded_lattice.copy._aux_11
0.000014     5251 bounded_lattice.copy
0.000018     5252 complete_lattice.le_top
0.000019     5253 complete_lattice.bot_le
0.000015     5254 complete_lattice.to_bounded_lattice
0.000016     5255 bounded_lattice.le_refl
0.000015     5256 complete_lattice.copy._proof_1
0.000014     5257 bounded_lattice.le_trans
0.000016     5258 complete_lattice.copy._proof_2
0.000018     5259 bounded_lattice.lt_iff_le_not_le
0.000015     5260 complete_lattice.copy._proof_3
0.000017     5261 bounded_lattice.le_antisymm
0.000017     5262 complete_lattice.copy._proof_4
0.000015     5263 bounded_lattice.le_sup_left
0.000014     5264 complete_lattice.copy._proof_5
0.000016     5265 bounded_lattice.le_sup_right
0.000018     5266 complete_lattice.copy._proof_6
0.000025     5267 bounded_lattice.sup_le
0.000015     5268 complete_lattice.copy._proof_7
0.000014     5269 bounded_lattice.inf_le_left
0.000015     5270 complete_lattice.copy._proof_8
0.000019     5271 bounded_lattice.inf_le_right
0.000018     5272 complete_lattice.copy._proof_9
0.000016     5273 bounded_lattice.le_inf
0.000015     5274 complete_lattice.copy._proof_10
0.000014     5275 bounded_lattice.le_top
0.000017     5276 complete_lattice.copy._proof_11
0.000014     5277 bounded_lattice.bot_le
0.000015     5278 complete_lattice.copy._proof_12
0.000014     5279 complete_lattice.cases_on
0.000015     5280 complete_lattice.copy._aux_1
0.000016     5281 complete_lattice.copy._aux_2
0.000017     5282 complete_lattice.copy._aux_3
0.000017     5283 complete_lattice.copy._aux_4
0.000015     5284 complete_lattice.copy
0.000014     5285 order_dual.lattice._proof_1
0.000016     5286 order_dual.lattice._proof_2
0.000017     5287 order_dual.lattice._proof_3
0.000017     5288 order_dual.lattice._proof_4
0.000016     5289 order_dual.lattice._proof_5
0.000016     5290 order_dual.lattice._proof_6
0.000017     5291 order_dual.lattice._proof_7
0.000017     5292 order_dual.has_inf
0.000016     5293 order_dual.semilattice_inf._proof_1
0.000016     5294 order_dual.semilattice_inf._proof_2
0.000017     5295 order_dual.semilattice_inf._proof_3
0.000016     5296 order_dual.semilattice_inf._proof_4
0.000020     5297 order_dual.semilattice_inf._proof_5
0.000024     5298 order_dual.semilattice_inf
0.000018     5299 order_dual.lattice._proof_8
0.000016     5300 order_dual.lattice._proof_9
0.000017     5301 order_dual.lattice._proof_10
0.000016     5302 order_dual.lattice
0.000016     5303 bounded_lattice.to_lattice
0.000016     5304 order_dual.bounded_lattice._proof_1
0.000016     5305 order_dual.bounded_lattice._proof_2
0.000016     5306 order_dual.bounded_lattice._proof_3
0.000017     5307 order_dual.bounded_lattice._proof_4
0.000016     5308 order_dual.bounded_lattice._proof_5
0.000016     5309 order_dual.bounded_lattice._proof_6
0.000017     5310 order_dual.bounded_lattice._proof_7
0.000016     5311 order_dual.bounded_lattice._proof_8
0.000016     5312 order_dual.bounded_lattice._proof_9
0.000016     5313 order_dual.bounded_lattice._proof_10
0.000016     5314 bounded_lattice.to_order_bot
0.000017     5315 order_dual.bounded_lattice._proof_11
0.000016     5316 order_dual.has_bot
0.000016     5317 order_dual.order_bot._proof_1
0.000016     5318 order_dual.order_bot._proof_2
0.000017     5319 order_dual.order_bot._proof_3
0.000016     5320 order_dual.order_bot._proof_4
0.000016     5321 order_dual.order_bot
0.000016     5322 bounded_lattice.to_order_top
0.000017     5323 order_dual.bounded_lattice._proof_12
0.000016     5324 order_dual.bounded_lattice
0.000016     5325 order_dual.complete_lattice._proof_1
0.000016     5326 order_dual.complete_lattice._proof_2
0.000016     5327 order_dual.complete_lattice._proof_3
0.000016     5328 order_dual.complete_lattice._proof_4
0.000016     5329 order_dual.complete_lattice._proof_5
0.000016     5330 order_dual.complete_lattice._proof_6
0.000016     5331 order_dual.complete_lattice._proof_7
0.000016     5332 order_dual.complete_lattice._proof_8
0.000016     5333 order_dual.complete_lattice._proof_9
0.000017     5334 order_dual.complete_lattice._proof_10
0.000016     5335 order_dual.complete_lattice._proof_11
0.000016     5336 order_dual.complete_lattice._proof_12
0.000016     5337 order_dual.has_Sup
0.000016     5338 order_dual.has_Inf
0.000016     5339 order_dual.complete_lattice
0.000016     5340 galois_connection
0.000016     5341 galois_insertion
0.000016     5342 galois_insertion.le_l_u
0.000017     5343 monotone
0.000016     5344 galois_connection.l_le
0.252183     5345 galois_connection.le_u
0.000078     5346 galois_connection.le_u_l
0.000024     5347 galois_connection.monotone_l
0.000015     5348 galois_insertion.gc
0.000015     5349 galois_insertion.lift_semilattice_sup._proof_1
0.000014     5350 galois_insertion.lift_semilattice_sup._proof_2
0.000014     5351 galois_connection.l_u_le
0.000014     5352 galois_connection.monotone_u
0.000015     5353 galois_insertion.lift_semilattice_sup._proof_3
0.000014     5354 galois_insertion.lift_semilattice_sup
0.000018     5355 galois_insertion.lift_lattice._proof_1
0.000018     5356 galois_insertion.lift_lattice._proof_2
0.000017     5357 galois_insertion.lift_lattice._proof_3
0.000016     5358 galois_insertion.lift_lattice._proof_4
0.000017     5359 galois_insertion.lift_lattice._proof_5
0.000015     5360 galois_insertion.lift_lattice._proof_6
0.000014     5361 galois_insertion.lift_lattice._proof_7
0.000018     5362 galois_insertion.choice
0.000018     5363 galois_insertion.lift_semilattice_inf._proof_1
0.000017     5364 galois_insertion.choice_eq
0.000014     5365 galois_insertion.lift_semilattice_inf._proof_2
0.000017     5366 galois_insertion.lift_semilattice_inf._proof_3
0.000014     5367 galois_insertion.lift_semilattice_inf._proof_4
0.000015     5368 galois_insertion.lift_semilattice_inf
0.000017     5369 galois_insertion.lift_lattice._proof_8
0.000018     5370 galois_insertion.lift_lattice._proof_9
0.000016     5371 galois_insertion.lift_lattice._proof_10
0.000017     5372 galois_insertion.lift_lattice
0.000016     5373 galois_insertion.lift_bounded_lattice._proof_1
0.000017     5374 galois_insertion.lift_bounded_lattice._proof_2
0.000017     5375 galois_insertion.lift_bounded_lattice._proof_3
0.000016     5376 galois_insertion.lift_bounded_lattice._proof_4
0.000017     5377 galois_insertion.lift_bounded_lattice._proof_5
0.000016     5378 galois_insertion.lift_bounded_lattice._proof_6
0.000017     5379 galois_insertion.lift_bounded_lattice._proof_7
0.000016     5380 galois_insertion.lift_bounded_lattice._proof_8
0.000017     5381 galois_insertion.lift_bounded_lattice._proof_9
0.000016     5382 galois_insertion.lift_bounded_lattice._proof_10
0.000016     5383 galois_insertion.lift_order_top._proof_1
0.000017     5384 galois_insertion.lift_order_top._proof_2
0.000017     5385 galois_insertion.lift_order_top
0.000016     5386 galois_insertion.lift_bounded_lattice._proof_11
0.000016     5387 galois_connection.lift_order_bot._proof_1
0.000017     5388 galois_connection.lift_order_bot
0.000016     5389 galois_insertion.lift_bounded_lattice._proof_12
0.000017     5390 galois_insertion.lift_bounded_lattice._proof_13
0.000016     5391 galois_insertion.lift_bounded_lattice
0.000016     5392 galois_insertion.lift_complete_lattice._proof_1
0.000016     5393 galois_insertion.lift_complete_lattice._proof_2
0.000017     5394 galois_insertion.lift_complete_lattice._proof_3
0.000016     5395 galois_insertion.lift_complete_lattice._proof_4
0.000017     5396 galois_insertion.lift_complete_lattice._proof_5
0.000016     5397 galois_insertion.lift_complete_lattice._proof_6
0.000016     5398 galois_insertion.lift_complete_lattice._proof_7
0.000017     5399 galois_insertion.lift_complete_lattice._proof_8
0.000017     5400 galois_insertion.lift_complete_lattice._proof_9
0.000016     5401 galois_insertion.lift_complete_lattice._proof_10
0.000025     5402 galois_insertion.lift_complete_lattice._proof_11
0.000018     5403 galois_insertion.lift_complete_lattice._proof_12
0.000015     5404 supr
0.000014     5405 le_supr
0.000016     5406 le_supr_of_le
0.000017     5407 galois_insertion.lift_complete_lattice._proof_13
0.000017     5408 supr_le
0.000017     5409 galois_insertion.lift_complete_lattice._proof_14
0.000016     5410 le_infi
0.000017     5411 infi_le
0.000016     5412 infi_le_of_le
0.000016     5413 galois_insertion.lift_complete_lattice._proof_15
0.000017     5414 galois_insertion.lift_complete_lattice._proof_16
0.000016     5415 galois_insertion.lift_complete_lattice._proof_17
0.000016     5416 galois_insertion.lift_complete_lattice
0.000016     5417 filter.generate_sets
0.000017     5418 filter.generate._proof_1
0.000016     5419 filter.generate._proof_2
0.000017     5420 filter.generate
0.000016     5421 bounded_distrib_lattice
0.000016     5422 bounded_distrib_lattice.sup
0.000017     5423 bounded_distrib_lattice.le
0.000016     5424 bounded_distrib_lattice.lt
0.000016     5425 bounded_distrib_lattice.le_refl
0.000016     5426 bounded_distrib_lattice.le_trans
0.000017     5427 bounded_distrib_lattice.lt_iff_le_not_le
0.000016     5428 bounded_distrib_lattice.le_antisymm
0.000016     5429 bounded_distrib_lattice.le_sup_left
0.000016     5430 bounded_distrib_lattice.le_sup_right
0.000016     5431 bounded_distrib_lattice.sup_le
0.000016     5432 bounded_distrib_lattice.inf
0.000017     5433 bounded_distrib_lattice.inf_le_left
1.677339     5434 bounded_distrib_lattice.inf_le_right
0.000093     5435 bounded_distrib_lattice.le_inf
0.000024     5436 bounded_distrib_lattice.top
0.000015     5437 bounded_distrib_lattice.le_top
0.000014     5438 bounded_distrib_lattice.bot
0.000014     5439 bounded_distrib_lattice.bot_le
0.000014     5440 bounded_distrib_lattice.to_bounded_lattice
0.000014     5441 semilattice_inf_bot_of_bounded_lattice._proof_1
0.000015     5442 semilattice_inf_bot_of_bounded_lattice
0.000014     5443 has_compl
0.000014     5444 has_compl.compl
0.000014     5445 semilattice_sup_bot_of_bounded_lattice._proof_1
0.000017     5446 semilattice_sup_bot_of_bounded_lattice
0.000016     5447 boolean_algebra.core
0.000015     5448 boolean_algebra.core.compl
0.000014     5449 boolean_algebra.core.to_has_compl
0.000018     5450 boolean_algebra
0.000018     5451 boolean_algebra.sup
0.000017     5452 set.has_le
0.000016     5453 set.has_lt
0.000014     5454 boolean_algebra.le
0.000014     5455 boolean_algebra.bot
0.000018     5456 pi.preorder._proof_1
0.000019     5457 pi.preorder._proof_2
0.000015     5458 pi.preorder._proof_3
0.000014     5459 pi.preorder
0.000017     5460 pi.partial_order._proof_1
0.000016     5461 pi.partial_order._proof_2
0.000015     5462 pi.partial_order._proof_3
0.000014     5463 pi.partial_order._proof_4
0.000016     5464 pi.partial_order
0.000019     5465 boolean_algebra.lt
0.000015     5466 boolean_algebra.le_refl
0.000016     5467 pi.boolean_algebra._proof_1
0.000014     5468 boolean_algebra.le_trans
0.000015     5469 pi.boolean_algebra._proof_2
0.000016     5470 boolean_algebra.lt_iff_le_not_le
0.000015     5471 pi.boolean_algebra._proof_3
0.000016     5472 boolean_algebra.le_antisymm
0.000016     5473 pi.boolean_algebra._proof_4
0.000017     5474 pi.boolean_algebra._proof_5
0.000016     5475 pi.boolean_algebra._proof_6
0.000016     5476 pi.boolean_algebra._proof_7
0.000017     5477 pi.boolean_algebra._proof_8
0.000016     5478 boolean_algebra.bot_le
0.000017     5479 pi.boolean_algebra._proof_9
0.000016     5480 boolean_algebra.le_sup_left
0.000016     5481 pi.boolean_algebra._proof_10
0.000016     5482 boolean_algebra.le_sup_right
0.000016     5483 pi.boolean_algebra._proof_11
0.000016     5484 boolean_algebra.sup_le
0.000016     5485 pi.boolean_algebra._proof_12
0.000017     5486 boolean_algebra.inf
0.000016     5487 boolean_algebra.inf_le_left
0.000016     5488 pi.boolean_algebra._proof_13
0.000017     5489 boolean_algebra.inf_le_right
0.000016     5490 pi.boolean_algebra._proof_14
0.000016     5491 boolean_algebra.le_inf
0.000016     5492 pi.boolean_algebra._proof_15
0.000016     5493 boolean_algebra.le_sup_inf
0.000017     5494 pi.boolean_algebra._proof_16
0.000016     5495 boolean_algebra.sdiff
0.000016     5496 boolean_algebra.sup_inf_sdiff
0.000017     5497 pi.boolean_algebra._proof_17
0.000016     5498 boolean_algebra.inf_inf_sdiff
0.000016     5499 pi.boolean_algebra._proof_18
0.000016     5500 boolean_algebra.top
0.000017     5501 boolean_algebra.le_top
0.000016     5502 pi.boolean_algebra._proof_19
0.000016     5503 boolean_algebra.compl
0.000016     5504 boolean_algebra.inf_compl_le_bot
0.000016     5505 pi.boolean_algebra._proof_20
0.000017     5506 boolean_algebra.top_le_sup_compl
0.000026     5507 pi.boolean_algebra._proof_21
0.000020     5508 boolean_algebra.sdiff_eq
0.000017     5509 pi.boolean_algebra._proof_22
0.000017     5510 pi.boolean_algebra
0.000016     5511 boolean_algebra.core.bot
0.000017     5512 boolean_algebra.core.le
0.000016     5513 boolean_algebra.core.lt
0.000017     5514 boolean_algebra.core.le_refl
0.000017     5515 boolean_algebra.core.le_trans
0.000016     5516 boolean_algebra.core.lt_iff_le_not_le
0.000017     5517 boolean_algebra.core.le_antisymm
0.000016     5518 boolean_algebra.core.bot_le
0.000016     5519 boolean_algebra.core.sup
0.000017     5520 boolean_algebra.core.le_sup_left
0.000016     5521 boolean_algebra.core.le_sup_right
0.000017     5522 boolean_algebra.core.sup_le
0.000016     5523 boolean_algebra.core.inf
0.000016     5524 boolean_algebra.core.inf_le_left
0.000017     5525 boolean_algebra.core.inf_le_right
0.000016     5526 boolean_algebra.core.le_inf
0.000017     5527 boolean_algebra.core.le_sup_inf
0.000016     5528 boolean_algebra.core.top
0.000016     5529 boolean_algebra.core.le_top
0.000017     5530 boolean_algebra.core.to_bounded_distrib_lattice
0.000016     5531 distrib_lattice.to_lattice
0.000015     5532 bounded_distrib_lattice.le_sup_inf
0.000016     5533 bounded_distrib_lattice.to_distrib_lattice
0.000017     5534 inf_eq_left
0.000016     5535 inf_sup_self
0.000017     5536 inf_assoc
0.000017     5537 sup_inf_le
0.000016     5538 le_sup_inf
0.000017     5539 sup_inf_left
0.000016     5540 sup_inf_right
0.000016     5541 sup_inf_self
0.000017     5542 inf_sup_left
0.000017     5543 boolean_algebra.core.top_le_sup_compl
0.000016     5544 sup_compl_eq_top
0.000016     5545 semilattice_inf_top.to_semilattice_inf
0.000017     5546 semilattice_inf_top_of_bounded_lattice._proof_1
0.000017     5547 semilattice_inf_top_of_bounded_lattice
0.545815     5548 semilattice_inf_top.top
0.000095     5549 semilattice_inf_top.le_top
0.000023     5550 semilattice_inf_top.to_order_top
0.000015     5551 inf_of_le_left
0.000014     5552 inf_top_eq
0.000014     5553 boolean_algebra.of_core._proof_1
0.000015     5554 inf_comm
0.000014     5555 inf_left_right_swap
0.000015     5556 boolean_algebra.core.inf_compl_le_bot
0.000014     5557 inf_compl_eq_bot
0.000017     5558 compl_inf_eq_bot
0.000017     5559 inf_of_le_right
0.000017     5560 inf_bot_eq
0.000015     5561 bot_inf_eq
0.000014     5562 boolean_algebra.of_core._proof_2
0.000018     5563 boolean_algebra.of_core._proof_3
0.000015     5564 boolean_algebra.of_core
0.000014     5565 distrib_lattice.lt._default
0.000018     5566 bounded_distrib_lattice_Prop._proof_1
0.000017     5567 bounded_distrib_lattice_Prop._proof_2
0.000015     5568 bounded_distrib_lattice_Prop._proof_3
0.000014     5569 bounded_distrib_lattice_Prop._proof_4
0.000017     5570 bounded_distrib_lattice_Prop._proof_5
0.000014     5571 bounded_distrib_lattice_Prop._proof_6
0.000017     5572 bounded_distrib_lattice_Prop._proof_7
0.000017     5573 bounded_distrib_lattice_Prop._proof_8
0.000015     5574 bounded_distrib_lattice_Prop
0.000026     5575 boolean_algebra_Prop._proof_1
0.000017     5576 boolean_algebra_Prop._proof_2
0.000017     5577 boolean_algebra_Prop._proof_3
0.000016     5578 boolean_algebra_Prop._proof_4
0.000017     5579 boolean_algebra_Prop._proof_5
0.000017     5580 boolean_algebra_Prop._proof_6
0.000017     5581 boolean_algebra_Prop._proof_7
0.000017     5582 boolean_algebra_Prop._proof_8
0.000016     5583 boolean_algebra_Prop._proof_9
0.000016     5584 boolean_algebra_Prop._proof_10
0.000017     5585 boolean_algebra_Prop._proof_11
0.000016     5586 boolean_algebra_Prop._proof_12
0.000017     5587 boolean_algebra_Prop._proof_13
0.000016     5588 boolean_algebra_Prop._match_1
0.000017     5589 boolean_algebra_Prop._proof_14
0.000016     5590 boolean_algebra_Prop._proof_15
0.000017     5591 boolean_algebra_Prop
0.000016     5592 set.boolean_algebra._proof_1
0.000017     5593 set.boolean_algebra._proof_2
0.000016     5594 set.boolean_algebra._proof_3
0.000017     5595 set.boolean_algebra._proof_4
0.000016     5596 set.boolean_algebra._proof_5
0.000017     5597 set.union
0.000016     5598 set.has_union
0.000017     5599 set.boolean_algebra._proof_6
0.000016     5600 set.boolean_algebra._proof_7
0.000017     5601 set.boolean_algebra._proof_8
0.000016     5602 set.boolean_algebra._proof_9
0.000017     5603 set.boolean_algebra._proof_10
0.000016     5604 set.boolean_algebra._proof_11
0.000017     5605 set.boolean_algebra._proof_12
0.000016     5606 has_sep
0.000017     5607 has_sep.sep
0.000016     5608 set.sep
0.000016     5609 set.has_sep
0.000016     5610 set.diff
0.000017     5611 set.has_sdiff
0.000016     5612 set.boolean_algebra._proof_13
0.000017     5613 set.boolean_algebra._proof_14
0.000016     5614 set.boolean_algebra._proof_15
0.000016     5615 set.compl
0.000016     5616 set.boolean_algebra._proof_16
0.000017     5617 set.boolean_algebra._proof_17
0.000016     5618 set.boolean_algebra._proof_18
0.000017     5619 set.boolean_algebra
0.000016     5620 set.lattice_set._proof_1
0.000017     5621 set.lattice_set._proof_2
0.000016     5622 set.lattice_set._proof_3
0.000016     5623 set.lattice_set._proof_4
0.000017     5624 set.lattice_set._proof_5
0.000014     5625 set.lattice_set._proof_6
0.000015     5626 set.lattice_set._proof_7
0.000017     5627 set.lattice_set._proof_8
0.000016     5628 set.lattice_set._proof_9
0.000017     5629 set.lattice_set._proof_10
0.000016     5630 set.lattice_set._proof_11
0.000017     5631 set.lattice_set._proof_12
0.000016     5632 set.lattice_set._proof_13
0.000017     5633 set.lattice_set._match_1
0.000016     5634 set.lattice_set._proof_14
0.000017     5635 set.lattice_set._proof_15
0.000016     5636 set.lattice_set._proof_16
0.000017     5637 set.lattice_set
0.000016     5638 filter.mk_of_closure._proof_1
0.000017     5639 filter.mk_of_closure._proof_2
0.000016     5640 filter.mk_of_closure._proof_3
0.000016     5641 filter.mk_of_closure
0.000017     5642 filter.generate_sets.rec_on
0.000016     5643 filter.sets_iff_generate
0.000016     5644 filter.gi_generate._proof_1
0.000016     5645 filter.gi_generate._proof_2
0.000017     5646 filter.gi_generate._proof_3
0.000017     5647 filter.filter_eq_iff
0.000016     5648 set.ext_iff
0.000016     5649 filter.mem_sets
0.000016     5650 filter.ext_iff
0.000017     5651 filter.ext
0.000016     5652 filter.mk_of_closure_sets
0.000017     5653 filter.gi_generate._proof_4
0.000016     5654 filter.gi_generate
0.000016     5655 _private.2601649675.original_complete_lattice
0.000016     5656 filter.complete_lattice._proof_1
0.000017     5657 filter.has_top._proof_1
0.000017     5658 filter.has_top._proof_2
0.000016     5659 set.mem_inter
0.000016     5660 filter.has_top._proof_3
0.000016     5661 filter.has_top
0.000017     5662 filter.mem_top_sets_iff_forall
0.000016     5663 filter.mem_top_sets
0.000016     5664 filter.complete_lattice._proof_2
0.000017     5665 filter.complete_lattice._proof_3
0.858149     5666 filter.complete_lattice._proof_4
0.000092     5667 set.inter_subset_left
0.000023     5668 filter.has_inf._proof_1
0.000015     5669 filter.has_inf._match_1
0.000014     5670 filter.has_inf._proof_2
0.000015     5671 set.inter_assoc
0.000015     5672 set.inter_is_assoc
0.000014     5673 set.inter_comm
0.000019     5674 set.inter_is_comm
0.000026     5675 set.inter_subset_inter
0.000019     5676 filter.has_inf._match_2
0.000017     5677 filter.has_inf._match_3
0.000015     5678 filter.has_inf._proof_3
0.000015     5679 filter.has_inf
0.000016     5680 filter.mem_inf_sets_of_left
0.000019     5681 set.inter_subset_right
0.000017     5682 filter.mem_inf_sets_of_right
0.000016     5683 filter.complete_lattice._match_1
0.000016     5684 filter.complete_lattice._proof_5
0.000015     5685 set.set_of_true
0.000014     5686 filter.join._proof_1
0.000017     5687 filter.join._proof_2
0.000015     5688 filter.join._match_1
0.000017     5689 filter.join._proof_3
0.000017     5690 filter.join
0.000015     5691 set.Inter
0.000014     5692 set.mem_Inter
0.000017     5693 set.mem_bInter_iff
0.000015     5694 filter.complete_lattice._proof_6
0.000016     5695 filter.complete_lattice._proof_7
0.000017     5696 filter.complete_lattice
0.000017     5697 filter.lift
0.000016     5698 filter.lift'
0.000017     5699 comp_rel
0.000017     5700 uniform_space.core
0.000016     5701 topological_space.is_open
0.000017     5702 uniform_space.core.uniformity
0.000017     5703 uniform_space
0.000016     5704 uniform_space.to_core
0.000017     5705 uniformity
0.000016     5706 pseudo_emetric_space
0.000016     5707 pseudo_emetric_space.to_has_edist
0.000017     5708 emetric_space
0.000017     5709 has_dist
0.000016     5710 has_dist.dist
0.000017     5711 ennreal.has_coe
0.000016     5712 ennreal.of_real
0.000017     5713 pseudo_metric_space
0.000016     5714 pseudo_metric_space.to_has_dist
0.000016     5715 metric_space
0.000017     5716 set.has_coe_to_sort
0.000017     5717 emetric.ball
0.000016     5718 emetric_space.to_pseudo_emetric_space
0.000016     5719 ennreal.to_nnreal._main
0.000017     5720 ennreal.to_nnreal
0.000016     5721 ennreal.to_real
0.000017     5722 pseudo_emetric_space.edist_self
0.000016     5723 ennreal.zero_to_real
0.000017     5724 pseudo_emetric_space.to_pseudo_metric_space_of_dist._proof_1
0.000016     5725 pseudo_emetric_space.edist_comm
0.000015     5726 pseudo_emetric_space.to_pseudo_metric_space_of_dist._proof_2
0.000014     5727 can_lift
0.000015     5728 can_lift.coe
0.000017     5729 option.is_some._main
0.000017     5730 option.is_some
0.000017     5731 option.get._main
0.000016     5732 option.get
0.000017     5733 option.is_some_none
0.000016     5734 option.is_some_some
0.000017     5735 coe_sort_tt
0.000017     5736 option.ne_none_iff_is_some
0.000016     5737 option.some_get
0.000016     5738 ennreal.nnreal.can_lift._proof_1
0.000017     5739 ennreal.nnreal.can_lift
0.000016     5740 can_lift.cond
0.000017     5741 can_lift.prf
0.000016     5742 ennreal.to_real_add
0.000017     5743 nnreal.has_le
0.000016     5744 ennreal.coe_le_coe
0.000015     5745 ennreal.to_real_le_to_real
0.000014     5746 with_top.add_eq_top
0.000014     5747 ennreal.add_eq_top
0.000014     5748 pseudo_emetric_space.edist_triangle
0.000017     5749 pseudo_emetric_space.to_pseudo_metric_space_of_dist._proof_3
0.000016     5750 ennreal.to_real.equations._eqn_1
0.000017     5751 ennreal.of_real.equations._eqn_1
0.000016     5752 nnreal.of_real_coe
0.000017     5753 ennreal.coe_to_nnreal
0.000016     5754 ennreal.of_real_to_real
0.000017     5755 pseudo_emetric_space.to_pseudo_metric_space_of_dist._proof_4
0.000017     5756 uniform_space.core.to_topological_space._proof_1
0.000016     5757 filter.mp_sets
0.000017     5758 filter.univ_mem_sets'
0.000016     5759 set.mem_inter_eq
0.000017     5760 prod.cases_on
0.000017     5761 prod.forall
0.000016     5762 uniform_space.core.to_topological_space._match_1
0.000017     5763 uniform_space.core.to_topological_space._proof_2
0.000016     5764 uniform_space.core.to_topological_space._match_2
0.000017     5765 uniform_space.core.to_topological_space._proof_3
0.000016     5766 uniform_space.core.to_topological_space
0.000017     5767 uniform_space.of_core._proof_1
0.000016     5768 uniform_space.of_core
0.000017     5769 gt.equations._eqn_1
0.000017     5770 id_rel.equations._eqn_1
0.000016     5771 filter.le_principal_iff
0.000016     5772 filter.mem_principal_sets
0.000017     5773 set.subset_def
0.000017     5774 uniform_space_of_dist._proof_1
0.000016     5775 filter.tendsto.equations._eqn_1
0.000017     5776 le_infi_iff
0.000016     5777 filter.tendsto_infi
0.000017     5778 set.preimage_univ
0.000017     5779 filter.comap._proof_1
0.000016     5780 filter.comap._match_1
0.000017     5781 filter.comap._proof_2
0.000016     5782 filter.comap._match_2
0.000017     5783 filter.comap._match_3
0.000017     5784 filter.comap._proof_3
0.000016     5785 filter.comap
0.000017     5786 filter.map_le_iff_le_comap
0.000017     5787 filter.gc_map_comap
0.000016     5788 filter.map_mono
0.000017     5789 filter.tendsto.mono_left
0.000016     5790 filter.tendsto_infi'
0.000018     5791 filter.eventually
0.000016     5792 filter.mem_map
2.043394     5793 filter.eventually.equations._eqn_1
0.000094     5794 filter.tendsto_principal
0.000023     5795 filter.eventually_principal
0.000015     5796 filter.tendsto_principal_principal
0.000014     5797 prod.fst_swap
0.000014     5798 prod.snd_swap
0.000015     5799 uniform_space_of_dist._proof_2
0.000014     5800 filter.lift_le
0.000014     5801 filter.lift'_le
0.000015     5802 filter.mem_infi_sets
0.000018     5803 comp_rel.equations._eqn_1
0.000017     5804 set.set_of_subset_set_of
0.000016     5805 uniform_space_of_dist._proof_3
0.000015     5806 uniform_space_of_dist
0.000014     5807 pseudo_emetric_space.to_pseudo_metric_space_of_dist._proof_5
0.000019     5808 pseudo_emetric_space.to_pseudo_metric_space_of_dist._proof_6
0.000018     5809 pseudo_emetric_space.to_pseudo_metric_space_of_dist._proof_7
0.000017     5810 pseudo_emetric_space.to_pseudo_metric_space_of_dist._proof_8
0.000016     5811 pseudo_emetric_space.to_uniform_space
0.000015     5812 pseudo_emetric_space.to_uniform_space'
0.000014     5813 pseudo_metric_space.edist
0.000017     5814 pseudo_metric_space.to_has_edist
0.000018     5815 pseudo_metric_space.edist_dist
0.000015     5816 edist_dist
0.000014     5817 pseudo_metric_space.dist_self
0.000014     5818 dist_self
0.000014     5819 nnreal.of_real.equations._eqn_1
0.000017     5820 nnreal.of_real_zero
0.000014     5821 ennreal.coe_zero
0.000014     5822 ennreal.of_real_zero
0.000014     5823 pseudo_metric_space.to_pseudo_emetric_space._proof_1
0.000017     5824 pseudo_metric_space.dist_comm
0.000014     5825 dist_comm
0.000015     5826 pseudo_metric_space.to_pseudo_emetric_space._proof_2
0.000014     5827 ennreal.coe_add
0.000017     5828 ennreal.coe_eq_coe
0.000017     5829 subtype.coe_mk
0.000017     5830 nnreal.coe_add
0.000016     5831 nnreal.of_real_add
0.000016     5832 ennreal.of_real_add
0.000017     5833 pseudo_metric_space.dist_triangle
0.000016     5834 dist_triangle
0.000026     5835 dist_nonneg
0.000016     5836 nnreal.coe_le_coe
0.000014     5837 nnreal.of_real_le_of_real_iff
0.000015     5838 ennreal.of_real_le_of_real_iff
0.000013     5839 pseudo_metric_space.to_pseudo_emetric_space._proof_3
0.000018     5840 pseudo_metric_space.to_uniform_space
0.000016     5841 metric_space.to_uniform_space'
0.000017     5842 filter.has_basis
0.000016     5843 infi_subtype
0.000017     5844 infi_subtype'
0.000016     5845 filter.eq_Inf_of_mem_sets_iff_exists_mem
0.000016     5846 set.mem_range
0.000017     5847 exists_exists_eq_and
0.000016     5848 set.exists_range_iff
0.000017     5849 filter.eq_infi_of_mem_sets_iff_exists_mem
0.000016     5850 filter.eq_binfi_of_mem_sets_iff_exists_mem
0.000016     5851 filter.has_basis.mem_iff'
0.000017     5852 filter.has_basis.mem_iff
0.000016     5853 filter.has_basis.eq_binfi
0.000016     5854 filter.has_basis.mem_uniformity_iff
0.000017     5855 pseudo_metric_space.uniformity_dist
0.000016     5856 directed_on
0.000017     5857 order.preimage
0.000016     5858 directed
0.000017     5859 set.Union
0.000016     5860 nonempty.dcases_on
0.000016     5861 set.mem_Union
0.000016     5862 filter.mem_mk
0.000017     5863 filter.infi_sets_eq
0.000016     5864 filter.mem_infi
0.000017     5865 directed_on.equations._eqn_1
0.000016     5866 directed.equations._eqn_1
0.000017     5867 subtype.exists
0.000016     5868 set_coe.exists
0.000017     5869 subtype.forall
0.000016     5870 set_coe.forall
0.000017     5871 forall_prop_congr
0.000016     5872 forall_prop_congr'
0.000017     5873 directed_on_iff_directed
0.000017     5874 directed_on.directed_coe
0.000016     5875 nonempty_subtype
0.000016     5876 set.nonempty.to_subtype
0.000016     5877 filter.mem_binfi
0.000017     5878 directed_comp
0.000016     5879 function.comp.equations._eqn_1
0.000016     5880 directed.mono
0.000017     5881 directed.mono_comp
0.000016     5882 filter.principal_mono
0.000017     5883 filter.has_basis_binfi_principal
0.000016     5884 le_or_gt
0.000017     5885 lt_min
0.000016     5886 no_top_order
0.000016     5887 set.Ioi
0.000017     5888 no_top_order.no_top
0.000016     5889 no_top
0.000016     5890 set.nonempty_Ioi
0.000017     5891 linear_ordered_semiring.to_no_top_order
0.000016     5892 metric.uniformity_basis_dist
0.000017     5893 metric.mem_uniformity_dist
0.000016     5894 ennreal.coe_lt_coe
0.000016     5895 ennreal.coe_pos
0.000016     5896 nnreal.coe_lt_coe
0.000016     5897 as_linear_order
0.000017     5898 total_of
0.000016     5899 as_linear_order.linear_order._proof_1
0.000016     5900 as_linear_order.linear_order
0.000016     5901 lt_sup_iff
0.000017     5902 lt_max_iff
0.000016     5903 nnreal.of_real_pos
0.000016     5904 ennreal.of_real_pos
0.000017     5905 nnreal.of_real_lt_of_real_iff'
0.000016     5906 nnreal.of_real_lt_of_real_iff
0.000016     5907 ennreal.of_real_lt_of_real_iff
0.000017     5908 ennreal.lt_iff_exists_coe
0.000016     5909 with_top.densely_ordered._match_2
0.000017     5910 with_top.densely_ordered._match_3
0.000016     5911 with_top.densely_ordered._match_1
0.000016     5912 with_top.densely_ordered
0.000017     5913 nnreal.densely_ordered._match_1
0.000016     5914 nnreal.densely_ordered
0.571080     5915 nnreal.no_top_order._match_1
0.000092     5916 nnreal.no_top_order
0.000023     5917 ennreal.densely_ordered
0.000015     5918 nnreal.coe_of_real
0.000014     5919 inv_div
0.000014     5920 rat.cast_inv_of_ne_zero
0.000014     5921 rat.cast_div_of_ne_zero
0.000015     5922 rat.coe_int_denom
0.000014     5923 rat.coe_int_num
0.000014     5924 rat.coe_nat_num
0.000014     5925 has_lt.lt.trans
0.000019     5926 rat.coe_nat_denom
0.000017     5927 lt_neg_add_iff_add_lt
0.000017     5928 lt_sub_iff_add_lt'
0.000014     5929 div_lt_iff'
0.000014     5930 exists_rat_btwn
0.000014     5931 nnreal.lt_iff_exists_rat_btwn
0.000018     5932 ennreal.lt_iff_exists_rat_btwn
0.000014     5933 ennreal.lt_iff_exists_real_btwn
0.000017     5934 pseudo_metric.uniformity_basis_edist
0.000018     5935 metric.uniformity_edist
0.000017     5936 pseudo_metric_space.to_pseudo_emetric_space
0.000017     5937 pseudo_metric_space.replace_uniformity._proof_1
0.000017     5938 pseudo_metric_space.replace_uniformity
0.000016     5939 pseudo_emetric_space.uniformity_edist
0.000017     5940 uniformity_pseudoedist
0.000016     5941 pseudo_emetric_space.to_pseudo_metric_space_of_dist._proof_9
0.000016     5942 pseudo_emetric_space.to_pseudo_metric_space_of_dist
0.000016     5943 emetric_space.to_metric_space_of_dist._proof_1
0.000016     5944 emetric_space.to_metric_space_of_dist._proof_2
0.000017     5945 emetric_space.to_metric_space_of_dist._proof_3
0.000016     5946 emetric_space.to_metric_space_of_dist._proof_4
0.000016     5947 emetric_space.to_metric_space_of_dist._proof_5
0.000016     5948 nnreal.coe_eq
0.000016     5949 nnreal.coe_eq_zero
0.000016     5950 ennreal.none_eq_top
0.000016     5951 ennreal.top_to_nnreal
0.000017     5952 ennreal.some_eq_coe
0.000016     5953 ennreal.to_nnreal_coe
0.000017     5954 with_top.zero_ne_top
0.000016     5955 ennreal.zero_to_nnreal
0.000016     5956 ennreal.to_nnreal_eq_zero_iff
0.000017     5957 ennreal.to_real_eq_zero_iff
0.000017     5958 emetric_space.eq_of_edist_eq_zero
0.000016     5959 edist_eq_zero
0.000016     5960 emetric_space.to_metric_space_of_dist._proof_6
0.000017     5961 emetric_space.to_metric_space_of_dist
0.000016     5962 emetric_space.to_metric_space._proof_1
0.000016     5963 emetric_space.to_metric_space
0.000016     5964 emetric_space.induced._proof_1
0.000017     5965 emetric_space.induced._proof_2
0.000016     5966 emetric_space.induced._proof_3
0.000017     5967 topological_space.is_open_univ
0.000016     5968 topological_space.induced._proof_1
0.000016     5969 topological_space.is_open_inter
0.000016     5970 set.preimage_inter
0.000017     5971 topological_space.induced._proof_2
0.000016     5972 classical.axiom_of_choice
0.000016     5973 classical.skolem
0.000017     5974 set.preimage.equations._eqn_1
0.000016     5975 set.preimage_Union
0.000016     5976 infi_subtype''
0.000016     5977 infi.equations._eqn_1
0.000016     5978 forall_swap
0.000017     5979 forall_apply_eq_imp_iff
0.000016     5980 forall_apply_eq_imp_iff'
0.000016     5981 set.forall_range_iff
0.000017     5982 set.mem_range_self
0.000016     5983 forall_apply_eq_imp_iff₂
0.000016     5984 set.ball_image_iff
0.000016     5985 set.range_comp
0.000016     5986 set.image.equations._eqn_1
0.000016     5987 set.range.equations._eqn_1
0.000017     5988 set.image_univ
0.000016     5989 subtype.coe_image
0.000016     5990 set.set_of_mem_eq
0.000016     5991 subtype.range_coe
0.000017     5992 Inf_image
0.000016     5993 Sup_image
0.000016     5994 set.sUnion_image
0.000017     5995 set.image_id'
0.000016     5996 set.sUnion_eq_bUnion
0.000017     5997 is_open
0.000016     5998 topological_space.is_open_sUnion
0.000016     5999 is_open_sUnion
0.000017     6000 is_open_Union
0.000016     6001 topological_space.induced._proof_3
0.000016     6002 topological_space.induced
0.000016     6003 uniform_space.to_topological_space
0.000016     6004 filter.comap_principal
0.000017     6005 mem_id_rel
0.000016     6006 id_rel_subset
0.000016     6007 set.mem_preimage
0.000017     6008 filter.comap_mono
0.000016     6009 uniform_space.core.refl
0.000016     6010 uniform_space.comap._proof_1
0.000016     6011 prod.swap.equations._eqn_1
0.000015     6012 filter.map_compose
0.000016     6013 filter.map_map
0.000017     6014 filter.tendsto.comp
0.000016     6015 filter.map_comap_le
0.000017     6016 filter.tendsto_comap
0.000016     6017 filter.tendsto_comap_iff
0.000016     6018 uniform_space.core.symm
0.000017     6019 symm_le_uniformity
0.000017     6020 tendsto_swap_uniformity
0.000014     6021 uniform_space.comap._proof_2
0.000014     6022 filter.mem_comap_sets
0.000016     6023 filter.has_basis.mem_of_superset
0.000015     6024 filter.has_basis.mem_of_mem
0.000016     6025 filter.has_basis.exists_iff
0.000014     6026 filter.has_basis.mem_lift_iff
0.000016     6027 filter.exists_sets_subset_iff
0.000015     6028 filter.basis_sets
0.000015     6029 id.equations._eqn_1
0.000015     6030 filter.mem_lift_sets
0.000016     6031 monotone.comp
0.000015     6032 filter.comap_lift_eq
0.000016     6033 filter.monotone_principal
0.000016     6034 filter.lift'.equations._eqn_1
1.115235     6035 filter.comap_lift'_eq
0.000092     6036 monotone_comp_rel
0.000023     6037 monotone_id
0.000015     6038 filter.comap_lift_eq2
0.000014     6039 filter.comap_lift'_eq2
0.000014     6040 infi_le_infi
0.000014     6041 filter.lift'_mono'
0.000015     6042 uniform_space.comap._match_2
0.000014     6043 uniform_space.comap._match_3
0.000014     6044 uniform_space.core.comp
0.000016     6045 uniform_space.comap._proof_3
0.000017     6046 nhds
0.000016     6047 interior
0.000017     6048 is_open_interior
0.000014     6049 set.sUnion_subset
0.000014     6050 interior_subset
0.000014     6051 set.subset_sUnion_of_mem
0.000014     6052 interior_maximal
0.000016     6053 is_open.interior_eq
0.000017     6054 interior_eq_iff_open
0.000017     6055 subset_interior_iff_open
0.000014     6056 interior.equations._eqn_1
0.000014     6057 mem_interior
0.000017     6058 nhds.equations._eqn_1
0.000015     6059 nhds_def
0.000017     6060 is_open_inter
0.000017     6061 is_open_univ
0.000016     6062 nhds_basis_opens
0.000017     6063 mem_nhds_sets_iff
0.000025     6064 interior_eq_nhds'
0.000021     6065 interior_eq_nhds
0.000017     6066 is_open_iff_nhds
0.000017     6067 uniform_space.is_open_uniformity
0.000016     6068 is_open_uniformity
0.000017     6069 refl_le_uniformity
0.000016     6070 refl_mem_uniformity
0.000017     6071 filter.mem_lift'_sets
0.000016     6072 comp_le_uniformity
0.000017     6073 comp_mem_uniformity_sets
0.000016     6074 mem_nhds_uniformity_iff_right
0.000017     6075 is_open_induced_iff
0.000016     6076 mem_nhds_induced
0.000016     6077 nhds_induced
0.000017     6078 filter.comap.equations._eqn_1
0.000017     6079 ball_congr
0.000016     6080 uniform_space.ball
0.000026     6081 nhds_eq_comap_uniformity_aux
0.000019     6082 nhds_eq_comap_uniformity
0.000017     6083 uniform_space.mem_nhds_iff
0.000017     6084 uniform_space.ball_mem_nhds
0.000017     6085 mem_nhds_left
0.000016     6086 uniform_space.comap._proof_4
0.000017     6087 uniform_space.comap
0.000017     6088 uniformity_dist_of_mem_uniformity
0.000016     6089 canonically_ordered_semiring.zero_lt_one
0.000017     6090 nonempty.elim_to_inhabited
0.000017     6091 option.nontrivial
0.000016     6092 with_top.nontrivial
0.000016     6093 ennreal.nontrivial
0.000017     6094 ennreal.zero_lt_one
0.000017     6095 uniformity_basis_edist
0.000016     6096 mem_uniformity_edist
0.000016     6097 edist_mem_uniformity
0.000017     6098 emetric_space.induced._match_1
0.000017     6099 emetric_space.induced._proof_4
0.000016     6100 emetric_space.induced._proof_5
0.000017     6101 emetric_space.induced
0.000016     6102 subtype.ext_iff
0.000017     6103 subtype.ext_iff_val
0.000016     6104 subtype.emetric_space._proof_1
0.000016     6105 subtype.emetric_space
0.000017     6106 lt_top_iff_ne_top
0.000016     6107 pseudo_emetric_space.induced._proof_1
0.000017     6108 pseudo_emetric_space.induced._proof_2
0.000016     6109 pseudo_emetric_space.induced._proof_3
0.000017     6110 pseudo_emetric_space.induced._match_1
0.000017     6111 pseudo_emetric_space.induced._proof_4
0.000016     6112 pseudo_emetric_space.induced
0.000015     6113 subtype.pseudo_emetric_space
0.000015     6114 edist_triangle_left
0.000016     6115 ennreal.top_add
0.000017     6116 with_top.add_lt_top
0.000016     6117 ennreal.add_lt_top
0.000017     6118 ennreal.coe_lt_top
0.000016     6119 ennreal.add_top
0.000017     6120 ne_top_of_lt
0.000016     6121 ennreal.add_lt_add
0.000017     6122 edist_ne_top_of_mem_ball
0.000017     6123 metric_space_emetric_ball
0.000016     6124 expr.coord
0.000017     6125 expr.coord.cases_on
0.000016     6126 expr.coord.repr._sunfold
0.000017     6127 omega.nat.preterm
0.000016     6128 omega.nat.preform
0.000017     6129 omega.nat.preform.cases_on
0.000016     6130 omega.nat.preform.below
0.000017     6131 omega.nat.preform.brec_on
0.000016     6132 pprod.snd
0.000017     6133 omega.nat.push_neg._main
0.000017     6134 omega.nat.push_neg
0.000016     6135 omega.nat.nnf._main
0.000017     6136 omega.nat.nnf
0.000016     6137 omega.nat.nnf._sunfold
0.000016     6138 right_cancel_monoid
0.000017     6139 right_cancel_monoid.mul
0.000016     6140 right_cancel_monoid.mul_assoc
0.000017     6141 right_cancel_monoid.one
0.000016     6142 right_cancel_monoid.one_mul
0.000016     6143 right_cancel_monoid.mul_one
0.000017     6144 right_cancel_monoid.to_monoid
0.000016     6145 cancel_monoid
0.000017     6146 cancel_monoid.mul
0.000016     6147 cancel_monoid.mul_assoc
0.000016     6148 cancel_monoid.mul_right_cancel
0.000017     6149 cancel_monoid.one
0.000016     6150 cancel_monoid.one_mul
0.000016     6151 cancel_monoid.mul_one
0.000017     6152 cancel_monoid.to_right_cancel_monoid
0.000016     6153 cancel_comm_monoid
0.000016     6154 cancel_comm_monoid.mul
0.000017     6155 cancel_comm_monoid.mul_assoc
0.000016     6156 cancel_comm_monoid.mul_left_cancel
0.000017     6157 cancel_comm_monoid.one
0.000016     6158 cancel_comm_monoid.one_mul
0.000016     6159 cancel_comm_monoid.mul_one
0.000017     6160 left_cancel_semigroup
0.000016     6161 left_cancel_semigroup.mul
0.000016     6162 left_cancel_semigroup.mul_assoc
0.000017     6163 left_cancel_semigroup.to_semigroup
0.140713     6164 left_cancel_semigroup.mul_left_cancel
0.000089     6165 mul_left_cancel
0.000024     6166 left_cancel_monoid
0.000014     6167 left_cancel_monoid.mul
0.000015     6168 left_cancel_monoid.mul_assoc
0.000014     6169 left_cancel_monoid.mul_left_cancel
0.000014     6170 left_cancel_monoid.to_left_cancel_semigroup
0.000014     6171 cancel_comm_monoid.to_left_cancel_monoid
0.000014     6172 cancel_comm_monoid.mul_comm
0.000015     6173 cancel_comm_monoid.to_comm_monoid
0.000016     6174 cancel_comm_monoid.to_cancel_monoid._proof_1
0.000026     6175 cancel_comm_monoid.to_cancel_monoid
0.000019     6176 linear_ordered_cancel_comm_monoid
0.000015     6177 order_dual.linear_order._proof_1
0.000019     6178 order_dual.linear_order._proof_2
0.000017     6179 order_dual.linear_order._proof_3
0.000017     6180 order_dual.linear_order._proof_4
0.000016     6181 order_dual.linear_order._proof_5
0.000015     6182 order_dual.linear_order._proof_6
0.000014     6183 order_dual.linear_order._proof_7
0.000017     6184 order_dual.linear_order._proof_8
0.000018     6185 order_dual.linear_order._proof_9
0.000017     6186 order_dual.linear_order
0.000016     6187 linear_ordered_comm_monoid.le_total
0.000016     6188 linear_ordered_comm_monoid.decidable_le
0.000015     6189 linear_ordered_comm_monoid.decidable_eq
0.000014     6190 linear_ordered_comm_monoid.decidable_lt
0.000017     6191 linear_ordered_comm_monoid.to_linear_order
0.000015     6192 linear_ordered_cancel_comm_monoid.le
0.000016     6193 linear_ordered_cancel_comm_monoid.lt
0.000017     6194 linear_ordered_cancel_comm_monoid.le_refl
0.000016     6195 linear_ordered_cancel_comm_monoid.le_trans
0.000017     6196 linear_ordered_cancel_comm_monoid.lt_iff_le_not_le
0.000016     6197 linear_ordered_cancel_comm_monoid.le_antisymm
0.000016     6198 linear_ordered_cancel_comm_monoid.le_total
0.000017     6199 linear_ordered_cancel_comm_monoid.decidable_le
0.000016     6200 linear_ordered_cancel_comm_monoid.decidable_eq
0.000015     6201 linear_ordered_cancel_comm_monoid.decidable_lt
0.000014     6202 linear_ordered_cancel_comm_monoid.mul
0.000014     6203 linear_ordered_cancel_comm_monoid.mul_assoc
0.000016     6204 linear_ordered_cancel_comm_monoid.one
0.000016     6205 linear_ordered_cancel_comm_monoid.one_mul
0.000017     6206 linear_ordered_cancel_comm_monoid.mul_one
0.000017     6207 linear_ordered_cancel_comm_monoid.mul_comm
0.000017     6208 linear_ordered_cancel_comm_monoid.mul_left_cancel
0.000026     6209 linear_ordered_cancel_comm_monoid.mul_le_mul_left
0.000019     6210 linear_ordered_cancel_comm_monoid.lt_of_mul_lt_mul_left
0.000017     6211 linear_ordered_cancel_comm_monoid.to_linear_ordered_comm_monoid
0.000016     6212 order_dual.linear_ordered_cancel_comm_monoid._proof_7
0.000017     6213 norm_cast.label
0.000017     6214 norm_cast.label.move.inj
0.000016     6215 norm_cast.label.move.inj_arrow
0.000016     6216 filter.prod
0.000017     6217 filter.tendsto_inf
0.000016     6218 filter.tendsto.prod_mk
0.000017     6219 pgame
0.000016     6220 pgame.short
0.000017     6221 pgame.short.rec_on
0.000016     6222 tactic.tfae.arrow
0.000016     6223 tactic.tfae.arrow.sizeof
0.000017     6224 tactic.tfae.arrow.left.sizeof_spec
0.000016     6225 local_equiv
0.000016     6226 local_equiv.source
0.000017     6227 local_equiv.target
0.000016     6228 nhds_within
0.000017     6229 continuous_within_at
0.000017     6230 continuous_on
0.000016     6231 local_equiv.to_fun
0.000017     6232 local_equiv.inv_fun
0.000016     6233 local_homeomorph
0.000017     6234 local_homeomorph.to_local_equiv
0.000016     6235 charted_space
0.000016     6236 singleton_charted_space._proof_1
0.000017     6237 singleton_charted_space._proof_2
0.000016     6238 singleton_charted_space
0.000017     6239 singleton_charted_space.equations._eqn_1
0.000016     6240 superset
0.000017     6241 filter.ne_bot
0.000017     6242 cluster_pt
0.000016     6243 is_compact
0.000017     6244 boolean_algebra.to_core
0.000016     6245 is_closed
0.000016     6246 set.nonempty.mono
0.000016     6247 set.subset_Inter
0.000017     6248 set.Inter_subset
0.000016     6249 set.Inter_subset_of_subset
0.000017     6250 set.Inter_subset_Inter
0.000016     6251 set.mem_compl_eq
0.000016     6252 is_compl
0.000017     6253 sup_of_le_right
0.000017     6254 bot_sup_eq
0.000026     6255 inf_le_inf
0.000019     6256 inf_le_inf_left
0.000017     6257 inf_eq_bot_iff_le_compl
0.000016     6258 is_compl.top_le_sup
0.000017     6259 is_compl.sup_eq_top
0.000017     6260 disjoint.eq_bot
0.000016     6261 is_compl.inf_le_bot
0.000017     6262 is_compl.disjoint
0.000016     6263 is_compl.inf_eq_bot
0.000017     6264 is_compl.inf_left_eq_bot_iff
0.000016     6265 is_compl.disjoint_left_iff
0.000017     6266 is_compl.symm
0.000016     6267 is_compl.disjoint_right_iff
0.000016     6268 is_compl.le_left_iff
0.000017     6269 order_dual.bounded_distrib_lattice._proof_1
0.000017     6270 order_dual.bounded_distrib_lattice._proof_2
0.000016     6271 order_dual.bounded_distrib_lattice._proof_3
0.542785     6272 order_dual.bounded_distrib_lattice._proof_4
0.000093     6273 order_dual.bounded_distrib_lattice._proof_5
0.000024     6274 order_dual.bounded_distrib_lattice._proof_6
0.000015     6275 order_dual.bounded_distrib_lattice._proof_7
0.000014     6276 order_dual.bounded_distrib_lattice._proof_8
0.000014     6277 order_dual.bounded_distrib_lattice._proof_9
0.000015     6278 order_dual.bounded_distrib_lattice._proof_10
0.000014     6279 order_dual.distrib_lattice._proof_1
0.000014     6280 order_dual.distrib_lattice._proof_2
0.000017     6281 order_dual.distrib_lattice._proof_3
0.000014     6282 order_dual.distrib_lattice._proof_4
0.000017     6283 order_dual.distrib_lattice._proof_5
0.000017     6284 order_dual.distrib_lattice._proof_6
0.000015     6285 order_dual.distrib_lattice._proof_7
0.000014     6286 order_dual.distrib_lattice._proof_8
0.000017     6287 order_dual.distrib_lattice._proof_9
0.000018     6288 order_dual.distrib_lattice._proof_10
0.000017     6289 order_dual.distrib_lattice._proof_11
0.000015     6290 order_dual.distrib_lattice
0.000014     6291 order_dual.bounded_distrib_lattice._proof_11
0.000026     6292 order_dual.bounded_distrib_lattice._proof_12
0.000017     6293 order_dual.bounded_distrib_lattice._proof_13
0.000015     6294 order_dual.bounded_distrib_lattice
0.000017     6295 is_compl.to_order_dual
0.000015     6296 is_compl.left_le_iff
0.000015     6297 is_compl.right_le_iff
0.000018     6298 is_compl.antimono
0.000015     6299 is_compl.right_unique
0.000016     6300 is_compl.of_eq
0.000017     6301 is_compl_compl
0.000017     6302 is_compl.compl_eq
0.000014     6303 semilattice_sup_top.to_semilattice_sup
0.000015     6304 semilattice_sup_top.top
0.000016     6305 semilattice_sup_top.le_top
0.000015     6306 semilattice_sup_top.to_order_top
0.000016     6307 sup_of_le_left
0.000015     6308 top_sup_eq
0.000016     6309 semilattice_sup_top_of_bounded_lattice._proof_1
0.000017     6310 semilattice_sup_top_of_bounded_lattice
0.000016     6311 is_compl_top_bot
0.000017     6312 compl_top
0.000016     6313 set.compl_univ
0.000017     6314 compl_compl
0.000017     6315 compl_le_compl
0.000016     6316 compl_le_compl_iff_le
0.000017     6317 set.compl_subset_compl
0.000016     6318 inf_sup_right
0.000017     6319 sup_left_comm
0.000016     6320 inf_left_comm
0.000016     6321 sup_top_eq
0.000016     6322 top_inf_eq
0.000017     6323 is_compl.sup_inf
0.000016     6324 is_compl.inf_sup
0.000017     6325 compl_inf
0.000016     6326 set.compl_inter
0.000016     6327 push_neg.not_forall_eq
0.000017     6328 not_not_of_not_imp
0.000017     6329 decidable.of_not_imp
0.000016     6330 not_of_not_imp
0.000016     6331 not_imp_of_and_not
0.000017     6332 decidable.not_imp
0.000016     6333 not_imp
0.000016     6334 push_neg.not_implies_eq
0.000017     6335 set.nonempty.ne_empty
0.000016     6336 set.empty_not_nonempty
0.000017     6337 filter.mem_bot_sets
0.000016     6338 filter.empty_in_sets_eq_bot
0.000016     6339 filter.ne_bot.ne'
0.000025     6340 filter.nonempty_of_mem_sets
0.000022     6341 filter.forall_sets_nonempty_iff_ne_bot
0.000017     6342 filter.has_basis.forall_iff
0.000017     6343 filter.has_basis.ne_bot_iff
0.000016     6344 filter.bounded_distrib_lattice._proof_1
0.000017     6345 filter.bounded_distrib_lattice._proof_2
0.000017     6346 filter.bounded_distrib_lattice._proof_3
0.000016     6347 filter.bounded_distrib_lattice._proof_4
0.000017     6348 filter.bounded_distrib_lattice._proof_5
0.000016     6349 filter.bounded_distrib_lattice._proof_6
0.000017     6350 filter.bounded_distrib_lattice._proof_7
0.000016     6351 filter.bounded_distrib_lattice._proof_8
0.000016     6352 filter.bounded_distrib_lattice._proof_9
0.000017     6353 filter.bounded_distrib_lattice._proof_10
0.000016     6354 filter.mem_sup_sets
0.000017     6355 filter.mem_inf_sets
0.000016     6356 set.subset_union_left
0.000016     6357 set.subset_union_right
0.000017     6358 generalized_boolean_algebra.le_sup_inf
0.000016     6359 generalized_boolean_algebra.to_distrib_lattice
0.000017     6360 boolean_algebra.to_generalized_boolean_algebra
0.000016     6361 set.union_subset
0.000017     6362 filter.bounded_distrib_lattice._proof_11
0.000016     6363 filter.bounded_distrib_lattice._proof_12
0.000016     6364 filter.bounded_distrib_lattice._proof_13
0.000017     6365 filter.bounded_distrib_lattice
0.000016     6366 imp_and_distrib
0.000017     6367 set.subset_inter_iff
0.000016     6368 filter.inf_principal
0.000016     6369 set.inter_compl_self
0.000017     6370 filter.principal_empty
0.000016     6371 set.union_subset_iff
0.000017     6372 filter.sup_principal
0.000016     6373 em
0.000016     6374 set.union_compl_self
0.000017     6375 filter.principal_univ
0.000017     6376 filter.is_compl_principal
0.000016     6377 decidable.not_or_of_imp
0.000016     6378 or.neg_resolve_left
0.000017     6379 decidable.imp_iff_not_or
0.000016     6380 imp_iff_not_or
0.000017     6381 is_compl.le_right_iff
0.000016     6382 filter.mem_inf_principal
0.000017     6383 set.mem_inter_iff
0.000015     6384 filter.has_basis.inf_principal
0.270520     6385 filter.has_basis.inf_principal_ne_bot_iff
0.000093     6386 filter.inf_principal_ne_bot_iff
0.000025     6387 set.not_subset
0.000015     6388 set.inter_compl_nonempty_iff
0.000014     6389 filter.ne_bot_iff
0.000014     6390 filter.mem_iff_inf_principal_compl
0.000014     6391 filter.not_mem_iff_inf_principal_compl
0.000014     6392 is_compact.compl_mem_sets
0.000014     6393 is_compact.compl_mem_sets_of_nhds_within
0.000014     6394 is_compact.induction_on
0.000018     6395 mem_nhds_within_of_mem_nhds
0.000017     6396 mem_nhds_sets
0.000015     6397 is_compact.elim_directed_cover
0.000014     6398 finset.inhabited_finset
0.000018     6399 is_open_bUnion
0.000019     6400 supr_eq_supr_finset
0.000015     6401 set.Union_eq_Union_finset
0.000017     6402 directed_of_sup
0.000017     6403 finset.semilattice_sup_bot._proof_1
0.000014     6404 finset.semilattice_sup_bot._proof_2
0.000015     6405 finset.semilattice_sup_bot._proof_3
0.000015     6406 finset.semilattice_sup_bot._proof_4
0.000019     6407 finset.semilattice_sup_bot._proof_5
0.000014     6408 finset.semilattice_sup_bot._proof_6
0.000015     6409 finset.semilattice_sup_bot._proof_7
0.000014     6410 finset.semilattice_sup_bot._proof_8
0.000016     6411 finset.semilattice_sup_bot
0.000017     6412 set.bUnion_subset
0.000014     6413 set.subset_bUnion_of_mem
0.000014     6414 set.bUnion_subset_bUnion_left
0.000016     6415 is_compact.elim_finite_subcover
0.000018     6416 is_closed.is_open_compl
0.000015     6417 is_compact.elim_finite_subfamily_closed
0.000016     6418 is_open_compl_iff
0.000014     6419 cond._main
0.000014     6420 cond
0.000015     6421 set.mem_union_eq
0.000016     6422 bool.exists_bool
0.000015     6423 bool.cond_ff
0.000016     6424 bool.cond_tt
0.000028     6425 set.union_eq_Union
0.000019     6426 bool.forall_bool
0.000017     6427 is_open_union
0.000017     6428 is_closed_inter
0.000016     6429 set.inter_empty
0.000016     6430 is_trans
0.000016     6431 is_trans.trans
0.000017     6432 trans
0.000017     6433 directed.finset_le
0.000016     6434 trans_of
0.000017     6435 is_trans.swap
0.000016     6436 has_le.le.is_trans
0.000016     6437 ge.is_trans
0.000016     6438 set.subset_bInter
0.000017     6439 is_compact.nonempty_Inter_of_directed_nonempty_compact_closed
0.000016     6440 euclidean_domain.cases_on
0.000017     6441 euclidean_domain.no_confusion_type
0.000016     6442 euclidean_domain.no_confusion
0.000017     6443 euclidean_domain.mk.inj
0.000016     6444 euclidean_domain.mk.inj_arrow
0.000017     6445 has_norm
0.000016     6446 metric_space.to_pseudo_metric_space
0.000017     6447 has_norm.norm
0.000016     6448 normed_group
0.000016     6449 asymptotics.is_O_with
0.000016     6450 asymptotics.is_O
0.000016     6451 normed_field
0.000017     6452 normed_field.to_has_norm
0.000016     6453 normed_group.to_has_norm
0.000016     6454 real.linear_ordered_add_comm_group
0.000017     6455 real.pseudo_metric_space._proof_1
0.000016     6456 abs_sub
0.000016     6457 real.pseudo_metric_space._proof_2
0.000016     6458 abs_sub_le
0.000017     6459 real.pseudo_metric_space._proof_3
0.000016     6460 real.pseudo_metric_space._proof_4
0.000016     6461 real.pseudo_metric_space._proof_5
0.000016     6462 real.pseudo_metric_space._proof_6
0.000017     6463 real.pseudo_metric_space._proof_7
0.000016     6464 real.pseudo_metric_space._proof_8
0.000016     6465 real.pseudo_metric_space
0.000016     6466 real.metric_space._proof_1
0.000017     6467 real.metric_space
0.000016     6468 real.normed_group._proof_1
0.000017     6469 real.normed_group
0.000016     6470 normed_group.to_metric_space
0.000016     6471 normed_group.to_add_comm_group
0.000016     6472 normed_group.dist_eq
0.000017     6473 real.normed_field
0.000016     6474 asymptotics.is_O.equations._eqn_1
0.000017     6475 asymptotics.is_O_with.equations._eqn_1
0.000016     6476 semi_normed_group
0.000016     6477 semi_normed_group.to_has_norm
0.000017     6478 real.norm_of_nonneg
0.000016     6479 semi_normed_group.to_pseudo_metric_space
0.000015     6480 semi_normed_group.to_add_comm_group
0.000015     6481 semi_normed_group.dist_eq
0.000016     6482 dist_eq_norm
0.000017     6483 dist_zero_right
0.000016     6484 norm_nonneg
0.000016     6485 norm_norm
0.000016     6486 normed_group.to_semi_normed_group
0.000017     6487 asymptotics.is_O_with_norm_left
0.000016     6488 asymptotics.is_O_norm_left
0.000017     6489 asymptotics.is_O_with_norm_right
0.000016     6490 asymptotics.is_O_norm_right
0.000016     6491 asymptotics.is_O_norm_norm
0.000017     6492 normalization_monoid.norm_unit_zero
0.000016     6493 units.coe_one
0.000016     6494 normalize._proof_1
0.000017     6495 normalization_monoid.norm_unit_coe_units
0.000016     6496 norm_unit_one
0.000018     6497 normalize._proof_2
0.000016     6498 normalization_monoid.norm_unit_mul
0.000017     6499 normalize._proof_3
0.000016     6500 normalize
0.000016     6501 gcd_monoid
0.000017     6502 gcd_monoid.lcm
0.000016     6503 associated
0.000016     6504 associated.refl
0.000017     6505 associated_of_dvd_dvd
0.000016     6506 normalize_apply
0.000016     6507 normalize_eq_normalize
0.147118     6508 dvd_antisymm_of_normalize_eq
0.000086     6509 gcd_monoid.norm_unit
0.000023     6510 gcd_monoid.norm_unit_zero
0.000015     6511 gcd_monoid.norm_unit_mul
0.000014     6512 gcd_monoid.norm_unit_coe_units
0.000014     6513 gcd_monoid.to_normalization_monoid
0.000014     6514 normalize_zero
0.000015     6515 gcd_monoid.gcd
0.000014     6516 gcd_monoid.normalize_gcd
0.000018     6517 normalize_gcd
0.000018     6518 gcd_monoid.gcd_mul_lcm
0.000017     6519 gcd_mul_lcm
0.000016     6520 left_inv_eq_right_inv
0.000017     6521 group.mul_left_inv
0.000017     6522 mul_left_inv
0.000017     6523 inv_mul_self
0.000016     6524 inv_eq_of_mul_eq_one
0.000015     6525 inv_inv
0.000014     6526 eq_inv_of_mul_eq_one
0.000017     6527 mul_eq_one_iff_eq_inv
0.000014     6528 mul_inv_eq_one
0.000016     6529 norm_unit_mul_norm_unit
0.000016     6530 normalize_idem
0.000017     6531 gcd_monoid.gcd_dvd_right
0.000016     6532 gcd_monoid.gcd_dvd_left
0.000016     6533 gcd_eq_normalize
0.000017     6534 gcd_monoid.dvd_gcd
0.000016     6535 gcd_zero_left
0.000016     6536 gcd_eq_zero_iff
0.000017     6537 associated.symm
0.000016     6538 associated_zero_iff_eq_zero
0.000017     6539 associated_normalize
0.000017     6540 normalize_eq_zero
0.000016     6541 cancel_monoid_with_zero.to_no_zero_divisors
0.000016     6542 gcd_monoid.lcm_zero_left
0.000017     6543 gcd_monoid.lcm_zero_right
0.000016     6544 lcm_eq_zero_iff
0.000016     6545 normalize_lcm
0.000017     6546 eq_zero_of_zero_dvd
0.000016     6547 zero_dvd_iff
0.000016     6548 mul_dvd_mul_iff_left
0.000017     6549 dvd_trans
0.000016     6550 units.mul_right_dvd
0.000017     6551 normalize_dvd_iff
0.000015     6552 units.dvd_mul_right
0.000017     6553 dvd_normalize_iff
0.000016     6554 mul_dvd_mul
0.000017     6555 mul_dvd_mul_left
0.000016     6556 gcd_mul_left
0.000017     6557 gcd_mul_right
0.000016     6558 dvd_gcd_iff
0.000016     6559 mul_left_inj'
0.000017     6560 mul_dvd_mul_iff_right
0.000016     6561 lcm_dvd_iff
0.000016     6562 lcm_dvd
0.000016     6563 dvd_lcm_right
0.000017     6564 dvd_lcm_left
0.000016     6565 lcm_comm
0.000016     6566 gcd_monoid.lcm.is_commutative
0.000016     6567 dvd.trans
0.000017     6568 lcm_assoc
0.000016     6569 gcd_monoid.lcm.is_associative
0.000016     6570 finset.lcm
0.000016     6571 multiset.lcm
0.000017     6572 multiset.lcm_zero
0.000016     6573 is_unit
0.000016     6574 units.mul_inv_cancel_left
0.000017     6575 units.coe_dvd
0.000016     6576 is_unit.dvd
0.000017     6577 is_unit_one
0.000016     6578 multiset.lcm_cons
0.000017     6579 multiset.lcm_dvd
0.000025     6580 finset.lcm_dvd_iff
0.000016     6581 finset.lcm_dvd
0.000014     6582 finset.dvd_lcm
0.000015     6583 finset.lcm_mono_fun
0.000014     6584 finsupp
0.000017     6585 set.inj_on
0.000016     6586 finset.set.has_coe_t
0.000018     6587 finsupp.support
0.000016     6588 set.finite
0.000017     6589 list.pairwise_map
0.000016     6590 list.pairwise_map_of_pairwise
0.000015     6591 list.pairwise.iff_of_mem
0.000014     6592 list.pairwise.and_mem
0.000019     6593 list.nodup_map_on
0.000027     6594 multiset.nodup_map_on
0.000018     6595 multiset.nodup_map
0.000017     6596 set.to_finset._proof_1
0.000016     6597 set.to_finset
0.000017     6598 set.finite.fintype
0.000016     6599 set.finite.to_finset
0.000017     6600 set.finite_of_finite_image
0.000017     6601 and_iff_right_of_imp
0.000016     6602 and_iff_right_iff_imp
0.000016     6603 set.inter_eq_right_iff_subset
0.000017     6604 set.inter_eq_self_of_subset_right
0.000017     6605 set.fintype_subset._proof_1
0.000016     6606 quot.rec_on
0.000017     6607 list.pmap._main
0.000016     6608 list.pmap
0.000016     6609 list.pmap._main.equations._eqn_1
0.000017     6610 list.pmap.equations._eqn_1
0.000017     6611 list.pmap._main._proof_1
0.000016     6612 list.pmap._main._proof_2
0.000017     6613 list.pmap._main.equations._eqn_2
0.000016     6614 list.pmap.equations._eqn_2
0.000017     6615 list.perm.pmap
0.000016     6616 multiset.pmap._proof_1
0.000017     6617 multiset.pmap
0.000016     6618 fintype.subtype._proof_1
0.000017     6619 list.attach._proof_1
0.000016     6620 list.attach
0.000016     6621 list.attach.equations._eqn_1
0.000017     6622 list.map_pmap
0.000016     6623 list.pmap_congr
0.000016     6624 list.pmap_eq_map_attach
0.000017     6625 list.nodup_map
0.000017     6626 list.pmap_eq_map
0.000026     6627 id.def
0.000019     6628 list.map_id
0.000017     6629 list.attach_map_val
0.000017     6630 list.pairwise_of_pairwise_map
0.000017     6631 list.nodup_of_nodup_map
0.000016     6632 list.nodup_attach
0.000017     6633 list.nodup_pmap
0.000016     6634 multiset.nodup_pmap
0.000017     6635 fintype.subtype._proof_2
0.000016     6636 list.mem_attach
0.000017     6637 list.mem_pmap
0.000016     6638 multiset.mem_pmap
0.000017     6639 fintype.subtype._match_1
0.000016     6640 fintype.subtype._proof_3
0.000017     6641 fintype.subtype
0.000016     6642 fintype.of_finset
0.000017     6643 finset.filter._proof_1
0.000016     6644 finset.filter
0.000016     6645 finset.mem_filter
0.000017     6646 list.map_congr
0.000016     6647 multiset.map_congr
0.000016     6648 subtype.val_eq_coe
0.000016     6649 set.to_finset.equations._eqn_1
0.000017     6650 finset.mem_mk
0.000016     6651 finset.mem_univ_val
0.000017     6652 set.mem_to_finset
0.000016     6653 set.mem_sep_eq
0.150568     6654 set.fintype_sep._proof_1
0.000090     6655 set.fintype_sep
0.000023     6656 set.fintype_inter
0.000015     6657 set.fintype_subset
0.000014     6658 classical.dec_pred
0.000014     6659 set.finite.subset
0.000015     6660 set.image_subset_iff
0.000014     6661 set.image_preimage_subset
0.000022     6662 set.finite.preimage
0.000017     6663 set.finite_mem_finset
0.000015     6664 finset.finite_to_set
0.000014     6665 finset.preimage._proof_1
0.000014     6666 finset.preimage
0.000017     6667 finsupp.to_fun
0.000017     6668 finsupp.has_coe_to_fun
0.000014     6669 set.finite.mem_to_finset
0.000015     6670 finset.mem_preimage
0.000017     6671 finsupp.mem_support_to_fun
0.000015     6672 finsupp.comap_domain._proof_1
0.000014     6673 finsupp.comap_domain
0.000016     6674 finsupp.comap_domain.equations._eqn_1
0.000016     6675 int.add_neg_cancel_right
0.000017     6676 int.add_lt_add_left
0.000016     6677 int.add_lt_add_right
0.000016     6678 int.sub_left_lt_of_lt_add
0.000014     6679 equiv.perm
0.000014     6680 equiv.refl._proof_1
0.000018     6681 equiv.refl._proof_2
0.000014     6682 equiv.refl
0.000014     6683 function.left_inverse.comp
0.000018     6684 equiv.trans._proof_1
0.000016     6685 function.right_inverse.comp
0.000015     6686 equiv.trans._proof_2
0.000014     6687 equiv.trans
0.000017     6688 equiv_functor
0.000015     6689 equiv_functor.map
0.000018     6690 equiv.cases_on
0.000016     6691 equiv.no_confusion_type
0.000015     6692 equiv.no_confusion
0.000014     6693 equiv.mk.inj
0.000017     6694 equiv.mk.inj_eq
0.000014     6695 function.right_inverse.comp_eq_id
0.000016     6696 function.comp.right_id
0.000015     6697 function.comp.assoc
0.000014     6698 function.left_inverse.comp_eq_id
0.000014     6699 function.comp.left_id
0.000014     6700 function.left_inverse.eq_right_inverse
0.000016     6701 equiv.coe_fn_injective
0.000017     6702 equiv.ext
0.000017     6703 equiv.coe_trans
0.000016     6704 equiv.symm_apply_apply
0.000016     6705 equiv.symm_comp_self
0.000017     6706 equiv.coe_refl
0.000016     6707 equiv.trans_symm
0.000017     6708 equiv_functor.map_refl
0.000016     6709 equiv_functor.map_trans
0.000017     6710 equiv_functor.map_equiv._proof_1
0.000016     6711 equiv.apply_symm_apply
0.000016     6712 equiv.self_comp_symm
0.000017     6713 equiv.symm_trans
0.000016     6714 equiv_functor.map_equiv._proof_2
0.000017     6715 equiv_functor.map_equiv
0.000016     6716 functor
0.000016     6717 functor.map_const
0.000016     6718 functor.map
0.000017     6719 is_lawful_functor
0.000016     6720 is_lawful_functor.id_map
0.000017     6721 equiv_functor.of_is_lawful_functor._proof_1
0.000016     6722 is_lawful_functor.comp_map
0.000017     6723 equiv_functor.of_is_lawful_functor._proof_2
0.000017     6724 equiv_functor.of_is_lawful_functor
0.000016     6725 has_pure
0.000016     6726 has_seq
0.000017     6727 has_seq_left
0.000016     6728 has_seq_right
0.000017     6729 applicative
0.000016     6730 traversable
0.000016     6731 traversable.to_functor
0.000017     6732 applicative.to_functor
0.000016     6733 has_bind
0.000016     6734 monad
0.000017     6735 monad.to_applicative
0.000016     6736 option.monad
0.000016     6737 has_pure.pure
0.000016     6738 applicative.to_has_pure
0.000016     6739 option.traverse._main
0.000017     6740 option.traverse
0.000016     6741 option.traversable
0.000016     6742 traversable.traverse
0.000017     6743 id_bind
0.000016     6744 id.monad
0.000016     6745 id.mk
0.000017     6746 has_seq_left.seq_left
0.000016     6747 applicative.to_has_seq_left
0.000016     6748 has_seq.seq
0.000017     6749 applicative.to_has_seq
0.000016     6750 has_seq_right.seq_right
0.000016     6751 applicative.to_has_seq_right
0.000017     6752 is_lawful_applicative
0.000016     6753 functor.comp
0.000017     6754 functor.comp.mk
0.000016     6755 functor.comp.map._main
0.000016     6756 functor.comp.map
0.000016     6757 functor.comp.has_pure
0.000017     6758 functor.comp.seq._main
0.000016     6759 functor.comp.seq
0.000016     6760 functor.comp.applicative
0.000017     6761 applicative_transformation
0.000016     6762 applicative_transformation.app
0.000017     6763 applicative_transformation.has_coe_to_fun
0.000016     6764 is_lawful_traversable
0.000017     6765 is_lawful_traversable.to_is_lawful_functor
0.000016     6766 is_lawful_applicative.to_is_lawful_functor
0.000016     6767 has_bind.bind
0.000017     6768 monad.to_has_bind
0.000016     6769 is_lawful_monad
0.000017     6770 is_lawful_monad.to_is_lawful_applicative
0.000016     6771 option.is_lawful_monad
0.000016     6772 option.is_lawful_traversable._proof_1
0.000017     6773 option.id_traverse
0.000016     6774 is_lawful_applicative.map_pure
0.000017     6775 functor.comp.functor
0.000016     6776 functor.comp.map_mk
0.000016     6777 functor.map_map
0.000016     6778 option.comp_traverse
0.000017     6779 option.traverse_eq_map_id
0.000016     6780 applicative_transformation.preserves_pure'
0.000017     6781 applicative_transformation.preserves_pure
0.000016     6782 is_lawful_applicative.pure_seq_eq_map
0.000017     6783 applicative_transformation.preserves_seq'
0.000016     6784 applicative_transformation.preserves_seq
0.208938     6785 applicative_transformation.preserves_map
0.000094     6786 option.naturality
0.000023     6787 option.is_lawful_traversable
0.000015     6788 equiv.injective
0.000014     6789 option.not_is_some_iff_eq_none
0.000014     6790 _private.3310278691.remove_none_aux._proof_1
0.000016     6791 _private.3310278691.remove_none_aux
0.000014     6792 option.some_injective
0.000015     6793 _private.3310278691.remove_none_aux.equations._eqn_1
0.000014     6794 equiv.apply_eq_iff_eq
0.000014     6795 _private.1660657303.remove_none_aux_none
0.000015     6796 equiv.symm_apply_eq
0.000016     6797 equiv.eq_symm_apply
0.000017     6798 option.is_some._main.equations._eqn_1
0.000017     6799 option.is_some.equations._eqn_1
0.000017     6800 option.is_some._main.equations._eqn_2
0.000015     6801 option.is_some.equations._eqn_2
0.000014     6802 option.is_some_iff_exists
0.000016     6803 _private.77680175.remove_none_aux_some
0.000015     6804 _private.4171312357.remove_none_aux_inv
0.000017     6805 equiv.remove_none._proof_1
0.000017     6806 equiv.remove_none
0.000014     6807 equiv.trans_assoc
0.000014     6808 equiv.perm.perm_group._proof_1
0.000017     6809 equiv.trans_refl
0.000015     6810 equiv.refl_trans
0.000018     6811 equiv.perm.perm_group._proof_2
0.000017     6812 equiv.perm.perm_group._proof_3
0.000014     6813 equiv.perm.perm_group
0.000014     6814 equiv.swap_core
0.000017     6815 equiv.swap_core.equations._eqn_1
0.000018     6816 equiv.swap_core_swap_core
0.000017     6817 equiv.swap._proof_1
0.000016     6818 equiv.swap._proof_2
0.000017     6819 equiv.swap
0.000016     6820 equiv_functor.map_equiv_apply
0.000016     6821 equiv.perm.coe_mul
0.000017     6822 equiv.swap_core_self
0.000016     6823 equiv.swap_self
0.000016     6824 equiv.swap_apply_def
0.000017     6825 equiv.swap_apply_right
0.000016     6826 equiv.remove_none_none
0.000016     6827 equiv.swap_apply_left
0.000016     6828 equiv.remove_none_some
0.000017     6829 equiv.swap_apply_of_ne_of_ne
0.000016     6830 map_equiv_remove_none
0.000016     6831 quaternion_algebra
0.000017     6832 quaternion
0.000016     6833 complex
0.000016     6834 complex.re
0.000017     6835 complex.im
0.000016     6836 quaternion.has_coe
0.000016     6837 complex.has_coe
0.000017     6838 complex.has_one
0.000016     6839 quaternion_algebra.re
0.000016     6840 quaternion_algebra.im_i
0.000016     6841 quaternion_algebra.im_j
0.000017     6842 quaternion_algebra.im_k
0.000016     6843 quaternion_algebra.has_add
0.000016     6844 quaternion_algebra.cases_on
0.000017     6845 quaternion_algebra.ext
0.000016     6846 quaternion_algebra.has_add_add_re
0.000016     6847 tactic.ring_exp.add_pf_sum_lt
0.000017     6848 pow_one
0.000027     6849 tactic.ring_exp.atom_to_sum_pf
0.000014     6850 tactic.ring_exp.add_pf_z_sum
0.000014     6851 quaternion_algebra.has_add_add_im_i
0.000018     6852 quaternion_algebra.has_add_add_im_j
0.000017     6853 quaternion_algebra.has_add_add_im_k
0.000017     6854 quaternion_algebra.ring._proof_1
0.000016     6855 quaternion_algebra.has_zero
0.000017     6856 quaternion_algebra.has_zero_zero_re
0.000016     6857 quaternion_algebra.has_zero_zero_im_i
0.000017     6858 quaternion_algebra.has_zero_zero_im_j
0.000016     6859 quaternion_algebra.has_zero_zero_im_k
0.000016     6860 quaternion_algebra.ring._proof_2
0.000017     6861 quaternion_algebra.ring._proof_3
0.000016     6862 quaternion_algebra.has_neg
0.000016     6863 quaternion_algebra.has_sub
0.000017     6864 quaternion_algebra.has_sub_sub_re
0.000016     6865 quaternion_algebra.has_neg_neg_re
0.000016     6866 tactic.ring_exp.sub_pf
0.000017     6867 tactic.ring_exp.negate_pf
0.000016     6868 tactic.ring_exp.mul_pf_sum
0.000016     6869 tactic.ring_exp.add_pf_sum_z
0.000017     6870 tactic.ring_exp.mul_p_pf_sum
0.000016     6871 tactic.ring_exp.prod_to_sum_pf
0.000016     6872 tactic.ring_exp.mul_pf_c_prod
0.000017     6873 tactic.ring_exp.mul_pf_c_c
0.000016     6874 tactic.ring_exp.mul_coeff_pf_mul_one
0.000016     6875 tactic.ring_exp.mul_p_pf_zero
0.000016     6876 tactic.ring_exp.mul_pf_zero
0.000017     6877 quaternion_algebra.has_sub_sub_im_i
0.000016     6878 quaternion_algebra.has_neg_neg_im_i
0.000016     6879 quaternion_algebra.has_sub_sub_im_j
0.000016     6880 quaternion_algebra.has_neg_neg_im_j
0.000017     6881 quaternion_algebra.has_sub_sub_im_k
0.000016     6882 quaternion_algebra.has_neg_neg_im_k
0.000016     6883 quaternion_algebra.ring._proof_4
0.000016     6884 quaternion_algebra.ring._proof_5
0.000017     6885 tactic.ring_exp.add_pf_sum_gt
0.000014     6886 quaternion_algebra.ring._proof_6
0.000016     6887 quaternion_algebra.has_mul
0.000017     6888 quaternion_algebra.has_mul_mul_re
0.000016     6889 quaternion_algebra.has_mul_mul_im_i
0.000016     6890 quaternion_algebra.has_mul_mul_im_j
0.000017     6891 quaternion_algebra.has_mul_mul_im_k
0.000016     6892 tactic.ring_exp.mul_pp_pf_prod_lt
0.000017     6893 tactic.ring_exp.mul_coeff_pf_one_mul
0.000016     6894 tactic.ring_exp.mul_pp_pf_prod_gt
0.000016     6895 tactic.ring_exp.mul_pf_prod_c
0.428544     6896 norm_num.mul_neg_neg
0.000094     6897 quaternion_algebra.ring._proof_7
0.000025     6898 quaternion_algebra.has_one
0.000023     6899 quaternion_algebra.has_one_one_re
0.000018     6900 quaternion_algebra.has_one_one_im_i
0.000015     6901 quaternion_algebra.has_one_one_im_j
0.000015     6902 quaternion_algebra.has_one_one_im_k
0.000014     6903 quaternion_algebra.ring._proof_8
0.000014     6904 quaternion_algebra.ring._proof_9
0.000019     6905 quaternion_algebra.ring._proof_10
0.000017     6906 quaternion_algebra.ring._proof_11
0.000017     6907 quaternion_algebra.ring
0.000017     6908 quaternion.ring
0.000017     6909 quaternion.coe_complex_one
0.000015     6910 monoid_hom
0.000014     6911 pi.has_one
0.000017     6912 pi.has_mul
0.000018     6913 pi.mul_one_class._proof_1
0.000016     6914 pi.mul_one_class._proof_2
0.000017     6915 pi.mul_one_class
0.000016     6916 monoid_hom.apply._proof_1
0.000015     6917 monoid_hom.apply._proof_2
0.000014     6918 monoid_hom.apply
0.000016     6919 nat.mul_le_mul_right
0.000015     6920 fin_prod_fin_equiv._proof_1
0.000016     6921 fin_prod_fin_equiv._proof_2
0.000017     6922 fin_prod_fin_equiv._proof_3
0.000017     6923 fin_prod_fin_equiv._proof_4
0.000016     6924 prod.mk.eta
0.000017     6925 prod.no_confusion_type
0.000016     6926 prod.no_confusion
0.000020     6927 prod.mk.inj
0.000027     6928 eq_true_of_and_eq_true_right
0.000020     6929 and_eq_of_eq_true_right
0.000017     6930 prod.mk.inj_iff
0.000016     6931 prod.ext_iff
0.000017     6932 prod.ext
0.000016     6933 fin.eq_of_veq
0.000017     6934 fin_prod_fin_equiv._match_1
0.000016     6935 fin_prod_fin_equiv._proof_5
0.000017     6936 fin_prod_fin_equiv._proof_6
0.000017     6937 fin_prod_fin_equiv
0.000016     6938 fin_prod_fin_equiv.equations._eqn_1
0.000016     6939 list.sublists_aux._main
0.000017     6940 list.sublists_aux
0.000016     6941 multiset.powerset_aux
0.000017     6942 list.sublists'_aux._main
0.000016     6943 list.sublists'_aux
0.000016     6944 list.sublists'
0.000017     6945 multiset.powerset_aux'
0.000016     6946 list.sublists
0.000017     6947 multiset.powerset_aux.equations._eqn_1
0.000016     6948 list.sublists.equations._eqn_1
0.000017     6949 multiset.coe_nil_eq_zero
0.000016     6950 list.sublists_aux₁._main
0.000017     6951 list.sublists_aux₁
0.000017     6952 list.sublists_aux₁._main.equations._eqn_2
0.000016     6953 list.sublists_aux₁.equations._eqn_2
0.000017     6954 list.sublists_aux._main.equations._eqn_2
0.000016     6955 list.sublists_aux.equations._eqn_2
0.000017     6956 list.sublists_aux₁_eq_sublists_aux
0.000016     6957 list.sublists_aux_cons_eq_sublists_aux₁
0.000017     6958 list.join._main
0.000016     6959 list.join
0.000017     6960 list.bind
0.000016     6961 list.ret
0.000017     6962 list.bind.equations._eqn_1
0.000016     6963 list.join._main.equations._eqn_1
0.000017     6964 list.join.equations._eqn_1
0.000016     6965 list.join._main.equations._eqn_2
0.000017     6966 list.join.equations._eqn_2
0.000016     6967 list.bind_ret_eq_map
0.000017     6968 list.cons_bind
0.000016     6969 list.append_bind
0.000016     6970 list.bind_append
0.000017     6971 list.sublists_aux₁_bind
0.000017     6972 multiset.powerset_aux_eq_map_coe
0.000016     6973 list.sublists'.equations._eqn_1
0.000016     6974 list.sublists'_aux._main.equations._eqn_2
0.000017     6975 list.sublists'_aux.equations._eqn_2
0.000016     6976 list.map_sublists'_aux
0.000017     6977 list.sublists'_aux_append
0.000016     6978 list.sublists'_aux_eq_sublists'
0.000015     6979 list.sublists'_cons
0.000014     6980 list.sublists_aux_eq_foldr.aux
0.000016     6981 list.sublists_aux_eq_foldr
0.000017     6982 list.sublists_aux_cons_cons
0.000016     6983 list.foldr_nil
0.000016     6984 list.map_nil
0.000017     6985 list.sublists_cons_perm_append
0.000017     6986 list.sublists_perm_sublists'
0.000016     6987 multiset.powerset_aux_perm_powerset_aux'
0.000016     6988 multiset.powerset_aux'_nil
0.000017     6989 multiset.powerset_aux'.equations._eqn_1
0.000016     6990 list.map_map
0.000016     6991 multiset.powerset_aux'_cons
0.000017     6992 multiset.cons_swap
0.000016     6993 multiset.cons_inj_right
0.000017     6994 multiset.powerset_aux'_perm
0.000016     6995 multiset.powerset_aux_perm
0.000016     6996 multiset.powerset._proof_1
0.000017     6997 multiset.powerset
0.000016     6998 multiset.quot_mk_to_coe
0.000016     6999 multiset.powerset_coe'
0.000017     7000 multiset.mem_coe
0.000016     7001 list.sublists'_nil
0.000017     7002 list.eq_of_mem_singleton
0.000016     7003 list.mem_singleton
0.000017     7004 list.mem_sublists'
0.000017     7005 list.subperm.equations._eqn_1
0.000016     7006 list.inhabited
0.000016     7007 multiset.mem_powerset
0.000017     7008 finset.powerset._proof_1
0.000016     7009 multiset.nodup_of_nodup_map
0.000017     7010 multiset.coe_map
0.000016     7011 multiset.powerset_coe
0.000017     7012 list.sublist.map
0.000016     7013 list.reverse_rec_on._proof_1
0.000017     7014 list.reverse_rec_on._proof_2
0.000016     7015 list.reverse_rec_on
0.000017     7016 list.monad
0.000016     7017 list.traverse._main
0.161668     7018 list.traverse
0.000091     7019 list.traversable
0.000024     7020 list.sublists_aux₁._main.equations._eqn_1
0.000014     7021 list.sublists_aux₁.equations._eqn_1
0.000014     7022 list.sublists_aux₁_append
0.000014     7023 list.bind_eq_bind
0.000015     7024 list.sublists_aux_cons_append
0.000014     7025 list.map_eq_map
0.000014     7026 list.map_id'
0.000014     7027 list.sublists_append
0.000016     7028 list.sublists_singleton
0.000017     7029 list.nil_bind
0.000016     7030 list.sublists_concat
0.000017     7031 list.sublist_append_of_sublist_left
0.000016     7032 list.sublist.append_right
0.000016     7033 list.sublist.reverse
0.000015     7034 list.reverse_sublist_iff
0.000014     7035 list.sublists_reverse
0.000017     7036 list.sublists_eq_sublists'
0.000015     7037 list.sublists'_reverse
0.000018     7038 list.mem_map_of_injective
0.000016     7039 list.reverse_involutive
0.000016     7040 list.reverse_injective
0.000014     7041 list.mem_sublists
0.000014     7042 list.append_sublist_append_right
0.000018     7043 list.map_ret_sublist_sublists
0.000014     7044 multiset.map_single_le_powerset
0.000016     7045 multiset.coe_nodup
0.000017     7046 list.nodup.sublist_ext
0.000017     7047 list.sublists'_eq_sublists
0.000016     7048 list.nodup_map_iff
0.000016     7049 list.lex
0.000017     7050 list.reverse_inj
0.000016     7051 list.lex.dcases_on
0.000017     7052 list.lex.to_ne
0.000016     7053 list.pairwise_sublists'
0.000016     7054 list.mem_reverse
0.000017     7055 list.pairwise_reverse
0.000016     7056 list.pairwise_sublists
0.000017     7057 list.nodup_sublists
0.000016     7058 list.nodup_reverse
0.000016     7059 list.nodup_sublists'
0.000017     7060 multiset.nodup_powerset
0.000016     7061 finset.powerset._proof_2
0.000017     7062 finset.powerset
0.000016     7063 finset.has_decidable_eq._main
0.000017     7064 finset.has_decidable_eq
0.000016     7065 multiset.nodup_erase_of_nodup
0.000017     7066 finset.erase._proof_1
0.000017     7067 finset.erase
0.000016     7068 finset.powerset.equations._eqn_1
0.000016     7069 finset.no_confusion_type
0.000017     7070 finset.no_confusion
0.000016     7071 finset.mk.inj
0.000016     7072 finset.mk.inj_eq
0.000017     7073 finset.mem_powerset
0.000016     7074 list.nodup_erase_eq_filter
0.000016     7075 multiset.nodup_erase_eq_filter
0.000017     7076 multiset.mem_erase_iff_of_nodup
0.000016     7077 finset.mem_erase
0.000015     7078 finset.subset_insert_iff
0.000015     7079 dec_em
0.000016     7080 finset.insert_erase
0.000016     7081 multiset.erase_subset
0.000017     7082 finset.erase_subset
0.000016     7083 finset.erase_insert_subset
0.000016     7084 finset.erase_eq_of_not_mem
0.000016     7085 finset.ne_insert_of_not_mem
0.000017     7086 finset.powerset_insert
0.000016     7087 finset.prod_union_inter
0.000016     7088 finset.prod_union
0.000016     7089 finset.disjoint_iff_ne
0.000017     7090 finset.not_mem_of_mem_powerset_of_not_mem
0.000016     7091 list.pw_filter_eq_self
0.000016     7092 list.erase_dup_eq_self
0.000017     7093 multiset.erase_dup_eq_self
0.000016     7094 finset.image_val_of_inj_on
0.000016     7095 multiset.map_map
0.000017     7096 finset.fold_image
0.000016     7097 finset.prod_image
0.000017     7098 and.imp_right
0.000016     7099 and_or_distrib_left
0.000016     7100 and.elim
0.000016     7101 not_and_self
0.000017     7102 finset.erase_insert
0.000016     7103 finset.prod_powerset_insert
0.000016     7104 measurable_space
0.000017     7105 set.Ici
0.000016     7106 filter.at_top
0.000016     7107 has_sum
0.000017     7108 summable
0.000016     7109 tsum
0.000016     7110 topological_space.generate_open
0.000017     7111 topological_space.generate_from
0.000016     7112 preorder.topology
0.000017     7113 ennreal.topological_space
0.000016     7114 measure_theory.outer_measure
0.000017     7115 measurable_space.measurable_set'
0.000016     7116 measurable_set
0.000017     7117 pairwise
0.000016     7118 function.on_fun
0.000017     7119 measure_theory.outer_measure.measure_of
0.000016     7120 t2_space
0.000017     7121 filter.has_basis.inf
0.000016     7122 filter.has_basis.inf_basis_ne_bot_iff
0.000016     7123 filter.has_basis.inf_ne_bot_iff
0.000017     7124 filter.inf_ne_bot_iff
0.000016     7125 t2_space.t2
0.000017     7126 eq_of_nhds_ne_bot
0.000016     7127 ne_bot_of_le_ne_bot
0.000016     7128 filter.ne_bot.mono
0.000017     7129 filter.ne_bot_of_le
0.000016     7130 is_least.unique
0.000017     7131 is_lub.unique
0.000016     7132 set.ball_image_of_ball
0.000016     7133 monotone.mem_upper_bounds_image
0.000016     7134 galois_connection.upper_bounds_l_image_subset
0.000017     7135 galois_connection.is_lub_l_image
0.000016     7136 galois_connection.l_bot
0.000016     7137 filter.map_bot
0.000017     7138 filter.map_eq_bot_iff
0.000016     7139 filter.map_ne_bot_iff
0.000016     7140 filter.ne_bot.map
0.000017     7141 filter.map_ne_bot
0.000016     7142 tendsto_nhds_unique
0.000016     7143 filter.has_basis_infi_principal
0.000017     7144 set.mem_Ici
0.000016     7145 set.left_mem_Ici
0.000016     7146 set.Ici_subset_Ici
0.000017     7147 filter.at_top_basis
0.000016     7148 set.nonempty_Ici
0.000017     7149 filter.at_top_ne_bot
0.084621     7150 has_sum.unique
0.000070     7151 tsum.equations._eqn_1
0.000024     7152 summable.has_sum
0.000071     7153 has_sum.tsum_eq
0.000019     7154 has_sum.equations._eqn_1
0.000018     7155 all_mem_nhds
0.000017     7156 all_mem_nhds_filter
0.000017     7157 tendsto_nhds
0.000017     7158 tendsto_const_nhds
0.000016     7159 has_sum_zero
0.000015     7160 tsum_zero
0.000014     7161 t1_space
0.000018     7162 regular_space
0.000015     7163 set.singleton_subset_iff
0.000014     7164 set.eq_empty_of_subset_empty
0.000016     7165 regular_space.t2_space._match_1
0.000017     7166 regular_space.t2_space._match_2
0.000015     7167 regular_space.t2_space._match_3
0.000014     7168 regular_space.t2_space._match_4
0.000017     7169 regular_space.regular
0.000014     7170 t1_space.t1
0.000017     7171 is_closed_singleton
0.000016     7172 regular_space.to_t1_space
0.000015     7173 regular_space.t2_space
0.000014     7174 set.Iio
0.000017     7175 order_topology
0.000015     7176 is_open_iff_forall_mem_open
0.000016     7177 t2_space.t1_space._match_1
0.000016     7178 t2_separation
0.000016     7179 set.mem_singleton_of_eq
0.000026     7180 t2_space.t1_space
0.000018     7181 Prop.linear_order._proof_1
0.000016     7182 Prop.linear_order._proof_2
0.000015     7183 Prop.linear_order._proof_3
0.000015     7184 Prop.linear_order._proof_4
0.000016     7185 Prop.linear_order._proof_5
0.000016     7186 Prop.linear_order._proof_6
0.000031     7187 Prop.linear_order._proof_7
0.000022     7188 Prop.linear_order._proof_8
0.000014     7189 Prop.linear_order._proof_9
0.000014     7190 Prop.linear_order
0.000018     7191 tmp_order._proof_1
0.000017     7192 tmp_order._proof_2
0.000017     7193 tmp_order._proof_3
0.000015     7194 topological_space.cases_on
0.000014     7195 topological_space_eq
0.000019     7196 complete_lattice_Prop._proof_1
0.000019     7197 complete_lattice_Prop._proof_2
0.000017     7198 complete_lattice_Prop._proof_3
0.000014     7199 complete_lattice_Prop._proof_4
0.000015     7200 complete_lattice_Prop._proof_5
0.000017     7201 complete_lattice_Prop._proof_6
0.000015     7202 complete_lattice_Prop._proof_7
0.000017     7203 complete_lattice_Prop._proof_8
0.000016     7204 complete_lattice_Prop._proof_9
0.000015     7205 complete_lattice_Prop._proof_10
0.000014     7206 complete_lattice_Prop._proof_11
0.000018     7207 complete_lattice_Prop._proof_12
0.000018     7208 complete_lattice_Prop._proof_13
0.000017     7209 complete_lattice_Prop._match_1
0.000016     7210 complete_lattice_Prop._proof_14
0.000018     7211 complete_lattice_Prop._proof_15
0.000016     7212 complete_lattice_Prop._proof_16
0.000017     7213 complete_lattice_Prop
0.000016     7214 tmp_order._proof_4
0.000017     7215 tmp_order
0.000016     7216 mk_of_closure._proof_1
0.000017     7217 mk_of_closure._proof_2
0.000016     7218 mk_of_closure._proof_3
0.000017     7219 mk_of_closure
0.000016     7220 topological_space.generate_open.rec_on
0.000017     7221 _private.2036771085.generate_from_le_iff_subset_is_open
0.000016     7222 gi_generate_from._proof_1
0.000017     7223 gi_generate_from._proof_2
0.000016     7224 gi_generate_from._proof_3
0.000017     7225 mk_of_closure_sets
0.000017     7226 gi_generate_from._proof_4
0.000016     7227 gi_generate_from
0.000016     7228 tmp_complete_lattice
0.000017     7229 topological_space.complete_lattice
0.000017     7230 prod.topological_space
0.000017     7231 order_closed_topology
0.000016     7232 set.prod
0.000017     7233 order_closed_topology.to_t2_space._match_1
0.000016     7234 order_closed_topology.to_t2_space._match_2
0.000017     7235 filter.prod.equations._eqn_1
0.000016     7236 prod.topological_space.equations._eqn_1
0.000017     7237 is_greatest.unique
0.000016     7238 is_glb.unique
0.000017     7239 set.insert
0.000016     7240 set.has_insert
0.000017     7241 monotone.mem_lower_bounds_image
0.000016     7242 galois_connection.lower_bounds_u_image_subset
0.000017     7243 galois_connection.is_glb_u_image
0.000016     7244 set.insert_eq
0.000016     7245 is_lub.union
0.000017     7246 is_glb.union
0.000016     7247 is_least.is_glb
0.000017     7248 set.eq_of_mem_singleton
0.000016     7249 is_greatest_singleton
0.000016     7250 is_least_singleton
0.000017     7251 is_glb_singleton
0.000016     7252 is_glb.insert
0.000017     7253 is_glb_pair
0.000016     7254 set.mem_insert_iff
0.000016     7255 exists_or_distrib
0.000017     7256 set.image_insert_eq
0.000016     7257 set.set_of_eq_eq_singleton
0.000017     7258 set.image_singleton
0.000016     7259 set.image_pair
0.000017     7260 galois_connection.u_inf
0.000016     7261 topological_space.nhds_adjoint._proof_1
0.000017     7262 topological_space.nhds_adjoint._match_1
0.000016     7263 topological_space.nhds_adjoint._proof_2
0.000016     7264 topological_space.nhds_adjoint._match_2
0.000016     7265 topological_space.nhds_adjoint._proof_3
0.000017     7266 topological_space.nhds_adjoint
0.000016     7267 topological_space.partial_order._proof_1
0.000017     7268 topological_space.partial_order._proof_2
0.000016     7269 topological_space.partial_order._proof_3
1.950270     7270 topological_space.partial_order._proof_4
0.000101     7271 topological_space.partial_order
0.000023     7272 supr_congr_Prop
0.000015     7273 infi_congr_Prop
0.000015     7274 le_nhds_iff
0.000015     7275 gc_nhds
0.000015     7276 nhds_inf
0.000014     7277 nhds_prod_eq
0.000015     7278 filter.has_basis.comap
0.000014     7279 filter.has_basis.prod
