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https://github.com/leanprover-community/mathlib4
3ce43c18f614b76e161f911b75a3e1ef641620ff
Mathlib/Topology/Instances/ENNReal.lean
ENNReal.iSup_mul
[ 652, 1 ]
[ 653, 56 ]
[{"tactic": "rw [mul_comm, mul_iSup]", "annotated_tactic": ["rw [<a>mul_comm</a>, <a>mul_iSup</a>]", [{"full_name": "mul_comm", "def_path": "Mathlib/Algebra/Group/Defs.lean", "def_pos": [302, 9], "def_end_pos": [302, 17]}, {"full_name": "ENNReal.mul_iSup", "def_path": "Mathlib/Topology/Instances/ENNReal.lean", "def_pos...
https://github.com/leanprover-community/mathlib4
3ce43c18f614b76e161f911b75a3e1ef641620ff
Mathlib/Order/CompleteLattice.lean
iSup₂_le_iSup
[ 891, 1 ]
[ 892, 34 ]
[]
https://github.com/leanprover/std4
869c615eb10130c0637a7bc038e2b80253559913
lake-packages/std/Std/Data/HashMap/WF.lean
Std.HashMap.Imp.Buckets.exists_of_update
[ 24, 1 ]
[ 27, 64 ]
[{"tactic": "simp [Array.getElem_eq_data_get]", "annotated_tactic": ["simp [<a>Array.getElem_eq_data_get</a>]", [{"full_name": "Array.getElem_eq_data_get", "def_path": "lake-packages/std/Std/Data/Array/Init/Lemmas.lean", "def_pos": [28, 9], "def_end_pos": [28, 28]}]], "state_before": "\u03b1 : Type u_1\n\u03b2 : Type u...
https://github.com/leanprover/std4
869c615eb10130c0637a7bc038e2b80253559913
lake-packages/std/Std/Data/List/Lemmas.lean
List.get_replicate
[ 703, 9 ]
[ 704, 38 ]
[]
https://github.com/leanprover-community/mathlib4
3ce43c18f614b76e161f911b75a3e1ef641620ff
Mathlib/Data/Finset/Sups.lean
Finset.disjSups_comm
[ 559, 1 ]
[ 567, 33 ]
[{"tactic": "ext", "annotated_tactic": ["ext", []], "state_before": "F : Type u_1\n\u03b1 : Type u_2\n\u03b2 : Type u_3\ninst\u271d\u2074 : DecidableEq \u03b1\ninst\u271d\u00b3 : DecidableEq \u03b2\ninst\u271d\u00b2 : SemilatticeSup \u03b1\ninst\u271d\u00b9 : OrderBot \u03b1\ninst\u271d : DecidableRel Disjoint\ns s\u20...
https://github.com/leanprover-community/mathlib4
3ce43c18f614b76e161f911b75a3e1ef641620ff
Mathlib/RingTheory/Polynomial/Tower.lean
Polynomial.aeval_algebraMap_eq_zero_iff
[ 60, 1 ]
[ 63, 52 ]
[{"tactic": "rw [aeval_algebraMap_apply, Algebra.algebraMap_eq_smul_one, smul_eq_zero,\n iff_false_intro (one_ne_zero' B), or_false_iff]", "annotated_tactic": ["rw [<a>aeval_algebraMap_apply</a>, <a>Algebra.algebraMap_eq_smul_one</a>, <a>smul_eq_zero</a>,\n <a>iff_false_intro</a> (<a>one_ne_zero'</a> B), <a>or_fals...