0.000014     7280 filter.has_basis.prod_nhds
0.000015     7281 prod.exists
0.000017     7282 is_open_prod_iff
0.000018     7283 order_closed_topology.is_closed_le'
0.000017     7284 continuous
0.000023     7285 set.preimage_compl
0.000017     7286 is_closed_compl_iff
0.000019     7287 is_open.is_closed_compl
0.000017     7288 continuous.is_open_preimage
0.000016     7289 continuous_def
0.000015     7290 continuous_iff_is_closed
0.000014     7291 topological_space.coinduced._proof_1
0.000017     7292 topological_space.coinduced._proof_2
0.000018     7293 set.preimage_sUnion
0.000017     7294 topological_space.coinduced._proof_3
0.000017     7295 topological_space.coinduced
0.000017     7296 continuous_iff_coinduced_le
0.000017     7297 continuous_inf_rng
0.000016     7298 continuous_induced_rng
0.000017     7299 continuous.prod_mk
0.000016     7300 is_closed_le_prod
0.000017     7301 is_closed_le
0.000016     7302 continuous_le_dom
0.000017     7303 continuous_inf_dom_right
0.000016     7304 continuous_induced_dom
0.000017     7305 continuous_snd
0.000016     7306 continuous_inf_dom_left
0.000017     7307 continuous_fst
0.000016     7308 _private.3308294669.is_closed_eq_aux
0.000017     7309 order_closed_topology.to_t2_space
0.000017     7310 order_topology.to_order_closed_topology._match_1
0.000016     7311 order_topology.to_order_closed_topology._match_2
0.000017     7312 order_topology.to_order_closed_topology._match_3
0.000016     7313 order_topology.topology_eq_generate_intervals
0.000017     7314 is_open_iff_generate_intervals
0.000016     7315 is_open_gt'
0.000017     7316 is_open_lt'
0.000016     7317 dense_or_discrete
0.000017     7318 order_separated
0.000016     7319 order_topology.to_order_closed_topology
0.000016     7320 ne_iff_lt_or_gt
0.000017     7321 nhds_within_union
0.000016     7322 order_topology.regular_space._match_5
0.000017     7323 set.Ico
0.000016     7324 filter.inf_principal_eq_bot
0.000017     7325 order_topology.regular_space._match_3
0.000016     7326 order_topology.regular_space._match_4
0.000018     7327 set.Ioc
0.000016     7328 set.dual_Ico
0.000017     7329 set.dual_Ioc
0.000017     7330 infi_le_infi_const
0.000016     7331 topological_space.generate_open.drec
0.000017     7332 topological_space.nhds_generate_from
0.000016     7333 le_binfi
0.000017     7334 nhds_eq_order
0.000017     7335 set.Iic
0.000016     7336 set.subset.rfl
0.000016     7337 set.inter_subset_inter_right
0.000017     7338 set.mem_Iic
0.000016     7339 set.right_mem_Iic
0.000017     7340 set.Iic_subset_Iio
0.000016     7341 max_lt
0.000017     7342 set.mem_Iio
0.000016     7343 order.preimage.equations._eqn_1
0.000017     7344 set.Ioi_subset_Ioi
0.000016     7345 set.Ioi_subset_Ioi_iff
0.000016     7346 le_sup_iff
0.000017     7347 is_total.swap
0.000016     7348 order_dual.is_total_le
0.000016     7349 inf_le_iff
0.000017     7350 min_le_iff
0.000016     7351 le_max_iff
0.000017     7352 exists_Ioc_subset_of_mem_nhds'
0.000016     7353 order_dual.topological_space
0.000016     7354 order_dual.order_topology
0.000017     7355 exists_Ico_subset_of_mem_nhds'
0.000016     7356 Exists.snd
0.000017     7357 exists_Ico_subset_of_mem_nhds
0.000016     7358 is_lub_Sup
0.000017     7359 is_lub.Sup_eq
0.000016     7360 Sup_empty
0.000017     7361 set.sUnion_empty
0.000016     7362 is_open_empty
0.000016     7363 nhds_within.equations._eqn_1
0.000017     7364 nhds_within_empty
0.000016     7365 order_topology.regular_space._match_6
0.000017     7366 order_topology.regular_space._match_1
0.000016     7367 order_topology.regular_space._match_2
0.000017     7368 exists_Ioc_subset_of_mem_nhds
0.000016     7369 order_topology.regular_space
0.000017     7370 ennreal.order_topology
0.000017     7371 ennreal.t2_space
0.000016     7372 nonpos_iff_eq_zero
0.000016     7373 measure_theory.outer_measure.of_function._proof_1
0.000017     7374 infi_le_infi2
0.000017     7375 measure_theory.outer_measure.of_function._proof_2
0.000015     7376 ennreal.not_top_le_coe
0.000016     7377 le_of_forall_le_of_dense
0.000017     7378 lt_add_iff_pos_right
0.000016     7379 nnreal.le_of_forall_pos_le_add
0.000017     7380 true_implies_iff
0.000016     7381 ennreal.le_of_forall_pos_le_add
0.000025     7382 encodable
0.000020     7383 nnreal.equations._eqn_1
0.000017     7384 nnreal.pseudo_metric_space._proof_1
0.000017     7385 pseudo_metric_space.induced._proof_1
0.000016     7386 pseudo_metric_space.induced._proof_2
0.000017     7387 pseudo_metric_space.induced._proof_3
0.000016     7388 pseudo_metric_space.induced._proof_4
0.000017     7389 metric.dist_mem_uniformity
0.000017     7390 pseudo_metric_space.induced._match_1
0.000017     7391 pseudo_metric_space.induced._proof_5
0.000016     7392 pseudo_metric_space.induced
0.000017     7393 subtype.psudo_metric_space
0.000016     7394 nnreal.pseudo_metric_space
2.867855     7395 nnreal.topological_space
0.000089     7396 real.add_comm_monoid
0.000022     7397 real.monoid
0.000015     7398 encodable.encode
0.000014     7399 nontrivial_of_lt
0.000015     7400 pow_pos
0.000014     7401 uniform_continuous
0.000014     7402 uniform_space.of_core_eq._proof_1
0.000015     7403 uniform_space.of_core_eq
0.000014     7404 uniform_space.has_Inf._proof_1
0.000017     7405 uniform_space.has_Inf._proof_2
0.000017     7406 filter.lift_mono
0.000017     7407 filter.lift'_mono
0.000015     7408 uniform_space.has_Inf._proof_3
0.000014     7409 uniform_space.has_Inf
0.000018     7410 uniform_space.partial_order._proof_1
0.000015     7411 uniform_space.partial_order._proof_2
0.000018     7412 uniform_space.partial_order._proof_3
0.000017     7413 uniform_space.cases_on
0.000014     7414 uniform_space.mk'
0.000014     7415 iff_iff_eq
0.000017     7416 eq_iff_iff
0.000015     7417 uniform_space.core.cases_on
0.000014     7418 uniform_space.core_eq
0.000017     7419 uniform_space_eq
0.000017     7420 uniform_space.partial_order._proof_4
0.000014     7421 uniform_space.partial_order
0.000014     7422 uniform_space.complete_lattice._proof_1
0.000018     7423 uniform_space.complete_lattice._proof_2
0.000014     7424 uniform_space.complete_lattice._proof_3
0.000014     7425 uniform_space.complete_lattice._proof_4
0.000015     7426 _private.2310842403.le_Inf
0.000016     7427 uniform_space.complete_lattice._match_1
0.000016     7428 uniform_space.complete_lattice._proof_5
0.000017     7429 uniform_space.complete_lattice._match_2
0.000016     7430 uniform_space.complete_lattice._proof_6
0.000017     7431 _private.1067665711.Inf_le
0.000016     7432 uniform_space.complete_lattice._proof_7
0.000016     7433 uniform_space.complete_lattice._proof_8
0.000017     7434 uniform_space.complete_lattice._proof_9
0.000016     7435 uniform_space.complete_lattice._proof_10
0.000016     7436 uniform_space.has_top._proof_1
0.000016     7437 uniform_space.has_top._proof_2
0.000017     7438 uniform_space.has_top._proof_3
0.000016     7439 uniform_space.has_top
0.000016     7440 uniform_space.complete_lattice._proof_11
0.000016     7441 uniform_space.has_bot._proof_1
0.000017     7442 filter.map_principal
0.000016     7443 set.image_subset_preimage_of_inverse
0.000017     7444 set.preimage_subset_image_of_inverse
0.000016     7445 set.image_eq_preimage_of_inverse
0.000016     7446 prod.swap_swap
0.000016     7447 prod.swap_left_inverse
0.000016     7448 prod.swap_right_inverse
0.000017     7449 set.image_swap_eq_preimage_swap
0.000016     7450 prod.swap_prod_mk
0.000016     7451 swap_id_rel
0.000017     7452 uniform_space.has_bot._proof_2
0.000016     7453 filter.lift_principal
0.000017     7454 filter.lift'_principal
0.000016     7455 mem_comp_rel
0.000016     7456 id_comp_rel
0.000016     7457 uniform_space.has_bot._proof_3
0.000017     7458 is_open_fold
0.000016     7459 discrete_topology
0.000017     7460 discrete_topology.eq_bot
0.000016     7461 is_open_discrete
0.000017     7462 discrete_topology_bot
0.000016     7463 uniform_space.has_bot._proof_4
0.000016     7464 uniform_space.has_bot
0.000015     7465 uniform_space.complete_lattice._proof_12
0.000014     7466 uniform_space.complete_lattice._proof_13
0.000016     7467 uniform_space.complete_lattice._proof_14
0.000016     7468 uniform_space.complete_lattice._proof_15
0.000017     7469 uniform_space.complete_lattice._proof_16
0.000016     7470 uniform_space.complete_lattice
0.000017     7471 Sup_eq_supr
0.000016     7472 Inf_eq_infi
0.000016     7473 le_of_nhds_le_nhds
0.000017     7474 eq_of_nhds_eq_nhds
0.000016     7475 is_glb_Inf
0.000017     7476 is_glb.Inf_eq
0.000016     7477 is_glb.infi_eq
0.000016     7478 Inf_range
0.000017     7479 galois_connection.u_infi
0.000016     7480 nhds_infi
0.000017     7481 nhds_basis_uniformity'
0.000016     7482 nhds_eq_uniformity
0.000016     7483 infi_uniformity
0.000016     7484 plift
0.000016     7485 inf_is_commutative
0.000017     7486 finset.inf._proof_1
0.000016     7487 inf_is_associative
0.000017     7488 finset.inf._proof_2
0.000016     7489 finset.inf
0.000016     7490 plift.down
0.000016     7491 finset.sup_le
0.000017     7492 finset.sup_eq_supr
0.000016     7493 finset.inf_eq_infi
0.000016     7494 infi_eq_infi_finset
0.000017     7495 filter.infi_sets_eq_finite
0.000016     7496 plift.cases_on
0.000016     7497 plift.up_down
0.000017     7498 plift.down_up
0.000016     7499 equiv.plift
0.000025     7500 supr.equations._eqn_1
0.000016     7501 function.surjective.exists
0.000015     7502 function.surjective.range_comp
0.000017     7503 function.surjective.supr_comp
0.000014     7504 function.surjective.infi_comp
0.000017     7505 equiv.surjective
0.000016     7506 filter.infi_sets_eq_finite'
0.000017     7507 filter.mem_infi_finite'
0.000016     7508 function.injective.decidable_eq
0.000017     7509 equiv.decidable_eq
0.000016     7510 plift.decidable_eq
0.000016     7511 is_idempotent
0.000017     7512 finset.insert_idem
0.000016     7513 is_idempotent.idempotent
0.000017     7514 finset.fold_insert_idem
0.000016     7515 sup_idem
0.000017     7516 inf_idem
0.000016     7517 inf_is_idempotent
2.966112     7518 finset.inf_insert
0.000094     7519 filter.infi_sets_induct
0.000024     7520 le_of_inf_eq
0.000014     7521 and_iff_left_of_imp
0.000015     7522 and_iff_left_iff_imp
0.000014     7523 set.inter_eq_left_iff_subset
0.000015     7524 set.inter_eq_self_of_subset_left
0.000014     7525 filter.lift_infi
0.000014     7526 filter.principal_eq_iff_eq
0.000015     7527 filter.lift'_infi
0.000019     7528 infi_of_empty'
0.000017     7529 infi_of_empty
0.000015     7530 to_topological_space_top
0.000014     7531 to_topological_space_infi
0.000016     7532 to_topological_space_Inf
0.000018     7533 infi_or
0.000017     7534 infi_inf_eq
0.000014     7535 infi_union
0.000016     7536 infi_infi_eq_left
0.000017     7537 infi_insert
0.000017     7538 infi_singleton
0.000016     7539 infi_pair
0.000018     7540 to_topological_space_inf
0.000016     7541 to_topological_space_comap
0.000016     7542 uniform_space.core.to_topological_space.equations._eqn_1
0.000017     7543 uniform_space.to_core_to_topological_space
0.000017     7544 prod.uniform_space._proof_1
0.000017     7545 prod.uniform_space
0.000016     7546 uniform_add_group
0.000017     7547 cauchy
0.000016     7548 complete_space
0.000017     7549 set.indicator
0.000017     7550 set.piecewise
0.000016     7551 set.eq_on
0.000017     7552 set.comp_eq_of_eq_on_range
0.000017     7553 set.piecewise_eq_of_mem
0.000017     7554 set.piecewise_eq_on
0.000016     7555 set.piecewise_range_comp
0.000017     7556 set.indicator_range_comp
0.000018     7557 true.dcases_on
0.000017     7558 infi_true
0.000016     7559 filter.has_basis.eq_infi
0.000017     7560 filter.has_basis.map
0.000016     7561 filter.map_at_top_eq
0.000017     7562 finset.le_eq_subset
0.000017     7563 filter.map_at_top_finset_sum_le_of_sum_eq
0.000016     7564 set.inj_on_of_injective
0.000017     7565 function.injective.inj_on
0.000015     7566 finset.sum_image
0.000016     7567 classical.dec_eq
0.000017     7568 finset.sum_sdiff
0.000016     7569 finset.fold_congr
0.000017     7570 finset.sum_congr
0.000014     7571 finset.sum_subset
0.000014     7572 set.inj_on.equations._eqn_1
0.000017     7573 finset.coe_inj
0.000016     7574 set.mem_image_iff_bex
0.000015     7575 finset.coe_image
0.000014     7576 set.coe_to_finset
0.000018     7577 set.finite.coe_to_finset
0.000015     7578 finset.coe_preimage
0.000014     7579 set.image_preimage_eq_inter_range
0.000014     7580 finset.coe_filter
0.000016     7581 set.sep_mem_eq
0.000016     7582 finset.image_preimage
0.000018     7583 finset.sum_preimage'
0.000016     7584 multiset.filter_subset
0.000017     7585 finset.filter_subset
0.000016     7586 not_imp_comm
0.000016     7587 finset.sum_filter_of_ne
0.000016     7588 not.imp_symm
0.000017     7589 finset.sum_preimage
0.000016     7590 finset.coe_subset
0.000016     7591 finset.image_subset_iff
0.000016     7592 finset.image_subset_iff_subset_preimage
0.000016     7593 function.injective.map_at_top_finset_sum_eq
0.000017     7594 function.injective.has_sum_iff
0.000016     7595 function.injective.summable_iff
0.000016     7596 set.indicator_of_not_mem
0.000017     7597 cauchy_seq
0.000016     7598 complete_space.complete
0.000016     7599 filter.prod_mono
0.000017     7600 cauchy.mono
0.000016     7601 filter.has_pure._proof_1
0.000017     7602 filter.has_pure._proof_2
0.000016     7603 filter.has_pure
0.000021     7604 set.not_mem_empty
0.000023     7605 filter.pure_ne_bot
0.000018     7606 filter.mem_pure_sets
0.000016     7607 mem_of_nhds
0.000017     7608 pure_le_nhds
0.000016     7609 nhds_ne_bot
0.000017     7610 filter.lift.equations._eqn_1
0.000024     7611 filter.lift_inf
0.000016     7612 filter.le_lift
0.000018     7613 filter.lift_const
0.000024     7614 filter.mem_lift
0.000018     7615 filter.mem_principal_self
0.000017     7616 filter.lift_principal2
0.000016     7617 filter.prod_def
0.000017     7618 filter.functor
0.000016     7619 filter.lift_assoc
0.000017     7620 set.monotone_preimage
0.000016     7621 lift_nhds_left
0.000016     7622 set.preimage_id
0.000017     7623 filter.map_eq_comap_of_inverse
0.000016     7624 prod.swap_swap_eq
0.000017     7625 filter.map_swap_eq_comap_swap
0.000016     7626 uniformity_le_symm
0.000017     7627 uniformity_eq_symm
0.000016     7628 filter.map_lift_eq2
0.000016     7629 lift_nhds_right
0.000017     7630 filter.monotone_lift'
0.000016     7631 monotone_const
0.000017     7632 monotone_lam
0.000016     7633 set.prod_mono
0.000017     7634 set.monotone_prod
0.000016     7635 nhds_nhds_eq_uniformity_uniformity_prod
0.000017     7636 cauchy_nhds
0.000016     7637 cauchy_iff_exists_le_nhds
0.000017     7638 cauchy_map_iff_exists_tendsto
0.000016     7639 summable_iff_cauchy_seq_finset
0.000016     7640 prod.has_le
0.000017     7641 prod.preorder._match_1
0.000017     7642 prod.preorder._proof_1
0.000026     7643 prod.preorder._match_2
0.000019     7644 prod.preorder._match_3
0.000017     7645 prod.preorder._match_4
0.000017     7646 prod.preorder._match_5
0.000016     7647 prod.preorder._match_6
0.000017     7648 prod.preorder._proof_2
0.000016     7649 prod.preorder._proof_3
0.000017     7650 prod.preorder
0.000016     7651 cauchy_seq.equations._eqn_1
0.000017     7652 cauchy.equations._eqn_1
0.000017     7653 filter.inter_mem_inf_sets
0.000017     7654 filter.preimage_mem_comap
1.912401     7655 filter.prod_mem_prod
0.000093     7656 set.subset_preimage_image
0.000024     7657 filter.image_mem_map
0.000014     7658 set.mem_prod
0.000015     7659 exists_and_distrib_right
0.000014     7660 set.prod_image_image_eq
0.000015     7661 filter.mem_prod_iff
0.000014     7662 filter.tendsto_inf_left
0.000014     7663 filter.tendsto_fst
0.000015     7664 filter.tendsto_inf_right
0.000019     7665 filter.tendsto_snd
0.000017     7666 filter.prod_map_map_eq
0.000016     7667 cauchy_map_iff
0.000017     7668 filter.at_top.equations._eqn_1
0.000016     7669 filter.comap_infi
0.000015     7670 set.range_subset_iff
0.000027     7671 set.range_const_subset
0.000018     7672 set.range_const
0.000014     7673 Inf_singleton
0.000014     7674 infi_const
0.000019     7675 infi_inf
0.000015     7676 inf_infi
0.000014     7677 filter.prod_infi_right
0.000016     7678 filter.prod_infi_left
0.000017     7679 filter.prod_principal_principal
0.000015     7680 infi_prod
0.000014     7681 infi_comm
0.000018     7682 filter.filter_eq_bot_of_not_nonempty
0.000014     7683 nonempty_prod
0.000017     7684 filter.comap_bot
0.000016     7685 filter.bot_prod
0.000016     7686 filter.prod_bot
0.000017     7687 filter.prod_at_top_at_top_eq
0.000017     7688 filter.comap_comap
0.000016     7689 filter.mem_map_sets_iff
0.000017     7690 mem_map_sets_iff'
0.000016     7691 filter.tendsto_map'_iff
0.000017     7692 inf_uniformity
0.000016     7693 uniformity_prod
0.000016     7694 filter.comap_inf
0.000017     7695 uniformity_prod_eq_prod
0.000016     7696 uniform_continuous.equations._eqn_1
0.000016     7697 mem_uniformity_of_uniform_continuous_invariant
0.000017     7698 uniform_add_group.uniform_continuous_sub
0.000016     7699 uniform_continuous_sub
0.000017     7700 uniform_continuous.comp
0.000016     7701 uniform_continuous.prod_mk
0.000016     7702 uniform_continuous.sub
0.000017     7703 uniform_continuous_of_const
0.000016     7704 uniform_continuous_const
0.000017     7705 uniform_continuous.neg
0.000016     7706 uniform_continuous.add
0.000016     7707 tendsto_prod_uniformity_fst
0.000017     7708 uniform_continuous_fst
0.000016     7709 tendsto_prod_uniformity_snd
0.000017     7710 uniform_continuous_snd
0.000016     7711 uniform_continuous_add
0.000017     7712 uniformity_eq_comap_nhds_zero
0.000022     7713 prod.has_sup
0.000024     7714 prod.partial_order._proof_1
0.000017     7715 prod.partial_order._proof_2
0.000016     7716 prod.partial_order._proof_3
0.000017     7717 prod.partial_order._match_1
0.000016     7718 prod.partial_order._match_2
0.000016     7719 prod.partial_order._match_3
0.000017     7720 prod.partial_order._match_4
0.000016     7721 prod.partial_order._proof_4
0.000017     7722 prod.partial_order
0.000016     7723 prod.semilattice_sup._proof_1
0.000016     7724 prod.semilattice_sup._proof_2
0.000017     7725 prod.semilattice_sup._proof_3
0.000016     7726 prod.semilattice_sup._proof_4
0.000017     7727 prod.semilattice_sup._proof_5
0.000016     7728 prod.semilattice_sup._proof_6
0.000016     7729 prod.semilattice_sup._proof_7
0.000017     7730 prod.semilattice_sup
0.000016     7731 filter.tendsto_def
0.000016     7732 true.inhabited
0.000017     7733 filter.mem_at_top_sets
0.000016     7734 filter.tendsto_at_top'
0.000016     7735 prod.nonempty
0.000016     7736 disjoint.comm
0.000017     7737 disjoint.symm
0.000016     7738 has_continuous_add
0.000017     7739 topological_add_group
0.000017     7740 filter.has_basis.prod_self
0.000016     7741 filter.mem_prod_self_iff
0.000016     7742 set.mk_mem_prod
0.000017     7743 set.prod_subset_iff
0.000016     7744 continuous_at
0.000017     7745 filter.has_basis.ge_iff
0.000016     7746 filter.has_basis.tendsto_right_iff
0.000017     7747 filter.has_basis.eventually_iff
0.000016     7748 filter.has_basis.tendsto_iff
0.000017     7749 is_open.preimage
0.000016     7750 continuous.tendsto
0.000016     7751 continuous_iff_continuous_at
0.000017     7752 has_continuous_add.continuous_add
0.000017     7753 tendsto_add
0.000016     7754 filter.tendsto.prod_mk_nhds
0.000017     7755 filter.tendsto.add
0.000016     7756 continuous_at.add
0.000017     7757 topological_add_group.to_has_continuous_add
0.000016     7758 continuous.continuous_at
0.000017     7759 continuous_at_fst
0.000016     7760 topological_add_group.continuous_neg
0.000016     7761 filter.tendsto.neg
0.000016     7762 continuous_at_snd
0.000017     7763 exists_nhds_half_neg
0.000016     7764 coinduced_le_iff_le_induced
0.000017     7765 gc_coinduced_induced
0.000016     7766 continuous_iff_le_induced
0.000016     7767 to_nhds_mono
0.000017     7768 to_topological_space_mono
0.000017     7769 uniform_continuous_iff
0.000016     7770 uniform_continuous.continuous
0.000016     7771 filter.map_id
0.000016     7772 filter.tendsto_id'
0.000017     7773 filter.tendsto_id
0.000016     7774 uniform_continuous_id
0.000015     7775 uniform_continuous_neg
0.000016     7776 uniform_add_group.to_topological_add_group
0.000016     7777 cauchy_seq_finset_iff_vanishing
0.000017     7778 summable_iff_vanishing
0.000017     7779 finset.disjoint_of_subset_left
0.000026     7780 summable.summable_of_eq_zero_or_self
0.705234     7781 set.indicator_of_mem
0.000094     7782 set.indicator_eq_zero_or_self
0.000024     7783 summable.indicator
0.000024     7784 summable.comp_injective
0.000017     7785 uniform_add_group.mk'
0.000020     7786 prod.pseudo_metric_space_max._proof_1
0.000020     7787 prod.pseudo_metric_space_max._proof_2
0.000016     7788 prod.pseudo_metric_space_max._proof_3
0.000028     7789 monotone.map_max
0.000021     7790 max_le_max
0.000017     7791 nnreal.of_real_mono
0.000015     7792 nnreal.of_real_le_of_real
0.000014     7793 ennreal.of_real_le_of_real
0.000014     7794 prod.pseudo_metric_space_max._proof_4
0.000015     7795 set.preimage_set_of_eq
0.000016     7796 forall_3_true_iff
0.000017     7797 prod.pseudo_metric_space_max._proof_5
0.000023     7798 prod.pseudo_metric_space_max
0.000025     7799 filter.has_basis.uniform_continuous_iff
0.000019     7800 metric.uniform_continuous_iff
0.000018     7801 real.uniform_continuous_add
0.000017     7802 real.dist_eq
0.000015     7803 real.uniform_continuous_neg
0.000014     7804 real.uniform_add_group
0.000015     7805 set.countable
0.000014     7806 filter.is_countably_generated
0.000016     7807 filter.has_antimono_basis
0.000015     7808 filter.has_antimono_basis.decreasing
0.000017     7809 filter.has_antimono_basis.to_has_basis
0.000017     7810 exists_prop_of_true
0.000017     7811 exists_true_left
0.000017     7812 filter_basis
0.000016     7813 filter_basis.sets
0.000017     7814 filter.countable_filter_basis
0.000017     7815 set.sInter
0.000017     7816 set.fintype_empty._proof_1
0.000017     7817 set.fintype_empty
0.000016     7818 set.finite_empty
0.000017     7819 Inf_empty
0.000016     7820 set.sInter_empty
0.000017     7821 filter.filter_basis.of_sets._proof_1
0.000016     7822 set.fintype_union._proof_1
0.000017     7823 set.fintype_union
0.000017     7824 set.finite.union
0.000017     7825 Inf_union
0.000023     7826 set.sInter_union
0.000024     7827 filter.filter_basis.of_sets._proof_2
0.000017     7828 filter.filter_basis.of_sets
0.000017     7829 filter.is_countably_generated.generating_set
0.000016     7830 filter_basis.nonempty
0.000017     7831 filter.is_countably_generated.countable_filter_basis._proof_1
0.000017     7832 filter_basis.inter_sets
0.000017     7833 filter.is_countably_generated.countable_filter_basis._proof_2
0.000016     7834 encodable.decode
0.000017     7835 encodable.encodek
0.000016     7836 encodable.of_left_injection._proof_1
0.000017     7837 encodable.of_left_injection
0.000016     7838 function.partial_inv
0.000017     7839 function.is_partial_inv
0.000016     7840 option.some.inj_arrow
0.000017     7841 function.partial_inv.equations._eqn_1
0.000016     7842 function.partial_inv_of_injective
0.000017     7843 encodable.of_inj._proof_1
0.000017     7844 encodable.of_inj
0.000016     7845 set.countable.to_encodable
0.000017     7846 function.surj_inv
0.000017     7847 function.right_inverse.left_inverse
0.000016     7848 function.right_inverse.injective
0.000016     7849 function.surj_inv_eq
0.000017     7850 function.right_inverse_surj_inv
0.000017     7851 function.injective_surj_inv
0.000016     7852 set.countable.image
0.000017     7853 function.embedding
0.000016     7854 function.embedding.to_fun
0.000017     7855 set.embedding_of_subset._proof_1
0.000016     7856 set.embedding_of_subset._match_1
0.000026     7857 set.embedding_of_subset._match_2
0.000020     7858 set.embedding_of_subset._proof_2
0.000016     7859 set.embedding_of_subset
0.000017     7860 function.embedding.inj'
0.000017     7861 set.countable.mono
0.000016     7862 function.embedding.has_coe_to_fun
0.000017     7863 finset.map._proof_1
0.000017     7864 finset.map
0.000016     7865 finset.mem_map
0.000017     7866 set.embedding_of_subset_apply
0.000015     7867 subtype.mk.inj_eq
0.000014     7868 encodable.encode_subtype._main
0.000017     7869 encodable.encode_subtype
0.000016     7870 encodable.decode_subtype
0.000017     7871 encodable.encode_subtype._main.equations._eqn_1
0.000016     7872 encodable.encode_subtype.equations._eqn_1
0.000017     7873 encodable.decode_subtype.equations._eqn_1
0.000016     7874 encodable.subtype._match_1
0.000017     7875 encodable.subtype._proof_1
0.000016     7876 encodable.subtype
0.000017     7877 set.countable_encodable
0.000016     7878 set.countable_range
0.000016     7879 encodable.of_left_inverse._proof_1
0.000016     7880 encodable.of_left_inverse
0.000017     7881 encodable.of_equiv
0.000016     7882 nat.mkpair
0.000017     7883 encodable.encode_list._main
0.000016     7884 encodable.encode_list
0.000016     7885 encodable.decode_list._match_1
0.000017     7886 decode_list._main._pack._wf_rec_mk_dec_tactic._aux_1
0.000017     7887 nat.bodd_div2._match_1
0.000016     7888 nat.bodd_div2._main
0.000016     7889 nat.bodd_div2
0.000016     7890 nat.div2
0.000017     7891 nat.shiftr._main
0.000016     7892 nat.shiftr
0.000016     7893 nat.sqrt_aux._match_1
0.000017     7894 sqrt_aux._main._pack._wf_rec_mk_dec_tactic._aux_1
0.000016     7895 sqrt_aux._main._pack._wf_rec_mk_dec_tactic._aux_2
0.000016     7896 nat.bodd
0.000017     7897 bxor._main
0.000017     7898 bxor
0.130462     7899 band._main
0.000091     7900 band
0.000024     7901 nat.bodd_zero
0.000015     7902 bnot._main
0.000014     7903 bnot
0.000015     7904 nat.bodd.equations._eqn_1
0.000014     7905 nat.bodd_div2._main.equations._eqn_2
0.000014     7906 nat.bodd_div2.equations._eqn_2
0.000014     7907 nat.bodd_succ
0.000015     7908 nat.bodd_add
0.000016     7909 nat.bodd_mul
0.000017     7910 bnot._main.equations._eqn_1
0.000017     7911 bnot.equations._eqn_1
0.000016     7912 bnot._main.equations._eqn_2
0.000017     7913 bnot.equations._eqn_2
0.000014     7914 nat.mod_two_eq_zero_or_one
0.000014     7915 nat.mod_two_of_bodd
0.000017     7916 nat.div2.equations._eqn_1
0.000015     7917 nat.div2_succ
0.000017     7918 cond._main.equations._eqn_2
0.000017     7919 cond.equations._eqn_2
0.000020     7920 cond._main.equations._eqn_1
0.000024     7921 cond.equations._eqn_1
0.000016     7922 nat.bodd_add_div2
0.000015     7923 nat.div2_val
0.000016     7924 nat.mul_pos
0.000015     7925 nat.div_div_eq_div_mul
0.000015     7926 nat.shiftr_eq_div_pow
0.000014     7927 nat.le_div_iff_mul_le'
0.000015     7928 nat.div_lt_iff_lt_mul'
0.000014     7929 nat.sqrt_aux_dec
0.000016     7930 nat.sqrt_aux._main._pack
0.000018     7931 nat.sqrt_aux._main
0.000016     7932 nat.sqrt_aux
0.000016     7933 nat.bit
0.000017     7934 nat.shiftl'._main
0.000016     7935 nat.shiftl'
0.000017     7936 nat.shiftl
0.000017     7937 nat.sqrt._match_1
0.000016     7938 nat.bit0_val
0.000017     7939 nat.bit1_val
0.000017     7940 nat.bit_val
0.000016     7941 nat.bit_decomp
0.000017     7942 binary_rec._main._pack._wf_rec_mk_dec_tactic._aux_1
0.000017     7943 nat.binary_rec._main._pack
0.000016     7944 nat.binary_rec._main
0.000017     7945 nat.binary_rec
0.000016     7946 nat.size
0.000017     7947 nat.sqrt
0.000017     7948 nat.unpair
0.000016     7949 nat.mkpair.equations._eqn_1
0.000017     7950 nat.add_sub_cancel'
0.000016     7951 _private.1709157301.is_sqrt
0.000017     7952 nat.sqrt.equations._eqn_1
0.000017     7953 nat.sqrt._match_1.equations._eqn_1
0.000016     7954 nat.shiftl_eq_mul_pow
0.000017     7955 nat.one_shiftl
0.000016     7956 nat.size.equations._eqn_1
0.000017     7957 nat.binary_rec._main._pack._proof_1
0.000017     7958 nat.binary_rec._main._pack._proof_2
0.000016     7959 nat.binary_rec._main._pack.equations._eqn_1
0.000017     7960 nat.binary_rec._main.equations._eqn_1
0.000017     7961 nat.binary_rec.equations._eqn_1
0.000016     7962 cast
0.000017     7963 eq_mpr_eq_cast
0.000017     7964 cast_eq
0.000017     7965 nat.div2_bit
0.000016     7966 nat.size_bit
0.000017     7967 nat.shiftl_succ
0.000016     7968 nat.add_lt_add_right
0.000017     7969 nat.add_lt_add
0.000014     7970 nat.bit0_lt
0.000015     7971 nat.add_le_add
0.000016     7972 nat.bit1_lt_bit0
0.000017     7973 nat.bit_lt_bit0
0.000017     7974 nat.lt_size_self
0.000016     7975 nat.mul_le_mul_of_nonneg_right
0.000017     7976 nat.mul_le_mul_of_nonneg_left
0.000016     7977 nat.mul_le_mul
0.000017     7978 nat.pow_le_pow_of_le_right
0.000016     7979 lt_of_not_ge'
0.000017     7980 lt_imp_lt_of_le_imp_le
0.000016     7981 nat.bit0_le
0.000017     7982 nat.bit0_lt_bit1
0.000016     7983 nat.bit0_le_bit
0.000017     7984 nat.size_le
0.000017     7985 nat.lt_size
0.000016     7986 nat.size_pos
0.000017     7987 nat.size_eq_zero
0.000016     7988 _private.1709157301.is_sqrt.equations._eqn_1
0.000017     7989 nat.sqrt._match_1.equations._eqn_2
0.000016     7990 nat.sqrt_aux._main._pack.equations._eqn_1
0.000017     7991 nat.sqrt_aux._main.equations._eqn_1
0.000017     7992 nat.sqrt_aux.equations._eqn_1
0.000016     7993 int.eq_neg_succ_of_lt_zero
0.000017     7994 add_lt_add_iff_right
0.000016     7995 sub_lt_sub_iff_right
0.000017     7996 sub_lt_zero
0.000017     7997 nat.sqrt_aux._match_1.equations._eqn_2
0.000016     7998 nat.sqrt_aux_2
0.000016     7999 nat.mul_ne_zero
0.000017     8000 nat.le_sub_right_of_add_le
0.000017     8001 nat.le_sub_left_of_add_le
0.000016     8002 nat.lt_add_of_sub_lt_left
0.000017     8003 nat.sub_lt_left_iff_lt_add
0.000024     8004 nat.sub_lt_right_iff_lt_add
0.000022     8005 nat.distrib
0.000018     8006 nat.semigroup
0.000015     8007 nat.mul_div_cancel_left
0.000014     8008 nat.sqrt_aux._match_1.equations._eqn_1
0.000015     8009 nat.sqrt_aux_1
0.000014     8010 nat.sub_eq_of_eq_add
0.000015     8011 linear_ordered_comm_monoid_with_zero.zero
0.000014     8012 linear_ordered_comm_monoid_with_zero.zero_mul
0.000014     8013 linear_ordered_comm_monoid_with_zero.mul_zero
0.000014     8014 linear_ordered_comm_monoid_with_zero.to_comm_monoid_with_zero
0.000020     8015 nat.comm_cancel_monoid_with_zero._proof_1
0.000024     8016 nat.comm_cancel_monoid_with_zero._proof_2
0.000018     8017 nat.comm_cancel_monoid_with_zero._proof_3
0.000017     8018 nat.comm_cancel_monoid_with_zero._proof_4
0.000017     8019 nat.comm_cancel_monoid_with_zero._proof_5
0.000017     8020 nat.comm_cancel_monoid_with_zero._proof_6
0.000016     8021 nat.comm_cancel_monoid_with_zero._proof_7
0.000017     8022 nat.comm_cancel_monoid_with_zero._proof_8
0.000017     8023 nat.comm_cancel_monoid_with_zero
0.000017     8024 _private.3040141437.sqrt_aux_is_sqrt_lemma
0.191404     8025 nat.zero_shiftr
0.000092     8026 nat.sqrt_aux_0
0.000024     8027 nat.shiftr._main.equations._eqn_2
0.000015     8028 nat.shiftr.equations._eqn_2
0.000014     8029 nat.shiftr._main.equations._eqn_1
0.000015     8030 nat.shiftr.equations._eqn_1
0.000019     8031 nat.mul_div_right
0.000020     8032 _private.3238985493.sqrt_aux_is_sqrt
0.000015     8033 _private.2926172127.sqrt_is_sqrt
0.000017     8034 nat.sqrt_le
0.000017     8035 le_imp_le_of_lt_imp_lt
0.000017     8036 nat.lt_of_sub_lt_sub_right
0.000016     8037 nat.add_lt_of_lt_sub_right
0.000015     8038 nat.add_lt_of_lt_sub_left
0.000015     8039 nat.sub_le_left_of_le_add
0.000017     8040 nat.lt_succ_sqrt
0.000023     8041 nat.sqrt_le_add
0.000019     8042 nat.mkpair_unpair
0.000015     8043 nat.le_mul_self
0.000015     8044 nat.le_mkpair_right
0.000014     8045 nat.unpair_le_right
0.000017     8046 encodable.decode_list._main._pack
0.000015     8047 encodable.decode_list._main
0.000015     8048 encodable.decode_list
0.000016     8049 encodable.encode_list._main.equations._eqn_1
0.000018     8050 encodable.encode_list.equations._eqn_1
0.000017     8051 encodable.decode_list._main._pack.equations._eqn_1
0.000016     8052 encodable.decode_list._main.equations._eqn_1
0.000017     8053 encodable.decode_list.equations._eqn_1
0.000017     8054 nat.unpair.equations._eqn_1
0.000017     8055 nat.mul_self_le_mul_self
0.000016     8056 nat.mul_self_lt_mul_self
0.000017     8057 nat.mul_self_le_mul_self_iff
0.000016     8058 nat.mul_self_lt_mul_self_iff
0.000017     8059 nat.le_sqrt
0.000015     8060 nat.sqrt_lt
0.000014     8061 nat.sqrt_add_eq
0.000016     8062 nat.unpair_mkpair
0.000017     8063 encodable.encode_list._main.equations._eqn_2
0.000017     8064 encodable.encode_list.equations._eqn_2
0.000016     8065 encodable.decode_list._main._pack.equations._eqn_2
0.000017     8066 encodable.decode_list._main.equations._eqn_2
0.000016     8067 encodable.decode_list.equations._eqn_2
0.000017     8068 encodable.decode_list._match_1.equations._eqn_1
0.000025     8069 option.map_eq_map
0.000019     8070 option.seq_some
0.000017     8071 encodable.list._proof_1
0.000017     8072 encodable.list
0.000017     8073 is_antisymm
0.000017     8074 list.split._match_1
0.000016     8075 list.split._main
0.000017     8076 list.split
0.000016     8077 prod.mk.inj_arrow
0.000017     8078 list.split._main.equations._eqn_2
0.000016     8079 list.split.equations._eqn_2
0.000017     8080 list.split_cons_of_eq
0.000016     8081 list.length_split_le
0.000017     8082 list.length_split_lt
0.000016     8083 list.sizeof._main
0.000017     8084 list.sizeof
0.000016     8085 list.has_sizeof
0.000020     8086 default.sizeof._main
0.000023     8087 default.sizeof
0.000017     8088 default_has_sizeof
0.000016     8089 list.sizeof._main.equations._eqn_2
0.000017     8090 list.sizeof.equations._eqn_2
0.000016     8091 default.sizeof._main.equations._eqn_1
0.000016     8092 default.sizeof.equations._eqn_1
0.000017     8093 lt_add_iff_pos_left
0.000016     8094 merge._main._pack._wf_rec_mk_dec_tactic._aux_1
0.000016     8095 merge._main._pack._wf_rec_mk_dec_tactic._aux_2
0.000017     8096 list.merge._main._pack
0.000016     8097 list.merge._main
0.000017     8098 list.merge
0.000016     8099 list.merge_sort._main._pack
0.000016     8100 list.merge_sort._main
0.000017     8101 list.merge_sort
0.000016     8102 list.sorted
0.000026     8103 is_antisymm.antisymm
0.000018     8104 antisymm
0.000018     8105 list.length_singleton
0.000024     8106 list.eq_of_perm_of_sorted
0.000018     8107 list.merge_sort._main._pack._proof_1
0.000017     8108 list.merge_sort._main._pack.equations._eqn_3
0.000016     8109 list.merge_sort._main.equations._eqn_3
0.000017     8110 list.merge_sort.equations._eqn_3
0.000016     8111 list.merge_sort_cons_cons
0.000017     8112 list.merge._main._pack.equations._eqn_2
0.000016     8113 list.merge._main.equations._eqn_2
0.000017     8114 list.merge.equations._eqn_2
0.000016     8115 list.merge._main._pack.equations._eqn_3
0.000017     8116 list.merge._main.equations._eqn_3
0.000016     8117 list.merge.equations._eqn_3
0.000016     8118 list.merge._main._pack.equations._eqn_4
0.000017     8119 list.merge._main.equations._eqn_4
0.000017     8120 list.merge.equations._eqn_4
0.000016     8121 list.perm_merge
0.000016     8122 list.perm_split
0.000016     8123 list.perm_merge_sort
0.000017     8124 list.sorted_nil
0.000016     8125 list.sorted_singleton
0.000017     8126 list.sorted_cons
0.000016     8127 list.pairwise_of_pairwise_cons
0.000016     8128 list.sorted_of_sorted_cons
0.000017     8129 or.left_comm
0.000016     8130 list.rel_of_sorted_cons
0.000017     8131 list.sorted.merge
0.000016     8132 list.sorted_merge_sort
0.000017     8133 multiset.sort._proof_1
0.000016     8134 multiset.sort
0.000018     8135 _private.1338153985.enle
0.000016     8136 _private.1338153985.enle.equations._eqn_1
0.000016     8137 _private.1575116261.decidable_enle._proof_1
0.000017     8138 _private.1575116261.decidable_enle
0.000016     8139 is_refl
0.000017     8140 is_preorder
0.000016     8141 is_preorder.to_is_trans
0.074064     8142 is_partial_order
0.000075     8143 is_partial_order.to_is_preorder
0.000024     8144 is_linear_order
0.000015     8145 is_linear_order.to_is_partial_order
0.000014     8146 rel_embedding
0.000014     8147 is_preorder.to_is_refl
0.000014     8148 is_refl.refl
0.000015     8149 rel_embedding.to_embedding
0.000014     8150 rel_embedding.has_coe_to_fun
0.000014     8151 rel_embedding.map_rel_iff'
0.000018     8152 rel_embedding.map_rel_iff
0.000018     8153 refl
0.000017     8154 rel_embedding.is_refl
0.000015     8155 rel_embedding.cases_on
0.000014     8156 is_trans.dcases_on
0.000014     8157 rel_embedding.is_trans
0.000014     8158 rel_embedding.is_preorder
0.000014     8159 is_antisymm.dcases_on
0.000017     8160 rel_embedding.is_antisymm
0.000016     8161 is_partial_order.to_is_antisymm
0.000015     8162 rel_embedding.is_partial_order
0.000014     8163 is_total.dcases_on
0.000017     8164 rel_embedding.is_total
0.000015     8165 is_linear_order.to_is_total
0.000016     8166 rel_embedding.is_linear_order
0.000016     8167 encodable.encode_injective
0.000017     8168 rel_embedding.preimage._proof_1
0.000017     8169 rel_embedding.preimage
0.000017     8170 has_le.le.is_refl
0.000016     8171 has_le.le.is_antisymm
0.000017     8172 has_le.le.is_linear_order
0.000016     8173 _private.754898969.enle.is_linear_order
0.000017     8174 encodable.encode_multiset._proof_1
0.000016     8175 encodable.encode_multiset._proof_2
0.000017     8176 encodable.encode_multiset._proof_3
0.000016     8177 encodable.encode_multiset
0.000017     8178 encodable.decode_multiset
0.000017     8179 encodable.encode_multiset.equations._eqn_1
0.000016     8180 encodable.decode_multiset.equations._eqn_1
0.000017     8181 multiset.sort_eq
0.000016     8182 encodable.multiset._proof_1
0.000017     8183 encodable.multiset
0.000016     8184 multiset.nodup_decidable._proof_1
0.000017     8185 list.decidable_pairwise
0.000016     8186 list.nodup_decidable
0.000017     8187 multiset.nodup_decidable
0.000016     8188 encodable.decidable_eq_of_encodable._main
0.000017     8189 encodable.decidable_eq_of_encodable
0.000016     8190 encodable.finset._match_1
0.000017     8191 encodable.finset._match_2
0.000017     8192 encodable.finset._match_3
0.000016     8193 encodable.finset._proof_1
0.000017     8194 encodable.finset._match_4
0.000016     8195 encodable.finset._proof_2
0.000017     8196 encodable.finset
0.000016     8197 set.countable_set_of_finite_subset
0.000017     8198 filter.is_countably_generated.countable_generating_set
0.000016     8199 filter.is_countably_generated.countable_filter_basis._proof_3
0.000016     8200 filter.is_countably_generated.countable_filter_basis
0.000017     8201 filter.countable_filter_basis.to_filter_basis
0.000016     8202 filter.countable_filter_basis.countable
0.000017     8203 filter_basis.has_mem
0.000016     8204 filter_basis.filter._match_1
0.000016     8205 filter_basis.filter._proof_1
0.000017     8206 filter_basis.filter._match_2
0.000016     8207 filter_basis.filter._proof_2
0.000017     8208 filter_basis.filter._match_3
0.000016     8209 filter_basis.filter._match_4
0.000017     8210 filter_basis.filter._match_5
0.000016     8211 filter_basis.filter._proof_3
0.000017     8212 filter_basis.filter
0.000016     8213 filter.is_countably_generated.eq_generate
0.000017     8214 filter_basis.mem_filter_iff
0.000016     8215 filter_basis.mem_filter_of_mem
0.000017     8216 filter_basis.generate
0.000016     8217 filter.is_basis
0.000023     8218 filter.is_basis.filter_basis._match_1
0.000016     8219 filter.is_basis.nonempty
0.000014     8220 filter.is_basis.filter_basis._proof_1
0.000014     8221 filter.is_basis.inter
0.000017     8222 filter.is_basis.filter_basis._proof_2
0.000015     8223 filter.is_basis.filter_basis
0.000014     8224 filter.is_basis.filter
0.000018     8225 filter.has_basis.is_basis
0.000016     8226 filter.generate_sets.drec
0.000017     8227 unique
0.000017     8228 fintype.of_subsingleton._proof_1
0.000016     8229 fintype.of_subsingleton
0.000016     8230 unique.to_inhabited
0.000017     8231 unique.inhabited
0.000016     8232 subsingleton_of_forall_eq
0.000017     8233 unique.uniq
0.000016     8234 unique.eq_default
0.000017     8235 unique.subsingleton
0.000016     8236 unique.fintype
0.000016     8237 set.unique_singleton._match_1
0.000017     8238 set.unique_singleton._proof_1
0.000017     8239 set.unique_singleton
0.000016     8240 set.fintype_singleton
0.000016     8241 set.finite_singleton
0.000017     8242 set.sInter_singleton
0.000017     8243 set.univ.equations._eqn_1
0.000016     8244 multiset.attach._proof_1
0.000015     8245 multiset.attach
0.000016     8246 multiset.nodup_attach
0.000017     8247 finset.attach._proof_1
0.000016     8248 finset.attach
0.000017     8249 multiset.mem_attach
0.000016     8250 finset.mem_attach
0.000017     8251 finset.subtype.fintype
0.000016     8252 set.finite.induction_on
0.000017     8253 set.insert_subset
0.000016     8254 filter.mem_generate_iff
0.000017     8255 filter.has_basis_generate
0.000016     8256 filter.is_basis.mem_filter_basis_iff
0.926709     8257 filter.is_basis.mem_filter_iff
0.000092     8258 filter.has_basis.filter_eq
0.000023     8259 filter.generate_eq_generate_inter
0.000015     8260 filter.of_sets_filter_eq_generate
0.000014     8261 filter.is_countably_generated.filter_basis_filter
0.000014     8262 false_of_true_eq_false
0.000015     8263 filter_basis.nonempty_sets
0.000014     8264 filter_basis.eq_infi_principal
0.000014     8265 filter.is_countably_generated.exists_countable_infi_principal
0.000015     8266 infi_false
0.000014     8267 infi_top
0.000016     8268 infi_emptyset
0.000017     8269 is_glb_cInf
0.000017     8270 is_glb.cInf_eq
0.000016     8271 is_least.nonempty
0.000017     8272 is_least.cInf_eq
0.000014     8273 cInf_singleton
0.000014     8274 cinfi_const
0.000025     8275 option.iget._main
0.000017     8276 option.iget
0.000019     8277 option.iget_some
0.000015     8278 set.countable_iff_exists_surjective_to_subtype
0.000014     8279 filter.countable_binfi_eq_infi_seq
0.000014     8280 filter.countable_binfi_eq_infi_seq'
0.000019     8281 filter.countable_binfi_principal_eq_seq_infi
0.000016     8282 filter.is_countably_generated.exists_seq
0.000015     8283 Exists.some
0.000014     8284 filter.has_basis.index._proof_1
0.000017     8285 Exists.some_spec
0.000015     8286 filter.has_basis.index._proof_2
0.000017     8287 filter.has_basis.index
0.000017     8288 subtype.prop
0.000015     8289 subtype.coe_prop
0.000014     8290 filter.has_basis.property_index
0.000017     8291 filter.has_basis.set_index_mem
0.000015     8292 monotone_of_monotone_nat
0.000017     8293 filter.has_basis.set_index_subset
0.000073     8294 filter.is_countably_generated.exists_antimono_subbasis
0.000018     8295 filter.is_countably_generated.exists_antimono_basis
0.000015     8296 set.bInter_mono'
0.000014     8297 set.Iic_subset_Iic
0.000014     8298 infi_neg
0.000019     8299 set.Inter_neg
0.000015     8300 set.Inter_univ
0.000016     8301 set.bInter_union
0.000017     8302 set.bInter_singleton
0.000017     8303 set.bInter_insert
0.000016     8304 filter.inter_mem_sets_iff
0.000017     8305 filter.bInter_mem_sets
0.000016     8306 set.fintype_le_nat._proof_1
0.000017     8307 set.fintype_le_nat._proof_2
0.000016     8308 set.fintype_lt_nat._proof_1
0.000017     8309 set.fintype_lt_nat
0.000016     8310 set.fintype_le_nat
0.000017     8311 set.finite_le_nat
0.000016     8312 filter.antimono_seq_of_seq
0.000017     8313 encodable.nat._proof_1
0.000017     8314 encodable.nat
0.000016     8315 filter.is_basis.filter_eq_generate
0.000016     8316 filter.has_basis.eq_generate
0.000017     8317 filter.is_countably_generated_seq
0.000016     8318 filter.is_countably_generated_iff_exists_antimono_basis
0.000017     8319 filter.is_countably_generated.exists_antimono_seq'
0.000016     8320 filter.has_basis.le_basis_iff
0.000017     8321 set.mem_prod_eq
0.000016     8322 filter.has_basis.cauchy_iff
0.000017     8323 cauchy_iff
0.000016     8324 sequentially_complete.set_seq_aux._proof_1
0.000017     8325 sequentially_complete.set_seq_aux
0.000016     8326 sequentially_complete.set_seq
0.000016     8327 filter.ne_bot.nonempty_of_mem
0.000017     8328 sequentially_complete.set_seq_mem
0.000016     8329 sequentially_complete.seq._proof_1
0.000016     8330 sequentially_complete.seq
0.000017     8331 prod_mk_mem_comp_rel
0.000016     8332 le_nhds_of_cauchy_adhp_aux
0.000017     8333 set.bInter_subset_of_mem
0.000016     8334 sequentially_complete.set_seq_sub_aux
0.000017     8335 set.bInter_subset_bInter_left
0.000016     8336 sequentially_complete.set_seq_mono
0.000015     8337 sequentially_complete.set_seq_prod_subset
0.000014     8338 sequentially_complete.seq_mem
0.000014     8339 sequentially_complete.le_nhds_of_seq_tendsto_nhds
0.000016     8340 sequentially_complete.seq_pair_mem
0.000017     8341 uniform_space.complete_of_convergent_controlled_sequences
0.000016     8342 prod.map
0.000016     8343 cauchy_map_iff'
0.000017     8344 prod.map_fst
0.000016     8345 prod.map_snd
0.000017     8346 prod.map_def
0.000016     8347 cauchy_seq_iff_tendsto
0.000016     8348 cauchy_seq_of_controlled
0.000017     8349 uniform_space.complete_of_cauchy_seq_tendsto
0.000016     8350 filter.is_countably_generated_of_seq
0.000017     8351 ennreal.has_inv
0.000016     8352 emetric.mk_uniformity_basis
0.000017     8353 ennreal.top_mul
0.000016     8354 ennreal.inv_top
0.000017     8355 function.bijective
0.000016     8356 function.involutive.surjective
0.000017     8357 function.involutive.bijective
0.000016     8358 ennreal.top_ne_coe
0.000017     8359 ennreal.top_ne_zero
0.000016     8360 ennreal.coe_eq_zero
0.000016     8361 ennreal.inv_zero
0.000017     8362 with_top.coe_le_iff
0.000016     8363 ennreal.coe_le_iff
0.000016     8364 le_of_mul_le_mul_left
0.000016     8365 mul_le_mul_left
0.000017     8366 nnreal.inv_le
0.000016     8367 ennreal.coe_one
0.000017     8368 ennreal.coe_mul
0.000016     8369 ennreal.coe_inv
0.000016     8370 ennreal.inv_inv
0.000016     8371 ennreal.inv_involutive
0.000017     8372 ennreal.inv_bijective
0.000016     8373 ennreal.inv_eq_inv
0.000017     8374 ennreal.inv_eq_zero
1.825663     8375 ennreal.inv_ne_zero
0.000092     8376 ennreal.inv_pos
0.000024     8377 with_top.coe_one
0.000015     8378 with_top.coe_nat
0.000014     8379 with_top.nat_ne_top
0.000014     8380 ennreal.nat_ne_top
0.000015     8381 ennreal.not_lt_zero
0.000014     8382 or.symm
0.000015     8383 has_le.le.lt_or_eq
0.000014     8384 eq_or_lt_of_le
0.000018     8385 ennreal.inv_eq_top
0.000017     8386 inv_lt_inv
0.000017     8387 ennreal.inv_lt_inv
0.000016     8388 monoid_hom.to_fun
0.000017     8389 monoid_hom.has_coe_to_fun
0.000015     8390 monoid_hom.map_one'
0.000014     8391 monoid_hom.map_one
0.000017     8392 monoid_hom.map_mul'
0.000015     8393 monoid_hom.map_mul
0.000017     8394 monoid_hom.map_pow
0.000017     8395 add_monoid_hom.to_multiplicative._proof_1
0.000015     8396 add_monoid_hom.to_multiplicative._proof_2
0.000014     8397 add_monoid_hom.to_multiplicative._proof_3
0.000017     8398 monoid_hom.cases_on
0.000015     8399 monoid_hom.coe_inj
0.000017     8400 monoid_hom.ext
0.000017     8401 add_monoid_hom.to_multiplicative._proof_4
0.000015     8402 add_monoid_hom.to_multiplicative
0.000014     8403 add_monoid_hom.map_nsmul
0.000017     8404 nnreal.coe_one
0.000014     8405 nnreal.coe_mul
0.000017     8406 nnreal.to_real_hom
0.000017     8407 nnreal.nsmul_coe
0.000015     8408 nnreal.archimedean._match_1
0.000014     8409 nnreal.archimedean
0.000017     8410 ennreal.coe_nat
0.000015     8411 ennreal.coe_lt_coe_nat
0.000017     8412 ennreal.exists_nat_gt
0.000018     8413 ennreal.inv_ne_top
0.000016     8414 ennreal.exists_inv_nat_lt
0.000016     8415 uniformity_basis_edist_inv_nat
0.000017     8416 emetric.uniformity_has_countable_basis
0.000017     8417 emetric.complete_of_cauchy_seq_tendsto
0.000016     8418 metric.complete_of_cauchy_seq_tendsto
0.000016     8419 prod.map.equations._eqn_1
0.000017     8420 filter.has_basis.cauchy_seq_iff
0.000016     8421 symm_of_uniformity
0.000017     8422 comp_symm_of_uniformity
0.000016     8423 filter.has_basis.cauchy_seq_iff'
0.000016     8424 metric.cauchy_seq_iff'
0.000016     8425 cau_seq.is_complete
0.000017     8426 cau_seq.is_complete.is_complete
0.000016     8427 cau_seq.complete
0.000017     8428 cau_seq.lim
0.000016     8429 cau_seq.const_neg
0.000016     8430 cau_seq.exists_gt
0.000030     8431 cau_seq.exists_lt
0.000018     8432 sub_right_comm
0.000017     8433 real.add_comm_semigroup
0.000018     8434 real.cau_seq_converges
0.000019     8435 real.abs.cau_seq.is_complete
0.000018     8436 metric.ball
0.000015     8437 nhds_basis_uniformity
0.000014     8438 metric.nhds_basis_ball
0.000016     8439 metric.mem_nhds_iff
0.000017     8440 cau_seq.equiv_lim
0.000017     8441 real.complete_space
0.000016     8442 has_sum.summable
0.000016     8443 inv_pow'
0.000017     8444 norm_num.sub_pos
0.000016     8445 norm_num.add_pos_neg_pos
0.000017     8446 norm_num.clear_denom_add
0.000016     8447 bit0_pos
0.000017     8448 zero_lt_one'
0.000016     8449 norm_num.clear_denom_div
0.000016     8450 norm_num.one_succ
0.000017     8451 norm_num.inv_one_div
0.000016     8452 has_continuous_mul
0.000016     8453 topological_semiring
0.000017     8454 add_monoid_hom.mul_left._proof_1
0.000016     8455 add_monoid_hom.mul_left._proof_2
0.000017     8456 add_monoid_hom.mul_left
0.000017     8457 finset.sum_eq_multiset_sum
0.000016     8458 list.sum
0.000016     8459 multiset.sum_eq_foldl
0.000017     8460 multiset.coe_sum
0.000016     8461 list.sum.equations._eqn_1
0.000017     8462 list.foldl_map
0.000016     8463 list.foldl_hom
0.000017     8464 list.sum_hom
0.000016     8465 multiset.sum_hom
0.000017     8466 add_monoid_hom.map_multiset_sum
0.000016     8467 add_monoid_hom.map_sum
0.000017     8468 has_sum.map
0.000016     8469 continuous.comp
0.000017     8470 has_continuous_mul.continuous_mul
0.000016     8471 continuous_mul
0.000017     8472 continuous.mul
0.000016     8473 topological_semiring.to_has_continuous_mul
0.000017     8474 continuous_at_const
0.000016     8475 continuous_const
0.000017     8476 continuous_id
0.000017     8477 has_sum.mul_left
0.000016     8478 topological_ring
0.000017     8479 topological_ring.to_has_continuous_add
0.000017     8480 topological_ring.to_has_continuous_mul
0.000016     8481 topological_ring.to_topological_semiring
0.000017     8482 lt_sub_iff_add_lt
0.000016     8483 neg_add_lt_iff_lt_add_right
0.000016     8484 neg_lt_sub_iff_lt_add
0.000017     8485 abs_sub_lt_iff
0.000017     8486 sub_lt
0.000016     8487 set.set_of_and
0.000017     8488 set.mem_Ioi
0.000016     8489 set.Ioi.equations._eqn_1
0.000017     8490 sub_sub_cancel
0.000017     8491 set.Iio.equations._eqn_1
0.000016     8492 nhds_eq_infi_abs_sub
0.000017     8493 linear_ordered_add_comm_group.tendsto_nhds
0.000016     8494 set.nonempty.fst
0.000017     8495 set.nonempty.snd
0.000016     8496 set.nonempty.prod
0.000016     8497 set.prod_nonempty_iff
0.000017     8498 set.prod_eq_empty_iff
0.000017     8499 set.fst_image_prod_subset
0.000016     8500 set.fst_image_prod
0.000017     8501 set.mem_image_eq
0.000016     8502 eq_false_of_not_eq_true
0.000017     8503 or_eq_of_eq_false_right
0.000017     8504 not_eq_of_eq_true
0.000016     8505 auto.classical.implies_iff_not_or
0.000017     8506 auto.not_exists_eq
0.000017     8507 auto.not_and_eq
0.705088     8508 set.image_subset
0.000091     8509 set.snd_image_prod_subset
0.000023     8510 set.snd_image_prod
0.000015     8511 set.prod_subset_prod_iff
0.000014     8512 filter.prod_mem_prod_iff
0.000015     8513 prod_mem_nhds_iff
0.000014     8514 prod_mem_nhds_sets
0.000014     8515 eventually_abs_sub_lt
0.000014     8516 add_sub_comm
0.000014     8517 has_le.le.le_iff_eq
0.000017     8518 abs_nonpos_iff
0.000016     8519 filter.eventually.mp
0.000017     8520 filter.eventually_of_forall
0.000016     8521 filter.eventually.mono
0.000015     8522 linear_ordered_add_comm_group.topological_add_group
0.000014     8523 order_topology_of_nhds_abs
0.000018     8524 metric.ball.equations._eqn_1
0.000015     8525 real.order_topology
0.000014     8526 real.topological_add_group
0.000018     8527 subtype.uniform_space
0.000017     8528 subtype.topological_space
0.000016     8529 filter.range_mem_map
0.000015     8530 filter.map_comap
0.000014     8531 filter.map_comap_of_mem
0.000017     8532 map_nhds_induced_of_mem
0.000015     8533 map_nhds_subtype_coe_eq
0.000018     8534 filter.tendsto_map'
0.000016     8535 tendsto_of_uniform_continuous_subtype
0.000015     8536 real.uniform_continuous_mul
0.000014     8537 is_open.prod
0.000018     8538 closure
0.000014     8539 frontier
0.000017     8540 continuous_at.equations._eqn_1
0.000014     8541 continuous_on.equations._eqn_1
0.000014     8542 continuous_within_at.equations._eqn_1
0.000017     8543 nhds_within_univ
0.000016     8544 continuous_iff_continuous_on_univ
0.000017     8545 filter.tendsto.if
0.000017     8546 filter.tendsto.piecewise
0.000016     8547 nhds_within_inter'
0.000017     8548 filter.tendsto.piecewise_nhds_within
0.000016     8549 set.inter_univ
0.000017     8550 set.inter_union_distrib_left
0.000016     8551 is_greatest.is_lub
0.000016     8552 is_lub_singleton
0.000017     8553 is_lub.insert
0.000016     8554 is_lub_pair
0.000016     8555 galois_connection.l_sup
0.000017     8556 filter.map_sup
0.000016     8557 filter.tendsto_sup
0.000016     8558 continuous_within_at_union
0.000017     8559 continuous_within_at.union
0.000016     8560 filter.eventually_eq
0.000017     8561 filter.ext'
0.000016     8562 filter.eventually_map
0.000016     8563 filter.eventually.congr
0.000017     8564 filter.eventually_congr
0.000016     8565 filter.map_congr
0.000016     8566 continuous_within_at.congr_of_eventually_eq
0.000017     8567 self_mem_nhds_within
0.000016     8568 continuous_within_at.congr
0.000016     8569 filter.frequently
0.000017     8570 filter.frequently.equations._eqn_1
0.000016     8571 mem_interior_iff_mem_nhds
0.000017     8572 closure.equations._eqn_1
0.000016     8573 set.sInter_image
0.000017     8574 set.compl_sUnion
0.000016     8575 set.compl_image
0.000016     8576 set.compl_image_set_of
0.000017     8577 closure_eq_compl_interior_compl
0.000017     8578 mem_closure_iff_frequently
0.000016     8579 cluster_pt_principal_iff
0.000017     8580 filter.frequently.exists
0.000017     8581 filter.frequently.and_eventually
0.000016     8582 and_not_self
0.000017     8583 filter.frequently_iff_forall_eventually_exists_and
0.000016     8584 filter.frequently_iff
0.000017     8585 cluster_pt_principal_iff_frequently
0.000016     8586 mem_closure_iff_cluster_pt
0.000017     8587 mem_closure_iff_nhds_within_ne_bot
0.000016     8588 filter.tendsto_bot
0.000016     8589 continuous_within_at_of_not_mem_closure
0.000017     8590 set.subset_sInter
0.000016     8591 subset_closure
0.000017     8592 compl_injective
0.000016     8593 compl_inj_iff
0.000016     8594 closure_compl
0.000016     8595 monotone.map_inf_le
0.000017     8596 set.sInter_subset_of_mem
0.000016     8597 closure_minimal
0.000017     8598 set.sUnion_eq_compl_sInter_compl
0.000016     8599 set.image_comp
0.000016     8600 set.compl_comp_compl
0.000017     8601 auto.not_forall_eq
0.000016     8602 auto.not_or_eq
0.000017     8603 auto.not_not_eq
0.000016     8604 set.image_congr
0.000027     8605 set.image_id
0.000015     8606 set.compl_compl_image
0.000014     8607 set.compl_sInter
0.000017     8608 is_closed_sInter
0.000019     8609 is_closed_closure
0.000016     8610 closure_mono
0.000016     8611 monotone_closure
0.000017     8612 closure_inter_subset_inter_closure
0.000016     8613 set.piecewise_eq_of_not_mem
0.000017     8614 continuous_on.piecewise'
0.000016     8615 continuous_on.if'
0.000016     8616 if_t_t
0.000017     8617 nhds_within_mono
0.000016     8618 tendsto_nhds_within_mono_left
0.000016     8619 set.mem_compl_iff
0.000017     8620 continuous_on.mono
0.000016     8621 continuous_on.if
0.000016     8622 set.univ_inter
0.000017     8623 continuous_if
0.000016     8624 frontier.equations._eqn_1
0.000017     8625 set.diff_eq
0.000016     8626 frontier_eq_closure_inter_closure
0.000017     8627 is_closed.closure_eq
0.000016     8628 closure_le_eq
0.000017     8629 closure_lt_subset_le
0.000015     8630 frontier_le_subset_eq
0.000014     8631 continuous_if_le
0.000014     8632 continuous.continuous_on
0.000016     8633 continuous.if_le
0.000016     8634 continuous.min
0.000017     8635 is_closed.preimage
0.000017     8636 continuous_swap
0.000016     8637 order_dual.order_closed_topology
0.000016     8638 continuous.max
0.000017     8639 continuous_abs
0.875141     8640 real.continuous_mul
0.000092     8641 real.topological_ring
0.000024     8642 real.topological_semiring
0.000015     8643 geom_sum
0.000014     8644 pi.can_lift._proof_1
0.000014     8645 pi.can_lift
0.000014     8646 nnreal.can_lift._proof_1
0.000014     8647 nnreal.can_lift
0.000015     8648 ring_hom.map_sum
0.000014     8649 nnreal.coe_sum
0.000014     8650 filter.eventually_le
0.000019     8651 is_closed.closure_subset
0.000018     8652 filter.frequently.mem_closure
0.000017     8653 filter.frequently.mem_of_closed
0.000026     8654 filter.tendsto.eventually
0.000014     8655 filter.tendsto.frequently
0.000014     8656 is_closed.mem_of_frequently_of_tendsto
0.000017     8657 filter.compl_not_mem_sets
0.000015     8658 filter.eventually.frequently
0.000016     8659 is_closed.mem_of_tendsto
0.000014     8660 le_of_tendsto_of_tendsto
0.000014     8661 ge_of_tendsto
0.000015     8662 ge_of_tendsto'
0.000014     8663 nhds_subtype_eq_comap
0.000016     8664 tendsto_subtype_rng
0.000017     8665 nnreal.tendsto_coe
0.000014     8666 nnreal.tendsto_coe'
0.000015     8667 inducing
0.000018     8668 embedding
0.000015     8669 inducing.induced
0.000017     8670 embedding.to_inducing
0.000017     8671 embedding.tendsto_nhds_iff
0.000015     8672 le_generate_from_iff_subset_is_open
0.000014     8673 le_generate_from
0.000017     8674 set.Icc
0.000018     8675 set.ord_connected
0.000017     8676 subtype.preorder
0.000016     8677 set.ord_connected.out'
0.000017     8678 set.ord_connected.out
0.000016     8679 order_topology_of_ord_connected
0.000017     8680 set.ord_connected_Ici
0.000016     8681 nnreal.order_topology
0.000016     8682 is_open_lt
0.000017     8683 is_open_Ioi
0.000016     8684 is_open_Iio
0.000016     8685 ennreal.embedding_coe
0.000016     8686 ennreal.tendsto_coe
0.000017     8687 ennreal.of_nnreal_hom._proof_1
0.000016     8688 ennreal.of_nnreal_hom._proof_2
0.000016     8689 ennreal.of_nnreal_hom
0.000016     8690 ennreal.coe_finset_sum
0.000017     8691 ennreal.has_sum_coe
0.000016     8692 filter.mem_at_top
0.000017     8693 filter.tendsto_at_top_at_top_of_monotone
0.000016     8694 monotone.tendsto_at_top_at_top
0.000017     8695 list.length_range'
0.000016     8696 list.range'_append
0.000016     8697 list.range'_sublist_right
0.000016     8698 list.range'_subset_right
0.000017     8699 list.range_subset
0.000016     8700 multiset.range_subset
0.000016     8701 finset.range_subset
0.000016     8702 finset.range_mono
0.000016     8703 finset.exists_nat_subset_range
0.000017     8704 filter.tendsto_finset_range
0.000016     8705 has_sum.tendsto_sum_nat
0.000016     8706 tendsto_order
0.000017     8707 push_neg.not_exists_eq
0.000016     8708 exists_lt_of_lt_cSup
0.000016     8709 set.range_nonempty_iff_nonempty
0.000017     8710 set.range_nonempty
0.000016     8711 exists_lt_of_lt_csupr
0.000016     8712 le_csupr
0.000017     8713 filter.tendsto_of_not_nonempty
0.000016     8714 tendsto_at_top_csupr
0.000016     8715 order_top.bdd_above
0.000016     8716 tendsto_at_top_supr
0.000017     8717 supr_eq_of_tendsto
0.000016     8718 finset.sum_le_sum_of_subset
0.000016     8719 ennreal.has_sum
0.000016     8720 ennreal.tsum_eq_supr_sum
0.000017     8721 supr_le_supr2
0.000016     8722 supr_comp_le
0.000016     8723 monotone.supr_comp_eq
0.000016     8724 finset.sum_mono_set
0.000017     8725 ennreal.tsum_eq_supr_sum'
0.000016     8726 ennreal.tsum_eq_supr_nat
0.000016     8727 ennreal.summable
0.000016     8728 ennreal.has_sum_iff_tendsto_nat
0.000017     8729 nnreal.has_sum_iff_tendsto_nat
0.000016     8730 has_sum_iff_tendsto_nat_of_nonneg
0.000017     8731 pow_nonneg
0.000016     8732 geom_sum₂
0.000016     8733 geom_sum₂_with_one
0.000016     8734 finset.range_zero
0.000017     8735 finset.sum_empty
0.000016     8736 multiset.range.equations._eqn_1
0.000016     8737 list.range'_concat
0.000016     8738 list.range_succ
0.000016     8739 multiset.coe_add
0.000017     8740 multiset.range_succ
0.000020     8741 finset.range_succ
0.000025     8742 finset.sum_range_succ_comm
0.000018     8743 semiconj_by.add_right
0.000017     8744 commute.add_right
0.000016     8745 is_add_hom
0.000016     8746 is_add_monoid_hom
0.000015     8747 is_add_monoid_hom.map_zero
0.000016     8748 add_monoid_hom.of._proof_1
0.000017     8749 is_add_hom.map_add
0.000016     8750 is_add_monoid_hom.to_is_add_hom
0.000017     8751 add_monoid_hom.of._proof_2
0.000016     8752 add_monoid_hom.of
0.000016     8753 finset.sum_hom
0.000017     8754 is_add_monoid_hom.is_add_monoid_hom_mul_left
0.000017     8755 finset.mul_sum
0.000016     8756 commute.geom_sum₂_mul_add
0.000017     8757 semiconj_by.neg_left
0.000016     8758 semiconj_by.sub_left
0.000016     8759 commute.sub_left
0.000017     8760 commute.geom_sum₂_mul
0.000016     8761 commute.one_right
0.000016     8762 geom_sum_mul
0.000017     8763 geom_sum_eq
0.000016     8764 one_div_mul_one_div_rev
0.000017     8765 eq_inv_of_mul_right_eq_one
0.000019     8766 eq_one_div_of_mul_eq_one
0.000025     8767 one_div_neg_one_eq_neg_one
0.000018     8768 one_div_neg_eq_neg_one_div
0.000017     8769 mul_one_div
0.000017     8770 div_neg_eq_neg_div
0.000016     8771 neg_inv
0.000017     8772 tendsto_mul
0.000017     8773 filter.tendsto.mul
0.690701     8774 semi_normed_ring
0.000095     8775 semi_normed_ring.to_pseudo_metric_space
0.000024     8776 semi_normed_ring.to_ring
0.000015     8777 semi_normed_ring.to_has_norm
0.000014     8778 semi_normed_ring.to_semi_normed_group._proof_1
0.000015     8779 semi_normed_ring.to_semi_normed_group._proof_2
0.000014     8780 semi_normed_ring.to_semi_normed_group._proof_3
0.000014     8781 semi_normed_ring.to_semi_normed_group._proof_4
0.000015     8782 semi_normed_ring.to_semi_normed_group._proof_5
0.000016     8783 semi_normed_ring.to_semi_normed_group._proof_6
0.000026     8784 semi_normed_ring.dist_eq
0.000017     8785 semi_normed_ring.to_semi_normed_group
0.000014     8786 metric.mem_ball
0.000014     8787 real.dist_0_eq_abs
0.000019     8788 abs_dist
0.000017     8789 metric.uniformity_eq_comap_nhds_zero
0.000015     8790 nhds_comap_dist
0.000014     8791 tendsto_iff_dist_tendsto_zero
0.000018     8792 tendsto_iff_norm_tendsto_zero
0.000018     8793 tendsto_of_tendsto_of_tendsto_of_le_of_le'
0.000017     8794 squeeze_zero'
0.000017     8795 squeeze_zero
0.000027     8796 norm_add_le
0.000017     8797 norm_add_le_of_le
0.000015     8798 semi_normed_ring.norm_mul
0.000014     8799 norm_mul_le
0.000015     8800 norm_zero
0.000016     8801 lipschitz_with
0.000018     8802 emetric.uniform_continuous_iff
0.000016     8803 ennreal.div_inv_monoid._proof_1
0.000017     8804 ennreal.div_inv_monoid._proof_2
0.000017     8805 ennreal.div_inv_monoid._proof_3
0.000017     8806 ennreal.div_inv_monoid._proof_4
0.000017     8807 ennreal.div_inv_monoid
0.000017     8808 canonically_ordered_semiring.mul_pos
0.000017     8809 ennreal.coe_ne_top
0.000017     8810 lipschitz_with.edist_le_mul
0.000023     8811 ennreal.zero_div
0.000023     8812 ennreal.div_top
0.000017     8813 ite_eq_left_iff
0.000017     8814 ennreal.mul_top
0.000017     8815 ennreal.mul_le_mul_left
0.000016     8816 with_top.top_mul_top
0.000017     8817 with_top.mul_eq_top_iff
0.000016     8818 ennreal.mul_eq_top
0.000017     8819 ennreal.div_eq_top
0.000017     8820 ennreal.zero_ne_top
0.000016     8821 ennreal.le_div_iff_mul_le
0.000017     8822 ennreal.div_le_iff_le_mul
0.000017     8823 ennreal.div_le_of_le_mul
0.000016     8824 ennreal.mul_lt_of_lt_div
0.000017     8825 lipschitz_with.uniform_continuous
0.000016     8826 ennreal.max_zero_right
0.000016     8827 prod.pseudo_emetric_space_max._proof_1
0.000024     8828 prod.pseudo_emetric_space_max._proof_2
0.000021     8829 prod.pseudo_emetric_space_max._proof_3
0.000016     8830 prod.pseudo_emetric_space_max._proof_4
0.000017     8831 prod.pseudo_emetric_space_max
0.000017     8832 nndist
0.000016     8833 nndist.equations._eqn_1
0.000016     8834 ennreal.coe_nnreal_eq
0.000017     8835 ennreal.of_real_eq_coe_nnreal
0.000017     8836 edist_nndist
0.000016     8837 dist_add_right
0.000017     8838 dist_add_left
0.000016     8839 dist_add_add_le
0.000017     8840 nndist_add_add_le
0.000016     8841 edist_add_add_le
0.000017     8842 lipschitz_with.add
0.000016     8843 norm_sub_rev
0.000015     8844 dist_neg_neg
0.000014     8845 lipschitz_with.neg
0.000016     8846 lipschitz_with.sub
0.000017     8847 lipschitz_with.of_edist_le
0.000017     8848 lipschitz_with.prod_fst
0.000017     8849 lipschitz_with.prod_snd
0.000016     8850 normed_uniform_group
0.000017     8851 normed_top_monoid
0.000016     8852 sub_le_iff_le_add'
0.000016     8853 abs_sub_le_iff
0.000017     8854 sub_le_iff_le_add
0.000016     8855 dist_triangle_left
0.000017     8856 abs_dist_sub_le
0.000016     8857 uniform_continuous_dist
0.000017     8858 continuous_dist
0.000016     8859 filter.tendsto.dist
0.000017     8860 tendsto_norm
0.000016     8861 filter.tendsto.norm
0.000016     8862 has_continuous_sub
0.000017     8863 has_continuous_sub.continuous_sub
0.000016     8864 filter.tendsto.sub
0.000017     8865 continuous_add
0.000024     8866 continuous.add
0.000020     8867 continuous.neg
0.000017     8868 topological_add_group.to_has_continuous_sub
0.000016     8869 normed_top_group
0.000017     8870 semi_normed_ring_top_monoid
0.000016     8871 semi_normed_comm_ring
0.000017     8872 semi_normed_comm_ring.to_semi_normed_ring
0.000016     8873 normed_ring
0.000017     8874 normed_ring.to_ring
0.000016     8875 normed_comm_ring
0.000016     8876 normed_ring.to_has_norm
0.000017     8877 normed_comm_ring.to_normed_ring
0.000016     8878 normed_ring.to_metric_space
0.000017     8879 normed_ring.dist_eq
0.000016     8880 normed_comm_ring.to_semi_normed_comm_ring._proof_1
0.000017     8881 normed_ring.norm_mul
0.000016     8882 normed_comm_ring.to_semi_normed_comm_ring._proof_2
0.000016     8883 normed_comm_ring.mul_comm
0.000017     8884 normed_comm_ring.to_semi_normed_comm_ring
0.000016     8885 normed_field.to_field
0.000017     8886 normed_field.to_normed_comm_ring._proof_1
0.000016     8887 normed_field.to_normed_comm_ring._proof_2
0.000016     8888 normed_field.to_normed_comm_ring._proof_3
0.000017     8889 normed_field.to_normed_comm_ring._proof_4
0.000016     8890 normed_field.to_normed_comm_ring._proof_5
0.000016     8891 normed_field.to_normed_comm_ring._proof_6
1.123873     8892 normed_field.to_normed_comm_ring._proof_7
0.000092     8893 normed_field.to_normed_comm_ring._proof_8
0.000024     8894 normed_field.to_normed_comm_ring._proof_9
0.000014     8895 normed_field.to_normed_comm_ring._proof_10
0.000015     8896 normed_field.to_normed_comm_ring._proof_11
0.000014     8897 normed_field.to_metric_space
0.000014     8898 normed_field.dist_eq
0.000014     8899 normed_field.norm_mul'
0.000014     8900 normed_field.norm_mul
0.000015     8901 normed_field.to_normed_comm_ring._proof_12
0.000018     8902 normed_field.to_normed_comm_ring._proof_13
0.000017     8903 normed_field.to_normed_comm_ring
0.000017     8904 has_le.le.eq_or_lt
0.000016     8905 filter.map_at_top_eq_of_gc
0.000017     8906 le_iff_le_iff_lt_iff_lt
0.000014     8907 nat.le_sub_left_iff_add_le
0.000014     8908 nat.le_sub_right_iff_add_le
0.000018     8909 filter.map_add_at_top_eq_nat
0.000014     8910 filter.tendsto_add_at_top_iff_nat
0.000019     8911 filter.tendsto_congr'
0.000016     8912 filter.tendsto_congr
0.000015     8913 filter.tendsto.congr
0.000013     8914 filter.tendsto.mono_right
0.000018     8915 set.Ioo
0.000014     8916 list.tfae
0.000018     8917 list.nth._main
0.000016     8918 list.nth
0.000015     8919 list.nth_le._main
0.000014     8920 list.nth_le
0.000017     8921 list.nth_le_mem
0.000015     8922 list.nth_le_nth
0.000017     8923 list.nth_len_le
0.000017     8924 list.nth_eq_some
0.000015     8925 list.nth_mem
0.000014     8926 list.tfae.out
0.000017     8927 list.tfae_of_forall
0.000014     8928 implies
0.000016     8929 implies.trans
0.000018     8930 nhds_within_has_basis
0.000016     8931 nhds_within_basis_open
0.000017     8932 mem_nhds_within
0.000016     8933 set.Ioi_inter_Iio
0.000017     8934 set.Ioo_subset_Ioo
0.000016     8935 set.Ioo_subset_Ioo_left
0.000017     8936 Ioo_mem_nhds_within_Ioi
0.000016     8937 mem_nhds_within_iff_exists_mem_nhds_inter
0.000017     8938 set.Ioc_subset_Ioi_self
0.000016     8939 nhds_within_restrict''
0.000015     8940 nhds_within_restrict'
0.000014     8941 nhds_within_restrict
0.000017     8942 nhds_within_le_of_mem
0.000016     8943 set.Ioo_subset_Ioc_self
0.000016     8944 Ioc_mem_nhds_within_Ioi
0.000017     8945 set.mem_Ico
0.000016     8946 set.left_mem_Ico
0.000017     8947 nhds_within_Ioc_eq_nhds_within_Ioi
0.000016     8948 set.Ioo_subset_Ioi_self
0.000016     8949 nhds_within_Ioo_eq_nhds_within_Ioi
0.000017     8950 tfae_mem_nhds_within_Ioi
0.000016     8951 mem_nhds_within_Ioi_iff_exists_Ioo_subset'
0.000016     8952 mem_nhds_within_Ioi_iff_exists_Ioo_subset
0.000016     8953 mem_nhds_within_Ioi_iff_exists_Ioc_subset
0.000016     8954 tendsto_inv_at_top_zero'
0.000017     8955 tendsto_inv_at_top_zero
0.000016     8956 bdd_above.equations._eqn_1
0.000016     8957 not_bdd_above_iff'
0.000016     8958 not_bdd_above_iff
0.000017     8959 filter.tendsto_at_top_at_top_of_monotone'
0.000016     8960 le_mul_of_one_le_left
0.000016     8961 pow_mono
0.000017     8962 pow_le_pow
0.000016     8963 lt_one_add
0.000016     8964 bit0.equations._eqn_1
0.000017     8965 commute.left_comm
0.000016     8966 one_add_mul_le_pow'
0.000016     8967 zero_le_two
0.000017     8968 add_one_pow_unbounded_of_pos
0.000016     8969 tendsto_add_one_pow_at_top_at_top_of_pos
0.000016     8970 tendsto_pow_at_top_at_top_of_one_lt
0.000017     8971 lt_inv
0.000016     8972 one_lt_inv
0.000017     8973 tendsto_pow_at_top_nhds_0_of_lt_1
0.000027     8974 has_sum_geometric_of_lt_1
0.000017     8975 one_half_pos
0.000019     8976 mul_lt_mul_left
0.000023     8977 lt_mul_iff_one_lt_right
0.000018     8978 lt_mul_of_one_lt_right
0.000016     8979 one_add_one_eq_two
0.000017     8980 one_lt_two
0.000017     8981 div_two_lt_of_pos
0.000016     8982 half_lt_self
0.000017     8983 one_half_lt_one
0.000016     8984 has_sum_geometric_two'
0.000016     8985 option.cases_on'._main
0.000016     8986 option.cases_on'
0.000016     8987 le_of_tendsto_of_tendsto'
0.000016     8988 has_sum_le
0.000017     8989 function.is_partial_inv_left
0.000016     8990 function.partial_inv_left
0.000017     8991 option.cases_on'._main.equations._eqn_2
0.000016     8992 option.cases_on'.equations._eqn_2
0.000016     8993 option.cases_on'._main.equations._eqn_1
0.000017     8994 option.cases_on'.equations._eqn_1
0.000016     8995 function.support
0.000017     8996 subtype.range_coe_subtype
0.000016     8997 function.support_subset_iff'
0.000016     8998 has_sum_subtype_iff_of_support_subset
0.000017     8999 has_sum_subtype_support
0.000016     9000 set.eq_univ_of_forall
0.000016     9001 equiv.range_eq_univ
0.000016     9002 equiv.has_sum_iff
0.000017     9003 equiv.has_sum_iff_of_support
0.000016     9004 equiv.of_left_inverse._proof_1
0.000015     9005 nonempty_of_exists
0.000016     9006 equiv.of_left_inverse._proof_2
0.000017     9007 equiv.of_left_inverse._proof_3
0.000016     9008 equiv.of_left_inverse._match_1
0.000016     9009 equiv.of_left_inverse._proof_4
0.000017     9010 equiv.of_left_inverse
0.000016     9011 equiv.of_injective._proof_1
0.000016     9012 equiv.of_injective
0.000016     9013 equiv.of_bijective._proof_1
0.000016     9014 equiv.subtype_equiv._proof_1
0.000017     9015 equiv.subtype_equiv._proof_2
0.670733     9016 subtype.ext_val
0.000091     9017 equiv.subtype_equiv._match_1
0.000022     9018 equiv.subtype_equiv._proof_3
0.000015     9019 equiv.subtype_equiv._match_2
0.000014     9020 equiv.subtype_equiv._proof_4
0.000014     9021 equiv.subtype_equiv
0.000015     9022 equiv.subtype_equiv_prop._proof_1
0.000014     9023 equiv.subtype_equiv_prop
0.000014     9024 equiv.set_congr
0.000014     9025 set.range_iff_surjective
0.000017     9026 function.surjective.range_eq
0.000017     9027 equiv.of_bijective._proof_2
0.000017     9028 equiv.set.univ._match_1
0.000017     9029 equiv.set.univ._proof_1
0.000014     9030 equiv.set.univ._proof_2
0.000014     9031 equiv.set.univ
0.000017     9032 equiv.of_bijective
0.000015     9033 has_sum_iff_has_sum_of_ne_zero_bij
0.000014     9034 function.mem_support
0.000015     9035 has_sum_le_inj
0.000014     9036 pos_sum_of_encodable._proof_1
0.000014     9037 pos_sum_of_encodable
0.000014     9038 nnreal.has_sum_coe
0.000018     9039 nnreal.exists_pos_sum_of_encodable
0.000017     9040 ennreal.tsum_coe_eq
0.000016     9041 ennreal.exists_pos_sum_of_encodable
0.000017     9042 multiset.map_zero
0.000017     9043 multiset.fold_distrib
0.000016     9044 finset.fold_op_distrib
0.000016     9045 finset.sum_add_distrib
0.000016     9046 has_sum.add
0.000017     9047 tsum_add
0.000027     9048 nhds_top_order
0.000017     9049 tendsto_nhds_top_mono
0.000014     9050 tendsto_nhds_top_mono'
0.000015     9051 le_add_right
0.000017     9052 le_add_left
0.000014     9053 open_embedding
0.000014     9054 inducing.map_nhds_of_mem
0.000018     9055 embedding.map_nhds_of_mem
0.000016     9056 open_embedding.to_embedding
0.000017     9057 open_embedding.open_range
0.000016     9058 open_embedding.map_nhds_eq
0.000017     9059 is_open_map
0.000016     9060 is_open_map.is_open_range
0.000017     9061 open_embedding_of_embedding_open
0.000016     9062 induced_compose
0.000017     9063 induced_inf
0.000016     9064 inducing.prod_mk
0.000017     9065 embedding.inj
0.000016     9066 embedding.prod_mk
0.000016     9067 filter.le_map
0.000017     9068 is_open_map.image_mem_nhds
0.000017     9069 is_open_map.nhds_le
0.000016     9070 imp_congr_right
0.000017     9071 is_open_iff_mem_nhds
0.000016     9072 is_open_map.of_nhds_le
0.000018     9073 is_open_map_iff_nhds_le
0.000016     9074 is_open_map.prod
0.000017     9075 eq.ge
0.000016     9076 inducing.is_open_map
0.000017     9077 open_embedding.is_open_map
0.000016     9078 open_embedding.prod
0.000017     9079 is_open_compl_singleton
0.000016     9080 is_open_ne
0.000016     9081 ennreal.is_open_ne_top
0.000017     9082 ennreal.open_embedding_coe
0.000016     9083 ennreal.nhds_coe_coe
0.000017     9084 topological_semiring.to_has_continuous_add
0.000016     9085 continuous_subtype_mk
0.000017     9086 continuous_subtype_val
0.000016     9087 nnreal.topological_semiring
0.000017     9088 ennreal.has_continuous_add
0.000016     9089 ennreal.tsum_add
0.000016     9090 upper_bounds_mono_mem
0.000017     9091 is_lub.upper_bounds_eq
0.000016     9092 is_lub_le_iff
0.000017     9093 mem_upper_bounds
0.000016     9094 lt_is_lub_iff
0.000017     9095 is_glb_lt_iff
0.000016     9096 complete_linear_order.to_linear_order
0.000017     9097 Inf_lt_iff
0.000016     9098 infi_lt_iff
0.000017     9099 with_top.add_lt_add_iff_left
0.000016     9100 ennreal.add_lt_add_iff_left
0.000016     9101 ennreal.lt_add_right
0.000017     9102 filter.eventually_at_top
0.000016     9103 sum_le_has_sum
0.000015     9104 le_has_sum
0.000014     9105 le_tsum
0.000014     9106 le_tsum'
0.000016     9107 ennreal.le_tsum
0.000017     9108 sigma
0.000016     9109 filter.mem_sets_of_eq_bot
0.000017     9110 compl_le_of_compl_le
0.000016     9111 compl_le_iff_compl_le
0.000016     9112 set.compl_subset_comm
0.000017     9113 nhds_is_closed
0.000016     9114 closed_nhds_basis
0.000017     9115 sigma.cases_on
0.000017     9116 sigma.no_confusion_type
0.000016     9117 sigma.no_confusion
0.000016     9118 sigma.decidable_eq._match_2
0.000017     9119 sigma.decidable_eq._match_1
0.000017     9120 sigma.decidable_eq._main
0.000016     9121 sigma.decidable_eq
0.000016     9122 sigma.fst
0.000017     9123 sigma_mk_injective
0.000016     9124 multiset.join
0.000017     9125 multiset.bind
0.000017     9126 multiset.sigma
0.000016     9127 quot.exists_rep
0.000016     9128 quotient.exists_rep
0.000016     9129 list.sigma
0.000017     9130 multiset.sigma.equations._eqn_1
0.000017     9131 list.sigma.equations._eqn_1
0.000016     9132 multiset.coe_join
0.000017     9133 multiset.coe_bind
0.000016     9134 multiset.coe_sigma
0.000017     9135 list.disjoint
0.000016     9136 or_and_distrib_right
0.000017     9137 list.mem_join
0.000016     9138 list.pairwise_join
0.000016     9139 list.disjoint_left
0.000017     9140 list.nodup_join
0.000016     9141 list.nodup_bind
0.000017     9142 sigma.mk.inj
0.000016     9143 sigma.mk.inj_arrow
0.000016     9144 list.nodup_sigma
0.000026     9145 multiset.nodup_sigma
0.000019     9146 finset.sigma._proof_1
0.000017     9147 finset.sigma
0.000017     9148 sigma.snd
0.000017     9149 multiset.bind.equations._eqn_1
0.000016     9150 multiset.join_zero
0.000016     9151 multiset.sum_cons
0.000017     9152 multiset.join_cons
0.000017     9153 multiset.mem_join
0.000016     9154 exists_exists_and_eq_and
0.481189     9155 multiset.mem_bind
0.000092     9156 heq_of_eq
0.000024     9157 sigma.mk.inj_eq
0.000014     9158 sigma.mk.inj_iff
0.000015     9159 heq_iff_eq
0.000014     9160 multiset.mem_sigma
0.000015     9161 finset.mem_sigma
0.000014     9162 sigma.eta
0.000014     9163 finset.sigma_preimage_mk
0.000014     9164 function.embedding.sigma_mk
0.000014     9165 finset.bUnion
0.000023     9166 finset.bUnion_val
0.000025     9167 finset.mem_bUnion
0.000016     9168 function.embedding.sigma_mk_apply
0.000018     9169 finset.sigma_eq_bUnion
0.000019     9170 finset.bUnion_empty
0.000018     9171 finset.bUnion_insert
0.000016     9172 disjoint_bot_left
0.000016     9173 finset.disjoint_empty_left
0.000014     9174 finset.forall_mem_empty_iff
0.000018     9175 finset.disjoint_union_left
0.000019     9176 finset.forall_mem_insert
0.000016     9177 finset.disjoint_bUnion_left
0.000015     9178 finset.disjoint_bUnion_right
0.000014     9179 finset.sum_bUnion
0.000017     9180 finset.sum.equations._eqn_1
0.000015     9181 finset.map_val
0.000018     9182 finset.sum_map
0.000016     9183 finset.sum_sigma
0.000015     9184 list.sum_nil
0.000014     9185 list.sum_cons
0.000017     9186 tendsto_list_sum
0.000015     9187 tendsto_multiset_sum
0.000017     9188 tendsto_finset_sum
0.000017     9189 supr_range
0.000014     9190 filter.infi_eq_generate
0.000015     9191 set.fintype_range._proof_1
0.000017     9192 set.fintype_range
0.000015     9193 set.finite_range
0.000016     9194 set.bUnion_range
0.000017     9195 set.finite_subset_Union
0.000017     9196 set.eq_finite_Union_of_finite_subset_Union
0.000017     9197 set.sInter_eq_bInter
0.000016     9198 filter.sInter_mem_sets
0.000017     9199 set.mem_sInter
0.000016     9200 set.sInter_Union
0.000017     9201 filter.mem_infi_iff
0.000016     9202 filter.at_top_finset_eq_infi
0.000017     9203 finset.mem_coe
0.000016     9204 finset.coe_singleton
0.000017     9205 finset.singleton_subset_set_iff
0.000016     9206 finset.singleton_subset_iff
0.000016     9207 filter.tendsto_at_top_finset_of_monotone
0.000017     9208 monotone.tendsto_at_top_finset
0.000016     9209 finset.monotone_preimage
0.000017     9210 finset.mem_singleton_self
0.000016     9211 filter.tendsto_finset_preimage_at_top_at_top
0.000017     9212 has_sum.sigma
0.000016     9213 equiv.sigma_equiv_prod._match_1
0.000017     9214 equiv.sigma_equiv_prod._proof_1
0.000026     9215 equiv.sigma_equiv_prod._match_2
0.000015     9216 equiv.sigma_equiv_prod._proof_2
0.000014     9217 equiv.sigma_equiv_prod
0.000015     9218 has_sum.prod_fiberwise
0.000014     9219 tsum_prod'
0.000014     9220 ennreal.tsum_prod
0.000015     9221 equiv.nat_prod_nat_equiv_nat._proof_1
0.000014     9222 equiv.nat_prod_nat_equiv_nat
0.000014     9223 equiv.summable_iff_of_has_sum_iff
0.000014     9224 equiv.tsum_eq_tsum_of_has_sum_iff_has_sum
0.000017     9225 tsum_eq_tsum_of_has_sum_iff_has_sum
0.000015     9226 equiv.tsum_eq
0.000017     9227 set.Union_subset
0.000016     9228 equiv.nat_prod_nat_equiv_nat.equations._eqn_1
0.000016     9229 equiv.coe_fn_mk
0.000017     9230 equiv.coe_fn_symm_mk
0.000016     9231 set.subset_Union
0.000017     9232 tsum_le_tsum
0.000016     9233 ennreal.tsum_le_tsum
0.000017     9234 measure_theory.outer_measure.of_function._proof_3
0.000016     9235 measure_theory.outer_measure.of_function
0.000016     9236 measure_theory.extend
0.000017     9237 measure_theory.extend.equations._eqn_1
0.000016     9238 measure_theory.extend_eq
0.000017     9239 measure_theory.extend_empty
0.000016     9240 measure_theory.induced_outer_measure._proof_1
0.000016     9241 measure_theory.induced_outer_measure
0.000017     9242 measure_theory.outer_measure.has_coe_to_fun
0.000014     9243 measurable_space.measurable_set_empty
0.000015     9244 measurable_set.empty
0.000016     9245 measure_theory.outer_measure.empty
0.000017     9246 measure_theory.outer_measure.trim
0.000016     9247 measure_theory.measure
0.000017     9248 measure_theory.measure.to_outer_measure
0.000016     9249 measure_theory.measure.has_coe_to_fun
0.000016     9250 has_scalar
0.000017     9251 has_scalar.smul
0.000016     9252 mul_action
0.000017     9253 mul_action.to_has_scalar
0.000016     9254 distrib_mul_action
0.000016     9255 distrib_mul_action.to_mul_action
0.000017     9256 semimodule
0.000016     9257 smul_with_zero
0.000017     9258 smul_with_zero.to_has_scalar
0.000016     9259 mul_action_with_zero
0.000017     9260 mul_action_with_zero.to_mul_action
0.000016     9261 mul_action_with_zero.smul_zero
0.000017     9262 mul_action_with_zero.zero_smul
0.000016     9263 mul_action_with_zero.to_smul_with_zero
0.000017     9264 semimodule.to_distrib_mul_action
0.000016     9265 mul_action.one_smul
0.000017     9266 semimodule.to_mul_action_with_zero._proof_1
0.000016     9267 mul_action.mul_smul
0.000016     9268 semimodule.to_mul_action_with_zero._proof_2
0.000017     9269 distrib_mul_action.smul_zero
0.000016     9270 smul_zero
0.000017     9271 semimodule.to_mul_action_with_zero._proof_3
0.000016     9272 semimodule.zero_smul
0.000017     9273 semimodule.to_mul_action_with_zero
0.000016     9274 linear_map
0.435450     9275 measure_theory.outer_measure.empty'
0.000092     9276 measure_theory.outer_measure.has_add._proof_1
0.000024     9277 measure_theory.outer_measure.mono
0.000015     9278 measure_theory.outer_measure.has_add._proof_2
0.000014     9279 measure_theory.outer_measure.Union_nat
0.000015     9280 measure_theory.outer_measure.has_add._proof_3
0.000014     9281 measure_theory.outer_measure.has_add
0.000014     9282 measure_theory.measure.trimmed
0.000015     9283 measure_theory.measure_eq_trim
0.000014     9284 measure_theory.measure_eq_induced_outer_measure
0.000017     9285 encodable.decode2
0.000017     9286 supr_comm
0.000015     9287 encodable.decode2.equations._eqn_1
0.000014     9288 option.guard_eq_some
0.000016     9289 encodable.mem_decode2'
0.000016     9290 encodable.mem_decode2
0.000015     9291 infi_infi_eq_right
0.000014     9292 supr_supr_eq_right
0.000018     9293 encodable.supr_decode2
0.000019     9294 encodable.Union_decode2
0.000015     9295 measurable_space.measurable_set_Union
0.000014     9296 supr_neg
0.000014     9297 set.Union_neg
0.000014     9298 supr_bot
0.000018     9299 set.Union_empty
0.000017     9300 encodable.Union_decode2_cases
0.000016     9301 measurable_set.bUnion_decode2
0.000015     9302 measurable_set.Union
0.000015     9303 finset.attach_val
0.000014     9304 multiset.attach_map_val
0.000016     9305 finset.erase_dup_eq_self
0.000015     9306 finset.attach_image_val
0.000014     9307 finset.sum_attach
0.000014     9308 filter.singleton_mem_pure_sets
0.000018     9309 filter.le_pure_iff
0.000016     9310 filter.eventually_ge_at_top
0.000017     9311 filter.order_top.at_top_eq
0.000016     9312 filter.tendsto_pure
0.000017     9313 filter.tendsto_pure_pure
0.000017     9314 filter.tendsto_at_top_pure
0.000016     9315 order_top.tendsto_at_top_nhds
0.000016     9316 finset.order_top._proof_1
0.000017     9317 finset.order_top._proof_2
0.000016     9318 finset.order_top._proof_3
0.000016     9319 finset.order_top._proof_4
0.000017     9320 finset.subset_univ
0.000017     9321 finset.order_top
0.000016     9322 has_sum_fintype
0.000016     9323 finset_coe.fintype
0.000017     9324 finset.has_sum
0.000016     9325 has_sum_sum_of_ne_finset_zero
0.000016     9326 has_sum_single
0.000016     9327 tsum_eq_single
0.000016     9328 nat.rec_zero
0.000017     9329 measure_theory.outer_measure.of_function_le
0.000016     9330 measure_theory.outer_measure.of_function_eq
0.000017     9331 set.union_diff_cancel
0.000017     9332 tsum_eq_tsum_of_ne_zero_bij
0.000016     9333 supr_false
0.000016     9334 option.get_mem
0.000015     9335 encodable.encodek2
0.000014     9336 option.get_of_mem
0.000016     9337 tsum_supr_decode2
0.000016     9338 tsum_Union_decode2
0.000017     9339 option.ext
0.000016     9340 measure_theory.extend_Union_nat
0.000016     9341 set.bot_eq_empty
0.000017     9342 encodable.Union_decode2_disjoint_on
0.000016     9343 measure_theory.extend_Union
0.000016     9344 sum
0.000016     9345 unit
0.000017     9346 sum.cases_on
0.000016     9347 encodable.encode_sum._main
0.000016     9348 encodable.encode_sum
0.000017     9349 encodable.decode_sum._match_1
0.000016     9350 encodable.decode_sum
0.000016     9351 encodable.encode_sum._main.equations._eqn_1
0.000016     9352 encodable.encode_sum.equations._eqn_1
0.000016     9353 encodable.decode_sum.equations._eqn_1
0.000017     9354 nat.bodd_div2_eq
0.000016     9355 nat.bodd_bit
0.000016     9356 nat.bodd_bit0
0.000017     9357 nat.div2_bit0
0.000016     9358 encodable.decode_sum._match_1.equations._eqn_1
0.000016     9359 sum.no_confusion_type
0.000016     9360 sum.no_confusion
0.000017     9361 sum.inl.inj
0.000016     9362 sum.inl.inj_eq
0.000016     9363 encodable.encode_sum._main.equations._eqn_2
0.000017     9364 encodable.encode_sum.equations._eqn_2
0.000017     9365 nat.bodd_bit1
0.000016     9366 nat.div2_bit1
0.000016     9367 encodable.decode_sum._match_1.equations._eqn_2
0.000017     9368 sum.inr.inj
0.000016     9369 sum.inr.inj_eq
0.000017     9370 encodable.sum._proof_1
0.000016     9371 encodable.sum
0.000016     9372 punit.cases_on
0.000017     9373 iff_eq_of_eq_true_right
0.000017     9374 eq_iff_true_of_subsingleton
0.000016     9375 punit.rec_on
0.000017     9376 punit_eq
0.000016     9377 punit.subsingleton
0.000017     9378 encodable.unit._match_1
0.000016     9379 encodable.unit._proof_1
0.000017     9380 encodable.unit
0.000016     9381 sum.rec_on
0.000016     9382 equiv.bool_equiv_punit_sum_punit._proof_1
0.000017     9383 equiv.bool_equiv_punit_sum_punit._proof_2
0.000016     9384 equiv.bool_equiv_punit_sum_punit
0.000017     9385 encodable.bool
0.000016     9386 function.on_fun.equations._eqn_1
0.000016     9387 pairwise.equations._eqn_1
0.000017     9388 pairwise_on_bool
0.000016     9389 pairwise_disjoint_on_bool
0.000017     9390 bool.fintype._proof_1
0.000016     9391 finset.mk_zero
0.000016     9392 finset.mk_cons
0.000016     9393 is_lawful_singleton
0.000017     9394 is_lawful_singleton.insert_emptyc_eq
0.000016     9395 finset.is_lawful_singleton
0.000017     9396 bool.fintype._proof_2
0.000017     9397 bool.fintype
0.000016     9398 tsum_fintype
0.000017     9399 fintype.univ_bool
0.285352     9400 measure_theory.extend_union
0.000092     9401 generalized_boolean_algebra.inf_inf_sdiff
0.000024     9402 inf_inf_sdiff
0.000015     9403 sdiff_le
0.000014     9404 inf_sdiff_right
0.000133     9405 sdiff_inf_sdiff
0.000016     9406 inf_sdiff_self_right
0.000014     9407 set.inter_diff_self
0.000014     9408 set.disjoint_diff
0.000014     9409 decidable.and_iff_not_or_not
0.000014     9410 and_iff_not_or_not
0.000018     9411 set.inter_eq_compl_compl_union_compl
0.000020     9412 measurable_space.measurable_set_compl
0.000016     9413 measurable_set.compl
0.000017     9414 measurable_set.union
0.000015     9415 measurable_set.inter
0.000014     9416 measurable_set.diff
0.000017     9417 measure_theory.extend_mono
0.000019     9418 measure_theory.extend_Union_le_tsum_nat'
0.000014     9419 set.disjointed
0.000014     9420 supr_le_supr
0.000014     9421 set.Union_subset_Union
0.000018     9422 set.mem_bUnion
0.000017     9423 set.mem_bInter
0.000014     9424 set.subset_Union_disjointed
0.000015     9425 set.bUnion_subset_Union
0.000014     9426 set.Union_disjointed
0.000018     9427 set.disjointed.equations._eqn_1
0.000014     9428 nat.lt_succ_iff_lt_or_eq
0.000015     9429 set.Inter_lt_succ
0.000014     9430 set.disjointed_induct
0.000016     9431 measurable_set.disjointed
0.000017     9432 or.drec
0.000017     9433 set.disjoint_disjointed
0.000016     9434 measure_theory.extend_Union_le_tsum_nat
0.000017     9435 measure_theory.induced_outer_measure_eq_extend
0.000016     9436 measure_theory.measure.m_Union
0.000015     9437 measure_theory.measure_eq_extend
0.000014     9438 measure_theory.measure_Union
0.000015     9439 measure_theory.measure.has_add._proof_1
0.000016     9440 measure_theory.outer_measure.cases_on
0.000016     9441 measure_theory.outer_measure.coe_fn_injective
0.000017     9442 measure_theory.outer_measure.ext
0.000017     9443 fin.has_zero
0.000017     9444 nat.succ_lt_succ
0.000016     9445 fin.succ._main
0.000017     9446 fin.succ
0.000017     9447 order_embedding
0.000016     9448 fin.le
0.000017     9449 fin.has_le
0.000016     9450 order_embedding.of_strict_mono._proof_1
0.000016     9451 order_embedding.of_strict_mono
0.000017     9452 fin.lt
0.000016     9453 fin.has_lt
0.000016     9454 fin.fin_to_nat
0.000017     9455 fin.linear_order._proof_1
0.000016     9456 fin.linear_order._proof_2
0.000017     9457 fin.linear_order._proof_3
0.000016     9458 fin.linear_order._proof_4
0.000017     9459 fin.linear_order._proof_5
0.000016     9460 fin.decidable_le
0.000017     9461 fin.veq_of_eq
0.000016     9462 fin.decidable_eq._proof_1
0.000017     9463 fin.decidable_eq
0.000016     9464 fin.decidable_lt
0.000017     9465 fin.linear_order
0.000016     9466 fin.cast_lt
0.000017     9467 fin.cast_le._proof_1
0.000016     9468 fin.cast_le._proof_2
0.000017     9469 fin.cast_le
0.000016     9470 fin.cast_add
0.000016     9471 fin.cast_succ
0.000017     9472 fin.mk_zero
0.000016     9473 fin.induction._proof_1
0.000017     9474 nat.lt_of_succ_lt
0.000016     9475 fin.induction._proof_2
0.000016     9476 fin.induction
0.000017     9477 fin.cases
0.000016     9478 fin.cons
0.000017     9479 matrix.vec_cons
0.000016     9480 fin.elim0._main
0.000016     9481 fin.elim0
0.000017     9482 fin_zero_elim
0.000016     9483 matrix.vec_empty
0.000017     9484 measure_theory.outer_measure.mono'
0.000017     9485 measure_theory.extend_mono'
0.000016     9486 measure_theory.induced_outer_measure_eq_extend'
0.000016     9487 measure_theory.induced_outer_measure_eq'
0.000017     9488 measure_theory.induced_outer_measure_eq_infi
0.000016     9489 measure_theory.outer_measure.trim_eq_infi
0.000017     9490 is_compl_bot_top
0.000016     9491 compl_bot
0.000017     9492 set.compl_empty
0.000016     9493 measurable_set.univ
0.000017     9494 Inf_eq_top
0.000016     9495 infi_eq_top
0.000017     9496 measurable_set.of_compl
0.000016     9497 measurable_set.compl_iff
0.000017     9498 set.compl_Inter
0.000016     9499 measurable_set.Inter
0.000017     9500 ennreal.lt_inv_iff_lt_inv
0.000016     9501 gt_mem_nhds
0.000017     9502 ennreal.inv_lt_iff_inv_lt
0.000016     9503 lt_mem_nhds
0.000017     9504 ennreal.continuous_inv
0.000016     9505 ennreal.tendsto_inv_iff
0.000017     9506 ennreal.nhds_top
0.000017     9507 supr_congr
0.000016     9508 infi_congr
0.000017     9509 ennreal.ne_top_equiv_nnreal._match_1
0.000016     9510 ennreal.ne_top_equiv_nnreal._proof_1
0.000016     9511 ennreal.ne_top_equiv_nnreal._proof_2
0.000017     9512 ennreal.ne_top_equiv_nnreal
0.000016     9513 ennreal.cinfi_ne_top
0.000017     9514 ennreal.infi_ne_top
0.000016     9515 ennreal.nhds_top'
0.000016     9516 ennreal.tendsto_nhds_top_iff_nnreal
0.000017     9517 ennreal.tendsto_nhds_top_iff_nat
0.000016     9518 ennreal.tendsto_nhds_top
0.000017     9519 ennreal.coe_nat_lt_coe
0.000016     9520 ennreal.coe_nat_lt_coe_nat
0.000016     9521 ennreal.tendsto_nat_nhds_top
0.000017     9522 ennreal.tendsto_inv_nat_nhds_zero
0.000016     9523 measure_theory.outer_measure.exists_measurable_superset_eq_trim
0.000016     9524 has_le.le.trans_eq
0.000017     9525 measure_theory.outer_measure.trim_eq
0.333306     9526 measure_theory.outer_measure.exists_measurable_superset_forall_eq_trim
0.000094     9527 equiv.fin_equiv_subtype._proof_1
0.000023     9528 equiv.fin_equiv_subtype._proof_2
0.000015     9529 equiv.fin_equiv_subtype._match_1
0.000015     9530 equiv.fin_equiv_subtype._proof_3
0.000014     9531 equiv.fin_equiv_subtype._match_2
0.000014     9532 equiv.fin_equiv_subtype._proof_4
0.000014     9533 equiv.fin_equiv_subtype
0.000015     9534 encodable.fin
0.000014     9535 fin.forall_fin_succ
0.000024     9536 matrix.cons_val_zero
0.000020     9537 matrix.vec_cons.equations._eqn_1
0.000018     9538 fin.cons.equations._eqn_1
0.000016     9539 fin.cases_succ
0.000015     9540 fin.cons_succ
0.000014     9541 matrix.cons_val_succ
0.000018     9542 measure_theory.outer_measure.trim_binop
0.000015     9543 measure_theory.outer_measure.add_apply
0.000018     9544 measure_theory.outer_measure.trim_add
0.000017     9545 measure_theory.measure.has_add._proof_2
0.000015     9546 measure_theory.measure.has_add
0.000014     9547 measure_theory.outer_measure.has_zero._proof_1
0.000017     9548 measure_theory.outer_measure.has_zero._proof_2
0.000014     9549 measure_theory.outer_measure.has_zero._proof_3
0.000017     9550 measure_theory.outer_measure.has_zero
0.000017     9551 measure_theory.measure.has_zero._proof_1
0.000015     9552 measure_theory.outer_measure.trim_zero
0.000014     9553 measure_theory.measure.has_zero
0.000017     9554 pi.has_add
0.000014     9555 pi.add_comm_monoid._proof_1
0.000018     9556 pi.has_zero
0.000017     9557 pi.add_comm_monoid._proof_2
0.000014     9558 pi.add_comm_monoid._proof_3
0.000014     9559 pi.add_comm_monoid._proof_4
0.000029     9560 pi.add_comm_monoid
0.000019     9561 measure_theory.outer_measure.add_comm_monoid._proof_1
0.000016     9562 measure_theory.outer_measure.add_comm_monoid._proof_2
0.000017     9563 measure_theory.outer_measure.add_comm_monoid._proof_3
0.000015     9564 measure_theory.outer_measure.add_comm_monoid._proof_4
0.000016     9565 measure_theory.outer_measure.add_comm_monoid
0.000018     9566 measure_theory.measure.cases_on
0.000016     9567 measure_theory.measure.to_outer_measure_injective
0.000017     9568 measure_theory.measure.zero_to_outer_measure
0.000016     9569 measure_theory.measure.add_to_outer_measure
0.000017     9570 measure_theory.measure.add_comm_monoid
0.000016     9571 one_smul
0.000016     9572 function.injective.mul_action._proof_1
0.000017     9573 function.injective.mul_action._proof_2
0.000017     9574 function.injective.mul_action
0.000017     9575 function.injective.distrib_mul_action._proof_1
0.000016     9576 function.injective.distrib_mul_action._proof_2
0.000017     9577 distrib_mul_action.smul_add
0.000016     9578 smul_add
0.000016     9579 function.injective.distrib_mul_action._proof_3
0.000017     9580 function.injective.distrib_mul_action._proof_4
0.000017     9581 function.injective.distrib_mul_action
0.000016     9582 function.injective.semimodule._proof_1
0.000017     9583 function.injective.semimodule._proof_2
0.000016     9584 function.injective.semimodule._proof_3
0.000016     9585 function.injective.semimodule._proof_4
0.000017     9586 semimodule.add_smul
0.000017     9587 add_smul
0.000016     9588 function.injective.semimodule._proof_5
0.000017     9589 smul_with_zero.zero_smul
0.000016     9590 zero_smul
0.000017     9591 function.injective.semimodule._proof_6
0.000016     9592 function.injective.semimodule
0.000017     9593 measure_theory.outer_measure.has_scalar._proof_1
0.000016     9594 canonically_ordered_semiring.mul_le_mul
0.000017     9595 ennreal.mul_le_mul
0.000016     9596 ennreal.mul_left_mono
0.000017     9597 measure_theory.outer_measure.has_scalar._proof_2
0.000016     9598 filter.prod_comm'
0.000017     9599 filter.prod_comm
0.000016     9600 nhds_swap
0.000017     9601 with_top.lt_iff_exists_coe_btwn
0.000016     9602 ennreal.lt_iff_exists_nnreal_btwn
0.000016     9603 ennreal.mul_lt_mul
0.000017     9604 ennreal.tendsto_mul
0.000016     9605 ennreal.tendsto.mul
0.000017     9606 ennreal.tendsto.const_mul
0.000017     9607 ennreal.tsum_mul_left
0.000016     9608 rel_supr_tsum
0.000017     9609 measure_theory.outer_measure.Union
0.000016     9610 measure_theory.outer_measure.has_scalar._proof_3
0.000017     9611 measure_theory.outer_measure.has_scalar
0.000017     9612 pi.add_monoid._proof_1
0.000016     9613 pi.add_monoid._proof_2
0.000016     9614 pi.add_monoid._proof_3
0.000017     9615 pi.add_monoid
0.000014     9616 pi.has_scalar
0.000016     9617 pi.mul_action._proof_1
0.000017     9618 pi.mul_action._proof_2
0.000017     9619 pi.mul_action
0.000016     9620 pi.distrib_mul_action._proof_1
0.000017     9621 pi.distrib_mul_action._proof_2
0.000016     9622 pi.distrib_mul_action._proof_3
0.000017     9623 pi.distrib_mul_action._proof_4
0.000016     9624 pi.distrib_mul_action
0.000016     9625 pi.semimodule._proof_1
0.000017     9626 pi.semimodule._proof_2
0.000016     9627 pi.semimodule._proof_3
0.000017     9628 pi.semimodule._proof_4
0.000016     9629 pi.semimodule
0.258457     9630 monoid.to_mul_action._proof_1
0.000093     9631 monoid.to_mul_action._proof_2
0.000022     9632 monoid.to_mul_action
0.000015     9633 semiring.to_semimodule._proof_1
0.000021     9634 semiring.to_semimodule._proof_2
0.000023     9635 semiring.to_semimodule._proof_3
0.000016     9636 semiring.to_semimodule._proof_4
0.000014     9637 semiring.to_semimodule
0.000014     9638 measure_theory.outer_measure.coe_zero
0.000017     9639 measure_theory.outer_measure.coe_add
0.000018     9640 mul_zero_class.to_smul_with_zero
0.000016     9641 measure_theory.outer_measure.coe_smul
0.000015     9642 measure_theory.outer_measure.semimodule._proof_1
0.000014     9643 measure_theory.outer_measure.semimodule._proof_2
0.000018     9644 measure_theory.outer_measure.semimodule._proof_3
0.000019     9645 measure_theory.outer_measure.semimodule._proof_4
0.000017     9646 measure_theory.outer_measure.semimodule._proof_5
0.000017     9647 measure_theory.outer_measure.semimodule._proof_6
0.000014     9648 measure_theory.outer_measure.semimodule
0.000026     9649 measure_theory.outer_measure.measure_of_eq_coe
0.000015     9650 measure_theory.coe_to_outer_measure
0.000014     9651 pi.smul_apply
0.000014     9652 algebra.id.smul_eq_mul
0.000018     9653 measure_theory.measure.has_scalar._proof_1
0.000017     9654 measure_theory.outer_measure.trim_op
0.000014     9655 measure_theory.outer_measure.smul_apply
0.000014     9656 measure_theory.outer_measure.trim_smul
0.000018     9657 measure_theory.measure.has_scalar._proof_2
0.000018     9658 measure_theory.measure.has_scalar
0.000017     9659 measure_theory.measure.smul_to_outer_measure
0.000016     9660 measure_theory.measure.semimodule
0.000017     9661 linear_map.to_fun
0.000017     9662 linear_map.has_coe_to_fun
0.000017     9663 measurable_space.partial_order._proof_1
0.000016     9664 measurable_space.partial_order._proof_2
0.000016     9665 measurable_space.partial_order._proof_3
0.000017     9666 measurable_space.cases_on
0.000017     9667 measurable_space.ext
0.000016     9668 measurable_space.partial_order._proof_4
0.000017     9669 measurable_space.partial_order
0.000016     9670 measurable_space.dynkin_system
0.000016     9671 measurable_space.dynkin_system.has
0.000017     9672 measurable_space.dynkin_system.has_empty
0.000017     9673 measurable_space.dynkin_system.has_compl
0.000016     9674 measurable_space.dynkin_system.to_measurable_space._proof_1
0.000016     9675 measurable_space.dynkin_system.has_Union_nat
0.000017     9676 measurable_space.dynkin_system.has_Union
0.000016     9677 measurable_space.dynkin_system.to_measurable_space._proof_2
0.000016     9678 measurable_space.dynkin_system.to_measurable_space
0.000017     9679 measure_theory.outer_measure.is_caratheodory
0.000017     9680 measure_theory.outer_measure.is_caratheodory.equations._eqn_1
0.000016     9681 disjoint.sdiff_eq_left
0.000017     9682 disjoint_bot_right
0.000016     9683 sdiff_bot
0.000017     9684 set.diff_empty
0.000016     9685 set.inhabited
0.000016     9686 measure_theory.outer_measure.is_caratheodory_empty
0.000016     9687 measure_theory.outer_measure.is_caratheodory_compl
0.000017     9688 measure_theory.outer_measure.caratheodory_dynkin._proof_1
0.000017     9689 set.inter_union_diff
0.000016     9690 supr_bool_eq
0.000017     9691 fintype.sum_bool
0.000016     9692 rel_sup_add
0.000016     9693 measure_theory.outer_measure.union
0.000017     9694 measure_theory.outer_measure.le_inter_add_diff
0.000016     9695 measure_theory.outer_measure.is_caratheodory_iff_le'
0.000015     9696 set.inter_Union
0.000014     9697 set.Union_lt_succ
0.000014     9698 set.union_inter_cancel_left
0.000017     9699 le_of_inf_le_sup_le
0.000017     9700 eq_of_inf_eq_sup_eq
0.000016     9701 sdiff_unique
0.000017     9702 inf_sdiff_assoc
0.000017     9703 set.inter_diff_assoc
0.000016     9704 disjoint.sdiff_eq_of_sup_eq
0.000017     9705 disjoint.sup_sdiff_cancel_left
0.000016     9706 set.union_diff_cancel_left
0.000017     9707 measure_theory.outer_measure.measure_inter_union
0.000016     9708 measure_theory.outer_measure.is_caratheodory_sum
0.000017     9709 Sup_range
0.000016     9710 filter.eventually.filter_mono
0.000016     9711 filter.frequently.filter_mono
0.000017     9712 pure_le_nhds_within
0.000016     9713 mem_of_mem_nhds_within
0.000016     9714 filter.eventually.self_of_nhds_within
0.000017     9715 set.dual_Ioi
0.000016     9716 set.dual_Icc
0.000017     9717 set.Ici_inter_Iio
0.000016     9718 set.Ico_subset_Ico
0.000016     9719 set.Ico_subset_Ico_left
0.000017     9720 Ico_mem_nhds_within_Ici
0.000016     9721 set.Icc_subset_Ici_self
0.000017     9722 set.Ico_subset_Icc_self
0.000016     9723 Icc_mem_nhds_within_Ici
0.000016     9724 nhds_within_Icc_eq_nhds_within_Ici
0.000017     9725 nhds_within_Ico_eq_nhds_within_Ici
0.000016     9726 tfae_mem_nhds_within_Ici
0.000017     9727 tfae_mem_nhds_within_Iic
0.000016     9728 list.nth._main.equations._eqn_2
0.397252     9729 list.nth.equations._eqn_2
0.000092     9730 auto_param_eq
0.000024     9731 list.nth._main.equations._eqn_3
0.000014     9732 list.nth.equations._eqn_3
0.000015     9733 mem_nhds_within_Iic_iff_exists_Ioc_subset'
0.000014     9734 is_lub.exists_between
0.000013     9735 is_lub.frequently_mem
0.000015     9736 is_lub.frequently_nhds_mem
0.000014     9737 is_lub.mem_closure
0.000014     9738 is_lub.nhds_within_ne_bot
0.000017     9739 is_lub.inter_Ici_of_mem
0.000017     9740 is_lub.mem_upper_bounds_of_tendsto
0.000016     9741 le_of_tendsto
0.000015     9742 is_lub.is_lub_of_tendsto
0.000014     9743 ennreal.bsupr_add
0.000018     9744 ennreal.Sup_add
0.000015     9745 ennreal.supr_add
0.000014     9746 sdiff_le_sdiff_self
0.000016     9747 set.diff_subset_diff_right
0.000018     9748 ge_of_eq
0.000016     9749 sup_bot_eq
0.000015     9750 sup_sdiff
0.000014     9751 sdiff_self
0.000017     9752 sup_sdiff_right_self
0.000015     9753 sup_sdiff_left_self
0.000014     9754 set.union_diff_left
0.000017     9755 set.inter_left_comm
0.000016     9756 compl_sup
0.000015     9757 set.compl_union
0.000014     9758 measure_theory.outer_measure.is_caratheodory_union
0.000017     9759 measure_theory.outer_measure.is_caratheodory_Union_lt
0.000015     9760 measure_theory.outer_measure.is_caratheodory_Union_nat
0.000018     9761 measure_theory.outer_measure.caratheodory_dynkin._proof_2
0.000016     9762 measure_theory.outer_measure.caratheodory_dynkin
0.000015     9763 measure_theory.outer_measure.is_caratheodory_compl_iff
0.000014     9764 measure_theory.outer_measure.is_caratheodory_inter
0.000017     9765 measure_theory.outer_measure.caratheodory._proof_1
0.000015     9766 measure_theory.outer_measure.caratheodory
0.000016     9767 measure_theory.measure.of_measurable._proof_1
0.000018     9768 measure_theory.measure.of_measurable._proof_2
0.000016     9769 measure_theory.measure.of_measurable._proof_3
0.000017     9770 measure_theory.measure.of_measurable._proof_4
0.000016     9771 measure_theory.measure.of_measurable._proof_5
0.000016     9772 measure_theory.induced_outer_measure_eq
0.000017     9773 measure_theory.measure.of_measurable._proof_6
0.000016     9774 measure_theory.outer_measure.trim.equations._eqn_1
0.000017     9775 measure_theory.measure.of_measurable._proof_7
0.000016     9776 measure_theory.measure.of_measurable
0.000017     9777 measure_theory.outer_measure.f_Union
0.000017     9778 measure_theory.outer_measure.Union_eq_of_caratheodory
0.000016     9779 measure_theory.outer_measure.to_measure._proof_1
0.000016     9780 measure_theory.outer_measure.to_measure
0.000016     9781 measure_theory.outer_measure.trim_congr
0.000015     9782 measure_theory.measure.ext
0.000014     9783 linear_map.map_add'
0.000017     9784 linear_map.map_add
0.000016     9785 measure_theory.to_measure_apply
0.000016     9786 pi.add_apply
0.000017     9787 measure_theory.measure.coe_add
0.000016     9788 measure_theory.measure.lift_linear._proof_1
0.000016     9789 linear_map.map_smul'
0.000017     9790 linear_map.map_smul
0.000016     9791 measure_theory.measure.coe_smul
0.000017     9792 measure_theory.measure.lift_linear._proof_2
0.000016     9793 measure_theory.measure.lift_linear
0.000017     9794 linear_map.comp._proof_1
0.000016     9795 has_one.nonempty
0.000016     9796 linear_map.comp._proof_2
0.000017     9797 linear_map.comp
0.000016     9798 measure_theory.outer_measure.map._proof_1
0.000017     9799 measure_theory.outer_measure.map._proof_2
0.000016     9800 measure_theory.outer_measure.map._proof_3
0.000016     9801 measure_theory.outer_measure.map._proof_4
0.000017     9802 measure_theory.outer_measure.map
0.000016     9803 measure_theory.outer_measure.comap._proof_1
0.000017     9804 measure_theory.outer_measure.comap._proof_2
0.000016     9805 exists_swap
0.000016     9806 set.image_Union
0.000016     9807 measure_theory.outer_measure.comap._proof_3
0.000017     9808 measure_theory.outer_measure.comap._proof_4
0.000016     9809 measure_theory.outer_measure.comap._proof_5
0.000016     9810 measure_theory.outer_measure.comap
0.000017     9811 measure_theory.outer_measure.restrict
0.000016     9812 measure_theory.outer_measure.restrict.equations._eqn_1
0.000016     9813 linear_map.coe_comp
0.000031     9814 measure_theory.outer_measure.map_apply
0.000017     9815 measure_theory.outer_measure.comap_apply
0.000015     9816 subtype.image_preimage_coe
0.000014     9817 measure_theory.outer_measure.restrict_apply
0.000017     9818 measure_theory.to_outer_measure_eq_induced_outer_measure
0.000015     9819 measure_theory.outer_measure.is_caratheodory_iff_le
0.000014     9820 set.Union_inter
0.000017     9821 set.inter_subset_inter_left
0.000016     9822 set.Union_diff
0.000017     9823 sdiff_le_self_sdiff
0.000016     9824 set.diff_subset_diff_left
0.000016     9825 measure_theory.outer_measure.of_function_caratheodory
0.000017     9826 measure_theory.measure_union
0.156979     9827 measure_theory.le_to_outer_measure_caratheodory
0.000092     9828 measure_theory.measure.restrictₗ._proof_1
0.000023     9829 measure_theory.measure.restrictₗ
0.000015     9830 measure_theory.measure.restrict
0.000014     9831 measure_theory.measure.restrictₗ_apply
0.000015     9832 measure_theory.measure.restrictₗ.equations._eqn_1
0.000014     9833 measure_theory.measure.lift_linear_apply
0.000014     9834 measure_theory.measure.restrict_apply
0.000014     9835 set.pairwise_on
0.000014     9836 finset.attach_eq_univ
0.000019     9837 supr_subtype
0.000017     9838 supr_subtype'
0.000017     9839 set.bUnion_eq_Union
0.000016     9840 set.pairwise_on.on_injective
0.000017     9841 measure_theory.measure_bUnion
0.000016     9842 trunc
0.000017     9843 trunc.mk
0.000014     9844 trunc.exists_rep
0.000014     9845 trunc.nonempty
0.000016     9846 pi.subsingleton
0.000015     9847 trunc.ind
0.000016     9848 trunc.induction_on
0.000017     9849 trunc.induction_on₂
0.000017     9850 trunc.eq
0.000017     9851 trunc.subsingleton
0.000016     9852 encodable.trunc_encodable_of_fintype._proof_1
0.000017     9853 list.find_index._main
0.000016     9854 list.find_index
0.000016     9855 list.index_of
0.000016     9856 list.index_of_cons
0.000016     9857 nat.succ_inj'
0.000017     9858 list.index_of_eq_length
0.000016     9859 list.index_of_le_length
0.000016     9860 list.index_of_lt_length
0.000017     9861 list.nth_le._main.equations._eqn_2
0.000016     9862 list.nth_le.equations._eqn_2
0.000017     9863 list.nth_le._main._proof_1
0.000016     9864 list.nth_le._main.equations._eqn_3
0.000017     9865 list.nth_le.equations._eqn_3
0.000016     9866 list.index_of_nth_le
0.000016     9867 list.index_of_nth
0.000015     9868 encodable.encodable_of_list._proof_1
0.000014     9869 encodable.encodable_of_list
0.000016     9870 encodable.trunc_encodable_of_fintype
0.000017     9871 set.finite.countable
0.000017     9872 finset.countable_to_set
0.000016     9873 measure_theory.measure_bUnion_finset
0.000017     9874 pairwise.pairwise_on
0.000016     9875 measure_theory.measure_mono
0.000016     9876 set.bUnion_subset_bUnion_right
0.000017     9877 set.disjointed_subset
0.000016     9878 option.to_finset._match_1
0.000016     9879 option.to_finset
0.000017     9880 option.to_finset.equations._eqn_1
0.000017     9881 option.to_finset._match_1.equations._eqn_1
0.000016     9882 option.to_finset._match_1.equations._eqn_2
0.000016     9883 option.mem_to_finset
0.000017     9884 finset.supr_option_to_finset
0.000016     9885 finset.set_bUnion_option_to_finset
0.000017     9886 infi_exists
0.000016     9887 supr_exists
0.000017     9888 finset.supr_bUnion
0.000016     9889 finset.set_bUnion_bUnion
0.000016     9890 set.Union.equations._eqn_1
0.000017     9891 supr_of_empty'
0.000016     9892 supr_of_empty
0.000016     9893 measure_theory.measure_empty
0.000017     9894 measure_theory.measure_Union_eq_supr
0.000017     9895 measure_theory.measure.restrict_Union_apply_eq_supr
0.000016     9896 subfield
0.000016     9897 subring
0.000017     9898 subring.carrier
0.000016     9899 submonoid
0.000017     9900 submonoid.carrier
0.000016     9901 set_like
0.000016     9902 set_like.coe
0.000017     9903 set_like.set.has_coe_t
0.000016     9904 submonoid.cases_on
0.000017     9905 submonoid.set_like._proof_1
0.000016     9906 submonoid.set_like
0.000016     9907 set_like.has_mem
0.000017     9908 submonoid.one_mem'
0.000016     9909 submonoid.one_mem
0.000017     9910 submonoid.comap._proof_1
0.000016     9911 submonoid.mul_mem'
0.000016     9912 submonoid.mul_mem
0.000017     9913 submonoid.comap._proof_2
0.000016     9914 submonoid.comap
0.000016     9915 ring_hom.to_monoid_hom
0.000017     9916 ring_hom.has_coe_monoid_hom
0.000016     9917 subsemiring
0.000017     9918 subsemiring.carrier
0.000016     9919 subsemiring.one_mem'
0.000016     9920 subsemiring.mul_mem'
0.000017     9921 subsemiring.to_submonoid
0.000016     9922 subring.one_mem'
0.000016     9923 subring.mul_mem'
0.000017     9924 subring.zero_mem'
0.000016     9925 subring.add_mem'
0.000017     9926 subring.to_subsemiring
0.000016     9927 subring.to_submonoid._proof_1
0.000017     9928 subring.to_submonoid._proof_2
0.000016     9929 subring.to_submonoid
0.000016     9930 subring.comap._proof_1
0.000017     9931 subring.comap._proof_2
0.000016     9932 add_subgroup
0.000016     9933 add_subgroup.carrier
0.000017     9934 add_subgroup.cases_on
0.000016     9935 add_subgroup.set_like._proof_1
0.000016     9936 add_subgroup.set_like
0.000017     9937 add_submonoid
0.000016     9938 add_submonoid.carrier
0.000017     9939 add_submonoid.cases_on
0.000016     9940 add_submonoid.set_like._proof_1
0.000016     9941 add_submonoid.set_like
0.000017     9942 add_submonoid.zero_mem'
0.000016     9943 add_submonoid.zero_mem
0.000016     9944 add_submonoid.comap._proof_1
0.000017     9945 add_submonoid.add_mem'
0.000016     9946 add_submonoid.add_mem
0.000016     9947 add_submonoid.comap._proof_2
0.000017     9948 add_submonoid.comap
0.000016     9949 add_subgroup.zero_mem'
0.000016     9950 add_subgroup.add_mem'
0.000017     9951 add_subgroup.to_add_submonoid
0.000016     9952 add_subgroup.comap._proof_1
0.128796     9953 add_subgroup.comap._proof_2
0.000088     9954 add_monoid_hom.map_neg
0.000024     9955 add_subgroup.neg_mem'
0.000014     9956 add_subgroup.neg_mem
0.000015     9957 add_subgroup.comap._proof_3
0.000014     9958 add_subgroup.comap
0.000014     9959 subring.neg_mem'
0.000015     9960 subring.to_add_subgroup
0.000014     9961 subring.comap._proof_3
0.000014     9962 subring.comap._proof_4
0.000020     9963 subring.comap._proof_5
0.000017     9964 subring.comap
0.000016     9965 subfield.carrier
0.000017     9966 subfield.one_mem'
0.000014     9967 subfield.mul_mem'
0.000015     9968 subfield.zero_mem'
0.000014     9969 subfield.add_mem'
0.000014     9970 subfield.neg_mem'
0.000014     9971 subfield.to_subring
0.000017     9972 subfield.comap._proof_1
0.000016     9973 subfield.comap._proof_2
0.000015     9974 subfield.comap._proof_3
0.000014     9975 subfield.comap._proof_4
0.000016     9976 subfield.comap._proof_5
0.000015     9977 subfield.cases_on
0.000017     9978 subfield.set_like._proof_1
0.000017     9979 subfield.set_like
0.000015     9980 subfield.inv_mem'
0.000014     9981 subfield.inv_mem
0.000017     9982 subfield.comap._proof_6
0.000014     9983 subfield.comap
0.000018     9984 subfield.comap.equations._eqn_1
0.000017     9985 submodule
0.000014     9986 set_like.coe_injective'
0.000015     9987 set_like.coe_injective
0.000016     9988 set_like.partial_order._proof_1
0.000015     9989 set_like.partial_order._proof_2
0.000016     9990 set_like.partial_order._proof_3
0.000015     9991 set_like.partial_order._proof_4
0.000017     9992 set_like.partial_order
0.000017     9993 submodule.carrier
0.000016     9994 submodule.cases_on
0.000017     9995 submodule.set_like._proof_1
0.000016     9996 submodule.set_like
0.000016     9997 submodule.order_bot._proof_2
0.000017     9998 stream
0.000016     9999 stream.is_seq
0.000016    10000 seq
0.000017    10001 generalized_continued_fraction.pair
0.000016    10002 generalized_continued_fraction
0.000016    10003 stream.nth
0.000024    10004 stream.map
0.000025    10005 generalized_continued_fraction.pair.b
0.000017    10006 stream.tail
0.000017    10007 generalized_continued_fraction.h
0.000017    10008 generalized_continued_fraction.next_numerator
0.000017    10009 generalized_continued_fraction.pair.a
0.000016    10010 generalized_continued_fraction.next_denominator
0.000017    10011 generalized_continued_fraction.next_continuants
0.000017    10012 generalized_continued_fraction.continuants_aux._match_1
0.000016    10013 seq.nth
0.000017    10014 generalized_continued_fraction.s
0.000016    10015 generalized_continued_fraction.continuants_aux._main
0.000016    10016 generalized_continued_fraction.continuants_aux
0.000017    10017 generalized_continued_fraction.continuants
0.000020    10018 generalized_continued_fraction.denominators
0.000024    10019 generalized_continued_fraction.denominators.equations._eqn_1
0.000018    10020 finset.card
0.000016    10021 is_primitive_root
0.000017    10022 add_monoid_algebra
0.000017    10023 polynomial
0.000016    10024 finsupp.sum
0.000017    10025 finset.filter_congr_decidable
0.000017    10026 finsupp.on_finset._proof_1
0.000016    10027 finsupp.on_finset
0.000017    10028 finsupp.mem_support_iff
0.000017    10029 finsupp.zip_with._proof_1
0.000016    10030 finsupp.zip_with
0.000021    10031 finsupp.has_add._proof_1
0.000022    10032 finsupp.has_add
0.000017    10033 finsupp.cases_on
0.000017    10034 finsupp.coe_fn_injective
0.000016    10035 finsupp.ext
0.000016    10036 finsupp.add_monoid._match_1
0.000017    10037 finsupp.add_monoid._match_2
0.000016    10038 finsupp.add_monoid._match_3
0.000017    10039 finsupp.add_monoid._proof_1
0.000016    10040 finsupp.has_zero._proof_1
0.000017    10041 finsupp.has_zero
0.000016    10042 finsupp.add_zero_class._match_1
0.000017    10043 finsupp.add_zero_class._proof_1
0.000016    10044 finsupp.add_zero_class._match_2
0.000017    10045 finsupp.add_zero_class._proof_2
0.000016    10046 finsupp.add_zero_class
0.000016    10047 finsupp.add_monoid._proof_2
0.000017    10048 finsupp.add_monoid._proof_3
0.000016    10049 finsupp.add_monoid
0.000017    10050 finsupp.add_comm_monoid._proof_1
0.000016    10051 finsupp.add_comm_monoid._proof_2
0.000017    10052 finsupp.add_comm_monoid._proof_3
0.000016    10053 finsupp.add_comm_monoid._match_1
0.000016    10054 finsupp.add_comm_monoid._match_2
0.000017    10055 finsupp.add_comm_monoid._proof_4
0.000016    10056 finsupp.add_comm_monoid
0.000016    10057 add_monoid_algebra.add_comm_monoid
0.000017    10058 finsupp.single._proof_1
0.000016    10059 finsupp.single
0.000016    10060 add_monoid_algebra.has_mul
0.000017    10061 add_monoid_algebra.mul_def
0.000014    10062 finsupp.add_apply
0.000017    10063 finsupp.not_mem_support_iff
0.000016    10064 finsupp.sum_of_support_subset
0.000016    10065 finsupp.support_on_finset_subset
0.000017    10066 finsupp.support_zip_with
0.000016    10067 finsupp.support_add
0.000017    10068 finsupp.sum_add_index
0.000016    10069 function.update
0.000016    10070 finsupp.single_apply
0.000017    10071 set.indicator.equations._eqn_1
0.154527    10072 finsupp.single_eq_indicator
0.000086    10073 set.piecewise_eq_indicator
0.000023    10074 function.update_same
0.000015    10075 function.update_noteq
0.000014    10076 set.piecewise_singleton
0.000014    10077 finsupp.single_eq_update
0.000015    10078 finsupp.coe_zero
0.000014    10079 function.funext_iff
0.000014    10080 function.forall_update_iff
0.000014    10081 function.update_eq_iff
0.000019    10082 function.update_eq_self
0.000017    10083 finsupp.single_zero
0.000017    10084 finsupp.single_eq_same
0.000017    10085 finsupp.single_eq_of_ne
0.000014    10086 finsupp.single_add
0.000014    10087 finsupp.sum_add
0.000014    10088 add_monoid_algebra.distrib._proof_1
0.000015    10089 finsupp.sum_zero
0.000017    10090 add_monoid_algebra.distrib._proof_2
0.000017    10091 add_monoid_algebra.distrib
0.000015    10092 add_monoid_algebra.semiring._proof_1
0.000014    10093 finsupp.sum_zero_index
0.000018    10094 add_monoid_algebra.mul_zero_class._proof_1
0.000015    10095 add_monoid_algebra.mul_zero_class._proof_2
0.000014    10096 add_monoid_algebra.mul_zero_class
0.000017    10097 add_monoid_algebra.semiring._proof_2
0.000016    10098 add_monoid_algebra.semiring._proof_3
0.000015    10099 add_monoid_algebra.semiring._proof_4
0.000014    10100 finsupp.sum_finset_sum_index
0.000018    10101 finsupp.sum_sum_index
0.000015    10102 finsupp.support_single_subset
0.000017    10103 finsupp.sum_single_index
0.000016    10104 add_monoid_algebra.semigroup._proof_1
0.000017    10105 add_monoid_algebra.semigroup
0.000017    10106 add_monoid_algebra.semiring._proof_5
0.000016    10107 add_monoid_algebra.has_one
0.000017    10108 add_monoid_algebra.one_def
0.000017    10109 add_equiv
0.000016    10110 add_monoid_hom.has_add._proof_1
0.000017    10111 add_monoid_hom.has_add._proof_2
0.000016    10112 add_monoid_hom.has_add
0.000017    10113 add_equiv.to_fun
0.000016    10114 add_equiv.has_coe_to_fun
0.000017    10115 finsupp.lift_add_hom._proof_1
0.000016    10116 finsupp.lift_add_hom._proof_2
0.000016    10117 finsupp.single_add_hom._proof_1
0.000017    10118 finsupp.single_add_hom._proof_2
0.000016    10119 finsupp.single_add_hom
0.000017    10120 add_monoid_hom.coe_comp
0.000017    10121 add_monoid_hom.coe_mk
0.000016    10122 finsupp.single_add_hom_apply
0.000017    10123 finsupp.lift_add_hom._proof_3
0.000016    10124 add_submonoid.has_Inf._proof_1
0.000017    10125 add_submonoid.has_Inf._proof_2
0.000016    10126 add_submonoid.has_Inf
0.000017    10127 add_submonoid.closure
0.000016    10128 add_submonoid.has_top._proof_1
0.000017    10129 add_submonoid.has_top._proof_2
0.000016    10130 add_submonoid.has_top
0.000017    10131 add_monoid_hom.eq_of_eq_on_mtop
0.000016    10132 add_monoid_hom.eq_mlocus._proof_1
0.000017    10133 add_monoid_hom.eq_mlocus._proof_2
0.000016    10134 add_monoid_hom.eq_mlocus
0.000017    10135 add_submonoid.mem_Inf
0.000016    10136 add_submonoid.mem_closure
0.000017    10137 add_submonoid.subset_closure
0.000016    10138 complete_lattice_of_Inf._proof_1
0.000017    10139 complete_lattice_of_Inf._proof_2
0.000017    10140 complete_lattice_of_Inf._proof_3
0.000016    10141 set.mem_insert
0.000017    10142 complete_lattice_of_Inf._proof_4
0.000017    10143 set.mem_insert_of_mem
0.000016    10144 complete_lattice_of_Inf._proof_5
0.000016    10145 upper_bounds_union
0.000017    10146 lower_bounds_union
0.000016    10147 is_glb.lower_bounds_eq
0.000017    10148 lower_bounds_singleton
0.000016    10149 lower_bounds_insert
0.000017    10150 complete_lattice_of_Inf._proof_6
0.000016    10151 complete_lattice_of_Inf._proof_7
0.000016    10152 complete_lattice_of_Inf._proof_8
0.000015    10153 complete_lattice_of_Inf._proof_9
0.000014    10154 complete_lattice_of_Inf._proof_10
0.000017    10155 complete_lattice_of_Inf._proof_11
0.000017    10156 complete_lattice_of_Inf._proof_12
0.000016    10157 complete_lattice_of_Inf
0.000017    10158 is_glb.of_image
0.000016    10159 set_like.coe_subset_coe
0.000017    10160 is_glb_infi
0.000017    10161 is_glb_binfi
0.000016    10162 add_submonoid.complete_lattice._proof_1
0.000017    10163 add_submonoid.complete_lattice._proof_2
0.000016    10164 add_submonoid.complete_lattice._proof_3
0.000017    10165 add_submonoid.complete_lattice._proof_4
0.000016    10166 add_submonoid.complete_lattice._proof_5
0.000017    10167 add_submonoid.complete_lattice._proof_6
0.000016    10168 add_submonoid.complete_lattice._proof_7
0.000017    10169 add_submonoid.complete_lattice._proof_8
0.000016    10170 add_submonoid.has_inf._proof_1
0.000017    10171 add_submonoid.has_inf._match_1
0.000016    10172 add_submonoid.has_inf._match_2
0.000017    10173 add_submonoid.has_inf._proof_2
0.000016    10174 add_submonoid.has_inf
0.000017    10175 add_submonoid.complete_lattice._proof_9
0.000017    10176 add_submonoid.complete_lattice._proof_10
0.000016    10177 add_submonoid.complete_lattice._proof_11
0.000016    10178 add_submonoid.mem_top
0.000017    10179 add_submonoid.complete_lattice._proof_12
0.000017    10180 add_submonoid.has_bot._proof_1
0.191109    10181 add_submonoid.has_bot._proof_2
0.000092    10182 add_submonoid.has_bot
0.000024    10183 add_submonoid.mem_bot
0.000014    10184 add_submonoid.complete_lattice._proof_13
0.000014    10185 add_submonoid.complete_lattice._proof_14
0.000014    10186 add_submonoid.complete_lattice._proof_15
0.000015    10187 add_submonoid.complete_lattice._proof_16
0.000014    10188 add_submonoid.complete_lattice._proof_17
0.000014    10189 add_submonoid.complete_lattice
0.000014    10190 add_submonoid.closure_le
0.000017    10191 add_monoid_hom.eq_on_mclosure
0.000017    10192 add_monoid_hom.eq_of_eq_on_mdense
0.000016    10193 finsupp.fun_support_eq
0.000017    10194 finset.coe_empty
0.000016    10195 finset.coe_eq_empty
0.000015    10196 finsupp.coe_fn_inj
0.000014    10197 finsupp.coe_eq_zero
0.000017    10198 pi.zero_apply
0.000015    10199 function.support_eq_empty_iff
0.000017    10200 finsupp.support_eq_empty
0.000017    10201 finsupp.erase._proof_1
0.000014    10202 finsupp.erase
0.000015    10203 finsupp.erase_same
0.000017    10204 finsupp.erase_ne
0.000014    10205 finsupp.single_add_erase
0.000017    10206 finsupp.support_erase
0.000017    10207 finsupp.induction
0.000017    10208 finsupp.add_closure_Union_range_single
0.000016    10209 finsupp.add_hom_ext
0.000016    10210 finsupp.add_hom_ext'
0.000017    10211 finsupp.lift_add_hom._proof_4
0.000016    10212 add_monoid_hom.add_apply
0.000016    10213 finsupp.lift_add_hom._proof_5
0.000017    10214 finsupp.lift_add_hom
0.000016    10215 add_monoid_hom.id._proof_1
0.000016    10216 add_monoid_hom.id._proof_2
0.000017    10217 add_monoid_hom.id
0.000016    10218 add_equiv.inv_fun
0.000017    10219 add_equiv.left_inv
0.000016    10220 add_equiv.right_inv
0.000016    10221 add_equiv.to_equiv
0.000017    10222 equiv.apply_eq_iff_eq_symm_apply
0.000016    10223 finsupp.lift_add_hom_single_add_hom
0.000017    10224 finsupp.sum_single
0.000016    10225 add_monoid_algebra.mul_one_class._proof_1
0.000016    10226 add_monoid_algebra.mul_one_class._proof_2
0.000017    10227 add_monoid_algebra.mul_one_class
0.000016    10228 add_monoid_algebra.semiring._proof_6
0.000017    10229 add_monoid_algebra.semiring._proof_7
0.000017    10230 add_monoid_algebra.semiring._proof_8
0.000016    10231 add_monoid_algebra.semiring._proof_9
0.000016    10232 add_monoid_algebra.semiring._proof_10
0.000017    10233 add_monoid_algebra.semiring._proof_11
0.000016    10234 add_monoid_algebra.semiring
0.000017    10235 polynomial.semiring
0.000016    10236 finsupp.ext_iff'
0.000017    10237 finsupp.finsupp.decidable_eq._proof_1
0.000016    10238 multiset.decidable_dforall_multiset._proof_1
0.000016    10239 multiset.decidable_forall_multiset._proof_1
0.000015    10240 multiset.decidable_forall_multiset._proof_2
0.000015    10241 multiset.decidable_forall_multiset
0.000016    10242 multiset.decidable_dforall_multiset._proof_2
0.000016    10243 multiset.decidable_dforall_multiset._match_1
0.000017    10244 multiset.decidable_dforall_multiset._proof_3
0.000016    10245 multiset.decidable_dforall_multiset
0.000016    10246 finset.decidable_dforall_finset
0.000017    10247 finsupp.finsupp.decidable_eq
0.000016    10248 multiset.has_emptyc
0.000016    10249 with_bot.has_bot
0.000017    10250 with_bot.partial_order._proof_1
0.000016    10251 with_bot.partial_order._proof_2
0.000016    10252 with_bot.partial_order._proof_3
0.000017    10253 with_bot.partial_order._proof_4
0.000016    10254 with_bot.partial_order
0.000016    10255 with_bot.order_bot._proof_1
0.000017    10256 with_bot.order_bot._proof_2
0.000016    10257 with_bot.order_bot._proof_3
0.000016    10258 with_bot.order_bot._proof_4
0.000016    10259 with_bot.order_bot._proof_5
0.000016    10260 with_bot.order_bot
0.000017    10261 with_bot.semilattice_sup._proof_1
0.000016    10262 with_bot.semilattice_sup._proof_2
0.000016    10263 with_bot.semilattice_sup._proof_3
0.000017    10264 with_bot.semilattice_sup._proof_4
0.000016    10265 with_bot.semilattice_sup._proof_5
0.000017    10266 with_bot.semilattice_sup._proof_6
0.000016    10267 with_bot.semilattice_sup._proof_7
0.000016    10268 with_bot.semilattice_sup._proof_8
0.000017    10269 with_bot.semilattice_sup
0.000016    10270 polynomial.support
0.000016    10271 polynomial.degree
0.000017    10272 add_monoid_algebra.ring._proof_1
0.000016    10273 add_monoid_algebra.ring._proof_2
0.000016    10274 add_monoid_algebra.ring._proof_3
0.000016    10275 finsupp.add_group._proof_1
0.000017    10276 finsupp.add_group._proof_2
0.000016    10277 finsupp.add_group._proof_3
0.000016    10278 not_imp_not
0.000017    10279 finsupp.map_range._proof_1
0.000016    10280 finsupp.map_range
0.000017    10281 finsupp.has_sub._proof_1
0.000016    10282 finsupp.has_sub
0.000016    10283 finsupp.add_group._proof_4
0.000017    10284 finsupp.add_group._match_1
0.000016    10285 finsupp.add_group._proof_5
0.000016    10286 finsupp.add_group
0.000017    10287 add_monoid_algebra.add_group
0.000016    10288 add_monoid_algebra.ring._proof_4
0.000016    10289 add_monoid_algebra.ring._proof_5
0.169791    10290 add_monoid_algebra.ring._proof_6
0.000090    10291 add_monoid_algebra.ring._proof_7
0.000024    10292 add_monoid_algebra.ring._proof_8
0.000015    10293 add_monoid_algebra.ring._proof_9
0.000014    10294 add_monoid_algebra.ring._proof_10
0.000014    10295 add_monoid_algebra.ring._proof_11
0.000015    10296 add_monoid_algebra.ring
0.000014    10297 polynomial.ring
0.000015    10298 finsupp.has_scalar._proof_1
0.000018    10299 finsupp.has_scalar
0.000017    10300 finsupp.semimodule._proof_1
0.000016    10301 finsupp.semimodule._proof_2
0.000015    10302 finsupp.semimodule._proof_3
0.000014    10303 finsupp.semimodule._proof_4
0.000019    10304 finsupp.semimodule._proof_5
0.000015    10305 finsupp.semimodule._proof_6
0.000014    10306 finsupp.semimodule
0.000016    10307 add_monoid_algebra.semimodule
0.000017    10308 polynomial.semimodule
0.000017    10309 finsupp.lsingle._proof_1
0.000014    10310 finsupp.map_range_single
0.000015    10311 finsupp.smul_single
0.000016    10312 finsupp.lsingle._proof_2
0.000019    10313 finsupp.lsingle
0.000016    10314 polynomial.monomial
0.000017    10315 polynomial.X
0.000016    10316 add_monoid_algebra.single_zero_ring_hom._proof_1
0.000016    10317 finsupp.single_add_hom.equations._eqn_1
0.000017    10318 monoid_algebra
0.000016    10319 monoid_algebra.add_comm_monoid
0.000017    10320 monoid_algebra.has_mul
0.000016    10321 monoid_algebra.single_mul_single
0.000016    10322 add_monoid_algebra.single_mul_single
0.000016    10323 add_monoid_algebra.single_zero_ring_hom._proof_2
0.000017    10324 add_monoid_algebra.single_zero_ring_hom._proof_3
0.000016    10325 add_monoid_algebra.single_zero_ring_hom._proof_4
0.000014    10326 add_monoid_algebra.single_zero_ring_hom
0.000014    10327 polynomial.C
0.000017    10328 polynomial.coeff
0.000017    10329 option.get_or_else._main
0.000016    10330 option.get_or_else
0.000016    10331 polynomial.nat_degree
0.000017    10332 polynomial.leading_coeff
0.000016    10333 polynomial.monic
0.000016    10334 polynomial.monic.equations._eqn_1
0.000016    10335 polynomial.monic.decidable._proof_1
0.000017    10336 polynomial.monic.decidable
0.000016    10337 option.rec_on
0.000016    10338 with_bot.well_founded_lt
0.000016    10339 polynomial.degree_lt_wf
0.000017    10340 polynomial.has_well_founded
0.000016    10341 with_bot.linear_order._proof_1
0.000016    10342 with_bot.linear_order._proof_2
0.000016    10343 with_bot.linear_order._proof_3
0.000016    10344 with_bot.linear_order._proof_4
0.000017    10345 with_bot.linear_order._proof_5
0.000016    10346 with_bot.linear_order._proof_6
0.000016    10347 with_bot.linear_order._proof_7
0.000016    10348 with_bot.linear_order._proof_8
0.000017    10349 with_bot.linear_order._proof_9
0.000016    10350 with_bot.linear_order
0.000016    10351 le_bot_iff
0.000016    10352 polynomial.support.equations._eqn_1
0.000016    10353 polynomial.support_eq_empty
0.000016    10354 option.lift_or_get._main.equations._eqn_1
0.000017    10355 option.lift_or_get.equations._eqn_1
0.000016    10356 option.lift_or_get_comm
0.000016    10357 finset.max._proof_1
0.000016    10358 option.lift_or_get_assoc
0.000017    10359 finset.max._proof_2
0.000017    10360 finset.max
0.000016    10361 finset.nonempty
0.000016    10362 multiset.exists_mem_of_ne_zero
0.000017    10363 finset.val_eq_zero
0.000016    10364 finset.nonempty_of_ne_empty
0.000017    10365 finset.eq_empty_or_nonempty
0.000016    10366 finset.max_of_mem
0.000017    10367 finset.max_of_nonempty
0.000016    10368 finset.max_empty
0.000016    10369 finset.max_eq_none
0.000016    10370 finset.max_eq_sup_with_bot
0.000016    10371 polynomial.degree.equations._eqn_1
0.000017    10372 polynomial.degree_eq_bot
0.000016    10373 finsupp.support_map_range
0.000016    10374 finsupp.support_neg
0.000016    10375 polynomial.support_neg
0.000016    10376 polynomial.degree_neg
0.000016    10377 finset.sup_mono
0.000016    10378 polynomial.support_add
0.000017    10379 finset.empty_union
0.000016    10380 finset.fold_empty
0.000016    10381 finset.sup_empty
0.000016    10382 finset.insert_eq
0.000016    10383 finset.union_assoc
0.000016    10384 finset.insert_union
0.000017    10385 sup_is_idempotent
0.000016    10386 finset.sup_insert
0.000016    10387 finset.sup_union
0.000016    10388 sup_eq_max
0.000017    10389 with_bot.lattice._proof_1
0.000016    10390 with_bot.lattice._proof_2
0.000016    10391 with_bot.lattice._proof_3
0.000017    10392 with_bot.lattice._proof_4
0.000016    10393 with_bot.lattice._proof_5
0.000016    10394 with_bot.lattice._proof_6
0.000016    10395 with_bot.lattice._proof_7
0.000017    10396 with_bot.semilattice_inf._proof_1
0.000016    10397 with_bot.semilattice_inf._proof_2
0.000017    10398 with_bot.semilattice_inf._proof_3
0.000016    10399 with_bot.semilattice_inf._proof_4
0.000016    10400 with_bot.semilattice_inf._proof_5
0.000017    10401 with_bot.semilattice_inf._proof_6
0.000016    10402 with_bot.semilattice_inf._proof_7
0.000016    10403 with_bot.semilattice_inf._proof_8
0.000016    10404 with_bot.semilattice_inf
0.347397    10405 with_bot.lattice._proof_8
0.000094    10406 with_bot.lattice._proof_9
0.000021    10407 with_bot.lattice._proof_10
0.000015    10408 with_bot.lattice
0.000014    10409 lattice.cases_on
0.000014    10410 semilattice_sup.cases_on
0.000015    10411 semilattice_sup.no_confusion_type
0.000014    10412 semilattice_sup.no_confusion
0.000014    10413 semilattice_sup.mk.inj
0.000017    10414 semilattice_sup.mk.inj_arrow
0.000017    10415 semilattice_inf.cases_on
0.000015    10416 semilattice_inf.no_confusion_type
0.000014    10417 semilattice_inf.no_confusion
0.000018    10418 semilattice_inf.mk.inj
0.000019    10419 semilattice_inf.mk.inj_arrow
0.000015    10420 partial_order.cases_on
0.000014    10421 partial_order.no_confusion_type
0.000015    10422 partial_order.no_confusion
0.000016    10423 partial_order.mk.inj
0.000015    10424 partial_order.mk.inj_arrow
0.000014    10425 preorder.cases_on
0.000014    10426 preorder.no_confusion_type
0.000017    10427 preorder.no_confusion
0.000017    10428 preorder.mk.inj
0.000016    10429 preorder.mk.inj_arrow
0.000014    10430 partial_order.to_preorder_injective
0.000015    10431 has_le.cases_on
0.000017    10432 has_le.no_confusion_type
0.000018    10433 has_le.no_confusion
0.000015    10434 has_le.mk.inj
0.000014    10435 has_le.mk.inj_arrow
0.000015    10436 preorder.to_has_le_injective
0.000017    10437 has_le.ext
0.000017    10438 partial_order.ext
0.000016    10439 eq_of_forall_ge_iff
0.000017    10440 semilattice_sup.ext_sup
0.000016    10441 semilattice_sup.ext
0.000016    10442 eq_of_forall_le_iff
0.000016    10443 semilattice_inf.ext_inf
0.000017    10444 semilattice_inf.ext
0.000016    10445 lattice.ext
0.000017    10446 with_bot.lattice_eq_DLO
0.000016    10447 with_bot.sup_eq_max
0.000016    10448 polynomial.degree_add_le
0.000016    10449 polynomial.degree_erase_le
0.000016    10450 polynomial.nat_degree.equations._eqn_1
0.000017    10451 option.eq_none_iff_forall_not_mem
0.000016    10452 polynomial.degree_eq_nat_degree
0.000016    10453 multiset.mem_erase_of_nodup
0.000017    10454 finset.not_mem_erase
0.000016    10455 option.lift_or_get_choice
0.000017    10456 eq_min
0.000016    10457 min_eq_left
0.000016    10458 min_comm
0.000017    10459 min_eq_right
0.000016    10460 min_choice
0.000016    10461 max_choice
0.000017    10462 option.lift_or_get_idem
0.000016    10463 max_idem
0.000016    10464 finset.max_insert
0.000017    10465 finset.mem_of_max
0.000016    10466 polynomial.degree_erase_lt
0.000016    10467 polynomial.degree_sub_lt
0.000017    10468 with_bot.add_monoid
0.000016    10469 polynomial.degree_zero
0.000016    10470 with_bot.bot_add
0.000017    10471 polynomial.X.equations._eqn_1
0.000016    10472 polynomial.monomial_mul_monomial
0.000016    10473 polynomial.single_eq_C_mul_X
0.000016    10474 polynomial.degree_sum_le
0.000017    10475 finset.sup_mono_fun
0.000016    10476 polynomial.ext
0.000016    10477 finsupp.smul_single'
0.000016    10478 polynomial.X_pow_eq_monomial
0.000017    10479 polynomial.monomial_eq_smul_X
0.000016    10480 finsupp.smul_apply
0.000016    10481 polynomial.coeff_smul
0.000016    10482 add_monoid_algebra.has_coe_to_fun
0.000017    10483 monoid_algebra.has_coe_to_fun
0.000016    10484 monoid_algebra.mul_def
0.000016    10485 finsupp.zero_apply
0.000017    10486 finsupp.apply_add_hom._proof_1
0.000016    10487 finsupp.apply_add_hom._proof_2
0.000016    10488 finsupp.apply_add_hom
0.000017    10489 finsupp.sum_apply
0.000016    10490 monoid_algebra.mul_apply
0.000016    10491 finset.sum_eq_single_of_mem
0.000016    10492 finset.sum_eq_single
0.000120    10493 not_eq_of_eq_false
0.000018    10494 finset.sum_eq_zero
0.000015    10495 finset.sum_dite_eq'
0.000016    10496 finset.sum_ite_eq'
0.000014    10497 monoid_algebra.single_mul_apply_aux
0.000019    10498 add_monoid_algebra.single_mul_apply_aux
0.000015    10499 add_monoid_algebra.single_zero_mul_apply
0.000016    10500 polynomial.coeff_C_mul
0.000017    10501 polynomial.C_mul_X_pow_eq_monomial
0.000017    10502 distrib_mul_action_hom
0.000016    10503 distrib_mul_action_hom.to_fun
0.000017    10504 distrib_mul_action_hom.has_coe_to_fun
0.000016    10505 distrib_mul_action_hom.map_zero'
0.000017    10506 distrib_mul_action_hom.map_zero
0.000016    10507 linear_map.to_distrib_mul_action_hom._proof_1
0.000016    10508 linear_map.to_distrib_mul_action_hom
0.000016    10509 linear_map.map_zero
0.000017    10510 finsupp.support_single_ne_zero
0.000016    10511 polynomial.support_monomial
0.000016    10512 polynomial.degree_monomial
0.000017    10513 polynomial.degree_monomial_le
0.000016    10514 polynomial.degree_C_mul_X_pow_le
0.000016    10515 with_top.add_semigroup._proof_1
0.000016    10516 with_top.add_semigroup
0.000015    10517 with_bot.add_semigroup
0.000016    10518 with_bot.coe_add
0.000016    10519 with_bot.add_comm_monoid
0.000017    10520 with_bot.ordered_add_comm_monoid._proof_1
0.000016    10521 with_bot.ordered_add_comm_monoid._proof_2
0.000017    10522 with_bot.ordered_add_comm_monoid._proof_3
0.000016    10523 with_bot.ordered_add_comm_monoid._proof_4
0.000016    10524 with_bot.ordered_add_comm_monoid._proof_5
0.271703    10525 with_bot.ordered_add_comm_monoid._proof_6
0.000091    10526 with_bot.ordered_add_comm_monoid._proof_7
0.000024    10527 with_bot.ordered_add_comm_monoid._proof_8
0.000015    10528 with_bot.ordered_add_comm_monoid._proof_9
0.000014    10529 with_bot.ordered_add_comm_monoid._proof_10
0.000014    10530 with_bot.ordered_add_comm_monoid
0.000015    10531 polynomial.le_degree_of_ne_zero
0.000014    10532 polynomial.coeff.equations._eqn_1
0.000014    10533 polynomial.mem_support_iff
0.000014    10534 polynomial.degree_mul_le
0.000014    10535 list.nat.antidiagonal
0.000017    10536 multiset.nat.antidiagonal
0.000017    10537 list.nat.nodup_antidiagonal
0.000015    10538 multiset.nat.nodup_antidiagonal
0.000014    10539 finset.nat.antidiagonal
0.000018    10540 multiset.product
0.000019    10541 list.product
0.000015    10542 multiset.product.equations._eqn_1
0.000016    10543 list.product.equations._eqn_1
0.000015    10544 multiset.coe_product
0.000014    10545 list.nodup_product
0.000016    10546 multiset.nodup_product
0.000018    10547 finset.product._proof_1
0.000014    10548 finset.product
0.000014    10549 prod.decidable_eq._match_2
0.000017    10550 prod.decidable_eq._match_1
0.000017    10551 prod.decidable_eq._main
0.000015    10552 prod.decidable_eq
0.000014    10553 multiset.mem_product
0.000016    10554 finset.mem_product
0.000018    10555 finset.product_eq_bUnion
0.000015    10556 finset.sum_product
0.000016    10557 finset.sum_filter
0.000015    10558 monoid_algebra.mul_apply_antidiagonal
0.000014    10559 add_monoid_algebra.mul_apply_antidiagonal
0.000014    10560 finset.nat.antidiagonal.equations._eqn_1
0.000017    10561 multiset.nat.antidiagonal.equations._eqn_1
0.000015    10562 list.nat.antidiagonal.equations._eqn_1
0.000014    10563 list.nat.mem_antidiagonal
0.000014    10564 multiset.nat.mem_antidiagonal
0.000018    10565 finset.nat.mem_antidiagonal
0.000017    10566 polynomial.coeff_mul
0.000017    10567 polynomial.coeff_eq_zero_of_degree_lt
0.000016    10568 nat.conditionally_complete_linear_order_bot._proof_1
0.000017    10569 nat.conditionally_complete_linear_order_bot._proof_2
0.000017    10570 nat.conditionally_complete_linear_order_bot._proof_3
0.000016    10571 nat.conditionally_complete_linear_order_bot._proof_4
0.000017    10572 nat.conditionally_complete_linear_order_bot._proof_5
0.000016    10573 nat.conditionally_complete_linear_order_bot._proof_6
0.000017    10574 nat.conditionally_complete_linear_order_bot._proof_7
0.000016    10575 nat.conditionally_complete_linear_order_bot._proof_8
0.000017    10576 nat.conditionally_complete_linear_order_bot._proof_9
0.000016    10577 nat.conditionally_complete_linear_order_bot._proof_10
0.000016    10578 nat.has_Sup
0.000017    10579 nat.has_Inf
0.000017    10580 nat.Sup_def
0.000016    10581 nat.conditionally_complete_linear_order_bot._proof_11
0.000017    10582 nat.conditionally_complete_linear_order_bot._proof_12
0.000016    10583 nat.Inf_def
0.000016    10584 nat.conditionally_complete_linear_order_bot._proof_13
0.000017    10585 nat.conditionally_complete_linear_order_bot._proof_14
0.000016    10586 nat.conditionally_complete_linear_order_bot._proof_15
0.000017    10587 nat.conditionally_complete_linear_order_bot._proof_16
0.000016    10588 nat.conditionally_complete_linear_order_bot._proof_17
0.000016    10589 nat.conditionally_complete_linear_order_bot
0.000017    10590 with_bot.none_eq_bot
0.000016    10591 with_bot.get_or_else_bot
0.000017    10592 with_bot.some_eq_coe
0.000016    10593 option.get_or_else_coe
0.000016    10594 with_bot.get_or_else_bot_le_iff
0.000017    10595 with_bot.gi_get_or_else_bot._proof_1
0.000014    10596 with_bot.gi_get_or_else_bot._proof_2
0.000015    10597 with_bot.gi_get_or_else_bot._proof_3
0.000016    10598 with_bot.gi_get_or_else_bot
0.000016    10599 polynomial.degree_le_nat_degree
0.000017    10600 with_bot.coe_lt_coe
0.000016    10601 not_lt_iff_eq_or_lt
0.000017    10602 add_left_cancel_iff
0.000015    10603 polynomial.coeff_mul_degree_add_degree
0.000017    10604 polynomial.leading_coeff_zero
0.000016    10605 polynomial.degree_mul'
0.000017    10606 polynomial.monic.leading_coeff
0.000016    10607 by_contradiction
0.000017    10608 polynomial.leading_coeff_eq_zero
0.000016    10609 polynomial.degree_mul_monic
0.000016    10610 polynomial.degree_C_mul_X_pow
0.000016    10611 polynomial.leading_coeff.equations._eqn_1
0.000017    10612 polynomial.nat_degree_eq_of_degree_eq_some
0.000016    10613 polynomial.nat_degree_mul'
0.000016    10614 polynomial.leading_coeff_mul'
0.000016    10615 polynomial.leading_coeff_mul_monic
0.000017    10616 polynomial.C_1
0.000016    10617 polynomial.nat_degree_C_mul_X_pow
0.000016    10618 polynomial.nat_degree_monomial
0.000017    10619 polynomial.leading_coeff_monomial
0.000016    10620 polynomial.leading_coeff_C_mul_X_pow
0.000016    10621 polynomial.leading_coeff_X_pow
0.000017    10622 polynomial.monic_X_pow
0.183446    10623 polynomial.leading_coeff_mul_X_pow
0.000095    10624 polynomial.leading_coeff_C
0.000022    10625 polynomial.monic.ne_zero
0.000015    10626 polynomial.C_0
0.000014    10627 polynomial.nontrivial.of_polynomial_ne
0.000014    10628 polynomial.monic.ne_zero_of_polynomial_ne
0.000014    10629 polynomial.div_wf_lemma
0.000014    10630 polynomial.div_mod_by_monic_aux._main._pack
0.000015    10631 polynomial.div_mod_by_monic_aux._main
0.000014    10632 polynomial.div_mod_by_monic_aux
0.000016    10633 polynomial.mod_by_monic
0.000017    10634 polynomial.div_by_monic
0.000017    10635 eq_add_neg_iff_add_eq
0.000014    10636 eq_sub_iff_add_eq
0.000015    10637 polynomial.mod_by_monic.equations._eqn_1
0.000018    10638 polynomial.div_mod_by_monic_aux._main._pack.equations._eqn_1
0.000019    10639 polynomial.div_mod_by_monic_aux._main.equations._eqn_1
0.000015    10640 polynomial.div_mod_by_monic_aux.equations._eqn_1
0.000016    10641 polynomial.div_by_monic.equations._eqn_1
0.000017    10642 sub_add_eq_sub_sub
0.000014    10643 add_monoid_algebra.comm_ring._proof_1
0.000014    10644 add_monoid_algebra.comm_ring._proof_2
0.000018    10645 add_monoid_algebra.comm_ring._proof_3
0.000018    10646 add_monoid_algebra.comm_ring._proof_4
0.000015    10647 add_monoid_algebra.comm_ring._proof_5
0.000014    10648 add_monoid_algebra.comm_ring._proof_6
0.000018    10649 add_monoid_algebra.comm_ring._proof_7
0.000016    10650 add_monoid_algebra.comm_ring._proof_8
0.000017    10651 add_monoid_algebra.comm_ring._proof_9
0.000017    10652 add_monoid_algebra.comm_ring._proof_10
0.000016    10653 add_monoid_algebra.comm_ring._proof_11
0.000017    10654 add_monoid_algebra.comm_semiring._proof_1
0.000016    10655 add_monoid_algebra.comm_semiring._proof_2
0.000016    10656 add_monoid_algebra.comm_semiring._proof_3
0.000017    10657 add_monoid_algebra.comm_semiring._proof_4
0.000016    10658 add_monoid_algebra.comm_semiring._proof_5
0.000016    10659 add_monoid_algebra.comm_semiring._proof_6
0.000016    10660 add_monoid_algebra.comm_semiring._proof_7
0.000017    10661 add_monoid_algebra.comm_semiring._proof_8
0.000016    10662 add_monoid_algebra.comm_semiring._proof_9
0.000016    10663 add_monoid_algebra.comm_semiring._proof_10
0.000017    10664 add_monoid_algebra.comm_semiring._proof_11
0.000016    10665 monoid_algebra.distrib._proof_1
0.000016    10666 monoid_algebra.distrib._proof_2
0.000016    10667 monoid_algebra.distrib
0.000016    10668 monoid_algebra.semiring._proof_1
0.000017    10669 monoid_algebra.mul_zero_class._proof_1
0.000016    10670 monoid_algebra.mul_zero_class._proof_2
0.000017    10671 monoid_algebra.mul_zero_class
0.000016    10672 monoid_algebra.semiring._proof_2
0.000016    10673 monoid_algebra.semiring._proof_3
0.000016    10674 monoid_algebra.semiring._proof_4
0.000014    10675 monoid_algebra.semigroup._proof_1
0.000014    10676 monoid_algebra.semigroup
0.000015    10677 monoid_algebra.semiring._proof_5
0.000017    10678 monoid_algebra.has_one
0.000016    10679 monoid_algebra.one_def
0.000016    10680 monoid_algebra.mul_one_class._proof_1
0.000017    10681 monoid_algebra.mul_one_class._proof_2
0.000016    10682 monoid_algebra.mul_one_class
0.000016    10683 monoid_algebra.semiring._proof_6
0.000016    10684 monoid_algebra.semiring._proof_7
0.000017    10685 monoid_algebra.semiring._proof_8
0.000016    10686 monoid_algebra.semiring._proof_9
0.000016    10687 monoid_algebra.semiring._proof_10
0.000017    10688 monoid_algebra.semiring._proof_11
0.000016    10689 monoid_algebra.semiring
0.000016    10690 monoid_algebra.comm_semiring._proof_1
0.000017    10691 monoid_algebra.comm_semiring._proof_2
0.000016    10692 monoid_algebra.comm_semiring._proof_3
0.000016    10693 monoid_algebra.comm_semiring._proof_4
0.000017    10694 monoid_algebra.comm_semiring._proof_5
0.000016    10695 monoid_algebra.comm_semiring._proof_6
0.000016    10696 monoid_algebra.comm_semiring._proof_7
0.000016    10697 monoid_algebra.comm_semiring._proof_8
0.000017    10698 monoid_algebra.comm_semiring._proof_9
0.000016    10699 monoid_algebra.comm_semiring._proof_10
0.000016    10700 monoid_algebra.comm_semiring._proof_11
0.000017    10701 finsupp.sum.equations._eqn_1
0.000016    10702 finset.sum_comm
0.000017    10703 monoid_algebra.comm_semiring._proof_12
0.000016    10704 monoid_algebra.comm_semiring
0.000017    10705 add_monoid_algebra.comm_semiring._proof_12
0.000016    10706 add_monoid_algebra.comm_semiring
0.000016    10707 add_monoid_algebra.comm_ring._proof_12
0.000016    10708 add_monoid_algebra.comm_ring
0.000017    10709 polynomial.comm_ring
0.000016    10710 polynomial.mod_by_monic_eq_sub_mul_div
0.000016    10711 polynomial.mod_by_monic_add_div
0.000017    10712 polynomial.monic.def
0.000016    10713 polynomial.subsingleton_of_monic_zero
0.000016    10714 polynomial.degree_mod_by_monic_lt
0.000017    10715 exists_eq_mul_right_of_dvd
0.000016    10716 polynomial.dvd_iff_mod_by_monic_eq_zero
0.350555    10717 polynomial.decidable_dvd_monic
0.000093    10718 polynomial.monic_one
0.000024    10719 eq_zero_of_zero_eq_one
0.000015    10720 unique_of_zero_eq_one
0.000014    10721 subsingleton_iff_zero_eq_one
0.000014    10722 subsingleton_of_zero_eq_one
0.000015    10723 polynomial.monic_mul
0.000014    10724 polynomial.monic_pow
0.000014    10725 ring_hom.map_neg
0.000014    10726 polynomial.C_neg
0.000017    10727 with_bot.has_one
0.000017    10728 eq_of_zero_eq_one
0.000014    10729 polynomial.monic_of_degree_le
0.000014    10730 polynomial.degree_X_pow_le
0.000015    10731 polynomial.coeff_add
0.000014    10732 polynomial.monomial.equations._eqn_1
0.000016    10733 polynomial.coeff_X_pow
0.000017    10734 polynomial.monic_X_pow_add
0.000016    10735 with_bot.has_zero
0.000014    10736 polynomial.degree_C
0.000014    10737 polynomial.degree_C_le
0.000018    10738 polynomial.monic_X_add_C
0.000019    10739 polynomial.monic_X_sub_C
0.000014    10740 polynomial.root_multiplicity._proof_1
0.000014    10741 polynomial.comm_semiring
0.000018    10742 multiplicity.finite
0.000017    10743 le_mul_of_one_le_right
0.000014    10744 polynomial.nat_degree_C
0.000014    10745 polynomial.nat_degree_one
0.000016    10746 polynomial.nat_degree_zero
0.000015    10747 zero_pow
0.000016    10748 succ_nsmul
0.000016    10749 polynomial.leading_coeff_one
0.000016    10750 polynomial.leading_coeff_pow'
0.000016    10751 polynomial.degree_pow'
0.000018    10752 with_bot.coe_zero
0.000016    10753 with_bot.coe_nsmul
0.000017    10754 ring_hom.id._proof_1
0.000016    10755 ring_hom.id._proof_2
0.000017    10756 ring_hom.id._proof_3
0.000016    10757 ring_hom.id._proof_4
0.000016    10758 ring_hom.id
0.000017    10759 nat.cast_id
0.000016    10760 polynomial.nat_degree_pow'
0.000016    10761 not_lt_bot
0.000017    10762 finsupp.inhabited
0.000016    10763 finsupp.unique_of_right._proof_1
0.000016    10764 finsupp.unique_of_right
0.000015    10765 add_monoid_algebra.unique
0.000014    10766 polynomial.unique
0.000017    10767 polynomial.multiplicity_finite_of_degree_pos_of_monic
0.000016    10768 max_eq_left_of_lt
0.000016    10769 polynomial.degree_le_degree
0.000017    10770 polynomial.coeff_nat_degree_eq_zero_of_degree_lt
0.000016    10771 polynomial.ne_zero_of_degree_gt
0.000016    10772 polynomial.degree_add_eq_left_of_degree_lt
0.000016    10773 polynomial.degree_sub_eq_left_of_degree_lt
0.000017    10774 polynomial.degree_X
0.000016    10775 polynomial.degree_X_sub_C
0.000016    10776 polynomial.multiplicity_X_sub_C_finite
0.000017    10777 polynomial.root_multiplicity
0.000016    10778 polynomial.eval₂
0.000016    10779 polynomial.eval
0.000017    10780 polynomial.is_root
0.000016    10781 polynomial.eval₂_C
0.000016    10782 polynomial.eval_C
0.000016    10783 polynomial.coeff_monomial
0.000017    10784 polynomial.coeff_C_zero
0.000016    10785 polynomial.coeff_C
0.000016    10786 polynomial.eq_C_of_degree_le_zero
0.000016    10787 polynomial.is_root.equations._eqn_1
0.000017    10788 polynomial.degree_pos_of_root
0.000016    10789 polynomial.is_root.def
0.000016    10790 add_monoid_hom.mul_right._proof_1
0.000016    10791 add_monoid_hom.mul_right._proof_2
0.000016    10792 add_monoid_hom.mul_right
0.000017    10793 add_monoid_algebra.lift_nc
0.000016    10794 powers_hom._proof_1
0.000017    10795 of_add_nsmul
0.000016    10796 of_add_to_add
0.000016    10797 monoid_hom.mk_coe
0.000016    10798 powers_hom._proof_2
0.000017    10799 powers_hom
0.000016    10800 polynomial.eval₂_eq_lift_nc
0.000016    10801 monoid_algebra.lift_nc
0.000017    10802 add_monoid_hom.map_finsupp_sum
0.000016    10803 finsupp.lift_add_hom_apply_single
0.000017    10804 monoid_algebra.lift_nc_single
0.000016    10805 is_add_monoid_hom.is_add_monoid_hom_mul_right
0.000017    10806 finset.sum_mul
0.000016    10807 finsupp.sum_mul
0.000016    10808 finsupp.mul_sum
0.000016    10809 ring_hom.coe_add_monoid_hom
0.000017    10810 monoid_algebra.lift_nc_mul
0.000016    10811 add_monoid_algebra.lift_nc_mul
0.000016    10812 polynomial.eval₂_mul_noncomm
0.000017    10813 commute.all
0.000016    10814 polynomial.eval₂_mul
0.000016    10815 polynomial.eval_mul
0.000017    10816 polynomial.eval₂_add
0.000016    10817 polynomial.eval₂_zero
0.000017    10818 polynomial.eval₂_neg
0.000016    10819 polynomial.eval₂_sub
0.000017    10820 polynomial.eval_sub
0.000016    10821 polynomial.eval₂_X
0.000016    10822 polynomial.eval_X
0.000016    10823 nontrivial_of_ne
0.000017    10824 polynomial.not_monic_zero
0.000016    10825 polynomial.ne_zero_of_monic
0.000016    10826 polynomial.mod_by_monic_X_sub_C_eq_C_eval
0.000016    10827 polynomial.mul_div_by_monic_eq_iff_is_root
0.000017    10828 polynomial.mod_by_monic_eq_self_iff
0.000016    10829 polynomial.div_by_monic_eq_zero_iff
0.000016    10830 with_bot.bot_lt_some
0.000016    10831 polynomial.degree_add_eq_right_of_degree_lt
0.000016    10832 polynomial.degree_add_div_by_monic
0.000017    10833 nat.lt_add_of_pos_left
0.000016    10834 polynomial.degree_div_by_monic_lt
0.000017    10835 domain.exists_pair_ne
0.000016    10836 domain.to_nontrivial
0.226712    10837 multiset.card_cons
0.000092    10838 with_top.add_comm_semigroup._proof_1
0.000024    10839 with_top.add_comm_semigroup._proof_2
0.000015    10840 with_top.add_comm_semigroup
0.000014    10841 with_bot.add_comm_semigroup
0.000014    10842 roption
0.000014    10843 roption.dom
0.000014    10844 roption.get
0.000014    10845 enat
0.000014    10846 enat.find
0.000019    10847 multiplicity
0.000017    10848 multiplicity.equations._eqn_1
0.000017    10849 polynomial.root_multiplicity.equations._eqn_1
0.000016    10850 enat.find_get
0.000015    10851 polynomial.root_multiplicity_eq_multiplicity
0.000014    10852 integral_domain.to_comm_cancel_monoid_with_zero._proof_1
0.000017    10853 integral_domain.to_comm_cancel_monoid_with_zero._proof_2
0.000019    10854 integral_domain.to_comm_cancel_monoid_with_zero._proof_3
0.000016    10855 integral_domain.to_comm_cancel_monoid_with_zero._proof_4
0.000015    10856 integral_domain.to_comm_cancel_monoid_with_zero._proof_5
0.000014    10857 integral_domain.to_comm_cancel_monoid_with_zero._proof_6
0.000014    10858 integral_domain.to_comm_cancel_monoid_with_zero._proof_7
0.000017    10859 integral_domain.to_comm_cancel_monoid_with_zero._proof_8
0.000014    10860 integral_domain.to_comm_cancel_monoid_with_zero
0.000017    10861 polynomial.integral_domain._proof_1
0.000017    10862 polynomial.integral_domain._proof_2
0.000017    10863 polynomial.integral_domain._proof_3
0.000017    10864 polynomial.integral_domain._proof_4
0.000017    10865 polynomial.integral_domain._proof_5
0.000016    10866 polynomial.integral_domain._proof_6
0.000017    10867 polynomial.integral_domain._proof_7
0.000017    10868 polynomial.integral_domain._proof_8
0.000017    10869 polynomial.integral_domain._proof_9
0.000017    10870 polynomial.integral_domain._proof_10
0.000016    10871 polynomial.integral_domain._proof_11
0.000018    10872 polynomial.integral_domain._proof_12
0.000028    10873 exists_ne
0.000029    10874 finsupp.ext_iff
0.000027    10875 ite_eq_right_iff
0.000016    10876 set.indicator_apply_eq_zero
0.000018    10877 finsupp.single_eq_zero
0.000017    10878 finsupp.nontrivial
0.000016    10879 add_monoid_algebra.nontrivial
0.000015    10880 polynomial.nontrivial
0.000014    10881 polynomial.integral_domain._proof_13
0.000016    10882 polynomial.leading_coeff_mul
0.000015    10883 polynomial.no_zero_divisors
0.000017    10884 polynomial.integral_domain._proof_14
0.000017    10885 polynomial.integral_domain
0.000017    10886 prime
0.000016    10887 multiplicity.finite_of_finite_mul_left
0.000017    10888 multiplicity.finite_of_finite_mul_right
0.000017    10889 nat.sub_add_comm
0.000016    10890 nat.sub_lt_self
0.000017    10891 multiplicity.finite_mul_aux
0.000016    10892 multiplicity.finite_mul
0.000017    10893 multiplicity.finite_mul_iff
0.000016    10894 polynomial.degree_X_pow
0.000017    10895 polynomial.degree_X_pow_sub_C
0.000016    10896 polynomial.X_pow_sub_C_ne_zero
0.000017    10897 polynomial.X_sub_C_ne_zero
0.000017    10898 polynomial.eval.equations._eqn_1
0.000016    10899 polynomial.eval₂.equations._eqn_1
0.000017    10900 ring_hom.id_apply
0.000017    10901 polynomial.le_nat_degree_of_ne_zero
0.000016    10902 polynomial.le_nat_degree_of_mem_supp
0.000017    10903 polynomial.supp_subset_range
0.000016    10904 polynomial.sum_over_range'
0.000017    10905 polynomial.nat_degree_le_iff_degree_le
0.000016    10906 polynomial.nat_degree_le_of_degree_le
0.000017    10907 polynomial.nat_degree_mul_le
0.000016    10908 polynomial.degree_sub_le
0.000017    10909 polynomial.degree_X_le
0.000016    10910 polynomial.nat_degree_X_sub_C_le
0.000017    10911 finset.prod_insert
0.000017    10912 finset.prod_range_succ_comm
0.000016    10913 finset.prod_range_succ
0.000017    10914 finset.prod_range_succ'
0.000016    10915 finset.sum_range_succ'
0.000017    10916 polynomial.coeff_sub
0.000017    10917 add_right_cancel_iff
0.000016    10918 polynomial.coeff_mul_X_pow
0.000016    10919 polynomial.coeff_mul_X
0.000017    10920 monoid_algebra.mul_single_apply_aux
0.000017    10921 add_monoid_algebra.mul_single_apply_aux
0.000016    10922 add_monoid_algebra.mul_single_zero_apply
0.000017    10923 polynomial.coeff_mul_C
0.000016    10924 polynomial.coeff_mul_X_sub_C
0.000017    10925 finset.prod_empty
0.000017    10926 finset.prod_range_zero
0.000017    10927 finset.prod_range_induction
0.000016    10928 finset.sum_range_induction
0.000017    10929 tactic.abel.unfold_sub
0.000016    10930 norm_num.subst_into_add
0.000017    10931 gpow._main
0.000016    10932 gpow
0.000016    10933 multiplicative.div_inv_monoid._proof_1
0.000017    10934 multiplicative.div_inv_monoid._proof_2
0.000017    10935 multiplicative.div_inv_monoid._proof_3
0.000016    10936 multiplicative.has_inv
0.000017    10937 multiplicative.has_div
0.000016    10938 multiplicative.div_inv_monoid
0.000027    10939 multiplicative.group._proof_1
0.000015    10940 multiplicative.group._proof_2
0.000014    10941 multiplicative.group._proof_3
0.286995    10942 multiplicative.group._proof_4
0.000093    10943 multiplicative.group
0.000024    10944 gsmul
0.000015    10945 tactic.abel.termg
0.000014    10946 tactic.abel.termg.equations._eqn_1
0.000014    10947 one_gsmul
0.000014    10948 tactic.abel.term_atomg
0.000014    10949 norm_num.subst_into_neg
0.000014    10950 group.has_pow
0.000015    10951 one_inv
0.000016    10952 gpow_neg
0.000017    10953 neg_gsmul
0.000017    10954 tactic.abel.term_neg
0.000016    10955 int.induction_on
0.000015    10956 gpow_zero
0.000014    10957 gpow_coe_nat
0.000018    10958 right_cancel_semigroup
0.000015    10959 right_cancel_semigroup.mul
0.000017    10960 right_cancel_semigroup.mul_assoc
0.000017    10961 right_cancel_semigroup.to_semigroup
0.000016    10962 right_cancel_monoid.mul_right_cancel
0.000014    10963 right_cancel_monoid.to_right_cancel_semigroup
0.000014    10964 inv_mul_cancel_left
0.000018    10965 group.to_cancel_monoid._proof_1
0.000015    10966 mul_right_inv
0.000017    10967 mul_inv_cancel_right
0.000017    10968 group.to_cancel_monoid._proof_2
0.000015    10969 group.to_cancel_monoid
0.000013    10970 right_cancel_semigroup.mul_right_cancel
0.000018    10971 mul_right_cancel
0.000015    10972 mul_left_injective
0.000017    10973 mul_left_inj
0.000017    10974 int.neg_succ_of_nat_eq
0.000016    10975 gpow_one
0.000017    10976 mul_inv_cancel_left
0.000016    10977 mul_inv_rev
0.000016    10978 inv_mul_cancel_right
0.000017    10979 gpow_add_one
0.000016    10980 gpow_sub_one
0.000016    10981 gpow_add
0.000017    10982 add_gsmul
0.000016    10983 tactic.abel.term_add_termg
0.000016    10984 zero_gsmul
0.000017    10985 tactic.abel.zero_termg
0.000016    10986 tactic.abel.term_add_constg
0.000016    10987 tactic.abel.const_add_termg
0.000016    10988 norm_num.add_neg_pos_pos
0.000017    10989 finset.sum_range_sub'
0.000016    10990 with_bot.bot_lt_coe
0.000016    10991 polynomial.coeff_eq_zero_of_nat_degree_lt
0.000017    10992 polynomial.coeff_nat_degree_succ_eq_zero
0.000016    10993 finset.nat.antidiagonal_zero
0.000016    10994 polynomial.mul_coeff_zero
0.000016    10995 polynomial.coeff_X_zero
0.000017    10996 polynomial.eval_mul_X_sub_C
0.000025    10997 polynomial.eval₂_one
0.000017    10998 polynomial.eval_one
0.000017    10999 polynomial.not_is_unit_X_sub_C
0.000014    11000 polynomial.C_inj
0.000015    11001 polynomial.dvd_iff_is_root
0.000016    11002 polynomial.prime_X_sub_C
0.000016    11003 roption.some
0.000024    11004 enat.has_coe
0.000022    11005 roption.cases_on
0.000017    11006 roption.no_confusion_type
0.000017    11007 roption.no_confusion
0.000017    11008 roption.mk.inj
0.000016    11009 roption.some_inj
0.000017    11010 enat.coe_inj
0.000016    11011 roption.ext'
0.000016    11012 enat.coe_get
0.000017    11013 roption.mem
0.000016    11014 roption.has_mem
0.000016    11015 enat.has_le
0.000016    11016 one_dvd
0.000017    11017 multiplicity.pow_dvd_of_le_multiplicity
0.000018    11018 enat.partial_order._proof_1
0.000025    11019 enat.partial_order._match_1
0.000018    11020 enat.partial_order._match_2
0.000017    11021 enat.partial_order._proof_2
0.000017    11022 enat.partial_order._proof_3
0.000016    11023 enat.partial_order._match_3
0.000017    11024 enat.partial_order._match_4
0.000016    11025 enat.partial_order._proof_4
0.000017    11026 enat.partial_order
0.000016    11027 roption.none
0.000017    11028 enat.has_top
0.000016    11029 roption.mem_some
0.000016    11030 roption.eq_some_iff
0.000017    11031 roption.some_get
0.000024    11032 roption.not_mem_none
0.000018    11033 roption.ext
0.000016    11034 roption.eq_none_iff
0.000017    11035 roption.eq_none_iff'
0.000016    11036 roption.induction_on
0.000016    11037 enat.cases_on
0.000017    11038 enat.has_zero
0.000016    11039 enat.has_bot
0.000016    11040 enat.semilattice_sup_bot._proof_1
0.000017    11041 enat.has_sup._proof_1
0.000016    11042 enat.has_sup._proof_2
0.000017    11043 enat.has_sup
0.000016    11044 enat.semilattice_sup_bot._proof_2
0.000015    11045 enat.semilattice_sup_bot._proof_3
0.000014    11046 enat.semilattice_sup_bot._match_1
0.000015    11047 enat.semilattice_sup_bot._match_2
0.000018    11048 enat.semilattice_sup_bot._proof_4
0.000016    11049 enat.semilattice_sup_bot
0.000016    11050 enat.order_top._proof_1
0.000016    11051 enat.order_top
0.000017    11052 enat.coe_le_coe
0.000016    11053 enat.linear_order._proof_1
0.000016    11054 enat.linear_order
0.000016    11055 multiplicity.pow_multiplicity_dvd
0.000017    11056 enat.le_def
0.000016    11057 enat.lt_def
0.000017    11058 enat.dom_coe
0.000016    11059 enat.get_coe'
0.000017    11060 enat.lt_coe_iff
0.000016    11061 pow_dvd_pow
0.000016    11062 multiplicity.is_greatest
0.000016    11063 enat.le_coe_iff
0.000017    11064 multiplicity.unique
0.000016    11065 multiplicity.unique'
0.000016    11066 multiplicity.eq_some_iff
0.000017    11067 enat.coe_lt_coe
0.000016    11068 multiplicity.is_greatest'
0.000017    11069 prime.div_or_div
0.000016    11070 pow_eq_zero
0.000016    11071 pow_ne_zero
0.000017    11072 prime.ne_zero
0.000016    11073 succ_dvd_or_succ_dvd_of_succ_sum_dvd_mul
0.000016    11074 multiplicity.mul'
0.000016    11075 polynomial.root_multiplicity_mul
0.000017    11076 roption.get_some
0.000016    11077 roption.get_eq_iff_eq_some
0.540168    11078 is_unit_iff_dvd_one
0.000097    11079 is_unit_iff_forall_dvd
0.000024    11080 units.coe_hom
0.000014    11081 units.coe_pow
0.000015    11082 is_unit.pow
0.000014    11083 multiplicity.not_unit_of_finite
0.000014    11084 multiplicity.ne_zero_of_finite
0.000014    11085 multiplicity.get_multiplicity_self
0.000014    11086 polynomial.root_multiplicity_X_sub_C_self
0.000014    11087 multiplicity.multiplicity_eq_zero_of_not_dvd
0.000017    11088 enat.coe_zero
0.000017    11089 polynomial.root_multiplicity_eq_zero
0.000016    11090 polynomial.root_X_sub_C
0.000017    11091 polynomial.root_multiplicity_X_sub_C
0.000017    11092 polynomial.exists_multiset_roots
0.000014    11093 polynomial.roots
0.000014    11094 polynomial.nth_roots
0.000018    11095 primitive_roots
0.000015    11096 complex.has_add
0.000014    11097 complex.cases_on
0.000017    11098 complex.ext
0.000016    11099 complex.ext_iff
0.000014    11100 complex.add_re
0.000014    11101 tactic.ring.horner
0.000017    11102 tactic.ring.horner.equations._eqn_1
0.000015    11103 tactic.ring.horner_atom
0.000014    11104 tactic.ring.horner_add_const
0.000017    11105 complex.add_im
0.000016    11106 complex.comm_ring._proof_1
0.000015    11107 complex.has_zero
0.000014    11108 complex.zero_re
0.000017    11109 complex.zero_im
0.000014    11110 complex.comm_ring._proof_2
0.000016    11111 complex.comm_ring._proof_3
0.000017    11112 complex.has_neg
0.000016    11113 complex.has_sub
0.000017    11114 complex.neg_re
0.000016    11115 tactic.ring.add_neg_eq_sub
0.000016    11116 complex.neg_im
0.000017    11117 complex.comm_ring._proof_4
0.000016    11118 complex.comm_ring._proof_5
0.000017    11119 tactic.ring.const_add_horner
0.000016    11120 complex.comm_ring._proof_6
0.000016    11121 complex.has_mul
0.000017    11122 complex.mul_re
0.000016    11123 complex.mul_im
0.000017    11124 tactic.ring.unfold_sub
0.000016    11125 norm_num.subst_into_mul
0.000016    11126 tactic.ring.horner_mul_const
0.000016    11127 tactic.ring.horner_neg
0.000017    11128 tactic.ring.horner_const_mul
0.000016    11129 norm_num.mul_neg_pos
0.000017    11130 tactic.ring.horner_add_horner_eq
0.000016    11131 complex.comm_ring._proof_7
0.000016    11132 complex.one_re
0.000016    11133 complex.one_im
0.000017    11134 complex.comm_ring._proof_8
0.000016    11135 complex.comm_ring._proof_9
0.000016    11136 complex.comm_ring._proof_10
0.000017    11137 complex.comm_ring._proof_11
0.000016    11138 complex.comm_ring._proof_12
0.000017    11139 complex.comm_ring
0.000016    11140 complex.conj._proof_1
0.000017    11141 real.domain._proof_1
0.000016    11142 real.domain
0.000016    11143 complex.conj._proof_2
0.000017    11144 complex.conj._proof_3
0.000016    11145 complex.conj._proof_4
0.000014    11146 complex.conj
0.000014    11147 complex.norm_sq._proof_1
0.000016    11148 complex.norm_sq._proof_2
0.000017    11149 tactic.ring.horner_mul_horner
0.000017    11150 tactic.ring.horner_mul_horner_zero
0.000016    11151 tactic.ring.horner_horner
0.000016    11152 norm_num.add_neg_neg
0.000017    11153 tactic.ring.zero_horner
0.000016    11154 complex.norm_sq._proof_3
0.000016    11155 complex.norm_sq
0.000017    11156 complex.has_inv
0.000016    11157 complex.field._proof_1
0.000016    11158 complex.field._proof_2
0.000016    11159 complex.inv_def
0.000016    11160 complex.conj_re
0.000017    11161 complex.conj_im
0.000016    11162 complex.norm_sq.equations._eqn_1
0.000016    11163 monoid_with_zero_hom.coe_mk
0.000017    11164 complex.of_real_re
0.000016    11165 complex.of_real_im
0.000016    11166 complex.of_real_add
0.000016    11167 complex.of_real_mul
0.000017    11168 complex.mul_conj
0.000016    11169 abs_mul_abs_self
0.000016    11170 abs_mul_self
0.000017    11171 mul_self_nonneg
0.000016    11172 mul_self_eq_zero
0.000016    11173 mul_self_add_mul_self_eq_zero
0.000016    11174 eq_zero_of_mul_self_add_mul_self_eq_zero
0.000017    11175 complex.norm_sq_zero
0.000016    11176 complex.norm_sq_eq_zero
0.000016    11177 complex.of_real_one
0.000016    11178 complex.mul_inv_cancel
0.000017    11179 complex.of_real_zero
0.000016    11180 complex.inv_re
0.000016    11181 complex.norm_sq_of_real
0.000017    11182 inv_mul_mul_self
0.000016    11183 div_self_mul_self'
0.000017    11184 complex.inv_im
0.000016    11185 zero_div
0.000016    11186 complex.of_real_inv
0.000017    11187 complex.inv_zero
0.000016    11188 complex.field
0.000016    11189 nat.coprime.equations._eqn_1
0.000017    11190 nat.coprime.decidable._proof_1
0.000016    11191 nat.coprime.decidable
0.000016    11192 nat.totient
0.000017    11193 list.length_pmap
0.000016    11194 multiset.card_pmap
0.000016    11195 multiset.card_attach
0.000017    11196 finset.card_attach
0.000016    11197 finset.card.equations._eqn_1
0.000016    11198 list.length_map
0.000017    11199 multiset.card_map
0.000016    11200 finset.card_image_of_inj_on
0.000017    11201 finset.card_image_of_injective
0.000016    11202 finset.card_congr
0.000017    11203 primitive_roots.equations._eqn_1
0.000016    11204 multiset.mem_to_finset
0.000017    11205 polynomial.nth_roots.equations._eqn_1
0.000016    11206 polynomial.roots.equations._eqn_1
0.000016    11207 polynomial.count_roots
0.237963    11208 enat.has_one
0.000094    11209 enat.coe_lt_top
0.000023    11210 enat.pos_iff_one_le
0.000015    11211 multiplicity.dvd_of_multiplicity_pos
0.000014    11212 enat.has_add._proof_1
0.000014    11213 enat.has_add._proof_2
0.000015    11214 enat.has_add
0.000014    11215 enat.add_comm_monoid._proof_1
0.000014    11216 enat.add_comm_monoid._proof_2
0.000014    11217 enat.add_comm_monoid._proof_3
0.000014    11218 enat.add_comm_monoid._proof_4
0.000019    11219 enat.add_comm_monoid
0.000018    11220 enat.top_add
0.000016    11221 enat.ordered_add_comm_monoid._match_1
0.000015    11222 enat.ordered_add_comm_monoid._proof_1
0.000014    11223 enat.add_top
0.000017    11224 enat.coe_add
0.000015    11225 enat.ordered_add_comm_monoid._proof_2
0.000017    11226 enat.ordered_add_comm_monoid
0.000017    11227 enat.canonically_ordered_add_monoid._match_1
0.000014    11228 enat.canonically_ordered_add_monoid._proof_1
0.000014    11229 enat.canonically_ordered_add_monoid
0.000018    11230 multiplicity.dvd_iff_multiplicity_pos
0.000015    11231 polynomial.root_multiplicity_pos
0.000017    11232 polynomial.mem_roots
0.000017    11233 ring_hom.map_pow
0.000014    11234 is_semiring_hom
0.000014    11235 is_mul_hom
0.000017    11236 is_monoid_hom
0.000015    11237 is_monoid_hom.map_one
0.000017    11238 monoid_hom.of._proof_1
0.000017    11239 is_mul_hom.map_mul
0.000014    11240 is_monoid_hom.to_is_mul_hom
0.000014    11241 monoid_hom.of._proof_2
0.000018    11242 monoid_hom.of
0.000015    11243 is_semiring_hom.map_mul
0.000017    11244 is_semiring_hom.map_one
0.000017    11245 is_semiring_hom.is_monoid_hom
0.000014    11246 ring_hom.of._proof_1
0.000015    11247 ring_hom.of._proof_2
0.000014    11248 is_semiring_hom.map_add
0.000014    11249 is_semiring_hom.map_zero
0.000014    11250 is_semiring_hom.is_add_monoid_hom
0.000014    11251 ring_hom.of._proof_3
0.000014    11252 ring_hom.of._proof_4
0.000014    11253 ring_hom.of
0.000019    11254 polynomial.eval₂.is_semiring_hom
0.000017    11255 polynomial.eval₂_ring_hom
0.000017    11256 polynomial.eval₂_pow
0.000016    11257 polynomial.eval_pow
0.000016    11258 polynomial.mem_nth_roots
0.000017    11259 is_primitive_root.pow_eq_one
0.000016    11260 mem_primitive_roots
0.000017    11261 nat.coprime_zero_right
0.000016    11262 units.mk_of_mul_eq_one._proof_1
0.000016    11263 units.mk_of_mul_eq_one
0.000016    11264 is_unit_of_mul_eq_one
0.000017    11265 is_primitive_root.is_unit
0.000016    11266 comm_group
0.000016    11267 comm_group.mul
0.000016    11268 comm_group.mul_assoc
0.000016    11269 comm_group.one
0.000017    11270 comm_group.one_mul
0.000016    11271 comm_group.mul_one
0.000016    11272 comm_group.mul_comm
0.000016    11273 comm_group.to_comm_monoid
0.000016    11274 units.comm_group._proof_1
0.000017    11275 units.comm_group._proof_2
0.000016    11276 units.comm_group._proof_3
0.000016    11277 units.comm_group._proof_4
0.000017    11278 units.comm_group._proof_5
0.000014    11279 units.comm_group._proof_6
0.000014    11280 units.comm_group
0.000018    11281 is_primitive_root.dcases_on
0.000026    11282 is_primitive_root.iff_def
0.000020    11283 units.ext_iff
0.000015    11284 is_primitive_root.coe_units_iff
0.000016    11285 pow_mul
0.000016    11286 pow_mul'
0.000017    11287 is_primitive_root.dvd_of_pow_eq_one
0.000016    11288 int.sizeof
0.000017    11289 int.has_sizeof_inst
0.000017    11290 xgcd_aux._main._pack._wf_rec_mk_dec_tactic._aux_1
0.000016    11291 nat.xgcd_aux._main._pack
0.000017    11292 nat.xgcd_aux._main
0.000016    11293 nat.xgcd_aux
0.000017    11294 nat.xgcd
0.000016    11295 nat.gcd_a
0.000016    11296 nat.gcd_b
0.000017    11297 _private.2789194243.P._main
0.000016    11298 _private.2789194243.P
0.000017    11299 nat.gcd_a.equations._eqn_1
0.000016    11300 nat.gcd_b.equations._eqn_1
0.000017    11301 nat.xgcd_val
0.000016    11302 nat.xgcd.equations._eqn_1
0.000017    11303 nat.xgcd_aux._main._pack.equations._eqn_1
0.000016    11304 nat.xgcd_aux._main.equations._eqn_1
0.000017    11305 nat.xgcd_aux.equations._eqn_1
0.000016    11306 nat.xgcd_zero_left
0.000017    11307 nat.xgcd_aux._main._pack.equations._eqn_2
0.000016    11308 nat.xgcd_aux._main.equations._eqn_2
0.000017    11309 nat.xgcd_aux.equations._eqn_2
0.000016    11310 nat.xgcd_aux_rec
0.000017    11311 nat.xgcd_aux_fst
0.000016    11312 nat.xgcd_aux_val
0.000017    11313 nat.xgcd_aux_P
0.000016    11314 _private.2789194243.P._main.equations._eqn_1
0.000017    11315 _private.2789194243.P.equations._eqn_1
0.000016    11316 nat.gcd_eq_gcd_ab
0.000017    11317 commute.right_comm
0.000016    11318 commute.mul_pow
0.000017    11319 mul_pow
0.000016    11320 gpow_sub
0.000016    11321 gpow_mul
0.000017    11322 one_gpow
0.000016    11323 is_primitive_root.pow_of_coprime
0.000017    11324 nat.eq_zero_of_dvd_of_div_eq_zero
0.000016    11325 nat.mul_right_inj
0.000017    11326 nat.div_eq_zero_iff
0.000016    11327 nat.eq_zero_of_dvd_of_lt
0.000017    11328 units.mul_left_inj
0.000017    11329 is_unit.mul_left_inj
0.000016    11330 nat.sub_le_self
0.000017    11331 iff.to_eq
0.000016    11332 is_primitive_root.pow_inj
0.000017    11333 invertible
0.000016    11334 invertible.inv_of