https://github.com/leanprover-community/mathlib4
3ce43c18f614b76e161f911b75a3e1ef641620ff
Mathlib/GroupTheory/Coprod/Basic.lean
Monoid.Coprod.toProd_apply_inr
[ 502, 1 ]
[ 502, 74 ]
[]
https://github.com/leanprover-community/mathlib4
3ce43c18f614b76e161f911b75a3e1ef641620ff
Mathlib/Order/Filter/Basic.lean
Filter.eventuallyEq_inf_principal_iff
[ 1619, 1 ]
[ 1621, 27 ]
[]
https://github.com/leanprover-community/mathlib4
3ce43c18f614b76e161f911b75a3e1ef641620ff
Mathlib/RingTheory/Derivation/ToSquareZero.lean
derivationToSquareZeroOfLift_apply
[ 75, 1 ]
[ 78, 6 ]
[]
https://github.com/leanprover-community/mathlib4
3ce43c18f614b76e161f911b75a3e1ef641620ff
Mathlib/GroupTheory/Coset.lean
Subgroup.card_dvd_of_injective
[ 816, 1 ]
[ 820, 45 ]
[{"tactic": "classical calc\n card \u03b1 = card (f.range : Subgroup H) := card_congr (Equiv.ofInjective f hf)\n _ \u2223 card H := card_subgroup_dvd_card _", "annotated_tactic": ["classical calc\n <a>card</a> \u03b1 = <a>card</a> (f.range : <a>Subgroup</a> H) := <a>card_congr</a> (<a>Equiv.ofInjective</a> f...
https://github.com/leanprover-community/mathlib4
3ce43c18f614b76e161f911b75a3e1ef641620ff
Mathlib/LinearAlgebra/SymplecticGroup.lean
SymplecticGroup.mem_iff'
[ 178, 1 ]
[ 179, 57 ]
[{"tactic": "rw [\u2190 transpose_mem_iff, mem_iff, transpose_transpose]", "annotated_tactic": ["rw [\u2190 <a>transpose_mem_iff</a>, <a>mem_iff</a>, <a>transpose_transpose</a>]", [{"full_name": "SymplecticGroup.transpose_mem_iff", "def_path": "Mathlib/LinearAlgebra/SymplecticGroup.lean", "def_pos": [174, 9], "def_end_...
https://github.com/leanprover-community/mathlib4
3ce43c18f614b76e161f911b75a3e1ef641620ff
Mathlib/Data/Nat/Basic.lean
Nat.two_mul_ne_two_mul_add_one
[ 353, 1 ]
[ 355, 84 ]
[{"tactic": "rw [add_comm, add_mul_mod_self_left, mul_mod_right, mod_eq_of_lt] <;> simp", "annotated_tactic": ["rw [<a>add_comm</a>, <a>add_mul_mod_self_left</a>, <a>mul_mod_right</a>, <a>mod_eq_of_lt</a>] <;> simp", [{"full_name": "add_comm", "def_path": "Mathlib/Algebra/Group/Defs.lean", "def_pos": [301, 3], "def_end...
https://github.com/leanprover-community/mathlib4
3ce43c18f614b76e161f911b75a3e1ef641620ff
Mathlib/Topology/LocalExtr.lean
isLocalExtrOn_const
[ 195, 1 ]
[ 196, 21 ]
[]
https://github.com/leanprover-community/mathlib4
3ce43c18f614b76e161f911b75a3e1ef641620ff
Mathlib/Algebra/DirectSum/Module.lean
DirectSum.IsInternal.submodule_iSup_eq_top
[ 328, 1 ]
[ 330, 40 ]
[{"tactic": "rw [Submodule.iSup_eq_range_dfinsupp_lsum, LinearMap.range_eq_top]", "annotated_tactic": ["rw [<a>Submodule.iSup_eq_range_dfinsupp_lsum</a>, <a>LinearMap.range_eq_top</a>]", [{"full_name": "Submodule.iSup_eq_range_dfinsupp_lsum", "def_path": "Mathlib/LinearAlgebra/DFinsupp.lean", "def_pos": [307, 9], "def_...
https://github.com/leanprover-community/mathlib4
3ce43c18f614b76e161f911b75a3e1ef641620ff
Mathlib/LinearAlgebra/Basic.lean
LinearMap.funLeft_injective_of_surjective
[ 2543, 1 ]
[ 2548, 65 ]
[{"tactic": "obtain \u27e8g, hg\u27e9 := hf.hasRightInverse", "annotated_tactic": ["obtain \u27e8g, hg\u27e9 := hf.hasRightInverse", []], "state_before": "R : Type u_1\nR\u2081 : Type u_2\nR\u2082 : Type u_3\nR\u2083 : Type u_4\nR\u2084 : Type u_5\nS : Type u_6\nK : Type u_7\nK\u2082 : Type u_8\nM : Type u_9\nM' : Type...