0.247154    11335 invertible.mul_inv_of_self
0.000093    11336 mul_inv_of_self
0.000024    11337 unit_of_invertible._proof_1
0.000015    11338 invertible.inv_of_mul_self
0.000014    11339 inv_of_mul_self
0.000014    11340 unit_of_invertible._proof_2
0.000014    11341 unit_of_invertible
0.000015    11342 is_unit_of_invertible
0.000014    11343 invertible_of_pow_succ_eq_one._proof_1
0.000014    11344 invertible_of_pow_succ_eq_one._proof_2
0.000016    11345 invertible_of_pow_succ_eq_one
0.000015    11346 invertible_of_pow_eq_one._proof_1
0.000014    11347 invertible_of_pow_eq_one
0.000016    11348 is_unit_of_pow_eq_one
0.000017    11349 coe_pnat_nat
0.000014    11350 subgroup
0.000014    11351 subgroup.carrier
0.000017    11352 subgroup.cases_on
0.000015    11353 subgroup.set_like._proof_1
0.000017    11354 subgroup.set_like
0.000017    11355 roots_of_unity._proof_1
0.000014    11356 roots_of_unity._proof_2
0.000014    11357 inv_pow
0.000017    11358 roots_of_unity._proof_3
0.000019    11359 roots_of_unity
0.000016    11360 subgroup.one_mem'
0.000017    11361 subgroup.copy._proof_1
0.000016    11362 subgroup.mul_mem'
0.000015    11363 subgroup.copy._proof_2
0.000014    11364 subgroup.inv_mem'
0.000017    11365 subgroup.copy._proof_3
0.000015    11366 subgroup.copy
0.000017    11367 submonoid.map._proof_1
0.000017    11368 submonoid.map._proof_2
0.000014    11369 submonoid.map
0.000014    11370 subgroup.to_submonoid
0.000017    11371 subgroup.map._proof_1
0.000015    11372 subgroup.map._proof_2
0.000016    11373 subgroup.inv_mem
0.000017    11374 monoid_hom.map_mul_eq_one
0.000017    11375 monoid_hom.map_inv
0.000017    11376 subgroup.map._proof_3
0.000016    11377 subgroup.map
0.000017    11378 submonoid.has_top._proof_1
0.000016    11379 submonoid.has_top._proof_2
0.000016    11380 submonoid.has_top
0.000017    11381 subgroup.has_top._proof_1
0.000016    11382 subgroup.has_top._proof_2
0.000016    11383 subgroup.has_top._proof_3
0.000017    11384 subgroup.has_top
0.000016    11385 subgroup.coe_map
0.000016    11386 subgroup.coe_top
0.000017    11387 monoid_hom.range._proof_1
0.000016    11388 monoid_hom.range
0.000017    11389 gpowers_hom._proof_1
0.000016    11390 monoid_hom.map_gpow
0.000016    11391 of_add_gsmul
0.000017    11392 gsmul_eq_mul
0.000016    11393 int.cast_id
0.000016    11394 gsmul_int_int
0.000017    11395 gpowers_hom._proof_2
0.000016    11396 gpowers_hom
0.000017    11397 subgroup.gpowers._proof_1
0.000027    11398 subgroup.gpowers
0.000017    11399 fintype.card
0.000014    11400 set.has_ssubset
0.000015    11401 set.eq_or_ssubset_of_subset
0.000014    11402 finset.card_map
0.000017    11403 finset.val_lt_iff
0.000017    11404 finset.card_lt_card
0.000016    11405 finset.card_lt_univ_of_not_mem
0.000017    11406 finset.coe_map
0.000016    11407 finset.coe_univ
0.000017    11408 fintype.card_lt_of_injective_of_not_mem
0.000016    11409 fintype.card_lt_of_injective_not_surjective
0.000017    11410 set.inclusion._proof_1
0.000016    11411 set.inclusion
0.000016    11412 set.inclusion_injective
0.000016    11413 set.ssubset_iff_subset_ne
0.000016    11414 set.inclusion.equations._eqn_1
0.000017    11415 subtype.mk_eq_mk
0.000016    11416 set.range_inclusion
0.000016    11417 set.eq_of_inclusion_surjective
0.000016    11418 set.card_lt_card
0.000016    11419 set.eq_of_subset_of_card_le
0.000017    11420 fintype.of_bijective._proof_1
0.000016    11421 multiset.mem_map_of_injective
0.000016    11422 finset.mem_map'
0.000026    11423 finset.mem_map_of_mem
0.000017    11424 fintype.of_bijective._match_1
0.000016    11425 fintype.of_bijective._proof_2
0.000016    11426 fintype.of_bijective
0.000017    11427 equiv.bijective
0.000016    11428 fintype.of_equiv
0.000017    11429 set_like.has_coe_to_sort
0.000016    11430 zmod._main
0.000016    11431 zmod
0.000017    11432 fact
0.000016    11433 fact.out
0.000016    11434 fin.mk
0.000017    11435 list.fin_range._proof_1
0.000016    11436 list.fin_range
0.000017    11437 list.nodup_fin_range
0.000016    11438 finset.fin_range
0.000016    11439 fin.eta
0.000017    11440 list.mem_fin_range
0.000016    11441 finset.mem_fin_range
0.000016    11442 fin.fintype
0.000017    11443 zmod.fintype._main
0.000016    11444 zmod.fintype
0.000016    11445 pnat.pos
0.000017    11446 _private.4164854483.mlt
0.000016    11447 fin.add._main
0.000017    11448 fin.add
0.000016    11449 fin.has_add
0.000017    11450 fin.eq_iff_veq
0.000016    11451 fin.add._main._proof_1
0.000016    11452 fin.add._main.equations._eqn_1
0.000017    11453 fin.add.equations._eqn_1
0.000014    11454 fin.add_def
0.000016    11455 fin.val_eq_coe
0.000017    11456 nat.mod_add_mod
0.000016    11457 nat.add_mod_mod
0.000016    11458 fin.inhabited
0.000016    11459 fin.add_comm_monoid._proof_1
0.000017    11460 fin.val_zero'
0.000016    11461 fin.is_lt
0.000017    11462 fin.zero_add
0.000016    11463 fin.add_zero
0.000016    11464 fin.add_comm_monoid._proof_2
0.000017    11465 fin.add_comm_monoid
0.000016    11466 fin.add_comm_group._proof_1
0.000017    11467 fin.add_comm_group._proof_2
0.000016    11468 fin.add_comm_group._proof_3
0.000017    11469 int.nat_mod
0.000016    11470 int.nat_mod.equations._eqn_1
0.000016    11471 int.to_nat_of_nonneg
0.000017    11472 int.coe_nat_ne_zero_iff_pos
0.000016    11473 fin.has_neg._proof_1
0.000017    11474 fin.has_neg
0.000016    11475 fin.sub._main
0.118582    11476 fin.sub
0.000087    11477 int.coe_nat_mod
0.000024    11478 int.add_mul_mod_self_left
0.000015    11479 int.mod_add_mod
0.000014    11480 int.add_mod_eq_add_mod_right
0.000073    11481 int.mod_add_cancel_right
0.000015    11482 int.mod_add_cancel_left
0.000017    11483 int.add_mod_self
0.000017    11484 int.add_mod_self_left
0.000015    11485 int.mod_mod
0.000014    11486 fin.add_comm_group._match_2
0.000017    11487 fin.add_comm_group._match_3
0.000018    11488 fin.add_comm_group._proof_4
0.000015    11489 int.add_mod_mod
0.000016    11490 fin.add_comm_group._match_1
0.000015    11491 fin.add_comm_group._proof_5
0.000014    11492 fin.add_comm_group._proof_6
0.000016    11493 fin.add_comm_group
0.000018    11494 fin.comm_ring._proof_1
0.000015    11495 fin.comm_ring._proof_2
0.000014    11496 fin.comm_ring._proof_3
0.000014    11497 fin.comm_ring._proof_4
0.000016    11498 fin.comm_ring._proof_5
0.000017    11499 fin.comm_ring._proof_6
0.000014    11500 fin.mul._main
0.000014    11501 fin.mul
0.000017    11502 fin.has_mul
0.000017    11503 nat.modeq
0.000015    11504 nat.modeq.trans
0.000016    11505 nat.modeq.equations._eqn_1
0.000014    11506 int.mod_sub_cancel_right
0.000014    11507 int.mod_eq_mod_iff_mod_sub_eq_zero
0.000017    11508 int.dvd_of_mod_eq_zero
0.000015    11509 int.dvd_iff_mod_eq_zero
0.000016    11510 nat.modeq.modeq_iff_dvd
0.000018    11511 nat.modeq.modeq_of_dvd
0.000016    11512 nat.modeq.dvd_of_modeq
0.000017    11513 nat.modeq.modeq_of_dvd_of_modeq
0.000017    11514 nat.modeq.modeq_mul_left'
0.000016    11515 nat.modeq.modeq_mul_left
0.000017    11516 nat.modeq.modeq_mul_right
0.000016    11517 nat.modeq.modeq_mul
0.000016    11518 nat.mod_mod
0.000017    11519 nat.modeq.refl
0.000016    11520 fin.comm_semigroup._match_1
0.000017    11521 fin.comm_semigroup._match_2
0.000016    11522 fin.comm_semigroup._match_3
0.000017    11523 fin.comm_semigroup._proof_1
0.000016    11524 fin.comm_semigroup._match_4
0.000017    11525 fin.comm_semigroup._match_5
0.000017    11526 fin.comm_semigroup._proof_2
0.000016    11527 fin.comm_semigroup
0.000016    11528 fin.comm_ring._proof_7
0.000017    11529 fin.of_nat._proof_1
0.000016    11530 fin.of_nat
0.000017    11531 fin.has_one
0.000016    11532 fin.eq_zero
0.000016    11533 fin.unique
0.000017    11534 fin.mul._main._proof_1
0.000017    11535 fin.mul._main.equations._eqn_1
0.000016    11536 fin.mul.equations._eqn_1
0.000017    11537 fin.mul_def
0.000016    11538 fin.val_one
0.000017    11539 fin.one_mul
0.000016    11540 fin.mul_one
0.000017    11541 dvd_add
0.000016    11542 nat.modeq.modeq_add
0.000016    11543 _private.714950445.left_distrib_aux
0.000017    11544 fin.comm_ring._proof_8
0.000016    11545 fin.comm_ring._proof_9
0.000016    11546 fin.comm_ring
0.000017    11547 zmod.comm_ring._main
0.000016    11548 zmod.comm_ring
0.000016    11549 submonoid.has_mul._proof_1
0.000017    11550 submonoid.has_mul
0.000016    11551 subgroup.has_mul
0.000016    11552 add_equiv.of_bijective._proof_1
0.000017    11553 add_equiv.of_bijective._proof_2
0.000016    11554 add_equiv.of_bijective
0.000017    11555 function.injective.group._proof_1
0.000016    11556 function.injective.group._proof_2
0.000017    11557 function.injective.group._proof_3
0.000015    11558 function.injective.group._proof_4
0.000014    11559 function.injective.group._proof_5
0.000016    11560 function.injective.group
0.000017    11561 submonoid.has_one
0.000016    11562 subgroup.has_one
0.000017    11563 subgroup.has_inv._proof_1
0.000016    11564 subgroup.has_inv
0.000017    11565 subgroup.div_mem
0.000017    11566 subgroup.has_div._proof_1
0.000016    11567 subgroup.has_div
0.000017    11568 subgroup.to_group._proof_1
0.000016    11569 subgroup.to_group._proof_2
0.000017    11570 subgroup.to_group._proof_3
0.000016    11571 subgroup.to_group._proof_4
0.000016    11572 subgroup.to_group._proof_5
0.000017    11573 subgroup.to_group
0.000016    11574 additive.sub_neg_monoid._proof_1
0.000016    11575 additive.sub_neg_monoid._proof_2
0.000017    11576 additive.sub_neg_monoid._proof_3
0.000017    11577 additive.has_neg
0.000016    11578 additive.has_sub
0.000017    11579 additive.sub_neg_monoid
0.000016    11580 additive.add_group._proof_1
0.000017    11581 additive.add_group._proof_2
0.000016    11582 additive.add_group._proof_3
0.000017    11583 additive.add_group._proof_4
0.000016    11584 additive.add_group
0.000017    11585 add_subgroup.has_bot._proof_1
0.000016    11586 add_subgroup.has_bot._proof_2
0.000017    11587 add_submonoid.mem_carrier
0.000016    11588 neg_eq_zero
0.000017    11589 add_subgroup.has_bot._proof_3
0.000016    11590 add_subgroup.has_bot
0.000016    11591 add_monoid_hom.ker
0.000017    11592 add_monoid_hom.lift_of_right_inverse_aux._proof_1
0.000016    11593 add_neg_eq_zero
0.000016    11594 add_monoid_hom.mem_ker
0.000017    11595 add_monoid_hom.lift_of_right_inverse_aux._proof_2
0.000016    11596 add_monoid_hom.lift_of_right_inverse_aux
0.000016    11597 add_monoid_hom.lift_of_right_inverse._proof_1
0.000017    11598 add_monoid_hom.lift_of_right_inverse._proof_2
0.000016    11599 add_monoid_hom.comp_apply
0.608761    11600 add_monoid_hom.lift_of_right_inverse_aux_comp_apply
0.000093    11601 add_monoid_hom.lift_of_right_inverse._proof_3
0.000024    11602 add_monoid_hom.lift_of_right_inverse_aux.equations._eqn_1
0.000015    11603 add_monoid_hom.lift_of_right_inverse._proof_4
0.000014    11604 add_monoid_hom.lift_of_right_inverse
0.000014    11605 zmod.val._main
0.000014    11606 zmod.val
0.000014    11607 zmod.cast._main
0.000014    11608 zmod.cast
0.000015    11609 zmod.has_coe_t
0.000014    11610 int.nat_cast_eq_coe_nat
0.000017    11611 fin.ext
0.000017    11612 fin.val_add
0.000016    11613 fin.of_nat.equations._eqn_1
0.000015    11614 nat.add_mod
0.000014    11615 fin.of_nat_eq_coe
0.000017    11616 fin.coe_val_of_lt
0.000014    11617 fin.coe_val_eq_self
0.000014    11618 fin.coe_coe_eq_self
0.000018    11619 zmod.int_cast_zmod_cast
0.000016    11620 zmod.int_cast_right_inverse
0.000015    11621 is_primitive_root.zmod_equiv_gpowers._proof_1
0.000014    11622 is_primitive_root.zmod_equiv_gpowers._proof_2
0.000016    11623 is_primitive_root.zmod_equiv_gpowers._proof_3
0.000015    11624 char_p
0.000016    11625 dvd_neg
0.000017    11626 nat.can_lift._proof_1
0.000014    11627 nat.can_lift
0.000014    11628 char_p.cast_eq_zero_iff
0.000017    11629 char_p.int_cast_eq_zero_iff
0.000015    11630 zmod.val_nat_cast
0.000016    11631 zmod.val_zero
0.000017    11632 nat.dvd_of_mod_eq_zero
0.000014    11633 nat.dvd_iff_mod_eq_zero
0.000014    11634 zmod.char_p
0.000017    11635 is_primitive_root.zmod_equiv_gpowers._proof_4
0.000015    11636 add_monoid_hom.injective_iff
0.000014    11637 comm_group.inv
0.000016    11638 comm_group.div
0.000017    11639 comm_group.div_eq_mul_inv
0.000016    11640 comm_group.mul_left_inv
0.000017    11641 comm_group.to_group
0.000016    11642 is_primitive_root.pow_eq_one_iff_dvd
0.000017    11643 inv_involutive
0.000017    11644 inv_injective
0.000016    11645 inv_inj
0.000016    11646 is_primitive_root.gpow_eq_one_iff_dvd
0.000017    11647 has_coe_t_aux
0.000016    11648 has_coe_t_aux.coe
0.000017    11649 coe_fn_trans
0.000017    11650 coe_base_aux
0.000016    11651 add_monoid_hom.lift_of_right_inverse_comp_apply
0.000017    11652 is_primitive_root.zmod_equiv_gpowers._proof_5
0.000014    11653 is_primitive_root.zmod_equiv_gpowers
0.000014    11654 fintype.of_multiset._proof_1
0.000017    11655 fintype.of_multiset
0.000017    11656 multiset.subtype.fintype
0.000016    11657 mem_roots_of_unity
0.000017    11658 mem_roots_of_unity_iff_mem_nth_roots
0.000016    11659 roots_of_unity_equiv_nth_roots._proof_1
0.000016    11660 subtype.val_injective
0.000017    11661 subtype.linear_order
0.000016    11662 pnat.linear_order
0.000017    11663 pnat.has_one
0.000016    11664 pnat.one_le
0.000016    11665 roots_of_unity_equiv_nth_roots._proof_2
0.000017    11666 roots_of_unity_equiv_nth_roots._proof_3
0.000016    11667 units.coe_mk
0.000016    11668 roots_of_unity_equiv_nth_roots._proof_4
0.000017    11669 roots_of_unity_equiv_nth_roots._proof_5
0.000016    11670 roots_of_unity_equiv_nth_roots._proof_6
0.000016    11671 roots_of_unity_equiv_nth_roots
0.000017    11672 roots_of_unity.fintype
0.000016    11673 submonoid.to_monoid._proof_1
0.000027    11674 submonoid.to_monoid._proof_2
0.000018    11675 submonoid.to_monoid._proof_3
0.000015    11676 submonoid.to_monoid
0.000017    11677 submonoid.to_mul_one_class._proof_1
0.000016    11678 submonoid.to_mul_one_class._proof_2
0.000017    11679 submonoid.to_mul_one_class._proof_3
0.000016    11680 submonoid.to_mul_one_class
0.000016    11681 submonoid.subtype._proof_1
0.000017    11682 submonoid.subtype._proof_2
0.000016    11683 submonoid.subtype
0.000016    11684 submonoid.coe_pow
0.000017    11685 submonoid.pow_mem
0.000016    11686 subgroup.pow_mem
0.000016    11687 subgroup.gpow_mem
0.000016    11688 subgroup.gpowers_subset
0.000016    11689 fintype.of_equiv_card
0.000016    11690 fintype.subsingleton._match_1
0.000017    11691 fintype.subsingleton._match_2
0.000016    11692 fintype.subsingleton
0.000016    11693 fintype.card_congr
0.000017    11694 multiset.card_le_of_le
0.000016    11695 list.erase_dup_sublist
0.000016    11696 multiset.erase_dup_le
0.000017    11697 multiset.empty_eq_zero
0.000016    11698 multiset.card_zero
0.000016    11699 polynomial.card_roots
0.000016    11700 is_ring_hom
0.000017    11701 is_ring_hom.map_add
0.000016    11702 is_ring_hom.map_zero
0.000016    11703 is_ring_hom.map_neg
0.000017    11704 is_ring_hom.map_sub
0.000016    11705 is_ring_hom.of_semiring
0.000016    11706 ring_hom.is_semiring_hom
0.000016    11707 ring_hom.is_ring_hom
0.000017    11708 polynomial.card_nth_roots
0.000016    11709 card_roots_of_unity
0.000016    11710 list.fin_range.equations._eqn_1
0.000016    11711 list.length_range
0.000016    11712 list.length_fin_range
0.000017    11713 fintype.card_fin
0.000016    11714 zmod.card
0.000016    11715 is_primitive_root.gpowers_eq
0.000016    11716 is_primitive_root.gpow_eq_one
0.000016    11717 is_primitive_root.eq_pow_of_mem_roots_of_unity
0.000017    11718 is_primitive_root.eq_pow_of_pow_eq_one
0.000016    11719 nat.mul_left_inj
0.000016    11720 is_primitive_root.pow_iff_coprime
0.282329    11721 is_primitive_root.is_primitive_root_iff
0.000092    11722 is_primitive_root.card_primitive_roots
0.000024    11723 rel_iso
0.000014    11724 order_iso
0.000015    11725 equiv.to_embedding
0.000014    11726 rel_iso.to_equiv
0.000014    11727 rel_iso.map_rel_iff'
0.000015    11728 rel_iso.to_rel_embedding
0.000014    11729 rel_iso.rel_embedding.has_coe
0.000014    11730 rel_iso.has_coe_to_fun
0.000016    11731 rel_iso.map_rel_iff
0.000017    11732 rel_iso.symm._proof_1
0.000017    11733 rel_iso.symm
0.000016    11734 order_iso.symm
0.000017    11735 rel_iso.trans._proof_1
0.000015    11736 rel_iso.trans
0.000014    11737 order_iso.trans
0.000017    11738 strict_mono.order_iso._proof_1
0.000014    11739 strict_mono.order_iso
0.000018    11740 order_iso.set_congr._proof_1
0.000017    11741 order_iso.set_congr
0.000014    11742 order_iso.set.univ._proof_1
0.000015    11743 order_iso.set.univ
0.000017    11744 strict_mono.order_iso_of_surjective
0.000014    11745 mul_self_lt_mul_self
0.000015    11746 nnreal.sqrt._proof_1
0.000017    11747 filter.at_bot
0.000016    11748 is_preconnected
0.000014    11749 preconnected_space
0.000015    11750 set.subset_compl_iff_disjoint
0.000014    11751 is_preconnected_closed_iff
0.000017    11752 preconnected_space.is_preconnected_univ
0.000016    11753 intermediate_value_univ₂
0.000017    11754 intermediate_value_univ
0.000017    11755 mem_range_of_exists_le_of_exists_ge
0.000016    11756 set.restrict
0.000017    11757 subtype.preconnected_space
0.000017    11758 map_nhds_induced_eq
0.000016    11759 inducing.map_nhds_eq
0.000017    11760 embedding.map_nhds_eq
0.000016    11761 embedding_subtype_coe
0.000016    11762 nhds_within_eq_map_subtype_coe
0.000017    11763 set.restrict.equations._eqn_1
0.000016    11764 tendsto_nhds_within_iff_subtype
0.000017    11765 continuous_within_at_iff_continuous_at_restrict
0.000016    11766 continuous_on_iff_continuous_restrict
0.000017    11767 is_preconnected.intermediate_value₂
0.000016    11768 continuous_on_const
0.000017    11769 is_preconnected.intermediate_value
0.000016    11770 continuous_on_id
0.000016    11771 is_preconnected.Icc_subset
0.000016    11772 is_preconnected_of_forall_pair
0.000017    11773 set.interval
0.000024    11774 set.interval.equations._eqn_1
0.000015    11775 set.interval_of_le
0.000014    11776 set.interval_of_ge
0.000017    11777 set.ord_connected.interval_subset
0.000017    11778 set.mem_Icc
0.000017    11779 set.left_mem_interval
0.000016    11780 set.interval_swap
0.000017    11781 set.right_mem_interval
0.000016    11782 set.Icc_subset_Icc
0.000016    11783 set.right_mem_Icc
0.000017    11784 set.left_mem_Icc
0.000016    11785 is_lub.mem_of_is_closed
0.000017    11786 is_lub_cSup
0.000016    11787 is_closed.cSup_mem
0.000016    11788 is_closed.mem_of_ge_of_forall_exists_gt
0.000016    11789 set.Icc_subset_Icc_right
0.000016    11790 is_closed_ge'
0.000017    11791 is_closed_Ici
0.000016    11792 is_closed_le'
0.000016    11793 is_closed_Iic
0.000016    11794 is_closed_Icc
0.000016    11795 set.Ico_subset_Ico_right
0.000016    11796 is_closed.Icc_subset_of_forall_exists_gt
0.000016    11797 set.Ioi_subset_Ici_self
0.000017    11798 sup_sdiff_left
0.000016    11799 sup_sdiff_self_right
0.000016    11800 sup_sdiff_self_left
0.000016    11801 inf_sdiff_self_left
0.000016    11802 sup_le_sup_right
0.000016    11803 sdiff_le_iff
0.000016    11804 set.diff_subset_iff
0.000017    11805 set.union_eq_self_of_subset_left
0.000016    11806 diff_subset_closure_iff
0.000016    11807 set.mem_diff
0.000016    11808 set.Ici_diff_left
0.000017    11809 inf_sdiff_left
0.000016    11810 sup_inf_inf_sdiff
0.000016    11811 inf_sdiff_sup_left
0.000016    11812 inf_sdiff_sup_right
0.000017    11813 sdiff_sdiff_right
0.000016    11814 sdiff_sdiff_right_self
0.000016    11815 sdiff_sdiff_eq_self
0.000016    11816 set.diff_diff_cancel_left
0.000017    11817 set.Ici_diff_Ioi_same
0.000016    11818 is_glb.frequently_mem
0.000016    11819 is_glb.frequently_nhds_mem
0.000016    11820 is_glb.mem_closure
0.000016    11821 is_lub_Iio
0.000017    11822 and.symm
0.000016    11823 order_dual.densely_ordered
0.000016    11824 is_glb_Ioi
0.000016    11825 closure_Ioi'
0.000016    11826 nhds_within_Ioi_ne_bot'
0.000017    11827 nhds_within_Ioi_self_ne_bot'
0.000016    11828 is_closed.Icc_subset_of_forall_mem_nhds_within
0.000016    11829 imp_eq_of_eq_true_left
0.000017    11830 set.union_comm
0.000016    11831 set.union_is_comm
0.000016    11832 is_preconnected_Icc
0.000017    11833 is_preconnected_interval
0.000016    11834 is_preconnected_iff_ord_connected
0.000016    11835 set.ord_connected.is_preconnected
0.000016    11836 set.ord_connected_univ
0.000017    11837 ordered_connected_space
0.000016    11838 filter.eventually.exists
0.000017    11839 order_dual.nonempty
0.000016    11840 filter.at_bot_ne_bot
0.000017    11841 has_Sup_to_nonempty
0.000016    11842 filter.mem_at_bot
0.000017    11843 filter.eventually_le_at_bot
0.000016    11844 continuous.surjective
0.000016    11845 filter.tendsto_at_top
0.000017    11846 filter.monotone_mem_sets
0.000016    11847 filter.tendsto_at_top_mono'
0.000017    11848 filter.tendsto.at_top_mul_at_top
0.000014    11849 filter.tendsto_mul_self_at_top
1.275226    11850 filter.order_bot.at_bot_eq
0.000094    11851 filter.eventually_pure
0.000024    11852 nnreal.sqrt._proof_2
0.000014    11853 nnreal.sqrt
0.000014    11854 real.sqrt
0.000015    11855 complex.abs
0.000014    11856 nnreal.coe_nonneg
0.000014    11857 real.sqrt_nonneg
0.000014    11858 complex.abs_nonneg
0.000014    11859 real.sqrt.equations._eqn_1
0.000017    11860 nnreal.sqrt_eq_iff_sqr_eq
0.000017    11861 nnreal.sqrt_eq_zero
0.000016    11862 nnreal.sqrt_zero
0.000017    11863 real.sqrt_zero
0.000014    11864 order_iso.le_iff_le
0.000015    11865 real.sqrt_le
0.000018    11866 real.sqrt_inj
0.000018    11867 real.sqrt_eq_zero
0.000015    11868 complex.norm_sq_nonneg
0.000018    11869 complex.abs_eq_zero
0.000016    11870 mul_self_le_mul_self
0.000014    11871 nonneg_le_nonneg_of_squares_le
0.000015    11872 mul_self_le_mul_self_iff
0.000016    11873 order_iso.symm_apply_apply
0.000018    11874 nnreal.mul_sqrt_self
0.000015    11875 real.mul_self_sqrt
0.000014    11876 complex.mul_self_abs
0.000017    11877 add_mul_self_eq
0.000017    11878 tactic.ring.horner_add_horner_gt
0.000014    11879 complex.norm_sq_add
0.000014    11880 real.semigroup
0.000017    11881 complex.abs.equations._eqn_1
0.000014    11882 complex.norm_sq_mul
0.000017    11883 linear_ordered_comm_group_with_zero
0.000017    11884 linear_ordered_comm_group_with_zero.le
0.000016    11885 linear_ordered_comm_group_with_zero.lt
0.000017    11886 linear_ordered_comm_group_with_zero.le_refl
0.000016    11887 linear_ordered_comm_group_with_zero.le_trans
0.000016    11888 linear_ordered_comm_group_with_zero.lt_iff_le_not_le
0.000017    11889 linear_ordered_comm_group_with_zero.le_antisymm
0.000016    11890 linear_ordered_comm_group_with_zero.le_total
0.000016    11891 linear_ordered_comm_group_with_zero.decidable_le
0.000017    11892 linear_ordered_comm_group_with_zero.decidable_eq
0.000016    11893 linear_ordered_comm_group_with_zero.decidable_lt
0.000017    11894 linear_ordered_comm_group_with_zero.mul
0.000016    11895 linear_ordered_comm_group_with_zero.mul_assoc
0.000017    11896 linear_ordered_comm_group_with_zero.one
0.000016    11897 linear_ordered_comm_group_with_zero.one_mul
0.000017    11898 linear_ordered_comm_group_with_zero.mul_one
0.000016    11899 linear_ordered_comm_group_with_zero.mul_comm
0.000016    11900 linear_ordered_comm_group_with_zero.mul_le_mul_left
0.000017    11901 linear_ordered_comm_group_with_zero.lt_of_mul_lt_mul_left
0.000016    11902 linear_ordered_comm_group_with_zero.zero
0.000016    11903 linear_ordered_comm_group_with_zero.zero_mul
0.000017    11904 linear_ordered_comm_group_with_zero.mul_zero
0.000016    11905 linear_ordered_comm_group_with_zero.zero_le_one
0.000016    11906 linear_ordered_comm_group_with_zero.to_linear_ordered_comm_monoid_with_zero
0.000017    11907 canonically_linear_ordered_add_monoid.to_canonically_ordered_add_monoid
0.000016    11908 nnreal.linear_ordered_comm_group_with_zero._proof_1
0.000016    11909 linear_ordered_comm_monoid_with_zero.lt_of_mul_lt_mul_left._default
0.000017    11910 nnreal.linear_ordered_comm_group_with_zero._proof_2
0.000016    11911 nnreal.linear_ordered_comm_group_with_zero._proof_3
0.000017    11912 nnreal.linear_ordered_comm_group_with_zero
0.000016    11913 ordered_comm_monoid.mul_le_mul_left
0.000017    11914 mul_le_mul_left'
0.000016    11915 linear_ordered_comm_monoid_with_zero.zero_le_one
0.000016    11916 zero_le_one'
0.000017    11917 zero_le'
0.000016    11918 le_zero_iff
0.000016    11919 nnreal.of_real_eq_zero
0.000016    11920 nnreal.of_real_mul
0.000017    11921 mul_mul_mul_comm
0.000016    11922 nnreal.sqrt_mul
0.000017    11923 real.sqrt_mul
0.000016    11924 complex.abs_mul
0.000016    11925 complex.norm_sq_conj
0.000016    11926 complex.abs_conj
0.000017    11927 complex.re_sq_le_norm_sq
0.000016    11928 complex.abs_re_le_abs
0.000016    11929 complex.re_le_abs
0.000016    11930 complex.abs_add
0.000017    11931 complex.abs.is_absolute_value
0.000016    11932 complex.sub_re
0.000014    11933 complex.is_cau_seq_re
0.000015    11934 complex.cau_seq_re
0.000014    11935 complex.sub_im
0.000014    11936 complex.im_sq_le_norm_sq
0.000017    11937 complex.abs_im_le_abs
0.000017    11938 complex.is_cau_seq_im
0.000016    11939 complex.cau_seq_im
0.000016    11940 complex.lim_aux
0.000017    11941 complex.I
0.000016    11942 complex.I_re
0.000016    11943 complex.I_im
0.000017    11944 complex.re_add_im
0.000016    11945 real.sqrt_mul_self
0.000016    11946 real.sqrt_mul_self_eq_abs
0.000017    11947 complex.abs_of_real
0.000017    11948 complex.norm_sq_I
0.000016    11949 nnreal.of_real_one
0.000017    11950 nnreal.sqrt_one
0.000016    11951 real.sqrt_one
0.000016    11952 complex.abs_I
0.000017    11953 complex.abs_le_abs_re_add_abs_im
0.000016    11954 complex.equiv_lim_aux
0.000016    11955 complex.abs.cau_seq.is_complete._proof_1
0.000016    11956 complex.abs.cau_seq.is_complete
0.000017    11957 nat.factorial._main
0.000016    11958 nat.factorial
0.000016    11959 is_cau_series_of_abv_le_cau
0.000016    11960 is_cau_series_of_abv_cau
1.831759    11961 monoid_with_zero_hom.to_monoid_hom
0.000093    11962 is_absolute_value.abv_pow
0.000024    11963 local_ring
0.000014    11964 local_ring.to_nontrivial
0.000014    11965 units.is_unit
0.000015    11966 is_unit.mk0
0.000014    11967 field.local_ring
0.000014    11968 neg_div
0.000014    11969 neg_div_neg_eq
0.000014    11970 lt_neg
0.000017    11971 lt_add_of_pos_left
0.000017    11972 nat.pred_lt
0.000016    11973 sub_nonpos
0.000015    11974 forall_ge_le_of_forall_le_succ
0.000014    11975 sub_add
0.000019    11976 is_cau_of_decreasing_bounded
0.000014    11977 is_cau_of_mono_bounded
0.000014    11978 norm_num.nonneg_pos
0.000014    11979 one_div_nonneg
0.000016    11980 div_le_div_of_le
0.000015    11981 add_neg_le_iff_le_add'
0.000017    11982 sub_le_self_iff
0.000017    11983 sub_le_self
0.000017    11984 sub_le_sub_left
0.000016    11985 is_cau_geo_series
0.000017    11986 is_cau_geo_series_const
0.000017    11987 series_ratio_test
0.000016    11988 complex.abs_abs
0.000017    11989 nat.factorial_succ
0.000016    11990 div_mul_div
0.000017    11991 div_div_eq_div_mul
0.000016    11992 mul_div_right_comm
0.000017    11993 complex.abs_div
0.000016    11994 complex.of_real
0.000017    11995 complex.of_real_nat_cast
0.000017    11996 complex.abs_of_nonneg
0.000017    11997 complex.abs_cast_nat
0.000016    11998 div_le_div_of_le_left
0.000017    11999 complex.is_cau_abs_exp
0.000017    12000 complex.is_cau_exp
0.000017    12001 complex.exp'
0.000017    12002 complex.exp
0.000017    12003 complex.cos
0.000014    12004 real.cos
0.000015    12005 intermediate_value_Icc'
0.000014    12006 bit0_le_bit0
0.000014    12007 norm_num.lt_one_bit0
0.000015    12008 norm_num.le_one_bit0
0.000016    12009 nondiscrete_normed_field
0.000017    12010 normed_space
0.000016    12011 nondiscrete_normed_field.to_normed_field
0.000017    12012 continuous_linear_map
0.000014    12013 normed_space.to_semimodule
0.000015    12014 asymptotics.is_o
0.000018    12015 continuous_linear_map.to_linear_map
0.000014    12016 continuous_linear_map.linear_map.has_coe
0.000017    12017 continuous_linear_map.to_fun
0.000016    12018 has_fderiv_at_filter
0.000017    12019 has_fderiv_at
0.000014    12020 differentiable_at
0.000014    12021 differentiable
0.000017    12022 has_vadd
0.000016    12023 has_vadd.vadd
0.000016    12024 add_action
0.000017    12025 has_vsub
0.000016    12026 add_action.to_has_vadd
0.000017    12027 has_vsub.vsub
0.000016    12028 add_torsor
0.000017    12029 add_torsor.nonempty
0.000016    12030 add_monoid.to_add_action._proof_1
0.000017    12031 add_monoid.to_add_action._proof_2
0.000017    12032 add_monoid.to_add_action
0.000016    12033 add_group_is_add_torsor._proof_1
0.000017    12034 add_group_is_add_torsor
0.000024    12035 asymptotics.is_o.equations._eqn_1
0.000018    12036 asymptotics.is_O_with_congr
0.000017    12037 asymptotics.is_O_with.congr'
0.000016    12038 asymptotics.is_O_with.congr
0.000017    12039 asymptotics.is_O_with.congr_const
0.000016    12040 asymptotics.is_O_with.trans
0.000015    12041 asymptotics.is_o.trans_is_O_with
0.000014    12042 asymptotics.is_O_with_iff
0.000016    12043 asymptotics.is_O_with.of_bound
0.000016    12044 asymptotics.is_O_with.bound
0.000017    12045 asymptotics.is_O_with.weaken
0.000016    12046 asymptotics.is_O_with.exists_pos
0.000017    12047 asymptotics.is_O_iff_is_O_with
0.000016    12048 asymptotics.is_O.is_O_with
0.000016    12049 asymptotics.is_O.exists_pos
0.000017    12050 asymptotics.is_o.trans_is_O
0.000017    12051 normed_ring.to_normed_group._proof_1
0.000016    12052 normed_ring.to_normed_group._proof_2
0.000017    12053 normed_ring.to_normed_group._proof_3
0.000016    12054 normed_ring.to_normed_group._proof_4
0.000017    12055 normed_ring.to_normed_group._proof_5
0.000016    12056 normed_ring.to_normed_group._proof_6
0.000017    12057 normed_ring.to_normed_group
0.000016    12058 asymptotics.is_O_with.is_O
0.000017    12059 norm_one_class
0.000016    12060 norm_one_class.norm_one
0.000017    12061 metric_space.eq_of_dist_eq_zero
0.000016    12062 eq_of_dist_eq_zero
0.000017    12063 dist_eq_zero
0.000016    12064 norm_eq_zero
0.000016    12065 normed_field.to_norm_one_class
0.000016    12066 asymptotics.is_O_with_const_const
0.000017    12067 asymptotics.is_O_with_const_one
0.000016    12068 asymptotics.is_O_const_one
0.000017    12069 asymptotics.is_O_const_const
0.000016    12070 asymptotics.is_o_const_iff_is_o_one
0.000016    12071 metric.closed_ball
0.000017    12072 metric.mk_uniformity_basis_le
0.000016    12073 metric.uniformity_basis_dist_le
0.000017    12074 metric.nhds_basis_closed_ball
0.000026    12075 metric.mem_closed_ball
0.000017    12076 asymptotics.is_o_const_iff
0.000015    12077 asymptotics.is_o_one_iff
0.000018    12078 asymptotics.is_O_with.trans_is_o
0.000017    12079 asymptotics.is_O.trans_is_o
0.000016    12080 asymptotics.is_O.trans_tendsto
0.000016    12081 asymptotics.is_O_congr
0.000017    12082 asymptotics.is_O.congr'
0.000016    12083 asymptotics.is_O.congr
0.000017    12084 asymptotics.is_O.congr_left
0.000016    12085 asymptotics.is_O_with.add
0.000017    12086 asymptotics.is_O.add
0.000016    12087 norm_neg
0.935433    12088 asymptotics.is_O_with_neg_left
0.000092    12089 asymptotics.is_O_neg_left
0.000021    12090 asymptotics.is_O.neg_left
0.000015    12091 asymptotics.is_O.sub
0.000014    12092 asymptotics.is_O.congr_of_sub
0.000014    12093 asymptotics.is_o_iff
0.000015    12094 asymptotics.is_o.def'
0.000014    12095 asymptotics.is_o.is_O_with
0.000014    12096 asymptotics.is_o.is_O
0.000018    12097 asymptotics.is_O_with.comp_tendsto
0.000017    12098 asymptotics.is_O.comp_tendsto
0.000016    12099 asymptotics.is_O_with_of_le'
0.000017    12100 asymptotics.is_O_of_le'
0.000017    12101 metric.tendsto_nhds_nhds
0.000016    12102 normed_group.tendsto_nhds_nhds
0.000015    12103 nondiscrete_normed_field.non_trivial
0.000014    12104 normed_field.exists_one_lt_norm
0.000017    12105 semi_normed_space
0.000027    12106 semi_normed_space.to_semimodule
0.000016    12107 fpow._main
0.000016    12108 fpow
0.000015    12109 int.has_pow
0.000014    12110 pow_unbounded_of_one_lt
0.000014    12111 int.of_nat_nonneg
0.000017    12112 fpow_neg_succ_of_nat
0.000017    12113 inv_le_one
0.000017    12114 one_le_pow_of_one_le
0.000017    12115 fpow_le_of_le
0.000017    12116 int.lt_succ
0.000017    12117 fpow_neg
0.000017    12118 le_inv
0.000017    12119 inv_lt
0.000018    12120 exists_int_pow_near
0.000016    12121 ne.le_iff_lt
0.000017    12122 dist_le_zero
0.000017    12123 dist_pos
0.000017    12124 norm_pos_iff
0.000016    12125 monoid_with_zero_hom.map_fpow
0.000017    12126 normed_field.norm_hom._proof_1
0.000016    12127 normed_field.norm_hom._proof_2
0.000018    12128 normed_field.norm_hom
0.000016    12129 normed_field.norm_fpow
0.000017    12130 semi_normed_space.norm_smul_le
0.000017    12131 smul_smul
0.000016    12132 units.inv_smul_smul
0.000017    12133 inv_smul_smul'
0.000017    12134 normed_field.norm_inv
0.000016    12135 norm_smul
0.000017    12136 fpow_zero
0.000015    12137 fpow_coe_nat
0.000014    12138 fpow_one
0.000014    12139 fpow_add_one
0.000017    12140 fpow_sub_one
0.000016    12141 fpow_add
0.000017    12142 fpow_pos_of_pos
0.000016    12143 rescale_to_shell_semi_normed
0.000017    12144 normed_space.norm_smul_le
0.000017    12145 normed_space.to_semi_normed_space
0.000016    12146 rescale_to_shell
0.000017    12147 linear_map.bound_of_shell
0.000016    12148 div_le_iff'
0.000016    12149 one_div_div
0.000017    12150 linear_map.bound_of_continuous
0.000016    12151 continuous_linear_map.cont
0.000017    12152 continuous_linear_map.bound
0.000016    12153 continuous_linear_map.is_O_id
0.000017    12154 continuous_linear_map.is_O_comp
0.000016    12155 continuous_linear_map.is_O_sub
0.000016    12156 has_fderiv_at_filter.is_O_sub
0.000017    12157 has_fderiv_at_filter.tendsto_nhds
0.000016    12158 has_fderiv_at.continuous_at
0.000016    12159 differentiable_at.continuous_at
0.000017    12160 differentiable.continuous
0.000016    12161 real.nondiscrete_normed_field._proof_1
0.000016    12162 real.nondiscrete_normed_field
0.000017    12163 normed_field.to_normed_space._proof_1
0.000016    12164 normed_field.to_normed_space
0.000016    12165 is_scalar_tower
0.000017    12166 has_continuous_smul
0.000016    12167 linear_map.smul_right._proof_1
0.000017    12168 is_scalar_tower.smul_assoc
0.000016    12169 smul_assoc
0.000016    12170 linear_map.smul_right._proof_2
0.000017    12171 linear_map.smul_right
0.000016    12172 continuous_linear_map.smul_right._proof_1
0.000017    12173 continuous_linear_map.smul_right._proof_2
0.000016    12174 has_continuous_smul.continuous_smul
0.000016    12175 continuous.smul
0.000017    12176 continuous_linear_map.smul_right._proof_3
0.000016    12177 continuous_linear_map.smul_right
0.000017    12178 is_scalar_tower.left
0.000016    12179 has_deriv_at_filter._proof_1
0.000017    12180 smul_neg
0.000016    12181 smul_sub
0.000016    12182 module
0.000017    12183 neg_smul
0.000016    12184 sub_smul
0.000016    12185 semi_normed_space.has_continuous_smul
0.000016    12186 has_deriv_at_filter._proof_2
0.000017    12187 linear_map.id._proof_1
0.000016    12188 linear_map.id._proof_2
0.000017    12189 linear_map.id
0.000016    12190 continuous_linear_map.id
0.000017    12191 continuous_linear_map.has_one
0.000016    12192 has_deriv_at_filter
0.000017    12193 has_deriv_at
0.000016    12194 has_fderiv_at.differentiable_at
0.000017    12195 has_deriv_at.differentiable_at
0.000016    12196 complex.sin
0.000016    12197 real.sin
0.000017    12198 normed_group.core
0.000016    12199 semi_normed_group.core
0.000016    12200 semi_normed_group.core.norm_zero
0.000017    12201 semi_normed_group.of_core._proof_1
0.000016    12202 semi_normed_group.core.norm_neg
0.000017    12203 semi_normed_group.of_core._proof_2
0.000016    12204 semi_normed_group.core.triangle
0.000017    12205 semi_normed_group.of_core._proof_3
0.000017    12206 semi_normed_group.of_core._proof_4
0.000016    12207 semi_normed_group.of_core._proof_5
0.000016    12208 semi_normed_group.of_core._proof_6
0.000017    12209 semi_normed_group.of_core._proof_7
0.000016    12210 semi_normed_group.of_core._proof_8
0.000017    12211 semi_normed_group.of_core._proof_9
0.000016    12212 semi_normed_group.of_core
0.000017    12213 normed_group.core.norm_eq_zero_iff
0.450410    12214 normed_group.core.triangle
0.000098    12215 normed_group.core.norm_neg
0.000028    12216 normed_group.core.to_semi_normed_group.core
0.000028    12217 normed_group.of_core._proof_1
0.000033    12218 normed_group.of_core._proof_2
0.000030    12219 normed_group.of_core
0.000030    12220 complex.has_norm
0.000028    12221 complex.abs_neg
0.000029    12222 complex.normed_group._proof_1
0.000028    12223 complex.normed_group
0.000028    12224 complex.normed_field._proof_1
0.000027    12225 complex.normed_field
0.000027    12226 complex.of_real_bit0
0.000028    12227 complex.abs_two
0.000027    12228 complex.nondiscrete_normed_field._proof_1
0.000027    12229 complex.nondiscrete_normed_field
0.000027    12230 complex.has_scalar
0.000024    12231 complex.smul_re
0.000024    12232 complex.smul_im
0.000026    12233 complex.mul_action._proof_1
0.000027    12234 complex.mul_action._proof_2
0.000027    12235 complex.mul_action
0.000028    12236 complex.distrib_mul_action._proof_1
0.000027    12237 complex.distrib_mul_action._proof_2
0.000031    12238 complex.distrib_mul_action
0.000029    12239 complex.semimodule._proof_1
0.000028    12240 complex.semimodule._proof_2
0.000029    12241 complex.semimodule
0.000028    12242 linear_isometry
0.000031    12243 linear_isometry.to_linear_map
0.000027    12244 linear_isometry.has_coe_to_fun
0.000026    12245 isometry
0.000027    12246 lipschitz_with.continuous
0.000027    12247 isometry.lipschitz
0.000027    12248 isometry.continuous
0.000028    12249 ennreal.to_real_of_real
0.000027    12250 dist_edist
0.000027    12251 isometry_emetric_iff_metric
0.000027    12252 add_monoid_hom.map_add_neg
0.000027    12253 add_monoid_hom.map_sub
0.000027    12254 add_monoid_hom.isometry_iff_norm
0.000027    12255 add_monoid_hom.isometry_of_norm
0.000027    12256 linear_map.to_add_monoid_hom
0.000027    12257 linear_isometry.norm_map'
0.000027    12258 linear_isometry.norm_map
0.000027    12259 linear_isometry.isometry
0.000027    12260 linear_isometry.continuous
0.000028    12261 linear_isometry.to_continuous_linear_map
0.000027    12262 algebra
0.000027    12263 algebra.to_has_scalar
0.000027    12264 algebra.to_ring_hom
0.000027    12265 algebra_map
0.000027    12266 algebra.smul_def'
0.000027    12267 algebra.smul_def''
0.000027    12268 algebra.to_semimodule._proof_1
0.000027    12269 algebra.to_semimodule._proof_2
0.000027    12270 algebra.to_semimodule._proof_3
0.000027    12271 algebra.to_semimodule._proof_4
0.000027    12272 algebra.to_semimodule._proof_5
0.000027    12273 algebra.to_semimodule._proof_6
0.000027    12274 algebra.to_semimodule
0.000026    12275 ring_hom.to_algebra'._proof_1
0.000027    12276 ring_hom.to_algebra'
0.000027    12277 ring_hom.to_algebra._proof_1
0.000027    12278 ring_hom.to_algebra
0.000031    12279 algebra.id
0.000028    12280 algebra.smul_def
0.000029    12281 algebra.id.map_eq_self
0.000027    12282 complex.algebra._proof_1
0.000028    12283 complex.algebra._proof_2
0.000032    12284 complex.algebra._proof_3
0.000027    12285 complex.algebra._proof_4
0.000027    12286 ring_hom.to_fun_eq_coe
0.000027    12287 ring_hom.coe_comp
0.000026    12288 complex.of_real_eq_coe
0.000028    12289 algebra.commutes'
0.000027    12290 algebra.commutes
0.000026    12291 complex.algebra._match_1
0.000027    12292 complex.algebra._proof_5
0.000027    12293 complex.algebra._proof_6
0.000026    12294 complex.algebra
0.000028    12295 complex.coe_algebra_map
0.000026    12296 complex.of_real_inj
0.000027    12297 complex.of_real_eq_zero
0.000027    12298 complex.of_real_lm._proof_1
0.000027    12299 complex.of_real_lm
0.000027    12300 complex.of_real_lm_coe
0.000027    12301 complex.norm_real
0.000028    12302 complex.of_real_li._proof_1
0.000026    12303 complex.of_real_li
0.000027    12304 complex.of_real_clm
0.000027    12305 continuous_linear_map.comp._proof_1
0.000028    12306 continuous_linear_map.comp
0.000026    12307 semi_normed_comm_ring.to_comm_ring._proof_1
0.000027    12308 semi_normed_comm_ring.to_comm_ring._proof_2
0.000027    12309 semi_normed_comm_ring.to_comm_ring._proof_3
0.000028    12310 semi_normed_comm_ring.to_comm_ring._proof_4
0.000026    12311 semi_normed_comm_ring.to_comm_ring._proof_5
0.000028    12312 semi_normed_comm_ring.to_comm_ring._proof_6
0.000027    12313 semi_normed_comm_ring.to_comm_ring._proof_7
0.000027    12314 semi_normed_comm_ring.to_comm_ring._proof_8
0.000027    12315 semi_normed_comm_ring.to_comm_ring._proof_9
0.000027    12316 semi_normed_comm_ring.to_comm_ring._proof_10
0.000028    12317 semi_normed_comm_ring.to_comm_ring._proof_11
0.000027    12318 semi_normed_comm_ring.mul_comm
0.000027    12319 semi_normed_comm_ring.to_comm_ring
0.000027    12320 normed_algebra
0.000027    12321 normed_ring.to_semi_normed_ring
0.000027    12322 semi_normed_algebra
0.000026    12323 semi_normed_algebra.to_algebra
0.000028    12324 semi_normed_algebra.norm_algebra_map_eq
0.000027    12325 norm_algebra_map_eq
0.000027    12326 semi_normed_algebra.to_semi_normed_space._proof_1
0.000027    12327 semi_normed_algebra.to_semi_normed_space
0.441943    12328 normed_algebra.to_algebra
0.000096    12329 normed_algebra.norm_algebra_map_eq
0.000026    12330 normed_algebra.to_semi_normed_algebra
0.000024    12331 normed_algebra.to_normed_space._proof_1
0.000028    12332 normed_algebra.to_normed_space
0.000028    12333 complex.normed_algebra._proof_1
0.000025    12334 complex.normed_algebra
0.000020    12335 normed_algebra.id._proof_1
0.000013    12336 normed_algebra.id._proof_2
0.000014    12337 normed_algebra.id._proof_3
0.000013    12338 normed_algebra.id
0.000014    12339 lipschitz_with.equations._eqn_1
0.000014    12340 dist_nndist
0.000013    12341 lipschitz_with_iff_dist_le_mul
0.000014    12342 lipschitz_with.of_dist_le_mul
0.000013    12343 nnreal.le_coe_of_real
0.000014    12344 lipschitz_with.of_dist_le'
0.000014    12345 linear_map.map_sub
0.000013    12346 linear_map.lipschitz_of_bound
0.000014    12347 linear_map.continuous_of_bound
0.000013    12348 linear_map.mk_continuous
0.000014    12349 complex.smul_coe
0.000013    12350 complex.re_lm._proof_1
0.000013    12351 complex.re_lm
0.000014    12352 complex.re_lm_coe
0.000013    12353 real.norm_eq_abs
0.000014    12354 complex.norm_eq_abs
0.000013    12355 complex.re_clm._proof_1
0.000014    12356 complex.re_clm
0.000013    12357 linear_map.compatible_smul
0.000014    12358 linear_map.compatible_smul.map_smul
0.000014    12359 linear_map.map_smul_of_tower
0.000013    12360 linear_map.restrict_scalars._proof_1
0.000014    12361 linear_map.restrict_scalars
0.000013    12362 continuous_linear_map.continuous
0.000014    12363 continuous_linear_map.restrict_scalars._proof_1
0.000013    12364 continuous_linear_map.restrict_scalars
0.000014    12365 smul_one_smul
0.000013    12366 linear_map.compatible_smul.is_scalar_tower._proof_1
0.000014    12367 linear_map.compatible_smul.is_scalar_tower
0.000013    12368 restrict_scalars
0.000014    12369 restrict_scalars.add_comm_monoid
0.000013    12370 mul_action_with_zero.comp_hom._proof_1
0.000014    12371 mul_action_with_zero.comp_hom._proof_2
0.000014    12372 zero_hom
0.000013    12373 zero_hom.to_fun
0.000014    12374 zero_hom.has_coe_to_fun
0.000014    12375 smul_with_zero.smul_zero
0.000013    12376 smul_zero'
0.000013    12377 smul_with_zero.comp_hom._proof_1
0.000014    12378 zero_hom.map_zero'
0.000014    12379 zero_hom.map_zero
0.000013    12380 smul_with_zero.comp_hom._proof_2
0.000014    12381 smul_with_zero.comp_hom
0.000013    12382 monoid_with_zero_hom.to_zero_hom
0.000014    12383 mul_action_with_zero.comp_hom._proof_3
0.000013    12384 mul_action_with_zero.comp_hom._proof_4
0.000014    12385 mul_action_with_zero.comp_hom
0.000014    12386 semimodule.comp_hom._proof_1
0.000013    12387 semimodule.comp_hom._proof_2
0.000013    12388 mul_action.comp_hom._proof_1
0.000014    12389 mul_action.comp_hom._proof_2
0.000014    12390 mul_action.comp_hom
0.000013    12391 distrib_mul_action.comp_hom._proof_1
0.000014    12392 distrib_mul_action.comp_hom._proof_2
0.000013    12393 distrib_mul_action.comp_hom._proof_3
0.000014    12394 distrib_mul_action.comp_hom._proof_4
0.000013    12395 distrib_mul_action.comp_hom
0.000014    12396 semimodule.comp_hom._proof_3
0.000013    12397 semimodule.comp_hom._proof_4
0.000013    12398 semimodule.comp_hom._proof_5
0.000014    12399 semimodule.comp_hom._proof_6
0.000014    12400 semimodule.comp_hom
0.000013    12401 restrict_scalars.module_orig
0.000014    12402 restrict_scalars.semimodule
0.000013    12403 module.complex_to_real
0.000014    12404 restrict_scalars.is_scalar_tower
0.000014    12405 module.real_complex_tower
0.000013    12406 complex.of_real_clm_apply
0.000014    12407 continuous_linear_map.coe_comp'
0.000013    12408 continuous_linear_map.coe_restrict_scalars'
0.000014    12409 continuous_linear_map.smul_right_apply
0.000014    12410 continuous_linear_map.one_apply
0.000013    12411 complex.re_clm_apply
0.000014    12412 has_deriv_at_filter.equations._eqn_1
0.000013    12413 continuous_linear_map.cases_on
0.000014    12414 continuous_linear_map.coe_injective
0.000013    12415 continuous_linear_map.coe_inj
0.000014    12416 linear_map.cases_on
0.000013    12417 linear_map.coe_injective
0.000014    12418 linear_map.ext
0.000014    12419 smul_eq_mul
0.000013    12420 linear_map.ext_ring
0.000014    12421 continuous_linear_map.ext_ring
0.000013    12422 continuous_linear_map.map_smul_of_tower
0.000017    12423 continuous_linear_map.smul_right_one_one
0.000015    12424 has_fderiv_at_filter_iff_has_deriv_at_filter
0.000013    12425 has_fderiv_at_iff_has_deriv_at
0.000014    12426 has_fderiv_at.has_deriv_at
0.000013    12427 asymptotics.is_o_iff_forall_is_O_with
0.000014    12428 asymptotics.is_o.of_is_O_with
0.000014    12429 asymptotics.is_o.forall_is_O_with
0.000013    12430 asymptotics.is_o.comp_tendsto
0.000014    12431 filter.tendsto_map
0.000013    12432 asymptotics.is_o_congr
0.000014    12433 asymptotics.is_o.congr'
0.000013    12434 asymptotics.is_o.congr
0.000014    12435 asymptotics.is_o.congr_left
0.000013    12436 asymptotics.is_o.add
0.000014    12437 asymptotics.is_o.triangle
0.440627    12438 continuous_linear_map.map_sub
0.000096    12439 has_fderiv_at_filter.comp
0.000027    12440 asymptotics.is_O_with.mono
0.000029    12441 asymptotics.is_o.mono
0.000031    12442 has_fderiv_at_filter.mono
0.000029    12443 has_fderiv_at.comp
0.000029    12444 asymptotics.is_o.of_bound
0.000029    12445 asymptotics.is_o_zero
0.000029    12446 continuous_linear_map.has_fderiv_at_filter
0.000027    12447 continuous_linear_map.has_fderiv_at
0.000028    12448 has_fderiv_at.restrict_scalars
0.000027    12449 has_deriv_at_iff_has_fderiv_at
0.000032    12450 has_deriv_at.has_fderiv_at
0.000028    12451 has_deriv_at.real_of_complex
0.000039    12452 has_strict_fderiv_at
0.000031    12453 has_strict_deriv_at._proof_1
0.000028    12454 has_strict_deriv_at._proof_2
0.000029    12455 has_strict_deriv_at
0.000032    12456 has_fderiv_at.equations._eqn_1
0.000027    12457 has_fderiv_at_filter.equations._eqn_1
0.000027    12458 has_strict_fderiv_at.has_fderiv_at
0.000027    12459 has_strict_deriv_at.has_deriv_at
0.000027    12460 complex.sin.equations._eqn_1
0.000027    12461 linear_map.has_add._proof_1
0.000027    12462 linear_map.has_add._proof_2
0.000027    12463 linear_map.has_add
0.000027    12464 continuous_linear_map.has_add._proof_1
0.000027    12465 continuous_linear_map.has_add
0.000031    12466 smul_comm_class
0.000029    12467 linear_map.has_scalar._proof_1
0.000028    12468 smul_comm_class.smul_comm
0.000028    12469 linear_map.has_scalar._proof_2
0.000028    12470 linear_map.has_scalar
0.000031    12471 continuous_linear_map.has_scalar._proof_1
0.000027    12472 continuous_linear_map.has_scalar
0.000027    12473 algebra_compatible_smul
0.000027    12474 is_scalar_tower.to_smul_comm_class
0.000028    12475 continuous_linear_map.add_apply
0.000026    12476 smul_comm_class_self
0.000027    12477 continuous_linear_map.coe_smul'
0.000027    12478 has_strict_fderiv_at.equations._eqn_1
0.000027    12479 has_strict_deriv_at.equations._eqn_1
0.000028    12480 has_strict_fderiv_at_iff_has_strict_deriv_at
0.000027    12481 has_strict_fderiv_at.has_strict_deriv_at
0.000027    12482 continuous_at.prod
0.000027    12483 continuous_at.comp
0.000027    12484 continuous_at.prod_map
0.000032    12485 continuous_at.prod_map'
0.000028    12486 has_strict_fderiv_at.continuous_at
0.000028    12487 has_strict_fderiv_at.is_O_sub
0.000028    12488 has_strict_fderiv_at.comp
0.000029    12489 prod.has_add
0.000031    12490 prod.add_semigroup._proof_1
0.000027    12491 prod.add_semigroup
0.000027    12492 prod.add_comm_semigroup._proof_1
0.000027    12493 prod.add_comm_semigroup._proof_2
0.000027    12494 prod.add_comm_semigroup
0.000027    12495 prod.add_comm_group._proof_1
0.000027    12496 prod.add_monoid._proof_1
0.000027    12497 prod.has_zero
0.000027    12498 prod.rec_on
0.000024    12499 prod.add_zero_class._proof_1
0.000023    12500 prod.add_zero_class._proof_2
0.000026    12501 prod.add_zero_class
0.000028    12502 prod.add_monoid._proof_2
0.000027    12503 prod.add_monoid._proof_3
0.000027    12504 prod.add_monoid
0.000026    12505 prod.add_group._proof_1
0.000027    12506 prod.add_group._proof_2
0.000027    12507 prod.add_group._proof_3
0.000027    12508 prod.has_neg
0.000027    12509 prod.has_sub
0.000027    12510 prod.add_group._proof_4
0.000030    12511 prod.add_group._proof_5
0.000028    12512 prod.add_group
0.000028    12513 prod.add_comm_group._proof_2
0.000028    12514 prod.add_comm_group._proof_3
0.000028    12515 prod.add_comm_group._proof_4
0.000028    12516 prod.add_comm_group._proof_5
0.000031    12517 prod.add_comm_group._proof_6
0.000026    12518 prod.add_comm_group
0.000028    12519 prod.fst_sub
0.000027    12520 prod.snd_sub
0.000027    12521 prod.semi_normed_group._proof_1
0.000026    12522 prod.semi_normed_group
0.000027    12523 prod.metric_space_max._proof_1
0.000027    12524 prod.metric_space_max._proof_2
0.000026    12525 prod.metric_space_max._proof_3
0.000027    12526 prod.metric_space_max._proof_4
0.000027    12527 prod.metric_space_max._proof_5
0.000027    12528 prod.metric_space_max._proof_6
0.000027    12529 prod.metric_space_max
0.000026    12530 prod.normed_group._proof_1
0.000027    12531 prod.normed_group
0.000027    12532 prod.add_comm_monoid._proof_1
0.000027    12533 prod.add_comm_monoid._proof_2
0.000027    12534 prod.add_comm_monoid._proof_3
0.000027    12535 prod.add_comm_monoid._proof_4
0.000027    12536 prod.add_comm_monoid
0.000027    12537 prod.has_scalar
0.000027    12538 prod.mul_action._match_1
0.000027    12539 prod.mul_action._proof_1
0.000027    12540 prod.mul_action._proof_2
0.000027    12541 prod.mul_action
0.000027    12542 prod.distrib_mul_action._proof_1
0.000027    12543 prod.distrib_mul_action._proof_2
0.000026    12544 prod.distrib_mul_action
0.000027    12545 prod.semimodule._proof_1
0.000027    12546 prod.semimodule._proof_2
0.000027    12547 prod.semimodule._proof_3
0.000026    12548 prod.semimodule._match_1
0.000027    12549 prod.semimodule._proof_4
0.000027    12550 prod.semimodule
0.000027    12551 prod.semi_normed_space._proof_1
0.000027    12552 prod.semi_normed_space._proof_2
0.566670    12553 prod.semi_norm_def
0.000100    12554 prod.smul_fst
0.000026    12555 prod.smul_snd
0.000023    12556 monotone_mul_left_of_nonneg
0.000027    12557 mul_max_of_nonneg
0.000028    12558 prod.semi_normed_space._proof_3
0.000028    12559 prod.semi_normed_space
0.000028    12560 prod.normed_space._proof_1
0.000028    12561 prod.normed_space
0.000029    12562 prod.mk_add_mk
0.000028    12563 linear_map.prod._proof_1
0.000027    12564 prod.smul_mk
0.000028    12565 linear_map.prod._proof_2
0.000027    12566 linear_map.prod
0.000027    12567 continuous_linear_map.prod._proof_1
0.000027    12568 continuous_linear_map.prod
0.000027    12569 is_bounded_bilinear_map
0.000027    12570 linear_map.mk_continuous_of_exists_bound._match_1
0.000027    12571 linear_map.mk_continuous_of_exists_bound
0.000027    12572 is_bounded_bilinear_map.add_right
0.000027    12573 is_bounded_bilinear_map.add_left
0.000027    12574 is_bounded_bilinear_map.linear_deriv._proof_1
0.000026    12575 is_bounded_bilinear_map.smul_right
0.000027    12576 is_bounded_bilinear_map.smul_left
0.000027    12577 is_bounded_bilinear_map.linear_deriv._proof_2
0.000027    12578 is_bounded_bilinear_map.linear_deriv
0.000026    12579 is_bounded_bilinear_map.bound
0.000028    12580 is_bounded_bilinear_map.deriv._proof_1
0.000027    12581 is_bounded_bilinear_map.deriv
0.000027    12582 smul_comm_class.symm
0.000027    12583 is_scalar_tower.to_smul_comm_class'
0.000028    12584 smul_algebra_smul_comm
0.000027    12585 is_bounded_bilinear_map_smul
0.000026    12586 asymptotics.is_o_neg_left
0.000027    12587 asymptotics.is_o.neg_left
0.000028    12588 asymptotics.is_o.sub
0.000027    12589 asymptotics.is_o.congr_of_sub
0.000026    12590 prod.mk_sub_mk
0.000027    12591 is_bounded_bilinear_map.map_sub_right
0.000024    12592 is_bounded_bilinear_map.map_sub_left
0.000022    12593 is_bounded_bilinear_map_deriv_coe
0.000027    12594 metric_space.induced._proof_1
0.000027    12595 metric_space.induced._proof_2
0.000027    12596 metric_space.induced._proof_3
0.000027    12597 metric_space.induced._proof_4
0.000027    12598 metric_space.induced._proof_5
0.000027    12599 metric_space.induced._proof_6
0.000028    12600 metric_space.induced
0.000027    12601 int.cast_eq_zero
0.000027    12602 int.cast_inj
0.000028    12603 int.cast_injective
0.000027    12604 int.metric_space._proof_1
0.000027    12605 emetric_space.to_uniform_space'
0.000027    12606 metric.metric_space.to_emetric_space._proof_1
0.000027    12607 metric.metric_space.to_emetric_space._proof_2
0.000028    12608 metric.metric_space.to_emetric_space._proof_3
0.000027    12609 metric.metric_space.to_emetric_space._proof_4
0.000027    12610 ennreal.of_real_eq_zero
0.000027    12611 metric.metric_space.to_emetric_space._proof_5
0.000027    12612 metric.metric_space.to_emetric_space
0.000028    12613 metric_space.replace_uniformity._proof_1
0.000026    12614 metric_space.replace_uniformity._proof_2
0.000027    12615 metric_space.replace_uniformity._proof_3
0.000027    12616 metric_space.replace_uniformity._proof_4
0.000027    12617 metric_space.replace_uniformity._proof_5
0.000027    12618 metric_space.replace_uniformity
0.000027    12619 int.uniform_space
0.000027    12620 int.cast_mono
0.000028    12621 int.cast_max
0.000027    12622 int.cast_abs
0.000027    12623 int.lt_add_one_iff
0.000027    12624 int.coe_nat_one
0.000027    12625 strict_mono_of_le_iff_le
0.000027    12626 int.cast_strict_mono
0.000027    12627 int.cast_lt
0.000026    12628 int.metric_space._proof_2
0.000027    12629 int.metric_space
0.000028    12630 int.dist_eq
0.000027    12631 int.normed_comm_ring._proof_1
0.000026    12632 int.normed_comm_ring._proof_2
0.000027    12633 int.normed_comm_ring
0.000028    12634 continuous_linear_map.add_comm_group._proof_1
0.000027    12635 function.injective.comp
0.000026    12636 continuous_linear_map.coe_fn_injective
0.000027    12637 continuous_linear_map.ext
0.000027    12638 continuous_linear_map.add_comm_group._proof_2
0.000027    12639 linear_map.has_zero._proof_1
0.000027    12640 linear_map.has_zero._proof_2
0.000027    12641 linear_map.has_zero
0.000027    12642 continuous_linear_map.has_zero._proof_1
0.000027    12643 continuous_linear_map.has_zero
0.000027    12644 continuous_linear_map.add_comm_group._proof_3
0.000027    12645 continuous_linear_map.add_comm_group._proof_4
0.000040    12646 linear_map.has_neg._proof_1
0.000028    12647 linear_map.has_neg._proof_2
0.000028    12648 linear_map.has_neg
0.000028    12649 continuous_linear_map.has_neg._proof_1
0.000026    12650 continuous_linear_map.has_neg
0.000027    12651 linear_map.has_sub._proof_1
0.000027    12652 linear_map.has_sub._proof_2
0.000027    12653 linear_map.has_sub
0.000028    12654 continuous.sub
0.000026    12655 continuous_linear_map.has_sub._proof_1
0.000027    12656 continuous_linear_map.has_sub
0.000027    12657 continuous_linear_map.add_comm_group._proof_5
0.000027    12658 continuous_linear_map.add_comm_group._proof_6
0.425550    12659 continuous_linear_map.add_comm_group._proof_7
0.000095    12660 continuous_linear_map.add_comm_group
0.000028    12661 continuous_linear_map.to_normed_group._proof_1
0.000022    12662 continuous_linear_map.op_norm
0.000027    12663 continuous_linear_map.has_op_norm
0.000029    12664 norm_le_zero_iff
0.000028    12665 continuous_linear_map.map_zero
0.000029    12666 continuous_linear_map.bounds_nonempty
0.000030    12667 continuous_linear_map.bounds_bdd_below
0.000028    12668 continuous_linear_map.le_op_norm
0.000027    12669 continuous_linear_map.op_norm_nonneg
0.000028    12670 continuous_linear_map.op_norm_zero_iff
0.000027    12671 continuous_linear_map.op_norm_le_bound
0.000027    12672 lipschitz_with.dist_le_mul
0.000027    12673 continuous_linear_map.op_norm_le_of_lipschitz
0.000028    12674 continuous_linear_map.lipschitz
0.000027    12675 continuous_linear_map.op_norm_add_le
0.000023    12676 continuous_linear_map.norm_def
0.000024    12677 continuous_linear_map.neg_apply
0.000026    12678 continuous_linear_map.op_norm_neg
0.000027    12679 continuous_linear_map.to_normed_group._proof_2
0.000027    12680 continuous_linear_map.to_normed_group
0.000027    12681 asymptotics.is_O_iff
0.000027    12682 asymptotics.is_O.of_bound
0.000027    12683 is_bounded_bilinear_map.is_O
0.000027    12684 is_bounded_bilinear_map.is_O_comp
0.000027    12685 continuous_linear_map.add_comm_monoid._proof_1
0.000027    12686 continuous_linear_map.add_comm_monoid._proof_2
0.000027    12687 continuous_linear_map.add_comm_monoid._proof_3
0.000027    12688 continuous_linear_map.add_comm_monoid._proof_4
0.000026    12689 continuous_linear_map.add_comm_monoid
0.000027    12690 continuous_linear_map.semimodule._proof_1
0.000027    12691 continuous_linear_map.semimodule._proof_2
0.000027    12692 continuous_linear_map.semimodule._proof_3
0.000027    12693 continuous_linear_map.semimodule._proof_4
0.000027    12694 continuous_linear_map.semimodule._proof_5
0.000030    12695 continuous_linear_map.semimodule._proof_6
0.000029    12696 continuous_linear_map.semimodule
0.000028    12697 continuous_linear_map.to_normed_space._proof_1
0.000028    12698 continuous_linear_map.to_normed_space._proof_2
0.000028    12699 continuous_linear_map.op_norm_smul_le
0.000028    12700 continuous_linear_map.to_normed_space
0.000030    12701 continuous_linear_map.inhabited
0.000028    12702 continuous_linear_map.map_add
0.000026    12703 continuous_linear_map.map_smul
0.000027    12704 is_bounded_bilinear_map_apply
0.000027    12705 asymptotics.is_O_with.mul
0.000027    12706 asymptotics.is_o.mul_is_O
0.000027    12707 asymptotics.is_o_norm_left
0.000027    12708 asymptotics.is_o.norm_left
0.000027    12709 normed_linear_ordered_field
0.000028    12710 normed_linear_ordered_field.to_has_norm
0.000027    12711 real.normed_linear_ordered_field._proof_1
0.000027    12712 real.normed_linear_ordered_field
0.000027    12713 is_linear_map
0.000027    12714 is_bounded_linear_map
0.000028    12715 is_bounded_linear_map.bound
0.000026    12716 is_bounded_linear_map.is_O_id
0.000028    12717 is_linear_map.with_bound
0.000027    12718 continuous_linear_map.inl
0.000027    12719 continuous_linear_map.inr
0.000027    12720 linear_map.inl
0.000027    12721 linear_map.inr
0.000027    12722 linear_equiv
0.000027    12723 linear_map.add_apply
0.000026    12724 linear_map.add_comm_monoid._proof_1
0.000028    12725 linear_map.zero_apply
0.000027    12726 linear_map.add_comm_monoid._proof_2
0.000027    12727 linear_map.add_comm_monoid._proof_3
0.000026    12728 linear_map.add_comm_monoid._proof_4
0.000028    12729 linear_map.add_comm_monoid
0.000027    12730 linear_map.distrib_mul_action._proof_1
0.000027    12731 linear_map.distrib_mul_action._proof_2
0.000027    12732 linear_map.distrib_mul_action._proof_3
0.000026    12733 linear_map.distrib_mul_action._proof_4
0.000088    12734 linear_map.distrib_mul_action
0.000029    12735 linear_map.semimodule._proof_1
0.000027    12736 linear_map.semimodule._proof_2
0.000028    12737 linear_map.semimodule
0.000027    12738 add_comm_monoid.nat_semimodule._proof_1
0.000027    12739 mul_nsmul
0.000027    12740 add_comm_monoid.nat_semimodule._proof_2
0.000027    12741 nsmul_add
0.000027    12742 add_comm_monoid.nat_semimodule._proof_3
0.000027    12743 nsmul_zero
0.000027    12744 add_comm_monoid.nat_semimodule._proof_4
0.000027    12745 add_comm_monoid.nat_semimodule._proof_5
0.000026    12746 add_comm_monoid.nat_semimodule._proof_6
0.000027    12747 add_comm_monoid.nat_semimodule
0.000027    12748 add_comm_monoid.nat_smul_comm_class
0.000028    12749 add_comm_monoid.nat_smul_comm_class'
0.000027    12750 linear_equiv.to_fun
0.000027    12751 linear_equiv.has_coe_to_fun
0.000027    12752 linear_map.inverse._proof_1
0.000027    12753 linear_map.inverse._proof_2
0.000027    12754 linear_map.inverse
0.000028    12755 linear_equiv.map_add'
0.000032    12756 linear_equiv.map_smul'
0.000027    12757 linear_equiv.to_linear_map
0.863030    12758 linear_equiv.inv_fun
0.000097    12759 linear_equiv.left_inv
0.000028    12760 linear_equiv.right_inv
0.000030    12761 linear_equiv.symm._proof_1
0.000029    12762 linear_equiv.symm._proof_2
0.000029    12763 linear_equiv.to_add_equiv
0.000030    12764 linear_equiv.to_equiv
0.000080    12765 linear_equiv.symm._proof_3
0.000034    12766 linear_equiv.symm._proof_4
0.000029    12767 linear_equiv.symm
0.000029    12768 linear_map.fst._proof_1
0.000027    12769 linear_map.fst._proof_2
0.000027    12770 linear_map.fst
0.000027    12771 linear_map.snd._proof_1
0.000027    12772 linear_map.snd._proof_2
0.000027    12773 linear_map.snd
0.000027    12774 linear_map.coprod
0.000027    12775 prod.fst_add
0.000026    12776 prod.snd_add
0.000027    12777 linear_map.coprod_apply
0.000027    12778 linear_map.coprod_equiv._proof_1
0.000027    12779 linear_map.smul_apply
0.000027    12780 linear_map.coprod_equiv._proof_2
0.000027    12781 linear_map.comp_apply
0.000027    12782 linear_map.inl_apply
0.000028    12783 linear_map.coprod_inl
0.000027    12784 linear_map.inr_apply
0.000027    12785 linear_map.coprod_inr
0.000027    12786 linear_map.coprod_equiv._proof_3
0.000027    12787 linear_map.comp_coprod
0.000027    12788 linear_map.id_apply
0.000027    12789 linear_map.coprod_inl_inr
0.000027    12790 linear_map.comp_id
0.000027    12791 linear_map.coprod_equiv._proof_4
0.000027    12792 linear_map.coprod_equiv
0.000027    12793 linear_equiv.injective
0.000027    12794 linear_map.prod_ext_iff
0.000027    12795 continuous_linear_map.prod_ext_iff
0.000027    12796 continuous_linear_map.prod_ext
0.000027    12797 continuous_linear_map.inl_apply
0.000027    12798 continuous_linear_map.add_comp
0.000027    12799 continuous_linear_map.inr_apply
0.000027    12800 continuous_linear_map.smul_comp
0.000028    12801 is_bounded_bilinear_map.is_bounded_linear_map_deriv
0.000027    12802 prod.has_continuous_add
0.000027    12803 continuous.prod_map
0.000027    12804 prod.topological_add_group
0.000027    12805 asymptotics.is_O_with_of_le
0.000026    12806 asymptotics.is_O_with_refl
0.000028    12807 asymptotics.is_O_refl
0.000027    12808 asymptotics.is_O.of_norm_right
0.000027    12809 asymptotics.is_O_with_const_mul_self
0.000027    12810 asymptotics.is_O_const_mul_self
0.000027    12811 asymptotics.is_o_norm_right
0.000027    12812 asymptotics.is_O_with.exists_nonneg
0.000026    12813 asymptotics.is_O.exists_nonneg
0.000027    12814 asymptotics.is_O.trans
0.000027    12815 asymptotics.is_O.mul
0.000027    12816 asymptotics.is_O.norm_norm
0.000027    12817 asymptotics.is_O_with_fst_prod
0.000027    12818 asymptotics.is_O_fst_prod
0.000027    12819 asymptotics.is_O_fst_prod'
0.000027    12820 asymptotics.is_O_with_snd_prod
0.000026    12821 asymptotics.is_O_snd_prod
0.000028    12822 asymptotics.is_O_snd_prod'
0.000026    12823 is_bounded_bilinear_map.is_O'
0.000027    12824 asymptotics.is_O.mul_is_o
0.000028    12825 is_bounded_bilinear_map.has_strict_fderiv_at
0.000026    12826 asymptotics.is_O_with.prod_left_same
0.000027    12827 asymptotics.is_o.prod_left
0.000027    12828 has_strict_fderiv_at.prod
0.000026    12829 has_strict_fderiv_at.smul
0.000027    12830 has_strict_deriv_at.smul
0.000027    12831 has_strict_deriv_at.mul
0.000027    12832 continuous_linear_map.zero_apply
0.000026    12833 has_strict_fderiv_at_const
0.000027    12834 has_strict_deriv_at_const
0.000028    12835 has_strict_deriv_at.mul_const
0.000027    12836 has_strict_fderiv_at.add
0.000026    12837 has_strict_deriv_at.add
0.000027    12838 has_strict_deriv_at.scomp
0.000027    12839 has_strict_deriv_at.comp
0.000028    12840 is_R_or_C
0.000027    12841 is_R_or_C.to_nondiscrete_normed_field
0.000026    12842 multilinear_map
0.000027    12843 Pi.topological_space
0.000027    12844 multilinear_map.to_fun
0.000027    12845 continuous_multilinear_map
0.000026    12846 formal_multilinear_series
0.000027    12847 continuous_multilinear_map.to_multilinear_map
0.000027    12848 continuous_multilinear_map.has_coe_to_fun
0.000027    12849 continuous_multilinear_map.uncurry0
0.000024    12850 has_fderiv_within_at
0.000023    12851 function.injective.add_comm_group._proof_1
0.000027    12852 function.injective.add_comm_group._proof_2
0.000027    12853 function.injective.add_comm_group._proof_3
0.000031    12854 function.injective.sub_neg_add_monoid._proof_1
0.000029    12855 function.injective.sub_neg_add_monoid._proof_2
0.000028    12856 function.injective.sub_neg_add_monoid._proof_3
0.000028    12857 function.injective.sub_neg_add_monoid._proof_4
0.000028    12858 function.injective.sub_neg_add_monoid
0.000031    12859 function.injective.add_group._proof_1
0.000027    12860 function.injective.add_group._proof_2
0.000027    12861 function.injective.add_group._proof_3
0.000026    12862 function.injective.add_group._proof_4
0.000027    12863 function.injective.add_group._proof_5
0.000027    12864 function.injective.add_group
0.000027    12865 function.injective.add_comm_group._proof_4
0.000027    12866 function.injective.add_comm_group._proof_5
0.348861    12867 function.injective.add_comm_group._proof_6
0.000092    12868 function.injective.add_comm_group
0.000027    12869 multilinear_map.has_coe_to_fun
0.000027    12870 multilinear_map.map_add'
0.000028    12871 multilinear_map.map_add
0.000029    12872 multilinear_map.has_add._proof_1
0.000029    12873 multilinear_map.map_smul'
0.000028    12874 multilinear_map.map_smul
0.000030    12875 multilinear_map.has_add._proof_2
0.000027    12876 multilinear_map.has_add
0.000027    12877 continuous_multilinear_map.cont
0.000161    12878 continuous_multilinear_map.has_add._proof_1
0.000029    12879 continuous_multilinear_map.has_add
0.000031    12880 continuous_multilinear_map.add_comm_group._proof_1
0.000027    12881 multilinear_map.has_zero._proof_1
0.000027    12882 multilinear_map.has_zero._proof_2
0.000027    12883 multilinear_map.has_zero
0.000027    12884 continuous_multilinear_map.has_zero._proof_1
0.000028    12885 continuous_multilinear_map.has_zero._proof_2
0.000027    12886 continuous_multilinear_map.has_zero._proof_3
0.000028    12887 continuous_multilinear_map.has_zero
0.000027    12888 multilinear_map.has_neg._proof_1
0.000027    12889 multilinear_map.has_neg._proof_2
0.000027    12890 multilinear_map.has_neg
0.000027    12891 continuous_multilinear_map.has_neg._proof_1
0.000027    12892 continuous_multilinear_map.has_neg._proof_2
0.000027    12893 continuous_multilinear_map.has_neg._proof_3
0.000026    12894 continuous_multilinear_map.has_neg
0.000028    12895 multilinear_map.has_sub._proof_1
0.000027    12896 multilinear_map.has_sub._proof_2
0.000027    12897 multilinear_map.has_sub
0.000028    12898 continuous_multilinear_map.has_sub._proof_1
0.000026    12899 continuous_multilinear_map.has_sub._proof_2
0.000027    12900 continuous_multilinear_map.has_sub._proof_3
0.000027    12901 continuous_multilinear_map.has_sub
0.000027    12902 multilinear_map.cases_on
0.000027    12903 multilinear_map.coe_inj
0.000027    12904 multilinear_map.ext
0.000026    12905 multilinear_map.add_apply
0.000027    12906 multilinear_map.add_comm_monoid._proof_1
0.000028    12907 multilinear_map.zero_apply
0.000026    12908 multilinear_map.add_comm_monoid._proof_2
0.000028    12909 multilinear_map.add_comm_monoid._proof_3
0.000027    12910 multilinear_map.add_comm_monoid._proof_4
0.000027    12911 multilinear_map.add_comm_monoid
0.000027    12912 multilinear_map.add_comm_group._proof_1
0.000027    12913 multilinear_map.add_comm_group._proof_2
0.000027    12914 multilinear_map.add_comm_group._proof_3
0.000027    12915 multilinear_map.sub_apply
0.000027    12916 multilinear_map.neg_apply
0.000027    12917 multilinear_map.add_comm_group._proof_4
0.000027    12918 multilinear_map.add_comm_group._proof_5
0.000027    12919 multilinear_map.add_comm_group._proof_6
0.000027    12920 multilinear_map.add_comm_group
0.000026    12921 continuous_multilinear_map.cases_on
0.000027    12922 continuous_multilinear_map.to_multilinear_map_inj
0.000028    12923 continuous_multilinear_map.add_comm_group._proof_2
0.000027    12924 continuous_multilinear_map.add_comm_group._proof_3
0.000024    12925 continuous_multilinear_map.add_comm_group._proof_4
0.000023    12926 continuous_multilinear_map.add_comm_group._proof_5
0.000026    12927 continuous_multilinear_map.add_comm_group._proof_6
0.000028    12928 continuous_multilinear_map.add_comm_group
0.000027    12929 continuous_multilinear_map.to_normed_group._proof_1
0.000027    12930 real.comm_monoid
0.000027    12931 continuous_multilinear_map.op_norm
0.000027    12932 continuous_multilinear_map.has_op_norm
0.000028    12933 continuous_multilinear_map.ext
0.000027    12934 continuous_multilinear_map.zero_apply
0.000027    12935 ordered_comm_semiring
0.000027    12936 ordered_comm_semiring.add
0.000027    12937 ordered_comm_semiring.add_assoc
0.000027    12938 ordered_comm_semiring.zero
0.000027    12939 ordered_comm_semiring.zero_add
0.000027    12940 ordered_comm_semiring.add_zero
0.000027    12941 ordered_comm_semiring.add_comm
0.000027    12942 ordered_comm_semiring.mul
0.000027    12943 ordered_comm_semiring.mul_assoc
0.000027    12944 ordered_comm_semiring.one
0.000027    12945 ordered_comm_semiring.one_mul
0.000026    12946 ordered_comm_semiring.mul_one
0.000028    12947 ordered_comm_semiring.zero_mul
0.000027    12948 ordered_comm_semiring.mul_zero
0.000027    12949 ordered_comm_semiring.left_distrib
0.000027    12950 ordered_comm_semiring.right_distrib
0.000027    12951 ordered_comm_semiring.add_left_cancel
0.000027    12952 ordered_comm_semiring.le
0.000027    12953 ordered_comm_semiring.lt
0.000026    12954 ordered_comm_semiring.le_refl
0.000028    12955 ordered_comm_semiring.le_trans
0.000026    12956 ordered_comm_semiring.lt_iff_le_not_le
0.000028    12957 ordered_comm_semiring.le_antisymm
0.000027    12958 ordered_comm_semiring.add_le_add_left
0.000027    12959 ordered_comm_semiring.le_of_add_le_add_left
1.155848    12960 ordered_comm_semiring.zero_le_one
0.000095    12961 ordered_comm_semiring.mul_lt_mul_of_pos_left
0.000028    12962 ordered_comm_semiring.mul_lt_mul_of_pos_right
0.000028    12963 ordered_comm_semiring.to_ordered_semiring
0.000029    12964 ordered_comm_semiring.mul_comm
0.000028    12965 ordered_comm_semiring.to_comm_semiring
0.000029    12966 multiset.prod_eq_foldr
0.000029    12967 multiset.foldr_zero
0.000030    12968 multiset.mem_cons_of_mem
0.000027    12969 multiset.foldr_induction'
0.000028    12970 multiset.foldr_induction
0.000027    12971 multiset.prod_induction
0.000027    12972 quotient.mk'
0.000027    12973 quotient.induction_on'
0.000027    12974 list.forall_mem_map_iff
0.000028    12975 multiset.forall_mem_map_iff
0.000027    12976 finset.prod_induction
0.000027    12977 finset.prod_nonneg
0.000027    12978 ordered_comm_ring
0.000027    12979 ordered_comm_ring.add
0.000027    12980 ordered_comm_ring.add_assoc
0.000028    12981 ordered_comm_ring.zero
0.000027    12982 ordered_comm_ring.zero_add
0.000027    12983 ordered_comm_ring.add_zero
0.000026    12984 ordered_comm_ring.add_comm
0.000028    12985 ordered_comm_ring.mul
0.000027    12986 ordered_comm_ring.mul_assoc
0.000027    12987 ordered_comm_ring.one
0.000027    12988 ordered_comm_ring.one_mul
0.000027    12989 ordered_comm_ring.mul_one
0.000027    12990 ordered_comm_ring.zero_mul
0.000027    12991 ordered_comm_ring.mul_zero
0.000027    12992 ordered_comm_ring.left_distrib
0.000027    12993 ordered_comm_ring.right_distrib
0.000027    12994 ordered_comm_ring.add_left_cancel
0.000027    12995 ordered_comm_ring.le
0.000027    12996 ordered_comm_ring.lt
0.000027    12997 ordered_comm_ring.le_refl
0.000027    12998 ordered_comm_ring.le_trans
0.000027    12999 ordered_comm_ring.lt_iff_le_not_le
0.000027    13000 ordered_comm_ring.le_antisymm
0.000027    13001 ordered_comm_ring.neg
0.000028    13002 ordered_comm_ring.sub
0.000026    13003 ordered_comm_ring.sub_eq_add_neg
0.000032    13004 ordered_comm_ring.add_left_neg
0.000028    13005 ordered_comm_ring.add_le_add_left
0.000028    13006 ordered_comm_ring.le_of_add_le_add_left
0.000029    13007 ordered_comm_ring.zero_le_one
0.000027    13008 ordered_comm_ring.mul_lt_mul_of_pos_left
0.000025    13009 ordered_comm_ring.mul_lt_mul_of_pos_right
0.000022    13010 ordered_comm_ring.mul_comm
0.000028    13011 ordered_comm_ring.to_ordered_comm_semiring
0.000029    13012 linear_ordered_comm_ring.to_ordered_comm_ring
0.000028    13013 finset.exists_mem_insert
0.000028    13014 finset.prod_eq_zero_iff
0.000028    13015 multilinear_map.map_coord_zero
0.000029    13016 continuous_multilinear_map.map_coord_zero
0.000028    13017 nnreal.distrib_lattice
0.000029    13018 nnreal.semilattice_sup_bot
0.000029    13019 nnnorm
0.000028    13020 pi.add_comm_group._proof_1
0.000029    13021 pi.add_comm_group._proof_2
0.000027    13022 pi.add_comm_group._proof_3
0.000029    13023 pi.has_neg
0.000041    13024 pi.has_sub
0.000028    13025 pi.add_comm_group._proof_4
0.000031    13026 pi.add_comm_group._proof_5
0.000029    13027 pi.add_comm_group._proof_6
0.000028    13028 pi.add_comm_group
0.000028    13029 ennreal.bot_eq_zero
0.000028    13030 pseudo_emetric_space_pi._proof_1
0.000031    13031 pseudo_emetric_space_pi._proof_2
0.000028    13032 pseudo_emetric_space_pi._proof_3
0.000027    13033 Pi.uniform_space._proof_1
0.000027    13034 Pi.uniform_space
0.000028    13035 Pi.uniformity
0.000027    13036 infi_pos
0.000027    13037 set.Inter_pos
0.000028    13038 finset.inf_empty
0.000027    13039 false_implies_iff
0.000027    13040 pi.inhabited
0.000027    13041 finset.inf_congr
0.000027    13042 filter.mem_infi_sets_finset
0.000027    13043 filter.infi_principal_finset
0.000027    13044 filter.infi_principal_fintype
0.000027    13045 finset.cons_induction_on
0.000027    13046 finset.fold_cons
0.000027    13047 finset.sup_cons
0.000027    13048 finset.sup_lt_iff
0.000027    13049 pseudo_emetric_space_pi._proof_4
0.000027    13050 pseudo_emetric_space_pi
0.000027    13051 edist_pi_def
0.000027    13052 ennreal.lt_top_iff_ne_top
0.000027    13053 edist_ne_top
0.000028    13054 edist_lt_top
0.000027    13055 pseudo_metric_space_pi._proof_1
0.000026    13056 finset.comp_sup_eq_sup_comp
0.000028    13057 monotone.map_sup
0.000027    13058 finset.comp_sup_eq_sup_comp_of_is_total
0.000026    13059 ennreal.coe_mono
0.000027    13060 ennreal.coe_finset_sup
0.000027    13061 pseudo_metric_space_pi._proof_2
0.000027    13062 pseudo_metric_space_pi
0.000027    13063 nndist_eq_nnnorm
0.000027    13064 pi.semi_normed_group._proof_1
0.000027    13065 pi.semi_normed_group
0.000027    13066 metric_space_pi._proof_1
0.000027    13067 metric_space_pi._proof_2
0.000026    13068 metric_space_pi._proof_3
0.000028    13069 metric_space_pi._proof_4
0.000027    13070 metric_space_pi._proof_5
0.000027    13071 edist_le_zero
0.000027    13072 metric_space_pi._proof_6
0.000026    13073 metric_space_pi
0.000031    13074 pi.normed_group._proof_1
0.000029    13075 pi.normed_group
0.000028    13076 finset.prod_eq_zero
0.000028    13077 finset.piecewise
0.000028    13078 finset.piecewise.equations._eqn_1
0.968967    13079 finset.piecewise_univ
0.000098    13080 finset.piecewise_empty
0.000028    13081 finset.piecewise_coe
0.000029    13082 set.piecewise.equations._eqn_1
0.000028    13083 set.piecewise_insert
0.000028    13084 finset.coe_insert
0.000029    13085 finset.piecewise_insert
0.000027    13086 finset.piecewise_eq_of_not_mem
0.000028    13087 multilinear_map.map_piecewise_smul
0.000027    13088 multilinear_map.map_smul_univ
0.000027    13089 finset.prod_eq_multiset_prod
0.000027    13090 list.prod_hom
0.000027    13091 multiset.prod_hom
0.000027    13092 monoid_hom.map_multiset_prod
0.000027    13093 monoid_hom.map_prod
0.000027    13094 normed_field.norm_prod
0.000027    13095 finset.prod_congr
0.000027    13096 finset.prod_mul_distrib
0.000027    13097 finset.prod_pos
0.000027    13098 multilinear_map.bound_of_shell
0.000031    13099 pi.add_group._proof_1
0.000028    13100 pi.add_group._proof_2
0.000028    13101 pi.add_group._proof_3
0.000029    13102 pi.add_group._proof_4
0.000027    13103 pi.add_group._proof_5
0.000031    13104 pi.add_group
0.000027    13105 set.exists_mem_of_nonempty
0.000028    13106 multilinear_map.map_zero
0.000023    13107 dist_pi_def
0.000022    13108 dist_lt_coe
0.000027    13109 dist_pi_lt_iff
0.000027    13110 pi_norm_lt_iff
0.000026    13111 fintype.card.equations._eqn_1
0.000027    13112 finset.card_insert_of_not_mem
0.000028    13113 finset.prod_const
0.000027    13114 finset.prod_le_prod
0.000026    13115 add_pos_of_nonneg_of_pos
0.000027    13116 finset.coe_nonempty
0.000027    13117 set.nonempty_iff_univ_nonempty
0.000027    13118 finset.univ_nonempty_iff
0.000027    13119 finset.ne_empty_of_mem
0.000027    13120 finset.nonempty.ne_empty
0.000027    13121 finset.nonempty_iff_ne_empty
0.000027    13122 finset.univ_eq_empty
0.000027    13123 finset.card_empty
0.000026    13124 multilinear_map.exists_bound_of_continuous
0.000027    13125 continuous_multilinear_map.bound
0.000027    13126 continuous_multilinear_map.bounds_nonempty
0.000027    13127 continuous_multilinear_map.op_norm_nonneg
0.000027    13128 continuous_multilinear_map.bounds_bdd_below
0.000027    13129 continuous_multilinear_map.le_op_norm
0.000027    13130 continuous_multilinear_map.op_norm_le_bound
0.000027    13131 continuous_multilinear_map.op_norm_zero_iff
0.000039    13132 continuous_multilinear_map.op_norm_add_le
0.000034    13133 continuous_multilinear_map.norm_def
0.000036    13134 continuous_multilinear_map.neg_apply
0.000044    13135 continuous_multilinear_map.op_norm_neg
0.000046    13136 continuous_multilinear_map.to_normed_group._proof_2
0.000031    13137 continuous_multilinear_map.to_normed_group
0.000033    13138 continuous_multilinear_map.add_comm_monoid._proof_1
0.000028    13139 continuous_multilinear_map.add_comm_monoid._proof_2
0.000029    13140 continuous_multilinear_map.add_comm_monoid._proof_3
0.000028    13141 continuous_multilinear_map.add_comm_monoid
0.000028    13142 multilinear_map.has_scalar._proof_1
0.000029    13143 multilinear_map.has_scalar._proof_2
0.000028    13144 multilinear_map.has_scalar
0.000028    13145 continuous_multilinear_map.has_scalar._proof_1
0.000029    13146 continuous_multilinear_map.has_scalar._proof_2
0.000027    13147 continuous_multilinear_map.has_scalar._proof_3
0.000029    13148 continuous_multilinear_map.has_scalar
0.000029    13149 continuous_multilinear_map.semimodule._proof_1
0.000027    13150 continuous_multilinear_map.semimodule._proof_2
0.000028    13151 continuous_multilinear_map.semimodule._proof_3
0.000028    13152 continuous_multilinear_map.semimodule._proof_4
0.000028    13153 continuous_multilinear_map.semimodule._proof_5
0.000027    13154 continuous_multilinear_map.semimodule._proof_6
0.000028    13155 continuous_multilinear_map.semimodule
0.000028    13156 continuous_multilinear_map.to_normed_space._proof_1
0.000030    13157 continuous_multilinear_map.to_normed_space._proof_2
0.000027    13158 continuous_multilinear_map.op_norm_smul_le
0.000028    13159 continuous_multilinear_map.to_normed_space._proof_3
0.000028    13160 continuous_multilinear_map.to_normed_space
0.000028    13161 continuous_multilinear_map.curry_left._proof_1
0.000030    13162 continuous_multilinear_map.curry_left._proof_2
0.000028    13163 multilinear_map.mk_continuous._proof_1
0.000029    13164 multilinear_map.mk_continuous._proof_2
0.000027    13165 lt_inf_iff
0.000028    13166 lt_min_iff
0.000029    13167 continuous_at_of_locally_lipschitz
0.000028    13168 multilinear_map.map_neg
0.000027    13169 multilinear_map.map_sub
0.000027    13170 finset.piecewise_eq_of_mem
0.000027    13171 multilinear_map.norm_image_sub_le_of_bound'
0.000028    13172 dist_le_coe
0.000027    13173 subtype.eta
0.000027    13174 nndist_pi_def
0.000027    13175 dist_pi_le_iff
0.000027    13176 pi_norm_le_iff
0.000027    13177 norm_le_pi_norm
0.000027    13178 finset.piecewise_singleton
0.000027    13179 finset.update_eq_piecewise
0.000027    13180 is_symm
0.000031    13181 is_equiv
0.000028    13182 is_equiv.to_is_preorder
0.408136    13183 eq_is_equiv
0.000092    13184 finset.filter_not
0.000027    13185 finset.filter_union_filter_neg_eq
0.000024    13186 finset.disjoint_right
0.000029    13187 congr_arg2
0.000024    13188 finset.prod_attach
0.000024    13189 finset.prod_apply_dite
0.000022    13190 finset.prod_apply_ite
0.000015    13191 finset.prod_ite
0.000014    13192 finset.filter_mem_eq_inter
0.000013    13193 finset.sdiff_eq_filter
0.000014    13194 finset.prod_piecewise
0.000014    13195 finset.inter_comm
0.000013    13196 finset.insert_inter_of_mem
0.000014    13197 finset.empty_inter
0.000014    13198 finset.singleton_inter_of_mem
0.000013    13199 finset.inter_singleton_of_mem
0.000014    13200 multiset.card_singleton
0.000013    13201 finset.card_singleton
0.000014    13202 finset.prod_update_of_mem
0.000013    13203 finset.union_empty
0.000014    13204 finset.union_left_comm
0.000014    13205 finset.union_insert
0.000014    13206 finset.insert_eq_of_mem
0.000014    13207 finset.inter_insert_of_mem
0.000013    13208 finset.insert_inter_of_not_mem
0.000014    13209 finset.inter_insert_of_not_mem
0.000014    13210 finset.card_union_add_card_inter
0.000013    13211 finset.card_disjoint_union
0.000014    13212 finset.card_sdiff
0.000014    13213 finset.card_univ_diff
0.000013    13214 finset.sum_const
0.000014    13215 finset.card_univ
0.000013    13216 multilinear_map.norm_image_sub_le_of_bound
0.000014    13217 pow_le_pow_of_le_left
0.000013    13218 norm_le_of_mem_closed_ball
0.000018    13219 multilinear_map.continuous_of_bound
0.000014    13220 multilinear_map.mk_continuous._proof_3
0.000015    13221 multilinear_map.mk_continuous
0.000014    13222 multilinear_map.distrib_mul_action._proof_1
0.000014    13223 multilinear_map.distrib_mul_action._proof_2
0.000015    13224 multilinear_map.distrib_mul_action._proof_3
0.000014    13225 multilinear_map.distrib_mul_action._proof_4
0.000014    13226 multilinear_map.distrib_mul_action
0.000015    13227 multilinear_map.semimodule._proof_1
0.000014    13228 multilinear_map.semimodule._proof_2
0.000017    13229 multilinear_map.semimodule
0.000013    13230 multilinear_map.curry_left._proof_1
0.000014    13231 continuous_multilinear_map.curry_left._proof_3
0.000014    13232 multilinear_map.curry_left._proof_2
0.000013    13233 fin.cases_zero
0.000014    13234 fin.cons_zero
0.000013    13235 fin.ext_iff
0.000014    13236 fin.succ_ne_zero
0.000013    13237 nat.pred_lt_pred
0.000013    13238 fin.val_zero
0.000014    13239 fin.vne_of_ne
0.000013    13240 fin.pred._main
0.000014    13241 fin.pred
0.000014    13242 fin.succ_pred
0.000013    13243 rel_embedding.injective
0.000014    13244 fin.succ_embedding._match_1
0.000013    13245 fin.succ_embedding._match_2
0.000014    13246 fin.succ_embedding._proof_1
0.000014    13247 fin.succ_embedding
0.000013    13248 fin.succ_injective
0.000014    13249 fin.succ_inj
0.000013    13250 fin.cons_update
0.000014    13251 multilinear_map.curry_left._proof_3
0.000013    13252 multilinear_map.curry_left._proof_4
0.000014    13253 fin.update_cons_zero
0.000014    13254 multilinear_map.cons_add
0.000013    13255 multilinear_map.curry_left._proof_5
0.000014    13256 multilinear_map.cons_smul
0.000013    13257 multilinear_map.curry_left._proof_6
0.000014    13258 multilinear_map.curry_left
0.000014    13259 strict_mono.ite'
0.000013    13260 strict_mono.ite
0.000014    13261 rel_embedding.coe_fn_to_embedding
0.000013    13262 order_embedding.lt_embedding._proof_1
0.000014    13263 order_embedding.lt_embedding
0.000014    13264 order_embedding.lt_iff_lt
0.000014    13265 order_embedding.strict_mono
0.000013    13266 fin.lt_iff_coe_lt_coe
0.000014    13267 fin.coe_cast_succ
0.000014    13268 fin.succ._main.equations._eqn_1
0.000013    13269 fin.succ.equations._eqn_1
0.000014    13270 fin.coe_mk
0.000013    13271 fin.coe_succ
0.000014    13272 fin.cast_succ_lt_succ
0.000014    13273 fin.succ_above_aux
0.000013    13274 fin.succ_above
0.000014    13275 fin.bounded_lattice._proof_1
0.000013    13276 fin.bounded_lattice._proof_2
0.000014    13277 fin.bounded_lattice._proof_3
0.000014    13278 fin.bounded_lattice._proof_4
0.000013    13279 fin.bounded_lattice._proof_5
0.000013    13280 fin.bounded_lattice._proof_6
0.000014    13281 fin.bounded_lattice._proof_7
0.000016    13282 fin.bounded_lattice._proof_8
0.000015    13283 fin.bounded_lattice._proof_9
0.000013    13284 fin.bounded_lattice._proof_10
0.000014    13285 fin.last
0.000013    13286 fin.le_last
0.000013    13287 fin.zero_le
0.000014    13288 fin.bounded_lattice
0.000013    13289 fin.pred_above._proof_1
0.000013    13290 fin.pred_above._proof_2
0.000014    13291 fin.pred_above
0.000013    13292 fin.cast_pred
0.000014    13293 fin.pred_above.equations._eqn_1
0.000013    13294 fin.succ_above.equations._eqn_1
0.000013    13295 order_embedding.coe_of_strict_mono
0.000014    13296 fin.succ_above_above
0.000013    13297 fin.le_iff_coe_le_coe
0.000014    13298 add_left_cancel_monoid.zero
0.000014    13299 add_left_cancel_monoid.zero_add
0.000013    13300 add_left_cancel_monoid.add_zero
0.000014    13301 add_left_cancel_monoid.to_add_monoid
0.000014    13302 fin.cast_succ_lt_last
0.593976    13303 fin.cast_pred.equations._eqn_1
0.000100    13304 fin.coe_pred
0.000027    13305 fin.coe_last
0.000029    13306 nat.succ_sub_one
0.000028    13307 nat.add_succ_sub_one
0.000029    13308 fin.cast_pred_last
0.000030    13309 add_right_eq_self
0.000029    13310 self_eq_add_right
0.000029    13311 nat.one_ne_zero
0.000026    13312 fin.cast_succ_cast_lt
0.000028    13313 fin.cast_succ_cast_pred
0.000027    13314 fin.cast_succ_lt_cast_succ_iff
0.000027    13315 fin.cast_lt_cast_succ
0.000027    13316 fin.cast_pred_cast_succ
0.000027    13317 fin.lt_last_iff_coe_cast_pred
0.000027    13318 nat.le_pred_of_lt
0.000027    13319 fin.succ_above_below
0.000027    13320 function.embedding.cases_on
0.000027    13321 rel_embedding.coe_fn_inj
0.000028    13322 rel_embedding.ext
0.000026    13323 fin.succ_above_last
0.000028    13324 fin.eq_last_of_not_lt
0.000027    13325 fin.univ_cast_succ
0.000027    13326 fin.univ_succ_above
0.000027    13327 fin.succ_above_ne
0.000026    13328 fin.succ_above_right_injective
0.000027    13329 fin.succ_above_right_inj
0.000027    13330 fin.prod_univ_succ_above
0.000027    13331 fin.prod_univ_succ
0.000027    13332 continuous_multilinear_map.norm_map_cons_le
0.000028    13333 continuous_multilinear_map.curry_left._proof_4
0.000026    13334 continuous_multilinear_map.cons_add
0.000028    13335 continuous_multilinear_map.curry_left._proof_5
0.000026    13336 continuous_multilinear_map.cons_smul
0.000027    13337 continuous_multilinear_map.curry_left._proof_6
0.000027    13338 multilinear_map.mk_continuous_norm_le
0.000027    13339 continuous_multilinear_map.curry_left._proof_7
0.000027    13340 continuous_multilinear_map.curry_left
0.000027    13341 has_ftaylor_series_up_to_on
0.000027    13342 times_cont_diff_within_at
0.000027    13343 times_cont_diff_at
0.000027    13344 linear_isometry_equiv
0.000026    13345 continuous_multilinear_curry_fin1._proof_1
0.000027    13346 continuous_multilinear_curry_fin1._proof_2
0.000027    13347 linear_isometry_equiv.to_linear_equiv
0.000027    13348 linear_isometry_equiv.has_coe_to_fun
0.000027    13349 linear_equiv.trans._proof_1
0.000026    13350 linear_equiv.trans._proof_2
0.000027    13351 linear_equiv.trans._proof_3
0.000027    13352 linear_equiv.trans._proof_4
0.000027    13353 linear_equiv.trans
0.000026    13354 linear_isometry_equiv.norm_map'
0.000027    13355 linear_isometry_equiv.norm_map
0.000027    13356 linear_isometry_equiv.trans._proof_1
0.000028    13357 linear_isometry_equiv.trans
0.000027    13358 continuous_multilinear_curry_right_equiv._proof_1
0.000027    13359 continuous_multilinear_curry_right_equiv._proof_3
0.000028    13360 continuous_multilinear_curry_right_equiv._proof_2
0.000027    13361 continuous_multilinear_curry_fin1._proof_3
0.000027    13362 continuous_multilinear_curry_fin1._proof_4
0.000027    13363 linear_equiv.apply_symm_apply
0.000027    13364 linear_isometry_equiv.symm._proof_1
0.000026    13365 linear_isometry_equiv.symm
0.000027    13366 linear_equiv.symm_apply_apply
0.000027    13367 linear_isometry_equiv.of_bounds._proof_1
0.000027    13368 linear_isometry_equiv.of_bounds
0.000028    13369 continuous_multilinear_curry_right_equiv._proof_4
0.000027    13370 continuous_multilinear_curry_right_equiv._proof_5
0.000024    13371 continuous_multilinear_curry_right_equiv._proof_6
0.000022    13372 continuous_multilinear_map.uncurry_right._proof_1
0.000027    13373 continuous_multilinear_map.uncurry_right._proof_2
0.000028    13374 linear_map.add_comm_group._proof_1
0.000026    13375 linear_map.add_comm_group._proof_2
0.000028    13376 linear_map.add_comm_group._proof_3
0.000027    13377 linear_map.sub_apply
0.000027    13378 linear_map.neg_apply
0.000026    13379 linear_map.add_comm_group._proof_4
0.000027    13380 linear_map.add_comm_group._proof_5
0.000027    13381 linear_map.add_comm_group._proof_6
0.000027    13382 linear_map.add_comm_group
0.000027    13383 continuous_multilinear_map.uncurry_right._proof_3
0.000027    13384 continuous_multilinear_map.map_add
0.000027    13385 continuous_multilinear_map.uncurry_right._proof_4
0.000027    13386 continuous_multilinear_map.map_smul
0.000027    13387 continuous_multilinear_map.uncurry_right._proof_5
0.000027    13388 multilinear_map.uncurry_right._proof_1
0.000027    13389 multilinear_map.uncurry_right._proof_2
0.000027    13390 fin.init
0.000026    13391 fin.init.equations._eqn_1
0.000027    13392 order_embedding.eq_iff_eq
0.000027    13393 fin.init_update_cast_succ
0.000027    13394 fin.init_update_last
0.000027    13395 multilinear_map.uncurry_right._proof_3
0.000026    13396 multilinear_map.uncurry_right._proof_4
0.000027    13397 multilinear_map.uncurry_right
0.000076    13398 fin.prod_univ_cast_succ
0.000028    13399 continuous_multilinear_map.norm_map_init_le
0.000028    13400 continuous_multilinear_map.uncurry_right._proof_6
0.000028    13401 continuous_multilinear_map.uncurry_right
0.907290    13402 continuous_multilinear_curry_right_equiv._proof_7
0.000090    13403 continuous_multilinear_curry_right_equiv._proof_8
0.000028    13404 continuous_multilinear_map.curry_right._proof_1
0.000028    13405 continuous_multilinear_map.curry_right._proof_2
0.000031    13406 multilinear_map.curry_right._proof_1
0.000031    13407 continuous_multilinear_map.curry_right._proof_3
0.000030    13408 multilinear_map.curry_right._proof_2
0.000030    13409 fin.snoc._proof_1
0.000030    13410 fin.snoc._proof_2
0.000028    13411 fin.snoc
0.000029    13412 fin.snoc.equations._eqn_1
0.000029    13413 function.bijective.injective
0.000028    13414 eq_rec_on_bijective
0.000028    13415 cast_bijective
0.000028    13416 cast_inj
0.000028    13417 fin.snoc_last
0.000028    13418 fin.update_snoc_last
0.000028    13419 multilinear_map.snoc_add
0.000048    13420 multilinear_map.curry_right._proof_3
0.000030    13421 multilinear_map.snoc_smul
0.000020    13422 multilinear_map.curry_right._proof_4
0.000023    13423 heq_of_cast_eq
0.000028    13424 eq_rec_compose
0.000029    13425 fin.snoc_update
0.000029    13426 multilinear_map.curry_right._proof_5
0.000028    13427 multilinear_map.curry_right._proof_6
0.000028    13428 multilinear_map.curry_right
0.000029    13429 fin.snoc_cast_succ
0.000028    13430 continuous_multilinear_map.norm_map_snoc_le
0.000028    13431 continuous_multilinear_map.curry_right._proof_4
0.000029    13432 continuous_multilinear_map.curry_right._proof_5
0.000027    13433 continuous_multilinear_map.curry_right._proof_6
0.000029    13434 linear_map.mk_continuous_norm_le
0.000028    13435 continuous_multilinear_map.curry_right._proof_7
0.000028    13436 continuous_multilinear_map.curry_right
0.000027    13437 continuous_multilinear_map.curry_right_apply
0.000029    13438 continuous_multilinear_map.uncurry_right_apply
0.000027    13439 fin.init_snoc
0.000028    13440 continuous_multilinear_map.curry_uncurry_right
0.000028    13441 proof_irrel_heq
0.000029    13442 fin.snoc_init_self
0.000028    13443 continuous_multilinear_map.uncurry_curry_right
0.000028    13444 continuous_multilinear_curry_right_equiv._proof_9
0.000028    13445 continuous_multilinear_curry_right_equiv._proof_10
0.000028    13446 continuous_multilinear_curry_right_equiv._proof_11
0.000028    13447 continuous_multilinear_curry_right_equiv
0.000029    13448 continuous_multilinear_curry_fin0._proof_1
0.000025    13449 continuous_multilinear_curry_fin0._proof_2
0.000025    13450 continuous_multilinear_curry_fin0._proof_3
0.000028    13451 continuous_multilinear_curry_fin0._proof_4
0.000028    13452 continuous_multilinear_map.curry0._proof_1
0.000028    13453 continuous_multilinear_map.curry0._proof_2
0.000029    13454 continuous_multilinear_map.curry0._proof_3
0.000028    13455 continuous_multilinear_map.curry0
0.000027    13456 continuous_multilinear_map.uncurry0_apply
0.000028    13457 pi.unique_of_empty._proof_1
0.000028    13458 pi.unique_of_empty
0.000029    13459 fin.tuple0_unique._proof_1
0.000027    13460 fin.tuple0_unique
0.000029    13461 continuous_multilinear_map.curry0_apply
0.000028    13462 continuous_multilinear_map.apply_zero_curry0
0.000028    13463 continuous_multilinear_map.uncurry0_curry0
0.000028    13464 continuous_multilinear_map.curry0_uncurry0
0.000028    13465 fin.prod_univ_zero
0.000029    13466 continuous_multilinear_map.fin0_apply_norm
0.000028    13467 continuous_multilinear_map.uncurry0_norm
0.000028    13468 continuous_multilinear_curry_fin0
0.000027    13469 continuous_multilinear_curry_fin1
0.000028    13470 dense
0.000029    13471 set_like.mem_coe
0.000027    13472 submodule.zero_mem'
0.000028    13473 submodule.zero_mem
0.000028    13474 submodule.has_bot._proof_1
0.000029    13475 submodule.has_bot._proof_2
0.000027    13476 submodule.has_bot._proof_3
0.000028    13477 submodule.has_bot
0.000028    13478 submodule.inhabited'
0.000028    13479 submodule.has_Inf._proof_1
0.000028    13480 submodule.add_mem'
0.000029    13481 submodule.add_mem
0.000027    13482 submodule.has_Inf._proof_2
0.000028    13483 submodule.smul_mem'
0.000029    13484 submodule.smul_mem
0.000028    13485 submodule.has_Inf._proof_3
0.000028    13486 submodule.has_Inf
0.000027    13487 submodule.span
0.000028    13488 tangent_cone_at
0.000028    13489 unique_diff_within_at
0.000029    13490 set.diagonal
0.000028    13491 is_closed_of_closure_subset
0.000028    13492 closure_subset_iff_is_closed
0.000028    13493 is_closed_iff_cluster_pt
0.000027    13494 filter.ne_bot.ne
0.000028    13495 is_closed_diagonal
0.000028    13496 is_closed_eq
0.000028    13497 set.eq_on.closure
0.000028    13498 submodule.mem_span
0.000028    13499 submodule.subset_span
0.000028    13500 submodule.span_le
0.000028    13501 submodule.span_induction
0.000029    13502 linear_map.eq_on_span
0.000027    13503 linear_map.eq_on_span'
0.000028    13504 continuous_linear_map.eq_on_closure_span
0.000028    13505 continuous_linear_map.ext_on
0.000028    13506 separation_rel
0.000028    13507 separated_space
0.000028    13508 t2_iff_is_closed_diagonal
1.642853    13509 separated_space.out
0.000097    13510 separation_rel.equations._eqn_1
0.000028    13511 filter.has_basis.sInter_sets
0.000024    13512 filter.has_basis.separation_rel
0.000027    13513 filter.has_basis.dcases_on
0.000029    13514 filter.has_basis_iff
0.000029    13515 filter.has_basis_self
0.000029    13516 symmetric_rel
0.000029    13517 symmetrize_rel
0.000026    13518 symmetrize_mem_uniformity
0.000028    13519 symmetrize_rel.equations._eqn_1
0.000027    13520 symmetric_rel.equations._eqn_1
0.000027    13521 set.preimage_comp
0.000027    13522 symmetric_symmetrize_rel
0.000027    13523 comp_rel_mono
0.000027    13524 set.sep_subset
0.000027    13525 symmetrize_rel_subset_self
0.000027    13526 comp_symm_mem_uniformity_sets
0.000026    13527 subset_comp_self
0.000028    13528 subset_comp_self_of_mem_uniformity
0.000027    13529 comp_comp_symm_mem_uniformity_sets
0.000027    13530 filter.has_basis.cluster_pt_iff
0.000027    13531 sort.inhabited
0.000027    13532 sort.inhabited'
0.000027    13533 filter.has_basis_principal
0.000027    13534 mem_closure_iff_nhds_basis'
0.000027    13535 mem_closure_iff_nhds_basis
0.000026    13536 filter.has_basis.prod'
0.000027    13537 ball_mono
0.000027    13538 uniform_space.mem_nhds_iff_symm
0.000026    13539 uniform_space.has_basis_nhds
0.000028    13540 symmetric_rel_inter
0.000026    13541 uniform_space.has_basis_nhds_prod
0.000025    13542 mem_ball_symmetry
0.000022    13543 mem_comp_comp
0.000027    13544 closure_eq_uniformity
0.000028    13545 uniformity_has_basis_closed
0.000027    13546 uniformity_has_basis_closure
0.000027    13547 separation_rel_eq_inter_closure
0.000028    13548 is_closed_separation_rel
0.000027    13549 separated_space_iff
0.000027    13550 separated_equiv
0.000027    13551 separated_def
0.000026    13552 separated_def'
0.000027    13553 filter.inf_eq_bot_iff
0.000027    13554 disjoint.mono
0.000028    13555 filter.not_ne_bot
0.000026    13556 t2_iff_nhds
0.000027    13557 separated_iff_t2
0.000026    13558 set.compl_inter_self
0.000028    13559 separated_regular._match_1
0.000027    13560 closure_eq_cluster_pts
0.000026    13561 cluster_pt.equations._eqn_1
0.000027    13562 set.prod_mk_mem_set_prod_eq
0.000027    13563 filter.prod_eq_bot
0.000027    13564 filter.prod_ne_bot
0.000027    13565 filter.prod_inf_prod
0.000026    13566 closure_prod_eq
0.000027    13567 mem_closure_iff_nhds_ne_bot
0.000028    13568 filter.lift_lift_same_le_lift
0.000027    13569 filter.lift_lift_same_eq_lift
0.000027    13570 filter.lift_lift'_same_eq_lift'
0.000027    13571 nhds_eq_uniformity_prod
0.000027    13572 filter.map_lift'_eq2
0.000027    13573 filter.inhabited_mem
0.000027    13574 filter.lift'_inf_principal_eq
0.000027    13575 filter.infi_ne_bot_of_directed'
0.000028    13576 filter.infi_ne_bot_iff_of_directed'
0.000027    13577 subtype.forall'
0.000027    13578 filter.lift_ne_bot_iff
0.000027    13579 filter.principal_eq_bot_iff
0.000027    13580 filter.principal_ne_bot_iff
0.000027    13581 filter.lift'_ne_bot_iff
0.000027    13582 set.monotone_inter
0.000027    13583 closure_eq_inter_uniformity
0.000026    13584 separated_regular._match_2
0.000027    13585 separated_regular
0.000028    13586 eq_of_le_of_forall_le_of_dense
0.000026    13587 eq_of_forall_dist_le
0.000027    13588 metric.metric_space.to_separated
0.000027    13589 asymptotics.is_o_norm_norm
0.000027    13590 asymptotics.is_o.of_norm_norm
0.000028    13591 asymptotics.is_o.norm_norm
0.000026    13592 asymptotics.is_O.smul_is_o
0.000027    13593 tendsto_zero_iff_norm_tendsto_zero
0.000027    13594 filter.tendsto.congr'
0.000027    13595 add_le_iff_nonpos_left
0.000027    13596 eventually_ne_of_tendsto_norm_at_top
0.000027    13597 continuous.dist
0.000027    13598 continuous_norm
0.000027    13599 tangent_cone_at.lim_zero
0.000027    13600 ge_mem_nhds
0.000027    13601 asymptotics.is_O_const_of_tendsto
0.000027    13602 asymptotics.is_O_one_of_tendsto
0.000027    13603 has_fderiv_within_at.lim
0.000026    13604 has_fderiv_within_at.unique_on
0.000028    13605 unique_diff_within_at.eq
0.000041    13606 unique_diff_within_at.equations._eqn_1
0.000028    13607 normed_field.norm_pow
0.000029    13608 tangent_cone_univ
0.000027    13609 submodule.has_top._proof_1
0.000028    13610 submodule.has_top._proof_2
0.000026    13611 submodule.has_top._proof_3
0.000027    13612 submodule.has_top
0.000027    13613 submodule.order_top._proof_1
0.000026    13614 submodule.order_top._proof_2
0.000027    13615 submodule.order_top._proof_3
0.000026    13616 submodule.order_top._proof_4
0.000027    13617 submodule.order_top._proof_5
0.000027    13618 submodule.order_top
0.000027    13619 eq_top_iff
0.000026    13620 set_like.le_def
0.000027    13621 submodule.span_univ
0.000027    13622 submodule.top_coe
0.000027    13623 dense_univ
0.000026    13624 is_closed_univ
0.000027    13625 closure_univ
0.000027    13626 unique_diff_within_at_univ
0.000027    13627 has_fderiv_within_at.equations._eqn_1
0.000027    13628 has_fderiv_within_at_univ
0.000027    13629 has_fderiv_at.unique
0.000027    13630 metric.eventually_nhds_iff_ball
0.000027    13631 metric.is_open_iff
0.000026    13632 add_lt_add_of_lt_of_le
0.390603    13633 metric.ball_subset
0.000097    13634 metric.exists_ball_subset_ball
0.000028    13635 metric.is_open_ball
0.000026    13636 metric.mem_ball_self
0.000029    13637 metric.ball_mem_nhds
0.000030    13638 restrict_scalars.normed_group
0.000029    13639 normed_space.restrict_scalars._proof_1
0.000025    13640 normed_space.restrict_scalars._proof_2
0.000024    13641 normed_space.restrict_scalars._proof_3
0.000027    13642 normed_space.restrict_scalars
0.000028    13643 restrict_scalars.normed_space
0.000029    13644 is_R_or_C.to_normed_algebra
0.000027    13645 vector_space
0.000028    13646 convex
0.000028    13647 has_deriv_within_at
0.000026    13648 mem_closure_of_tendsto
0.000028    13649 continuous_within_at.mem_closure_image
0.000027    13650 continuous_within_at.mem_closure
0.000027    13651 continuous_within_at.prod
0.000026    13652 continuous_within_at.closure_le
0.000028    13653 closure_Ioi
0.000027    13654 continuous_within_at.mono
0.000074    13655 continuous_within_at_univ
0.000097    13656 continuous_at.continuous_within_at
0.000033    13657 continuous.continuous_within_at
0.000030    13658 continuous_within_at_const
0.000033    13659 continuous_within_at.add
0.000029    13660 continuous_within_at.mul
0.000029    13661 continuous_within_at_id
0.000029    13662 is_closed_induced_iff
0.000027    13663 set.restrict_eq
0.000027    13664 set.preimage_image_eq
0.000028    13665 function.injective.image_injective
0.000027    13666 subtype.preimage_coe_eq_preimage_coe_iff
0.000027    13667 continuous_on_iff_is_closed
0.000027    13668 continuous_on.preimage_closed_of_closed
0.000027    13669 continuous_on.prod
0.000027    13670 nhds_within_Ioi_ne_bot
0.000027    13671 nhds_within_Ioi_self_ne_bot
0.000027    13672 and.imp_left
0.000027    13673 set.Ioo_subset_Ico_self
0.000027    13674 set.Ioo_subset_Icc_self
0.000027    13675 Icc_mem_nhds_within_Ioi
0.000027    13676 sup_sdiff_right
0.000027    13677 sdiff_inf
0.000028    13678 sdiff_inf_self_right
0.000027    13679 sdiff_eq_sdiff_iff_inf_eq_inf
0.000027    13680 sdiff_eq_self_iff_disjoint
0.000028    13681 set.diff_eq_self
0.000026    13682 set.singleton_inter_nonempty
0.000027    13683 set.singleton_inter_eq_empty
0.000031    13684 set.diff_singleton_eq_self
0.000028    13685 has_deriv_within_at.equations._eqn_1
0.000029    13686 asymptotics.is_O_of_le
0.000028    13687 normed_field.norm_div
0.000028    13688 div_self
0.000031    13689 asymptotics.is_o.tendsto_0
0.000028    13690 div_mul_cancel_of_imp
0.000026    13691 asymptotics.is_o_iff_tendsto'
0.000027    13692 asymptotics.is_o_iff_tendsto
0.000027    13693 has_fderiv_at_filter_iff_tendsto
0.000027    13694 has_deriv_at_filter_iff_tendsto
0.000027    13695 homeomorph
0.000028    13696 homeomorph.to_equiv
0.000026    13697 homeomorph.has_coe_to_fun
0.000027    13698 add_units
0.000028    13699 add_units.val
0.000026    13700 add_units.has_coe
0.000027    13701 add_units.neg
0.000027    13702 add_units.val_neg
0.000028    13703 add_units.add_group._proof_1
0.000027    13704 add_units.neg_val
0.000027    13705 add_units.add_group._proof_2
0.000027    13706 add_units.cases_on
0.000027    13707 add_units.ext
0.000027    13708 add_units.add_group._proof_3
0.000027    13709 add_units.add_group._proof_4
0.000026    13710 add_units.add_group._proof_5
0.000027    13711 add_units.add_group._proof_6
0.000028    13712 add_units.add_group._proof_7
0.000027    13713 add_units.add_group._proof_8
0.000027    13714 add_units.add_group._proof_9
0.000027    13715 add_units.add_group._proof_10
0.000027    13716 add_units.add_group._proof_11
0.000027    13717 add_units.add_group._proof_12
0.000027    13718 add_units.add_group
0.000027    13719 add_units.add_neg
0.000027    13720 add_units.add_neg_cancel_right
0.000027    13721 add_units.add_right._proof_1
0.000026    13722 add_units.neg_add
0.000027    13723 add_units.neg_add_cancel_right
0.000027    13724 add_units.add_right._proof_2
0.000027    13725 add_units.add_right
0.000028    13726 to_add_units._proof_1
0.000026    13727 to_add_units._proof_2
0.000027    13728 to_add_units._proof_3
0.000027    13729 to_add_units
0.000027    13730 equiv.add_right
0.000028    13731 homeomorph.add_right._proof_1
0.000026    13732 homeomorph.add_right._proof_2
0.000027    13733 homeomorph.add_right._proof_3
0.000027    13734 homeomorph.add_right._proof_4
0.000026    13735 homeomorph.add_right
0.000027    13736 homeomorph.continuous_inv_fun
0.000028    13737 homeomorph.continuous_to_fun
0.000026    13738 homeomorph.symm
0.000028    13739 induced_iff_nhds_eq
0.000027    13740 inducing.nhds_eq_comap
0.000027    13741 inducing_of_inducing_compose
0.000026    13742 homeomorph.continuous
0.000027    13743 homeomorph.symm_apply_apply
0.000027    13744 homeomorph.symm_comp_self
0.000028    13745 induced_id
0.000026    13746 inducing_id
0.000027    13747 homeomorph.inducing
0.000027    13748 homeomorph.injective
0.000027    13749 homeomorph.embedding
0.000027    13750 homeomorph.nhds_eq_comap
0.000027    13751 homeomorph.apply_symm_apply
0.000027    13752 homeomorph.comap_nhds_eq
0.000027    13753 nhds_translation_add_neg
0.000027    13754 nhds_translation
1.528963    13755 filter.tendsto_iff_comap
0.000099    13756 tendsto_inf_principal_nhds_iff_of_forall_eq
0.000027    13757 no_zero_smul_divisors
0.000022    13758 no_zero_smul_divisors.eq_zero_or_eq_zero_of_smul_eq_zero
0.000027    13759 smul_eq_zero
0.000029    13760 units.smul_eq_zero
0.000036    13761 no_zero_smul_divisors.of_division_ring
0.000025    13762 sub_ne_zero
0.000017    13763 has_deriv_at_filter_iff_tendsto_slope
0.000013    13764 has_deriv_within_at_iff_tendsto_slope
0.000014    13765 has_deriv_within_at_iff_tendsto_slope'
0.000014    13766 sdiff_sup
0.000013    13767 sdiff_sdiff_left
0.000014    13768 sdiff_idem
0.000013    13769 has_deriv_within_at_diff_singleton
0.000014    13770 has_deriv_within_at_Ioi_iff_Ici
0.000013    13771 has_deriv_within_at.Ioi_of_Ici
0.000014    13772 Ioi_mem_nhds
0.000013    13773 image_le_of_liminf_slope_right_lt_deriv_boundary'
0.000014    13774 continuous_within_at.tendsto
0.000013    13775 set.maps_to
0.000014    13776 continuous_within_at.tendsto_nhds_within
0.000013    13777 continuous_within_at.comp
0.000013    13778 continuous_on.comp
0.000014    13779 set.subset_preimage_univ
0.000014    13780 continuous.comp_continuous_on
0.000013    13781 continuous_on.add
0.000013    13782 continuous_on.mul
0.000014    13783 continuous_within_at.sub
0.000014    13784 continuous_on.sub
0.000013    13785 has_fderiv_at_filter.has_deriv_at_filter
0.000014    13786 has_fderiv_at_filter.add
0.000013    13787 has_deriv_at_filter.add
0.000014    13788 has_deriv_within_at.add
0.000013    13789 has_fderiv_within_at_iff_has_deriv_within_at
0.000014    13790 has_fderiv_within_at.has_deriv_within_at
0.000013    13791 set.maps_to'
0.000014    13792 set.maps_to_image
0.000013    13793 continuous_within_at.tendsto_nhds_within_image
0.000014    13794 has_fderiv_within_at.continuous_within_at
0.000013    13795 has_fderiv_within_at.comp
0.000014    13796 has_fderiv_at.comp_has_fderiv_within_at
0.000013    13797 is_bounded_bilinear_map.has_fderiv_at
0.000013    13798 has_fderiv_at_filter.prod
0.000014    13799 has_fderiv_within_at.prod
0.000013    13800 has_fderiv_within_at.smul
0.000014    13801 has_deriv_within_at.smul
0.000013    13802 has_deriv_within_at.mul
0.000014    13803 has_fderiv_at_filter_const
0.000013    13804 has_deriv_at_filter_const
0.000014    13805 has_deriv_within_at_const
0.000013    13806 has_deriv_within_at.const_mul
0.000014    13807 has_deriv_at_filter.add_const
0.000014    13808 has_deriv_at_filter.sub_const
0.000013    13809 has_deriv_within_at.sub_const
0.000014    13810 continuous_linear_map.coe_id'
0.000013    13811 sub_sub_sub_cancel_left
0.000014    13812 has_fderiv_at_filter_id
0.000013    13813 has_deriv_at_filter_id
0.000013    13814 has_deriv_within_at_id
0.000014    13815 image_le_of_liminf_slope_right_le_deriv_boundary
0.000013    13816 filter.frequently.mp
0.000014    13817 set.diff_union_self
0.000013    13818 has_deriv_within_at.limsup_norm_slope_le
0.000014    13819 abs_norm_sub_norm_le
0.000013    13820 norm_sub_norm_le
0.000014    13821 has_deriv_within_at.limsup_slope_norm_le
0.000013    13822 sub_pos_of_lt
0.000014    13823 has_deriv_within_at.liminf_right_slope_norm_le
0.000013    13824 image_norm_le_of_norm_deriv_right_le_deriv_boundary'
0.000014    13825 has_deriv_at_filter.tendsto_nhds
0.000013    13826 has_deriv_at.continuous_at
0.000014    13827 has_fderiv_at.has_fderiv_at_filter
0.000013    13828 has_fderiv_at.has_fderiv_within_at
0.000013    13829 has_deriv_at.has_deriv_within_at
0.000014    13830 image_norm_le_of_norm_deriv_right_le_deriv_boundary
0.000014    13831 has_fderiv_at_filter.neg
0.000013    13832 has_deriv_at_filter.neg
0.000013    13833 has_deriv_at_filter.sub
0.000014    13834 has_deriv_within_at.sub
0.000013    13835 has_deriv_within_at_univ
0.000014    13836 has_deriv_at.mul
0.000014    13837 has_deriv_at_const
0.000013    13838 has_deriv_at.sub
0.000014    13839 has_deriv_at_id
0.000013    13840 norm_image_sub_le_of_norm_deriv_right_le_segment
0.000014    13841 has_deriv_within_at.continuous_within_at
0.000013    13842 has_fderiv_within_at_inter'
0.000013    13843 has_deriv_within_at_inter'
0.000014    13844 has_fderiv_within_at.mono
0.000013    13845 has_deriv_within_at.mono
0.000014    13846 has_deriv_within_at.nhds_within
0.000013    13847 norm_image_sub_le_of_norm_deriv_le_segment'
0.000019    13848 norm_image_sub_le_of_norm_deriv_le_segment_01'
0.000014    13849 has_deriv_within_at_iff_has_fderiv_within_at
0.000014    13850 has_fderiv_within_at.comp_has_deriv_within_at
0.000013    13851 segment
0.000014    13852 segment_eq_image
0.000013    13853 segment_eq_image'
0.000014    13854 convex.equations._eqn_1
0.000013    13855 segment.equations._eqn_1
0.000014    13856 segment_eq_image₂
0.000013    13857 convex_iff_segment_subset
0.000014    13858 convex.segment_subset
0.000013    13859 has_deriv_at_filter.const_add
0.000014    13860 has_deriv_at.const_add
0.000013    13861 has_deriv_within_at.smul_const
0.000014    13862 has_deriv_at.smul_const
0.000013    13863 continuous_linear_map.le_of_op_norm_le
0.877348    13864 convex.norm_image_sub_le_of_norm_has_fderiv_within_le
0.000098    13865 has_fderiv_at_filter.sub
0.000027    13866 has_fderiv_within_at.sub
0.000024    13867 continuous_linear_map.has_fderiv_within_at
0.000026    13868 convex.norm_image_sub_le_of_norm_has_fderiv_within_le'
0.000029    13869 set.sep_univ
0.000028    13870 ordered_semimodule
0.000029    13871 convex_on
0.000028    13872 ordered_semimodule.smul_lt_smul_of_pos
0.000029    13873 smul_lt_smul_of_pos
0.000028    13874 smul_le_smul_of_nonneg
0.000028    13875 convex_on.convex_lt
0.000028    13876 linear_ordered_comm_ring.to_ordered_semimodule
0.000027    13877 convex_on_dist
0.000027    13878 convex_univ
0.000027    13879 convex_ball
0.000027    13880 prod.dist_eq
0.000027    13881 ball_prod_same
0.000027    13882 has_strict_fderiv_at_of_has_fderiv_at_of_continuous_at
0.000027    13883 filter.eventually.self_of_nhds
0.000027    13884 eventually_nhds_iff
0.000027    13885 filter.eventually.eventually_nhds
0.000028    13886 eventually_eventually_nhds
0.000027    13887 has_fderiv_within_at_inter
0.000027    13888 has_fderiv_within_at.has_fderiv_at
0.000027    13889 filter.eventually_eq.has_fderiv_at_filter_iff
0.000027    13890 has_fderiv_at_filter.congr_of_eventually_eq
0.000027    13891 has_fderiv_within_at.congr_mono
0.000027    13892 has_fderiv_within_at.congr
0.000028    13893 continuous_linear_equiv
0.000026    13894 continuous_linear_equiv.to_linear_equiv
0.000028    13895 continuous_linear_equiv.to_continuous_linear_map._proof_1
0.000026    13896 continuous_linear_equiv.to_continuous_linear_map._proof_2
0.000027    13897 continuous_linear_equiv.continuous_to_fun
0.000027    13898 continuous_linear_equiv.to_continuous_linear_map
0.000027    13899 continuous_linear_equiv.continuous_linear_map.has_coe
0.000027    13900 linear_equiv.linear_map.has_coe
0.000027    13901 linear_isometry_equiv.to_linear_isometry
0.000028    13902 linear_isometry_equiv.isometry
0.000027    13903 linear_isometry_equiv.continuous
0.000026    13904 isometric
0.000027    13905 isometric.to_equiv
0.000027    13906 isometric.has_coe_to_fun
0.000039    13907 isometry.right_inv
0.000028    13908 isometric.isometry_to_fun
0.000033    13909 isometric.isometry
0.000063    13910 isometric.symm._proof_1
0.000036    13911 isometric.symm
0.000028    13912 linear_isometry_equiv.to_isometric
0.000032    13913 isometric.continuous
0.000027    13914 linear_isometry_equiv.continuous_linear_equiv.has_coe_t._proof_1
0.000027    13915 linear_isometry_equiv.continuous_linear_equiv.has_coe_t
0.000027    13916 linear_isometry_equiv.continuous_linear_map.has_coe_t
0.000027    13917 continuous_linear_equiv.has_coe_to_fun
0.000027    13918 continuous_linear_equiv.symm._proof_1
0.000027    13919 continuous_linear_equiv.symm._proof_2
0.000027    13920 continuous_linear_equiv.symm._proof_3
0.000027    13921 continuous_linear_equiv.symm._proof_4
0.000027    13922 continuous_linear_equiv.continuous_inv_fun
0.000027    13923 continuous_linear_equiv.symm
0.000028    13924 continuous_linear_equiv.symm_apply_apply
0.000026    13925 continuous_linear_equiv.symm_comp_self
0.000027    13926 continuous_linear_map.comp_assoc
0.000027    13927 continuous_linear_equiv.coe_symm_comp_coe
0.000027    13928 continuous_linear_map.id_comp
0.000027    13929 continuous_linear_equiv.has_fderiv_at
0.000027    13930 continuous_linear_equiv.comp_has_fderiv_within_at_iff
0.000026    13931 continuous_linear_equiv.apply_symm_apply
0.000027    13932 continuous_linear_equiv.coe_comp_coe_symm
0.000028    13933 continuous_linear_equiv.comp_has_fderiv_within_at_iff'
0.000026    13934 linear_isometry_equiv.comp_has_fderiv_within_at_iff'
0.000027    13935 coe_fn.equations._eqn_1
0.000027    13936 has_ftaylor_series_up_to_on.fderiv_within
0.000027    13937 has_ftaylor_series_up_to_on.zero_eq
0.000027    13938 has_ftaylor_series_up_to_on.has_fderiv_within_at
0.000027    13939 has_ftaylor_series_up_to_on.has_fderiv_at
0.000026    13940 has_ftaylor_series_up_to_on.eventually_has_fderiv_at
0.000027    13941 linear_isometry_equiv.continuous_at
0.000027    13942 continuous_within_at_inter
0.000027    13943 continuous_within_at.continuous_at
0.000026    13944 continuous_on.continuous_at
0.000027    13945 has_ftaylor_series_up_to_on.cont
0.000027    13946 has_ftaylor_series_up_to_on.has_strict_fderiv_at
0.000028    13947 set.insert_eq_of_mem
0.000026    13948 times_cont_diff_at.has_strict_fderiv_at'
0.000027    13949 times_cont_diff_at.has_strict_deriv_at'
0.000027    13950 proper_space
0.000027    13951 metric.cauchy_iff
0.000027    13952 totally_bounded
0.000027    13953 is_complete
0.000027    13954 ultrafilter
0.000027    13955 ultrafilter.to_filter
0.000027    13956 ultrafilter.filter.has_coe_t
0.000026    13957 ultrafilter.ne_bot'
0.000027    13958 ultrafilter.has_mem
0.000027    13959 filter.empty_nmem_sets
0.000027    13960 ultrafilter.ne_bot
0.000027    13961 ultrafilter.empty_not_mem
1.059390    13962 Sup_insert
0.000097    13963 set.sUnion_insert
0.000028    13964 filter.eventually.and
0.000023    13965 ultrafilter.le_of_le
0.000027    13966 ultrafilter.unique
0.000029    13967 ultrafilter.le_of_inf_ne_bot
0.000029    13968 ultrafilter.compl_not_mem_iff
0.000028    13969 ultrafilter.compl_mem_iff_not_mem
0.000028    13970 ultrafilter.mem_or_compl_mem
0.000032    13971 ultrafilter.em
0.000029    13972 ultrafilter.eventually_or
0.000028    13973 ultrafilter.union_mem_iff
0.000029    13974 ultrafilter.finite_sUnion_mem_iff
0.000028    13975 set.fintype_image._proof_1
0.000031    13976 set.fintype_image
0.000027    13977 set.finite.image
0.000028    13978 set.bex_image_iff
0.000027    13979 ultrafilter.finite_bUnion_mem_iff
0.000027    13980 ultrafilter.cauchy_of_totally_bounded
0.000028    13981 zorn.chain
0.000027    13982 filter.infi_ne_bot_of_directed
0.000027    13983 filter.nonempty_of_ne_bot
0.000027    13984 directed_of_chain
0.000027    13985 refl_of
0.000027    13986 is_refl.swap
0.000027    13987 ge.is_refl
0.000027    13988 set.forall_insert_of_forall
0.000028    13989 zorn.chain_insert
0.000027    13990 zorn.super_chain
0.000027    13991 zorn.succ_chain
0.000027    13992 zorn.chain_closure
0.000027    13993 zorn.max_chain
0.000027    13994 zorn.is_max_chain
0.000027    13995 zorn.chain_closure.drec
0.000027    13996 zorn.succ_chain.equations._eqn_1
0.000023    13997 zorn.succ_spec
0.000027    13998 zorn.succ_increasing
0.000027    13999 decidable.or_iff_not_imp_right
0.000028    14000 or_iff_not_imp_right
0.000029    14001 _private.745429059.chain_closure_succ_total_aux
0.000028    14002 set.sUnion_subset_iff
0.000028    14003 _private.860671655.chain_closure_succ_total
0.000028    14004 zorn.chain_closure_succ_fixpoint
0.000028    14005 zorn.chain_closure_closure
0.000029    14006 zorn.chain_closure_succ_fixpoint_iff
0.000028    14007 zorn.is_max_chain.equations._eqn_1
0.000028    14008 decidable.not_forall_not
0.000028    14009 not_forall_not
0.000028    14010 zorn.super_of_not_max
0.000028    14011 zorn.chain_succ
0.000027    14012 zorn.chain_closure_total
0.000028    14013 zorn.chain_chain_closure
0.000028    14014 zorn.max_chain_spec
0.000028    14015 set.ssubset_def
0.000028    14016 set.ssubset_iff_insert
0.000028    14017 set.ssubset_insert
0.000028    14018 zorn.exists_maximal_of_chains_bounded
0.000028    14019 ultrafilter.exists_le
0.000028    14020 ultrafilter.of
0.000028    14021 ultrafilter.of_le
0.000028    14022 set.nonempty_diff
0.000028    14023 finset.set_bUnion_coe
0.000028    14024 filter.prod_same_eq
0.000028    14025 filter.mem_prod_same_iff
0.000028    14026 supr_supr_eq_left
0.000031    14027 finset.supr_singleton
0.000032    14028 finset.set_bUnion_singleton
0.000027    14029 totally_bounded_iff_filter
0.000029    14030 totally_bounded_iff_ultrafilter
0.000028    14031 filter.forall_ne_bot_le_iff
0.000029    14032 cluster_pt.mono
0.000030    14033 ultrafilter.le_of_inf_ne_bot'
0.000027    14034 cluster_pt.of_le_nhds
0.000026    14035 ultrafilter.cluster_pt_iff
0.000027    14036 compact_iff_ultrafilter_le_nhds
0.000027    14037 le_nhds_of_cauchy_adhp
0.000027    14038 compact_iff_totally_bounded_complete
0.000027    14039 proper_space.compact_ball
0.000027    14040 complete_of_proper
0.000026    14041 submodule.fg
0.000027    14042 is_noetherian
0.000026    14043 finite_dimensional
0.000027    14044 submodule.to_add_submonoid
0.000027    14045 submodule.comap._proof_1
0.000027    14046 submodule.comap._proof_2
0.000026    14047 submodule.comap._proof_3
0.000027    14048 submodule.comap
0.000027    14049 linear_map.ker
0.000027    14050 finsupp.total._proof_1
0.000027    14051 finsupp.total._proof_2
0.000027    14052 finsupp.lsum._proof_1
0.000026    14053 finsupp.sum_map_range_index
0.000027    14054 finsupp.sum_smul_index'
0.000027    14055 const_smul_hom
0.000027    14056 finset.smul_sum
0.000026    14057 finsupp.smul_sum
0.000027    14058 finsupp.lsum._proof_2
0.000027    14059 linear_map.to_add_monoid_hom_injective
0.000027    14060 finsupp.lhom_ext
0.000027    14061 linear_map.congr_fun
0.000027    14062 finsupp.lhom_ext'
0.000027    14063 linear_map.coe_mk
0.000027    14064 finsupp.lsingle_apply
0.000027    14065 finsupp.lsum._proof_3
0.000027    14066 finsupp.lsum._proof_4
0.000027    14067 finsupp.lsum._proof_5
0.000027    14068 finsupp.lsum._proof_6
0.000026    14069 finsupp.lsum
0.000028    14070 finsupp.total._proof_3
0.000027    14071 finsupp.total._proof_4
0.000188    14072 finsupp.total
0.000034    14073 linear_independent
0.000027    14074 is_basis
0.000027    14075 linear_independent.restrict_of_comp_subtype
0.000027    14076 zorn.zorn_partial_order
0.000027    14077 zorn.zorn_subset
0.000027    14078 zorn.zorn_subset₀
0.000027    14079 set.sUnion_range
0.000027    14080 set.sUnion_eq_Union
0.000027    14081 finsupp.supported._proof_1
0.000027    14082 finset.coe_union
0.000027    14083 finsupp.supported._proof_2
0.000027    14084 finsupp.support_smul
0.000027    14085 finsupp.supported._proof_3
0.000032    14086 finsupp.supported
0.000028    14087 linear_independent.equations._eqn_1
0.000028    14088 submodule.complete_lattice._proof_1
0.000028    14089 submodule.complete_lattice._proof_2
0.218371    14090 submodule.complete_lattice._proof_3
0.000096    14091 submodule.complete_lattice._proof_4
0.000026    14092 _private.2290033699.le_Inf'
0.000023    14093 submodule.complete_lattice._match_1
0.000027    14094 submodule.complete_lattice._proof_5
0.000024    14095 submodule.complete_lattice._match_2
0.000022    14096 submodule.complete_lattice._proof_6
0.000028    14097 _private.4179832773.Inf_le'
0.000028    14098 submodule.complete_lattice._proof_7
0.000030    14099 submodule.has_inf._proof_1
0.000029    14100 submodule.has_inf._proof_2
0.000029    14101 submodule.has_inf._proof_3
0.000029    14102 submodule.has_inf
0.000030    14103 submodule.complete_lattice._proof_8
0.000027    14104 submodule.complete_lattice._proof_9
0.000027    14105 submodule.complete_lattice._proof_10
0.000027    14106 submodule.complete_lattice._proof_11
0.000028    14107 submodule.order_bot._proof_1
0.000027    14108 submodule.order_bot._proof_3
0.000027    14109 submodule.order_bot._proof_4
0.000027    14110 submodule.mem_bot
0.000027    14111 submodule.order_bot._proof_5
0.000027    14112 submodule.order_bot
0.000027    14113 submodule.complete_lattice._proof_12
0.000027    14114 submodule.complete_lattice._proof_13
0.000028    14115 submodule.complete_lattice._proof_14
0.000026    14116 submodule.complete_lattice._proof_15
0.000028    14117 submodule.complete_lattice._proof_16
0.000027    14118 submodule.complete_lattice
0.000027    14119 submodule.mem_top
0.000026    14120 submodule.disjoint_def
0.000027    14121 linear_map.mem_ker
0.000028    14122 linear_map.disjoint_ker
0.000027    14123 linear_map.ker_eq_bot'
0.000034    14124 linear_independent_iff
0.000018    14125 finsupp.total_apply
0.000018    14126 finsupp.mem_supported
0.000032    14127 finset.subtype._proof_1
0.000038    14128 finset.subtype._proof_2
0.000029    14129 finset.subtype
0.000031    14130 finset.subtype.equations._eqn_1
0.000027    14131 function.embedding.coe_fn_mk
0.000027    14132 finset.mem_subtype
0.000027    14133 finsupp.subtype_domain._proof_1
0.000027    14134 finsupp.subtype_domain
0.000027    14135 finsupp.support_subtype_domain
0.000027    14136 finset.subtype_eq_empty
0.000027    14137 finsupp.subtype_domain_eq_zero_iff'
0.000028    14138 finsupp.subtype_domain_eq_zero_iff
0.000027    14139 multiset.pmap_eq_map
0.000026    14140 multiset.pmap_eq_map_attach
0.000027    14141 multiset.map_eq_map_of_bij_of_nodup
0.000028    14142 finset.sum_bij
0.000027    14143 finsupp.sum_subtype_domain_index
0.000027    14144 exists_unique
0.000027    14145 quotient.rec_on
0.000027    14146 list.choose_x._match_2
0.000031    14147 list.choose_x._match_1
0.000029    14148 list.choose_x._main
0.000028    14149 list.choose_x
0.000027    14150 exists_of_exists_unique
0.000028    14151 multiset.choose_x._proof_1
0.000032    14152 multiset.choose_x._proof_2
0.000026    14153 multiset.choose_x
0.000028    14154 finset.choose_x
0.000026    14155 finset.choose
0.000027    14156 exists_unique.intro
0.000027    14157 function.embedding.injective
0.000027    14158 finsupp.emb_domain._match_1
0.000027    14159 finsupp.emb_domain._proof_1
0.000027    14160 finset.choose_spec
0.000027    14161 finset.choose_mem
0.000027    14162 ne.irrefl
0.000027    14163 false_of_ne
0.000026    14164 ne_self_iff_false
0.000027    14165 finsupp.emb_domain._proof_2
0.000027    14166 finsupp.emb_domain
0.000027    14167 function.embedding.subtype._proof_1
0.000028    14168 function.embedding.subtype
0.000027    14169 function.injective.eq_iff'
0.000027    14170 finset.choose_property
0.000027    14171 finsupp.emb_domain_apply
0.000027    14172 finsupp.emb_domain_injective
0.000027    14173 finsupp.emb_domain_zero
0.000027    14174 finsupp.emb_domain_eq_zero
0.000027    14175 finsupp.support_emb_domain
0.000027    14176 function.embedding.coe_subtype
0.000027    14177 finsupp.map_domain
0.000027    14178 finsupp.map_domain.equations._eqn_1
0.000027    14179 finsupp.map_domain_apply
0.000027    14180 finsupp.map_domain_notin_range
0.000027    14181 finsupp.emb_domain_notin_range
0.000027    14182 finsupp.emb_domain_eq_map_domain
0.000027    14183 finsupp.sum_map_domain_index
0.000027    14184 linear_independent_comp_subtype
0.000027    14185 linear_independent_subtype
0.000026    14186 linear_independent_of_finite
0.000026    14187 linear_independent_comp_subtype_disjoint
0.000027    14188 linear_independent_subtype_disjoint
0.000028    14189 disjoint.mono_left
0.000027    14190 finsupp.supported_mono
0.000026    14191 linear_independent.mono
0.000027    14192 finsupp.mem_supported'
0.000027    14193 finsupp.supported_empty
0.000027    14194 linear_independent_empty
0.000027    14195 linear_independent_Union_of_directed
0.000026    14196 linear_independent_sUnion_of_directed
0.000027    14197 zorn.chain.total_of_refl
0.000028    14198 zorn.chain.directed_on
0.000027    14199 set.union_singleton
0.000026    14200 nontrivial_iff
0.000027    14201 subsingleton_iff
0.000027    14202 not_nontrivial_iff_subsingleton
0.000028    14203 subsingleton_or_nontrivial
0.366206    14204 linear_independent_of_subsingleton
0.000097    14205 finsupp.map_domain_add
0.000028    14206 finsupp.lmap_domain._proof_1
0.000028    14207 finsupp.map_range_apply
0.000032    14208 finsupp.map_range_zero
0.000030    14209 finsupp.map_domain_zero
0.000030    14210 finsupp.map_range_add
0.000030    14211 finsupp.map_domain_single
0.000031    14212 finsupp.map_domain_smul
0.000031    14213 finsupp.lmap_domain
0.000028    14214 finsupp.lmap_domain_apply
0.000028    14215 finsupp.total_comp
0.000027    14216 linear_independent.comp
0.000027    14217 linear_independent_equiv
0.000026    14218 linear_independent_equiv'
0.000028    14219 linear_independent_subtype_range
0.000027    14220 finsupp.single_injective
0.000027    14221 finsupp.single_eq_single_iff
0.000026    14222 finsupp.add_comm_group._proof_1
0.000027    14223 finsupp.add_comm_group._proof_2
0.000030    14224 finsupp.add_comm_group._proof_3
0.000028    14225 finsupp.add_comm_group._proof_4
0.000028    14226 finsupp.add_comm_group._proof_5
0.000029    14227 finsupp.add_comm_group._proof_6
0.000028    14228 finsupp.add_comm_group
0.000029    14229 eq_add_of_sub_eq'
0.000031    14230 linear_independent.injective
0.000027    14231 linear_independent.to_subtype_range
0.000028    14232 linear_independent.to_subtype_range'
0.000027    14233 sum.elim
0.000027    14234 sum.inl_injective
0.000027    14235 sum.inr_injective
0.000031    14236 add_submonoid.map._proof_1
0.000029    14237 add_submonoid.map._proof_2
0.000027    14238 add_submonoid.map
0.000029    14239 submodule.map._proof_1
0.000028    14240 submodule.map._proof_2
0.000031    14241 submodule.map._proof_3
0.000026    14242 submodule.map
0.000028    14243 submodule.span_eq_of_le
0.000027    14244 finsupp.single_mem_supported
0.000027    14245 finsupp.total_single
0.000026    14246 submodule.map_le_iff_le_comap
0.000028    14247 add_submonoid.list_sum_mem
0.000027    14248 add_submonoid.multiset_sum_mem
0.000026    14249 add_submonoid.sum_mem
0.000027    14250 submodule.sum_mem
0.000029    14251 linear_map.coe_smul_right
0.000029    14252 linear_map.id_coe
0.000028    14253 finsupp.span_eq_map_total
0.000028    14254 submodule.mem_map
0.000028    14255 finsupp.mem_span_iff_total
0.000028    14256 set.inter_eq_Inter
0.000031    14257 set_like.ext
0.000028    14258 submodule.ext
0.000026    14259 set.subset_Inter_iff
0.000027    14260 submodule.Inf_coe
0.000027    14261 infi_range
0.000027    14262 set.bInter_range
0.000028    14263 submodule.infi_coe
0.000027    14264 submodule.mem_infi
0.000028    14265 finsupp.supported_Inter
0.000027    14266 infi_bool_eq
0.000026    14267 finsupp.supported_inter
0.000027    14268 set.disjoint_iff_inter_eq_empty
0.000027    14269 finsupp.disjoint_supported_supported
0.000028    14270 submodule.mem_inf
0.000026    14271 linear_independent_iff_injective_total
0.000028    14272 linear_independent.injective_total
0.000027    14273 linear_independent.disjoint_span_image
0.000027    14274 true_eq_false_of_false
0.000027    14275 set.is_compl_range_inl_range_inr
0.000027    14276 finsupp.lapply._proof_1
0.000027    14277 finsupp.lapply._proof_2
0.000027    14278 finsupp.lapply
0.000026    14279 finsupp.lapply_apply
0.000027    14280 linear_map.map_sum
0.000027    14281 linear_independent_iff'
0.000027    14282 submodule.disjoint_def'
0.000024    14283 sub_mul_action
0.000023    14284 sub_mul_action.carrier
0.000027    14285 sub_mul_action.cases_on
0.000027    14286 sub_mul_action.set_like._proof_1
0.000027    14287 sub_mul_action.set_like
0.000027    14288 neg_one_smul
0.000027    14289 sub_mul_action.smul_mem'
0.000027    14290 sub_mul_action.smul_mem
0.000027    14291 sub_mul_action.neg_mem
0.000031    14292 submodule.to_sub_mul_action
0.000028    14293 submodule.neg_mem
0.000028    14294 sum.inl.inj_arrow
0.000028    14295 sum.inr.inj_arrow
0.000028    14296 sum.decidable_eq
0.000031    14297 finset.disjoint_filter
0.000027    14298 set.disjoint_left
0.000027    14299 finset.filter_or
0.000027    14300 set.mem_union
0.000027    14301 set.range_inl_union_range_inr
0.000028    14302 finset.filter_true
0.000027    14303 linear_independent_sum
0.000027    14304 linear_independent.sum_type
0.000027    14305 sum.exists
0.000026    14306 sum.elim_inl
0.000027    14307 sum.elim_inr
0.000027    14308 set.sum.elim_range
0.000031    14309 linear_independent.union
0.000028    14310 unique.forall_iff
0.000028    14311 finsupp.unique_single
0.000028    14312 finsupp.total_unique
0.000028    14313 division_ring.to_nontrivial
0.000028    14314 finsupp.unique_ext
0.000031    14315 linear_independent_unique_iff
0.000027    14316 linear_independent_unique
0.000028    14317 linear_independent_singleton
0.000026    14318 submodule.mem_span_singleton
0.000027    14319 sub_mul_action.smul_of_tower_mem
0.000028    14320 sub_mul_action.smul_mem_iff'
0.000027    14321 sub_mul_action.smul_mem_iff
0.000027    14322 submodule.smul_mem_iff
0.000027    14323 submodule.disjoint_span_singleton
0.000027    14324 submodule.disjoint_span_singleton'
0.000031    14325 linear_independent.insert
0.000028    14326 set.subset_insert
0.000029    14327 exists_linear_independent
0.000029    14328 exists_subset_is_basis
0.000028    14329 exists_is_basis
0.216881    14330 is_irrefl
0.000097    14331 is_strict_order
0.000028    14332 well_founded.dcases_on
0.000028    14333 rel_embedding.swap._proof_1
0.000028    14334 rel_embedding.swap
0.000030    14335 is_trichotomous
0.000029    14336 is_asymm
0.000028    14337 is_trichotomous.trichotomous
0.000028    14338 trichotomous
0.000026    14339 is_irrefl.irrefl
0.000028    14340 irrefl
0.000027    14341 is_asymm.asymm
0.000027    14342 asymm
0.000028    14343 is_asymm.is_irrefl
0.000027    14344 rel_embedding.of_monotone._proof_1
0.000027    14345 rel_embedding.of_monotone._proof_2
0.000027    14346 rel_embedding.of_monotone
0.000027    14347 has_lt.lt.is_trichotomous
0.000028    14348 is_asymm_of_is_trans_of_is_irrefl
0.000027    14349 is_strict_order.to_is_trans
0.000027    14350 is_strict_order.to_is_irrefl
0.000027    14351 rel_embedding.nat_lt._proof_1
0.000027    14352 rel_embedding.nat_lt._proof_2
0.000027    14353 rel_embedding.nat_lt
0.000027    14354 irrefl_of
0.000027    14355 is_irrefl.swap
0.000027    14356 is_strict_order.swap
0.000026    14357 rel_embedding.nat_gt
0.000027    14358 nat.iterate._main
0.000027    14359 nat.iterate
0.000027    14360 function.iterate_succ
0.000027    14361 function.semiconj
0.000028    14362 function.semiconj.comp_eq
0.000027    14363 function.commute
0.000026    14364 function.semiconj.id_right
0.000027    14365 function.semiconj.eq
0.000027    14366 function.semiconj.comp_right
0.000027    14367 function.semiconj.iterate_right
0.000026    14368 function.commute.iterate_right
0.000027    14369 function.commute.refl
0.000028    14370 function.commute.self_iterate
0.000026    14371 function.iterate_succ'
0.000028    14372 rel_embedding.well_founded_iff_no_descending_seq
0.000026    14373 has_lt.lt.is_irrefl
0.000028    14374 gt.is_irrefl
0.000027    14375 has_lt.lt.is_trans
0.000026    14376 gt.is_trans
0.000027    14377 gt.is_strict_order
0.000027    14378 complete_lattice.is_compact_element
0.000027    14379 complete_lattice.is_Sup_finite_compact
0.000028    14380 complete_lattice.is_sup_closed_compact
0.000027    14381 well_founded.has_min
0.000027    14382 well_founded.well_founded_iff_has_min
0.000027    14383 well_founded.eq_iff_not_lt_of_le
0.000023    14384 well_founded.well_founded_iff_has_max'
0.000028    14385 finset.subset_insert
0.000028    14386 finset.sup_eq_Sup
0.000027    14387 is_least.mono
0.000027    14388 upper_bounds_mono_set
0.000027    14389 is_lub.mono
0.000027    14390 Sup_le_Sup
0.000027    14391 complete_lattice.well_founded.is_Sup_finite_compact
0.000027    14392 and_congr_left'
0.000028    14393 set.eq_singleton_iff_unique_mem
0.000026    14394 and_congr_left
0.000027    14395 set.eq_singleton_iff_nonempty_unique_mem
0.000027    14396 Sup_eq_bot
0.000028    14397 eq_singleton_bot_of_Sup_eq_bot_of_nonempty
0.000027    14398 finset.sup_of_mem
0.000027    14399 finset.sup'._match_1
0.000027    14400 finset.sup'
0.000027    14401 finset.sup'.equations._eqn_1
0.000027    14402 finset.coe_sup'
0.000027    14403 finset.sup'_le
0.000027    14404 finset.le_sup'
0.000027    14405 finset.sup'_eq_sup
0.000027    14406 with_bot.rec_bot_coe
0.000027    14407 finset.sup_induction
0.000027    14408 finset.sup'_induction
0.000027    14409 finset.sup_closed_of_sup_closed
0.000026    14410 complete_lattice.is_Sup_finite_compact.is_sup_closed_compact
0.000027    14411 rel_hom
0.000027    14412 rel_hom.to_fun
0.000027    14413 rel_hom.has_coe_to_fun
0.000027    14414 le_or_lt
0.000027    14415 strict_mono.monotone
0.000027    14416 rel_hom.map_rel'
0.000027    14417 rel_hom.map_rel
0.000027    14418 rel_hom.swap._proof_1
0.000027    14419 rel_hom.swap
0.000027    14420 rel_hom.map_sup
0.000027    14421 rel_embedding.to_rel_hom._proof_1
0.000028    14422 rel_embedding.to_rel_hom
0.000027    14423 complete_lattice.is_sup_closed_compact.well_founded
0.000027    14424 complete_lattice.is_Sup_finite_compact_iff_all_elements_compact
0.000027    14425 complete_lattice.well_founded_characterisations
0.000027    14426 is_noetherian.dcases_on
0.000027    14427 is_lub.supr_eq
0.000027    14428 galois_connection.l_supr
0.000026    14429 submodule.gi._proof_1
0.000027    14430 submodule.gi._proof_2
0.000027    14431 submodule.gi._proof_3
0.000027    14432 submodule.gi
0.000027    14433 submodule.span_Union
0.000026    14434 set.bUnion_of_singleton
0.000027    14435 submodule.span_eq_supr_of_singleton_spans
0.000027    14436 finset.sup_le_of_le_directed
0.000027    14437 set.nonempty_of_mem
0.000027    14438 multiset.sup_singleton
0.000027    14439 finset.sup_singleton
0.000027    14440 complete_lattice.is_compact_element_iff_le_of_directed_Sup_le
0.000027    14441 finset.image_empty
0.000027    14442 finset.image_union
0.000027    14443 finset.image_singleton
0.000027    14444 finset.image_insert
0.000026    14445 finset.sup_finset_image
0.000041    14446 complete_lattice.finset_sup_compact_of_compact
0.000028    14447 Sup_eq_supr'
0.000028    14448 submodule.span_eq
0.000027    14449 submodule.coe_supr_of_directed
0.000027    14450 submodule.mem_supr_of_directed
0.000028    14451 submodule.mem_Sup_of_directed
0.000026    14452 submodule.mem_span_singleton_self
0.264011    14453 submodule.singleton_span_is_compact_element
0.000093    14454 infi_image
0.000028    14455 supr_image
0.000027    14456 finset.subset_image_iff
0.000030    14457 submodule.fg_iff_compact
0.000029    14458 is_noetherian_iff_well_founded
0.000029    14459 well_founded_submodule_gt
0.000030    14460 nat_embedding_aux._main._pack._wf_rec_mk_dec_tactic._aux_1
0.000029    14461 _private.3058396315.nat_embedding_aux._main._pack
0.000028    14462 _private.3058396315.nat_embedding_aux._main
0.000027    14463 _private.3058396315.nat_embedding_aux
0.000027    14464 _private.3058396315.nat_embedding_aux._main._pack.equations._eqn_1
0.000027    14465 _private.3058396315.nat_embedding_aux._main.equations._eqn_1
0.000027    14466 _private.3058396315.nat_embedding_aux.equations._eqn_1
0.000026    14467 _private.2433852515.nat_embedding_aux_injective
0.000028    14468 infinite.nat_embedding
0.000027    14469 submodule.has_add._proof_1
0.000027    14470 submodule.has_add
0.000027    14471 add_submonoid.has_add._proof_1
0.000027    14472 add_submonoid.has_add
0.000024    14473 add_submonoid.has_zero
0.000024    14474 add_submonoid.to_add_comm_monoid._proof_1
0.000026    14475 add_submonoid.to_add_comm_monoid._proof_2
0.000027    14476 add_submonoid.to_add_comm_monoid._proof_3
0.000027    14477 add_submonoid.to_add_comm_monoid
0.000030    14478 submodule.add_comm_monoid._proof_1
0.000028    14479 submodule.has_zero
0.000029    14480 submodule.add_comm_monoid._proof_2
0.000028    14481 submodule.add_comm_monoid._proof_3
0.000028    14482 submodule.add_comm_monoid._proof_4
0.000029    14483 submodule.add_comm_monoid
0.000031    14484 submodule.smul_of_tower_mem
0.000027    14485 submodule.has_scalar._proof_1
0.000027    14486 submodule.has_scalar
0.000026    14487 sub_mul_action.has_scalar'._proof_1
0.000028    14488 sub_mul_action.has_scalar'
0.000027    14489 sub_mul_action.mul_action'._proof_1
0.000027    14490 sub_mul_action.mul_action'._proof_2
0.000026    14491 sub_mul_action.mul_action'
0.000027    14492 submodule.semimodule'._proof_1
0.000027    14493 submodule.semimodule'._proof_2
0.000027    14494 set_coe.ext
0.000026    14495 submodule.coe_smul_of_tower
0.000027    14496 submodule.coe_add
0.000027    14497 submodule.semimodule'._proof_3
0.000026    14498 submodule.coe_zero
0.000027    14499 submodule.semimodule'._proof_4
0.000027    14500 submodule.semimodule'._proof_5
0.000027    14501 submodule.semimodule'._proof_6
0.000027    14502 submodule.semimodule'
0.000027    14503 submodule.semimodule._proof_1
0.000027    14504 submodule.semimodule
0.000031    14505 linear_map.range
0.000029    14506 submodule.coe_mk
0.000027    14507 linear_map.cod_restrict._proof_1
0.000028    14508 linear_map.cod_restrict._proof_2
0.000029    14509 linear_map.cod_restrict
0.000031    14510 linear_map.range_coe
0.000028    14511 linear_map.mem_range
0.000026    14512 linear_map.mem_range_self
0.000027    14513 linear_map.range_restrict
0.000027    14514 linear_equiv.of_left_inverse._proof_1
0.000027    14515 linear_equiv.of_left_inverse._proof_2
0.000027    14516 submodule.inhabited
0.000027    14517 submodule.subtype._proof_1
0.000027    14518 submodule.coe_smul
0.000026    14519 submodule.subtype._proof_2
0.000027    14520 submodule.subtype
0.000028    14521 linear_equiv.of_left_inverse._match_1
0.000026    14522 linear_equiv.of_left_inverse._proof_3
0.000027    14523 linear_equiv.of_left_inverse
0.000026    14524 function.has_left_inverse
0.000027    14525 function.injective.has_left_inverse
0.000027    14526 add_subgroup.sub_mem
0.000027    14527 submodule.to_add_subgroup._proof_1
0.000027    14528 submodule.to_add_subgroup._proof_2
0.000027    14529 submodule.to_add_subgroup._proof_3
0.000027    14530 submodule.to_add_subgroup
0.000027    14531 submodule.sub_mem
0.000027    14532 linear_map.disjoint_ker'
0.000027    14533 linear_map.ker_eq_bot
0.000032    14534 linear_equiv.of_injective._proof_1
0.000028    14535 linear_equiv.of_injective._proof_2
0.000028    14536 linear_equiv.of_injective
0.000028    14537 linear_equiv.of_top._proof_1
0.000028    14538 linear_equiv.of_top._proof_2
0.000032    14539 linear_equiv.of_top._proof_3
0.000026    14540 linear_equiv.of_top._match_1
0.000027    14541 linear_equiv.of_top._proof_4
0.000027    14542 linear_equiv.of_top._proof_5
0.000027    14543 linear_equiv.of_top
0.000027    14544 linear_equiv.of_bijective
0.000028    14545 add_subgroup.has_add
0.000027    14546 add_subgroup.has_zero
0.000027    14547 add_subgroup.has_neg._proof_1
0.000027    14548 add_subgroup.has_neg
0.000027    14549 add_subgroup.has_sub._proof_1
0.000026    14550 add_subgroup.has_sub
0.000027    14551 add_subgroup.to_add_comm_group._proof_1
0.000028    14552 add_subgroup.to_add_comm_group._proof_2
0.000026    14553 add_subgroup.to_add_comm_group._proof_3
0.000027    14554 add_subgroup.to_add_comm_group._proof_4
0.000027    14555 add_subgroup.to_add_comm_group._proof_5
0.000027    14556 add_subgroup.to_add_comm_group
0.332255    14557 submodule.add_comm_group._proof_1
0.000096    14558 submodule.add_comm_group._proof_2
0.000027    14559 submodule.add_comm_group._proof_3
0.000029    14560 submodule.has_neg._proof_1
0.000024    14561 submodule.has_neg
0.000024    14562 submodule.add_comm_group._proof_4
0.000027    14563 submodule.add_comm_group._proof_5
0.000029    14564 submodule.add_comm_group._proof_6
0.000030    14565 submodule.add_comm_group
0.000028    14566 finsupp.range_total
0.000029    14567 linear_independent.total_equiv._proof_1
0.000029    14568 linear_map.ker.equations._eqn_1
0.000027    14569 linear_map.comap_cod_restrict
0.000028    14570 submodule.gc_map_comap
0.000027    14571 submodule.map_bot
0.000027    14572 linear_map.ker_cod_restrict
0.000031    14573 linear_independent.total_equiv._proof_2
0.000028    14574 linear_map.range.equations._eqn_1
0.000029    14575 linear_map.cod_restrict_apply
0.000027    14576 submodule.mem_comap
0.000029    14577 submodule.subtype_apply
0.000031    14578 linear_map.map_cod_restrict
0.000153    14579 linear_map.range_le_iff_comap
0.000031    14580 submodule.comap_top
0.000027    14581 submodule.map_top
0.000027    14582 submodule.map_comap_subtype
0.000028    14583 submodule.range_subtype
0.000031    14584 linear_independent.total_equiv._proof_3
0.000028    14585 linear_independent.total_equiv
0.000028    14586 linear_independent.repr
0.000029    14587 finsupp.single_of_emb_domain_single
0.000027    14588 finsupp.total_emb_domain
0.000029    14589 finsupp.total_map_domain
0.000031    14590 linear_independent.total_repr
0.000027    14591 surjective_of_linear_independent_of_span
0.000027    14592 subtype.mem
0.000030    14593 eq_of_linear_independent_of_span_subtype
0.000029    14594 le_of_span_le_span
0.000028    14595 submodule.span_mono
0.000028    14596 span_le_span_iff
0.000028    14597 set.image_subset_image_iff
0.000028    14598 finite_of_linear_independent
0.000030    14599 finite_dimensional.exists_is_basis_finite
0.000027    14600 finite_dimensional.exists_is_basis_finset
0.000027    14601 cardinal.is_equivalent._match_1
0.000027    14602 cardinal.is_equivalent._match_2
0.000027    14603 cardinal.is_equivalent._match_3
0.000027    14604 cardinal.is_equivalent._proof_1
0.000027    14605 cardinal.is_equivalent
0.000027    14606 cardinal
0.000027    14607 function.embedding.trans._proof_1
0.000027    14608 function.embedding.trans
0.000027    14609 function.embedding.congr
0.000027    14610 cardinal.has_le._match_1
0.000027    14611 cardinal.has_le._match_2
0.000032    14612 cardinal.has_le._match_3
0.000028    14613 cardinal.has_le._match_4
0.000029    14614 cardinal.has_le._proof_1
0.000028    14615 cardinal.has_le
0.000027    14616 function.injective_id
0.000031    14617 function.embedding.refl
0.000027    14618 cardinal.linear_order._proof_1
0.000027    14619 cardinal.linear_order._proof_2
0.000030    14620 cardinal.linear_order._proof_3
0.000029    14621 lfp
0.000027    14622 or_eq_of_eq_false_left
0.000028    14623 and_eq_of_eq_false_left
0.000029    14624 and_eq_of_eq_false_right
0.000028    14625 set.image_union
0.000031    14626 lfp_le
0.000026    14627 le_lfp
0.000027    14628 lfp_eq
0.000027    14629 function.embedding.schroeder_bernstein
0.000027    14630 function.embedding.antisymm
0.000026    14631 cardinal.linear_order._proof_4
0.000027    14632 ulift
0.000026    14633 ulift.down
0.000031    14634 ulift.cases_on
0.000028    14635 ulift.up_down
0.000028    14636 equiv.ulift._proof_1
0.000029    14637 equiv.ulift
0.000028    14638 _private.2812805445.sets
0.000028    14639 zorn.chain.total
0.000030    14640 function.embedding.min_injective
0.000027    14641 function.embedding.total
0.000027    14642 cardinal.linear_order._proof_5
0.000031    14643 cardinal.linear_order._proof_6
0.000028    14644 cardinal.linear_order._proof_7
0.000028    14645 cardinal.linear_order._proof_8
0.000028    14646 cardinal.linear_order._proof_9
0.000028    14647 cardinal.linear_order
0.000031    14648 quot.out
0.000027    14649 quotient.out
0.000027    14650 cardinal.min._proof_1
0.000027    14651 cardinal.min
0.000027    14652 vector_space.dim._proof_1
0.000027    14653 cardinal.mk
0.000026    14654 vector_space.dim
0.000027    14655 cardinal.lift._match_1
0.000027    14656 cardinal.lift._proof_1
0.000026    14657 cardinal.lift
0.000027    14658 cardinal.omega
0.000027    14659 cardinal.lift_id'
0.000028    14660 cardinal.lift_id
0.000027    14661 cardinal.min_eq
0.000027    14662 cardinal.mk_range_eq
0.000031    14663 is_basis.injective
0.000029    14664 sum.map._main
0.000027    14665 sum.map
0.000028    14666 sum.map_map
0.000028    14667 sum.map_id_id
0.000031    14668 equiv.sum_congr._proof_1
0.000027    14669 equiv.sum_congr._proof_2
0.000027    14670 equiv.sum_congr
0.000027    14671 cardinal.has_add._match_1
0.000027    14672 cardinal.has_add._match_2
0.000027    14673 cardinal.has_add._proof_1
0.000027    14674 cardinal.has_add
0.000027    14675 equiv.sum_assoc._proof_1
0.000028    14676 equiv.sum_assoc._proof_2
0.000026    14677 equiv.sum_assoc
0.000027    14678 cardinal.comm_semiring._proof_1
0.000027    14679 pempty
0.000027    14680 cardinal.has_zero
0.000027    14681 sum.swap._main
0.000027    14682 sum.swap
0.100031    14683 sum.swap_swap
0.000091    14684 equiv.sum_comm
0.000036    14685 pempty.cases_on
0.000033    14686 equiv.sum_pempty._proof_1
0.000034    14687 equiv.sum_pempty._proof_2
0.000029    14688 equiv.sum_pempty
0.000027    14689 equiv.pempty_sum
0.000029    14690 _private.837136375.zero_add
0.000027    14691 _private.1036708209.add_comm
0.000027    14692 cardinal.comm_semiring._proof_2
0.000028    14693 prod.map_mk
0.000027    14694 equiv.prod_congr._match_1
0.000027    14695 equiv.prod_congr._proof_1
0.000027    14696 equiv.prod_congr._match_2
0.000027    14697 equiv.prod_congr._proof_2
0.000027    14698 equiv.prod_congr
0.000027    14699 cardinal.has_mul._match_1
0.000028    14700 cardinal.has_mul._match_2
0.000027    14701 cardinal.has_mul._proof_1
0.000030    14702 cardinal.has_mul
0.000028    14703 equiv.prod_assoc._match_1
0.000028    14704 equiv.prod_assoc._proof_1
0.000028    14705 equiv.prod_assoc._match_2
0.000028    14706 equiv.prod_assoc._proof_2
0.000028    14707 equiv.prod_assoc
0.000031    14708 cardinal.comm_semiring._proof_3
0.000027    14709 cardinal.has_one
0.000027    14710 equiv.prod_comm._match_1
0.000027    14711 equiv.prod_comm._proof_1
0.000027    14712 equiv.prod_comm._match_2
0.000027    14713 equiv.prod_comm._proof_2
0.000027    14714 equiv.prod_comm
0.000073    14715 equiv.prod_punit._match_1
0.000028    14716 equiv.prod_punit._proof_1
0.000028    14717 equiv.prod_punit._proof_2
0.000027    14718 equiv.prod_punit
0.000027    14719 equiv.punit_prod
0.000027    14720 _private.1636553131.one_mul
0.000027    14721 _private.1264044441.mul_comm
0.000027    14722 cardinal.comm_semiring._proof_4
0.000027    14723 equiv.equiv_pempty._proof_1
0.000027    14724 equiv.equiv_pempty._proof_2
0.000027    14725 equiv.equiv_pempty
0.000027    14726 equiv.pempty_prod._match_1
0.000027    14727 equiv.pempty_prod._proof_1
0.000027    14728 equiv.pempty_prod
0.000027    14729 _private.1795754945.zero_mul
0.000027    14730 cardinal.comm_semiring._proof_5
0.000027    14731 equiv.sum_prod_distrib._match_1
0.000027    14732 equiv.sum_prod_distrib._match_2
0.000027    14733 equiv.sum_prod_distrib._proof_1
0.000027    14734 equiv.sum_prod_distrib._proof_2
0.000027    14735 equiv.sum_prod_distrib
0.000027    14736 equiv.prod_sum_distrib
0.000027    14737 _private.234044759.left_distrib
0.000027    14738 cardinal.comm_semiring._proof_6
0.000027    14739 cardinal.comm_semiring
0.000026    14740 function.embedding.of_not_nonempty._proof_1
0.000027    14741 function.embedding.of_not_nonempty._proof_2
0.000027    14742 function.embedding.of_not_nonempty
0.000028    14743 pempty.elim._main
0.000027    14744 pempty.elim
0.000027    14745 cardinal.zero_le
0.000027    14746 cardinal.order_bot
0.000027    14747 function.embedding.sum_map._match_1
0.000028    14748 function.embedding.sum_map._proof_1
0.000026    14749 function.embedding.sum_map
0.000032    14750 cardinal.add_le_add
0.000028    14751 cardinal.add_le_add_left
0.000029    14752 cardinal.canonically_ordered_comm_semiring._proof_1
0.000029    14753 cardinal.canonically_ordered_comm_semiring._proof_2
0.000024    14754 equiv.set.union'._proof_1
0.000024    14755 equiv.set.union'._proof_2
0.000030    14756 equiv.set.union'._match_1
0.000028    14757 equiv.set.union'._match_1._proof_1
0.000027    14758 equiv.set.union'._match_1.equations._eqn_1
0.000028    14759 equiv.set.union'._match_1._proof_2
0.000027    14760 equiv.set.union'._match_1.equations._eqn_2
0.000027    14761 equiv.set.union'._match_2
0.000026    14762 equiv.set.union'._proof_3
0.000027    14763 equiv.set.union'._proof_4
0.000027    14764 equiv.set.union'
0.000028    14765 equiv.set.union._proof_1
0.000026    14766 equiv.set.union._proof_2
0.000027    14767 equiv.set.union
0.000027    14768 equiv.set.sum_compl._proof_1
0.000027    14769 equiv.set.of_eq._proof_1
0.000027    14770 equiv.set.of_eq._proof_2
0.000026    14771 equiv.set.of_eq._proof_3
0.000028    14772 equiv.set.of_eq._proof_4
0.000027    14773 equiv.set.of_eq
0.000026    14774 equiv.set.sum_compl._proof_2
0.000027    14775 equiv.set.sum_compl
0.000027    14776 cardinal.le_iff_exists_add
0.000027    14777 empty
0.000027    14778 equiv.equiv_empty._proof_1
0.000027    14779 equiv.equiv_empty._proof_2
0.000027    14780 equiv.equiv_empty
0.000027    14781 equiv.empty_of_not_nonempty._proof_1
0.000027    14782 equiv.empty_of_not_nonempty
0.000027    14783 equiv.empty_equiv_pempty._proof_1
0.000027    14784 equiv.empty_equiv_pempty
0.000027    14785 cardinal.ne_zero_iff_nonempty
0.000027    14786 cardinal.eq_zero_or_eq_zero_of_mul_eq_zero
0.000026    14787 cardinal.canonically_ordered_comm_semiring
0.000027    14788 cardinal.lift_umax
0.000027    14789 cardinal.lift_mk_le
0.000027    14790 cardinal.lift_le
0.000028    14791 cardinal.lift_inj
0.000027    14792 cardinal.lift_lift
0.000026    14793 cardinal.lift_max
0.000027    14794 cardinal.lift_mk_eq
0.000027    14795 cardinal.mk_range_eq_of_injective
0.000027    14796 is_basis.repr._proof_1
0.000031    14797 submodule.eq_top_iff'
0.000028    14798 is_basis.mem_span
0.000028    14799 is_basis.repr
0.000028    14800 cardinal.sum
0.163007    14801 function.embedding.of_surjective
0.000100    14802 cardinal.mk_le_of_surjective
0.000028    14803 set.sigma_to_Union._proof_1
0.000024    14804 set.sigma_to_Union
0.000029    14805 set.sigma_to_Union_surjective
0.000032    14806 equiv.sigma_congr_right._match_1
0.000029    14807 equiv.sigma_congr_right._proof_1
0.000028    14808 equiv.sigma_congr_right._match_2
0.000028    14809 equiv.sigma_congr_right._proof_2
0.000028    14810 equiv.sigma_congr_right
0.000027    14811 quot.out_eq
0.000027    14812 cardinal.sum_mk
0.000027    14813 cardinal.mk_Union_le_sum_mk
0.000027    14814 sigma.map
0.000027    14815 function.injective.sigma_map
0.000027    14816 function.embedding.sigma_map._proof_1
0.000030    14817 function.embedding.sigma_map
0.000028    14818 cardinal.sum_le_sum
0.000028    14819 cardinal.lift_lt
0.000028    14820 function.embedding.equiv_of_surjective._proof_1
0.000028    14821 function.embedding.equiv_of_surjective
0.000030    14822 function.embedding.cod_restrict._proof_1
0.000028    14823 function.embedding.cod_restrict
0.000027    14824 cardinal.lift_down
0.000026    14825 cardinal.lt_lift_iff
0.000028    14826 cardinal.le_mk_iff_exists_set
0.000027    14827 equiv.pempty_equiv_pempty
0.000026    14828 cardinal.lift_zero
0.000027    14829 cardinal.lift_add
0.000027    14830 equiv.punit_equiv_punit._proof_1
0.000027    14831 equiv.punit_equiv_punit._proof_2
0.000027    14832 equiv.punit_equiv_punit
0.000027    14833 cardinal.lift_one
0.000026    14834 cardinal.lift_nat_cast
0.000027    14835 equiv.pempty_of_not_nonempty._proof_1
0.000028    14836 equiv.pempty_of_not_nonempty
0.000026    14837 sigma.fintype._match_1
0.000032    14838 sigma.fintype._proof_1
0.000029    14839 sigma.fintype
0.000028    14840 ulift.fintype
0.000028    14841 equiv.sum_equiv_sigma_bool._match_1
0.000031    14842 equiv.sum_equiv_sigma_bool._proof_1
0.000027    14843 equiv.sum_equiv_sigma_bool._proof_2
0.000028    14844 equiv.sum_equiv_sigma_bool
0.000027    14845 sum.fintype
0.000024    14846 punit.fintype
0.000023    14847 trunc.out
0.000026    14848 fintype.equiv_fin._proof_1
0.000028    14849 fintype.equiv_fin._proof_2
0.000027    14850 fintype.equiv_fin_of_forall_mem_list._proof_1
0.000027    14851 fintype.equiv_fin_of_forall_mem_list._proof_2
0.000027    14852 fintype.equiv_fin_of_forall_mem_list._proof_3
0.000026    14853 list.nth_le_of_mem
0.000027    14854 list.pairwise_iff_nth_le
0.000027    14855 list.nodup_iff_nth_le_inj
0.000027    14856 fintype.equiv_fin_of_forall_mem_list._match_1
0.000026    14857 fintype.equiv_fin_of_forall_mem_list._proof_4
0.000028    14858 fintype.equiv_fin_of_forall_mem_list
0.000027    14859 fintype.equiv_fin._proof_3
0.000027    14860 fintype.equiv_fin
0.000027    14861 fintype.card_eq
0.000031    14862 multiset.sum_zero
0.000028    14863 multiset.card_join
0.000028    14864 multiset.card_bind
0.000028    14865 multiset.card_sigma
0.000028    14866 finset.card_sigma
0.000031    14867 fintype.card_sigma
0.000028    14868 fintype.card_sum
0.000026    14869 fintype.card_punit
0.000028    14870 cardinal.mk_fin
0.000026    14871 cardinal.lift_mk_fin
0.000027    14872 cardinal.fintype_card
0.000027    14873 equiv.arrow_congr._proof_1
0.000028    14874 equiv.arrow_congr._proof_2
0.000026    14875 equiv.arrow_congr
0.000032    14876 cardinal.power._match_1
0.000028    14877 cardinal.power._match_2
0.000028    14878 cardinal.power._proof_1
0.000028    14879 cardinal.power
0.000031    14880 cardinal.has_pow
0.000027    14881 equiv.Prop_equiv_bool._proof_1
0.000027    14882 bool.to_bool_coe
0.000027    14883 equiv.Prop_equiv_bool._proof_2
0.000027    14884 equiv.Prop_equiv_bool
0.000027    14885 cardinal.prop_eq_two
0.000027    14886 ulift.no_confusion_type
0.000028    14887 ulift.no_confusion
0.000027    14888 ulift.up.inj
0.000027    14889 iff_not_self
0.000031    14890 function.cantor_surjective
0.000028    14891 function.cantor_injective
0.000029    14892 ulift.up.inj_arrow
0.000028    14893 cardinal.cantor
0.000081    14894 cardinal.succ._proof_1
0.000031    14895 cardinal.succ
0.000028    14896 cardinal.succ.equations._eqn_1
0.000031    14897 cardinal.lt_succ_self
0.000027    14898 quotient.out_eq
0.000027    14899 cardinal.mk_out
0.000026    14900 cardinal.min_le
0.000028    14901 cardinal.succ_le
0.000027    14902 cardinal.add_one_le_succ
0.000026    14903 finset.card_le_of_subset
0.000028    14904 finset.card_le_card_of_inj_on
0.000027    14905 fintype.card_le_of_injective
0.000027    14906 cardinal.nat_cast_le
0.000026    14907 cardinal.nat_cast_lt
0.000027    14908 cardinal.nat_succ
0.000027    14909 cardinal.omega.equations._eqn_1
0.000027    14910 cardinal.nat_lt_omega
0.000027    14911 cardinal.lt_omega
0.000027    14912 cardinal.lt_omega_iff_fintype
0.000027    14913 cardinal.lt_omega_iff_finite
0.000027    14914 cardinal.mk_def
0.000026    14915 cardinal.mul_def
0.000027    14916 cardinal.sum_const
0.000027    14917 cardinal.wf
0.000027    14918 is_strict_total_order'
0.000026    14919 is_well_order
0.000032    14920 Well_order
0.000027    14921 Well_order.cases_on
0.000029    14922 ordinal.is_equivalent._match_1
0.000028    14923 ordinal.is_equivalent._match_2
0.088858    14924 rel_iso.refl._proof_1
0.000070    14925 rel_iso.refl
0.000027    14926 ordinal.is_equivalent._match_3
0.000029    14927 ordinal.is_equivalent._match_4
0.000029    14928 ordinal.is_equivalent._match_5
0.000033    14929 ordinal.is_equivalent._match_6
0.000029    14930 ordinal.is_equivalent._match_7
0.000029    14931 ordinal.is_equivalent._match_8
0.000029    14932 ordinal.is_equivalent._match_9
0.000028    14933 ordinal.is_equivalent._match_10
0.000032    14934 ordinal.is_equivalent._match_11
0.000027    14935 ordinal.is_equivalent._proof_1
0.000030    14936 ordinal.is_equivalent
0.000028    14937 ordinal
0.000029    14938 well_founded.min
0.000028    14939 principal_seg
0.000028    14940 ordinal.lt._match_1
0.000032    14941 ordinal.lt._match_2
0.000027    14942 function.embedding.trans_apply
0.000027    14943 rel_embedding.trans._proof_1
0.000027    14944 rel_embedding.trans
0.000026    14945 principal_seg.to_rel_embedding
0.000024    14946 principal_seg.rel_embedding.has_coe
0.000028    14947 principal_seg.top
0.000027    14948 principal_seg.has_coe_to_fun
0.000028    14949 principal_seg.down
0.000027    14950 principal_seg.coe_fn_to_rel_embedding
0.000027    14951 rel_embedding.coe_trans
0.000027    14952 principal_seg.coe_coe_fn
0.000027    14953 rel_iso.coe_coe_fn
0.000030    14954 rel_iso.apply_symm_apply
0.000028    14955 principal_seg.equiv_lt._match_1
0.000028    14956 principal_seg.equiv_lt._match_2
0.000029    14957 principal_seg.equiv_lt._proof_1
0.000028    14958 principal_seg.equiv_lt
0.000028    14959 initial_seg
0.000030    14960 initial_seg.to_rel_embedding
0.000027    14961 initial_seg.rel_embedding.has_coe
0.000028    14962 initial_seg.has_coe_to_fun
0.000027    14963 initial_seg.init
0.000027    14964 initial_seg.init'
0.000027    14965 initial_seg.init_iff
0.000027    14966 principal_seg.down'
0.000027    14967 rel_embedding.trans_apply
0.000027    14968 principal_seg.lt_le._proof_1
0.000027    14969 principal_seg.lt_le
0.000027    14970 initial_seg.of_iso._proof_1
0.000027    14971 initial_seg.of_iso
0.000027    14972 ordinal.lt._match_3
0.000027    14973 ordinal.lt._match_4
0.000027    14974 ordinal.lt._match_5
0.000026    14975 ordinal.lt._match_6
0.000027    14976 ordinal.lt._match_7
0.000027    14977 ordinal.lt._match_8
0.000027    14978 ordinal.lt._match_9
0.000028    14979 ordinal.lt._match_10
0.000027    14980 ordinal.lt._proof_1
0.000026    14981 ordinal.lt
0.000027    14982 ordinal.has_lt
0.000028    14983 ordinal.type
0.000027    14984 ordinal.induction_on
0.000032    14985 subrel
0.000027    14986 is_strict_total_order'.to_is_trichotomous
0.000028    14987 is_trichotomous.dcases_on
0.000028    14988 rel_embedding.is_trichotomous
0.000029    14989 rel_embedding.is_irrefl
0.000030    14990 rel_embedding.is_strict_order
0.000028    14991 is_strict_total_order'.to_is_strict_order
0.000027    14992 rel_embedding.is_strict_total_order'
0.000026    14993 is_well_order.to_is_strict_total_order'
0.000027    14994 rel_embedding.acc
0.000027    14995 rel_embedding.well_founded
0.000027    14996 is_well_order.wf
0.000027    14997 rel_embedding.is_well_order
0.000027    14998 subrel.rel_embedding._proof_1
0.000028    14999 subrel.rel_embedding
0.000026    15000 subrel.is_well_order
0.000027    15001 ordinal.typein._proof_1
0.000026    15002 ordinal.typein
0.000028    15003 rel_iso.of_surjective._proof_1
0.000032    15004 rel_iso.of_surjective._proof_2
0.000079    15005 rel_iso.of_surjective
0.000030    15006 rel_embedding.cod_restrict
0.000028    15007 principal_seg.lt_top
0.000028    15008 ordinal.typein_top
0.000028    15009 ordinal.typein_surj
0.000029    15010 ordinal.le._match_1
0.000028    15011 ordinal.le._match_2
0.000028    15012 initial_seg.coe_fn_to_rel_embedding
0.000028    15013 initial_seg.trans._proof_1
0.000028    15014 initial_seg.trans
0.000029    15015 ordinal.le._match_3
0.000028    15016 ordinal.le._match_4
0.000029    15017 ordinal.le._match_5
0.000028    15018 ordinal.le._match_6
0.000027    15019 ordinal.le._match_7
0.000028    15020 ordinal.le._match_8
0.000029    15021 ordinal.le._match_9
0.000028    15022 ordinal.le._match_10
0.000028    15023 ordinal.le._proof_1
0.000028    15024 ordinal.le
0.000032    15025 ordinal.has_le
0.000031    15026 rel_embedding.refl._proof_1
0.000028    15027 rel_embedding.refl
0.000028    15028 initial_seg.refl._proof_1
0.000028    15029 initial_seg.refl
0.000028    15030 ordinal.partial_order._match_1
0.000028    15031 ordinal.partial_order._proof_1
0.000030    15032 ordinal.partial_order._match_2
0.000027    15033 ordinal.partial_order._match_3
0.000027    15034 ordinal.partial_order._match_4
0.000027    15035 ordinal.partial_order._match_5
0.000026    15036 ordinal.partial_order._match_6
0.000027    15037 ordinal.partial_order._proof_2
0.000027    15038 principal_seg.init
0.000027    15039 principal_seg.has_coe_initial_seg._proof_1
0.000027    15040 principal_seg.has_coe_initial_seg
0.000027    15041 is_well_order.is_trans
0.000026    15042 is_well_order.is_irrefl
0.000027    15043 is_extensional
0.000027    15044 initial_seg.cases_on
0.000028    15045 is_extensional.ext
0.000026    15046 initial_seg.unique_of_extensional
0.155736    15047 is_extensional_of_is_strict_total_order'
0.000091    15048 is_well_order.is_extensional
0.000027    15049 initial_seg.subsingleton
0.000027    15050 initial_seg.eq
0.000031    15051 principal_seg.irrefl
0.000029    15052 ordinal.partial_order._match_7
0.000029    15053 ordinal.partial_order._match_8
0.000028    15054 initial_seg.lt_or_eq._proof_1
0.000029    15055 is_well_order.is_trichotomous
0.000027    15056 initial_seg.eq_or_principal
0.000027    15057 initial_seg.lt_or_eq._proof_2
0.000027    15058 initial_seg.lt_or_eq
0.000027    15059 ordinal.partial_order._match_9
0.000028    15060 ordinal.partial_order._match_10
0.000027    15061 ordinal.partial_order._match_11
0.000030    15062 ordinal.partial_order._proof_3
0.000029    15063 initial_seg.antisymm.aux
0.000028    15064 initial_seg.antisymm._proof_1
0.000028    15065 initial_seg.antisymm._proof_2
0.000028    15066 initial_seg.antisymm
0.000030    15067 ordinal.partial_order._match_12
0.000030    15068 ordinal.partial_order._match_13
0.000027    15069 ordinal.partial_order._match_14
0.000027    15070 ordinal.partial_order._match_15
0.000027    15071 ordinal.partial_order._proof_4
0.000027    15072 ordinal.partial_order
0.000027    15073 principal_seg.of_element._match_1
0.000027    15074 principal_seg.of_element._proof_1
0.000027    15075 principal_seg.of_element
0.000026    15076 ordinal.typein_lt_type
0.000027    15077 principal_seg.trans
0.000027    15078 principal_seg.cases_on
0.000027    15079 principal_seg.subsingleton
0.000027    15080 principal_seg.cod_restrict._match_1
0.000026    15081 principal_seg.cod_restrict._proof_1
0.000028    15082 principal_seg.cod_restrict
0.000026    15083 ordinal.typein_lt_typein
0.000027    15084 ordinal.wf
0.000027    15085 ordinal.min._match_1
0.000027    15086 ordinal.min
0.000027    15087 cardinal.nontrivial
0.000027    15088 cardinal.le_sum
0.000028    15089 nonempty_embedding_to_cardinal
0.000027    15090 embedding_to_cardinal
0.000027    15091 well_ordering_rel
0.000027    15092 has_lt.lt.is_strict_total_order'
0.000027    15093 cardinal.wo
0.000027    15094 well_ordering_rel.is_well_order
0.000027    15095 cardinal.ord._proof_1
0.000027    15096 cardinal.ord._proof_2
0.000027    15097 sum.lex
0.000027    15098 sum.lex.dcases_on
0.000026    15099 sum.lex_inl_inl
0.000027    15100 sum.lex_inr_inl
0.000027    15101 sum.lex_inr_inr
0.000027    15102 sum.lex_acc_inr
0.000027    15103 sum.lex_acc_inl
0.000027    15104 sum.lex_wf
0.000027    15105 sum.lex.is_well_order
0.000027    15106 ordinal.has_add._match_3
0.000027    15107 ordinal.has_add._match_4
0.000027    15108 rel_iso.cases_on
0.000026    15109 equiv.sum_congr_apply
0.000027    15110 sum.map_inl
0.000027    15111 sum.map_inr
0.000028    15112 rel_iso.sum_lex_congr._proof_1
0.000026    15113 rel_iso.sum_lex_congr
0.000026    15114 ordinal.has_add._match_5
0.000027    15115 ordinal.has_add._match_6
0.000027    15116 ordinal.has_add._match_7
0.000027    15117 ordinal.has_add._match_8
0.000027    15118 ordinal.has_add._match_9
0.000027    15119 ordinal.has_add._match_10
0.000027    15120 ordinal.has_add._proof_1
0.000027    15121 ordinal.has_add
0.000027    15122 trichotomous_of
0.000027    15123 empty_relation
0.000027    15124 empty_relation.is_well_order
0.000027    15125 subsingleton_pempty
0.000027    15126 ordinal.has_zero
0.000027    15127 equiv.sum_assoc_apply_in1
0.000027    15128 equiv.sum_assoc_apply_in2
0.000027    15129 equiv.sum_assoc_apply_in3
0.000027    15130 ordinal.add_monoid._match_1
0.000027    15131 ordinal.add_monoid._match_2
0.000027    15132 ordinal.add_monoid._match_3
0.000027    15133 ordinal.add_monoid._proof_1
0.000027    15134 ordinal.add_monoid._proof_2
0.000027    15135 ordinal.add_monoid._proof_3
0.000027    15136 ordinal.add_monoid
0.000027    15137 rel_embedding.collapse._proof_1
0.000027    15138 is_well_order.is_asymm
0.000023    15139 rel_embedding.collapse_F._proof_1
0.000023    15140 rel_embedding.collapse_F._proof_2
0.000026    15141 well_founded.not_lt_min
0.000027    15142 rel_embedding.collapse_F._proof_3
0.000027    15143 rel_embedding.collapse_F
0.000026    15144 rel_embedding.collapse_F.equations._eqn_1
0.000028    15145 well_founded.min_mem
0.000026    15146 rel_embedding.collapse_F.lt
0.000032    15147 rel_embedding.collapse._proof_2
0.000029    15148 rel_embedding.collapse_F.not_lt
0.000027    15149 rel_embedding.collapse._proof_3
0.000028    15150 rel_embedding.collapse
0.000028    15151 ordinal.type_le'
0.000028    15152 ordinal.add_le_add_right
0.000028    15153 ordinal.zero_le
0.000028    15154 ordinal.le_add_left
0.000028    15155 ordinal.add_le_add_left
0.000028    15156 ordinal.le_add_right
0.000085    15157 ordinal.le_total
0.000028    15158 ordinal.linear_order
0.000027    15159 ordinal.min_le
0.000027    15160 ordinal.min_eq
0.000027    15161 ordinal.le_min
0.000027    15162 rel_iso.preimage._proof_1
0.000027    15163 rel_iso.preimage
0.000027    15164 cardinal.ord._proof_3
0.000027    15165 cardinal.ord
0.000026    15166 cardinal.ord_eq
0.000027    15167 partial_order_of_SO._proof_1
0.000028    15168 partial_order_of_SO._match_1
0.000026    15169 partial_order_of_SO._proof_2
0.219221    15170 partial_order_of_SO._match_3
0.000096    15171 partial_order_of_SO._proof_3
0.000027    15172 partial_order_of_SO._match_2
0.000023    15173 partial_order_of_SO._proof_4
0.000027    15174 partial_order_of_SO
0.000028    15175 linear_order_of_STO'._proof_1
0.000028    15176 linear_order_of_STO'._proof_2
0.000029    15177 linear_order_of_STO'._proof_3
0.000029    15178 linear_order_of_STO'._proof_4
0.000029    15179 linear_order_of_STO'._match_1
0.000027    15180 linear_order_of_STO'._proof_5
0.000036    15181 linear_order_of_STO'._proof_6
0.000030    15182 linear_order_of_STO'._proof_7
0.000028    15183 linear_order_of_STO'._proof_8
0.000027    15184 linear_order_of_STO'._proof_9
0.000028    15185 asymm_of
0.000027    15186 linear_order_of_STO'._proof_10
0.000028    15187 linear_order_of_STO'
0.000027    15188 prod.lex
0.000027    15189 ordinal.card._match_1
0.000027    15190 ordinal.card._match_2
0.000027    15191 ordinal.card._match_3
0.000027    15192 ordinal.card._match_4
0.000027    15193 ordinal.card._proof_1
0.000026    15194 ordinal.card
0.000027    15195 ordinal.card_le_card
0.000027    15196 prod.lex.is_well_order._match_2
0.000027    15197 prod.lex.is_well_order._match_1
0.000026    15198 prod.lex.is_well_order._match_3
0.000027    15199 prod.lex.is_well_order._match_4
0.000027    15200 prod.lex.dcases_on
0.000027    15201 prod.lex.is_well_order._match_5
0.000027    15202 prod.lex.rec_on
0.000026    15203 prod.lex_accessible
0.000028    15204 prod.lex_wf
0.000027    15205 prod.lex.is_well_order
0.000027    15206 ordinal.has_lt.lt.is_well_order
0.000027    15207 le_of_forall_lt
0.000028    15208 ordinal.card_type
0.000027    15209 cardinal.ord_le_type
0.000027    15210 cardinal.ord_le
0.000027    15211 cardinal.lt_ord
0.000027    15212 ordinal.has_one
0.000027    15213 ordinal.succ
0.000027    15214 prod.lex_def
0.000026    15215 injective_of_increasing
0.000027    15216 ordinal.typein_injective
0.000028    15217 ordinal.typein_inj
0.000027    15218 equiv.subtype_prod_equiv_prod._proof_1
0.000027    15219 equiv.subtype_prod_equiv_prod._proof_2
0.000027    15220 equiv.subtype_prod_equiv_prod._proof_3
0.000027    15221 equiv.subtype_prod_equiv_prod._match_1
0.000027    15222 equiv.subtype_prod_equiv_prod._proof_4
0.000026    15223 equiv.subtype_prod_equiv_prod._match_2
0.000027    15224 equiv.subtype_prod_equiv_prod._proof_5
0.000028    15225 equiv.subtype_prod_equiv_prod
0.000027    15226 equiv.set.prod
0.000027    15227 equiv.set.insert._proof_1
0.000027    15228 equiv.set.insert._proof_2
0.000027    15229 equiv.set.singleton._match_1
0.000027    15230 equiv.set.singleton._proof_1
0.000027    15231 equiv.set.singleton._match_2
0.000026    15232 equiv.set.singleton._proof_2
0.000027    15233 equiv.set.singleton
0.000023    15234 equiv.set.insert
0.000023    15235 set.decidable_set_of
0.000027    15236 cardinal.mul_lt_omega
0.000027    15237 ordinal.is_limit
0.000027    15238 cardinal.omega_ne_zero
0.000030    15239 ordinal.card_zero
0.000029    15240 ordinal.le_zero
0.000028    15241 cardinal.card_ord
0.000028    15242 ordinal.card_one
0.000028    15243 ordinal.card_add
0.000031    15244 ordinal.lift._match_2
0.000027    15245 ordinal.lift._match_3
0.000027    15246 ordinal.lift._match_4
0.000027    15247 ordinal.lift._match_5
0.000027    15248 ordinal.lift._proof_1
0.000027    15249 ordinal.lift
0.000028    15250 nat.lt.is_well_order
0.000027    15251 ordinal.omega
0.000026    15252 ordinal.omin._match_1
0.000028    15253 ordinal.omin
0.000027    15254 ordinal.sub._proof_1
0.000027    15255 ordinal.sub
0.000027    15256 ordinal.has_sub
0.000027    15257 quotient.decidable_eq._proof_1
0.000027    15258 quotient.decidable_eq._match_1
0.000028    15259 quotient.decidable_eq
0.000027    15260 sum.inl_ne_inr
0.000027    15261 ordinal.lt_succ_self
0.000027    15262 ordinal.succ_le
0.000027    15263 ordinal.succ_lt_of_not_succ
0.000027    15264 ordinal.zero_or_succ_or_limit
0.000027    15265 ordinal.add_succ
0.000026    15266 ordinal.omin_mem
0.000028    15267 ordinal.le_add_sub
0.000026    15268 ordinal.le_omin
0.000027    15269 ordinal.omin_le
0.000027    15270 ordinal.sub_le
0.000027    15271 ordinal.lt_sub
0.000027    15272 ordinal.enum._match_1
0.000027    15273 ordinal.type_eq
0.000027    15274 principal_seg.top_eq
0.000027    15275 ordinal.enum._match_2
0.000027    15276 ordinal.enum._match_3
0.000027    15277 ordinal.enum._match_4
0.000027    15278 ordinal.enum._proof_1
0.000027    15279 ordinal.enum
0.000027    15280 ordinal.is_limit.pos
0.000031    15281 ordinal.enum_type
0.000029    15282 ordinal.enum_typein
0.000028    15283 ordinal.typein_enum
0.000028    15284 ordinal.add_le_of_limit
0.000028    15285 ordinal.add_sub_cancel_of_le
0.000028    15286 ordinal.omega.equations._eqn_1
0.000031    15287 ordinal.one_eq_type_unit
0.000027    15288 ordinal.lift_one
0.000027    15289 ordinal.one_eq_lift_type_unit
0.000026    15290 ordinal.lift_add
0.000027    15291 ordinal.lift_umax
0.000027    15292 ordinal.lift_type_le
0.000027    15293 ordinal.lift_le
0.000026    15294 ordinal.type_add
0.000027    15295 has_lt.lt.is_asymm
0.000027    15296 ordinal.one_add_omega
0.000027    15297 ordinal.one_add_of_omega_le
1.731119    15298 ordinal.lift_lt
0.000098    15299 ordinal.lift_id'
0.000028    15300 ordinal.lift_id
0.000023    15301 ordinal.lift_type_eq
0.000027    15302 ordinal.lift_down'
0.000028    15303 ordinal.lift_card
0.000028    15304 ordinal.lift_down
0.000028    15305 ordinal.lt_lift_iff
0.000027    15306 cardinal.lift_omega
0.000027    15307 cardinal.ord_omega
0.000028    15308 cardinal.ord_le_ord
0.000027    15309 cardinal.add_one_of_omega_le