https://github.com/leanprover-community/mathlib4
3ce43c18f614b76e161f911b75a3e1ef641620ff
Mathlib/Data/Set/Intervals/Basic.lean
Set.Ico_union_Ico'
[ 1535, 1 ]
[ 1544, 43 ]
[{"tactic": "ext1 x", "annotated_tactic": ["ext1 x", []], "state_before": "\u03b1 : Type u_1\n\u03b2 : Type u_2\ninst\u271d : LinearOrder \u03b1\na a\u2081 a\u2082 b b\u2081 b\u2082 c d : \u03b1\nh\u2081 : c \u2264 b\nh\u2082 : a \u2264 d\n\u22a2 Ico a b \u222a Ico c d = Ico (min a c) (max b d)", "state_after": "case h...
https://github.com/leanprover-community/mathlib4
3ce43c18f614b76e161f911b75a3e1ef641620ff
Mathlib/RingTheory/Localization/Basic.lean
IsLocalization.eq_zero_of_fst_eq_zero
[ 218, 1 ]
[ 221, 69 ]
[{"tactic": "rw [hx, (algebraMap R S).map_zero] at h", "annotated_tactic": ["rw [hx, (<a>algebraMap</a> R S).<a>map_zero</a>] at h", [{"full_name": "algebraMap", "def_path": "Mathlib/Algebra/Algebra/Basic.lean", "def_pos": [125, 5], "def_end_pos": [125, 15]}, {"full_name": "RingHom.map_zero", "def_path": "Mathlib/Algeb...
https://github.com/leanprover-community/mathlib4
3ce43c18f614b76e161f911b75a3e1ef641620ff
Mathlib/MeasureTheory/Measure/Regular.lean
MeasurableSet.measure_eq_iSup_isClosed_of_ne_top
[ 600, 1 ]
[ 602, 52 ]
[]
https://github.com/leanprover-community/mathlib4
3ce43c18f614b76e161f911b75a3e1ef641620ff
Mathlib/Order/Category/Semilat.lean
SemilatInfCat.coe_forget_to_partOrd
[ 143, 1 ]
[ 145, 6 ]
[]
https://github.com/leanprover-community/mathlib4
3ce43c18f614b76e161f911b75a3e1ef641620ff
Mathlib/CategoryTheory/Opposites.lean
CategoryTheory.unop_comp
[ 83, 1 ]
[ 84, 6 ]
[]
https://github.com/leanprover-community/mathlib4
3ce43c18f614b76e161f911b75a3e1ef641620ff
Mathlib/GroupTheory/Coprod/Basic.lean
Monoid.MulEquiv.coprodAssoc_symm_apply_inr_inr
[ 690, 1 ]
[ 692, 6 ]
[]
https://github.com/leanprover-community/mathlib4
3ce43c18f614b76e161f911b75a3e1ef641620ff
Mathlib/LinearAlgebra/BilinearForm.lean
BilinForm.IsAdjointPair.eq
[ 1044, 1 ]
[ 1045, 5 ]
[]
https://github.com/leanprover-community/mathlib4
3ce43c18f614b76e161f911b75a3e1ef641620ff
Mathlib/Topology/Algebra/Order/Floor.lean
tendsto_ceil_left
[ 120, 1 ]
[ 122, 30 ]
[]
https://github.com/leanprover-community/mathlib4
3ce43c18f614b76e161f911b75a3e1ef641620ff
Mathlib/Order/Disjoint.lean
IsCompl.disjoint_left_iff
[ 527, 1 ]
[ 529, 30 ]
[{"tactic": "rw [disjoint_iff]", "annotated_tactic": ["rw [<a>disjoint_iff</a>]", [{"full_name": "disjoint_iff", "def_path": "Mathlib/Order/Disjoint.lean", "def_pos": [126, 9], "def_end_pos": [126, 21]}]], "state_before": "\u03b1 : Type u_1\ninst\u271d\u00b9 : DistribLattice \u03b1\ninst\u271d : BoundedOrder \u03b1\na ...
https://github.com/leanprover-community/mathlib4
3ce43c18f614b76e161f911b75a3e1ef641620ff
Mathlib/Algebra/DualQuaternion.lean
Quaternion.imI_snd_dualNumberEquiv
[ 92, 1 ]
[ 94, 6 ]
[]
https://github.com/leanprover-community/mathlib4
3ce43c18f614b76e161f911b75a3e1ef641620ff
Mathlib/MeasureTheory/MeasurableSpace/Basic.lean
MeasurableEquiv.symm_preimage_preimage
[ 1409, 1 ]
[ 1410, 37 ]
[]
https://github.com/leanprover-community/mathlib4
3ce43c18f614b76e161f911b75a3e1ef641620ff
Mathlib/Analysis/SpecialFunctions/Pow/Real.lean
Real.exists_rat_pow_btwn_rat_aux
[ 738, 1 ]
[ 750, 26 ]
[{"tactic": "have hn' : 0 < (n : \u211d) := by exact_mod_cast hn.bot_lt", "annotated_tactic": ["have hn' : 0 < (n : \u211d) := by exact_mod_cast hn.bot_lt", []], "state_before": "z x\u271d y\u271d : \u211d\nn : \u2115\nhn : n \u2260 0\nx y : \u211d\nh : x < y\nhy : 0 < y\n\u22a2 \u2203 q, 0 < q \u2227 x < \u2191q ^ n \...
https://github.com/leanprover-community/mathlib4
3ce43c18f614b76e161f911b75a3e1ef641620ff
Mathlib/Computability/Primrec.lean
Primrec.pair
[ 362, 1 ]
[ 368, 55 ]
[{"tactic": "cases @decode \u03b1 _ n <;> simp [encodek]", "annotated_tactic": ["cases @<a>decode</a> \u03b1 _ n <;> simp [<a>encodek</a>]", [{"full_name": "Encodable.decode", "def_path": "Mathlib/Logic/Encodable/Basic.lean", "def_pos": [51, 3], "def_end_pos": [51, 9]}, {"full_name": "Encodable.encodek", "def_path": "M...
https://github.com/leanprover-community/mathlib4
3ce43c18f614b76e161f911b75a3e1ef641620ff
Mathlib/Topology/Instances/AddCircle.lean
continuousAt_toIocMod
[ 112, 1 ]
[ 117, 67 ]
[]
https://github.com/leanprover-community/mathlib4
3ce43c18f614b76e161f911b75a3e1ef641620ff
Mathlib/CategoryTheory/Limits/Shapes/Equalizers.lean
CategoryTheory.Limits.parallelPairHom_app_zero
[ 267, 1 ]
[ 270, 6 ]
[]
https://github.com/leanprover-community/mathlib4
3ce43c18f614b76e161f911b75a3e1ef641620ff
Mathlib/RingTheory/Polynomial/Basic.lean
Polynomial.natDegree_restriction
[ 312, 1 ]
[ 313, 19 ]
[{"tactic": "simp [natDegree]", "annotated_tactic": ["simp [<a>natDegree</a>]", [{"full_name": "Polynomial.natDegree", "def_path": "Mathlib/Data/Polynomial/Degree/Definitions.lean", "def_pos": [65, 5], "def_end_pos": [65, 14]}]], "state_before": "R : Type u\nS : Type u_1\ninst\u271d : Ring R\np : R[X]\n\u22a2 natDegree...
https://github.com/leanprover-community/mathlib4
3ce43c18f614b76e161f911b75a3e1ef641620ff
Mathlib/Analysis/LocallyConvex/WithSeminorms.lean
SeminormFamily.finset_sup_comp
[ 917, 1 ]
[ 921, 6 ]
[{"tactic": "ext x", "annotated_tactic": ["ext x", []], "state_before": "\ud835\udd5c : Type u_1\n\ud835\udd5c\u2082 : Type u_2\n\ud835\udd5d : Type u_3\n\ud835\udd5d\u2082 : Type u_4\nE : Type u_5\nF : Type u_6\nG : Type u_7\n\u03b9 : Type u_8\n\u03b9' : Type u_9\ninst\u271d\u2076 : NormedField \ud835\udd5c\ninst\u271...