0.000028    15310 ordinal.succ_lt_of_is_limit
0.000027    15311 ordinal.le_succ_of_is_limit
0.000027    15312 ordinal.card_nat
0.000027    15313 cardinal.ord_lt_ord
0.000027    15314 cardinal.ord_nat
0.000027    15315 ordinal.nat_le_card
0.000027    15316 ordinal.nat_lt_card
0.000027    15317 ordinal.card_le_nat
0.000027    15318 ordinal.card_eq_nat
0.000026    15319 ordinal.lt_omega
0.000027    15320 ordinal.nat_lt_omega
0.000027    15321 ordinal.omega_pos
0.000028    15322 ordinal.omega_ne_zero
0.000026    15323 ordinal.omega_is_limit
0.000027    15324 ordinal.succ.equations._eqn_1
0.000027    15325 ordinal.card_succ
0.000028    15326 cardinal.ord_is_limit
0.000027    15327 canonically_ordered_semiring.mul_le_mul_left'
0.000027    15328 cardinal.one_lt_omega
0.000027    15329 cardinal.mul_eq_self
0.000027    15330 canonically_ordered_semiring.mul_le_mul_right'
0.000027    15331 cardinal.mul_eq_max
0.000027    15332 linear_independent.repr_eq
0.000027    15333 linear_independent.repr_eq_single
0.000027    15334 is_basis.repr_eq_single
0.000027    15335 set.union_empty
0.000028    15336 set.union_insert
0.000027    15337 set.insert_subset_insert
0.000026    15338 submodule.span_insert_eq_span
0.000024    15339 submodule.span_union
0.000022    15340 submodule.mem_sup
0.000027    15341 exists_comm
0.000027    15342 submodule.mem_span_insert
0.000027    15343 mem_span_insert_exchange
0.000028    15344 set.union_subset_union
0.000027    15345 exists_of_linear_independent_of_finite_span
0.000027    15346 exists_finite_card_le_of_finite_of_linear_independent_of_span
0.000027    15347 cardinal.nat_cast_inj
0.000027    15348 fintype.card_coe
0.000027    15349 cardinal.finset_card
0.000027    15350 is_basis.le_span
0.000027    15351 mk_eq_mk_of_basis
0.000027    15352 mk_eq_mk_of_basis'
0.000027    15353 is_basis.range
0.000027    15354 is_basis.mk_eq_dim''
0.000027    15355 is_basis.mk_range_eq_dim
0.000027    15356 is_basis.mk_eq_dim
0.000027    15357 set.finite.exists_finset_coe
0.000028    15358 submodule.fg_def
0.000027    15359 submodule.span_image
0.000072    15360 submodule.fg_map
0.000028    15361 is_noetherian.noetherian
0.000028    15362 submodule.map_mono
0.000027    15363 submodule.map_comap_le
0.000027    15364 linear_map.map_comap_eq
0.000027    15365 linear_map.map_comap_eq_self
0.000027    15366 is_noetherian_of_surjective
0.000027    15367 set_like.coe_set_eq
0.000027    15368 set_like.ext'_iff
0.000027    15369 linear_map.range_eq_top
0.000028    15370 linear_equiv.range
0.000027    15371 is_noetherian_of_linear_equiv
0.000027    15372 submodule.restricted_module
0.000027    15373 is_noetherian_ring
0.000027    15374 is_noetherian_ring.to_is_noetherian
0.000027    15375 submodule.span_empty
0.000027    15376 submodule.fg_bot
0.000027    15377 or.by_cases.equations._eqn_1
0.000027    15378 finset.nonempty_of_sum_ne_zero
0.000027    15379 finset.sum_filter_ne_zero
0.000026    15380 finset.exists_ne_zero_of_sum_ne_zero
0.000028    15381 finsupp.support_sum
0.000027    15382 finset.mem_of_subset
0.000027    15383 finset.bUnion_mono
0.000026    15384 finset.bUnion_singleton
0.000027    15385 finsupp.map_domain_support
0.000027    15386 finsupp.supported_comap_lmap_domain
0.000027    15387 function.inv_fun_on_mem
0.000027    15388 finsupp.map_domain_comp
0.000026    15389 finsupp.lmap_domain_comp
0.000027    15390 finsupp.map_domain_congr
0.000027    15391 finsupp.map_domain_id
0.000027    15392 finsupp.lmap_domain_supported
0.000027    15393 submodule.fg_of_fg_map_of_fg_inf_ker
0.000027    15394 is_noetherian_prod._match_1
0.000027    15395 is_noetherian_prod
0.000027    15396 is_noetherian_pi
0.000027    15397 is_noetherian_of_fg_of_noetherian
0.000027    15398 ideal
0.000027    15399 submodule.is_principal
0.000027    15400 is_principal_ideal_ring
0.000026    15401 is_noetherian_ring_iff
0.000027    15402 submodule.is_principal.principal
0.000027    15403 is_principal_ideal_ring.principal
0.000027    15404 principal_ideal_ring.is_noetherian_ring
0.000027    15405 decidable.or_iff_not_and_not
0.000028    15406 or_iff_not_and_not
0.000027    15407 euclidean_domain.integral_domain._proof_1
0.000027    15408 euclidean_domain.integral_domain
0.000027    15409 ideal.span
0.000027    15410 ideal.mem_span_singleton'
0.000027    15411 ideal.mem_span_singleton
0.000027    15412 euclidean_domain.mod_eq_zero
0.000027    15413 ideal.add_mem
0.000027    15414 ideal.mul_mem_left
0.000027    15415 ideal.mul_mem_right
0.000027    15416 euclidean_domain.mod_eq_sub_mul_div
0.000028    15417 ideal.sub_mem
0.000026    15418 mod_mem_iff
0.000027    15419 euclidean_domain.to_principal_ideal_domain._match_1
0.000027    15420 euclidean_domain.r_well_founded
0.000027    15421 submodule.bot_coe
0.790042    15422 ideal.zero_mem
0.000098    15423 euclidean_domain.to_principal_ideal_domain
0.000028    15424 finite_dimensional.finite_dimensional_iff_dim_lt_omega
0.000029    15425 finsupp.lmap_domain_total
0.000030    15426 linear_map.ker_comp
0.000029    15427 finsupp.supported_univ
0.000028    15428 submodule.comap_bot
0.000164    15429 submodule.map_inf_eq_map_inf_comap
0.000031    15430 linear_independent.map
0.000032    15431 linear_independent.map'
0.000029    15432 linear_map.ker_eq_bot_of_injective
0.000029    15433 linear_equiv.ker
0.000024    15434 linear_equiv.coe_coe
0.000023    15435 linear_equiv.is_basis
0.000026    15436 linear_equiv.lift_dim_eq
0.000028    15437 linear_equiv.dim_eq
0.000026    15438 dim_top
0.000027    15439 linear_independent.of_comp
0.000027    15440 linear_independent_span
0.000027    15441 submodule.subtype_eq_val
0.000028    15442 set_like.coe_eq_coe
0.000026    15443 is_basis_span
0.000027    15444 dim_span
0.000028    15445 dim_span_set
0.000027    15446 cardinal.mk_le_mk_of_subset
0.000027    15447 dim_span_le
0.000027    15448 finite_dimensional.iff_fg
0.000027    15449 finite_dimensional.of_fintype_basis
0.000027    15450 prod.fintype._match_1
0.000027    15451 prod.fintype._proof_1
0.000027    15452 prod.fintype
0.000027    15453 ite_smul
0.000027    15454 finset.sum_extend_by_zero
0.000027    15455 linear_independent_iff''
0.000027    15456 add_monoid_hom.add_comm_monoid._proof_1
0.000027    15457 add_monoid_hom.has_zero._proof_1
0.000027    15458 add_monoid_hom.has_zero._proof_2
0.000027    15459 add_monoid_hom.has_zero
0.000027    15460 add_monoid_hom.add_comm_monoid._proof_2
0.000027    15461 add_monoid_hom.add_comm_monoid._proof_3
0.000027    15462 add_monoid_hom.add_comm_monoid._proof_4
0.000027    15463 add_monoid_hom.add_comm_monoid
0.000027    15464 add_monoid_hom.zero_apply
0.000028    15465 add_monoid_hom.flip._proof_1
0.000027    15466 add_monoid_hom.flip._proof_2
0.000027    15467 add_monoid_hom.flip._proof_3
0.000027    15468 add_monoid_hom.flip._proof_4
0.000027    15469 add_monoid_hom.flip
0.000027    15470 const_smul_hom_apply
0.000027    15471 smul_add_hom._proof_1
0.000027    15472 smul_add_hom._proof_2
0.000027    15473 smul_add_hom
0.000027    15474 finset.sum_smul
0.000027    15475 finset.subset_product
0.000027    15476 linear_independent_smul
0.000026    15477 set.image2
0.000028    15478 set.has_scalar
0.000026    15479 set.mem_smul
0.000027    15480 set.range_smul_range
0.000026    15481 submodule.restrict_scalars._proof_1
0.000027    15482 submodule.restrict_scalars._proof_2
0.000028    15483 submodule.restrict_scalars
0.000026    15484 submodule.smul_mem_span_smul_of_mem
0.000027    15485 submodule.smul_mem_span_smul
0.000028    15486 submodule.smul_mem_span_smul'
0.000026    15487 submodule.span_smul
0.000027    15488 submodule.restrict_scalars_top
0.000027    15489 submodule.restrict_scalars_injective
0.000027    15490 submodule.restrict_scalars_inj
0.000027    15491 is_basis.smul
0.000027    15492 finite_dimensional.trans
0.000027    15493 is_R_or_C.I
0.000026    15494 is_R_or_C.re
0.000028    15495 is_R_or_C.im
0.000027    15496 is_R_or_C.algebra_map_coe
0.000027    15497 is_R_or_C.algebra_map_eq_of_real
0.000026    15498 is_R_or_C.re_add_im_ax
0.000027    15499 is_R_or_C.re_add_im
0.000027    15500 finite_dimensional.is_R_or_C_to_real
0.000028    15501 cardinal.to_nat._proof_1
0.000027    15502 cardinal.to_nat._proof_2
0.000027    15503 cardinal.to_nat
0.000027    15504 finite_dimensional.findim
0.000027    15505 nnnorm_smul
0.000027    15506 nnreal.bot_eq_zero
0.000027    15507 nnreal.mul_sup
0.000027    15508 nnreal.mul_finset_sup
0.000027    15509 pi.semi_normed_space._proof_1
0.000026    15510 pi.semi_normed_space
0.000028    15511 pi.normed_space._proof_1
0.000027    15512 pi.normed_space
0.000026    15513 linear_equiv.to_continuous_linear_equiv._proof_1
0.000027    15514 linear_equiv.to_continuous_linear_equiv._proof_2
0.000027    15515 linear_equiv.to_continuous_linear_equiv._proof_3
0.000027    15516 linear_equiv.to_continuous_linear_equiv._proof_4
0.000027    15517 module_equiv_finsupp._proof_1
0.000027    15518 module_equiv_finsupp._proof_2
0.000027    15519 module_equiv_finsupp
0.000027    15520 finsupp.coe_add
0.000027    15521 is_basis.equiv_fun._proof_1
0.000027    15522 finsupp.coe_smul
0.000028    15523 is_basis.equiv_fun._proof_2
0.000027    15524 finsupp.equiv_fun_on_fintype._proof_1
0.000027    15525 finsupp.equiv_fun_on_fintype._proof_2
0.000026    15526 finsupp.equiv_fun_on_fintype._proof_3
0.000031    15527 finsupp.equiv_fun_on_fintype
0.000028    15528 is_basis.equiv_fun._proof_3
0.000044    15529 is_basis.equiv_fun._proof_4
0.000044    15530 is_basis.equiv_fun
0.000028    15531 pi.add_zero_class._proof_1
0.000028    15532 pi.add_zero_class._proof_2
0.000029    15533 pi.add_zero_class
0.000028    15534 add_monoid_hom.apply._proof_1
0.000031    15535 add_monoid_hom.apply._proof_2
0.000027    15536 add_monoid_hom.apply
0.000028    15537 finset.sum_apply
0.000027    15538 fintype.sum_apply
0.000027    15539 mul_ite
0.000027    15540 mul_boole
0.000028    15541 pi_eq_sum_univ
1.249079    15542 linear_map.pi_apply_eq_sum_univ
0.000096    15543 continuous_list_sum
0.000027    15544 continuous_multiset_sum
0.000023    15545 continuous_finset_sum
0.000027    15546 continuous_infi_dom
0.000029    15547 continuous_apply
0.000028    15548 linear_map.continuous_on_pi
0.000029    15549 empty.cases_on
0.000029    15550 empty.elim._main
0.000030    15551 empty.elim
0.000029    15552 empty.fintype._proof_1
0.000027    15553 empty.fintype
0.000028    15554 fintype.card_empty
0.000027    15555 fintype.card_eq_zero_iff
0.000027    15556 linear_map.proj._proof_1
0.000027    15557 linear_map.proj._proof_2
0.000028    15558 linear_map.proj
0.000027    15559 normal_space
0.000027    15560 normal_space.to_t1_space
0.000028    15561 locally_finite
0.000027    15562 paracompact_space
0.000027    15563 set_coe.forall'
0.000026    15564 option.elim._main
0.000027    15565 option.elim
0.000027    15566 set.exists_range_iff'
0.000027    15567 set.Union_eq_univ_iff
0.000028    15568 paracompact_space.locally_finite_refinement
0.000027    15569 precise_refinement
0.000027    15570 option.forall
0.000027    15571 is_lub_supr
0.000027    15572 supr_le_iff
0.000026    15573 supr_option
0.000027    15574 set.Union_option
0.000027    15575 option.elim._main.equations._eqn_1
0.000027    15576 option.elim.equations._eqn_1
0.000027    15577 option.elim._main.equations._eqn_2
0.000027    15578 option.elim.equations._eqn_2
0.000027    15579 set.compl_subset_iff_union
0.000027    15580 set.subset_compl_comm
0.000027    15581 locally_finite.comp_injective
0.000027    15582 precise_refinement_set
0.000026    15583 locally_finite.is_closed_Union
0.000027    15584 interior_mem_nhds
0.000027    15585 set.subset_eq_empty
0.000028    15586 is_closed_empty
0.000026    15587 closure_empty
0.000027    15588 closure_empty_iff
0.000027    15589 closure_nonempty_iff
0.000027    15590 set.nonempty.of_closure
0.000026    15591 closure_inter_open
0.000027    15592 closure_inter_open'
0.000027    15593 locally_finite.closure
0.000027    15594 locally_finite.closure_Union
0.000027    15595 set.compl_Union
0.000027    15596 disjoint_compl_right
0.000027    15597 normal_of_paracompact_t2
0.000027    15598 eq_of_forall_edist_le
0.000027    15599 to_separated
0.000027    15600 strong_rec'._main._pack._wf_rec_mk_dec_tactic._aux_1
0.000027    15601 nat.strong_rec'._main._pack
0.000028    15602 nat.strong_rec'._main
0.000026    15603 nat.strong_rec'
0.000028    15604 nat.strong_rec_on'
0.000027    15605 nat.strong_rec_on'.equations._eqn_1
0.000027    15606 nat.strong_rec'._main._pack.equations._eqn_1
0.000027    15607 nat.strong_rec'._main.equations._eqn_1
0.000027    15608 nat.strong_rec'.equations._eqn_1
0.000031    15609 nat.strong_rec_on_beta'
0.000027    15610 emetric.nhds_basis_eball
0.000029    15611 emetric.mem_nhds_iff
0.000028    15612 emetric.is_open_iff
0.000028    15613 ennreal.has_sub
0.000028    15614 bot_lt_iff_ne_bot
0.000031    15615 ennreal.bot_lt_iff_ne_bot
0.000027    15616 ennreal.sub_eq_zero_of_le
0.000027    15617 ennreal.forall_ennreal
0.000027    15618 ennreal.le_coe_iff
0.000026    15619 ennreal.top_sub_coe
0.000027    15620 ennreal.sub_infty
0.000028    15621 nnreal.has_sub
0.000027    15622 nnreal.coe_sub
0.000027    15623 nnreal.sub_eq_zero
0.000027    15624 nnreal.sub_le_iff_le_add
0.000027    15625 ennreal.coe_sub
0.000027    15626 nnreal.sub_def
0.000026    15627 nnreal.coe_max
0.000027    15628 nnreal.coe_mk
0.000027    15629 linear_ordered_add_comm_monoid
0.000027    15630 linear_ordered_add_comm_monoid.le
0.000023    15631 linear_ordered_add_comm_monoid.lt
0.000023    15632 linear_ordered_add_comm_monoid.le_refl
0.000027    15633 linear_ordered_add_comm_monoid.le_trans
0.000027    15634 linear_ordered_add_comm_monoid.lt_iff_le_not_le
0.000027    15635 linear_ordered_add_comm_monoid.le_antisymm
0.000027    15636 linear_ordered_add_comm_monoid.le_total
0.000027    15637 linear_ordered_add_comm_monoid.decidable_le
0.000027    15638 linear_ordered_add_comm_monoid.decidable_eq
0.000027    15639 linear_ordered_add_comm_monoid.decidable_lt
0.000028    15640 linear_ordered_add_comm_monoid.to_linear_order
0.000026    15641 linear_ordered_cancel_add_comm_monoid
0.000027    15642 linear_ordered_cancel_add_comm_monoid.le
0.000027    15643 linear_ordered_cancel_add_comm_monoid.lt
0.000027    15644 linear_ordered_cancel_add_comm_monoid.le_refl
0.000027    15645 linear_ordered_cancel_add_comm_monoid.le_trans
0.000027    15646 linear_ordered_cancel_add_comm_monoid.lt_iff_le_not_le
0.000027    15647 linear_ordered_cancel_add_comm_monoid.le_antisymm
0.000027    15648 linear_ordered_cancel_add_comm_monoid.le_total
0.000027    15649 linear_ordered_cancel_add_comm_monoid.decidable_le
0.000027    15650 linear_ordered_cancel_add_comm_monoid.decidable_eq
0.000027    15651 linear_ordered_cancel_add_comm_monoid.decidable_lt
0.000027    15652 linear_ordered_cancel_add_comm_monoid.add
0.000027    15653 linear_ordered_cancel_add_comm_monoid.add_assoc
0.000027    15654 linear_ordered_cancel_add_comm_monoid.zero
0.000028    15655 linear_ordered_cancel_add_comm_monoid.zero_add
0.592396    15656 linear_ordered_cancel_add_comm_monoid.add_zero
0.000098    15657 linear_ordered_cancel_add_comm_monoid.add_comm
0.000027    15658 linear_ordered_cancel_add_comm_monoid.add_left_cancel
0.000023    15659 linear_ordered_cancel_add_comm_monoid.add_le_add_left
0.000040    15660 linear_ordered_cancel_add_comm_monoid.lt_of_add_lt_add_left
0.000020    15661 linear_ordered_cancel_add_comm_monoid.to_linear_ordered_add_comm_monoid
0.000021    15662 linear_ordered_add_comm_group.to_linear_ordered_cancel_add_comm_monoid._proof_1
0.000017    15663 linear_ordered_add_comm_group.to_linear_ordered_cancel_add_comm_monoid._proof_2
0.000024    15664 linear_ordered_add_comm_monoid.lt_of_add_lt_add_left._default
0.000029    15665 linear_ordered_add_comm_group.to_linear_ordered_cancel_add_comm_monoid._proof_3
0.000022    15666 linear_ordered_add_comm_group.to_linear_ordered_cancel_add_comm_monoid
0.000017    15667 linear_ordered_cancel_add_comm_monoid.le_of_add_le_add_left
0.000018    15668 linear_ordered_cancel_add_comm_monoid.to_ordered_cancel_add_comm_monoid
0.000021    15669 monotone.add
0.000029    15670 monotone.add_const
0.000029    15671 max_add_add_right
0.000034    15672 nnreal.sub_add_eq_max
0.000029    15673 nnreal.sub_add_cancel_of_le
0.000028    15674 ennreal.sub_add_cancel_of_le
0.000028    15675 ennreal.sub_add_self_eq_max
0.000028    15676 ennreal.le_sub_add_self
0.000028    15677 ennreal.sub_le_iff_le_add
0.000028    15678 ennreal.sub_eq_zero_iff_le
0.000027    15679 ennreal.zero_lt_sub_iff_lt
0.000028    15680 emetric.mem_ball
0.000027    15681 emetric.ball_subset
0.000028    15682 ennreal.add_sub_cancel_of_le
0.000027    15683 emetric.exists_ball_subset_ball
0.000027    15684 emetric.is_open_ball
0.000027    15685 ennreal.inv_one
0.000026    15686 ennreal.top_mul_top
0.000027    15687 ennreal.top_pow
0.000027    15688 ennreal.coe_pow
0.000027    15689 ennreal.inv_pow
0.000027    15690 nat.cast_bit0
0.000027    15691 nat.cast_pow
0.000027    15692 nat.pow_lt_pow_succ
0.000027    15693 nat.lt_pow_self
0.000027    15694 nat.lt_two_pow
0.000028    15695 ennreal.exists_inv_two_pow_lt
0.000027    15696 ennreal.div_zero_iff
0.000026    15697 ennreal.div_pos_iff
0.000027    15698 gt.lt
0.000027    15699 emetric.ball_subset_ball
0.000027    15700 emetric.mem_ball_self
0.000027    15701 canonically_ordered_semiring.pow_pos
0.000028    15702 ennreal.pow_pos
0.000027    15703 ennreal.coe_bit0
0.000026    15704 ennreal.coe_two
0.000027    15705 ennreal.two_ne_top
0.000025    15706 uniformity_basis_edist_inv_two_pow
0.000022    15707 emetric.ball_mem_nhds
0.000027    15708 set.fintype_Union._proof_1
0.000027    15709 set.fintype_Union
0.000027    15710 set.finite_Union
0.000027    15711 set.finite.bUnion
0.000026    15712 set.subsingleton
0.000028    15713 set.subsingleton.eq_singleton_of_mem
0.000027    15714 set.subsingleton.eq_empty_or_singleton
0.000027    15715 set.subsingleton.induction_on
0.000026    15716 set.subsingleton.finite
0.000028    15717 ennreal.inv_le_inv
0.000027    15718 ennreal.one_le_coe_iff
0.000027    15719 ennreal.pow_le_pow
0.000027    15720 ennreal.le_inv_iff_le_inv
0.000027    15721 ennreal.one_le_inv
0.000027    15722 ennreal.pow_le_pow_of_le_one
0.000027    15723 ennreal.inv_le_iff_inv_le
0.000027    15724 ennreal.inv_le_one
0.000027    15725 ennreal.one_lt_two
0.000027    15726 _private.1549444657.ne_from_not_eq
0.000027    15727 ennreal.mul_inv_cancel
0.000027    15728 bit0_zero
0.000027    15729 ennreal.bit0_inj
0.000027    15730 ennreal.bit0_eq_zero_iff
0.000027    15731 ennreal.bit0_eq_top_iff
0.000027    15732 ennreal.one_ne_top
0.000027    15733 bit1.equations._eqn_1
0.000027    15734 ne.lt_or_lt
0.000027    15735 int.comm_semiring
0.000026    15736 add_neg_of_neg_of_nonpos
0.000028    15737 sub_nonpos_of_le
0.000027    15738 neg_nonpos_of_nonneg
0.000026    15739 int.add_one_le_iff
0.000027    15740 nat.cast_bit1
0.000028    15741 ennreal.coe_nat_mono
0.000027    15742 ennreal.coe_nat_le_coe_nat
0.000026    15743 zero_lt_mul_left
0.000027    15744 one_lt_bit1
0.000027    15745 norm_num.lt_one_bit1
0.000027    15746 norm_num.le_one_bit1
0.000031    15747 emetric.paracompact_space
0.000027    15748 emetric.normal_of_emetric
0.000028    15749 subspace
0.000028    15750 emetric.inf_edist
0.000028    15751 metric.inf_dist
0.000028    15752 lt_div_iff'
0.000031    15753 norm_num.inv_div_one
0.000027    15754 norm_num.div_eq
0.000027    15755 norm_num.clear_denom_mul
0.000027    15756 norm_num.clear_denom_simple_nat
0.000027    15757 norm_num.clear_denom_simple_div
0.000027    15758 metric.inf_dist.equations._eqn_1
0.000026    15759 binfi_le
0.000027    15760 emetric.inf_edist_le_edist_of_mem
0.000028    15761 metric.inf_edist_ne_top
0.000027    15762 metric.inf_dist_le_dist_of_mem
0.000027    15763 emetric.inf_edist.equations._eqn_1
0.000027    15764 emetric.exists_edist_lt_of_inf_edist_lt
0.000027    15765 ennreal.to_real_lt_to_real
0.000027    15766 ennreal.of_real_ne_top
0.000026    15767 nnreal.zero_le_coe
0.000027    15768 ennreal.to_real_nonneg
0.000026    15769 metric.inf_dist_nonneg
1.178831    15770 metric.exists_dist_lt_of_inf_dist_lt
0.000095    15771 le_mul_iff_one_le_right
0.000026    15772 mul_lt_iff_lt_one_right
0.000028    15773 infi_le_infi_of_subset
0.000028    15774 emetric.inf_edist_le_inf_edist_of_subset
0.000030    15775 ennreal.half_pos
0.000028    15776 emetric.mem_closure_iff
0.000030    15777 ennreal.div_self
0.000028    15778 ennreal.zero_lt_two
0.000027    15779 ennreal.two_ne_zero
0.000028    15780 ennreal.inv_two_add_inv_two
0.000028    15781 ennreal.add_halves
0.000027    15782 emetric.inf_edist_closure
0.000027    15783 emetric.inf_edist_zero_of_mem
0.000027    15784 emetric.mem_closure_iff_inf_edist_zero
0.000027    15785 metric.mem_closure_iff_inf_dist_zero
0.000027    15786 metric.mem_iff_inf_dist_zero_of_closed
0.000028    15787 norm_num.clear_denom_lt
0.000027    15788 norm_num.ne_zero_of_pos
0.000027    15789 riesz_lemma
0.000027    15790 zero_le_mul_left
0.000027    15791 zero_le_bit0
0.000027    15792 nat.cast_two
0.000027    15793 two_ne_zero'
0.000027    15794 add_self_eq_zero
0.000027    15795 bit0_eq_zero
0.000026    15796 sub_eq_zero_of_eq
0.000028    15797 linear_map.continuous_iff_is_closed_ker
0.000027    15798 finite_dimensional.findim.equations._eqn_1
0.000027    15799 cardinal.to_nat_apply_of_lt_omega
0.000027    15800 cardinal.cast_to_nat_of_lt_omega
0.000027    15801 finite_dimensional.dim_lt_omega
0.000027    15802 finite_dimensional.findim_eq_dim
0.000028    15803 set.card_range_of_injective
0.000027    15804 finite_dimensional.dim_eq_card_basis
0.000023    15805 finite_dimensional.findim_eq_card_basis
0.000024    15806 submodule.quotient_rel._proof_1
0.000026    15807 submodule.quotient_rel
0.000027    15808 submodule.quotient
0.000027    15809 quotient.lift_on₂'
0.000028    15810 submodule.quotient.mk
0.000026    15811 quotient.eq'
0.000027    15812 submodule.quotient.eq
0.000027    15813 submodule.quotient.has_add._proof_1
0.000027    15814 submodule.quotient.has_add
0.000026    15815 submodule.quotient.quot_mk_eq_mk
0.000028    15816 submodule.quotient.mk_add
0.000027    15817 submodule.quotient.add_comm_group._proof_1
0.000027    15818 submodule.quotient.has_zero
0.000026    15819 submodule.quotient.mk_zero
0.000027    15820 submodule.quotient.add_comm_group._proof_2
0.000027    15821 submodule.quotient.add_comm_group._proof_3
0.000027    15822 quotient.lift_on'
0.000027    15823 submodule.quotient.has_neg._proof_1
0.000027    15824 submodule.quotient.has_neg
0.000026    15825 submodule.quotient.has_sub._proof_1
0.000028    15826 submodule.quotient.has_sub
0.000027    15827 submodule.quotient.mk_sub
0.000026    15828 submodule.quotient.mk_neg
0.000027    15829 submodule.quotient.add_comm_group._proof_4
0.000027    15830 submodule.quotient.add_comm_group._proof_5
0.000027    15831 submodule.quotient.add_comm_group._proof_6
0.000027    15832 submodule.quotient.add_comm_group
0.000027    15833 semimodule.core
0.000027    15834 semimodule.core.to_has_scalar
0.000028    15835 semimodule.core.one_smul
0.000026    15836 semimodule.core.mul_smul
0.000027    15837 semimodule.core.smul_add
0.000027    15838 add_left_eq_self
0.000027    15839 add_monoid_hom.mk'._proof_1
0.000027    15840 add_monoid_hom.mk'
0.000027    15841 semimodule.of_core._proof_1
0.000027    15842 semimodule.core.add_smul
0.000027    15843 semimodule.of_core._proof_2
0.000027    15844 semimodule.of_core
0.000027    15845 submodule.quotient.has_scalar._proof_1
0.000027    15846 submodule.quotient.has_scalar
0.000028    15847 submodule.quotient.mk_smul
0.000027    15848 submodule.quotient.semimodule._proof_1
0.000026    15849 submodule.quotient.semimodule._proof_2
0.000084    15850 submodule.quotient.semimodule._proof_3
0.000029    15851 submodule.quotient.semimodule._proof_4
0.000027    15852 submodule.quotient.semimodule
0.000027    15853 linear_equiv.finite_dimensional
0.000027    15854 linear_equiv.findim_eq
0.000027    15855 submodule.liftq._proof_1
0.000027    15856 submodule.liftq._proof_2
0.000027    15857 submodule.liftq._proof_3
0.000027    15858 submodule.liftq
0.000027    15859 linear_map.quot_ker_equiv_range._proof_1
0.000027    15860 submodule.mkq._proof_1
0.000027    15861 submodule.mkq._proof_2
0.000027    15862 submodule.mkq
0.000027    15863 submodule.comap_comp
0.000027    15864 submodule.liftq_mkq
0.000027    15865 submodule.comap_liftq
0.000027    15866 submodule.ker_liftq
0.000027    15867 submodule.mkq_apply
0.000027    15868 submodule.quotient.mk_eq_zero
0.000027    15869 submodule.ker_mkq
0.000027    15870 submodule.mkq_map_self
0.000027    15871 submodule.ker_liftq_eq_bot
0.000026    15872 linear_map.quot_ker_equiv_range._proof_2
0.000027    15873 linear_equiv.of_eq._proof_1
0.000027    15874 linear_equiv.of_eq._proof_2
0.000026    15875 linear_equiv.of_eq._proof_3
0.000027    15876 linear_equiv.of_eq._proof_4
0.000027    15877 linear_equiv.of_eq._proof_5
0.000026    15878 linear_equiv.of_eq
0.000027    15879 submodule.map_liftq
0.000028    15880 submodule.range_liftq
0.000027    15881 linear_map.quot_ker_equiv_range._proof_3
0.836993    15882 linear_map.quot_ker_equiv_range
0.000097    15883 add_submonoid.prod._proof_1
0.000026    15884 add_submonoid.prod._proof_2
0.000028    15885 add_submonoid.prod
0.000030    15886 submodule.prod._proof_1
0.000029    15887 submodule.prod._proof_2
0.000029    15888 submodule.prod._proof_3
0.000028    15889 submodule.prod
0.000028    15890 submodule.mem_prod
0.000029    15891 prod.zero_eq_mk
0.000027    15892 submodule.prod_bot
0.000028    15893 submodule.prod_comap_inl
0.000027    15894 submodule.ker_inl
0.000024    15895 submodule.prod_comap_inr
0.000024    15896 submodule.ker_inr
0.000027    15897 set.image_subset_range
0.000028    15898 set.range_comp_subset_range
0.000027    15899 linear_map.is_compl_range_inl_inr
0.000027    15900 linear_independent_inl_union_inr'
0.000027    15901 linear_map.sup_range_inl_inr
0.000027    15902 is_basis_inl_union_inr
0.000027    15903 cardinal.lift_mk
0.000027    15904 cardinal.add_def
0.000027    15905 dim_prod
0.000027    15906 linear_equiv.map_add
0.000029    15907 linear_equiv.prod._proof_1
0.000032    15908 linear_equiv.map_smul
0.000026    15909 linear_equiv.prod._proof_2
0.000019    15910 linear_equiv.prod._proof_3
0.000021    15911 linear_equiv.prod._proof_4
0.000015    15912 linear_equiv.prod
0.000015    15913 submodule.le_comap_map
0.000014    15914 submodule.comap_mono
0.000031    15915 linear_map.comap_map_eq
0.000018    15916 linear_map.map_le_map_iff
0.000017    15917 linear_map.map_le_map_iff'
0.000017    15918 submodule.ker_subtype
0.000017    15919 submodule.disjoint_iff_comap_eq_bot
0.000017    15920 submodule.quotient_equiv_of_is_compl._proof_1
0.000016    15921 submodule.map_coe
0.000018    15922 submodule.map_comp
0.000016    15923 linear_map.range_comp
0.000015    15924 linear_map.map_eq_top_iff
0.000014    15925 submodule.range_mkq
0.000016    15926 submodule.map_mkq_eq_top
0.000018    15927 submodule.quotient_equiv_of_is_compl._proof_2
0.000016    15928 submodule.quotient_equiv_of_is_compl
0.000017    15929 linear_equiv.refl._proof_1
0.000015    15930 linear_equiv.refl._proof_2
0.000014    15931 linear_equiv.refl._proof_3
0.000017    15932 linear_equiv.refl._proof_4
0.000018    15933 linear_equiv.refl
0.000017    15934 prod.mk_eq_zero
0.000016    15935 submodule.mk_eq_zero
0.000015    15936 add_subgroup.neg_mem_iff
0.000014    15937 submodule.neg_mem_iff
0.000017    15938 submodule.prod_equiv_of_is_compl._proof_1
0.000015    15939 set_like.exists
0.000016    15940 submodule.sup_eq_range
0.000017    15941 submodule.prod_equiv_of_is_compl._proof_2
0.000017    15942 submodule.prod_equiv_of_is_compl
0.000016    15943 submodule.mem_sup'
0.000021    15944 linear_map.is_compl_of_proj
0.000023    15945 linear_map.ext_iff
0.000017    15946 linear_independent.image_subtype
0.000017    15947 is_basis.constr
0.000016    15948 linear_map.ext_on
0.000016    15949 linear_map.ext_on_range
0.000017    15950 is_basis.ext
0.000016    15951 is_basis.constr_apply
0.000016    15952 constr_basis
0.000017    15953 linear_map.exists_left_inverse_of_injective
0.000016    15954 submodule.exists_is_compl
0.000016    15955 quotient_prod_linear_equiv
0.000016    15956 dim_quotient_add_dim
0.000017    15957 self_le_add_right
0.000016    15958 dim_quotient_le
0.000016    15959 finite_dimensional.finite_dimensional_quotient
0.000016    15960 self_le_add_left
0.000017    15961 dim_submodule_le
0.000016    15962 finite_dimensional.finite_dimensional_submodule
0.000016    15963 submodule.findim_quotient_add_findim
0.000017    15964 linear_map.findim_range_add_findim_ker
0.000016    15965 exists_eq
0.000016    15966 is_basis_singleton_one
0.000016    15967 punit.unique._proof_1
0.000016    15968 punit.unique
0.000016    15969 cardinal.mk_punit
0.000016    15970 dim_of_field
0.000017    15971 finite_dimensional.findim_of_field
0.000016    15972 submodule.findim_le
0.000016    15973 finite_dimensional.finite_dimensional_self
0.000017    15974 zero_lt_iff
0.000016    15975 cauchy.mono'
0.000016    15976 tendsto_nhds_unique'
0.000017    15977 is_complete.is_closed
0.000016    15978 uniform_inducing
0.000016    15979 complete_univ
0.000017    15980 complete_space_of_is_complete_univ
0.000016    15981 complete_space_iff_is_complete_univ
0.000017    15982 cauchy.map
0.000016    15983 uniform_inducing.comap_uniformity
0.000016    15984 uniform_inducing.uniform_continuous
0.000016    15985 uniform_inducing.inducing
0.000017    15986 is_complete_of_complete_image
0.000027    15987 uniform_embedding
0.000016    15988 uniform_embedding.to_uniform_inducing
0.000014    15989 uniform_embedding_subtype_val
0.000023    15990 uniform_embedding_subtype_coe
0.000019    15991 is_complete.complete_space_coe
0.000017    15992 filter.prod_comap_comap_eq
0.000017    15993 cauchy.comap
0.000016    15994 cauchy.comap'
0.000016    15995 uniform_inducing.comp
0.000016    15996 filter.comap_ne_bot_iff
0.000017    15997 filter.comap_ne_bot_iff_frequently
0.000016    15998 filter.ne_bot.comap_of_range_mem
0.000016    15999 filter.comap_le_comap_iff
0.000017    16000 is_complete_image_iff
0.000016    16001 complete_space_iff_is_complete_range
0.000016    16002 complete_space_coe_iff_is_complete
2.746463    16003 complete_space_congr
0.000093    16004 antilipschitz_with
0.000024    16005 ennreal.mul_pos
0.000015    16006 antilipschitz_with.comap_uniformity_le
0.000014    16007 filter.tendsto.le_comap
0.000014    16008 antilipschitz_with.uniform_inducing
0.000015    16009 antilipschitz_with.injective
0.000014    16010 antilipschitz_with.uniform_embedding
0.000014    16011 lipschitz_with.to_right_inverse
0.000015    16012 continuous_linear_equiv.lipschitz
0.000017    16013 continuous_linear_equiv.antilipschitz
0.000017    16014 continuous_linear_equiv.uniform_embedding
0.000015    16015 linear_equiv.uniform_embedding
0.000014    16016 submodule.semi_normed_group._proof_1
0.000019    16017 submodule.semi_normed_group
0.000019    16018 subtype.metric_space._proof_1
0.000014    16019 subtype.metric_space
0.000015    16020 submodule.normed_group._proof_1
0.000016    16021 submodule.normed_group
0.000017    16022 submodule.semi_normed_space._proof_1
0.000014    16023 submodule.semi_normed_space
0.000015    16024 submodule.normed_space._proof_1
0.000016    16025 submodule.normed_space
0.000018    16026 Pi.uniform_continuous_proj
0.000015    16027 nhds_pi
0.000016    16028 Pi.complete
0.000017    16029 fintype.subtype_card
0.000014    16030 fintype.card_of_finset
0.000014    16031 fintype.card_of_finset'
0.000017    16032 set.card_image_of_inj_on
0.000018    16033 set.card_image_of_injective
0.000015    16034 finite_dimensional.eq_top_of_findim_eq
0.000014    16035 continuous_equiv_fun_basis
0.000016    16036 linear_map.continuous_of_finite_dimensional
0.000017    16037 linear_equiv.to_continuous_linear_equiv._proof_5
0.000016    16038 linear_equiv.to_continuous_linear_equiv._proof_6
0.000017    16039 linear_equiv.to_continuous_linear_equiv
0.000016    16040 nonempty.map
0.000017    16041 linear_equiv_of_is_basis._proof_1
0.000016    16042 linear_equiv_of_is_basis._proof_2
0.000016    16043 linear_equiv_of_is_basis._proof_3
0.000016    16044 linear_equiv_of_is_basis._proof_4
0.000017    16045 linear_equiv_of_is_basis
0.000016    16046 nonempty_linear_equiv_of_lift_dim_eq
0.000016    16047 finite_dimensional.nonempty_linear_equiv_of_findim_eq
0.000016    16048 finite_dimensional.linear_equiv.of_findim_eq
0.000016    16049 continuous_linear_equiv.of_findim_eq
0.000017    16050 pi.single
0.000016    16051 pi.single_zero
0.000017    16052 zero_hom.single._proof_1
0.000016    16053 zero_hom.single
0.000016    16054 add_monoid_hom.single._proof_1
0.000016    16055 pi.single_eq_same
0.000017    16056 pi.single_eq_of_ne
0.000017    16057 pi.apply_single₂
0.000016    16058 pi.single_op₂
0.000016    16059 add_monoid_hom.single._proof_2
0.000016    16060 add_monoid_hom.single
0.000017    16061 linear_map.single._proof_1
0.000016    16062 pi.single.equations._eqn_1
0.000016    16063 function.apply_update
0.000017    16064 pi.apply_single
0.000016    16065 pi.single_op
0.000016    16066 pi.single_smul
0.000016    16067 linear_map.single._proof_2
0.000017    16068 linear_map.single
0.000016    16069 linear_map.std_basis
0.000017    16070 linear_independent.of_subtype_range
0.000016    16071 sigma.eq
0.000016    16072 linear_independent.ne_zero
0.000016    16073 supr_singleton
0.000016    16074 sigma.exists
0.000017    16075 set.range_sigma_eq_Union_range
0.000016    16076 supr_le_supr_const
0.000029    16077 set.Union_subset_Union_const
0.000017    16078 linear_independent_empty_type
0.000014    16079 not_nonempty_iff_imp_false
0.000014    16080 disjoint.mono_right
0.000015    16081 linear_independent_Union_finite_subtype
0.000014    16082 linear_independent_Union_finite
0.000014    16083 linear_map.std_basis_apply
0.000017    16084 linear_map.std_basis_same
0.000017    16085 linear_map.ker_std_basis
0.000016    16086 submodule.comap_infi
0.000017    16087 function.eval
0.000016    16088 linear_map.coe_proj
0.000017    16089 function.eval_apply
0.000016    16090 linear_map.std_basis_ne
0.000017    16091 linear_map.proj_std_basis_ne
0.000016    16092 linear_map.supr_range_std_basis_le_infi_ker_proj
0.000016    16093 linear_map.proj_apply
0.000016    16094 linear_map.disjoint_std_basis_std_basis
0.000017    16095 pi.has_bot
0.000016    16096 pi.semilattice_inf_bot._proof_1
0.000017    16097 pi.semilattice_inf_bot._proof_2
0.000016    16098 pi.semilattice_inf_bot._proof_3
0.000016    16099 pi.semilattice_inf_bot._proof_4
0.000017    16100 pi.semilattice_inf_bot._proof_5
0.000016    16101 pi.semilattice_inf_bot._proof_6
0.000017    16102 pi.semilattice_inf_bot._proof_7
0.000016    16103 pi.semilattice_inf_bot._proof_8
0.000016    16104 pi.semilattice_inf_bot._proof_9
0.000017    16105 pi.has_inf
0.000016    16106 pi.semilattice_inf_bot._proof_10
0.000016    16107 pi.semilattice_inf_bot._proof_11
0.000017    16108 pi.semilattice_inf_bot._proof_12
0.000016    16109 pi.semilattice_inf_bot
0.000016    16110 set.disjoint_iff
0.000017    16111 set.disjoint_singleton_left
0.000016    16112 pi.linear_independent_std_basis
0.000016    16113 eq_top_mono
0.000017    16114 supr_pos
0.000017    16115 submodule.mem_supr_of_mem
0.766439    16116 linear_map.infi_ker_proj_le_supr_range_std_basis
0.000093    16117 linear_map.supr_range_std_basis
0.000024    16118 pi.is_basis_std_basis
0.000014    16119 dim_pi
0.000014    16120 cardinal.mk_prod
0.000015    16121 cardinal.sum_const_eq_lift_mul
0.000014    16122 dim_fun_eq_lift_mul
0.000014    16123 dim_fun'
0.000014    16124 finite_dimensional.findim_fintype_fun_eq_card
0.000015    16125 finite_dimensional.findim_fin_fun
0.000017    16126 real.decidable_le
0.000017    16127 metric.closed_ball_subset_closed_ball
0.000017    16128 is_closed.mem_of_nhds_within_ne_bot
0.000017    16129 is_compact.inter_right
0.000014    16130 metric.is_closed_ball
0.000015    16131 proper_space_of_compact_closed_ball_of_le
0.000016    16132 set.image_preimage_eq
0.000015    16133 function.surjective.image_preimage
0.000017    16134 filter.comap_inf_principal_ne_bot_of_image_mem
0.000016    16135 filter.tendsto.ne_bot
0.000017    16136 filter.tendsto.inf
0.000014    16137 is_compact.image_of_continuous_on
0.000014    16138 is_compact.image
0.000017    16139 metric.bounded
0.000015    16140 diagonal_eq_range_diagonal_map
0.000017    16141 prod_subset_compl_diagonal_iff_disjoint
0.000017    16142 nhds_contain_boxes
0.000014    16143 set.bInter_empty
0.000014    16144 is_open_bInter
0.000017    16145 nhds_contain_boxes_of_compact
0.000014    16146 set.preimage_swap_prod
0.000018    16147 set.image_swap_prod
0.000016    16148 nhds_contain_boxes.symm
0.000017    16149 set.prod_singleton
0.000016    16150 nhds_contain_boxes_of_singleton
0.000016    16151 generalized_tube_lemma
0.000017    16152 compact_compact_separated
0.000016    16153 cluster_pt.of_le_nhds'
0.000017    16154 filter.principal_singleton
0.000016    16155 compact_singleton
0.000016    16156 is_compact.is_closed
0.000017    16157 metric.bounded.subset
0.000017    16158 metric.bounded_empty
0.000016    16159 supr_union
0.000016    16160 set.bUnion_union
0.000017    16161 set.bUnion_singleton
0.000016    16162 set.bUnion_insert
0.000016    16163 metric.bounded_iff_mem_bounded
0.000016    16164 dist_triangle_right
0.000017    16165 metric.bounded_closed_ball
0.000016    16166 metric.bounded_iff_subset_ball
0.000017    16167 metric.bounded_union
0.000016    16168 metric.bounded_bUnion
0.000016    16169 metric.ball_subset_closed_ball
0.000025    16170 metric.bounded_ball
0.000015    16171 set.Union_subtype
0.000015    16172 set.preimage_range
0.000017    16173 subtype.coe_preimage_self
0.000016    16174 finset.supr_coe
0.000014    16175 finset.supr_finset_image
0.000015    16176 finset.set_bUnion_finset_image
0.000016    16177 is_compact.elim_finite_subcover_image
0.000017    16178 finite_cover_balls_of_compact
0.000016    16179 metric.bounded_of_compact
0.000016    16180 is_compact.bounded
0.000016    16181 compact_empty
0.000017    16182 compact_of_is_closed_subset
0.000016    16183 metric.compact_iff_closed_bounded
0.000017    16184 emetric.diam
0.000015    16185 metric.diam
0.000017    16186 antilipschitz_with.equations._eqn_1
0.000016    16187 antilipschitz_with_iff_le_mul_dist
0.000017    16188 antilipschitz_with.le_mul_dist
0.000017    16189 metric.diam.equations._eqn_1
0.000016    16190 emetric.diam.equations._eqn_1
0.000016    16191 emetric.diam_le_iff
0.000016    16192 emetric.edist_le_of_diam_le
0.000016    16193 emetric.edist_le_diam_of_mem
0.000016    16194 metric.dist_le_diam_of_mem'
0.000017    16195 ne_top_of_le_ne_top
0.000016    16196 emetric.diam_le
0.000016    16197 metric.ediam_le_of_forall_dist_le
0.000016    16198 metric.bounded_iff_ediam_ne_top
0.000016    16199 metric.bounded.ediam_ne_top
0.000016    16200 metric.dist_le_diam_of_mem
0.000016    16201 antilipschitz_with.bounded_preimage
0.000016    16202 antilipschitz_with.proper_space
0.000016    16203 closed_ball_pi
0.000016    16204 ultrafilter.of_compl_not_mem_iff._proof_1
0.000016    16205 ultrafilter.of_compl_not_mem_iff._proof_2
0.000017    16206 ultrafilter.of_compl_not_mem_iff
0.000016    16207 ultrafilter.map._proof_1
0.000016    16208 ultrafilter.map
0.000016    16209 compact_pi_infinite
0.000017    16210 pi_proper_space
0.000016    16211 continuous_linear_equiv.continuous
0.000016    16212 continuous_linear_equiv.surjective
0.000016    16213 finite_dimensional.proper
0.000016    16214 sub_le
0.000016    16215 closed_ball_Icc
0.000016    16216 set.Icc.equations._eqn_1
0.000016    16217 set.Icc_self
0.000016    16218 Ioc_mem_nhds_within_Iic
0.000017    16219 ultrafilter.diff_mem_iff
0.000016    16220 set.Icc_subset_Icc_union_Ioc
0.000016    16221 set.Ioc_subset_Ioc
0.000016    16222 set.Ioc_subset_Ioc_left
0.000016    16223 set.mem_Ioc
0.000016    16224 mem_nhds_within_Ici_iff_exists_mem_Ioc_Ico_subset
0.000016    16225 and.right_comm
0.000017    16226 set.Icc_diff_left
0.000016    16227 set.union_eq_self_of_subset_right
0.000016    16228 set.Ioc_union_left
0.000016    16229 set.Ico_union_right
0.000016    16230 set.union_subset_union_right
0.000016    16231 set.Ioc_subset_Icc_self
0.000017    16232 set.Icc_subset_Icc_union_Icc
0.000016    16233 set.Icc_eq_empty
0.000016    16234 compact_Icc
0.000017    16235 real.proper_space
0.000016    16236 finite_dimensional.proper_real
1.186858    16237 finite_dimensional.proper_is_R_or_C
0.000136    16238 real.is_R_or_C._proof_1
0.000023    16239 or.intro_left
0.000015    16240 real.is_R_or_C._proof_2
0.000014    16241 add_monoid_hom.to_fun_eq_coe
0.000014    16242 add_monoid_hom.id_apply
0.000016    16243 real.is_R_or_C._proof_3
0.000014    16244 real.is_R_or_C._proof_4
0.000014    16245 real.is_R_or_C._proof_5
0.000014    16246 real.is_R_or_C._proof_6
0.000019    16247 real.is_R_or_C._proof_7
0.000017    16248 real.is_R_or_C._proof_8
0.000017    16249 real.is_R_or_C._proof_9
0.000015    16250 real.is_R_or_C._proof_10
0.000014    16251 pow_two
0.000016    16252 real.is_R_or_C._proof_11
0.000019    16253 real.is_R_or_C._proof_12
0.000014    16254 real.is_R_or_C._proof_13
0.000016    16255 real.is_R_or_C._proof_14
0.000014    16256 real.is_R_or_C
0.000014    16257 fin.tail
0.000016    16258 fin_succ_equiv._proof_1
0.000019    16259 fin_succ_equiv._proof_2
0.000014    16260 option.cases_on'_none
0.000014    16261 option.cases_on'_some
0.000017    16262 nat.lt.step
0.000017    16263 fin.cast_succ_mk
0.000016    16264 subtype.mk_lt_mk
0.000015    16265 fin.pred._main._proof_1
0.000014    16266 fin.pred._main.equations._eqn_1
0.000016    16267 fin.pred.equations._eqn_1
0.000018    16268 fin.succ_above_pred_above
0.000015    16269 fin_succ_equiv'._proof_1
0.000016    16270 fin.pred_above_succ_above
0.000014    16271 fin_succ_equiv'._proof_2
0.000015    16272 fin_succ_equiv'
0.000016    16273 fin_succ_equiv
0.000016    16274 equiv.option_equiv_sum_punit._match_1
0.000017    16275 equiv.option_equiv_sum_punit._match_2
0.000016    16276 equiv.option_equiv_sum_punit._proof_1
0.000017    16277 equiv.option_equiv_sum_punit._proof_2
0.000016    16278 equiv.option_equiv_sum_punit
0.000016    16279 set.range_unique
0.000016    16280 linear_independent_option'
0.000017    16281 option.cases_on'_none_coe
0.000016    16282 linear_independent_option
0.000017    16283 fin_succ_equiv'.equations._eqn_1
0.000016    16284 fin_succ_equiv_symm'_some_above
0.000016    16285 fin_succ_equiv_symm_some
0.000017    16286 fin_succ_equiv_symm_coe
0.000016    16287 fin_succ_equiv_symm_none
0.000016    16288 linear_independent_fin_cons
0.000017    16289 fin.tail.equations._eqn_1
0.000016    16290 fin.cons_self_tail
0.000016    16291 linear_independent_fin_succ
0.000017    16292 linear_independent_fin2
0.000016    16293 complex.I_ne_zero
0.000016    16294 matrix.vec_head
0.000016    16295 matrix.cons_val_one
0.000017    16296 matrix.head_cons
0.000016    16297 fin.exists_fin_succ
0.000017    16298 set.singleton_union
0.000016    16299 matrix.range_cons
0.000016    16300 set.range_eq_empty
0.000017    16301 matrix.range_empty
0.000016    16302 set.is_lawful_singleton
0.000016    16303 complex.is_basis_one_I
0.000017    16304 complex.finite_dimensional
0.000016    16305 complex.is_R_or_C._proof_1
0.000017    16306 complex.is_R_or_C._proof_2
0.000016    16307 complex.I_mul_I
0.000016    16308 complex.is_R_or_C._proof_3
0.000016    16309 complex.is_R_or_C._proof_4
0.000017    16310 complex.is_R_or_C._proof_5
0.000016    16311 complex.is_R_or_C._proof_6
0.000016    16312 complex.is_R_or_C._proof_7
0.000016    16313 complex.is_R_or_C._proof_8
0.000017    16314 complex.is_R_or_C._proof_9
0.000016    16315 complex.is_R_or_C._proof_10
0.000017    16316 complex.conj_I
0.000016    16317 complex.is_R_or_C._proof_11
0.000016    16318 complex.norm_sq_eq_abs
0.000016    16319 complex.norm_sq_apply
0.000017    16320 complex.is_R_or_C._proof_12
0.000017    16321 complex.is_R_or_C._proof_13
0.000016    16322 complex.is_R_or_C._proof_14
0.000016    16323 complex.div_I
0.000017    16324 complex.is_R_or_C
0.000016    16325 has_ftaylor_series_up_to
0.000017    16326 times_cont_diff
0.000017    16327 times_cont_diff_on
0.000016    16328 continuous_linear_map.uncurry_left._proof_1
0.000016    16329 continuous_linear_map.uncurry_left._proof_2
0.000016    16330 linear_map.uncurry_left._proof_1
0.000016    16331 linear_map.uncurry_left._proof_2
0.000017    16332 fin.tail_update_zero
0.000016    16333 fin.tail_update_succ
0.000016    16334 linear_map.uncurry_left._proof_3
0.000017    16335 multilinear_map.smul_apply
0.000016    16336 linear_map.uncurry_left._proof_4
0.000017    16337 linear_map.uncurry_left
0.000016    16338 continuous_linear_map.uncurry_left._proof_3
0.000017    16339 continuous_linear_map.uncurry_left._proof_4
0.000016    16340 continuous_linear_map.uncurry_left._proof_5
0.000016    16341 continuous_linear_map.uncurry_left._proof_6
0.000017    16342 continuous_multilinear_map.to_multilinear_map_linear._proof_1
0.000017    16343 continuous_multilinear_map.to_multilinear_map_linear._proof_2
0.000016    16344 continuous_multilinear_map.to_multilinear_map_linear
0.000016    16345 continuous_linear_map.uncurry_left._proof_7
0.000017    16346 continuous_linear_map.uncurry_left._proof_8
0.000016    16347 continuous_linear_map.norm_map_tail_le
0.000017    16348 continuous_linear_map.uncurry_left._proof_9
0.000016    16349 continuous_linear_map.uncurry_left
0.000016    16350 fderiv_within
1.215862    16351 iterated_fderiv_within._proof_1
0.000092    16352 iterated_fderiv_within
0.000023    16353 ftaylor_series_within
0.000015    16354 has_ftaylor_series_up_to.zero_eq
0.000014    16355 has_ftaylor_series_up_to.fderiv
0.000014    16356 has_ftaylor_series_up_to.cont
0.000015    16357 has_ftaylor_series_up_to_on_univ_iff
0.000015    16358 unique_diff_on
0.000014    16359 ftaylor_series_within.equations._eqn_1
0.000014    16360 iterated_fderiv_within_zero_apply
0.000014    16361 with_top.add_one_le_of_lt
0.000014    16362 iterated_fderiv_within_succ_apply_left
0.000018    16363 differentiable_within_at
0.000017    16364 differentiable_within_at.has_fderiv_within_at
0.000015    16365 has_fderiv_within_at.differentiable_within_at
0.000014    16366 has_fderiv_within_at.fderiv_within
0.000017    16367 has_fderiv_within_at.congr_of_eventually_eq
0.000019    16368 fderiv_within.equations._eqn_1
0.000015    16369 fderiv_within_zero_of_not_differentiable_within_at
0.000016    16370 differentiable_within_at.congr_of_eventually_eq
0.000015    16371 filter.eventually_eq.fderiv_within_eq
0.000015    16372 fderiv_within_congr
0.000014    16373 fderiv_within_subset
0.000016    16374 dense.mono
0.000017    16375 tangent_cone_mono_nhds
0.000017    16376 unique_diff_within_at.mono_nhds
0.000015    16377 unique_diff_within_at_congr
0.000014    16378 unique_diff_within_at_inter
0.000016    16379 unique_diff_within_at.inter
0.000018    16380 differentiable_within_at.equations._eqn_1
0.000015    16381 differentiable_within_at_inter
0.000016    16382 fderiv_within_inter
0.000016    16383 iterated_fderiv_within_inter_open
0.000014    16384 unique_diff_on.inter
0.000014    16385 iterated_fderiv_within_inter'
0.000016    16386 iterated_fderiv_within_inter
0.000015    16387 has_ftaylor_series_up_to_on.zero_eq'
0.000014    16388 iterated_fderiv_within_zero_eq_comp
0.000016    16389 continuous_multilinear_curry_left_equiv._proof_1
0.000015    16390 continuous_multilinear_curry_left_equiv._proof_2
0.000015    16391 continuous_multilinear_curry_left_equiv._proof_3
0.000016    16392 continuous_multilinear_curry_left_equiv._proof_4
0.000014    16393 continuous_multilinear_curry_left_equiv._proof_5
0.000017    16394 continuous_multilinear_curry_left_equiv._proof_6
0.000017    16395 continuous_multilinear_curry_left_equiv._proof_7
0.000016    16396 continuous_multilinear_curry_left_equiv._proof_8
0.000017    16397 continuous_multilinear_map.curry_left_apply
0.000017    16398 continuous_linear_map.uncurry_left_apply
0.000016    16399 fin.tail_cons
0.000017    16400 continuous_linear_map.curry_uncurry_left
0.000016    16401 linear_map.uncurry_left_apply
0.000017    16402 multilinear_map.curry_left_apply
0.000017    16403 multilinear_map.uncurry_curry_left
0.000017    16404 continuous_multilinear_map.uncurry_curry_left
0.000016    16405 continuous_multilinear_curry_left_equiv._proof_9
0.000017    16406 continuous_multilinear_curry_left_equiv._proof_10
0.000016    16407 continuous_multilinear_curry_left_equiv._proof_11
0.000017    16408 continuous_multilinear_curry_left_equiv
0.000016    16409 iterated_fderiv_within_succ_eq_comp_left
0.000017    16410 function.comp_apply
0.000017    16411 has_ftaylor_series_up_to_on.eq_ftaylor_series_of_unique_diff_on
0.000016    16412 has_ftaylor_series_up_to_on.mono
0.000017    16413 continuous_on_of_locally_continuous_on
0.000017    16414 filter.eventually_eq.symm
0.000017    16415 eventually_eq_nhds_within_of_eq_on
0.000016    16416 set.eq_on.eventually_eq_nhds_within
0.000017    16417 continuous_on.congr_mono
0.000016    16418 continuous_on.congr
0.000017    16419 times_cont_diff_on.ftaylor_series_within
0.000017    16420 unique_diff_on_univ
0.000017    16421 has_ftaylor_series_up_to_on.of_le
0.000016    16422 has_ftaylor_series_up_to.has_ftaylor_series_up_to_on
0.000017    16423 times_cont_diff_on_univ
0.000017    16424 times_cont_diff_on.equations._eqn_1
0.000017    16425 times_cont_diff_at.equations._eqn_1
0.000016    16426 times_cont_diff_iff_times_cont_diff_at
0.000017    16427 times_cont_diff.times_cont_diff_at
0.000016    16428 times_cont_diff_within_at.of_le
0.000017    16429 times_cont_diff_on.of_le
0.000016    16430 times_cont_diff_on_iff_forall_nat_le
0.000017    16431 times_cont_diff_on_top
0.000016    16432 times_cont_diff_on_all_iff_nat
0.000017    16433 times_cont_diff_all_iff_nat
0.000017    16434 continuous_within_at.mono_of_mem
0.000016    16435 continuous_on.continuous_within_at
0.000015    16436 inducing.tendsto_nhds_iff
0.000016    16437 inducing.continuous_iff
0.000017    16438 inducing.continuous_on_iff
0.000016    16439 isometry.antilipschitz
0.000017    16440 isometry.uniform_inducing
0.000016    16441 isometry.comp_continuous_on_iff
0.000017    16442 linear_isometry_equiv.comp_continuous_on_iff
0.000016    16443 has_ftaylor_series_up_to_on.continuous_on
0.000017    16444 nhds_within_singleton
0.000017    16445 nhds_within_insert
2.882556    16446 mem_nhds_within_insert
0.000091    16447 times_cont_diff_within_at.continuous_within_at
0.000024    16448 times_cont_diff_on.continuous_on
0.000014    16449 set.eq_on.symm
0.000015    16450 continuous_on_congr
0.000014    16451 has_ftaylor_series_up_to_on_zero_iff
0.000015    16452 times_cont_diff_on_zero
0.000014    16453 times_cont_diff_zero
0.000014    16454 homeomorph.surjective
0.000014    16455 homeomorph.range_coe
0.000017    16456 homeomorph.map_nhds_eq
0.000016    16457 add_units.neg_add_cancel_left
0.000017    16458 add_units.add_neg_cancel_left
0.000017    16459 add_units.add_left
0.000016    16460 equiv.add_left
0.000016    16461 homeomorph.add_left._proof_1
0.000015    16462 homeomorph.add_left._proof_2
0.000014    16463 homeomorph.add_left._proof_3
0.000017    16464 homeomorph.add_left._proof_4
0.000015    16465 homeomorph.add_left
0.000017    16466 map_add_left_nhds
0.000017    16467 map_add_left_nhds_zero
0.000014    16468 asymptotics.is_O_with_map
0.000015    16469 asymptotics.is_o_map
0.000016    16470 has_fderiv_at_iff_is_o_nhds_zero
0.000015    16471 has_deriv_at_iff_is_o_nhds_zero
0.000017    16472 cau_seq.const_lim_zero
0.000017    16473 cau_seq.const_equiv
0.000014    16474 cau_seq.eq_lim_of_const_equiv
0.000014    16475 mul_lt_mul''
0.000017    16476 cau_seq.mul_lim_zero_left
0.000015    16477 cau_seq.lim_mul_lim
0.000016    16478 cau_seq.lim_eq_of_equiv_const
0.000015    16479 cau_seq.lim_eq_lim_of_equiv
0.000016    16480 cau_seq.cauchy₂
0.000017    16481 abv_sum_le_sum_abv
0.000016    16482 sum_range_sub_sum_range
0.000017    16483 mul_lt_mul_right
0.000016    16484 norm_num.bit0_mul
0.000017    16485 norm_num.mul_bit0'
0.000016    16486 norm_num.mul_bit0_bit0
0.000016    16487 finset.sum_sigma'
0.000017    16488 nat.sub_lt_sub_right_iff
0.000016    16489 nat.lt_sub_right_of_add_lt
0.000016    16490 nat.lt_sub_left_of_add_lt
0.000017    16491 nat.lt_sub_left_iff_add_lt
0.000016    16492 nat.lt_sub_right_iff_add_lt
0.000017    16493 sum_range_diag_flip
0.000016    16494 cauchy_product
0.000016    16495 nat.choose._main
0.000016    16496 nat.choose
0.000017    16497 finset.sum_range_succ
0.000016    16498 nat.choose._main.equations._eqn_1
0.000016    16499 nat.choose.equations._eqn_1
0.000016    16500 nat.choose._main.equations._eqn_4
0.000017    16501 nat.choose.equations._eqn_4
0.000016    16502 nat.choose_zero_succ
0.000017    16503 nat.choose_succ_succ
0.000016    16504 nat.choose_eq_zero_of_lt
0.000016    16505 nat.choose_self
0.000017    16506 nat.choose_zero_right
0.000016    16507 nat.choose_succ_self
0.000017    16508 commute.add_pow
0.000016    16509 add_pow
0.000017    16510 nat.factorial_zero
0.000016    16511 nat.factorial_one
0.000016    16512 nat.choose_mul_factorial_mul_factorial
0.000017    16513 char_zero_of_inj_zero
0.000016    16514 complex.char_zero_complex
0.000016    16515 nat.choose_pos
0.000017    16516 complex.exp_add
0.000016    16517 norm_num.add_pos_neg_neg
0.000017    16518 norm_num.add_neg_pos_neg
0.000016    16519 finset.range_one
0.000016    16520 cau_seq.lim_const
0.000017    16521 complex.exp.equations._eqn_1
0.000016    16522 cau_seq.lim_neg
0.000017    16523 cau_seq.lim_add
0.000017    16524 is_absolute_value.sub_abv_le_abv_sub
0.000016    16525 is_absolute_value.abs_abv_sub_le_abv_sub
0.000016    16526 complex.abs_abs_sub_le_abs_sub
0.000017    16527 complex.is_cau_seq_abs
0.000016    16528 complex.cau_seq_abs._proof_1
0.000016    16529 complex.cau_seq_abs
0.000016    16530 complex.lim_abs
0.000016    16531 cau_seq.const_le
0.000017    16532 cau_seq.le_of_eq_of_le
0.000014    16533 cau_seq.lim_le
0.000014    16534 cau_seq.le_of_exists
0.000016    16535 div_le_div_right
0.000017    16536 nat.factorial_pos
0.000017    16537 mul_le_one
0.000016    16538 pow_le_one
0.000017    16539 nat.factorial_mul_pow_le_factorial
0.000016    16540 geom_sum_def
0.000016    16541 geom_sum_inv
0.000017    16542 complex.sum_div_factorial_le
0.000016    16543 complex.exp_bound
0.000016    16544 norm_num.nat_succ_eq
0.000017    16545 norm_num.bit0_succ
0.000016    16546 norm_num.nat_cast_bit1
0.000017    16547 norm_num.nat_cast_one
0.000016    16548 norm_num.nat_cast_bit0
0.000017    16549 le_of_mul_le_mul_right
0.000016    16550 norm_num.clear_denom_le
0.000016    16551 norm_num.lt_bit1_bit0
0.000017    16552 norm_num.le_bit1_bit0
0.000016    16553 norm_num.sle_one_bit0
0.000017    16554 pow_bit0
0.000016    16555 pow_bit0_nonneg
0.000017    16556 pow_two_nonneg
0.000016    16557 complex.abs_exp_sub_one_sub_id_le
0.000016    16558 continuous_pow
0.000016    16559 asymptotics.is_o_pow_pow
0.000017    16560 asymptotics.is_o_pow_id
0.000016    16561 complex.has_deriv_at_exp
0.000017    16562 complex.differentiable_exp
0.000016    16563 complex.continuous_exp
0.000017    16564 fderiv
0.000016    16565 deriv
0.000017    16566 differentiable_on
0.000016    16567 deriv_within
0.000016    16568 differentiable_within_at.mono
0.000017    16569 has_ftaylor_series_up_to_on.differentiable_on
0.000016    16570 times_cont_diff_within_at.differentiable_within_at'
0.000017    16571 times_cont_diff_within_at.differentiable_within_at
0.000027    16572 times_cont_diff_on.differentiable_on
1.955177    16573 formal_multilinear_series.shift._proof_1
0.000093    16574 formal_multilinear_series.shift
0.000023    16575 continuous_multilinear_curry_right_equiv'._proof_1
0.000015    16576 continuous_multilinear_curry_right_equiv'._proof_3
0.000014    16577 continuous_multilinear_curry_right_equiv'._proof_2
0.000015    16578 continuous_multilinear_curry_right_equiv'
0.000014    16579 fin.cast_succ_fin_succ
0.000014    16580 fin.succ_last
0.000015    16581 fin.cons_snoc_eq_snoc_cons
0.000014    16582 nat.sub_le_left_iff_le_add
0.000017    16583 nat.sub_le_right_iff_le_add
0.000017    16584 nat.pred_le_iff
0.000014    16585 differentiable_within_at.continuous_within_at
0.000014    16586 differentiable_on.continuous_on
0.000019    16587 has_ftaylor_series_up_to_on_succ_iff_right
0.000019    16588 times_cont_diff_within_at_nat
0.000015    16589 formal_multilinear_series.unshift._proof_1
0.000017    16590 formal_multilinear_series.unshift._proof_2
0.000016    16591 formal_multilinear_series.unshift._main
0.000015    16592 formal_multilinear_series.unshift
0.000014    16593 has_ftaylor_series_up_to_on.congr
0.000017    16594 times_cont_diff_within_at_succ_iff_has_fderiv_within_at
0.000019    16595 times_cont_diff_within_at.congr_of_eventually_eq
0.000014    16596 times_cont_diff_within_at.congr_of_eventually_eq'
0.000017    16597 insert_mem_nhds_within_insert
0.000017    16598 times_cont_diff_within_at.mono_of_mem
0.000016    16599 times_cont_diff_within_at.congr_nhds
0.000015    16600 times_cont_diff_within_at_congr_nhds
0.000014    16601 times_cont_diff_within_at_inter'
0.000016    16602 times_cont_diff_within_at.mono
0.000018    16603 filter.eventually_of_mem
0.000015    16604 filter.eventually_eq_of_mem
0.000016    16605 times_cont_diff_on_succ_iff_fderiv_within
0.000015    16606 linear_map.comp_multilinear_map._proof_1
0.000014    16607 linear_map.comp_multilinear_map._proof_2
0.000017    16608 linear_map.comp_multilinear_map
0.000014    16609 continuous_linear_map.comp_continuous_multilinear_map._proof_1
0.000016    16610 continuous_linear_map.comp_continuous_multilinear_map._proof_2
0.000017    16611 continuous_linear_map.comp_continuous_multilinear_map._proof_3
0.000017    16612 continuous_linear_map.comp_continuous_multilinear_map
0.000017    16613 continuous_linear_map.comp_continuous_multilinear_mapL._proof_1
0.000016    16614 continuous_linear_map.comp_continuous_multilinear_mapL._proof_2
0.000016    16615 continuous_linear_map.comp_continuous_multilinear_mapL._proof_3
0.000015    16616 continuous_linear_map.comp_continuous_multilinear_mapL._proof_4
0.000014    16617 linear_map.mk_continuous₂._proof_1
0.000015    16618 linear_map.mk_continuous₂._proof_2
0.000027    16619 linear_map.mk_continuous₂._proof_3
0.000016    16620 linear_map.mk_continuous₂._proof_4
0.000014    16621 linear_map.mk_continuous₂._proof_5
0.000014    16622 linear_map.mk_continuous₂._proof_6
0.000018    16623 linear_map.mk_continuous₂._proof_7
0.000017    16624 linear_map.mk_continuous_apply
0.000016    16625 linear_map.mk_continuous₂._proof_8
0.000017    16626 linear_map.mk_continuous₂._proof_9
0.000016    16627 linear_map.mk_continuous_norm_le'
0.000017    16628 monotone_mul_right_of_nonneg
0.000017    16629 max_mul_of_nonneg
0.000016    16630 linear_map.mk_continuous₂._proof_10
0.000017    16631 linear_map.mk_continuous₂
0.000016    16632 continuous_linear_map.comp_continuous_multilinear_mapL._proof_5
0.000017    16633 continuous_linear_map.comp_continuous_multilinear_mapL._proof_6
0.000016    16634 continuous_linear_map.comp_continuous_multilinear_mapL._proof_7
0.000016    16635 linear_map.mk₂._proof_1
0.000017    16636 linear_map.mk₂'._proof_1
0.000016    16637 linear_map.mk₂'._proof_2
0.000016    16638 linear_map.mk₂'._proof_3
0.000017    16639 linear_map.mk₂'
0.000016    16640 linear_map.mk₂._proof_2
0.000016    16641 linear_map.mk₂
0.000017    16642 continuous_linear_map.comp_continuous_multilinear_mapL._proof_8
0.000016    16643 continuous_linear_map.comp_continuous_multilinear_mapL._proof_9
0.000016    16644 continuous_linear_map.comp_continuous_multilinear_mapL._proof_10
0.000017    16645 continuous_linear_map.comp_continuous_multilinear_map_coe
0.000016    16646 continuous_multilinear_map.smul_apply
0.000017    16647 continuous_linear_map.comp_continuous_multilinear_mapL._proof_11
0.000016    16648 continuous_linear_map.le_op_norm_of_le
0.000017    16649 continuous_linear_map.norm_comp_continuous_multilinear_map_le
0.000016    16650 continuous_linear_map.comp_continuous_multilinear_mapL._proof_12
0.000017    16651 continuous_linear_map.comp_continuous_multilinear_mapL
0.000017    16652 has_ftaylor_series_up_to_on.continuous_linear_map_comp
0.000016    16653 times_cont_diff_within_at.continuous_linear_map_comp
1.169753    16654 continuous_linear_equiv.comp_times_cont_diff_within_at_iff
0.000091    16655 continuous_linear_equiv.comp_times_cont_diff_on_iff
0.000024    16656 continuous_linear_equiv.self_comp_symm
0.000015    16657 continuous_within_at.preimage_mem_nhds_within'
0.000015    16658 multilinear_map.comp_linear_map._proof_1
0.000014    16659 multilinear_map.comp_linear_map._proof_2
0.000014    16660 multilinear_map.comp_linear_map
0.000015    16661 continuous_multilinear_map.comp_continuous_linear_map._proof_1
0.000014    16662 continuous_multilinear_map.comp_continuous_linear_map._proof_2
0.000014    16663 continuous_infi_rng
0.000017    16664 continuous_pi
0.000017    16665 continuous_multilinear_map.comp_continuous_linear_map._proof_3
0.000017    16666 continuous_multilinear_map.comp_continuous_linear_map
0.000014    16667 is_linear_map.map_add
0.000015    16668 is_linear_map.map_smul
0.000014    16669 is_linear_map.mk'
0.000014    16670 is_bounded_linear_map.to_is_linear_map
0.000016    16671 is_bounded_linear_map.to_linear_map._proof_1
0.000015    16672 is_bounded_linear_map.to_linear_map
0.000016    16673 is_bounded_linear_map.to_continuous_linear_map._proof_1
0.000017    16674 is_bounded_linear_map.to_continuous_linear_map._proof_2
0.000016    16675 is_bounded_linear_map.to_continuous_linear_map._match_1
0.000014    16676 is_bounded_linear_map.to_continuous_linear_map._proof_3
0.000014    16677 is_bounded_linear_map.to_continuous_linear_map
0.000018    16678 is_bounded_linear_map_continuous_multilinear_map_comp_linear
0.000015    16679 fin.comp_cons
0.000016    16680 is_bounded_linear_map.has_fderiv_at_filter
0.000017    16681 is_bounded_linear_map.has_fderiv_at
0.000017    16682 is_bounded_linear_map.dcases_on
0.000016    16683 tendsto_norm_sub_self
0.000015    16684 is_bounded_linear_map.tendsto
0.000014    16685 is_bounded_linear_map.continuous
0.000016    16686 has_ftaylor_series_up_to_on.comp_continuous_linear_map
0.000017    16687 times_cont_diff_within_at.comp_continuous_linear_map
0.000017    16688 times_cont_diff_on.comp_continuous_linear_map
0.000016    16689 continuous_linear_equiv.times_cont_diff_on_comp_iff
0.000016    16690 with_top.nat_induction
0.000017    16691 times_cont_diff_on_succ_iff_has_fderiv_within_at
0.000017    16692 continuous_within_at_inter'
0.000016    16693 times_cont_diff_on.mono
0.000016    16694 times_cont_diff.times_cont_diff_on
0.000017    16695 times_cont_diff.of_le
0.000016    16696 differentiable_on.equations._eqn_1
0.000017    16697 differentiable_at.equations._eqn_1
0.000016    16698 differentiable_within_at_univ
0.000017    16699 differentiable_on_univ
0.000016    16700 differentiable_at.has_fderiv_at
0.000016    16701 fderiv.equations._eqn_1
0.000016    16702 fderiv_zero_of_not_differentiable_at
0.000017    16703 fderiv_within_univ
0.000016    16704 times_cont_diff_on_top_iff_fderiv_within
0.000017    16705 times_cont_diff_top_iff_fderiv
0.000016    16706 is_bounded_bilinear_map.differentiable_at
0.000016    16707 is_bounded_bilinear_map.differentiable
0.000017    16708 has_fderiv_at.fderiv
0.000016    16709 is_bounded_bilinear_map.fderiv
0.000016    16710 is_bounded_linear_map.differentiable_at
0.000017    16711 is_bounded_linear_map.differentiable
0.000017    16712 is_bounded_linear_map.fderiv
0.000016    16713 has_fderiv_at_const
0.000017    16714 differentiable_at_const
0.000016    16715 differentiable_const
0.000016    16716 fderiv_const_apply
0.000016    16717 fderiv_const
0.000017    16718 iterated_fderiv._proof_1
0.000016    16719 iterated_fderiv
0.000017    16720 times_cont_diff_on.continuous_on_iterated_fderiv_within
0.000016    16721 times_cont_diff_on.differentiable_on_iterated_fderiv_within
0.000017    16722 times_cont_diff_on_of_continuous_on_differentiable_on
0.000017    16723 times_cont_diff_on_iff_continuous_on_differentiable_on
0.000016    16724 iterated_fderiv_zero_apply
0.000016    16725 iterated_fderiv_succ_apply_left
0.000017    16726 iterated_fderiv_within_univ
0.000016    16727 times_cont_diff_iff_continuous_differentiable
0.000017    16728 times_cont_diff_of_differentiable_iterated_fderiv
0.000016    16729 iterated_fderiv_within_zero_fun
0.000017    16730 times_cont_diff_zero_fun
0.000016    16731 times_cont_diff_const
0.000017    16732 is_bounded_linear_map.times_cont_diff
0.000016    16733 is_bounded_bilinear_map.times_cont_diff
0.000017    16734 continuous_linear_map.op_norm_comp_le
0.000016    16735 is_bounded_bilinear_map_comp
0.000016    16736 multilinear_map.prod._proof_1
0.000017    16737 multilinear_map.prod._proof_2
0.000017    16738 multilinear_map.prod
0.000016    16739 continuous_multilinear_map.prod._proof_1
0.000017    16740 continuous_multilinear_map.prod._proof_2
0.000016    16741 continuous_multilinear_map.prod._proof_3
0.000017    16742 continuous_multilinear_map.prod
0.000016    16743 continuous_multilinear_map.prodL._proof_1
3.745547    16744 continuous_multilinear_map.prodL._proof_2
0.000097    16745 continuous_multilinear_map.prodL._proof_3
0.000022    16746 continuous_multilinear_map.prodL._proof_4
0.000014    16747 continuous_multilinear_map.prodL._proof_5
0.000014    16748 continuous_multilinear_map.prodL._proof_6
0.000014    16749 continuous_multilinear_map.prodL._proof_7
0.000015    16750 continuous_multilinear_map.prodL._proof_8
0.000014    16751 continuous_linear_map.fst
0.000014    16752 continuous_linear_map.snd
0.000014    16753 continuous_multilinear_map.prodL._proof_9
0.000017    16754 continuous_multilinear_map.prodL._proof_10
0.000018    16755 continuous_multilinear_map.prod_apply
0.000016    16756 prod.norm_def
0.000017    16757 continuous_multilinear_map.op_norm_prod
0.000016    16758 continuous_multilinear_map.prodL._proof_11
0.000015    16759 continuous_multilinear_map.prodL
0.000014    16760 linear_isometry_equiv.has_fderiv_at
0.000014    16761 has_ftaylor_series_up_to_on.prod
0.000014    16762 times_cont_diff_within_at.prod
0.000015    16763 times_cont_diff_on.prod
0.000016    16764 _private.3101828469.times_cont_diff_on.comp_same_univ
0.000015    16765 times_cont_diff_on.comp
0.000014    16766 times_cont_diff.comp_times_cont_diff_on
0.000017    16767 is_bounded_bilinear_map.is_bounded_linear_map_left
0.000019    16768 deriv_within.equations._eqn_1
0.000014    16769 is_bounded_bilinear_map.is_bounded_linear_map_right
0.000014    16770 has_continuous_mul.has_continuous_smul
0.000014    16771 continuous_linear_map.norm_smul_right_apply
0.000017    16772 is_bounded_bilinear_map_smul_right
0.000017    16773 times_cont_diff_on_succ_iff_deriv_within
0.000017    16774 unique_diff_within_at_of_mem_nhds
0.000018    16775 is_open.unique_diff_within_at
0.000017    16776 is_open.unique_diff_on
0.000016    16777 times_cont_diff_within_at.congr
0.000017    16778 times_cont_diff_on.congr
0.000016    16779 times_cont_diff_on_congr
0.000017    16780 fderiv_within_of_mem_nhds
0.000017    16781 fderiv_within_of_open
0.000016    16782 deriv_within_of_open
0.000017    16783 times_cont_diff_on_succ_iff_deriv_of_open
0.000016    16784 times_cont_diff_succ_iff_deriv
0.000017    16785 continuous_linear_map.ext_ring_iff
0.000017    16786 continuous_linear_map.smul_right_one_eq_iff
0.000017    16787 has_deriv_at.unique
0.000017    16788 deriv.equations._eqn_1
0.000016    16789 differentiable_at.has_deriv_at
0.000017    16790 has_deriv_at.deriv
0.000016    16791 complex.deriv_exp
0.000016    16792 complex.times_cont_diff_exp
0.000017    16793 complex.has_strict_deriv_at_exp
0.000016    16794 has_strict_deriv_at.cexp
0.000017    16795 has_strict_fderiv_at_id
0.000016    16796 has_strict_deriv_at_id
0.000017    16797 continuous_linear_map.has_strict_fderiv_at
0.000017    16798 has_strict_fderiv_at.neg
0.000016    16799 has_strict_deriv_at.neg
0.000017    16800 complex.has_strict_deriv_at_cos
0.000017    16801 complex.has_deriv_at_cos
0.000016    16802 real.has_deriv_at_cos
0.000017    16803 real.differentiable_cos
0.000016    16804 real.continuous_cos
0.000017    16805 real.continuous_on_cos
0.000017    16806 eq_zero_of_neg_eq
0.000016    16807 complex.conj.equations._eqn_1
0.000017    16808 ring_hom.coe_mk
0.000016    16809 complex.conj_of_real
0.000017    16810 complex.eq_conj_iff_real
0.000016    16811 complex.eq_conj_iff_re
0.000017    16812 complex.cosh
0.000017    16813 complex.two_cosh
0.000016    16814 complex.two_cos
0.000016    16815 complex.cosh_mul_I
0.000017    16816 complex.conj_neg_I
0.000017    16817 complex.cosh.equations._eqn_1
0.000016    16818 ring_hom.map_sub
0.000016    16819 complex.is_cau_seq_conj
0.000017    16820 complex.cau_seq_conj
0.000017    16821 cau_seq.mk_to_fun
0.000016    16822 complex.cau_seq_conj.equations._eqn_1
0.000017    16823 complex.lim_aux.equations._eqn_1
0.000016    16824 complex.cau_seq_re.equations._eqn_1
0.000017    16825 complex.cau_seq_im.equations._eqn_1
0.000016    16826 complex.lim_eq_lim_im_add_lim_re
0.000017    16827 complex.lim_re
0.000016    16828 complex.lim_im
0.000017    16829 complex.lim_conj
0.000017    16830 complex.exp_conj
0.000016    16831 complex.conj_bit0
0.000017    16832 complex.cosh_conj
0.000016    16833 complex.abs_zero
0.000017    16834 complex.exp_zero
0.000016    16835 complex.exp_ne_zero
0.000017    16836 complex.exp_neg
0.000016    16837 complex.cosh_neg
0.000017    16838 complex.cos_conj
0.000017    16839 complex.of_real_cos_of_real_re
0.000017    16840 complex.of_real_cos
0.000016    16841 complex.sinh
0.000016    16842 complex.two_sinh
0.000017    16843 _private.195308873.cosh_add_aux
0.000016    16844 complex.cosh_add
0.000017    16845 complex.two_sin
0.000016    16846 mul_neg_one
0.000017    16847 complex.sinh_mul_I
0.000016    16848 complex.cos_add
0.000017    16849 complex.cos_two_mul'
0.000017    16850 complex.I_sq
0.000017    16851 sq_sub_sq
0.000016    16852 add_add_sub_cancel
0.000017    16853 complex.cosh_add_sinh
0.000017    16854 add_sub_sub_cancel
0.000016    16855 complex.cosh_sub_sinh
0.000015    16856 complex.cosh_sq_sub_sinh_sq
0.000016    16857 complex.sin_sq_add_cos_sq
2.629313    16858 sub_add_eq_add_sub
0.000097    16859 complex.cos_two_mul
0.000021    16860 complex.of_real_sub
0.000014    16861 complex.of_real_pow
0.000014    16862 real.cos_two_mul
0.000014    16863 sub_le_sub_right
0.000015    16864 bit1_pos
0.000015    16865 bit1_pos'
0.000014    16866 norm_num.add_bit1_bit0
0.000015    16867 norm_num.add_bit0_bit0
0.000014    16868 norm_num.one_add
0.000017    16869 norm_num.sle_bit0_bit0
0.000017    16870 norm_num.bit1_succ
0.000017    16871 norm_num.sle_bit1_bit0
0.000016    16872 norm_num.lt_bit0_bit1
0.000017    16873 norm_num.le_bit0_bit1
0.000015    16874 norm_num.sle_one_bit1
0.000013    16875 complex.of_real_div
0.000019    16876 complex.cos.equations._eqn_1
0.000014    16877 add_div
0.000018    16878 div_sub_div_same
0.000017    16879 sub_div
0.000016    16880 complex.bit0_re
0.000015    16881 complex.bit0_im
0.000014    16882 norm_num.mul_bit1_bit1
0.000018    16883 tactic.ring.horner_add_horner_lt
0.000015    16884 even
0.000016    16885 abs_hom._proof_1
0.000017    16886 linear_ordered_ring.to_nontrivial
0.000016    16887 abs_one
0.000017    16888 abs_hom
0.000016    16889 abs_pow
0.000017    16890 max_eq_left_iff
0.000016    16891 neg_le_iff_add_nonneg
0.000017    16892 neg_le_self_iff
0.000016    16893 abs_eq_self
0.000017    16894 pow_even_nonneg
0.000016    16895 pow_even_abs
0.000016    16896 even_bit0
0.000017    16897 pow_bit0_abs
0.000016    16898 half_add_self
0.000017    16899 add_halves'
0.000016    16900 decidable.le_iff_le_iff_lt_iff_lt
0.000017    16901 decidable.mul_le_mul_right
0.000016    16902 real.cos_bound
0.000017    16903 real.cos_pos_of_le_one
0.000016    16904 real.cos_one_pos
0.000016    16905 norm_num.pow_bit0
0.000017    16906 real.cos_one_le
0.000016    16907 real.cos_two_neg
0.000017    16908 real.exists_cos_eq_zero
0.000014    16909 real.pi
0.000016    16910 complex.exp_nat_mul
0.000017    16911 real.exp
0.000016    16912 complex.cos_add_sin_I
0.000017    16913 complex.exp_mul_I
0.000016    16914 complex.exp_add_mul_I
0.000016    16915 complex.exp_eq_exp_re_mul_sin_add_cos
0.000017    16916 complex.exp_of_real_re
0.000016    16917 complex.cos_of_real_re
0.000017    16918 complex.sin_of_real_re
0.000016    16919 complex.sinh.equations._eqn_1
0.000016    16920 complex.sinh_conj
0.000017    16921 complex.sinh_neg
0.000017    16922 complex.sin_conj
0.000016    16923 complex.of_real_sin_of_real_re
0.000017    16924 complex.sin_of_real_im
0.000016    16925 complex.of_real_exp_of_real_re
0.000017    16926 complex.exp_of_real_im
0.000016    16927 complex.cos_of_real_im
0.000017    16928 real.exp.equations._eqn_1
0.000016    16929 real.exp_ne_zero
0.000016    16930 real.integral_domain
0.000017    16931 mul_self_eq_one_iff
0.000016    16932 complex.of_real_sin
0.000017    16933 real.sin_sq_add_cos_sq
0.000016    16934 eq_zero_of_mul_self_eq_zero
0.000017    16935 real.sin_eq_zero_iff_cos_eq
0.000016    16936 real.exp_zero
0.000016    16937 real.exp_add
0.000017    16938 lt_mul_iff_one_lt_left
0.000016    16939 add_neg_of_nonpos_of_neg
0.000016    16940 add_nonpos
0.000017    16941 cau_seq.le_of_le_of_eq
0.000016    16942 cau_seq.le_lim
0.000016    16943 real.add_semigroup
0.000017    16944 is_add_group_hom
0.000016    16945 add_cancel_monoid.to_add_left_cancel_monoid
0.000017    16946 is_add_monoid_hom.of_add
0.000016    16947 is_add_group_hom.to_is_add_hom
0.000017    16948 is_add_group_hom.to_is_add_monoid_hom
0.000016    16949 complex.re.is_add_group_hom
0.000017    16950 real.add_one_le_exp_of_nonneg
0.000016    16951 sub_neg_of_lt
0.000016    16952 real.one_le_exp
0.000017    16953 complex.of_real_neg
0.000016    16954 complex.of_real_exp
0.000016    16955 real.exp_neg
0.000017    16956 real.exp_pos
0.000016    16957 add_neg
0.000016    16958 real.exp_strict_mono
0.000017    16959 real.exp_injective
0.000016    16960 real.exp_eq_one_iff
0.000017    16961 sub_floor_div_mul_nonneg
0.000016    16962 real.pi.equations._eqn_1
0.000016    16963 real.one_le_pi_div_two
0.000015    16964 real.two_le_pi
0.000210    16965 real.pi_pos
0.000024    16966 _private.2483967321.pow_le_pow_of_le_one_aux
0.000018    16967 nat.exists_eq_add_of_le
0.000017    16968 pow_le_pow_of_le_one
0.000017    16969 norm_num.mul_pos_neg
0.000017    16970 norm_num.add_bit1_bit1
0.000016    16971 norm_num.adc_bit1_bit0
0.000017    16972 norm_num.adc_bit0_bit1
0.000017    16973 norm_num.adc_bit0_one
0.000016    16974 neg_of_neg_pos
0.000017    16975 linarith.mul_neg
0.000016    16976 cancel_factors.sub_subst
0.000017    16977 cancel_factors.add_subst
0.000017    16978 cancel_factors.mul_subst
0.000017    16979 mul_div_comm
0.000016    16980 cancel_factors.div_subst
0.000016    16981 linarith.mul_nonpos
0.000017    16982 nat_mul_inj
0.000017    16983 nat_mul_inj'
0.000016    16984 bit0_injective
0.000017    16985 bit0_eq_bit0
0.000016    16986 complex.of_real_bit1
0.000017    16987 complex.bit1_re
0.000016    16988 complex.bit1_im
0.000016    16989 real.sin_bound
0.000017    16990 real.sin_pos_of_pos_of_le_one
0.000016    16991 _private.209248289.sinh_add_aux
0.000017    16992 complex.sinh_add
0.000017    16993 complex.sin_add
0.000016    16994 complex.sin_two_mul
0.000016    16995 real.sin_two_mul
0.000017    16996 real.sin_pos_of_pos_of_le_two
0.000016    16997 real.sin.equations._eqn_1
0.000017    16998 real.sin_add
0.978939    16999 real.cos_pi_div_two
0.000089    17000 real.sin_pi
0.000024    17001 real.cos.equations._eqn_1
0.000015    17002 complex.cos_neg
0.000014    17003 real.cos_neg
0.000015    17004 zero_pow'
0.000014    17005 real.cos_pi
0.000014    17006 complex.sin_neg
0.000014    17007 real.sin_neg
0.000018    17008 real.sin_pi_sub
0.000015    17009 real.pi_div_two_le_two
0.000016    17010 real.pi_le_four
0.000015    17011 le_of_not_ge
0.000014    17012 real.sin_pos_of_pos_of_lt_pi
0.000014    17013 sub_floor_div_mul_lt
0.000014    17014 complex.sin_zero
0.000016    17015 real.sin_zero
0.000018    17016 real.sin_nat_mul_pi
0.000018    17017 real.sin_int_mul_pi
0.000016    17018 real.sin_eq_zero_iff
0.000017    17019 int.mod_two_eq_zero_or_one
0.000015    17020 int.cast_bit0
0.000016    17021 int.cast_two
0.000016    17022 real.cos_add
0.000015    17023 complex.cos_zero
0.000017    17024 real.cos_zero
0.000016    17025 real.cos_two_pi
0.000016    17026 real.sin_two_pi
0.000017    17027 real.cos_nat_mul_two_pi
0.000016    17028 real.cos_int_mul_two_pi
0.000017    17029 real.cos_int_mul_two_pi_add_pi
0.000016    17030 norm_num.lt_neg_pos
0.000017    17031 real.cos_eq_one_iff
0.000014    17032 complex.of_real_int_cast
0.000017    17033 complex.int_cast_re
0.000016    17034 complex.int_cast_im
0.000015    17035 not_lt_of_gt
0.000014    17036 complex.exp_eq_one_iff
0.000017    17037 mul_div_assoc'
0.000017    17038 real.pi_ne_zero
0.000016    17039 complex.two_pi_I_ne_zero
0.000017    17040 complex.is_primitive_root_exp_of_coprime
0.000016    17041 nat.coprime_one_left
0.000017    17042 complex.is_primitive_root_exp
0.000016    17043 complex.card_primitive_roots
0.000017    17044 pow_bit0_pos
0.000016    17045 bex.imp_right
0.000016    17046 intermediate_value_univ₂_eventually₁
0.000017    17047 filter.comap_coe_ne_bot_of_le_principal
0.000017    17048 filter.eventually_comap'
0.000016    17049 is_preconnected.intermediate_value₂_eventually₁
0.000017    17050 eventually_le_of_tendsto_lt
0.000016    17051 is_preconnected.intermediate_value_Ioc
0.000017    17052 set.ord_connected.inter
0.000016    17053 set.ord_connected_Ioi
0.000017    17054 set.ord_connected_Iic
0.000016    17055 set.ord_connected_Ioc
0.000017    17056 is_preconnected_Ioc
0.000017    17057 is_glb.nhds_within_ne_bot
0.000016    17058 lower_bounds_mono_set
0.000016    17059 is_lub.of_subset_of_superset
0.000017    17060 is_glb.of_subset_of_superset
0.000016    17061 is_glb_Ioo
0.000017    17062 is_least_Icc
0.000016    17063 is_glb_Icc
0.000016    17064 is_glb_Ioc
0.000017    17065 set.right_mem_Ioc
0.000016    17066 set.nonempty_Ioc
0.000017    17067 left_nhds_within_Ioc_ne_bot
0.000016    17068 intermediate_value_Ioc
0.000015    17069 category_theory.bundled
0.000014    17070 Top
0.000017    17071 topological_space.opens
0.000018    17072 category_theory.bundled.α
0.000017    17073 category_theory.bundled.has_coe_to_sort
0.000016    17074 Top.has_coe_to_sort
0.000017    17075 category_theory.bundled.str
0.000017    17076 Top.topological_space
0.000016    17077 subtype.partial_order
0.000016    17078 topological_space.opens.partial_order
0.000017    17079 Top.presheaf.sheaf_condition.opens_le_cover
0.000017    17080 category_theory.has_hom
0.000016    17081 category_theory.has_hom.hom
0.000017    17082 category_theory.category_struct
0.000016    17083 category_theory.category_struct.to_has_hom
0.000017    17084 category_theory.category_struct.comp
0.000016    17085 category_theory.category_struct.id
0.000017    17086 category_theory.category
0.000016    17087 category_theory.category.to_category_struct
0.000017    17088 category_theory.functor
0.000017    17089 category_theory.functor.obj
0.000017    17090 category_theory.comma
0.000016    17091 category_theory.discrete
0.000016    17092 category_theory.small_category
0.000017    17093 category_theory.discrete_category._proof_1
0.000017    17094 ulift.decidable_eq
0.000017    17095 decidable_eq_of_subsingleton._main
0.000016    17096 decidable_eq_of_subsingleton
0.000017    17097 subsingleton_prop
0.000016    17098 category_theory.discrete_category._proof_2
0.000017    17099 category_theory.discrete_category._proof_3
0.000016    17100 category_theory.discrete_category._proof_4
0.000017    17101 category_theory.discrete_category
0.000016    17102 category_theory.functor.map
0.000017    17103 category_theory.nat_trans
0.000016    17104 category_theory.category.comp_id
0.000017    17105 category_theory.category.id_comp
0.000016    17106 category_theory.nat_trans.id._proof_1
0.000017    17107 category_theory.nat_trans.id
0.000016    17108 category_theory.nat_trans.app
0.000016    17109 category_theory.category.assoc
0.000023    17110 category_theory.nat_trans.naturality
0.000016    17111 category_theory.nat_trans.naturality_assoc
0.000014    17112 category_theory.nat_trans.vcomp._proof_1
0.000015    17113 category_theory.nat_trans.vcomp
0.000013    17114 category_theory.nat_trans.cases_on
0.000015    17115 category_theory.nat_trans.ext
0.000014    17116 category_theory.functor.category._proof_1
0.000014    17117 category_theory.functor.category._proof_2
0.652143    17118 category_theory.functor.category._proof_3
0.000094    17119 category_theory.functor.category
0.000023    17120 category_theory.functor.const._proof_1
0.000014    17121 category_theory.functor.const._proof_2
0.000015    17122 category_theory.functor.const._proof_3
0.000014    17123 category_theory.functor.const._proof_4
0.000014    17124 category_theory.functor.const._proof_5
0.000015    17125 category_theory.functor.const._proof_6
0.000014    17126 category_theory.functor.const._proof_7
0.000014    17127 category_theory.functor.const._proof_8
0.000017    17128 category_theory.functor.const._proof_9
0.000017    17129 category_theory.functor.const
0.000017    17130 category_theory.functor.from_punit
0.000015    17131 category_theory.structured_arrow
0.000016    17132 category_theory.pairwise
0.000015    17133 category_theory.pairwise.hom
0.000014    17134 category_theory.pairwise.cases_on
0.000013    17135 category_theory.pairwise.id._main
0.000015    17136 category_theory.pairwise.id
0.000016    17137 category_theory.pairwise.hom.cases_on
0.000018    17138 category_theory.pairwise.no_confusion_type
0.000018    17139 category_theory.pairwise.no_confusion
0.000018    17140 category_theory.pairwise.comp._main
0.000016    17141 category_theory.pairwise.comp
0.000017    17142 category_theory.pairwise.category_theory.category._proof_1
0.000017    17143 category_theory.pairwise.category_theory.category._proof_2
0.000017    17144 category_theory.pairwise.category_theory.category._proof_3
0.000016    17145 category_theory.pairwise.category_theory.category
0.000017    17146 category_theory.induced_category
0.000016    17147 category_theory.induced_category.category._proof_1
0.000014    17148 category_theory.induced_category.category._proof_2
0.000014    17149 category_theory.induced_category.category._proof_3
0.000014    17150 category_theory.induced_category.category
0.000017    17151 category_theory.full_subcategory
0.000016    17152 preorder.small_category._proof_1
0.000017    17153 preorder.small_category._proof_2
0.000016    17154 preorder.small_category._proof_3
0.000017    17155 preorder.small_category._proof_4
0.000016    17156 preorder.small_category
0.000017    17157 Top.presheaf.sheaf_condition.opens_le_cover.category_theory.category
0.000016    17158 topological_space.opens.interior
0.000017    17159 topological_space.opens.gi._proof_1
0.000016    17160 topological_space.opens.set.has_coe
0.000016    17161 galois_connection.dual
0.000017    17162 topological_space.opens.gc
0.000016    17163 topological_space.opens.gi._proof_2
0.000017    17164 topological_space.opens.gi._proof_3
0.000017    17165 topological_space.opens.gi._proof_4
0.000016    17166 topological_space.opens.gi
0.000017    17167 topological_space.opens.has_subset
0.000016    17168 topological_space.opens.complete_lattice._proof_1
0.000017    17169 interior_univ
0.000016    17170 topological_space.opens.complete_lattice._proof_2
0.000017    17171 topological_space.opens.complete_lattice._proof_3
0.000016    17172 topological_space.opens.complete_lattice._proof_4
0.000016    17173 topological_space.opens.complete_lattice._proof_5
0.000017    17174 topological_space.opens.complete_lattice._proof_6
0.000017    17175 topological_space.opens.complete_lattice._proof_7
0.000016    17176 topological_space.opens.complete_lattice._proof_8
0.000017    17177 topological_space.opens.complete_lattice._proof_9
0.000016    17178 topological_space.opens.complete_lattice._proof_10
0.000016    17179 topological_space.opens.complete_lattice
0.000017    17180 Top.presheaf.sheaf_condition.pairwise_to_opens_le_cover_obj._main
0.000016    17181 Top.presheaf.sheaf_condition.pairwise_to_opens_le_cover_obj
0.000017    17182 category_theory.hom_of_le
0.000016    17183 Top.presheaf.sheaf_condition.pairwise_to_opens_le_cover_map._main
0.000017    17184 Top.presheaf.sheaf_condition.pairwise_to_opens_le_cover_map
0.000016    17185 Top.presheaf.sheaf_condition.pairwise_to_opens_le_cover._proof_1
0.000017    17186 Top.presheaf.sheaf_condition.pairwise_to_opens_le_cover._proof_2
0.000016    17187 Top.presheaf.sheaf_condition.pairwise_to_opens_le_cover
0.000016    17188 Top.presheaf.sheaf_condition.opens_le_cover.index._proof_1
0.000017    17189 Top.presheaf.sheaf_condition.opens_le_cover.index
0.000016    17190 Top.presheaf.sheaf_condition.opens_le_cover.hom_to_index._proof_1
0.000017    17191 Top.presheaf.sheaf_condition.opens_le_cover.hom_to_index
0.000017    17192 Top.presheaf.sheaf_condition.category_theory.structured_arrow.nonempty
0.000016    17193 category_theory.limits.has_zero_morphisms
0.000016    17194 category_theory.limits.has_zero_morphisms.has_zero
0.000017    17195 category_theory.limits.binary_bicone
0.000017    17196 category_theory.limits.cone
0.167767    17197 category_theory.limits.cone.X
0.000094    17198 category_theory.limits.cone.π
0.000023    17199 category_theory.limits.is_limit
0.000015    17200 category_theory.limits.walking_pair
0.000014    17201 category_theory.discrete.functor._proof_1
0.000014    17202 category_theory.discrete.functor._proof_2
0.000014    17203 category_theory.discrete.functor._proof_3
0.000014    17204 category_theory.discrete.functor._proof_4
0.000014    17205 category_theory.discrete.functor._proof_5
0.000014    17206 category_theory.discrete.functor._proof_6
0.000017    17207 category_theory.discrete.functor._proof_7
0.000018    17208 category_theory.discrete.functor
0.000016    17209 category_theory.limits.walking_pair.cases_on
0.000017    17210 category_theory.limits.pair
0.000015    17211 category_theory.limits.binary_fan
0.000014    17212 ulift.ext
0.000017    17213 plift.ext
0.000015    17214 category_theory.functor.map_id
0.000014    17215 category_theory.discrete.functor_map_id
0.000014    17216 category_theory.limits.binary_fan.mk._proof_1
0.000014    17217 category_theory.limits.binary_fan.mk
0.000017    17218 category_theory.limits.binary_bicone.X
0.000017    17219 category_theory.limits.binary_bicone.fst
0.000018    17220 category_theory.limits.binary_bicone.snd
0.000017    17221 category_theory.limits.binary_bicone.to_cone
0.000016    17222 category_theory.limits.cocone
0.000018    17223 category_theory.limits.cocone.X
0.000016    17224 category_theory.limits.cocone.ι