https://github.com/leanprover-community/mathlib4
3ce43c18f614b76e161f911b75a3e1ef641620ff
Mathlib/NumberTheory/LegendreSymbol/MulCharacter.lean
MulChar.coeToFun_mul
[ 294, 1 ]
[ 295, 6 ]
[]
https://github.com/leanprover/std4
869c615eb10130c0637a7bc038e2b80253559913
lake-packages/std/Std/Classes/Order.lean
Std.OrientedCmp.cmp_refl
[ 37, 1 ]
[ 41, 48 ]
[]
https://github.com/leanprover/std4
869c615eb10130c0637a7bc038e2b80253559913
lake-packages/std/Std/Data/RBMap/Alter.lean
Std.RBNode.WF.alter
[ 394, 1 ]
[ 398, 63 ]
[]
https://github.com/leanprover-community/mathlib4
3ce43c18f614b76e161f911b75a3e1ef641620ff
Mathlib/Order/Filter/Cofinite.lean
Filter.cofinite_eq_bot
[ 64, 1 ]
[ 64, 82 ]
[]
https://github.com/leanprover-community/mathlib4
3ce43c18f614b76e161f911b75a3e1ef641620ff
Mathlib/SetTheory/Cardinal/Basic.lean
Cardinal.mul_lt_aleph0_iff_of_ne_zero
[ 1597, 1 ]
[ 1598, 72 ]
[{"tactic": "simp [mul_lt_aleph0_iff, ha, hb]", "annotated_tactic": ["simp [<a>mul_lt_aleph0_iff</a>, ha, hb]", [{"full_name": "Cardinal.mul_lt_aleph0_iff", "def_path": "Mathlib/SetTheory/Cardinal/Basic.lean", "def_pos": [1567, 9], "def_end_pos": [1567, 26]}]], "state_before": "\u03b1 \u03b2 : Type u\na b : Cardinal.{u...
https://github.com/leanprover-community/mathlib4
3ce43c18f614b76e161f911b75a3e1ef641620ff
Mathlib/Topology/Algebra/Module/FiniteDimension.lean
LinearMap.continuous_of_finiteDimensional
[ 246, 1 ]
[ 261, 49 ]
[{"tactic": "let b := Basis.ofVectorSpace \ud835\udd5c E", "annotated_tactic": ["let b := <a>Basis.ofVectorSpace</a> \ud835\udd5c E", [{"full_name": "Basis.ofVectorSpace", "def_path": "Mathlib/LinearAlgebra/Basis/VectorSpace.lean", "def_pos": [110, 19], "def_end_pos": [110, 32]}]], "state_before": "\ud835\udd5c : Type ...
https://github.com/leanprover-community/mathlib4
3ce43c18f614b76e161f911b75a3e1ef641620ff
Mathlib/Topology/FiberBundle/Trivialization.lean
Pretrivialization.target_inter_preimage_symm_source_eq
[ 201, 1 ]
[ 203, 72 ]
[{"tactic": "rw [inter_comm, f.target_eq, e.source_eq, f.preimage_symm_proj_inter]", "annotated_tactic": ["rw [<a>inter_comm</a>, f.target_eq, e.source_eq, f.preimage_symm_proj_inter]", [{"full_name": "Set.inter_comm", "def_path": "Mathlib/Data/Set/Basic.lean", "def_pos": [940, 9], "def_end_pos": [940, 19]}]], "state_b...
https://github.com/leanprover-community/mathlib4
3ce43c18f614b76e161f911b75a3e1ef641620ff
Mathlib/ModelTheory/ElementaryMaps.lean
FirstOrder.Language.ElementaryEmbedding.map_formula
[ 105, 1 ]
[ 107, 97 ]
[{"tactic": "rw [Formula.Realize, Formula.Realize, \u2190 f.map_boundedFormula, Unique.eq_default (f \u2218 default)]", "annotated_tactic": ["rw [<a>Formula.Realize</a>, <a>Formula.Realize</a>, \u2190 f.map_boundedFormula, <a>Unique.eq_default</a> (f \u2218 <a>default</a>)]", [{"full_name": "FirstOrder.Language.Formula...