0.000016    17225 category_theory.limits.is_colimit
0.000017    17226 category_theory.limits.binary_cofan
0.000017    17227 category_theory.limits.binary_cofan.mk._proof_1
0.000016    17228 category_theory.limits.binary_cofan.mk
0.000017    17229 category_theory.limits.binary_bicone.inl
0.000016    17230 category_theory.limits.binary_bicone.inr
0.000016    17231 category_theory.limits.binary_bicone.to_cocone
0.000017    17232 category_theory.limits.binary_biproduct_data
0.000016    17233 category_theory.limits.has_binary_biproduct
0.000017    17234 category_theory.limits.binary_biproduct_data.bicone
0.000017    17235 category_theory.limits.has_binary_biproduct.exists_binary_biproduct
0.000016    17236 category_theory.limits.get_binary_biproduct_data
0.000017    17237 category_theory.limits.binary_biproduct.bicone
0.000016    17238 category_theory.limits.biprod
0.000017    17239 category_theory.limits.is_limit.lift
0.000017    17240 category_theory.limits.binary_biproduct_data.is_limit
0.000016    17241 category_theory.limits.binary_biproduct.is_limit
0.000017    17242 category_theory.limits.biprod.lift
0.000016    17243 category_theory.limits.biprod.fst
0.000017    17244 category_theory.limits.is_limit.fac
0.000017    17245 category_theory.limits.biprod.lift_fst
0.000016    17246 is_locally_constant
0.000017    17247 locally_constant
0.000016    17248 locally_constant.to_fun
0.000016    17249 locally_constant.has_coe_to_fun
0.000016    17250 is_locally_constant.comp
0.000016    17251 is_locally_constant.tfae
0.000017    17252 is_locally_constant.iff_eventually_eq
0.000016    17253 is_locally_constant.eventually_eq
0.000016    17254 is_locally_constant.prod_mk
0.000017    17255 is_locally_constant.comp₂
0.000016    17256 is_locally_constant.add
0.000016    17257 locally_constant.is_locally_constant
0.000017    17258 locally_constant.has_add._proof_1
0.000017    17259 locally_constant.has_add
0.000016    17260 locally_constant.cases_on
0.000016    17261 locally_constant.coe_injective
0.000016    17262 locally_constant.ext
0.000017    17263 locally_constant.add_apply
0.000016    17264 locally_constant.add_semigroup._proof_1
0.000017    17265 locally_constant.add_semigroup
0.000016    17266 locally_constant.add_monoid._proof_1
0.000017    17267 is_locally_constant.of_constant
0.000016    17268 is_locally_constant.const
0.000017    17269 locally_constant.const
0.000016    17270 locally_constant.has_zero
0.000016    17271 locally_constant.zero_apply
0.000017    17272 locally_constant.add_zero_class._proof_1
0.000016    17273 locally_constant.add_zero_class._proof_2
0.000017    17274 locally_constant.add_zero_class
0.000016    17275 locally_constant.add_monoid._proof_2
0.000016    17276 locally_constant.add_monoid._proof_3
0.000017    17277 locally_constant.add_monoid
0.000016    17278 locally_constant.add_comm_monoid._proof_2
0.000017    17279 is_extensional.cases_on
0.000016    17280 measurable_space.generate_measurable
0.000017    17281 measurable_space.generate_from
0.000016    17282 borel
0.000017    17283 borel_space
0.000017    17284 topological_space.second_countable_topology
0.000016    17285 measurable
0.000016    17286 measure_theory.measure.ae._proof_1
0.000017    17287 measure_theory.measure_mono_null
0.000017    17288 measure_theory.measure.ae._proof_2
0.000016    17289 measure_theory.outer_measure.union_null
0.000017    17290 measure_theory.measure_union_null
0.147541    17291 measure_theory.measure.ae._proof_3
0.000093    17292 measure_theory.measure.ae
0.000024    17293 ae_measurable
0.000015    17294 filter.eventually_eq.refl
0.000014    17295 filter.eventually_eq.rfl
0.000015    17296 measure_theory.ae_eq_refl
0.000014    17297 measure_theory.ae_eq_symm
0.000014    17298 filter.eventually_eq.rw
0.000014    17299 filter.eventually_eq.trans
0.000014    17300 measure_theory.ae_eq_trans
0.000015    17301 measure_theory.measure.ae_eq_setoid._proof_1
0.000014    17302 measure_theory.measure.ae_eq_setoid
0.000014    17303 measure_theory.ae_eq_fun
0.000017    17304 filter.germ_setoid._proof_1
0.000017    17305 filter.germ_setoid
0.000017    17306 filter.germ
0.000015    17307 measurable_space.mk_of_closure._proof_1
0.000014    17308 measurable_space.mk_of_closure._proof_2
0.000015    17309 measurable_space.mk_of_closure._proof_3
0.000015    17310 measurable_space.mk_of_closure
0.000016    17311 measurable_space.measurable_set_generate_from
0.000015    17312 measurable_space.generate_measurable.rec_on
0.000014    17313 measurable_space.generate_from_le
0.000014    17314 measurable_space.generate_from_le_iff
0.000016    17315 measurable_space.gi_generate_from._proof_1
0.000015    17316 measurable_space.gi_generate_from._proof_2
0.000016    17317 measurable_space.gi_generate_from._proof_3
0.000015    17318 measurable_space.mk_of_closure_sets
0.000014    17319 measurable_space.gi_generate_from._proof_4
0.000014    17320 measurable_space.gi_generate_from
0.000017    17321 measurable_space.complete_lattice
0.000015    17322 measurable_space.comap._proof_1
0.000014    17323 measurable_space.comap._match_1
0.000015    17324 measurable_space.comap._proof_2
0.000016    17325 measurable_space.comap._match_2
0.000017    17326 measurable_space.comap._proof_3
0.000017    17327 measurable_space.comap
0.000017    17328 prod.measurable_space
0.000016    17329 function.uncurry
0.000017    17330 measure_theory.ae_eq_fun.mk
0.000016    17331 ae_measurable.mk
0.000017    17332 measurable.comp
0.000017    17333 ae_measurable.measurable_mk
0.000016    17334 filter.eventually_eq.fun_comp
0.000017    17335 ae_measurable.ae_eq_mk
0.000017    17336 measurable.comp_ae_measurable
0.000017    17337 measure_theory.ae_eq_fun.comp._proof_1
0.000016    17338 measure_theory.ae_eq_fun.mk_eq_mk
0.000017    17339 measure_theory.ae_eq_fun.comp._proof_2
0.000017    17340 measure_theory.ae_eq_fun.comp
0.000016    17341 measurable_space.map._proof_1
0.000017    17342 measurable_space.map._proof_2
0.000016    17343 measurable_space.map
0.000017    17344 measurable_iff_le_map
0.000017    17345 measurable.of_le_map
0.000017    17346 measurable_space.comap_le_iff_le_map
0.000016    17347 measurable_space.map_comp
0.000017    17348 measurable.prod
0.000017    17349 measurable.prod_mk
0.000016    17350 filter.eventually_eq.prod_mk
0.000017    17351 ae_measurable.prod_mk
0.000016    17352 measure_theory.ae_eq_fun.pair._proof_1
0.000018    17353 measure_theory.ae_eq_fun.pair._proof_2
0.000016    17354 measure_theory.ae_eq_fun.pair
0.000017    17355 measure_theory.ae_eq_fun.comp₂
0.000016    17356 has_measurable_add₂
0.000017    17357 has_measurable_add₂.measurable_add
0.000017    17358 opens_measurable_space
0.000017    17359 measurable.mono
0.000016    17360 continuous.borel_measurable
0.000017    17361 opens_measurable_space.borel_le
0.000017    17362 borel_space.measurable_eq
0.000016    17363 continuous.measurable
0.000017    17364 topological_space.is_topological_basis
0.000016    17365 set.bUnion_eq_univ_iff
0.000017    17366 Inf_insert
0.000016    17367 set.sInter_insert
0.000017    17368 is_open_sInter
0.000017    17369 topological_space.is_topological_basis_of_subbasis
0.000016    17370 topological_space.second_countable_topology.is_open_generated_countable
0.000015    17371 topological_space.exists_countable_basis
0.000014    17372 topological_space.countable_basis
0.000015    17373 topological_space.countable_countable_basis
0.000017    17374 topological_space.is_topological_basis.eq_generate_from
0.000017    17375 filter.binfi_sets_eq
0.000016    17376 topological_space.is_topological_basis.exists_subset_inter
0.000017    17377 topological_space.is_topological_basis.sUnion_eq
0.000015    17378 set.mem_bUnion_iff
0.000016    17379 topological_space.is_topological_basis.mem_nhds_iff
0.000025    17380 topological_space.is_topological_basis.exists_subset_of_mem_open
0.000016    17381 topological_space.is_basis_countable_basis
0.000015    17382 topological_space.is_open_Union_countable
0.000015    17383 topological_space.is_open_sUnion_countable
0.000017    17384 measurable_set.bUnion
0.000017    17385 measurable_set.sUnion
0.000016    17386 borel_eq_generate_from_of_subbasis
0.000016    17387 topological_space.is_topological_basis.borel_eq_generate_from
0.000017    17388 topological_space.is_topological_basis.second_countable_topology
0.000016    17389 set.mem_sUnion
0.000017    17390 set.sUnion_eq_univ_iff
0.346298    17391 binfi_le_of_le
0.000093    17392 topological_space.is_topological_basis_of_open_of_nhds
0.000024    17393 topological_space.is_topological_basis.is_open
0.000014    17394 topological_space.is_topological_basis.nhds_has_basis
0.000015    17395 set.mem_image2_of_mem
0.000013    17396 topological_space.is_topological_basis.prod
0.000014    17397 set.image_prod
0.000015    17398 set.prod_range_range_eq
0.000014    17399 set.range_prod_map
0.000014    17400 encodable.encode_sigma._main
0.000017    17401 encodable.encode_sigma
0.000017    17402 encodable.decode_sigma._match_1
0.000015    17403 encodable.decode_sigma
0.000014    17404 encodable.encode_sigma._main.equations._eqn_1
0.000017    17405 encodable.encode_sigma.equations._eqn_1
0.000015    17406 encodable.decode_sigma.equations._eqn_1
0.000016    17407 encodable.decode_sigma._match_1.equations._eqn_1
0.000016    17408 encodable.sigma._match_1
0.000016    17409 encodable.sigma._proof_1
0.000015    17410 encodable.sigma
0.000014    17411 encodable.prod
0.000014    17412 set.countable.prod
0.000016    17413 set.countable.image2
0.000015    17414 topological_space.prod.second_countable_topology
0.000014    17415 measurable_iff_comap_le
0.000018    17416 measurable.of_comap_le
0.000017    17417 measurable_fst
0.000016    17418 measurable_snd
0.000017    17419 measurable_set.prod
0.000016    17420 is_open.measurable_set
0.000016    17421 topological_space.is_open_of_mem_countable_basis
0.000016    17422 prod.opens_measurable_space
0.000017    17423 borel_space.opens_measurable
0.000016    17424 has_continuous_add.has_measurable_mul₂
0.000017    17425 measure_theory.ae_eq_fun.has_add._proof_1
0.000016    17426 measure_theory.ae_eq_fun.has_add
0.000016    17427 measurable.ae_measurable
0.000017    17428 measurable_set.const
0.000016    17429 measurable_const
0.000017    17430 ae_measurable_const
0.000016    17431 measure_theory.ae_eq_fun.const
0.000017    17432 measure_theory.ae_eq_fun.has_zero
0.000016    17433 has_measurable_neg
0.000016    17434 has_measurable_neg.measurable_neg
0.000017    17435 topological_add_group.has_measurable_neg
0.000016    17436 measure_theory.ae_eq_fun.has_neg._proof_1
0.000017    17437 measure_theory.ae_eq_fun.has_neg
0.000016    17438 has_measurable_sub₂
0.000016    17439 has_measurable_sub₂.measurable_sub
0.000017    17440 measurable.add
0.000016    17441 measurable.neg
0.000017    17442 has_measurable_div₂_of_add_neg
0.000016    17443 measure_theory.ae_eq_fun.has_sub._proof_1
0.000017    17444 measure_theory.ae_eq_fun.has_sub
0.000016    17445 relator.lift_fun
0.000017    17446 quotient.map₂._proof_1
0.000016    17447 quotient.map₂
0.000017    17448 quotient.map₂'
0.000016    17449 filter.germ.map₂._proof_1
0.000016    17450 filter.germ.map₂
0.000017    17451 filter.germ.has_add
0.000016    17452 filter.germ.has_coe_t
0.000017    17453 filter.germ.quot_mk_eq_coe
0.000016    17454 filter.germ.coe_add
0.000016    17455 pi.add_semigroup._proof_1
0.000016    17456 pi.add_semigroup
0.000017    17457 filter.germ.add_semigroup._proof_1
0.000016    17458 filter.germ.add_semigroup
0.000017    17459 filter.germ.add_monoid._proof_1
0.000016    17460 filter.germ.has_lift_t
0.000016    17461 filter.germ.has_zero
0.000017    17462 filter.germ.induction_on
0.000014    17463 filter.germ.coe_zero
0.000014    17464 filter.germ.coe_eq
0.000016    17465 filter.germ.add_monoid._proof_2
0.000017    17466 filter.germ.add_monoid._proof_3
0.000017    17467 filter.germ.add_monoid
0.000016    17468 filter.germ.sub_neg_add_monoid._proof_1
0.000017    17469 filter.germ.sub_neg_add_monoid._proof_2
0.000017    17470 filter.germ.sub_neg_add_monoid._proof_3
0.000016    17471 quot.map._proof_1
0.000016    17472 quot.map
0.000017    17473 quotient.map'
0.000016    17474 filter.germ.map'
0.000016    17475 filter.germ.map._proof_1
0.000017    17476 filter.germ.map
0.000016    17477 filter.germ.has_neg
0.000017    17478 filter.germ.has_sub
0.000016    17479 pi.sub_neg_add_monoid._proof_1
0.000017    17480 pi.sub_neg_add_monoid._proof_2
0.000023    17481 pi.sub_neg_add_monoid._proof_3
0.000016    17482 pi.sub_neg_add_monoid._proof_4
0.000015    17483 pi.sub_neg_add_monoid
0.000014    17484 filter.germ.sub_neg_add_monoid._proof_4
0.000017    17485 filter.germ.sub_neg_add_monoid
0.000016    17486 filter.germ.add_group._proof_1
0.000016    17487 filter.germ.add_group._proof_2
0.000016    17488 filter.germ.add_group._proof_3
0.000016    17489 filter.germ.add_group._proof_4
0.000017    17490 filter.germ.add_group._proof_5
0.000016    17491 filter.germ.add_group
0.000017    17492 measure_theory.ae_eq_fun.to_germ._proof_1
0.000016    17493 measure_theory.ae_eq_fun.to_germ
0.000016    17494 quotient.out'
0.000016    17495 measure_theory.ae_eq_fun.has_coe_to_fun._proof_1
0.000016    17496 measure_theory.ae_eq_fun.has_coe_to_fun
0.000016    17497 measure_theory.ae_eq_fun.measurable
0.000017    17498 measure_theory.ae_eq_fun.ae_measurable
0.000016    17499 quotient.out_eq'
0.000016    17500 measure_theory.ae_eq_fun.mk.equations._eqn_1
1.233757    17501 measure_theory.ae_eq_fun.mk_coe_fn
0.000093    17502 measure_theory.ae_eq_fun.ext
0.000024    17503 measure_theory.ae_eq_fun.mk_to_germ
0.000014    17504 measure_theory.ae_eq_fun.to_germ_eq
0.000014    17505 measure_theory.ae_eq_fun.to_germ_injective
0.000015    17506 measure_theory.ae_eq_fun.zero_to_germ
0.000014    17507 measure_theory.ae_eq_fun.add_group._proof_1
0.000013    17508 measure_theory.ae_eq_fun.induction_on
0.000015    17509 measure_theory.ae_eq_fun.induction_on₂
0.000014    17510 measure_theory.ae_eq_fun.comp₂_mk_mk
0.000016    17511 filter.germ.map₂_coe
0.000017    17512 measure_theory.ae_eq_fun.comp₂_to_germ
0.000017    17513 measure_theory.ae_eq_fun.add_to_germ
0.000014    17514 measure_theory.ae_eq_fun.add_group._proof_2
0.000014    17515 measure_theory.ae_eq_fun.comp_mk
0.000017    17516 filter.germ.map_coe
0.000015    17517 measure_theory.ae_eq_fun.comp_to_germ
0.000016    17518 measure_theory.ae_eq_fun.neg_to_germ
0.000016    17519 measure_theory.ae_eq_fun.sub_to_germ
0.000015    17520 measure_theory.ae_eq_fun.add_group
0.000014    17521 measure_theory.Lp._proof_1
0.000017    17522 measure_theory.Lp._proof_2
0.000017    17523 filter.Limsup
0.000015    17524 filter.limsup
0.000017    17525 ess_sup
0.000016    17526 measure_theory.snorm_ess_sup
0.000017    17527 real.decidable_lt
0.000016    17528 complex.decidable_eq
0.000017    17529 set.cod_restrict
0.000017    17530 strict_mono.cod_restrict
0.000016    17531 real.exp_order_iso._proof_1
0.000017    17532 real.has_deriv_at_exp
0.000017    17533 real.differentiable_exp
0.000016    17534 real.continuous_exp
0.000016    17535 real.semilattice_sup
0.000017    17536 nontrivial.dcases_on
0.000017    17537 by_contra
0.000017    17538 filter.nontrivial_iff_nonempty
0.000016    17539 filter.map_infi_le
0.000017    17540 filter.map_infi_eq
0.000016    17541 subtype.coe_le_coe
0.000017    17542 filter.map_coe_at_top_of_Ici_subset
0.000016    17543 set.Ici_subset_Ioi
0.000016    17544 filter.le_comap_map
0.000017    17545 filter.comap_map
0.000016    17546 filter.at_top_Ioi_eq
0.000017    17547 filter.tendsto_Ioi_at_top
0.000016    17548 filter.tendsto_at_top_of_add_const_right
0.000017    17549 filter.tendsto_at_top_of_add_bdd_above_right'
0.000016    17550 filter.tendsto_at_top_add_right_of_le'
0.000015    17551 filter.tendsto_at_top_add_const_right
0.000014    17552 real.tendsto_exp_at_top
0.000016    17553 set.dual_Ioo
0.000017    17554 tfae_mem_nhds_within_Iio
0.000017    17555 mem_nhds_within_Iio_iff_exists_mem_Ico_Ioo_subset
0.000017    17556 Ioo_mem_nhds_within_Iio
0.000016    17557 comap_coe_nhds_within_Iio_of_Ioo_subset
0.000017    17558 comap_coe_nhds_within_Ioi_of_Ioo_subset
0.000017    17559 comap_coe_Ioi_nhds_within_Ioi
0.000016    17560 tendsto_Ioi_at_bot
0.000017    17561 real.tendsto_exp_neg_at_top_nhds_0
0.000016    17562 filter.tendsto_at_bot
0.000017    17563 filter.tendsto_neg_at_top_at_bot
0.000016    17564 order_dual.ordered_add_comm_monoid._proof_1
0.000016    17565 order_dual.ordered_add_comm_monoid._proof_2
0.000016    17566 order_dual.ordered_add_comm_monoid._proof_3
0.000017    17567 order_dual.ordered_add_comm_monoid._proof_4
0.000016    17568 order_dual.ordered_add_comm_monoid._proof_5
0.000017    17569 order_dual.ordered_add_comm_monoid._proof_6
0.000016    17570 order_dual.ordered_add_comm_monoid._proof_7
0.000017    17571 order_dual.ordered_add_comm_monoid._proof_8
0.000016    17572 order_dual.ordered_add_comm_monoid._proof_9
0.000016    17573 order_dual.ordered_add_comm_monoid._proof_10
0.000016    17574 order_dual.ordered_add_comm_monoid
0.000017    17575 order_dual.ordered_add_comm_group._proof_1
0.000017    17576 order_dual.ordered_add_comm_group._proof_2
0.000016    17577 order_dual.ordered_add_comm_group._proof_3
0.000017    17578 order_dual.ordered_add_comm_group._proof_4
0.000016    17579 order_dual.ordered_add_comm_group._proof_5
0.000017    17580 order_dual.ordered_add_comm_group._proof_6
0.000017    17581 order_dual.ordered_add_comm_group._proof_7
0.000016    17582 order_dual.ordered_add_comm_group._proof_8
0.000016    17583 order_dual.ordered_add_comm_group._proof_9
0.000017    17584 order_dual.ordered_add_comm_group._proof_10
0.000016    17585 order_dual.ordered_add_comm_group._proof_11
0.000017    17586 order_dual.ordered_add_comm_group
0.000014    17587 filter.tendsto_neg_at_bot_at_top
0.000016    17588 real.tendsto_exp_at_bot
0.000017    17589 real.tendsto_exp_at_bot_nhds_within
0.000016    17590 real.exp_order_iso._proof_2
0.000017    17591 real.exp_order_iso
0.000016    17592 real.log._proof_1
0.000017    17593 real.log
0.000016    17594 set.proj_Icc._proof_1
0.000017    17595 set.proj_Icc
0.000016    17596 set.Icc_extend
0.000017    17597 neg_le_self
0.000016    17598 real.arcsin._proof_1
0.000017    17599 set.surj_on
0.000016    17600 set.bij_on
0.000016    17601 set.bij_on.maps_to
0.000017    17602 subtype.val_prop
0.000017    17603 set.bij_on.equiv._proof_1
0.000016    17604 set.bij_on.inj_on
1.370426    17605 set.bij_on.surj_on
0.000093    17606 set.bij_on.bijective
0.000024    17607 set.bij_on.equiv
0.000014    17608 set.bij_on.mk
0.000015    17609 set.inj_on.bij_on_image
0.000014    17610 strict_mono_incr_on.inj_on
0.000014    17611 strict_mono_incr_on.order_iso._proof_1
0.000015    17612 strict_mono_incr_on.order_iso._proof_2
0.000014    17613 strict_mono_incr_on.order_iso
0.000014    17614 real.pi_div_two_pos
0.000017    17615 real.sin_pi_div_two
0.000017    17616 real.cos_sub_pi_div_two
0.000015    17617 complex.cos_sub
0.000014    17618 complex.cos_sub_cos
0.000017    17619 real.cos_sub_cos
0.000015    17620 real.cos_lt_cos_of_nonneg_of_le_pi_div_two
0.000016    17621 real.cos_sub
0.000017    17622 real.cos_pi_sub
0.000017    17623 real.sin_add_pi_div_two
0.000017    17624 has_strict_fderiv_at.restrict_scalars
0.000014    17625 has_strict_deriv_at_iff_has_strict_fderiv_at
0.000014    17626 has_strict_deriv_at.has_strict_fderiv_at
0.000017    17627 has_strict_deriv_at.real_of_complex
0.000015    17628 has_strict_deriv_at.sub
0.000017    17629 complex.has_strict_deriv_at_sin
0.000016    17630 real.has_strict_deriv_at_sin
0.000015    17631 real.has_deriv_at_sin
0.000014    17632 real.differentiable_sin
0.000016    17633 real.continuous_sin
0.000015    17634 real.sin_pos_of_mem_Ioo
0.000017    17635 set.diff_diff
0.000016    17636 set.mem_Ioo
0.000015    17637 set.Ioc_diff_right
0.000014    17638 set.Icc_diff_both
0.000014    17639 set.Icc_diff_Ioo_same
0.000014    17640 set.nonempty_Ioo
0.000017    17641 is_lub_Ioo
0.000017    17642 closure_Ioo
0.000016    17643 real.sin_nonneg_of_mem_Icc
0.000017    17644 cancel_factors.neg_subst
0.000016    17645 real.cos_nonneg_of_mem_Icc
0.000017    17646 real.cos_nonpos_of_pi_div_two_le_of_le
0.000016    17647 real.cos_pos_of_mem_Ioo
0.000017    17648 real.cos_neg_of_pi_div_two_lt_of_lt
0.000016    17649 linarith.lt_of_lt_of_eq
0.000016    17650 linarith.mul_eq
0.000016    17651 real.cos_lt_cos_of_nonneg_of_le_pi
0.000017    17652 real.sin_lt_sin_of_lt_of_le_pi_div_two
0.000016    17653 real.strict_mono_incr_on_sin
0.000017    17654 set.eq_of_subset_of_subset
0.000016    17655 set.maps_to.image_subset
0.000016    17656 set.surj_on.image_eq_of_maps_to
0.000017    17657 set.bij_on.image_eq
0.000016    17658 abs_le_iff_mul_self_le
0.000016    17659 abs_le_one_iff_mul_self_le_one
0.000016    17660 real.sin_sq_le_one
0.000017    17661 real.abs_sin_le_one
0.000016    17662 real.neg_one_le_sin
0.000017    17663 real.sin_le_one
0.000016    17664 real.sin_mem_Icc
0.000016    17665 real.maps_to_sin
0.000016    17666 real.inj_on_sin
0.000016    17667 intermediate_value_Icc
0.000017    17668 real.surj_on_sin
0.000016    17669 real.bij_on_sin
0.000016    17670 real.sin_order_iso._proof_1
0.000017    17671 real.sin_order_iso
0.000016    17672 real.arcsin
0.000017    17673 complex.arg
0.000016    17674 complex.log
0.000016    17675 complex.cpow
0.000017    17676 complex.has_pow
0.000016    17677 real.rpow
0.000016    17678 real.has_pow
0.000017    17679 real.rpow_def
0.000016    17680 complex.cpow_def
0.000016    17681 complex.log.equations._eqn_1
0.000017    17682 complex.log_re
0.000017    17683 complex.log_im
0.000016    17684 complex.arg.equations._eqn_1
0.000016    17685 real.arcsin_mem_Icc
0.000017    17686 real.arcsin.equations._eqn_1
0.000016    17687 set.proj_Icc.equations._eqn_1
0.000017    17688 set.proj_Icc_of_mem
0.000016    17689 set.Icc_extend_of_mem
0.000016    17690 real.coe_sin_order_iso_apply
0.000017    17691 order_iso.apply_symm_apply
0.000016    17692 real.sin_arcsin'
0.000017    17693 real.arcsin_eq_of_sin_eq
0.000016    17694 real.arcsin_zero
0.000016    17695 complex.arg_of_real_of_nonneg
0.000016    17696 complex.of_real_log
0.000017    17697 real.exp_eq_exp
0.000016    17698 real.rpow_def_of_nonneg
0.000017    17699 real.rpow_nonneg_of_nonneg
0.000016    17700 nnreal.rpow._proof_1
0.000016    17701 nnreal.rpow
0.000016    17702 nnreal.real.has_pow
0.000017    17703 ennreal.rpow._main
0.000016    17704 ennreal.rpow
0.000017    17705 ennreal.real.has_pow
0.000016    17706 measure_theory.simple_func
0.000016    17707 measure_theory.simple_func.to_fun
0.000017    17708 measure_theory.simple_func.has_coe_to_fun
0.000027    17709 measure_theory.simple_func.finite_range'
0.000017    17710 measure_theory.simple_func.finite_range
0.000015    17711 measure_theory.simple_func.range
0.000013    17712 measure_theory.simple_func.lintegral
0.000018    17713 measure_theory.lintegral
0.000016    17714 measure_theory.snorm'
0.000017    17715 measure_theory.snorm
0.000016    17716 measure_theory.snorm.equations._eqn_1
0.000017    17717 filter.is_cobounded
0.000016    17718 filter.is_cobounded_under
0.000017    17719 filter.is_bounded
0.000016    17720 filter.is_bounded_under
0.000016    17721 cInf_le_cInf
0.000017    17722 filter.Limsup_le_Limsup
0.000016    17723 filter.eventually_le.trans
0.000017    17724 filter.limsup_le_limsup
0.000016    17725 filter.is_cobounded_le_of_bot
0.000017    17726 filter.is_bounded_le_of_top
0.000016    17727 ess_sup_mono_ae
0.000017    17728 measure_theory.snorm'.equations._eqn_1
0.000016    17729 nnreal.rpow_eq_pow
0.000016    17730 complex.cpow_zero
0.291288    17731 real.rpow_zero
0.000097    17732 nnreal.rpow_zero
0.000022    17733 ennreal.rpow_zero
0.000014    17734 ennreal.top_rpow_def
0.000014    17735 ennreal.top_rpow_of_pos
0.000014    17736 real.log_zero
0.000015    17737 complex.arg_zero
0.000014    17738 complex.log_zero
0.000015    17739 complex.zero_cpow
0.000014    17740 real.zero_rpow
0.000014    17741 nnreal.zero_rpow
0.000014    17742 ennreal.zero_rpow_of_pos
0.000018    17743 ennreal.coe_rpow_of_ne_zero
0.000015    17744 ennreal.coe_rpow_of_nonneg
0.000014    17745 real.rpow_def_of_pos
0.000014    17746 real.rpow_pos_of_pos
0.000014    17747 real.exp_lt_exp
0.000014    17748 real.log_of_ne_zero
0.000014    17749 real.coe_exp_order_iso_apply
0.000061    17750 real.exp_log_eq_abs
0.000016    17751 real.exp_log
0.000015    17752 real.log_lt_log
0.000014    17753 real.rpow_lt_rpow
0.000014    17754 real.rpow_le_rpow
0.000014    17755 nnreal.rpow_le_rpow
0.000014    17756 ennreal.rpow_le_rpow
0.000015    17757 measure_theory.outer_measure.exists_measurable_superset_of_trim_eq_zero
0.000014    17758 measure_theory.exists_measurable_superset_of_null
0.000017    17759 set.ite
0.000014    17760 set.ite.equations._eqn_1
0.000013    17761 set.piecewise_preimage
0.000013    17762 measurable_set.ite
0.000014    17763 measurable.piecewise
0.000013    17764 measure_theory.simple_func.measurable_set_fiber'
0.000014    17765 measure_theory.simple_func.measurable_set_fiber
0.000013    17766 measure_theory.simple_func.measurable_set_cut
0.000018    17767 measure_theory.simple_func.measurable_set_preimage
0.000014    17768 measure_theory.simple_func.measurable
0.000013    17769 measure_theory.simple_func.piecewise._proof_1
0.000014    17770 set.range_ite_subset
0.000014    17771 measure_theory.simple_func.piecewise._proof_2
0.000014    17772 measure_theory.simple_func.piecewise
0.000014    17773 measure_theory.simple_func.const._proof_1
0.000014    17774 set.finite_range_const
0.000014    17775 measure_theory.simple_func.const
0.000014    17776 measure_theory.simple_func.has_zero
0.000014    17777 measure_theory.simple_func.restrict
0.000017    17778 measure_theory.simple_func.restrict.equations._eqn_1
0.000014    17779 measure_theory.simple_func.coe_restrict
0.000014    17780 measure_theory.simple_func.restrict_apply
0.000013    17781 measure_theory.simple_func.lintegral.equations._eqn_1
0.000014    17782 finset.sum_bij_ne_zero
0.000013    17783 measure_theory.simple_func.mem_range
0.000013    17784 measure_theory.simple_func.forall_range_iff
0.000014    17785 set.preimage_singleton_nonempty
0.000013    17786 measure_theory.nonempty_of_measure_ne_zero
0.000013    17787 measure_theory.simple_func.lintegral_eq_of_subset
0.000014    17788 measure_theory.simple_func.mem_range_of_measure_ne_zero
0.000013    17789 measure_theory.simple_func.lintegral_eq_of_measure_preimage
0.000014    17790 set.union_diff_self
0.000013    17791 measure_theory.measure_union_le
0.000014    17792 measure_theory.ae_iff
0.000017    17793 measure_theory.ae_le_set
0.000014    17794 measure_theory.measure_mono_ae
0.000014    17795 filter.eventually_le.measure_le
0.000014    17796 filter.eventually_eq.le
0.000014    17797 measure_theory.measure_congr
0.000014    17798 filter.eventually_eq_set
0.000015    17799 filter.eventually.set_eq
0.000014    17800 measure_theory.simple_func.lintegral_congr
0.000014    17801 measure_theory.mem_ae_iff
0.000014    17802 measure_theory.compl_mem_ae_iff
0.000014    17803 measure_theory.measure_zero_iff_ae_nmem
0.000017    17804 measure_theory.lintegral_mono_ae
0.000014    17805 measure_theory.snorm'_mono_ae
0.000013    17806 measure_theory.snorm_mono_ae
0.000014    17807 measure_theory.snorm_congr_norm_ae
0.000013    17808 measure_theory.snorm_congr_ae
0.000013    17809 quotient.mk_out'
0.000014    17810 measure_theory.ae_eq_fun.coe_fn_mk
0.000014    17811 measure_theory.ae_eq_fun.coe_fn_const
0.000013    17812 measure_theory.ae_eq_fun.coe_fn_zero
0.000014    17813 measure_theory.snorm'_exponent_zero
0.000013    17814 measure_theory.snorm_exponent_zero
0.000014    17815 ennreal.top_to_real
0.000013    17816 measure_theory.snorm_exponent_top
0.000014    17817 measure_theory.snorm_ess_sup.equations._eqn_1
0.000013    17818 nnnorm_zero
0.000013    17819 filter.limsup_eq
0.000014    17820 filter.limsup_const_bot
0.000013    17821 ess_sup_const_bot
0.000014    17822 measure_theory.snorm_ess_sup_zero
0.000013    17823 measure_theory.snorm_eq_snorm'
0.000014    17824 finset.coe_injective
0.000013    17825 measure_theory.simple_func.coe_range
0.000018    17826 measure_theory.simple_func.coe_const
0.000014    17827 eq_iff_eq_cancel_left
0.000013    17828 set.singleton_eq_singleton_iff
0.000014    17829 measure_theory.simple_func.range_const
0.000013    17830 set.preimage_const_of_mem
0.000017    17831 set.eq_empty_of_not_nonempty
0.000014    17832 measure_theory.measure.eq_zero_of_not_nonempty
0.000014    17833 measure_theory.measure.coe_zero
0.000015    17834 measure_theory.simple_func.const_lintegral
0.298706    17835 bsupr_le
0.000241    17836 measure_theory.simple_func.has_le
0.000025    17837 measure_theory.measure.partial_order._proof_1
0.000024    17838 measure_theory.measure.partial_order._proof_2
0.000020    17839 measure_theory.measure.partial_order._proof_3
0.000022    17840 measure_theory.measure.partial_order._proof_4
0.000025    17841 measure_theory.measure.partial_order
0.000022    17842 measure_theory.simple_func.bind._proof_1
0.000027    17843 measure_theory.simple_func.bind._proof_2
0.000027    17844 measure_theory.simple_func.bind
0.000028    17845 measure_theory.simple_func.map
0.000026    17846 measure_theory.simple_func.seq
0.000026    17847 measure_theory.simple_func.has_sup
0.000030    17848 measure_theory.simple_func.pair
0.000031    17849 measure_theory.simple_func.coe_map
0.000031    17850 measure_theory.simple_func.range_map
0.000030    17851 exists_eq_right_right'
0.000031    17852 finset.bUnion_filter_eq_of_maps_to
0.000031    17853 finset.sum_fiberwise_of_maps_to
0.000030    17854 finset.sum_image'
0.000030    17855 set.preimage_inter_range
0.000031    17856 measure_theory.simple_func.map_preimage
0.000031    17857 measure_theory.simple_func.map_preimage_singleton
0.000030    17858 set.pairwise_on_disjoint_fiber
0.000030    17859 set.preimage_bUnion
0.000031    17860 set.bUnion_preimage_singleton
0.000031    17861 finset.set_bUnion_preimage_singleton
0.000031    17862 measure_theory.sum_measure_preimage_singleton
0.000030    17863 measure_theory.simple_func.sum_measure_preimage_singleton
0.000031    17864 measure_theory.simple_func.map_lintegral
0.000030    17865 measure_theory.simple_func.sup_eq_map₂
0.000031    17866 measure_theory.simple_func.le_sup_lintegral
0.000031    17867 measure_theory.simple_func.preorder._proof_1
0.000030    17868 measure_theory.simple_func.preorder._proof_2
0.000031    17869 measure_theory.simple_func.preorder._proof_3
0.000031    17870 measure_theory.simple_func.preorder
0.000030    17871 measure_theory.simple_func.partial_order._proof_1
0.000031    17872 measure_theory.simple_func.partial_order._proof_2
0.000030    17873 measure_theory.simple_func.partial_order._proof_3
0.000031    17874 measure_theory.simple_func.cases_on
0.000031    17875 measure_theory.simple_func.coe_injective
0.000031    17876 measure_theory.simple_func.ext
0.000030    17877 measure_theory.simple_func.partial_order._proof_4
0.000030    17878 measure_theory.simple_func.partial_order
0.000031    17879 measure_theory.simple_func.semilattice_sup._proof_1
0.000030    17880 measure_theory.simple_func.semilattice_sup._proof_2
0.000031    17881 measure_theory.simple_func.semilattice_sup._proof_3
0.000031    17882 measure_theory.simple_func.semilattice_sup._proof_4
0.000030    17883 measure_theory.simple_func.semilattice_sup._proof_5
0.000030    17884 measure_theory.simple_func.semilattice_sup._proof_6
0.000031    17885 measure_theory.simple_func.semilattice_sup._proof_7
0.000030    17886 measure_theory.simple_func.semilattice_sup
0.000031    17887 measure_theory.simple_func.lintegral_mono
0.000031    17888 measure_theory.simple_func.lintegral_eq_lintegral
0.000030    17889 measure_theory.lintegral_const
0.000031    17890 measure_theory.snorm'_zero
0.000031    17891 nnreal.coe_pos
0.000030    17892 not_lt_zero'
0.000029    17893 with_top.zero_lt_top
0.000030    17894 ennreal.to_nnreal_pos_iff
0.000031    17895 ennreal.to_real_pos_iff
0.000026    17896 measure_theory.snorm_zero
0.000030    17897 measure_theory.Lp._proof_3
0.000031    17898 measure_theory.ae_eq_fun.comp₂_eq_pair
0.000031    17899 measure_theory.ae_eq_fun.pair_mk_mk
0.000031    17900 measure_theory.ae_eq_fun.pair_eq_mk
0.000030    17901 measure_theory.ae_eq_fun.comp₂_eq_mk
0.000029    17902 measure_theory.ae_eq_fun.coe_fn_comp₂
0.000031    17903 measure_theory.ae_eq_fun.coe_fn_add
0.000030    17904 measure_theory.mem_ℒp
0.000030    17905 nnnorm_add_le
0.000031    17906 countable_Inter_filter
0.000031    17907 set.set_of_forall
0.000029    17908 set.sInter_range
0.000031    17909 countable_Inter_filter.countable_sInter_mem_sets'
0.000031    17910 countable_sInter_mem_sets
0.000030    17911 countable_Inter_mem_sets
0.000030    17912 eventually_countable_forall
0.000030    17913 filter.Liminf
0.000031    17914 filter.liminf
0.000029    17915 filter.eventually_lt_of_lt_liminf
0.000031    17916 order_dual.conditionally_complete_lattice._proof_1
0.000030    17917 order_dual.conditionally_complete_lattice._proof_2
0.000031    17918 order_dual.conditionally_complete_lattice._proof_3
0.000030    17919 order_dual.conditionally_complete_lattice._proof_4
0.000031    17920 order_dual.conditionally_complete_lattice._proof_5
0.000030    17921 order_dual.conditionally_complete_lattice._proof_6
0.000032    17922 order_dual.conditionally_complete_lattice._proof_7
0.796348    17923 order_dual.conditionally_complete_lattice._proof_8
0.000091    17924 order_dual.conditionally_complete_lattice._proof_9
0.000023    17925 order_dual.conditionally_complete_lattice._proof_10
0.000015    17926 order_dual.conditionally_complete_lattice
0.000014    17927 order_dual.conditionally_complete_linear_order._proof_1
0.000015    17928 order_dual.conditionally_complete_linear_order._proof_2
0.000015    17929 order_dual.conditionally_complete_linear_order._proof_3
0.000015    17930 order_dual.conditionally_complete_linear_order._proof_4
0.000014    17931 order_dual.conditionally_complete_linear_order._proof_5
0.000014    17932 order_dual.conditionally_complete_linear_order._proof_6
0.000017    17933 order_dual.conditionally_complete_linear_order._proof_7
0.000017    17934 order_dual.conditionally_complete_linear_order._proof_8
0.000017    17935 order_dual.conditionally_complete_linear_order._proof_9
0.000016    17936 order_dual.conditionally_complete_linear_order._proof_10
0.000015    17937 order_dual.conditionally_complete_linear_order._proof_11
0.000014    17938 order_dual.conditionally_complete_linear_order._proof_12
0.000017    17939 order_dual.conditionally_complete_linear_order._proof_13
0.000015    17940 order_dual.conditionally_complete_linear_order._proof_14
0.000018    17941 order_dual.conditionally_complete_linear_order._proof_15
0.000016    17942 order_dual.conditionally_complete_linear_order
0.000015    17943 filter.eventually_lt_of_limsup_lt
0.000014    17944 ennreal.eventually_le_limsup
0.000017    17945 ennreal.limsup_add_le
0.000015    17946 measure_theory.outer_measure.Union_null
0.000017    17947 measure_theory.measure_Union_null
0.000016    17948 measure_theory.measure.ae.countable_Inter_filter
0.000015    17949 ennreal.ess_sup_add_le
0.000014    17950 measure_theory.snorm_ess_sup_add_le
0.000017    17951 measure_theory.lintegral_mono'
0.000015    17952 measure_theory.lintegral_mono
0.000017    17953 ennreal.measurable_space
0.000017    17954 one_div_one
0.000014    17955 real.sin_arcsin
0.000014    17956 abs_div
0.000017    17957 complex.abs_pos
0.000015    17958 complex.abs_im_div_abs_le_one
0.000016    17959 set.proj_Icc_coe
0.000015    17960 set.Icc_extend_coe
0.000016    17961 set.Icc_extend.equations._eqn_1
0.000016    17962 real.arcsin_proj_Icc
0.000017    17963 set.proj_Icc_of_le_left
0.000016    17964 real.arcsin_neg_one
0.000017    17965 real.arcsin_of_le_neg_one
0.000017    17966 set.proj_Icc_of_right_le
0.000016    17967 real.arcsin_one
0.000016    17968 real.arcsin_of_one_le
0.000016    17969 real.arcsin_le_pi_div_two
0.000016    17970 real.neg_pi_div_two_le_arcsin
0.000015    17971 real.arcsin_neg
0.000014    17972 complex.sin_arg
0.000017    17973 real.cos_arcsin_nonneg
0.000016    17974 eq_sub_iff_add_eq'
0.000017    17975 real.cos_arcsin
0.000027    17976 div_pow
0.000018    17977 _private.469455825.cos_arg_of_re_nonneg
0.000014    17978 complex.arg_eq_arg_neg_add_pi_of_im_nonneg_of_re_neg
0.000014    17979 real.cos_add_pi
0.000014    17980 neg_ne_zero
0.000017    17981 complex.arg_eq_arg_neg_sub_pi_of_im_neg_of_re_neg
0.000017    17982 complex.cos_arg
0.000016    17983 complex.of_real_ne_zero
0.000016    17984 complex.exp_log
0.000017    17985 complex.cpow_one
0.000016    17986 real.rpow_one
0.000016    17987 nnreal.rpow_one
0.000017    17988 ennreal.rpow_one
0.000016    17989 measure_theory.lintegral_congr_ae
0.000016    17990 filter.eventually_eq.comp₂
0.000017    17991 filter.eventually_eq.add
0.000016    17992 measure_theory.simple_func.order_bot._proof_1
0.000016    17993 measure_theory.simple_func.order_bot._proof_2
0.000016    17994 measure_theory.simple_func.order_bot._proof_3
0.000017    17995 measure_theory.simple_func.order_bot._proof_4
0.000016    17996 measure_theory.simple_func.order_bot._proof_5
0.000016    17997 measure_theory.simple_func.order_bot
0.000017    17998 measure_theory.simple_func.semilattice_sup_bot._proof_1
0.000016    17999 measure_theory.simple_func.semilattice_sup_bot._proof_2
0.000017    18000 measure_theory.simple_func.semilattice_sup_bot._proof_3
0.000016    18001 measure_theory.simple_func.semilattice_sup_bot._proof_4
0.000016    18002 measure_theory.simple_func.semilattice_sup_bot._proof_5
0.000017    18003 measure_theory.simple_func.semilattice_sup_bot._proof_6
0.000016    18004 measure_theory.simple_func.semilattice_sup_bot._proof_7
0.000014    18005 measure_theory.simple_func.semilattice_sup_bot._proof_8
0.000015    18006 measure_theory.simple_func.semilattice_sup_bot
0.000016    18007 measure_theory.simple_func.approx
0.000017    18008 equiv.int_equiv_nat_sum_nat._proof_1
0.000016    18009 equiv.int_equiv_nat_sum_nat._proof_2
0.000016    18010 equiv.int_equiv_nat_sum_nat
0.000016    18011 equiv.bool_prod_equiv_sum
0.000017    18012 equiv.bool_prod_nat_equiv_nat._match_1
0.000016    18013 equiv.bool_prod_nat_equiv_nat._match_1.equations._eqn_1
0.511699    18014 equiv.bool_prod_nat_equiv_nat._match_2
0.000093    18015 equiv.bool_prod_nat_equiv_nat._proof_1
0.000023    18016 equiv.bool_prod_nat_equiv_nat._proof_2
0.000014    18017 equiv.bool_prod_nat_equiv_nat
0.000014    18018 equiv.nat_sum_nat_equiv_nat
0.000014    18019 equiv.int_equiv_nat
0.000015    18020 encodable.int
0.000014    18021 rat.encodable._match_1
0.000014    18022 rat.encodable._match_2
0.000014    18023 rat.encodable._match_3
0.000016    18024 rat.encodable._proof_1
0.000017    18025 rat.encodable._match_4
0.000015    18026 rat.encodable._proof_2
0.000016    18027 rat.encodable
0.000016    18028 measure_theory.simple_func.ennreal_rat_embed
0.000015    18029 measure_theory.simple_func.eapprox
0.000014    18030 measure_theory.simple_func.eapprox.equations._eqn_1
0.000018    18031 measure_theory.simple_func.sup_apply
0.000014    18032 measure_theory.simple_func.finset_sup_apply
0.000014    18033 is_closed.measurable_set
0.000017    18034 measurable_set_Ici
0.000017    18035 measure_theory.simple_func.approx_apply
0.000017    18036 measure_theory.simple_func.supr_approx_apply
0.000014    18037 ennreal.borel_space
0.000015    18038 measure_theory.simple_func.ennreal_rat_embed.equations._eqn_1
0.000016    18039 measure_theory.simple_func.ennreal_rat_embed_encode
0.000015    18040 measure_theory.simple_func.supr_eapprox_apply
0.000016    18041 ennreal.add_supr
0.000017    18042 supr_eq_bot
0.000017    18043 ennreal.supr_eq_zero
0.000016    18044 ennreal.supr_add_supr
0.000017    18045 ennreal.supr_add_supr_of_monotone
0.000017    18046 measure_theory.simple_func.monotone_approx
0.000016    18047 measure_theory.simple_func.monotone_eapprox
0.000017    18048 ennreal.coe_to_nnreal_le_self
0.000016    18049 lt_Sup_iff
0.000016    18050 Sup_eq_top
0.000015    18051 supr_eq_top
0.000014    18052 ennreal.div_lt_iff
0.000014    18053 with_top.can_lift._proof_1
0.000017    18054 with_top.can_lift
0.000017    18055 with_top.mul_lt_top
0.000017    18056 ennreal.mul_lt_top
0.000016    18057 ennreal.mul_ne_top
0.000017    18058 ennreal.exists_nat_pos_mul_gt
0.000016    18059 ennreal.exists_nat_mul_gt
0.000016    18060 set.indicator_comp_of_zero
0.000017    18061 measure_theory.simple_func.restrict_of_not_measurable
0.000016    18062 measure_theory.simple_func.coe_zero
0.000017    18063 pi.comp_zero
0.000016    18064 pi.const_zero
0.000016    18065 measure_theory.simple_func.map_restrict_of_zero
0.000016    18066 measure_theory.simple_func.map_coe_ennreal_restrict
0.000017    18067 measure_theory.simple_func.map_const
0.000016    18068 measure_theory.simple_func.mem_range_self
0.000017    18069 set.indicator_preimage
0.000016    18070 pi.zero_def
0.000016    18071 set.preimage_const_of_not_mem
0.000016    18072 bot_sdiff
0.000016    18073 set.empty_diff
0.000017    18074 set.ite_empty_right
0.000016    18075 set.indicator_preimage_of_not_mem
0.000016    18076 measure_theory.simple_func.restrict_preimage
0.000016    18077 measure_theory.simple_func.restrict_preimage_singleton
0.000017    18078 measure_theory.simple_func.restrict_lintegral
0.000016    18079 measure_theory.simple_func.lintegral_restrict
0.000017    18080 measure_theory.simple_func.restrict_lintegral_eq_lintegral_restrict
0.000016    18081 measure_theory.simple_func.const_lintegral_restrict
0.000017    18082 measure_theory.simple_func.restrict_const_lintegral
0.000016    18083 lt_supr_iff
0.000016    18084 add_monoid_hom.map_indicator
0.000016    18085 ennreal.coe_indicator
0.000017    18086 set.indicator_apply_le'
0.000016    18087 set.indicator_le'
0.000016    18088 set.indicator_le
0.000016    18089 measure_theory.lintegral_eq_nnreal
0.000017    18090 closure_Iio'
0.000016    18091 nhds_within_Iio_ne_bot'
0.000016    18092 nhds_within_Iio_self_ne_bot'
0.000017    18093 ennreal.tendsto.mul_const
0.000016    18094 ennreal.continuous_at_mul_const
0.000017    18095 filter.eventually_inf_principal
0.000016    18096 eventually_nhds_within_iff
0.000016    18097 ennreal.le_of_forall_lt_one_mul_le
0.000017    18098 measure_theory.simple_func.has_mul
0.000016    18099 measure_theory.simple_func.const_mul_lintegral
0.000016    18100 ennreal.mul_Sup
0.000017    18101 ennreal.mul_supr
0.000016    18102 ennreal.supr_zero_eq_zero
0.000016    18103 ennreal.finset_sum_supr_nat
0.000017    18104 measurable_set_le'
0.000017    18105 measurable_set_le
0.000016    18106 set.Union_eq_range_sigma
0.000016    18107 set.countable_Union
0.000017    18108 set.countable.bUnion
0.000017    18109 set.countable.union
0.000016    18110 set.countable_singleton
0.000016    18111 set.countable.insert
0.000016    18112 ennreal.topological_space.second_countable_topology
0.000016    18113 measure_theory.simple_func.map_apply
0.000017    18114 set.indicator_apply_le
0.000016    18115 pi.has_Sup
0.000017    18116 pi.has_Inf
0.000016    18117 Inf_apply
0.000017    18118 set.image_eq_range
0.000016    18119 infi_apply
0.000016    18120 supr_apply
0.000017    18121 monotone.le_map_supr
0.000016    18122 pi.has_top
0.000016    18123 pi.semilattice_sup_top._proof_1
0.593290    18124 pi.semilattice_sup_top._proof_2
0.000093    18125 pi.semilattice_sup_top._proof_3
0.000024    18126 pi.semilattice_sup_top._proof_4
0.000015    18127 pi.semilattice_sup_top._proof_5
0.000014    18128 pi.semilattice_sup_top._proof_6
0.000014    18129 pi.semilattice_sup_top._proof_7
0.000014    18130 pi.semilattice_sup_top._proof_8
0.000014    18131 pi.semilattice_sup_top._proof_9
0.000014    18132 pi.has_sup
0.000015    18133 pi.semilattice_sup_top._proof_10
0.000016    18134 pi.semilattice_sup_top._proof_11
0.000017    18135 pi.semilattice_sup_top._proof_12
0.000017    18136 pi.semilattice_sup_top
0.000017    18137 pi.bounded_lattice._proof_1
0.000014    18138 pi.bounded_lattice._proof_2
0.000015    18139 pi.bounded_lattice._proof_3
0.000016    18140 pi.bounded_lattice._proof_4
0.000015    18141 pi.bounded_lattice._proof_5
0.000013    18142 pi.bounded_lattice._proof_6
0.000015    18143 pi.bounded_lattice._proof_7
0.000016    18144 pi.bounded_lattice._proof_8
0.000016    18145 pi.bounded_lattice._proof_9
0.000015    18146 pi.bounded_lattice._proof_10
0.000014    18147 pi.bounded_lattice._proof_11
0.000018    18148 pi.bounded_lattice._proof_12
0.000014    18149 pi.bounded_lattice
0.000014    18150 pi.complete_lattice._proof_1
0.000018    18151 pi.complete_lattice._proof_2
0.000017    18152 pi.complete_lattice._proof_3
0.000014    18153 pi.complete_lattice._proof_4
0.000014    18154 pi.complete_lattice._proof_5
0.000018    18155 pi.complete_lattice._proof_6
0.000028    18156 pi.complete_lattice._proof_7
0.000018    18157 pi.complete_lattice._proof_8
0.000017    18158 pi.complete_lattice._proof_9
0.000015    18159 pi.complete_lattice._proof_10
0.000016    18160 pi.complete_lattice._proof_11
0.000019    18161 pi.complete_lattice._proof_12
0.000017    18162 pi.complete_lattice._proof_13
0.000016    18163 pi.complete_lattice._proof_14
0.000016    18164 pi.complete_lattice._proof_15
0.000017    18165 pi.complete_lattice._proof_16
0.000016    18166 pi.complete_lattice
0.000017    18167 measure_theory.monotone_lintegral
0.000016    18168 measure_theory.supr_lintegral_le
0.000016    18169 measure_theory.lintegral_supr
0.000016    18170 measure_theory.simple_func.has_add
0.000016    18171 measure_theory.simple_func.add_eq_map₂
0.000016    18172 measure_theory.simple_func.add_lintegral
0.000017    18173 measure_theory.lintegral_eq_supr_eapprox_lintegral
0.000016    18174 measure_theory.lintegral_add
0.000016    18175 measure_theory.lintegral_add'
0.000016    18176 real.is_conjugate_exponent
0.000016    18177 real.rpow_add
0.000016    18178 nnreal.rpow_add
0.000016    18179 ennreal.rpow_add
0.000016    18180 ennreal.top_rpow_of_neg
0.000017    18181 ennreal.zero_rpow_of_neg
0.000016    18182 nnreal.coe_rpow
0.000016    18183 real.rpow_eq_zero_iff_of_nonneg
0.000016    18184 nnreal.rpow_eq_zero_iff
0.000016    18185 ennreal.rpow_eq_zero_iff
0.000016    18186 ennreal.rpow_eq_top_iff
0.000016    18187 ennreal.rpow_eq_top_of_nonneg
0.000016    18188 real.is_conjugate_exponent.one_lt
0.000016    18189 real.is_conjugate_exponent.pos
0.000016    18190 real.is_conjugate_exponent.nonneg
0.000016    18191 ennreal.mul_le_mul_right
0.000017    18192 real.is_conjugate_exponent.inv_add_inv_conj
0.000016    18193 tactic.ring.unfold_div
0.000016    18194 real.is_conjugate_exponent.sub_one_pos
0.000016    18195 has_measurable_mul₂
0.000016    18196 has_measurable_mul₂.measurable_mul
0.000017    18197 ae_measurable.mul
0.000016    18198 subtype.measurable_space
0.000016    18199 real.measurable_space
0.000017    18200 nnreal.measurable_space
0.000016    18201 measurable_equiv
0.000016    18202 sum.measurable_space
0.000017    18203 punit.measurable_space
0.000016    18204 measurable_equiv.to_equiv
0.000016    18205 measurable_equiv.measurable_to_fun
0.000016    18206 measurable_equiv.trans._proof_1
0.000016    18207 measurable_equiv.measurable_inv_fun
0.000016    18208 measurable_equiv.trans._proof_2
0.000017    18209 measurable_equiv.trans
0.000016    18210 measurable.fst
0.000016    18211 measurable_id
0.000016    18212 measurable.snd
0.000016    18213 measurable_equiv.prod_congr._proof_1
0.000016    18214 measurable_equiv.prod_congr._proof_2
0.000016    18215 measurable_equiv.prod_congr
0.000016    18216 ennreal.ennreal_equiv_sum._proof_1
0.000016    18217 ennreal.ennreal_equiv_sum._proof_2
0.000016    18218 measurable_singleton_class
0.000017    18219 set.inter_distrib_left
0.000016    18220 measurable_set.subtype_image
0.000016    18221 measurable_of_measurable_union_cover
0.000016    18222 measurable_singleton_class.measurable_set_singleton
0.000016    18223 measurable_set_eq
0.000016    18224 subsingleton.eq_univ_of_nonempty
0.000016    18225 subsingleton.set_cases
0.000016    18226 subsingleton.measurable_set
0.000016    18227 subsingleton.measurable
0.000017    18228 measurable_of_measurable_on_compl_singleton
0.000016    18229 opens_measurable_space.to_measurable_singleton_class
0.000014    18230 measurable_equiv.has_coe_to_fun
0.000016    18231 measurable_equiv.symm
1.054249    18232 homeomorph.to_measurable_equiv._proof_1
0.000093    18233 homeomorph.to_measurable_equiv._proof_2
0.000023    18234 homeomorph.to_measurable_equiv
0.000015    18235 subtype.measurable_space.equations._eqn_1
0.000014    18236 measurable_space.comap_generate_from
0.000015    18237 borel_comap
0.000014    18238 subtype.borel_space
0.000014    18239 measurable_equiv.ennreal_equiv_nnreal._proof_1
0.000015    18240 real.borel_space
0.000014    18241 nnreal.borel_space
0.000019    18242 ennreal.ne_top_homeomorph_nnreal._proof_1
0.000017    18243 ennreal.ne_top_homeomorph_nnreal._proof_2
0.000017    18244 ennreal.nhds_coe
0.000016    18245 ennreal.tendsto_to_nnreal
0.000018    18246 ennreal.continuous_on_to_nnreal
0.000016    18247 ennreal.ne_top_homeomorph_nnreal._proof_3
0.000015    18248 inducing.continuous
0.000014    18249 embedding.continuous
0.000014    18250 ennreal.continuous_coe
0.000014    18251 ennreal.ne_top_homeomorph_nnreal._proof_4
0.000016    18252 ennreal.ne_top_homeomorph_nnreal
0.000017    18253 measurable_equiv.ennreal_equiv_nnreal
0.000016    18254 measurable_equiv.symm_to_equiv
0.000015    18255 measurable_equiv.trans_to_equiv
0.000014    18256 measurable_equiv.measurable
0.000014    18257 measurable_equiv.measurable_coe_iff
0.000014    18258 ennreal.measurable_of_measurable_nnreal
0.000017    18259 measurable_inl
0.000015    18260 ennreal.ennreal_equiv_sum._proof_3
0.000029    18261 measurable_sum
0.000015    18262 measurable.ennreal_coe
0.000019    18263 ennreal.measurable_coe
0.000017    18264 ennreal.ennreal_equiv_sum._proof_4
0.000017    18265 ennreal.ennreal_equiv_sum
0.000014    18266 measurable_equiv.refl
0.000014    18267 measurable_set.inl_image
0.000016    18268 measurable_set_range_inl
0.000016    18269 measurable_set_inr_image
0.000017    18270 measurable_set_range_inr
0.000017    18271 set.prod_eq
0.000016    18272 measurable.subtype_mk
0.000017    18273 measurable_space.gc_comap_map
0.000017    18274 measurable_space.le_map_comap
0.000016    18275 measurable_subtype_coe
0.000017    18276 measurable.subtype_coe
0.000016    18277 measurable_equiv.set.prod._proof_1
0.000017    18278 measurable_equiv.set.prod._proof_2
0.000017    18279 measurable_equiv.set.prod
0.000016    18280 measurable_equiv.set.range_inl._match_1
0.000017    18281 measurable_equiv.set.range_inl._proof_1
0.000017    18282 measurable_equiv.set.range_inl._proof_2
0.000016    18283 measurable_equiv.set.range_inl._proof_3
0.000017    18284 measurable_equiv.set.range_inl._match_1.equations._eqn_1
0.000017    18285 measurable_equiv.set.range_inl._proof_4
0.000016    18286 measurable_equiv.set.range_inl._proof_5
0.000017    18287 measurable_equiv.set.range_inl
0.000016    18288 measurable_equiv.set.univ._proof_1
0.000017    18289 measurable_equiv.set.univ._proof_2
0.000016    18290 measurable_equiv.set.univ
0.000017    18291 measurable_equiv.set.range_inr._match_1
0.000017    18292 measurable_equiv.set.range_inr._proof_1
0.000014    18293 measurable_equiv.set.range_inr._proof_2
0.000016    18294 measurable_equiv.set.range_inr._proof_3
0.000017    18295 measurable_equiv.set.range_inr._match_1.equations._eqn_2
0.000017    18296 measurable_equiv.set.range_inr._proof_4
0.000016    18297 measurable_inr
0.000017    18298 measurable_equiv.set.range_inr._proof_5
0.000017    18299 measurable_equiv.set.range_inr
0.000016    18300 measurable_equiv.sum_prod_distrib._proof_1
0.000017    18301 measurable_equiv.sum_prod_distrib._proof_2
0.000017    18302 measurable_equiv.sum_prod_distrib
0.000017    18303 ennreal.measurable_of_measurable_nnreal_prod
0.000016    18304 measurable_swap
0.000017    18305 measurable_swap_iff
0.000017    18306 ennreal.measurable_of_measurable_nnreal_nnreal
0.000016    18307 has_continuous_mul.has_measurable_mul₂
0.000017    18308 induced_generate_from_eq
0.000017    18309 topological_space.second_countable_topology_induced
0.000016    18310 topological_space.subtype.second_countable_topology
0.000015    18311 sigma_compact_space
0.000014    18312 topological_space.separable_space
0.000016    18313 topological_space.separable_space.exists_countable_dense
0.000017    18314 topological_space.exists_countable_dense
0.000016    18315 filter.has_basis.restrict
0.000016    18316 nhdset_of_mem_uniformity
0.000016    18317 subset_interior_iff_subset_of_open
0.000016    18318 filter.lift_mono'
0.000017    18319 filter.lift_lift'_assoc
0.000016    18320 uniformity_lift_le_comp
0.000016    18321 comp_le_uniformity3
0.000016    18322 filter.mem_lift'
0.000016    18323 uniformity_eq_uniformity_interior
0.000017    18324 interior_mem_uniformity
0.000016    18325 uniformity_has_basis_open
0.000016    18326 uniformity_has_basis_open_symmetric
0.000016    18327 uniform_space.is_open_ball
0.000016    18328 mem_closure_iff
0.000017    18329 dense_iff_closure_eq
0.000016    18330 dense.closure_eq
0.000016    18331 dense_iff_inter_open
0.000017    18332 dense.inter_open_nonempty
0.000016    18333 uniform_space.mem_ball_self
0.000016    18334 mem_ball_comp
0.894080    18335 ball_subset_of_comp_subset
0.000097    18336 uniform_space.second_countable_of_separable
0.000021    18337 emetric.second_countable_of_separable
0.000015    18338 set.accumulate
0.000014    18339 sigma_compact_space.exists_compact_covering
0.000014    18340 compact_covering
0.000014    18341 emetric.closed_ball
0.000014    18342 set.countable_empty
0.000014    18343 edist_triangle_right
0.000014    18344 emetric.subset_countable_closure_of_almost_dense_set
0.000015    18345 totally_bounded_iff_subset
0.000016    18346 emetric.totally_bounded_iff'
0.000017    18347 is_compact.totally_bounded
0.000017    18348 emetric.mem_closed_ball
0.000015    18349 emetric.ball_subset_closed_ball
0.000014    18350 emetric.subset_countable_closure_of_compact
0.000017    18351 filter.bInter_finset_mem_sets
0.000020    18352 finset.Inter_mem_sets
0.000014    18353 compact_of_finite_subfamily_closed
0.000017    18354 compact_of_finite_subcover
0.000014    18355 set.finite.compact_bUnion
0.000014    18356 compact_accumulate
0.000017    18357 is_compact_compact_covering
0.000019    18358 compact_covering.equations._eqn_1
0.000014    18359 set.mem_accumulate
0.000014    18360 set.subset_accumulate
0.000016    18361 set.Union_accumulate
0.000017    18362 Union_compact_covering
0.000014    18363 emetric.second_countable_of_sigma_compact
0.000014    18364 subsingleton.le
0.000018    18365 exists_nat_ge
0.000014    18366 second_countable_of_proper
0.000016    18367 real.topological_space.second_countable_topology
0.000017    18368 nnreal.topological_space.second_countable_topology
0.000016    18369 nnreal.metric_space
0.000016    18370 ennreal.has_measurable_mul₂
0.000017    18371 has_measurable_pow
0.000016    18372 has_measurable_pow.measurable_pow
0.000016    18373 ae_measurable.pow
0.000017    18374 ae_measurable.pow_const
0.000027    18375 ennreal.coe_rpow_def
0.000015    18376 measurable.ite
0.000014    18377 measurable_set_Iio
0.000018    18378 measurable.pow
0.000016    18379 complex.measurable_space
0.000017    18380 complex.borel_space
0.000017    18381 complex.continuous_re
0.000016    18382 complex.measurable_re
0.000016    18383 measurable_one
0.000016    18384 measurable_zero
0.000017    18385 complex.measurable_exp
0.000016    18386 measurable.cexp
0.000016    18387 measurable.mul
0.000016    18388 complex.isometry_of_real
0.000017    18389 complex.continuous_of_real
0.000016    18390 complex.measurable_of_real
0.000016    18391 measurable_space.comap_mono
0.000017    18392 subtype.opens_measurable_space
0.000016    18393 continuous_generated_from
0.000016    18394 order_iso.to_order_embedding
0.000016    18395 order_iso.lt_iff_lt
0.000017    18396 order_iso.preimage_Ioi
0.000016    18397 order_iso.preimage_Iio
0.000016    18398 order_iso.continuous
0.000016    18399 continuous.norm
0.000017    18400 continuous_subtype_coe
0.000016    18401 real.continuous_on_log
0.000016    18402 real.measurable_log
0.000016    18403 measurable_norm
0.000014    18404 has_measurable_mul
0.000014    18405 has_measurable_mul.measurable_mul_const
0.000017    18406 measurable.mul_const
0.000017    18407 has_continuous_mul.has_measurable_mul
0.000016    18408 complex.im_lm._proof_1
0.000017    18409 complex.im_lm
0.000016    18410 complex.im_lm_coe
0.000016    18411 complex.im_clm._proof_1
0.000016    18412 complex.im_clm
0.000016    18413 complex.continuous_im
0.000017    18414 has_measurable_add
0.000016    18415 has_measurable_add.measurable_add_const
0.000017    18416 measurable.add_const
0.000016    18417 has_continuous_add.has_measurable_add
0.000016    18418 has_measurable_sub
0.000017    18419 has_measurable_sub.measurable_sub_const
0.000016    18420 measurable.sub_const
0.000016    18421 has_continuous_sub.has_measurable_sub
0.000016    18422 continuous_proj_Icc
0.000016    18423 continuous.Icc_extend
0.000017    18424 set.ord_connected_Icc
0.000016    18425 real.continuous_arcsin
0.000016    18426 real.measurable_arcsin
0.000017    18427 has_measurable_div₂
0.000016    18428 has_measurable_div₂.measurable_div
0.000016    18429 measurable.div
0.000016    18430 has_measurable_inv
0.000017    18431 has_measurable_inv.measurable_inv
0.000016    18432 measurable.inv
0.000016    18433 has_measurable_div₂_of_mul_inv
0.000017    18434 has_continuous_inv'
0.000016    18435 measurable_of_continuous_on_compl_singleton
0.000016    18436 has_continuous_inv'.continuous_at_inv'
0.000017    18437 continuous_on_inv'
0.000016    18438 has_continuous_inv'.has_measurable_inv
0.000016    18439 is_open.eventually_mem
0.000016    18440 continuous.tendsto'
0.000017    18441 continuous.div_const
0.000017    18442 normed_field.has_continuous_inv'._proof_1
0.000016    18443 normed_field.has_continuous_inv'
0.000017    18444 complex.measurable_im
0.000016    18445 complex.measurable_arg
0.000016    18446 complex.measurable_log
0.000016    18447 measurable.clog
0.000016    18448 complex.has_measurable_pow._proof_1
0.000016    18449 complex.has_measurable_pow
0.000017    18450 real.has_measurable_pow._proof_1
0.000016    18451 real.has_measurable_pow
0.000016    18452 nnreal.continuous_coe
1.930224    18453 nnreal.measurable_coe
0.000096    18454 measurable.nnreal_coe
0.000022    18455 nnreal.real.has_measurable_pow._proof_1
0.000014    18456 nnreal.real.has_measurable_pow
0.000014    18457 measurable_set_Ioi
0.000014    18458 ennreal.real.has_measurable_pow._proof_1
0.000015    18459 ennreal.real.has_measurable_pow
0.000014    18460 ae_measurable.add
0.000014    18461 measure_theory.lintegral_zero_fun
0.000015    18462 pi.mul_zero_class._proof_1
0.000014    18463 pi.mul_zero_class._proof_2
0.000017    18464 pi.mul_zero_class
0.000017    18465 filter.eventually_eq.mul
0.000014    18466 measure_theory.ae_all_iff
0.000015    18467 ennreal.coe_nat_ne_top
0.000018    18468 measure_theory.mul_meas_ge_le_lintegral
0.000020    18469 measure_theory.lintegral_zero
0.000015    18470 measure_theory.lintegral_eq_zero_iff
0.000017    18471 measure_theory.lintegral_eq_zero_iff'
0.000017    18472 ennreal.ae_eq_zero_of_lintegral_rpow_eq_zero
0.000015    18473 ennreal.lintegral_mul_eq_zero_of_lintegral_rpow_eq_zero
0.000017    18474 pi.comm_semigroup._proof_1
0.000016    18475 pi.comm_semigroup._proof_2
0.000017    18476 pi.comm_semigroup
0.000018    18477 sub_div'
0.000017    18478 real.is_conjugate_exponent.ne_zero
0.000017    18479 div_div_eq_mul_div
0.000027    18480 real.is_conjugate_exponent.conj_eq
0.000016    18481 one_lt_div
0.000014    18482 sub_one_lt
0.000015    18483 real.is_conjugate_exponent.symm
0.000014    18484 ennreal.lintegral_mul_le_Lp_mul_Lq_of_ne_zero_of_eq_top
0.000014    18485 ennreal.fun_mul_inv_snorm
0.000019    18486 measure_theory.lintegral_congr
0.000017    18487 pi.mul_apply
0.000017    18488 ennreal.fun_mul_inv_snorm.equations._eqn_1
0.000016    18489 ennreal.inv_mul_cancel
0.000017    18490 ennreal.fun_eq_fun_mul_inv_snorm_mul_snorm
0.000017    18491 measure_theory.lintegral.equations._eqn_1
0.000016    18492 measure_theory.lintegral_const_mul_le
0.000017    18493 measure_theory.lintegral_const_mul'
0.000014    18494 measure_theory.lintegral_mul_const'
0.000014    18495 ennreal.coe_div
0.000017    18496 complex.of_real_cpow
0.000016    18497 complex.norm_sq_one
0.000017    18498 complex.abs_one
0.000016    18499 real.log_one
0.000016    18500 complex.arg_one
0.000017    18501 complex.log_one
0.000016    18502 complex.abs_exp_of_real
0.000016    18503 complex.abs_cos_add_sin_mul_I
0.000017    18504 div_eq_div_iff
0.000016    18505 complex.arg_eq_arg_iff
0.000016    18506 complex.arg_real_mul
0.000017    18507 real.arcsin_sin'
0.000016    18508 real.arcsin_sin
0.000016    18509 real.sin_add_pi
0.000016    18510 real.sin_neg_of_neg_of_neg_pi_lt
0.000016    18511 real.sin_nonneg_of_nonneg_of_le_pi
0.000017    18512 complex.arg_cos_add_sin_mul_I
0.000016    18513 complex.exp_inj_of_neg_pi_lt_of_le_pi
0.000016    18514 strict_mono.comp_strict_mono_incr_on
0.000017    18515 subtype.strict_mono_coe
0.000016    18516 set.strict_mono_incr_on_proj_Icc
0.000016    18517 strict_mono.strict_mono_incr_on_Icc_extend
0.000016    18518 order_iso.strict_mono
0.000017    18519 real.strict_mono_incr_on_arcsin
0.000016    18520 real.arcsin_le_iff_le_sin
0.000016    18521 set.mem_Icc_of_Ico
0.000017    18522 real.arcsin_le_iff_le_sin'
0.000016    18523 real.le_arcsin_iff_sin_le'
0.000016    18524 neg_lt_zero
0.000016    18525 real.arcsin_nonneg
0.000016    18526 real.arcsin_nonpos
0.000017    18527 real.arcsin_pos
0.000016    18528 complex.neg_pi_lt_arg
0.000016    18529 complex.arg_le_pi
0.000016    18530 complex.log_exp
0.000016    18531 complex.cpow_mul
0.000016    18532 real.rpow_mul
0.000016    18533 fin.sum_univ_succ_above
0.000017    18534 fin.sum_univ_succ
0.000016    18535 fin.sum_univ_zero
0.000016    18536 ring_hom.map_prod
0.000016    18537 nnreal.coe_prod
0.000016    18538 multiset.decidable_dexists_multiset._proof_1
0.000016    18539 multiset.decidable_exists_multiset._proof_1
0.000016    18540 multiset.decidable_exists_multiset
0.000017    18541 multiset.decidable_dexists_multiset._proof_2
0.000016    18542 multiset.decidable_dexists_multiset._match_1
0.000016    18543 multiset.decidable_dexists_multiset._match_2
0.000016    18544 multiset.decidable_dexists_multiset._proof_3
0.000016    18545 multiset.decidable_dexists_multiset
0.000016    18546 finset.decidable_dexists_finset
0.000017    18547 real.exp_sum
0.000016    18548 finset.center_mass
0.000016    18549 finset.center_mass.equations._eqn_1
0.000016    18550 add_monoid_hom.fst._proof_1
0.000016    18551 add_monoid_hom.fst._proof_2
0.000017    18552 add_monoid_hom.fst
0.000016    18553 prod.fst_sum
0.000016    18554 add_monoid_hom.snd._proof_1
0.000016    18555 add_monoid_hom.snd._proof_2
0.000017    18556 add_monoid_hom.snd
0.000016    18557 prod.snd_sum
0.000016    18558 finset.sum_eq_zero_iff_of_nonneg
0.000016    18559 finset.center_mass_insert
0.000016    18560 convex_iff_div
0.000016    18561 convex.center_mass_mem
0.000016    18562 convex_on.convex_epigraph
0.000016    18563 convex_on.map_center_mass_le
0.000017    18564 convex_on.map_sum_le
0.000016    18565 linear_order.convex_on_of_lt
0.000016    18566 div_le_div_iff
1.700659    18567 convex_on_real_of_slope_mono_adjacent
0.000094    18568 is_min_filter
0.000024    18569 is_max_filter
0.000015    18570 is_extr_filter
0.000014    18571 is_local_extr
0.000014    18572 is_local_min
0.000014    18573 is_local_max
0.000015    18574 is_local_extr.elim
0.000014    18575 continuous_linear_map.ext_iff
0.000014    18576 is_local_min_on
0.000017    18577 pos_tangent_cone_at
0.000017    18578 is_local_max_on
0.000017    18579 filter.tendsto_at_top_mono
0.000014    18580 is_local_max_on.has_fderiv_within_at_nonpos
0.000015    18581 linear_map.map_neg
0.000017    18582 continuous_linear_map.map_neg
0.000015    18583 is_local_max_on.has_fderiv_within_at_eq_zero
0.000014    18584 is_max_filter.comp_mono
0.000016    18585 is_max_filter_dual_iff
0.000017    18586 is_min_filter.dual
0.000017    18587 is_min_filter.comp_antimono
0.000017    18588 is_min_filter.neg
0.000015    18589 is_local_min_on.neg
0.000014    18590 has_fderiv_within_at.neg
0.000014    18591 is_local_min_on.has_fderiv_within_at_eq_zero
0.000014    18592 is_min_filter.filter_mono
0.000017    18593 is_min_filter.filter_inf
0.000017    18594 is_local_min.on
0.000017    18595 one_le_two
0.000015    18596 mem_pos_tangent_cone_at_of_segment_subset
0.000014    18597 mem_pos_tangent_cone_at_of_segment_subset'
0.000017    18598 pos_tangent_cone_at_univ
0.000015    18599 is_local_min.has_fderiv_at_eq_zero
0.000016    18600 is_local_min.has_deriv_at_eq_zero
0.000017    18601 is_min_filter.comp_mono
0.000016    18602 is_min_filter_dual_iff
0.000017    18603 is_max_filter.dual
0.000016    18604 is_max_filter.comp_antimono
0.000017    18605 is_max_filter.neg
0.000016    18606 is_local_max.neg
0.000016    18607 has_deriv_at.neg
0.000017    18608 is_local_max.has_deriv_at_eq_zero
0.000016    18609 is_local_extr.has_deriv_at_eq_zero
0.000017    18610 is_extr_on
0.000016    18611 is_local_extr_on
0.000016    18612 is_local_extr_on.elim
0.000017    18613 is_min_filter.is_extr
0.000016    18614 is_local_min_on.is_local_min
0.000016    18615 is_max_filter.is_extr
0.000016    18616 is_max_filter.filter_mono
0.000017    18617 is_local_max_on.is_local_max
0.000016    18618 is_local_extr_on.is_local_extr
0.000016    18619 is_extr_filter.filter_mono
0.000017    18620 is_extr_on.localize
0.000016    18621 is_extr_on.is_local_extr
0.000016    18622 is_open_Ioo
0.000017    18623 Ioo_mem_nhds
0.000016    18624 Icc_mem_nhds
0.000017    18625 is_glb.mem_of_is_closed
0.000016    18626 is_closed.cInf_mem
0.000017    18627 not.imp
0.000016    18628 set.univ_nonempty
0.000016    18629 bdd_above_empty
0.000016    18630 bdd_above.mono
0.000016    18631 bdd_above.union
0.000016    18632 bdd_above_union
0.000016    18633 is_lub.bdd_above
0.000016    18634 bdd_above_singleton
0.000017    18635 bdd_above_insert
0.000016    18636 bdd_above.insert
0.000016    18637 set.finite.bdd_above
0.000017    18638 set.finite.bdd_below
0.000016    18639 is_compact.bdd_below
0.000016    18640 is_compact.Inf_mem
0.000017    18641 is_compact.exists_Inf_image_eq
0.000016    18642 is_compact.is_glb_Inf
0.000016    18643 is_compact.exists_forall_le
0.000017    18644 set.nonempty_Icc
0.000016    18645 is_compact.exists_forall_ge
0.000016    18646 exists_Ioo_extr_on_Icc
0.000017    18647 exists_local_extr_Ioo
0.000015    18648 exists_has_deriv_at_eq_zero
0.000017    18649 has_deriv_at.const_mul
0.000016    18650 exists_ratio_has_deriv_at_eq_ratio_slope
0.000017    18651 pi.one_apply
0.000016    18652 exists_has_deriv_at_eq_slope
0.000017    18653 differentiable_within_at.differentiable_at
0.000016    18654 exists_deriv_eq_slope
0.000016    18655 set.nonempty.image_const
0.000017    18656 units.mul_right._proof_1
0.000016    18657 units.inv_mul_cancel_right
0.000017    18658 units.mul_right._proof_2
0.000016    18659 units.mul_right
0.000017    18660 set.mem_image_iff_of_inverse
0.000016    18661 equiv.image_eq_preimage
0.000016    18662 units.mul_right_symm
0.000017    18663 units.coe_mul_right
0.000016    18664 set.Ici_inter_Iic
0.000016    18665 set.preimage_mul_const_Ici
0.000017    18666 set.preimage_mul_const_Iic
0.000016    18667 set.preimage_mul_const_Icc
0.000017    18668 set.image_mul_right_Icc'
0.000016    18669 set.image_mul_right_Icc
0.000016    18670 set.image_add_left
0.000016    18671 set.preimage_add_const_Ici
0.000016    18672 set.preimage_add_const_Iic
0.000017    18673 set.preimage_add_const_Icc
0.000016    18674 set.image_const_add_Icc
0.000017    18675 segment_eq_Icc
0.000016    18676 segment_symm
0.000016    18677 segment_eq_Icc'
0.000017    18678 segment_eq_interval
0.000016    18679 set.ord_connected_def
0.000017    18680 set.ord_connected_iff
0.000016    18681 set.ord_connected_iff_interval_subset
0.000026    18682 real.convex_iff_ord_connected
0.000020    18683 convex.ord_connected
0.000017    18684 differentiable_on.mono
0.000017    18685 set.Icc_subset_Icc_left
0.000018    18686 convex_on_of_deriv_mono
0.000017    18687 convex.mul_sub_le_image_sub_of_le_deriv
0.000016    18688 convex.mono_of_deriv_nonneg
0.000015    18689 set.has_add
0.000016    18690 set.has_scalar_set
0.000017    18691 set.add_mem_add
0.000016    18692 convex_iff_pointwise_add_subset
0.000017    18693 set.image_smul
0.000017    18694 set.image2_subset
1.618386    18695 set.add_subset_add
0.000094    18696 set.Union_image_left
0.000021    18697 set.Union_add_left_image
0.000015    18698 homeomorph.preimage_symm
0.000014    18699 quotient_map
0.000014    18700 topological_space_eq_iff
0.000014    18701 quotient_map_iff
0.000015    18702 quotient_map.is_open_preimage
0.000014    18703 continuous_coinduced_rng
0.000014    18704 quotient_map.of_quotient_map_compose
0.000016    18705 homeomorph.self_comp_symm
0.000017    18706 coinduced_id
0.000015    18707 quotient_map.id
0.000017    18708 homeomorph.quotient_map
0.000017    18709 homeomorph.is_open_preimage
0.000015    18710 homeomorph.is_open_image
0.000015    18711 homeomorph.is_open_map
0.000017    18712 is_open_map_add_left
0.000016    18713 is_open.add_left
0.000014    18714 units.smul_inv_smul
0.000015    18715 units.smul_perm
0.000014    18716 units.smul_perm_hom._proof_1
0.000014    18717 units.smul_perm_hom._proof_2
0.000017    18718 units.smul_perm_hom
0.000017    18719 continuous.const_smul
0.000016    18720 homeomorph.smul_of_unit._proof_1
0.000016    18721 homeomorph.smul_of_unit._proof_2
0.000017    18722 homeomorph.smul_of_unit
0.000016    18723 is_unit.is_open_map_smul
0.000016    18724 is_open_map_smul'
0.000017    18725 set.Union_image_right
0.000016    18726 set.Union_add_right_image
0.000016    18727 is_open_map_add_right
0.000016    18728 is_open.add_right
0.000017    18729 convex.interior
0.000016    18730 interior_interior
0.000016    18731 convex_on_of_deriv2_nonneg
0.000016    18732 function.iterate_one
0.000016    18733 convex_on_open_of_deriv2_nonneg
0.000016    18734 differentiable.differentiable_on
0.000016    18735 convex_on_univ_of_deriv2_nonneg
0.000017    18736 real.deriv_exp
0.000016    18737 has_deriv_at_filter.comp_has_fderiv_at_filter
0.000016    18738 has_deriv_at_filter.mono
0.000016    18739 has_deriv_at.comp_has_fderiv_at
0.000016    18740 has_fderiv_at.exp
0.000016    18741 differentiable_at.exp
0.000016    18742 differentiable.exp
0.000016    18743 has_fderiv_at_id
0.000016    18744 differentiable_at_id
0.000016    18745 differentiable_id'
0.000016    18746 function.iterate_succ_apply
0.000017    18747 real.iter_deriv_exp
0.000015    18748 convex_on_exp
0.000017    18749 real.geom_mean_le_arith_mean_weighted
0.000016    18750 nnreal.geom_mean_le_arith_mean_weighted
0.000016    18751 nnreal.geom_mean_le_arith_mean2_weighted
0.000016    18752 real.geom_mean_le_arith_mean2_weighted
0.000016    18753 real.is_conjugate_exponent.one_div_pos
0.000017    18754 real.is_conjugate_exponent.one_div_nonneg
0.000016    18755 real.young_inequality_of_nonneg
0.000016    18756 nnreal.young_inequality
0.000016    18757 real.is_conjugate_exponent.one_lt_nnreal
0.000016    18758 nnreal.coe_inv
0.000016    18759 nnreal.of_real_inv
0.000016    18760 nnreal.of_real_div'
0.000016    18761 real.is_conjugate_exponent.inv_add_inv_conj_nnreal
0.000016    18762 nnreal.young_inequality_real
0.000016    18763 ennreal.young_inequality
0.000017    18764 ae_measurable.mul_const
0.000016    18765 has_measurable_mul₂.to_has_measurable_mul
0.000016    18766 measure_theory.lintegral_const_mul
0.000016    18767 measure_theory.lintegral_const_mul''
0.000017    18768 measure_theory.lintegral_mul_const''
0.000016    18769 ennreal.of_real_one
0.000016    18770 ennreal.of_real_mul
0.000016    18771 ennreal.of_real_inv_of_pos
0.000016    18772 ennreal.of_real_div_of_pos
0.000016    18773 real.is_conjugate_exponent.inv_add_inv_conj_ennreal
0.000017    18774 ennreal.lintegral_mul_le_one_of_lintegral_rpow_eq_one
0.000016    18775 real.log_mul
0.000016    18776 real.mul_rpow
0.000016    18777 nnreal.mul_rpow
0.000029    18778 ennreal.mul_rpow_of_ne_zero
0.000023    18779 ennreal.mul_rpow_of_nonneg
0.000017    18780 abs_inv
0.000017    18781 real.log_inv
0.000017    18782 real.inv_rpow
0.000015    18783 nnreal.inv_rpow
0.000014    18784 ennreal.inv_rpow_of_pos
0.000016    18785 complex.one_cpow
0.000016    18786 real.one_rpow
0.000017    18787 nnreal.one_rpow
0.000017    18788 ennreal.one_rpow
0.000016    18789 zero_lt_mul_right
0.000017    18790 nnreal.rpow_mul
0.000016    18791 ennreal.rpow_mul
0.000017    18792 ennreal.fun_mul_inv_snorm_rpow
0.000017    18793 ennreal.lintegral_rpow_fun_mul_inv_snorm_eq_one
0.000016    18794 ennreal.lintegral_mul_le_Lp_mul_Lq_of_ne_zero_of_ne_top
0.000017    18795 ennreal.lintegral_mul_le_Lp_mul_Lq
0.000016    18796 eq_div_iff
0.000017    18797 real.is_conjugate_exponent.sub_one_ne_zero
0.000017    18798 real.is_conjugate_exponent.sub_one_mul_conj
0.000016    18799 ennreal.lintegral_mul_rpow_le_lintegral_rpow_mul_lintegral_rpow
0.000016    18800 ennreal.lintegral_rpow_add_le_add_snorm_mul_lintegral_rpow_add
0.000017    18801 _private.3746782911.lintegral_Lp_add_le_aux
0.000016    18802 real.conjugate_exponent
0.000016    18803 real.is_conjugate_exponent_iff
0.000017    18804 real.is_conjugate_exponent_conjugate_exponent
0.000016    18805 nnreal.rpow_lt_rpow
0.000017    18806 ennreal.rpow_lt_rpow
0.000016    18807 ennreal.rpow_ne_top_of_nonneg
0.000017    18808 ennreal.rpow_lt_top_of_nonneg
1.724538    18809 real.rpow_neg
0.000092    18810 nnreal.rpow_neg
0.000024    18811 ennreal.rpow_neg
0.000014    18812 ennreal.rpow_neg_one
0.000015    18813 univ_unique
0.000013    18814 fin.default_eq_zero
0.000015    18815 ennreal.le_of_top_imp_top_of_to_nnreal_le
0.000014    18816 multiset.sum_eq_foldr
0.000014    18817 multiset.sum_induction
0.000015    18818 finset.sum_induction
0.000016    18819 with_top.sum_lt_top
0.000017    18820 with_top.sum_lt_top_iff
0.000015    18821 with_top.sum_eq_top_iff
0.000014    18822 ennreal.sum_eq_top_iff
0.000017    18823 ennreal.sum_lt_top
0.000017    18824 ennreal.to_nnreal_sum
0.000016    18825 ennreal.sum_lt_top_iff
0.000016    18826 ennreal.one_to_nnreal
0.000017    18827 ennreal.to_nnreal_rpow
0.000016    18828 ennreal.to_nnreal_hom._proof_1
0.000017    18829 ennreal.to_nnreal_mul_top
0.000016    18830 ennreal.to_nnreal_top_mul
0.000016    18831 ennreal.to_nnreal_hom._proof_2
0.000015    18832 ennreal.to_nnreal_hom
0.000016    18833 ennreal.to_nnreal_mul
0.000016    18834 set.ord_connected.convex
0.000016    18835 convex_Ici
0.000017    18836 real.continuous_log'
0.000016    18837 real.continuous_rpow_aux1
0.000017    18838 complex.arg_neg_one
0.000016    18839 complex.of_real_def
0.000016    18840 max_eq_right_iff
0.000017    18841 le_neg_self_iff
0.000016    18842 abs_eq_neg_self
0.000017    18843 complex.arg_eq_pi_iff
0.000016    18844 complex.arg_of_real_of_neg
0.000016    18845 abs_abs
0.000017    18846 real.log_abs
0.000016    18847 real.log_neg_eq_log
0.000017    18848 real.rpow_def_of_neg
0.000016    18849 real.continuous_rpow_aux2
0.000016    18850 real.continuous_at_rpow_of_ne_zero
0.000017    18851 rat.cast_pos
0.000016    18852 exists_pos_rat_lt
0.000017    18853 subtype.dist_eq
0.000016    18854 mul_le_of_le_one_right
0.000016    18855 real.cos_sq_le_one
0.000016    18856 real.abs_cos_le_one
0.000017    18857 real.abs_rpow_le_abs_rpow
0.000016    18858 mul_lt_mul_of_neg_left
0.000017    18859 real.log_lt_log_iff
0.000016    18860 real.log_neg_iff
0.000017    18861 real.log_neg
0.000016    18862 real.rpow_lt_rpow_of_exponent_gt
0.000016    18863 sub_half
0.000016    18864 sub_lt_of_abs_sub_lt_left
0.000017    18865 real.continuous_rpow_aux3
0.000016    18866 real.continuous_at_rpow_of_pos
0.000016    18867 real.continuous_rpow
0.000017    18868 real.continuous_rpow_of_pos
0.000016    18869 has_deriv_at_filter.scomp
0.000017    18870 has_deriv_within_at.scomp
0.000016    18871 has_deriv_within_at.comp
0.000016    18872 has_deriv_at.comp_has_deriv_within_at
0.000016    18873 set.Iic_union_Ici
0.000016    18874 asymptotics.is_O_with.join
0.000017    18875 asymptotics.is_o.join
0.000016    18876 has_deriv_within_at.union
0.000017    18877 filter.eventually_bot
0.000016    18878 has_fderiv_within_at_of_not_mem_closure
0.000016    18879 closure_closure
0.000014    18880 metric.nhds_within_basis_ball
0.000015    18881 metric.tendsto_nhds_within_nhds_within
0.000016    18882 metric.tendsto_nhds_within_nhds
0.000016    18883 metric.mem_nhds_within_iff
0.000017    18884 nhds_within_prod_eq
0.000016    18885 pi.sub_apply
0.000017    18886 tendsto_nhds_within_of_tendsto_nhds
0.000014    18887 convex.norm_image_sub_le_of_norm_fderiv_within_le'
0.000016    18888 differentiable_at.fderiv_within
0.000017    18889 convex.inter
0.000016    18890 has_fderiv_at_boundary_of_tendsto_fderiv
0.000016    18891 set.ord_connected_Iio
0.000017    18892 set.ord_connected_Ioo
0.000016    18893 convex_Ioo
0.000017    18894 deriv_fderiv
0.000016    18895 is_bounded_bilinear_map.continuous
0.000017    18896 is_bounded_bilinear_map.continuous_right
0.000016    18897 set.Ioo_subset_Iio_self
0.000016    18898 no_bot_order
0.000016    18899 no_bot_order.no_bot
0.000017    18900 no_bot
0.000016    18901 mem_nhds_within_Iic_iff_exists_Ioc_subset
0.000016    18902 mem_nhds_within_Iic_iff_exists_Icc_subset
0.000017    18903 exists_zero_lt
0.000016    18904 linear_ordered_add_comm_group.to_no_bot_order
0.000017    18905 order_dual.no_top_order
0.000016    18906 mem_nhds_within_Iio_iff_exists_Ico_subset
0.000017    18907 has_deriv_at_interval_right_endpoint_of_tendsto_deriv
0.000016    18908 differentiable_at.differentiable_within_at
0.000017    18909 mem_nhds_within_Ici_iff_exists_Ico_subset'
0.000016    18910 mem_nhds_within_Ici_iff_exists_Ico_subset
0.000017    18911 mem_nhds_within_Ici_iff_exists_Icc_subset
0.000016    18912 has_deriv_at_interval_left_endpoint_of_tendsto_deriv
0.000017    18913 has_deriv_at_of_has_deriv_at_of_ne
0.000016    18914 filter.eventually_eq.has_deriv_at_filter_iff
0.000016    18915 has_deriv_at_filter.congr_of_eventually_eq
0.000017    18916 has_deriv_at.congr_of_eventually_eq
0.000016    18917 real.exp_sub
0.000017    18918 real.exp_log_of_neg
0.000016    18919 mul_eq_mul_right_iff
0.000017    18920 has_deriv_within_at.mul_const
0.000016    18921 has_deriv_at.mul_const
0.000016    18922 has_deriv_at_filter.comp
0.000017    18923 has_deriv_at.comp
0.000016    18924 continuous_linear_equiv.map_sub
0.000017    18925 continuous_linear_equiv.coe_coe
0.000017    18926 filter.eventually.prod_inl_nhds
1.700030    18927 filter.eventually.prod_inr_nhds
0.000097    18928 filter.eventually.prod_mk_nhds
0.000022    18929 asymptotics.is_o.symm
0.000015    18930 continuous_linear_equiv.is_O_comp
0.000014    18931 continuous_linear_equiv.is_O_comp_rev
0.000014    18932 asymptotics.is_O_with.of_neg_left
0.000014    18933 asymptotics.is_O_with_neg_right
0.000015    18934 asymptotics.is_O_with.neg_right
0.000014    18935 asymptotics.is_O_with.right_le_sub_of_lt_1
0.000015    18936 asymptotics.is_O_with.right_le_add_of_lt_1
0.000016    18937 asymptotics.is_o.right_is_O_add
0.000018    18938 has_strict_fderiv_at.is_O_sub_rev
0.000016    18939 has_strict_fderiv_at.of_local_left_inverse
0.000017    18940 continuous_linear_equiv.equiv_of_inverse._proof_1
0.000017    18941 continuous_linear_equiv.equiv_of_inverse._proof_2
0.000014    18942 continuous_linear_equiv.equiv_of_inverse
0.000014    18943 continuous_linear_equiv.units_equiv_aut._proof_1
0.000014    18944 continuous_linear_equiv.units_equiv_aut._proof_2
0.000014    18945 continuous_linear_equiv.units_equiv_aut._proof_3
0.000017    18946 continuous_linear_equiv.units_equiv_aut._proof_4
0.000014    18947 continuous_linear_equiv.units_equiv_aut._proof_5
0.000014    18948 continuous_linear_equiv.units_equiv_aut._proof_6
0.000017    18949 continuous_linear_equiv.map_smul
0.000017    18950 continuous_linear_equiv.units_equiv_aut._proof_7
0.000017    18951 continuous_linear_equiv.units_equiv_aut._proof_8
0.000017    18952 continuous_linear_equiv.symm_equiv_of_inverse
0.000017    18953 continuous_linear_equiv.equiv_of_inverse_apply
0.000016    18954 units.mk_coe
0.000017    18955 continuous_linear_equiv.units_equiv_aut._proof_9
0.000018    18956 continuous_linear_equiv.cases_on
0.000016    18957 continuous_linear_equiv.to_linear_equiv_injective
0.000014    18958 linear_equiv.cases_on
0.000014    18959 linear_equiv.no_confusion_type
0.000018    18960 linear_equiv.no_confusion
0.000017    18961 linear_equiv.mk.inj
0.000016    18962 linear_equiv.mk.inj_eq
0.000018    18963 linear_equiv.to_equiv_injective
0.000016    18964 linear_equiv.ext
0.000016    18965 continuous_linear_equiv.ext
0.000017    18966 continuous_linear_equiv.ext₁
0.000016    18967 units.inv_mk
0.000016    18968 continuous_linear_equiv.units_equiv_aut._proof_10
0.000017    18969 continuous_linear_equiv.units_equiv_aut
0.000016    18970 has_strict_deriv_at.has_strict_fderiv_at_equiv
0.000016    18971 has_strict_deriv_at.of_local_left_inverse
0.000017    18972 real.continuous_at_log
0.000016    18973 real.has_strict_deriv_at_exp
0.000017    18974 real.has_strict_deriv_at_log_of_pos
0.000016    18975 has_strict_deriv_at_neg
0.000016    18976 real.has_strict_deriv_at_log
0.000017    18977 real.has_deriv_at_log
0.000016    18978 real.has_deriv_at_rpow_of_neg
0.000017    18979 real.has_deriv_at_rpow_of_pos
0.000016    18980 real.has_deriv_at_rpow
0.000027    18981 real.has_deriv_at_rpow_zero_of_one_le
0.000016    18982 real.has_deriv_at_rpow_of_one_le
0.000014    18983 has_deriv_within_at.rpow_of_one_le
0.000017    18984 has_deriv_at.rpow_of_one_le
0.000018    18985 differentiable_at.rpow_of_one_le
0.000016    18986 differentiable.rpow_of_one_le
0.000017    18987 deriv_rpow_of_one_le
0.000016    18988 differentiable_at_id'
0.000017    18989 deriv_id
0.000016    18990 deriv_id''
0.000017    18991 set.compl_Iio
0.000016    18992 interior_compl
0.000016    18993 closure_Iio
0.000016    18994 set.compl_Iic
0.000017    18995 interior_Ici
0.000016    18996 algebra.smul_mul_assoc
0.000017    18997 is_scalar_tower.right
0.000016    18998 has_fderiv_at.prod
0.000016    18999 has_fderiv_at.smul
0.000016    19000 has_fderiv_at.mul
0.000017    19001 differentiable_at.mul
0.000016    19002 has_deriv_within_at.rpow
0.000016    19003 has_deriv_at.rpow
0.000016    19004 differentiable_at.rpow
0.000017    19005 deriv_mul
0.000016    19006 deriv_const
0.000016    19007 deriv_const'
0.000017    19008 deriv_rpow
0.000020    19009 convex_on_rpow
0.000015    19010 real.rpow_arith_mean_le_arith_mean_rpow
0.000014    19011 nnreal.rpow_arith_mean_le_arith_mean_rpow
0.000025    19012 ennreal.one_lt_top
0.000015    19013 ennreal.rpow_arith_mean_le_arith_mean_rpow
0.000016    19014 ennreal.rpow_arith_mean_le_arith_mean2_rpow
0.000017    19015 ennreal.div_add_div_same
0.000014    19016 has_measurable_mul.measurable_const_mul
0.000014    19017 ae_measurable.const_mul
0.000018    19018 ennreal.ne_top_of_mul_ne_top_left
0.000014    19019 ennreal.lt_top_of_mul_lt_top_left
0.000015    19020 ennreal.lt_top_of_mul_lt_top_right
0.000014    19021 ennreal.mul_lt_top_iff
0.000014    19022 ennreal.lintegral_rpow_add_lt_top_of_lintegral_rpow_lt_top
0.000014    19023 ennreal.lintegral_Lp_add_le
0.000018    19024 continuous_nnnorm
0.000017    19025 measurable_nnnorm
0.000018    19026 measurable_ennnorm
0.000017    19027 ae_measurable.ennnorm
0.000016    19028 measure_theory.snorm'_add_le
0.000016    19029 ennreal.one_to_real
0.000017    19030 measure_theory.snorm_add_le
0.000016    19031 measure_theory.snorm_add_lt_top_of_one_le
0.568865    19032 ennreal.rpow_le_rpow_iff
0.000093    19033 ennreal.le_rpow_one_div_iff
0.000024    19034 one_div_one_div
0.000014    19035 ennreal.rpow_eq_top_iff_of_pos
0.000014    19036 ennreal.add_ne_top
0.000014    19037 ennreal.div_one
0.000015    19038 ennreal.div_rpow_of_nonneg
0.000014    19039 linarith.le_of_le_of_eq
0.000014    19040 real.exp_le_exp
0.000014    19041 mul_le_mul_of_nonpos_left
0.000019    19042 real.log_pos_iff
0.000019    19043 real.log_nonpos_iff
0.000017    19044 real.log_nonpos_iff'
0.000014    19045 real.log_nonpos
0.000014    19046 real.rpow_le_rpow_of_exponent_ge
0.000014    19047 nnreal.rpow_le_rpow_of_exponent_ge
0.000015    19048 ennreal.coe_le_one_iff
0.000014    19049 ennreal.rpow_le_rpow_of_exponent_ge
0.000017    19050 ennreal.rpow_le_self_of_le_one
0.000015    19051 _private.3882665655.add_rpow_le_one_of_add_le_one
0.000014    19052 ennreal.add_rpow_le_rpow_add
0.000014    19053 ennreal.rpow_add_rpow_le_add
0.000016    19054 one_le_div
0.000015    19055 ennreal.rpow_add_rpow_le
0.000014    19056 ennreal.rpow_add_le_add_rpow
0.000016    19057 measure_theory.lintegral_rpow_nnnorm_eq_rpow_snorm'
0.000019    19058 measure_theory.lintegral_rpow_nnnorm_lt_top_of_snorm'_lt_top
0.000015    19059 measure_theory.snorm'_add_lt_top_of_le_one
0.000017    19060 measure_theory.mem_ℒp.equations._eqn_1
0.000014    19061 measure_theory.snorm_add_lt_top
0.000015    19062 measure_theory.Lp._proof_4
0.000014    19063 measure_theory.ae_eq_fun.comp_eq_mk
0.000015    19064 measure_theory.ae_eq_fun.coe_fn_comp
0.000014    19065 measure_theory.ae_eq_fun.coe_fn_neg
0.000014    19066 pi.neg_apply
0.000014    19067 nnnorm_neg
0.000014    19068 measure_theory.snorm'_neg
0.000016    19069 measure_theory.snorm_neg
0.000017    19070 measure_theory.Lp._proof_5
0.000016    19071 measure_theory.Lp
0.000017    19072 measure_theory.Lp.mem_Lp_iff_snorm_lt_top
0.000017    19073 measure_theory.Lp.mem_Lp_iff_mem_ℒp
0.000016    19074 nsmul_def
0.000017    19075 nsmul_eq_smul_cast
0.000016    19076 nsmul_eq_smul
0.000016    19077 nat.smul_one_eq_coe
0.000016    19078 units.is_unit_mul_units
0.000016    19079 opposite
0.000017    19080 opposite.unop
0.000016    19081 category_theory.has_hom.opposite
0.000016    19082 category_theory.large_category
0.000016    19083 category_theory.bundled_hom
0.000017    19084 category_theory.bundled_hom.id
0.000016    19085 category_theory.bundled_hom.comp
0.000014    19086 category_theory.bundled_hom.to_fun
0.000015    19087 category_theory.bundled_hom.hom_ext
0.000016    19088 category_theory.bundled_hom.comp_to_fun
0.000017    19089 category_theory.bundled_hom.id_to_fun
0.000016    19090 function.right_id
0.000016    19091 category_theory.bundled_hom.category._proof_1
0.000017    19092 function.left_id
0.000017    19093 category_theory.bundled_hom.category._proof_2
0.000016    19094 category_theory.bundled_hom.category._proof_3
0.000017    19095 category_theory.bundled_hom.category
0.000016    19096 continuous_map
0.000017    19097 continuous_map.to_fun
0.000016    19098 continuous_map.id
0.000016    19099 continuous_map.has_coe_to_fun
0.000017    19100 continuous_map.continuous_to_fun
0.000016    19101 continuous_map.coe_continuous
0.000016    19102 continuous_map.comp._proof_1
0.000017    19103 continuous_map.comp
0.000016    19104 continuous_map.cases_on
0.000016    19105 continuous_map.coe_inj
0.000017    19106 Top.bundled_hom._proof_1
0.000016    19107 Top.bundled_hom._proof_2
0.000016    19108 Top.bundled_hom
0.000017    19109 Top.large_category
0.000016    19110 TopCommRing
0.000016    19111 CommRing
0.000017    19112 category_theory.bundled.of
0.000016    19113 CommRing.of
0.000017    19114 TopCommRing.α
0.000016    19115 TopCommRing.has_coe_to_sort
0.000017    19116 TopCommRing.is_comm_ring
0.000016    19117 TopCommRing.is_topological_space
0.000017    19118 TopCommRing.category_theory.category._proof_1
0.000016    19119 TopCommRing.category_theory.category._proof_2
0.000016    19120 ring_hom.cases_on
0.000017    19121 ring_hom.coe_inj
0.000016    19122 ring_hom.ext
0.000016    19123 ring_hom.comp_id
0.000017    19124 TopCommRing.category_theory.category._proof_3
0.000016    19125 ring_hom.id_comp
0.000017    19126 TopCommRing.category_theory.category._proof_4
0.000016    19127 TopCommRing.category_theory.category._proof_5
0.000017    19128 TopCommRing.category_theory.category
0.000017    19129 category_theory.types._proof_1
0.000016    19130 category_theory.types._proof_2
0.000016    19131 category_theory.types._proof_3
0.000016    19132 category_theory.types
0.000017    19133 category_theory.faithful
0.000016    19134 category_theory.concrete_category
0.000016    19135 category_theory.functor.comp._proof_1
0.000017    19136 category_theory.functor.map_comp
0.000016    19137 category_theory.functor.comp._proof_2
0.000017    19138 category_theory.functor.comp
0.000014    19139 category_theory.concrete_category.forget
0.000016    19140 category_theory.forget
0.000017    19141 category_theory.has_forget₂
0.141258    19142 category_theory.has_forget₂.forget₂
0.000090    19143 category_theory.forget₂
0.000024    19144 TopCommRing.category_theory.concrete_category._proof_1
0.000015    19145 TopCommRing.category_theory.concrete_category._proof_2
0.000014    19146 TopCommRing.category_theory.concrete_category._proof_3
0.000014    19147 TopCommRing.category_theory.concrete_category
0.000014    19148 category_theory.bundled_hom.category_theory.bundled.category_theory.concrete_category._proof_1
0.000014    19149 category_theory.bundled_hom.category_theory.bundled.category_theory.concrete_category._proof_2
0.000015    19150 category_theory.bundled_hom.category_theory.bundled.category_theory.concrete_category._proof_3
0.000014    19151 category_theory.bundled_hom.category_theory.bundled.category_theory.concrete_category
0.000018    19152 Top.concrete_category
0.000017    19153 category_theory.faithful.map_injective
0.000016    19154 category_theory.functor.map_injective
0.000015    19155 heq.subst
0.000014    19156 heq.trans
0.000017    19157 category_theory.faithful.div._proof_1
0.000015    19158 heq.symm
0.000016    19159 category_theory.faithful.div._proof_2
0.000016    19160 category_theory.faithful.div
0.000015    19161 category_theory.concrete_category.forget_faithful
0.000014    19162 category_theory.functor.cases_on
0.000016    19163 category_theory.faithful.div.equations._eqn_1
0.000015    19164 category_theory.functor.comp.equations._eqn_1
0.000016    19165 category_theory.faithful.div_comp
0.000016    19166 category_theory.has_forget₂.mk'._proof_1
0.000017    19167 category_theory.has_forget₂.mk'
0.000017    19168 Top.of
0.000016    19169 TopCommRing.forget_topological_space
0.000017    19170 TopCommRing.has_forget_to_Top._proof_1
0.000017    19171 TopCommRing.has_forget_to_Top._proof_2
0.000016    19172 heq.rfl
0.000017    19173 TopCommRing.has_forget_to_Top._proof_3
0.000016    19174 TopCommRing.has_forget_to_Top
0.000016    19175 continuous_map.continuous
0.000017    19176 continuous_map.has_add._proof_1
0.000016    19177 continuous_map.has_add
0.000017    19178 continuous_map.ext
0.000016    19179 continuous_map_add_semigroup._proof_1
0.000017    19180 continuous_map_add_semigroup
0.000016    19181 continuous_map_add_comm_monoid._proof_1
0.000016    19182 continuous_map.const
0.000017    19183 continuous_map.has_zero
0.000016    19184 continuous_map_add_comm_monoid._proof_2
0.000017    19185 continuous_map_add_comm_monoid._proof_3
0.000016    19186 continuous_map_add_comm_monoid._proof_4
0.000016    19187 continuous_map_add_comm_monoid
0.000017    19188 continuous_map_semiring._proof_1
0.000017    19189 continuous_map_semiring._proof_2
0.000016    19190 continuous_map_semiring._proof_3
0.000017    19191 continuous_map_semiring._proof_4
0.000016    19192 continuous_map.has_mul._proof_1
0.000016    19193 continuous_map.has_mul
0.000017    19194 continuous_map_semigroup._proof_1
0.000016    19195 continuous_map_semigroup
0.000016    19196 continuous_map_monoid._proof_1
0.000016    19197 continuous_map.has_one
0.000016    19198 continuous_map_monoid._proof_2
0.000017    19199 continuous_map_monoid._proof_3
0.000016    19200 continuous_map_monoid
0.000016    19201 continuous_map_semiring._proof_5
0.000017    19202 continuous_map_semiring._proof_6
0.000016    19203 continuous_map_semiring._proof_7
0.000016    19204 continuous_map_semiring._proof_8
0.000017    19205 continuous_map_semiring._proof_9
0.000016    19206 continuous_map_semiring._proof_10
0.000017    19207 continuous_map_semiring._proof_11
0.000016    19208 continuous_map_semiring
0.000016    19209 continuous_map_comm_ring._proof_1
0.000017    19210 continuous_map_comm_ring._proof_2
0.000016    19211 continuous_map_comm_ring._proof_3
0.000016    19212 continuous_map_comm_ring._proof_4
0.000017    19213 continuous_map_add_monoid._proof_1
0.000016    19214 continuous_map_add_monoid._proof_2
0.000017    19215 continuous_map_add_monoid._proof_3
0.000014    19216 continuous_map_add_monoid
0.000014    19217 continuous_map_add_group._proof_1
0.000016    19218 continuous_map_add_group._proof_2
0.000017    19219 continuous_map_add_group._proof_3
0.000017    19220 continuous_map_add_group._proof_4
0.000016    19221 continuous_map_add_group._proof_5
0.000017    19222 continuous_map_add_group._proof_6
0.000016    19223 continuous_map_add_group._proof_7
0.000016    19224 continuous_map_add_group._proof_8
0.000017    19225 continuous_map_add_group._proof_9
0.000016    19226 continuous_map_add_group
0.000017    19227 continuous_map_add_comm_group._proof_1
0.000016    19228 continuous_map_add_comm_group._proof_2
0.000016    19229 continuous_map_add_comm_group._proof_3
0.000016    19230 continuous_map_add_comm_group._proof_4
0.000017    19231 continuous_map_add_comm_group._proof_5
0.000016    19232 continuous_map_add_comm_group._proof_6
0.000016    19233 continuous_map_add_comm_group
0.324745    19234 topological_ring.continuous_neg
0.000093    19235 topological_ring.to_topological_add_group
0.000024    19236 continuous_map_comm_ring._proof_5
0.000015    19237 continuous_map_comm_ring._proof_6
0.000014    19238 continuous_map_comm_ring._proof_7
0.000014    19239 continuous_map_comm_ring._proof_8
0.000014    19240 continuous_map_comm_ring._proof_9
0.000014    19241 continuous_map_comm_ring._proof_10
0.000014    19242 continuous_map_comm_ring._proof_11
0.000014    19243 continuous_map_comm_ring._proof_12
0.000018    19244 continuous_map_comm_ring._proof_13
0.000018    19245 continuous_map_comm_monoid._proof_1
0.000016    19246 continuous_map_comm_monoid._proof_2
0.000015    19247 continuous_map_comm_monoid._proof_3
0.000014    19248 continuous_map_comm_monoid._proof_4
0.000018    19249 continuous_map_comm_monoid
0.000015    19250 continuous_map_comm_ring._proof_14
0.000016    19251 continuous_map_comm_ring
0.000017    19252 TopCommRing.forget_to_Top_comm_ring
0.000014    19253 TopCommRing.is_topological_ring
0.000014    19254 TopCommRing.forget_to_Top_topological_ring
0.000016    19255 Top.continuous_functions
0.000015    19256 category_theory.has_hom.hom.unop
0.000016    19257 Top.continuous_functions.pullback._proof_4
0.000015    19258 complete_lattice_of_complete_semilattice_Inf._proof_1
0.000014    19259 complete_lattice_of_complete_semilattice_Inf
0.000016    19260 measure_theory.measure.complete_semilattice_Inf._proof_1
0.000017    19261 measure_theory.measure.complete_semilattice_Inf._proof_2
0.000016    19262 measure_theory.measure.complete_semilattice_Inf._proof_3
0.000017    19263 measure_theory.measure.complete_semilattice_Inf._proof_4
0.000016    19264 complete_lattice_of_Sup._proof_1
0.000015    19265 complete_lattice_of_Sup._proof_2
0.000016    19266 upper_bounds_singleton
0.000018    19267 upper_bounds_insert
0.000016    19268 complete_lattice_of_Sup._proof_3
0.000017    19269 complete_lattice_of_Sup._proof_4
0.000017    19270 complete_lattice_of_Sup._proof_5
0.000017    19271 complete_lattice_of_Sup._proof_6
0.000016    19272 complete_lattice_of_Sup._proof_7
0.000017    19273 complete_lattice_of_Sup._proof_8
0.000016    19274 complete_lattice_of_Sup._proof_9
0.000016    19275 complete_lattice_of_Sup._proof_10
0.000017    19276 complete_lattice_of_Sup._proof_11
0.000016    19277 complete_lattice_of_Sup._proof_12
0.000016    19278 complete_lattice_of_Sup
0.000017    19279 measure_theory.outer_measure.outer_measure.order_bot._proof_1
0.000016    19280 measure_theory.outer_measure.outer_measure.order_bot._proof_2
0.000017    19281 measure_theory.outer_measure.outer_measure.order_bot._proof_3
0.000016    19282 measure_theory.outer_measure.outer_measure.order_bot._proof_4
0.000017    19283 measure_theory.outer_measure.outer_measure.order_bot._proof_5
0.000016    19284 measure_theory.outer_measure.outer_measure.order_bot
0.000017    19285 measure_theory.outer_measure.has_Sup._proof_1
0.000016    19286 le_bsupr
0.000016    19287 bsupr_le_bsupr
0.000031    19288 measure_theory.outer_measure.has_Sup._proof_2
0.000018    19289 measure_theory.outer_measure.has_Sup._proof_3
0.000015    19290 measure_theory.outer_measure.has_Sup
0.000014    19291 measure_theory.outer_measure.complete_lattice._proof_1
0.000018    19292 measure_theory.outer_measure.complete_lattice._proof_2
0.000014    19293 measure_theory.outer_measure.complete_lattice._proof_3
0.000016    19294 measure_theory.outer_measure.complete_lattice._proof_4
0.000016    19295 measure_theory.outer_measure.complete_lattice._proof_5
0.000017    19296 measure_theory.outer_measure.complete_lattice._proof_6
0.000016    19297 measure_theory.outer_measure.complete_lattice._proof_7
0.000016    19298 measure_theory.outer_measure.complete_lattice._proof_8
0.000016    19299 measure_theory.outer_measure.complete_lattice._proof_9
0.000014    19300 measure_theory.outer_measure.complete_lattice._proof_10
0.000016    19301 measure_theory.outer_measure.complete_lattice._proof_11
0.000017    19302 measure_theory.outer_measure.complete_lattice._proof_12
0.000016    19303 measure_theory.outer_measure.complete_lattice._proof_13
0.000017    19304 measure_theory.outer_measure.complete_lattice._proof_14
0.000016    19305 measure_theory.outer_measure.complete_lattice._proof_15
0.000016    19306 measure_theory.outer_measure.complete_lattice._proof_16
0.000016    19307 measure_theory.outer_measure.complete_lattice._proof_17
0.000016    19308 measure_theory.outer_measure.complete_lattice
0.000017    19309 measure_theory.outer_measure.bounded_by._proof_1
0.000016    19310 measure_theory.outer_measure.bounded_by
0.000016    19311 measure_theory.outer_measure.Inf_gen
0.000016    19312 measure_theory.outer_measure.bounded_by.equations._eqn_1
0.000017    19313 measure_theory.outer_measure.le_of_function
0.324186    19314 is_lub.cSup_eq
0.000093    19315 is_greatest.nonempty
0.000024    19316 is_greatest.cSup_eq
0.000014    19317 cSup_singleton
0.000014    19318 csupr_const
0.000015    19319 measure_theory.outer_measure.le_bounded_by
0.000014    19320 supr_const_le
0.000014    19321 measure_theory.outer_measure.bounded_by_le
0.000014    19322 measure_theory.outer_measure.Inf_eq_bounded_by_Inf_gen
0.000014    19323 set.empty_inter
0.000018    19324 measure_theory.outer_measure.bounded_by_caratheodory
0.000016    19325 measure_theory.outer_measure.Inf_gen.equations._eqn_1
0.000015    19326 measure_theory.measure_eq_infi
0.000014    19327 measure_theory.measure_eq_inter_diff
0.000019    19328 measure_theory.outer_measure.Inf_gen_def
0.000015    19329 measure_theory.to_outer_measure_apply
0.000016    19330 measure_theory.measure.Inf_caratheodory
0.000017    19331 measure_theory.measure.has_Inf
0.000017    19332 measure_theory.measure.Inf_apply
0.000018    19333 _private.173438103.measure_Inf_le
0.000016    19334 measure_theory.measure.complete_semilattice_Inf._proof_5
0.000017    19335 measure_theory.outer_measure.le_trim_iff
0.000016    19336 measure_theory.measure.to_outer_measure_le
0.000017    19337 _private.1468285355.measure_le_Inf
0.000016    19338 measure_theory.measure.complete_semilattice_Inf._proof_6
0.000017    19339 measure_theory.measure.complete_semilattice_Inf
0.000016    19340 measure_theory.measure.complete_lattice._proof_1
0.000017    19341 measure_theory.measure.complete_lattice._proof_2
0.000016    19342 measure_theory.measure.complete_lattice._proof_3
0.000016    19343 measure_theory.measure.complete_lattice._proof_4
0.000016    19344 measure_theory.measure.complete_lattice._proof_5
0.000017    19345 measure_theory.measure.complete_lattice._proof_6
0.000017    19346 measure_theory.measure.complete_lattice._proof_7
0.000016    19347 measure_theory.measure.complete_lattice._proof_8
0.000017    19348 measure_theory.measure.complete_lattice._proof_9
0.000016    19349 measure_theory.measure.complete_lattice._proof_10
0.000016    19350 measure_theory.measure.complete_lattice._proof_11
0.000016    19351 measure_theory.measure.complete_lattice._proof_12
0.000017    19352 measure_theory.measure.complete_lattice._proof_13
0.000016    19353 measure_theory.measure.complete_lattice._proof_14
0.000017    19354 measure_theory.measure.complete_lattice._proof_15
0.000014    19355 measure_theory.measure.complete_lattice._proof_16
0.000014    19356 measure_theory.measure.complete_lattice
0.000017    19357 onote
0.000017    19358 onote.sizeof
0.000016    19359 onote.zero.sizeof_spec
0.000017    19360 linear_ordered_add_comm_monoid.add
0.000016    19361 linear_ordered_add_comm_monoid.add_assoc
0.000016    19362 linear_ordered_add_comm_monoid.zero
0.000017    19363 linear_ordered_add_comm_monoid.zero_add
0.000016    19364 linear_ordered_add_comm_monoid.add_zero
0.000017    19365 linear_ordered_add_comm_monoid.add_comm
0.000016    19366 linear_ordered_add_comm_monoid.add_le_add_left
0.000016    19367 linear_ordered_add_comm_monoid.lt_of_add_lt_add_left
0.000017    19368 linear_ordered_add_comm_monoid.to_ordered_add_comm_monoid
0.000016    19369 linear_ordered_add_comm_monoid_with_top
0.000017    19370 valuation
0.000016    19371 multiplicative.ordered_comm_monoid._proof_1
0.000017    19372 multiplicative.ordered_comm_monoid._proof_2
0.000016    19373 multiplicative.ordered_comm_monoid._proof_3
0.000016    19374 multiplicative.ordered_comm_monoid._proof_4
0.000017    19375 multiplicative.partial_order
0.000016    19376 multiplicative.ordered_comm_monoid._proof_5
0.000016    19377 multiplicative.ordered_comm_monoid._proof_6
0.000017    19378 multiplicative.ordered_comm_monoid._proof_7
0.000017    19379 multiplicative.ordered_comm_monoid._proof_8
0.000016    19380 multiplicative.ordered_comm_monoid
0.000016    19381 linear_ordered_add_comm_monoid_with_top.le
0.000017    19382 linear_ordered_add_comm_monoid_with_top.lt
0.000017    19383 linear_ordered_add_comm_monoid_with_top.le_refl
0.000017    19384 linear_ordered_add_comm_monoid_with_top.le_trans
0.000016    19385 linear_ordered_add_comm_monoid_with_top.lt_iff_le_not_le
0.000017    19386 linear_ordered_add_comm_monoid_with_top.le_antisymm
0.000016    19387 linear_ordered_add_comm_monoid_with_top.le_total
0.000017    19388 linear_ordered_add_comm_monoid_with_top.decidable_le
0.000016    19389 linear_ordered_add_comm_monoid_with_top.decidable_eq
0.000016    19390 linear_ordered_add_comm_monoid_with_top.decidable_lt
0.000017    19391 linear_ordered_add_comm_monoid_with_top.add
0.000016    19392 linear_ordered_add_comm_monoid_with_top.add_assoc
0.000017    19393 linear_ordered_add_comm_monoid_with_top.zero
0.000016    19394 linear_ordered_add_comm_monoid_with_top.zero_add
0.104942    19395 linear_ordered_add_comm_monoid_with_top.add_zero
0.000090    19396 linear_ordered_add_comm_monoid_with_top.add_comm
0.000025    19397 linear_ordered_add_comm_monoid_with_top.add_le_add_left
0.000015    19398 linear_ordered_add_comm_monoid_with_top.lt_of_add_lt_add_left
0.000014    19399 linear_ordered_add_comm_monoid_with_top.to_linear_ordered_add_comm_monoid
0.000014    19400 multiplicative.linear_ordered_comm_monoid_with_zero._proof_1
0.000015    19401 multiplicative.linear_ordered_comm_monoid_with_zero._proof_2
0.000014    19402 multiplicative.linear_ordered_comm_monoid_with_zero._proof_3
0.000014    19403 multiplicative.linear_ordered_comm_monoid_with_zero._proof_4
0.000018    19404 multiplicative.linear_order
0.000018    19405 multiplicative.linear_ordered_comm_monoid_with_zero._proof_5
0.000017    19406 multiplicative.linear_ordered_comm_monoid_with_zero._proof_6
0.000015    19407 multiplicative.linear_ordered_comm_monoid_with_zero._proof_7
0.000014    19408 multiplicative.linear_ordered_comm_monoid_with_zero._proof_8
0.000014    19409 multiplicative.linear_ordered_comm_monoid_with_zero._proof_9
0.000017    19410 multiplicative.linear_ordered_comm_monoid_with_zero._proof_10
0.000015    19411 ordered_comm_monoid.lt_of_mul_lt_mul_left
0.000016    19412 multiplicative.linear_ordered_comm_monoid_with_zero._proof_11
0.000015    19413 linear_ordered_add_comm_monoid_with_top.top
0.000014    19414 linear_ordered_add_comm_monoid_with_top.le_top
0.000014    19415 linear_ordered_add_comm_monoid_with_top.to_order_top
0.000017    19416 linear_ordered_add_comm_monoid_with_top.top_add'
0.000015    19417 top_add
0.000014    19418 multiplicative.linear_ordered_comm_monoid_with_zero._proof_12
0.000014    19419 add_top
0.000015    19420 multiplicative.linear_ordered_comm_monoid_with_zero._proof_13
0.000016    19421 multiplicative.linear_ordered_comm_monoid_with_zero._proof_14
0.000015    19422 multiplicative.linear_ordered_comm_monoid_with_zero
0.000014    19423 add_valuation
0.000015    19424 valuation.to_fun
0.000016    19425 add_valuation.has_coe_to_fun
0.000015    19426 valuation.has_coe_to_fun
0.000016    19427 valuation.map_add'
0.000014    19428 valuation.map_add
0.000014    19429 valuation.map_add_le
0.000017    19430 add_valuation.map_le_add
0.000014    19431 rbnode
0.000016    19432 rbnode.color
0.000017    19433 rbnode.color.cases_on
0.000017    19434 rbnode.cases_on
0.000016    19435 rbnode.mk_insert_result._main
0.000017    19436 rbnode.mk_insert_result
0.000016    19437 rbnode.get_color._main
0.000017    19438 rbnode.get_color
0.000016    19439 rbnode.below
0.000016    19440 rbnode.brec_on
0.000015    19441 rbnode.ins._match_1
0.000016    19442 cmp_using
0.000014    19443 rbnode.color.no_confusion_type
0.000014    19444 rbnode.color.no_confusion
0.000015    19445 rbnode.color.decidable_eq._proof_1
0.000016    19446 rbnode.color.decidable_eq._proof_2
0.000016    19447 rbnode.color.decidable_eq
0.000017    19448 rbnode.balance1._main
0.000017    19449 rbnode.balance1
0.000016    19450 rbnode.balance1_node._main
0.000017    19451 rbnode.balance1_node
0.000017    19452 rbnode.balance2._main
0.000017    19453 rbnode.balance2
0.000016    19454 rbnode.balance2_node._main
0.000016    19455 rbnode.balance2_node
0.000017    19456 rbnode.ins._match_2
0.000016    19457 rbnode.ins._main
0.000026    19458 rbnode.ins
0.000016    19459 rbnode.insert
0.000014    19460 rbnode.well_formed
0.000015    19461 rbtree
0.000014    19462 rbmap_lt
0.000018    19463 rbmap
0.000017    19464 rbnode.find._match_1
0.000016    19465 rbnode.find._match_2
0.000016    19466 rbnode.find._main
0.000017    19467 rbnode.find
0.000016    19468 rbtree.find._main
0.000017    19469 rbtree.find
0.000016    19470 rbmap.rbmap_lt_dec
0.000016    19471 rbmap.find_entry._match_1
0.000017    19472 rbmap.find_entry
0.000016    19473 rbmap.contains
0.000017    19474 rbmap.contains.equations._eqn_1
0.000016    19475 omega.int.preterm
0.000016    19476 omega.int.preform
0.000017    19477 omega.int.preform.below
0.000016    19478 omega.int.preform.brec_on
0.000017    19479 omega.int.preform.cases_on
0.000016    19480 omega.int.push_neg._main
0.000017    19481 omega.int.push_neg
0.000014    19482 omega.int.nnf._main
0.000016    19483 omega.int.nnf
0.000017    19484 omega.int.nnf._main.equations._eqn_3
0.000016    19485 omega.int.nnf.equations._eqn_3
0.000017    19486 filter.germ.has_sup
0.000016    19487 filter.germ.lift_rel._proof_1
0.000016    19488 filter.germ.lift_rel
0.000016    19489 filter.germ.has_le
0.000017    19490 filter.eventually_le.refl
0.000016    19491 filter.germ.preorder._proof_1
0.000016    19492 quotient.induction_on₃'
0.000017    19493 filter.germ.induction_on₃
0.000016    19494 filter.germ.preorder._proof_2
0.000016    19495 filter.germ.preorder._proof_3
0.000017    19496 filter.germ.preorder
0.000016    19497 filter.germ.partial_order._proof_1
0.000017    19498 filter.germ.partial_order._proof_2
0.000016    19499 filter.germ.partial_order._proof_3
0.000017    19500 quotient.induction_on₂'
0.107484    19501 filter.germ.induction_on₂
0.000092    19502 filter.eventually_eq.germ_eq
0.000023    19503 filter.eventually_le.antisymm
0.000015    19504 filter.germ.partial_order._proof_4
0.000014    19505 filter.germ.partial_order
0.000014    19506 filter.germ.semilattice_sup._proof_1
0.000014    19507 filter.germ.semilattice_sup._proof_2
0.000014    19508 filter.germ.semilattice_sup._proof_3
0.000015    19509 filter.germ.semilattice_sup._proof_4
0.000014    19510 filter.germ.semilattice_sup._proof_5
0.000018    19511 filter.germ.semilattice_sup._proof_6
0.000017    19512 filter.germ.semilattice_sup._proof_7
0.000017    19513 filter.germ.semilattice_sup
0.000014    19514 filter.germ.semilattice_sup_top._proof_8
0.000015    19515 has_strict_deriv_at.sin
0.000014    19516 category_theory.bundled_hom.map_hom
0.000015    19517 category_theory.bundled_hom.parent_projection
0.000016    19518 category_theory.bundled_hom.map._proof_1
0.000015    19519 category_theory.bundled_hom.map._proof_2
0.000014    19520 category_theory.bundled_hom.map._proof_3
0.000015    19521 category_theory.bundled_hom.map
0.000017    19522 category_theory.bundled_hom.bundled_hom_of_parent_projection
0.000015    19523 SemiRing.bundled_hom._proof_1
0.000014    19524 SemiRing.bundled_hom._proof_2
0.000017    19525 SemiRing.bundled_hom
0.000018    19526 Ring.ring.to_semiring.category_theory.bundled_hom.parent_projection
0.000017    19527 CommRing.comm_ring.to_ring.category_theory.bundled_hom.parent_projection
0.000017    19528 CommRing.large_category
0.000016    19529 CommRing.concrete_category
0.000017    19530 TopCommRing.forget_comm_ring
0.000016    19531 TopCommRing.has_forget_to_CommRing._proof_1
0.000017    19532 TopCommRing.has_forget_to_CommRing._proof_2
0.000017    19533 TopCommRing.has_forget_to_CommRing
0.000014    19534 equiv.equiv_subsingleton_cod
0.000017    19535 equiv.perm_subsingleton
0.000017    19536 equiv.perm.subsingleton_eq_refl
0.000016    19537 equiv.perm.coe_subsingleton
0.000017    19538 measurable_equiv.prod_comm._proof_1
0.000016    19539 measurable_equiv.prod_comm._proof_2
0.000017    19540 measurable_equiv.prod_comm
0.000017    19541 measurable_equiv.cases_on
0.000016    19542 measurable_equiv.sum_congr._proof_1
0.000017    19543 measurable_equiv.sum_congr._proof_2
0.000016    19544 measurable_equiv.sum_congr
0.000016    19545 measurable_equiv.prod_sum_distrib
0.000017    19546 measurable_equiv.prod_sum_distrib.equations._eqn_1
0.000017    19547 is_submonoid
0.000017    19548 is_subgroup
0.000016    19549 normal_subgroup
0.000017    19550 ulift.has_mul
0.000016    19551 ulift.has_one
0.000017    19552 ulift.has_inv
0.000016    19553 ulift.has_div
0.000017    19554 ulift.comm_group._proof_5
0.000016    19555 alg_equiv
0.000017    19556 opposite.op
0.000017    19557 opposite.has_add
0.000016    19558 opposite.unop_injective
0.000017    19559 opposite.add_semigroup._proof_1
0.000016    19560 opposite.add_semigroup
0.000017    19561 opposite.add_monoid._proof_1
0.000017    19562 opposite.has_zero
0.000016    19563 opposite.add_zero_class._proof_1
0.000017    19564 opposite.add_zero_class._proof_2
0.000016    19565 opposite.add_zero_class
0.000017    19566 opposite.add_monoid._proof_2
0.000016    19567 opposite.add_monoid._proof_3
0.000016    19568 opposite.add_monoid
0.000017    19569 opposite.add_comm_monoid._proof_1
0.000016    19570 opposite.add_comm_monoid._proof_2
0.000017    19571 opposite.add_comm_monoid._proof_3
0.000016    19572 opposite.add_comm_semigroup._proof_1
0.000016    19573 opposite.add_comm_semigroup._proof_2
0.000017    19574 opposite.add_comm_semigroup
0.000016    19575 opposite.add_comm_monoid._proof_4
0.000017    19576 opposite.add_comm_monoid
0.000016    19577 opposite.semiring._proof_1
0.000017    19578 opposite.semiring._proof_2
0.000016    19579 opposite.semiring._proof_3
0.000017    19580 opposite.semiring._proof_4
0.000016    19581 opposite.has_mul
0.000017    19582 opposite.semigroup._proof_1
0.000016    19583 opposite.semigroup
0.000016    19584 opposite.monoid._proof_1
0.000017    19585 opposite.has_one
0.000016    19586 opposite.mul_one_class._proof_1
0.000016    19587 opposite.mul_one_class._proof_2
0.000017    19588 opposite.mul_one_class
0.000016    19589 opposite.monoid._proof_2
0.000016    19590 opposite.monoid._proof_3
0.000017    19591 opposite.monoid
0.000016    19592 opposite.semiring._proof_5
0.000017    19593 opposite.semiring._proof_6
0.000016    19594 opposite.semiring._proof_7
0.000017    19595 opposite.semiring._proof_8
0.000016    19596 opposite.semiring._proof_9
0.000017    19597 opposite.distrib._proof_1
0.000016    19598 opposite.distrib._proof_2
0.000016    19599 opposite.distrib
0.000017    19600 opposite.semiring._proof_10
0.000016    19601 opposite.semiring._proof_11
0.000015    19602 opposite.semiring
0.000016    19603 quaternion_algebra.has_coe_t
0.000016    19604 quaternion_algebra.algebra._proof_1
0.000017    19605 quaternion_algebra.coe_re
0.000016    19606 quaternion_algebra.coe_im_i
0.410694    19607 quaternion_algebra.coe_im_j
0.000093    19608 quaternion_algebra.coe_im_k
0.000024    19609 quaternion_algebra.algebra._proof_2
0.000015    19610 quaternion_algebra.algebra._proof_3
0.000014    19611 quaternion_algebra.algebra._proof_4
0.000014    19612 quaternion_algebra.algebra._proof_5
0.000015    19613 quaternion_algebra.algebra._proof_6
0.000014    19614 quaternion_algebra.algebra
0.000015    19615 opposite.has_scalar
0.000014    19616 add_equiv.symm._proof_1
0.000017    19617 add_equiv.symm._proof_2
0.000017    19618 add_hom
0.000016    19619 add_hom.to_fun
0.000015    19620 add_hom.has_coe_to_fun
0.000014    19621 add_hom.map_add'
0.000015    19622 add_hom.map_add
0.000016    19623 add_hom.inverse._proof_1
0.000015    19624 add_hom.inverse
0.000016    19625 add_equiv.map_add'
0.000014    19626 add_equiv.to_add_hom
0.000015    19627 add_equiv.symm._proof_3
0.000014    19628 add_equiv.symm
0.000017    19629 add_equiv.apply_symm_apply
0.000015    19630 add_equiv.map_add
0.000014    19631 add_equiv.map_zero
0.000016    19632 add_equiv.to_add_monoid_hom._proof_1
0.000017    19633 add_equiv.to_add_monoid_hom
0.000016    19634 opposite.unop_op
0.000015    19635 opposite.op_unop
0.000014    19636 opposite.equiv_to_opposite
0.000016    19637 opposite.op_add_equiv._proof_1
0.000016    19638 opposite.op_add_equiv._proof_2
0.000016    19639 opposite.op_add_equiv._proof_3
0.000017    19640 opposite.op_add_equiv
0.000017    19641 ring_hom.to_opposite._proof_1
0.000016    19642 add_equiv.coe_to_add_monoid_hom
0.000017    19643 opposite.coe_op_add_equiv
0.000016    19644 opposite.op_mul
0.000017    19645 ring_hom.to_opposite._proof_2
0.000016    19646 ring_hom.to_opposite._proof_3
0.000017    19647 ring_hom.to_opposite._proof_4
0.000016    19648 ring_hom.to_opposite
0.000017    19649 opposite.algebra._proof_1
0.000016    19650 opposite.op_induction
0.000017    19651 opposite.algebra._proof_2
0.000016    19652 opposite.algebra._proof_3
0.000017    19653 opposite.algebra
0.000016    19654 alg_equiv.to_fun
0.000016    19655 alg_equiv.has_coe_to_fun
0.000017    19656 function.involutive.right_inverse
0.000016    19657 function.involutive.to_equiv
0.000017    19658 linear_equiv.of_involutive._proof_1
0.000016    19659 linear_equiv.of_involutive._proof_2
0.000016    19660 linear_equiv.of_involutive
0.000017    19661 quaternion_algebra.mk_add_mk
0.000017    19662 quaternion_algebra.conj._proof_1
0.000016    19663 quaternion_algebra.smul_re
0.000016    19664 quaternion_algebra.smul_im_i
0.000017    19665 quaternion_algebra.smul_im_j
0.000016    19666 quaternion_algebra.smul_im_k
0.000017    19667 quaternion_algebra.conj._proof_2
0.000017    19668 quaternion_algebra.mk.eta
0.000016    19669 quaternion_algebra.conj._proof_3
0.000017    19670 quaternion_algebra.conj
0.000016    19671 add_equiv.trans._proof_1
0.000017    19672 add_equiv.trans._proof_2
0.000016    19673 add_equiv.trans._proof_3
0.000016    19674 add_equiv.trans
0.000017    19675 quaternion_algebra.conj_alg_equiv._proof_1
0.000016    19676 quaternion_algebra.conj_alg_equiv._proof_2
0.000017    19677 quaternion_algebra.re_conj
0.000016    19678 quaternion_algebra.im_i_conj
0.000017    19679 quaternion_algebra.im_j_conj
0.000017    19680 quaternion_algebra.im_k_conj
0.000016    19681 quaternion_algebra.conj_mul
0.000016    19682 quaternion_algebra.conj_alg_equiv._proof_3
0.000017    19683 quaternion_algebra.conj_alg_equiv._proof_4
0.000016    19684 quaternion_algebra.coe_algebra_map
0.000016    19685 quaternion_algebra.conj_coe
0.000017    19686 opposite.algebra_map_apply
0.000016    19687 opposite.op_inj_iff
0.000016    19688 quaternion_algebra.coe_injective
0.000017    19689 quaternion_algebra.coe_inj
0.000016    19690 quaternion_algebra.conj_alg_equiv._proof_5
0.000016    19691 quaternion_algebra.conj_alg_equiv
0.000017    19692 quaternion_algebra.coe_conj_alg_equiv
0.000015    19693 pgame.cases_on
0.000014    19694 pgame.left_moves._main
0.000016    19695 pgame.left_moves._main.equations._eqn_1
0.000017    19696 prod.lattice._proof_6
0.000016    19697 equiv.trans_apply
0.000017    19698 equiv.perm.mul_apply
0.000016    19699 equiv.perm.apply_inv_self
0.000017    19700 equiv.perm.eq_inv_iff_eq
0.000017    19701 equiv.swap_mul_eq_mul_swap
0.000016    19702 nonunits
0.000016    19703 local_ring.is_local
0.000017    19704 local_ring.is_unit_one_sub_self_of_mem_nonunits
0.000016    19705 monoid_hom.cod_mrestrict._proof_1
0.000017    19706 monoid_hom.cod_mrestrict._proof_2
0.000016    19707 monoid_hom.cod_mrestrict
0.000016    19708 monoid_hom.cod_mrestrict.equations._eqn_1
0.000017    19709 multilinear_map.dom_coprod'._proof_4
0.000016    19710 alg_hom
0.000017    19711 subalgebra
0.000016    19712 subsemiring.mk'._proof_1
0.000017    19713 subsemiring.mk'._proof_2
0.000016    19714 subsemiring.mk'._proof_3
0.000016    19715 subsemiring.mk'._proof_4
0.000017    19716 subsemiring.mk'
0.000016    19717 subsemiring.cases_on
0.000016    19718 subsemiring.set_like._proof_1
0.000017    19719 subsemiring.set_like
0.000016    19720 submonoid.has_Inf._proof_1
0.000017    19721 submonoid.has_Inf._proof_2
0.411977    19722 submonoid.has_Inf
0.000093    19723 submonoid.coe_Inf
0.000024    19724 submonoid.coe_infi
0.000015    19725 subsemiring.coe_to_submonoid
0.000015    19726 subsemiring.has_Inf._proof_1
0.000014    19727 subsemiring.zero_mem'
0.000014    19728 subsemiring.add_mem'
0.000014    19729 subsemiring.to_add_submonoid
0.000015    19730 add_submonoid.coe_Inf
0.000014    19731 add_submonoid.coe_infi
0.000019    19732 subsemiring.coe_to_add_submonoid
0.000017    19733 subsemiring.has_Inf._proof_2
0.000014    19734 subsemiring.has_Inf
0.000014    19735 subsemiring.closure
0.000015    19736 algebra.adjoin._proof_1
0.000014    19737 algebra.adjoin._proof_2
0.000016    19738 algebra.adjoin._proof_3
0.000017    19739 algebra.adjoin._proof_4
0.000016    19740 subsemiring.mem_Inf
0.000014    19741 subsemiring.mem_closure
0.000015    19742 subsemiring.subset_closure
0.000016    19743 algebra.adjoin._proof_5
0.000015    19744 algebra.adjoin
0.000017    19745 subalgebra.fg
0.000015    19746 subalgebra.carrier
0.000017    19747 subalgebra.cases_on
0.000016    19748 subalgebra.set_like._proof_1
0.000015    19749 subalgebra.set_like
0.000014    19750 subalgebra.one_mem'
0.000016    19751 subalgebra.mul_mem'
0.000015    19752 subalgebra.zero_mem'
0.000016    19753 subalgebra.add_mem'
0.000015    19754 subalgebra.to_subsemiring
0.000014    19755 subsemiring.complete_lattice._proof_1
0.000016    19756 subsemiring.complete_lattice._proof_2
0.000017    19757 subsemiring.complete_lattice._proof_3
0.000017    19758 subsemiring.complete_lattice._proof_4
0.000016    19759 subsemiring.complete_lattice._proof_5
0.000017    19760 subsemiring.complete_lattice._proof_6
0.000016    19761 subsemiring.complete_lattice._proof_7
0.000017    19762 subsemiring.complete_lattice._proof_8
0.000016    19763 submonoid.has_inf._proof_1
0.000017    19764 submonoid.has_inf._match_1
0.000016    19765 submonoid.has_inf._match_2
0.000017    19766 submonoid.has_inf._proof_2
0.000016    19767 submonoid.has_inf
0.000017    19768 subsemiring.has_inf._proof_1
0.000016    19769 subsemiring.has_inf._proof_2
0.000017    19770 subsemiring.has_inf._proof_3
0.000016    19771 subsemiring.has_inf._proof_4
0.000017    19772 subsemiring.has_inf
0.000016    19773 subsemiring.complete_lattice._proof_9
0.000017    19774 subsemiring.complete_lattice._proof_10
0.000016    19775 subsemiring.complete_lattice._proof_11
0.000017    19776 subsemiring.has_top._proof_1
0.000016    19777 subsemiring.has_top._proof_2
0.000017    19778 subsemiring.has_top._proof_3
0.000016    19779 subsemiring.has_top._proof_4
0.000016    19780 subsemiring.has_top
0.000017    19781 subsemiring.complete_lattice._proof_12
0.000017    19782 subsemiring.map._proof_1
0.000016    19783 subsemiring.map._proof_2
0.000017    19784 subsemiring.map._proof_3
0.000014    19785 subsemiring.map._proof_4
0.000015    19786 subsemiring.map
0.000016    19787 ring_hom.srange
0.000017    19788 subsemiring.has_bot
0.000017    19789 add_submonoid.nsmul_mem
0.000016    19790 subsemiring.nsmul_mem
0.000016    19791 subsemiring.one_mem
0.000017    19792 subsemiring.coe_nat_mem
0.000016    19793 subsemiring.complete_lattice._match_1
0.000017    19794 ring_hom.srange.equations._eqn_1
0.000016    19795 subsemiring.mem_map
0.000017    19796 subsemiring.mem_top
0.000016    19797 ring_hom.mem_srange
0.000016    19798 subsemiring.mem_bot
0.000017    19799 subsemiring.complete_lattice._proof_13
0.000016    19800 subsemiring.complete_lattice._proof_14
0.000017    19801 subsemiring.complete_lattice._proof_15
0.000016    19802 subsemiring.complete_lattice._proof_16
0.000017    19803 subsemiring.complete_lattice._proof_17
0.000016    19804 subsemiring.complete_lattice
0.000016    19805 subsemiring.closure_le
0.000017    19806 subalgebra.algebra_map_mem'
0.000016    19807 subalgebra.algebra_map_mem
0.000029    19808 subalgebra.range_subset
0.000016    19809 algebra.gc
0.000014    19810 algebra.gi._proof_1
0.000014    19811 algebra.gi._proof_2
0.000014    19812 algebra.gi
0.000017    19813 algebra.subalgebra.complete_lattice
0.000017    19814 algebra.finite_type
0.000017    19815 ring_hom.finite_type
0.000016    19816 alg_hom.to_fun
0.000017    19817 alg_hom.map_one'
0.000016    19818 alg_hom.map_mul'
0.000016    19819 alg_hom.map_zero'
0.000016    19820 alg_hom.map_add'
0.000016    19821 alg_hom.to_ring_hom
0.000016    19822 alg_hom.finite_type
0.000017    19823 times_cont_diff_within_at.times_cont_diff_on
0.000016    19824 tendsto_pure_nhds
0.000016    19825 continuous_within_at_singleton
0.000016    19826 continuous_within_at_insert_self
0.000016    19827 continuous_within_at.insert_self
0.000017    19828 times_cont_diff_on.times_cont_diff_within_at
0.000016    19829 times_cont_diff_within_at.comp
0.000016    19830 times_cont_diff_at.times_cont_diff_within_at
0.000017    19831 times_cont_diff.comp_times_cont_diff_within_at
0.000016    19832 times_cont_diff.comp_times_cont_diff_at
0.000016    19833 nhds_bot_order
0.000016    19834 add_submonoid.copy._proof_1
0.000017    19835 add_submonoid.copy._proof_2
0.000016    19836 add_submonoid.copy
0.158676    19837 add_subgroup.coe_to_add_submonoid
0.000091    19838 add_subgroup.has_Inf._proof_1
0.000024    19839 add_subgroup.has_Inf._proof_2
0.000014    19840 add_subgroup.has_Inf._proof_3
0.000015    19841 add_subgroup.has_Inf._proof_4
0.000014    19842 add_subgroup.has_Inf
0.000014    19843 add_subgroup.complete_lattice._proof_1
0.000015    19844 add_subgroup.complete_lattice._proof_2
0.000014    19845 add_subgroup.complete_lattice._proof_3
0.000019    19846 add_subgroup.complete_lattice._proof_4
0.000017    19847 add_subgroup.complete_lattice._proof_5
0.000018    19848 add_subgroup.complete_lattice._proof_6
0.000017    19849 add_subgroup.complete_lattice._proof_7
0.000014    19850 add_subgroup.complete_lattice._proof_8
0.000014    19851 add_subgroup.has_inf._proof_1
0.000017    19852 add_subgroup.has_inf._proof_2
0.000015    19853 add_subgroup.has_inf._match_1
0.000017    19854 add_subgroup.has_inf._proof_3
0.000017    19855 add_subgroup.has_inf
0.000022    19856 add_subgroup.complete_lattice._proof_9
0.000024    19857 add_subgroup.complete_lattice._proof_10
0.000015    19858 add_subgroup.complete_lattice._proof_11
0.000014    19859 add_subgroup.has_top._proof_1
0.000016    19860 add_subgroup.has_top._proof_2
0.000018    19861 add_subgroup.has_top._proof_3
0.000017    19862 add_subgroup.has_top
0.000016    19863 add_subgroup.mem_top
0.000017    19864 add_subgroup.complete_lattice._proof_12
0.000017    19865 add_subgroup.mem_bot
0.000016    19866 add_subgroup.zero_mem
0.000017    19867 add_subgroup.complete_lattice._proof_13
0.000016    19868 add_subgroup.complete_lattice._proof_14
0.000017    19869 add_subgroup.complete_lattice._proof_15
0.000016    19870 add_subgroup.complete_lattice._proof_16
0.000017    19871 add_subgroup.complete_lattice._proof_17
0.000014    19872 add_subgroup.complete_lattice
0.000014    19873 preorder_hom
0.000015    19874 omega_complete_partial_order.chain
0.000016    19875 preorder_hom.to_fun
0.000017    19876 preorder_hom.has_coe_to_fun
0.000017    19877 omega_complete_partial_order.chain.has_coe_to_fun
0.000016    19878 omega_complete_partial_order
0.000017    19879 omega_complete_partial_order.to_partial_order
0.000016    19880 omega_complete_partial_order.ωSup
0.000016    19881 preorder_hom.monotone'
0.000017    19882 preorder_hom.monotone
0.000016    19883 preorder_hom.comp._proof_1
0.000065    19884 preorder_hom.comp
0.000020    19885 omega_complete_partial_order.chain.map
0.000017    19886 preorder_hom.prod.fst._match_1
0.000016    19887 preorder_hom.prod.fst._match_2
0.000017    19888 preorder_hom.prod.fst._match_3
0.000016    19889 preorder_hom.prod.fst._proof_1
0.000016    19890 preorder_hom.prod.fst
0.000017    19891 preorder_hom.prod.snd._match_1
0.000017    19892 preorder_hom.prod.snd._match_2
0.000016    19893 preorder_hom.prod.snd._match_3
0.000016    19894 preorder_hom.prod.snd._proof_1
0.000017    19895 preorder_hom.prod.snd
0.000016    19896 prod.ωSup
0.000017    19897 omega_complete_partial_order.le_ωSup
0.000016    19898 prod.omega_complete_partial_order._proof_1
0.000016    19899 omega_complete_partial_order.ωSup_le
0.000017    19900 prod.omega_complete_partial_order._match_1
0.000016    19901 prod.omega_complete_partial_order._proof_2
0.000017    19902 prod.omega_complete_partial_order
0.000016    19903 compact_space
0.000016    19904 bounded_continuous_function
0.000017    19905 metric.bounded_range_iff
0.000016    19906 compact_space.compact_univ
0.000017    19907 compact_univ
0.000016    19908 compact_range
0.000017    19909 bounded_continuous_function.mk_of_compact._proof_1
0.000016    19910 bounded_continuous_function.mk_of_compact
0.000016    19911 bounded_continuous_function.to_continuous_map
0.000017    19912 bounded_continuous_function.forget_boundedness
0.000016    19913 continuous_map.equiv_bounded_of_compact._proof_1
0.000017    19914 bounded_continuous_function.has_coe_to_fun
0.000016    19915 bounded_continuous_function.cases_on
0.000017    19916 bounded_continuous_function.ext
0.000016    19917 continuous_map.equiv_bounded_of_compact._proof_2
0.000017    19918 continuous_map.equiv_bounded_of_compact
0.000016    19919 continuous_map.metric_space._proof_1
0.000017    19920 bounded_continuous_function.has_dist
0.000026    19921 bounded_continuous_function.bounded'
0.000021    19922 bounded_continuous_function.bounded
0.000017    19923 dist_triangle4
0.000016    19924 dist_triangle4_left
0.000017    19925 bounded_continuous_function.dist_set_exists
0.000016    19926 bounded_continuous_function.dist_coe_le_dist
0.000016    19927 bounded_continuous_function.dist_le
0.000016    19928 _private.4204427475.dist_nonneg'
0.000016    19929 bounded_continuous_function.metric_space._proof_1
0.000016    19930 bounded_continuous_function.dist_eq
0.000017    19931 bounded_continuous_function.metric_space._proof_2
0.000016    19932 bounded_continuous_function.metric_space._proof_3
33.043524    19933 bounded_continuous_function.metric_space._proof_4
0.000095    19934 bounded_continuous_function.metric_space._proof_5
0.000025    19935 bounded_continuous_function.metric_space._proof_6
0.000014    19936 bounded_continuous_function.metric_space._proof_7
0.000015    19937 bounded_continuous_function.metric_space._proof_8
0.000014    19938 bounded_continuous_function.metric_space._proof_9
0.000014    19939 bounded_continuous_function.metric_space
0.000014    19940 continuous_map.metric_space
0.000014    19941 continuous_map.to_fun_eq_coe
0.000014    19942 continuous_map.const_coe
0.000020    19943 bounded_continuous_function.const._proof_1
0.000017    19944 bounded_continuous_function.const
0.000017    19945 bounded_continuous_function.has_zero
0.000015    19946 bounded_continuous_function.has_norm
0.000014    19947 norm_sub_le
0.000014    19948 dist_le_norm_add_norm
0.000014    19949 bounded_continuous_function.dist_le_two_norm'
0.000014    19950 bounded_continuous_function.of_normed_group._proof_1
0.000015    19951 bounded_continuous_function.of_normed_group
0.000014    19952 bounded_continuous_function.continuous
0.000016    19953 bounded_continuous_function.has_add._proof_1
0.000015    19954 bounded_continuous_function.coe_zero
0.000014    19955 bounded_continuous_function.norm_coe_le_norm
0.000017    19956 bounded_continuous_function.has_add._proof_2
0.000018    19957 bounded_continuous_function.has_add
0.000015    19958 bounded_continuous_function.coe_add
0.000014    19959 bounded_continuous_function.add_comm_group._proof_1
0.000016    19960 bounded_continuous_function.add_comm_group._proof_2
0.000015    19961 bounded_continuous_function.add_comm_group._proof_3
0.000014    19962 bounded_continuous_function.has_neg._proof_1
0.000017    19963 bounded_continuous_function.has_neg._proof_2
0.000019    19964 bounded_continuous_function.has_neg
0.000015    19965 bounded_continuous_function.has_sub._proof_1
0.000016    19966 bounded_continuous_function.has_sub._proof_2
0.000014    19967 bounded_continuous_function.has_sub
0.000015    19968 bounded_continuous_function.add_comm_group._proof_4
0.000016    19969 bounded_continuous_function.coe_neg
0.000019    19970 bounded_continuous_function.add_comm_group._proof_5
0.000015    19971 pi.add_comm_semigroup._proof_1
0.000014    19972 pi.add_comm_semigroup._proof_2
0.000018    19973 pi.add_comm_semigroup
0.000016    19974 bounded_continuous_function.add_comm_group._proof_6
0.000017    19975 bounded_continuous_function.add_comm_group
0.000018    19976 bounded_continuous_function.norm_def
0.000016    19977 bounded_continuous_function.norm_eq
0.000017    19978 bounded_continuous_function.sub_apply
0.000016    19979 bounded_continuous_function.normed_group._proof_1
0.000016    19980 bounded_continuous_function.normed_group
0.000017    19981 continuous_map.isometric_bounded_of_compact._proof_1
0.000016    19982 continuous_map.isometric_bounded_of_compact
0.000017    19983 continuous_map.isometric_bounded_of_compact_to_equiv
0.000016    19984 intermediate_field
0.000017    19985 intermediate_field.carrier
0.000016    19986 intermediate_field.cases_on
0.000016    19987 intermediate_field.set_like._proof_1
0.000016    19988 intermediate_field.set_like
0.000016    19989 function.injective.ring._proof_1
0.000016    19990 function.injective.ring._proof_2
0.000017    19991 function.injective.ring._proof_3
0.000016    19992 function.injective.ring._proof_4
0.000016    19993 function.injective.ring._proof_5
0.000017    19994 function.injective.ring._proof_6
0.000016    19995 function.injective.ring._proof_7
0.000016    19996 function.injective.ring._proof_8
0.000016    19997 function.injective.ring._proof_9
0.000016    19998 function.injective.ring._proof_10
0.000017    19999 function.injective.ring._proof_11
0.000016    20000 function.injective.ring
0.000016    20001 function.injective.comm_ring._proof_1
0.000017    20002 function.injective.comm_ring._proof_2
0.000016    20003 function.injective.comm_ring._proof_3
0.000016    20004 function.injective.comm_ring._proof_4
0.000017    20005 function.injective.comm_ring._proof_5
0.000016    20006 function.injective.comm_ring._proof_6
0.000016    20007 function.injective.comm_ring._proof_7
0.000016    20008 function.injective.comm_ring._proof_8
0.000016    20009 function.injective.comm_ring._proof_9
0.000025    20010 function.injective.comm_ring._proof_10
0.000026    20011 function.injective.comm_ring._proof_11
0.000025    20012 function.injective.comm_ring._proof_12
0.000027    20013 function.injective.comm_ring
0.000022    20014 function.injective.field._proof_1
0.000025    20015 function.injective.field._proof_2
0.000029    20016 function.injective.field._proof_3
0.000028    20017 function.injective.field._proof_4
0.000030    20018 function.injective.field._proof_5
0.000028    20019 function.injective.field._proof_6
0.491492    20020 function.injective.field._proof_7
0.000092    20021 function.injective.field._proof_8
0.000024    20022 function.injective.field._proof_9
0.000014    20023 function.injective.field._proof_10
0.000014    20024 function.injective.field._proof_11
0.000015    20025 function.injective.field._proof_12
0.000014    20026 function.injective.field._proof_13
0.000014    20027 function.injective.field._proof_14
0.000014    20028 function.injective.field._proof_15
0.000014    20029 function.injective.field._proof_16
0.000014    20030 function.injective.field
0.000015    20031 subring.cases_on
0.000017    20032 subring.set_like._proof_1
0.000017    20033 subring.set_like
0.000017    20034 subring.to_ring._proof_1
0.000014    20035 subring.to_ring._proof_2
0.000014    20036 subring.to_ring._proof_3
0.000018    20037 subring.to_ring._proof_4
0.000014    20038 subring.to_ring._proof_5
0.000016    20039 subring.to_ring._proof_6
0.000015    20040 subring.to_ring._proof_7
0.000016    20041 subring.to_ring._proof_8
0.000017    20042 subring.to_ring._proof_9
0.000017    20043 subring.to_ring._proof_10
0.000017    20044 subring.to_ring._proof_11
0.000016    20045 subring.to_ring
0.000016    20046 subfield.ring
0.000017    20047 subfield.has_inv._proof_1
0.000016    20048 subfield.has_inv
0.000016    20049 subfield.mul_mem
0.000017    20050 subfield.div_mem
0.000016    20051 subfield.has_div._proof_1
0.000016    20052 subfield.has_div
0.000016    20053 subfield.to_field._proof_1
0.000016    20054 subfield.to_field._proof_2
0.000016    20055 subfield.to_field._proof_3
0.000017    20056 subfield.to_field._proof_4
0.000016    20057 subfield.to_field._proof_5
0.000016    20058 subfield.to_field._proof_6
0.000017    20059 subfield.to_field._proof_7
0.000016    20060 subfield.to_field._proof_8
0.000016    20061 subfield.to_field._proof_9
0.000017    20062 subfield.to_field
0.000016    20063 intermediate_field.one_mem'
0.000016    20064 intermediate_field.mul_mem'
0.000017    20065 intermediate_field.zero_mem'
0.000016    20066 intermediate_field.add_mem'
0.000016    20067 intermediate_field.neg_mem'
0.000017    20068 intermediate_field.inv_mem'
0.000016    20069 intermediate_field.to_subfield
0.000016    20070 intermediate_field.to_field
0.000017    20071 subsemiring.to_semiring._proof_1
0.000016    20072 subsemiring.to_semiring._proof_2
0.000016    20073 subsemiring.to_semiring._proof_3
0.000016    20074 subsemiring.to_semiring._proof_4
0.000017    20075 subsemiring.to_semiring._proof_5
0.000016    20076 subsemiring.to_semiring._proof_6
0.000016    20077 subsemiring.to_semiring._proof_7
0.000017    20078 subsemiring.to_semiring._proof_8
0.000016    20079 subsemiring.to_semiring._proof_9
0.000016    20080 subsemiring.to_semiring._proof_10
0.000016    20081 subsemiring.to_semiring._proof_11
0.000016    20082 subsemiring.to_semiring
0.000017    20083 subalgebra.to_semiring
0.000016    20084 subsemiring.mul_mem
0.000017    20085 subalgebra.mul_mem
0.000016    20086 subalgebra.smul_mem
0.000016    20087 subalgebra.algebra._proof_1
0.000017    20088 ring_hom.cod_srestrict._proof_1
0.000016    20089 ring_hom.cod_srestrict._proof_2
0.000016    20090 add_submonoid.to_add_zero_class._proof_1
0.000016    20091 add_submonoid.to_add_zero_class._proof_2
0.000017    20092 add_submonoid.to_add_zero_class._proof_3
0.000016    20093 add_submonoid.to_add_zero_class
0.000017    20094 add_monoid_hom.cod_mrestrict._proof_1
0.000016    20095 add_monoid_hom.cod_mrestrict._proof_2
0.000016    20096 add_monoid_hom.cod_mrestrict
0.000016    20097 ring_hom.cod_srestrict._proof_3
0.000016    20098 ring_hom.cod_srestrict._proof_4
0.000017    20099 ring_hom.cod_srestrict
0.000016    20100 subalgebra.range_le
0.000016    20101 subalgebra.algebra._proof_2
0.000017    20102 subalgebra.algebra._proof_3
0.000016    20103 subalgebra.algebra._proof_4
0.000016    20104 subalgebra.algebra._proof_5
0.000017    20105 subalgebra.algebra._proof_6
0.000016    20106 subalgebra.algebra._proof_7
0.000016    20107 subalgebra.algebra._proof_8
0.000016    20108 subalgebra.algebra
0.000017    20109 intermediate_field.algebra_map_mem'
0.000016    20110 intermediate_field.to_subalgebra
0.000016    20111 intermediate_field.algebra
0.000015    20112 intermediate_field.lifts
0.000016    20113 subring.mk'._proof_1
0.000016    20114 subring.mk'._proof_2
0.000016    20115 subring.mk'._proof_3
0.000017    20116 add_subgroup.add_mem
0.000016    20117 subring.mk'._proof_4
0.000016    20118 subring.mk'._proof_5
0.000017    20119 subring.mk'
0.000016    20120 subring.coe_to_submonoid
0.000017    20121 subring.has_Inf._proof_1
0.000016    20122 add_subgroup.coe_Inf
0.000017    20123 add_subgroup.coe_infi
0.000016    20124 subring.coe_to_add_subgroup
0.000016    20125 subring.has_Inf._proof_2
0.000017    20126 subring.has_Inf
0.000016    20127 subring.closure
0.000016    20128 subring.one_mem
0.000017    20129 subfield.closure._proof_1
0.000016    20130 subring.mul_mem
0.000016    20131 subfield.closure._proof_2
0.000017    20132 subring.zero_mem
0.000016    20133 subfield.closure._proof_3
0.000016    20134 subring.add_mem
0.205949    20135 subfield.closure._proof_4
0.000092    20136 subring.neg_mem
0.000024    20137 subfield.closure._match_1
0.000015    20138 subfield.closure._proof_5
0.000014    20139 subfield.closure._match_2
0.000014    20140 subfield.closure._proof_6
0.000015    20141 subfield.closure
0.000014    20142 intermediate_field.adjoin._proof_1
0.000014    20143 intermediate_field.adjoin._proof_2
0.000014    20144 intermediate_field.adjoin._proof_3
0.000019    20145 intermediate_field.adjoin._proof_4
0.000016    20146 subring.mem_Inf
0.000017    20147 subring.mem_closure
0.000015    20148 subring.subset_closure
0.000013    20149 subfield.subring_closure_le
0.000014    20150 subfield.subset_closure
0.000015    20151 intermediate_field.adjoin._proof_5
0.000016    20152 intermediate_field.adjoin._proof_6
0.000016    20153 intermediate_field.adjoin._proof_7
0.000017    20154 intermediate_field.adjoin
0.000014    20155 subfield.mem_closure
0.000014    20156 subfield.closure_le
0.000018    20157 intermediate_field.set_range_subset
0.000015    20158 intermediate_field.adjoin_le_iff
0.000016    20159 intermediate_field.gc
0.000017    20160 intermediate_field.gi._proof_1
0.000016    20161 intermediate_field.gi._proof_2
0.000016    20162 intermediate_field.gi
0.000017    20163 intermediate_field.complete_lattice
0.000016    20164 alg_hom.coe_ring_hom
0.000016    20165 alg_hom.comp._proof_1
0.000017    20166 alg_hom.comp._proof_2
0.000016    20167 alg_hom.comp._proof_3
0.000016    20168 alg_hom.comp._proof_4
0.000015    20169 alg_hom.has_coe_to_fun
0.000015    20170 alg_hom.commutes'
0.000017    20171 alg_hom.commutes
0.000017    20172 alg_hom.comp._proof_5
0.000016    20173 alg_hom.comp
0.000017    20174 algebra.of_id._proof_1
0.000016    20175 algebra.of_id._proof_2
0.000017    20176 algebra.of_id._proof_3
0.000016    20177 algebra.of_id._proof_4
0.000017    20178 algebra.of_id._proof_5
0.000016    20179 algebra.of_id
0.000016    20180 mul_equiv
0.000017    20181 mul_equiv.to_fun
0.000016    20182 mul_equiv.has_coe_to_fun
0.000016    20183 mul_equiv.inv_fun
0.000017    20184 mul_equiv.left_inv
0.000016    20185 mul_equiv.right_inv
0.000016    20186 mul_equiv.to_equiv
0.000016    20187 mul_equiv.symm._proof_1
0.000017    20188 mul_equiv.symm._proof_2
0.000016    20189 mul_hom
0.000017    20190 mul_hom.to_fun
0.000016    20191 mul_hom.has_coe_to_fun
0.000016    20192 mul_hom.map_mul'
0.000017    20193 mul_hom.map_mul
0.000016    20194 mul_hom.inverse._proof_1
0.000017    20195 mul_hom.inverse
0.000016    20196 mul_equiv.map_mul'
0.000016    20197 mul_equiv.to_mul_hom
0.000015    20198 mul_equiv.symm._proof_3
0.000016    20199 mul_equiv.symm
0.000016    20200 mul_equiv.apply_symm_apply
0.000017    20201 mul_equiv.map_mul
0.000016    20202 mul_equiv.map_one
0.000017    20203 alg_equiv.inv_fun
0.000017    20204 alg_equiv.left_inv
0.000016    20205 alg_equiv.right_inv
0.000017    20206 alg_equiv.map_mul'
0.000016    20207 alg_equiv.to_mul_equiv
0.000017    20208 alg_equiv.map_one
0.000016    20209 alg_equiv.map_add'
0.000016    20210 alg_equiv.to_add_equiv
0.000017    20211 alg_equiv.map_zero
0.000016    20212 alg_equiv.commutes'
0.000017    20213 alg_equiv.to_alg_hom
0.000014    20214 ring_equiv
0.000014    20215 ring_equiv.to_fun
0.000015    20216 mul_equiv.trans._proof_1
0.000017    20217 mul_equiv.trans._proof_2
0.000017    20218 mul_equiv.trans._proof_3
0.000016    20219 mul_equiv.trans
0.000017    20220 ring_equiv.inv_fun
0.000017    20221 ring_equiv.left_inv
0.000016    20222 ring_equiv.right_inv
0.000017    20223 ring_equiv.map_mul'
0.000014    20224 ring_equiv.to_mul_equiv
0.000016    20225 ring_equiv.trans._proof_1
0.000017    20226 ring_equiv.trans._proof_2
0.000017    20227 ring_equiv.trans._proof_3
0.000016    20228 ring_equiv.map_add'
0.000017    20229 ring_equiv.to_add_equiv
0.000017    20230 ring_equiv.trans._proof_4
0.000016    20231 ring_equiv.trans
0.000017    20232 alg_equiv.to_ring_equiv
0.000017    20233 alg_equiv.trans._proof_1
0.000016    20234 alg_equiv.trans._proof_2
0.000016    20235 alg_equiv.trans._proof_3
0.000017    20236 alg_equiv.trans._proof_4
0.000017    20237 alg_equiv.trans._proof_5
0.000016    20238 alg_equiv.trans
0.000016    20239 intermediate_field.subalgebra.equiv_of_eq._proof_1
0.000017    20240 intermediate_field.subalgebra.equiv_of_eq._proof_2
0.000017    20241 intermediate_field.subalgebra.equiv_of_eq._proof_3
0.000016    20242 intermediate_field.subalgebra.equiv_of_eq._proof_4
0.000017    20243 intermediate_field.subalgebra.equiv_of_eq._proof_5
0.000016    20244 intermediate_field.subalgebra.equiv_of_eq._proof_6
0.000017    20245 intermediate_field.subalgebra.equiv_of_eq._proof_7
0.000017    20246 intermediate_field.subalgebra.equiv_of_eq
0.000016    20247 subalgebra.ext
0.000017    20248 intermediate_field.mem_to_subalgebra
0.000016    20249 alg_hom.range._proof_1
0.000017    20250 alg_hom.range._proof_2
0.000016    20251 alg_hom.range._proof_3
0.000017    20252 alg_hom.range._proof_4
0.000016    20253 alg_hom.range._proof_5
0.000017    20254 alg_hom.range
0.000017    20255 alg_hom.mem_range
0.000016    20256 alg_hom.coe_range
0.000017    20257 algebra.mem_bot
0.000016    20258 subring.has_top._proof_1
0.453519    20259 subring.has_top._proof_2
0.000091    20260 subring.has_top._proof_3
0.000023    20261 subring.has_top._proof_4
0.000015    20262 subring.has_top._proof_5
0.000014    20263 subring.has_top
0.000014    20264 subfield.has_top._proof_1
0.000015    20265 subfield.has_top._proof_2
0.000015    20266 subfield.has_top._proof_3
0.000014    20267 subfield.has_top._proof_4
0.000014    20268 subfield.has_top._proof_5
0.000017    20269 subring.mem_top
0.000017    20270 subfield.has_top._proof_6
0.000017    20271 subfield.has_top
0.000014    20272 subring.map._proof_1
0.000015    20273 subring.map._proof_2
0.000016    20274 add_subgroup.map._proof_1
0.000018    20275 add_subgroup.map._proof_2
0.000015    20276 add_subgroup.map._proof_3
0.000016    20277 add_subgroup.map
0.000016    20278 subring.map._proof_3
0.000014    20279 subring.map._proof_4
0.000014    20280 subring.map._proof_5
0.000017    20281 subring.map
0.000015    20282 subfield.map._proof_1
0.000016    20283 subfield.map._proof_2
0.000017    20284 subfield.map._proof_3
0.000016    20285 subfield.map._proof_4
0.000016    20286 subfield.map._proof_5
0.000017    20287 subfield.map._proof_6
0.000016    20288 subfield.map
0.000017    20289 subfield.map_le_iff_le_comap
0.000017    20290 subfield.closure_mono
0.000016    20291 subfield.mem_comap
0.000017    20292 ring_hom.field_closure_preimage_le
0.000016    20293 ring_hom.map_field_closure
0.000017    20294 subfield.coe_top
0.000016    20295 galois_insertion.l_u_eq
0.000017    20296 subfield.gi._proof_1
0.000016    20297 subfield.gi._proof_2
0.000017    20298 subfield.gi._proof_3
0.000016    20299 subfield.gi
0.000017    20300 subfield.closure_eq
0.000016    20301 subfield.closure_univ
0.000016    20302 subfield.coe_map
0.000017    20303 intermediate_field.mem_bot
0.000017    20304 intermediate_field.bot_to_subalgebra
0.000016    20305 ring_equiv.symm._proof_1
0.000017    20306 ring_equiv.symm._proof_2
0.000016    20307 ring_equiv.symm._proof_3
0.000017    20308 ring_equiv.symm._proof_4
0.000016    20309 ring_equiv.symm
0.000015    20310 alg_equiv.symm._proof_1
0.000014    20311 alg_equiv.symm._proof_2
0.000016    20312 alg_equiv.symm._proof_3
0.000017    20313 alg_equiv.symm._proof_4
0.000016    20314 ring_equiv.has_coe_to_fun
0.000017    20315 ring_equiv.to_equiv
0.000016    20316 ring_equiv.symm_apply_apply
0.000017    20317 alg_equiv.commutes
0.000016    20318 alg_equiv.symm._proof_5
0.000016    20319 alg_equiv.symm
0.000017    20320 ring_equiv.of_bijective._proof_1
0.000016    20321 ring_equiv.of_bijective._proof_2
0.000016    20322 ring_equiv.of_bijective
0.000017    20323 alg_equiv.of_bijective._proof_1
0.000017    20324 alg_equiv.of_bijective._proof_2
0.000016    20325 alg_equiv.of_bijective._proof_3
0.000016    20326 alg_equiv.of_bijective._proof_4
0.000017    20327 alg_equiv.of_bijective
0.000017    20328 algebra.bot_equiv_of_injective._match_1
0.000016    20329 algebra.bot_equiv_of_injective._match_2
0.000016    20330 algebra.bot_equiv_of_injective._proof_1
0.000017    20331 algebra.bot_equiv_of_injective
0.000016    20332 ring_hom.injective_iff
0.000017    20333 is_unit.ne_zero
0.000016    20334 mul_right_cancel_iff
0.000017    20335 mul_left_eq_self
0.000016    20336 monoid_hom.mk'._proof_1
0.000016    20337 monoid_hom.mk'
0.000017    20338 units.map._proof_1
0.000016    20339 units.map._proof_2
0.000016    20340 units.map._proof_3
0.000017    20341 units.map
0.000016    20342 is_unit.map
0.000016    20343 monoid_with_zero_hom.map_ne_zero
0.000017    20344 monoid_with_zero_hom.map_eq_zero
0.000016    20345 ring_hom.map_eq_zero
0.000016    20346 ring_hom.injective
0.000016    20347 algebra.bot_equiv._proof_1
0.000017    20348 algebra.bot_equiv
0.000016    20349 intermediate_field.bot_equiv._proof_1
0.000017    20350 intermediate_field.bot_equiv
0.000016    20351 intermediate_field.lifts.order_bot._proof_1
0.000017    20352 intermediate_field.lifts.order_bot._proof_2
0.000016    20353 intermediate_field.lifts.order_bot._proof_3
0.000017    20354 alg_hom.cases_on
0.000016    20355 alg_hom.coe_fn_inj
0.000016    20356 alg_hom.ext
0.000017    20357 intermediate_field.lifts.order_bot._proof_4
0.000016    20358 intermediate_field.lifts.order_bot._proof_5
0.000016    20359 intermediate_field.lifts.order_bot
0.000017    20360 intermediate_field.one_mem
0.000016    20361 intermediate_field.lifts.upper_bound_intermediate_field._proof_1
0.000017    20362 intermediate_field.lifts.exists_max_two
0.000016    20363 intermediate_field.mul_mem
0.000017    20364 intermediate_field.lifts.upper_bound_intermediate_field._proof_2
0.000016    20365 intermediate_field.zero_mem
0.000017    20366 intermediate_field.lifts.upper_bound_intermediate_field._proof_3
0.000016    20367 intermediate_field.add_mem
0.000017    20368 intermediate_field.lifts.upper_bound_intermediate_field._proof_4
0.000016    20369 intermediate_field.algebra_map_mem
0.000016    20370 intermediate_field.lifts.upper_bound_intermediate_field._proof_5
0.000017    20371 intermediate_field.neg_mem
0.246346    20372 intermediate_field.lifts.upper_bound_intermediate_field._proof_6
0.000094    20373 intermediate_field.inv_mem
0.000021    20374 intermediate_field.lifts.upper_bound_intermediate_field._proof_7
0.000015    20375 intermediate_field.lifts.upper_bound_intermediate_field
0.000015    20376 intermediate_field.lifts.upper_bound_alg_hom._proof_1
0.000014    20377 nat.no_zero_smul_divisors
0.000014    20378 eq_zero_of_smul_two_eq_zero
0.000014    20379 rel
0.000014    20380 rel.image
0.000017    20381 rel.image.equations._eqn_1
0.000017    20382 add_monoid_algebra.has_scalar
0.000015    20383 add_monoid_algebra.algebra._proof_1
0.000014    20384 add_monoid_algebra.algebra._proof_2
0.000016    20385 add_monoid_algebra.algebra._proof_3
0.000015    20386 add_monoid_algebra.algebra._proof_4
0.000017    20387 add_monoid_algebra.single_zero_ring_hom_apply
0.000016    20388 add_monoid_algebra.algebra._proof_5
0.000015    20389 add_monoid_algebra.algebra._proof_6
0.000014    20390 add_monoid_algebra.algebra
0.000017    20391 polynomial.algebra_of_algebra
0.000015    20392 fin.fintype.equations._eqn_1
0.000014    20393 ordnode
0.000014    20394 ordnode.below
0.000017    20395 ordnode.brec_on
0.000018    20396 ordnode.cases_on
0.000015    20397 ordnode.find_gt_aux._main
0.000014    20398 ordnode.find_gt_aux._main.equations._eqn_1
0.000014    20399 list.init._main
0.000015    20400 list.init
0.000016    20401 list.last._main
0.000017    20402 list.last
0.000017    20403 list.cons_ne_nil
0.000017    20404 list.init._main.equations._eqn_3
0.000016    20405 list.init.equations._eqn_3
0.000017    20406 list.last_cons
0.000016    20407 list.init_append_last
0.000016    20408 nat.succ_add_sub_one
0.000016    20409 list.length_init
0.000017    20410 nat.lt_add_of_zero_lt_left
0.000016    20411 nat.zero_lt_one_add
0.000016    20412 bidirectional_rec._main._pack._wf_rec_mk_dec_tactic._aux_1
0.000017    20413 list.bidirectional_rec._main._pack
0.000016    20414 list.bidirectional_rec._main
0.000017    20415 list.bidirectional_rec
0.000016    20416 list.bidirectional_rec._main._pack.equations._eqn_2
0.000017    20417 list.bidirectional_rec._main.equations._eqn_2
0.000016    20418 list.bidirectional_rec.equations._eqn_2
0.000017    20419 triv_sq_zero_ext
0.000017    20420 triv_sq_zero_ext.has_mul
0.000016    20421 triv_sq_zero_ext.has_one
0.000016    20422 triv_sq_zero_ext.fst
0.000016    20423 triv_sq_zero_ext.snd
0.000017    20424 triv_sq_zero_ext.ext
0.000016    20425 triv_sq_zero_ext.monoid._proof_3
0.000016    20426 finset.weighted_vsub_of_point._proof_1
0.000016    20427 add_torsor.to_has_vsub
0.000017    20428 finset.weighted_vsub_of_point
0.000014    20429 finset.weighted_vsub._proof_1
0.000016    20430 finset.weighted_vsub
0.000017    20431 affine_independent
0.000016    20432 subtype.coe_eta
0.000017    20433 finset.property_of_mem_map_subtype
0.000016    20434 finset.not_mem_map_subtype_of_not_property
0.000016    20435 finset.sum_subtype_map_embedding
0.000016    20436 finset.weighted_vsub_of_point.equations._eqn_1
0.000016    20437 linear_map.linear_map_apply_is_add_monoid_hom
0.000018    20438 linear_map.sum_apply
0.000016    20439 finset.weighted_vsub_of_point_apply
0.000016    20440 neg.is_add_group_hom
0.000016    20441 finset.sum_neg_distrib
0.000016    20442 finset.sum_sub_distrib
0.000017    20443 add_torsor.to_add_action
0.000016    20444 add_torsor.vadd_vsub'
0.000017    20445 vadd_vsub
0.000016    20446 vadd_right_cancel
0.000016    20447 add_action.add_vadd
0.000017    20448 add_torsor.vsub_vadd'
0.000016    20449 vsub_vadd
0.000016    20450 vsub_add_vsub_cancel
0.000017    20451 vadd_vsub_assoc
0.000016    20452 vsub_self
0.000017    20453 neg_vsub_eq_vsub_rev
0.000016    20454 vsub_sub_vsub_cancel_left
0.000016    20455 finset.weighted_vsub_of_point_eq_of_sum_eq_zero
0.000017    20456 finset.weighted_vsub_eq_weighted_vsub_of_point_of_sum_eq_zero
0.000017    20457 finset.sum_insert_of_eq_zero_if_not_mem
0.000016    20458 finset.sum_insert_zero
0.000016    20459 finset.weighted_vsub_of_point_insert
0.000017    20460 finset.not_mem_singleton
0.000016    20461 finset.eq_zero_of_sum_eq_zero
0.000016    20462 finset.sdiff_singleton_eq_erase
0.000017    20463 finset.sdiff_subset
0.000016    20464 finset.eq_of_mem_of_not_mem_erase
0.000017    20465 finset.sum_erase
0.000016    20466 finset.weighted_vsub_of_point_erase
0.000016    20467 finset.subtype_map
0.000016    20468 finset.sum_subtype_eq_sum_filter
0.000016    20469 finset.filter_true_of_mem
0.000017    20470 finset.sum_subtype_of_mem
0.000016    20471 finset.ne_of_mem_erase
0.000017    20472 finset.mem_erase_of_ne_of_mem
0.000016    20473 affine_independent_iff_linear_independent_vsub
0.000016    20474 fin.coe_zero
0.000017    20475 fin.coe_one
0.000017    20476 fin.mk_eq_subtype_mk
0.000017    20477 nat.add_def
0.000016    20478 fin.mk_one
0.000016    20479 add_action.zero_vadd
0.000016    20480 zero_vadd
0.000017    20481 eq_of_vsub_eq_zero
0.000016    20482 vsub_eq_zero_iff_eq
0.000017    20483 affine_independent_of_ne
0.000016    20484 measure_theory.outer_measure.map.equations._eqn_1
0.625759    20485 add_comm_group.int_module._proof_1
0.000093    20486 gsmul_mul'
0.000022    20487 gsmul_mul
0.000015    20488 add_comm_group.int_module._proof_2
0.000014    20489 gpow_neg_succ_of_nat
0.000014    20490 semiconj_by.units_inv_symm_left
0.000015    20491 semiconj_by.units_inv_symm_left_iff
0.000014    20492 mul_inv_self
0.000015    20493 semiconj_by.inv_symm_left_iff
0.000014    20494 semiconj_by.inv_symm_left
0.000017    20495 semiconj_by.units_inv_right_iff
0.000017    20496 semiconj_by.inv_right_iff
0.000016    20497 semiconj_by.inv_right
0.000017    20498 semiconj_by.inv_inv_symm
0.000015    20499 commute.inv_inv
0.000014    20500 commute.pow_pow
0.000017    20501 commute.mul_gpow
0.000019    20502 mul_gpow
0.000015    20503 multiplicative.comm_group._proof_1
0.000015    20504 multiplicative.comm_group._proof_2
0.000016    20505 multiplicative.comm_group._proof_3
0.000017    20506 multiplicative.comm_group._proof_4
0.000015    20507 multiplicative.comm_group._proof_5
0.000015    20508 multiplicative.comm_group._proof_6
0.000014    20509 multiplicative.comm_group
0.000017    20510 gsmul_add
0.000016    20511 add_comm_group.int_module._proof_3
0.000017    20512 gsmul_zero
0.000017    20513 add_comm_group.int_module._proof_4
0.000016    20514 add_comm_group.int_module._proof_5
0.000017    20515 add_comm_group.int_module._proof_6
0.000016    20516 add_comm_group.int_module
0.000017    20517 gsmul_def
0.000016    20518 gsmul_eq_smul_cast
0.000017    20519 gsmul_eq_smul
0.000016    20520 add_monoid_hom.map_gsmul
0.000017    20521 add_monoid_hom.map_int_module_smul
0.000016    20522 dihedral_group
0.000016    20523 dihedral_group.cases_on
0.000016    20524 _private.3297103521.mul._main
0.000017    20525 _private.3297103521.mul
0.000016    20526 _private.3297103521.mul._main.equations._eqn_1
0.000016    20527 _private.3297103521.mul.equations._eqn_1
0.000017    20528 dihedral_group.no_confusion_type
0.000016    20529 dihedral_group.no_confusion
0.000017    20530 dihedral_group.r.inj
0.000016    20531 dihedral_group.r.inj_eq
0.000017    20532 _private.3297103521.mul._main.equations._eqn_2
0.000016    20533 _private.3297103521.mul.equations._eqn_2
0.000017    20534 dihedral_group.sr.inj
0.000016    20535 dihedral_group.sr.inj_eq
0.000016    20536 _private.3297103521.mul._main.equations._eqn_3
0.000016    20537 _private.3297103521.mul.equations._eqn_3
0.000017    20538 _private.3297103521.mul._main.equations._eqn_4
0.000016    20539 _private.3297103521.mul.equations._eqn_4
0.000016    20540 dihedral_group.group._proof_1
0.000017    20541 _private.2444251763.one
0.000016    20542 dihedral_group.group._proof_2
0.000017    20543 dihedral_group.group._proof_3
0.000016    20544 _private.3924397663.inv._main
0.000016    20545 _private.3924397663.inv
0.000017    20546 dihedral_group.group._proof_4
0.000016    20547 dihedral_group.group._proof_5
0.000016    20548 dihedral_group.group._proof_6
0.000017    20549 dihedral_group.group._proof_7
0.000016    20550 dihedral_group.group._proof_8
0.000017    20551 dihedral_group.group
0.000017    20552 dihedral_group.one_def
0.000016    20553 subring.to_comm_ring._proof_5
0.000017    20554 polynomial.chebyshev.T._main
0.000016    20555 polynomial.chebyshev.T
0.000016    20556 polynomial.chebyshev.T._main.equations._eqn_3
0.000017    20557 polynomial.chebyshev.T.equations._eqn_3
0.000017    20558 polynomial.chebyshev.T._main.equations._eqn_2
0.000016    20559 polynomial.chebyshev.T.equations._eqn_2
0.000017    20560 polynomial.chebyshev.T._main.equations._eqn_1
0.000016    20561 polynomial.chebyshev.T.equations._eqn_1
0.000016    20562 polynomial.chebyshev.T_two
0.000017    20563 ideal.quotient
0.000017    20564 adjoin_root
0.000016    20565 irreducible
0.000017    20566 polynomial.factor
0.000016    20567 ideal.quotient.comm_ring._proof_1
0.000017    20568 ideal.quotient.comm_ring._proof_2
0.000016    20569 ideal.quotient.comm_ring._proof_3
0.000017    20570 ideal.quotient.comm_ring._proof_4
0.000016    20571 ideal.quotient.comm_ring._proof_5
0.000017    20572 ideal.quotient.comm_ring._proof_6
0.000016    20573 ideal.quotient.has_mul._proof_1
0.000015    20574 ideal.quotient.has_mul
0.000014    20575 ideal.quotient.comm_ring._proof_7
0.000016    20576 ideal.quotient.has_one
0.000017    20577 ideal.quotient.comm_ring._proof_8
0.000017    20578 ideal.quotient.comm_ring._proof_9
0.000016    20579 ideal.quotient.comm_ring._proof_10
0.000017    20580 ideal.quotient.comm_ring._proof_11
0.000016    20581 ideal.quotient.comm_ring._proof_12
0.000017    20582 ideal.quotient.comm_ring
0.000016    20583 adjoin_root.comm_ring
0.000017    20584 adjoin_root.field._proof_1
0.000016    20585 adjoin_root.field._proof_2
0.000017    20586 adjoin_root.field._proof_3
0.000016    20587 adjoin_root.field._proof_4
0.000017    20588 adjoin_root.field._proof_5
0.000016    20589 adjoin_root.field._proof_6
0.000017    20590 adjoin_root.field._proof_7
0.000016    20591 adjoin_root.field._proof_8
0.000017    20592 adjoin_root.field._proof_9
0.000017    20593 adjoin_root.field._proof_10
0.434407    20594 adjoin_root.field._proof_11
0.000093    20595 adjoin_root.field._proof_12
0.000023    20596 is_coatom
0.000015    20597 ideal.is_maximal
0.000014    20598 ideal.is_prime
0.000014    20599 ideal.quotient.integral_domain._proof_1
0.000015    20600 ideal.quotient.integral_domain._proof_2
0.000014    20601 ideal.quotient.integral_domain._proof_3
0.000014    20602 ideal.quotient.integral_domain._proof_4
0.000014    20603 ideal.quotient.integral_domain._proof_5
0.000017    20604 ideal.quotient.integral_domain._proof_6
0.000017    20605 ideal.quotient.integral_domain._proof_7
0.000014    20606 ideal.quotient.integral_domain._proof_8
0.000015    20607 ideal.quotient.integral_domain._proof_9
0.000018    20608 ideal.quotient.integral_domain._proof_10
0.000019    20609 ideal.quotient.integral_domain._proof_11
0.000014    20610 ideal.quotient.integral_domain._proof_12
0.000017    20611 ideal.quotient.mk._proof_1
0.000017    20612 ideal.quotient.mk._proof_2
0.000015    20613 ideal.quotient.mk._proof_3
0.000014    20614 ideal.quotient.mk._proof_4
0.000016    20615 ideal.quotient.mk
0.000018    20616 ideal.quotient.eq_zero_iff_mem
0.000015    20617 set.mem_of_eq_of_mem
0.000014    20618 ideal.eq_top_of_unit_mem
0.000018    20619 ideal.eq_top_iff_one
0.000016    20620 ideal.quotient.zero_eq_one_iff
0.000015    20621 ideal.quotient.zero_ne_one_iff
0.000014    20622 ideal.quotient.nontrivial
0.000017    20623 ideal.is_prime.ne_top'
0.000014    20624 ideal.quotient.integral_domain._proof_13
0.000016    20625 ideal.is_prime.mem_or_mem'
0.000018    20626 ideal.is_prime.mem_or_mem
0.000016    20627 ideal.quotient.integral_domain._proof_14
0.000016    20628 ideal.quotient.integral_domain
0.000017    20629 ideal.is_maximal.out
0.000016    20630 ideal.is_maximal_def
0.000016    20631 ideal.ne_top_iff_one
0.000017    20632 ideal.is_maximal_iff
0.000017    20633 ideal.subset_span
0.000016    20634 ideal.is_maximal.is_prime
0.000017    20635 ideal.is_maximal.is_prime'
0.000016    20636 ideal.quotient.field._proof_1
0.000016    20637 ideal.quotient.field._proof_2
0.000017    20638 ideal.quotient.field._proof_3
0.000016    20639 ideal.quotient.field._proof_4
0.000016    20640 ideal.quotient.field._proof_5
0.000016    20641 ideal.quotient.field._proof_6
0.000017    20642 ideal.quotient.field._proof_7
0.000016    20643 ideal.quotient.field._proof_8
0.000016    20644 ideal.quotient.field._proof_9
0.000017    20645 ideal.quotient.field._proof_10
0.000016    20646 ideal.quotient.field._proof_11
0.000016    20647 ideal.quotient.field._proof_12
0.000016    20648 ideal.quotient.field._proof_13
0.000017    20649 ideal.mem_span_insert
0.000016    20650 ideal.span_eq
0.000016    20651 ideal.is_maximal.exists_inv
0.000017    20652 ideal.neg_mem_iff
0.000016    20653 ideal.quotient.exists_inv
0.000017    20654 ideal.quotient.field._proof_14
0.000016    20655 ideal.quotient.field._proof_15
0.000017    20656 ideal.quotient.field._proof_16
0.000016    20657 ideal.quotient.field._proof_17
0.000016    20658 ideal.quotient.field._proof_18
0.000016    20659 ideal.quotient.field._proof_19
0.000017    20660 ideal.quotient.field._proof_20
0.000014    20661 ideal.quotient.field
0.000014    20662 ideal.span_le
0.000017    20663 ideal.span_singleton_le_span_singleton
0.000017    20664 set.has_one
0.000016    20665 set.singleton_one
0.000017    20666 ideal.span_singleton_one
0.000016    20667 ideal.span_singleton_eq_top
0.000015    20668 irreducible.not_unit'
0.000014    20669 submodule.is_principal.dcases_on
0.000016    20670 irreducible.dcases_on
0.000017    20671 of_irreducible_mul
0.000016    20672 is_unit.mul_right_dvd
0.000017    20673 principal_ideal_ring.is_maximal_of_irreducible
0.000016    20674 polynomial.euclidean_domain._proof_1
0.000016    20675 polynomial.euclidean_domain._proof_2
0.000017    20676 polynomial.euclidean_domain._proof_3
0.000016    20677 polynomial.euclidean_domain._proof_4
0.000017    20678 polynomial.euclidean_domain._proof_5
0.000017    20679 polynomial.euclidean_domain._proof_6
0.000016    20680 polynomial.euclidean_domain._proof_7
0.000016    20681 polynomial.euclidean_domain._proof_8
0.000017    20682 polynomial.euclidean_domain._proof_9
0.000016    20683 polynomial.euclidean_domain._proof_10
0.000017    20684 polynomial.euclidean_domain._proof_11
0.000016    20685 polynomial.euclidean_domain._proof_12
0.000016    20686 polynomial.euclidean_domain._proof_13
0.000017    20687 polynomial.div
0.000017    20688 polynomial.has_div
0.000017    20689 polynomial.div_def
0.000016    20690 polynomial.div_by_monic_zero
0.000016    20691 polynomial.euclidean_domain._proof_14
0.000017    20692 polynomial.mod
0.000016    20693 polynomial.has_mod
0.000017    20694 polynomial.mod.equations._eqn_1
0.000016    20695 polynomial.mod_by_monic_zero
0.000017    20696 polynomial.monic_mul_leading_coeff_inv
0.000017    20697 polynomial.div.equations._eqn_1
0.000016    20698 _private.3752305257.quotient_mul_add_remainder_eq_aux
0.000017    20699 polynomial.euclidean_domain._proof_15
1.143944    20700 with_bot.add_bot
0.000096    20701 polynomial.degree_mul
0.000022    20702 polynomial.degree_mul_leading_coeff_inv
0.000014    20703 _private.3829403159.remainder_lt_aux
0.000014    20704 polynomial.euclidean_domain._proof_16
0.000014    20705 polynomial.degree_le_mul_left
0.000015    20706 polynomial.euclidean_domain._proof_17
0.000014    20707 polynomial.euclidean_domain
0.000014    20708 adjoin_root.is_maximal_span
0.000014    20709 adjoin_root.field._proof_13
0.000016    20710 adjoin_root.field._proof_14
0.000017    20711 adjoin_root.field._proof_15
0.000017    20712 adjoin_root.field._proof_16
0.000015    20713 adjoin_root.field
0.000014    20714 polynomial.factor.equations._eqn_1
0.000015    20715 prime.not_unit
0.000014    20716 prime.equations._eqn_1
0.000016    20717 is_unit_of_subsingleton
0.000018    20718 is_unit_zero_iff
0.000017    20719 irreducible_of_prime
0.000014    20720 polynomial.prime_X
0.000015    20721 polynomial.irreducible_X
0.000014    20722 polynomial.irreducible_factor
0.000016    20723 polynomial.map
0.000014    20724 adjoin_root.mk
0.000017    20725 adjoin_root.of._proof_1
0.000016    20726 adjoin_root.of
0.000017    20727 adjoin_root.root
0.000016    20728 polynomial.remove_factor
0.000016    20729 polynomial.remove_factor.equations._eqn_1
0.000017    20730 polynomial.nat_degree_le_nat_degree
0.000016    20731 with_bot.coe_eq_coe
0.000017    20732 polynomial.zero_div_by_monic
0.000016    20733 polynomial.nat_degree_div_by_monic
0.000017    20734 polynomial.nat_degree_eq_of_degree_eq
0.000016    20735 polynomial.map_zero
0.000017    20736 polynomial.map.equations._eqn_1
0.000016    20737 polynomial.coeff_sum
0.000016    20738 polynomial.sum_def
0.000017    20739 polynomial.sum_C_mul_X_eq
0.000017    20740 ring_hom.is_add_monoid_hom
0.000017    20741 finsupp.single.equations._eqn_1
0.000016    20742 finsupp.coe_mk
0.000017    20743 polynomial.coeff_C_mul_X
0.000016    20744 polynomial.coeff_map
0.000017    20745 polynomial.degree_map_le
0.000016    20746 polynomial.degree_map_eq_of_leading_coeff_ne_zero
0.000017    20747 polynomial.degree_map_eq_of_injective
0.000016    20748 polynomial.degree_map
0.000015    20749 polynomial.nat_degree_map
0.000014    20750 polynomial.nat_degree_X_sub_C
0.000016    20751 polynomial.nat_degree_remove_factor
0.000017    20752 polynomial.nat_degree_remove_factor'
0.000017    20753 polynomial.splitting_field_aux
0.000016    20754 polynomial.splitting_field._proof_1
0.000017    20755 polynomial.splitting_field
0.000016    20756 polynomial.splitting_field_aux.field
0.000016    20757 polynomial.splitting_field.field
0.000017    20758 algebra.comap
0.000016    20759 algebra.comap.semiring
0.000016    20760 algebra.comap.algebra._proof_1
0.000017    20761 algebra.comap.algebra._proof_2
0.000016    20762 algebra.comap.algebra._proof_3
0.000016    20763 algebra.comap.algebra._proof_4
0.000016    20764 algebra.comap.algebra._proof_5
0.000017    20765 algebra.comap.algebra'
0.000016    20766 algebra.comap.algebra._proof_6
0.000017    20767 algebra.comap.algebra
0.000016    20768 adjoin_root.algebra
0.000016    20769 polynomial.splitting_field_aux.algebra
0.000017    20770 polynomial.splitting_field.algebra
0.000017    20771 polynomial.gal
0.000016    20772 tactic.interactive.case_tag.match_result
0.000016    20773 tactic.interactive.case_tag.match_result.sizeof
0.000016    20774 fin2
0.000055    20775 typevec
0.000018    20776 typevec.arrow
0.000014    20777 mvfunctor
0.000015    20778 mvpfunctor
0.000017    20779 mvpfunctor.A
0.000017    20780 mvpfunctor.B
0.000016    20781 mvpfunctor.obj
0.000017    20782 mvfunctor.map
0.000016    20783 typevec.comp
0.000016    20784 mvpfunctor.map._match_1
0.000017    20785 mvpfunctor.map
0.000016    20786 mvpfunctor.obj.mvfunctor
0.000017    20787 mvqpf
0.000016    20788 mvqpf.P
0.000016    20789 mvqpf.sigma.P
0.000016    20790 mvqpf.sigma
0.000017    20791 mvqpf.abs
0.000016    20792 mvqpf.sigma.abs._main
0.000016    20793 asymptotics.is_O_with_bot
0.000017    20794 asymptotics.is_o_bot
0.000016    20795 galois_connection.is_glb_l
0.000016    20796 category_theory.unbundled_hom
0.000017    20797 category_theory.unbundled_hom.cases_on
0.000016    20798 category_theory.unbundled_hom.no_confusion_type
0.000016    20799 category_theory.limits.walking_parallel_pair
0.000017    20800 category_theory.limits.walking_parallel_pair_hom
0.000016    20801 category_theory.limits.walking_parallel_pair_hom.cases_on
0.000017    20802 category_theory.limits.walking_parallel_pair.cases_on
0.000016    20803 category_theory.limits.walking_parallel_pair.no_confusion_type
0.000017    20804 category_theory.limits.walking_parallel_pair.no_confusion
0.000017    20805 category_theory.limits.walking_parallel_pair_hom.comp._main
0.000016    20806 category_theory.limits.walking_parallel_pair_hom.comp._main.equations._eqn_3
0.000017    20807 category_theory.functor.id._proof_1
0.000016    20808 category_theory.functor.id._proof_2
0.000017    20809 category_theory.functor.id
0.000016    20810 category_theory.adjunction
0.520095    20811 category_theory.adjunction.unit
0.000097    20812 category_theory.adjunction.counit
0.000021    20813 category_theory.functor.map_comp_assoc
0.000015    20814 category_theory.adjunction.unit_naturality
0.000014    20815 category_theory.functor.comp_map
0.000019    20816 category_theory.adjunction.counit_naturality
0.000015    20817 category_theory.adjunction.unit_naturality_assoc
0.000017    20818 category_theory.whisker_right._proof_1
0.000015    20819 category_theory.whisker_right
0.000014    20820 category_theory.whisker_left._proof_1
0.000017    20821 category_theory.whisker_left
0.000015    20822 category_theory.adjunction.hom_equiv
0.000017    20823 category_theory.adjunction.hom_equiv_counit
0.000016    20824 category_theory.adjunction.hom_equiv_unit
0.000015    20825 category_theory.adjunction.left_triangle
0.000014    20826 category_theory.adjunction.left_triangle_components
0.000014    20827 category_theory.adjunction.left_triangle_components_assoc
0.000017    20828 category_theory.transfer_nat_trans._proof_3
0.000014    20829 turing.partrec_to_TM2.K'
0.000016    20830 turing.partrec_to_TM2.K'.cases_on
0.000015    20831 turing.partrec_to_TM2.K'.no_confusion_type
0.000014    20832 turing.partrec_to_TM2.K'.no_confusion
0.000014    20833 turing.partrec_to_TM2.K'.decidable_eq
0.000014    20834 turing.TM2.stmt
0.000016    20835 turing.TM2.stmt.cases_on
0.000017    20836 turing.TM2.stmt.no_confusion_type
0.000016    20837 turing.TM2.stmt.no_confusion
0.000017    20838 turing.TM2.stmt.load.inj
0.000016    20839 turing.TM2.stmt.load.inj_eq
0.000017    20840 category_theory.limits.has_zero_object
0.000016    20841 category_theory.limits.limit_cone
0.000016    20842 category_theory.limits.has_limit
0.000017    20843 category_theory.limits.walking_parallel_pair_hom.comp
0.000016    20844 category_theory.limits.walking_parallel_pair_hom_category._proof_1
0.000017    20845 category_theory.limits.walking_parallel_pair_hom_category._proof_2
0.000016    20846 category_theory.limits.walking_parallel_pair_hom_category._proof_3
0.000017    20847 category_theory.limits.walking_parallel_pair_hom_category
0.000016    20848 category_theory.limits.parallel_pair._match_1
0.000017    20849 category_theory.limits.parallel_pair._match_2
0.000016    20850 category_theory.limits.parallel_pair._proof_1
0.000016    20851 category_theory.limits.walking_parallel_pair_hom_id
0.000017    20852 eq_rec_constant
0.000016    20853 category_theory.limits.parallel_pair._proof_2
0.000016    20854 category_theory.limits.parallel_pair
0.000017    20855 category_theory.limits.has_kernel
0.000016    20856 category_theory.limits.has_kernels
0.000016    20857 category_theory.limits.colimit_cocone
0.000017    20858 category_theory.limits.has_colimit
0.000017    20859 category_theory.limits.has_cokernel
0.000016    20860 category_theory.limits.has_cokernels
0.000016    20861 category_theory.limits.has_limits_of_shape
0.000016    20862 category_theory.limits.has_finite_products
0.000017    20863 category_theory.limits.has_colimits_of_shape
0.000016    20864 category_theory.limits.has_finite_coproducts
0.000017    20865 category_theory.mono
0.000016    20866 category_theory.limits.fork
0.000016    20867 category_theory.limits.kernel_fork
0.000017    20868 category_theory.limits.fork.of_ι._proof_1
0.000017    20869 category_theory.limits.fork.of_ι
0.000016    20870 category_theory.limits.has_zero_morphisms.comp_zero
0.000016    20871 category_theory.limits.kernel_fork.of_ι._proof_1
0.000016    20872 category_theory.limits.kernel_fork.of_ι
0.000017    20873 category_theory.normal_mono
0.000016    20874 category_theory.epi
0.000017    20875 category_theory.limits.cofork
0.000016    20876 category_theory.limits.cokernel_cofork
0.000017    20877 category_theory.limits.cofork.of_π._proof_1
0.000016    20878 category_theory.limits.cofork.of_π
0.000017    20879 category_theory.limits.has_zero_morphisms.zero_comp
0.000016    20880 category_theory.limits.zero_comp
0.000017    20881 category_theory.limits.cokernel_cofork.of_π._proof_1
0.000016    20882 category_theory.limits.cokernel_cofork.of_π
0.000016    20883 category_theory.normal_epi
0.000017    20884 category_theory.non_preadditive_abelian
0.000016    20885 category_theory.non_preadditive_abelian.has_zero_morphisms
0.000017    20886 category_theory.normal_epi.cases_on
0.000016    20887 category_theory.limits.has_coequalizer
0.000016    20888 category_theory.limits.colimit_cocone.cocone
0.000017    20889 category_theory.limits.has_colimit.exists_colimit
0.000016    20890 category_theory.limits.get_colimit_cocone
0.000016    20891 category_theory.limits.colimit.cocone
0.000017    20892 category_theory.limits.colimit
0.000016    20893 category_theory.limits.coequalizer
0.000017    20894 category_theory.limits.has_colimits_of_shape.has_colimit
0.342605    20895 category_theory.limits.has_colimit_of_has_colimits_of_shape
0.000093    20896 category_theory.limits.has_coequalizers
0.000020    20897 category_theory.iso
0.000015    20898 category_theory.limits.has_colimit.mk
0.000014    20899 category_theory.limits.cocone_morphism
0.000014    20900 category_theory.limits.cocone.category._proof_1
0.000014    20901 category_t