https://github.com/leanprover-community/mathlib4
3ce43c18f614b76e161f911b75a3e1ef641620ff
Mathlib/Data/Set/Sigma.lean
Set.sigma_empty
[ 90, 1 ]
[ 91, 30 ]
[]
https://github.com/leanprover-community/mathlib4
3ce43c18f614b76e161f911b75a3e1ef641620ff
Mathlib/Data/Set/NAry.lean
Set.image2_singleton_right
[ 200, 1 ]
[ 201, 23 ]
[{"tactic": "simp", "annotated_tactic": ["simp", []], "state_before": "\u03b1 : Type u_1\n\u03b1' : Type u_2\n\u03b2 : Type u_3\n\u03b2' : Type u_4\n\u03b3 : Type u_5\n\u03b3' : Type u_6\n\u03b4 : Type u_7\n\u03b4' : Type u_8\n\u03b5 : Type u_9\n\u03b5' : Type u_10\n\u03b6 : Type u_11\n\u03b6' : Type u_12\n\u03bd : Typ...
https://github.com/leanprover-community/mathlib4
3ce43c18f614b76e161f911b75a3e1ef641620ff
Mathlib/Algebra/Ring/Units.lean
Units.divp_add_divp
[ 113, 1 ]
[ 118, 13 ]
[{"tactic": "simp only [divp, add_mul, mul_inv_rev, val_mul]", "annotated_tactic": ["simp only [<a>divp</a>, <a>add_mul</a>, <a>mul_inv_rev</a>, <a>val_mul</a>]", [{"full_name": "divp", "def_path": "Mathlib/Algebra/Group/Units.lean", "def_pos": [434, 5], "def_end_pos": [434, 9]}, {"full_name": "add_mul", "def_path": "M...
https://github.com/leanprover-community/mathlib4
3ce43c18f614b76e161f911b75a3e1ef641620ff
Mathlib/Combinatorics/SimpleGraph/Basic.lean
SimpleGraph.edge_other_incident_set
[ 1080, 1 ]
[ 1083, 48 ]
[{"tactic": "use h.1", "annotated_tactic": ["use h.1", []], "state_before": "\u03b9 : Sort u_1\n\ud835\udd5c : Type u_2\nV : Type u\nW : Type v\nX : Type w\nG : SimpleGraph V\nG' : SimpleGraph W\na b c u v\u271d w : V\ne\u271d : Sym2 V\ninst\u271d : DecidableEq V\nv : V\ne : Sym2 V\nh : e \u2208 incidenceSet G v\n\u22a...
https://github.com/leanprover-community/mathlib4
3ce43c18f614b76e161f911b75a3e1ef641620ff
Mathlib/ModelTheory/Syntax.lean
FirstOrder.Language.monotone_distinctConstantsTheory
[ 1148, 1 ]
[ 1150, 63 ]
[]
https://github.com/leanprover-community/mathlib4
3ce43c18f614b76e161f911b75a3e1ef641620ff
Mathlib/Tactic/Ring/Basic.lean
Mathlib.Tactic.Ring.mul_exp_pos
[ 611, 1 ]
[ 612, 43 ]
[]
https://github.com/leanprover-community/mathlib4
3ce43c18f614b76e161f911b75a3e1ef641620ff
Mathlib/Combinatorics/SimpleGraph/Density.lean
Rel.edgeDensity_empty_right
[ 156, 1 ]
[ 157, 73 ]
[{"tactic": "rw [edgeDensity, Finset.card_empty, Nat.cast_zero, mul_zero, div_zero]", "annotated_tactic": ["rw [<a>edgeDensity</a>, <a>Finset.card_empty</a>, <a>Nat.cast_zero</a>, <a>mul_zero</a>, <a>div_zero</a>]", [{"full_name": "Rel.edgeDensity", "def_path": "Mathlib/Combinatorics/SimpleGraph/Density.lean", "def_pos...
https://github.com/leanprover-community/mathlib4
3ce43c18f614b76e161f911b75a3e1ef641620ff
Mathlib/Algebra/MonoidAlgebra/Basic.lean
MonoidAlgebra.single_mul_apply_aux
[ 565, 1 ]
[ 575, 64 ]
[{"tactic": "classical exact\n have : (f.sum fun a b => ite (x * a = y) (0 * b) 0) = 0 := by simp\n calc\n (HMul.hMul (\u03b1 := MonoidAlgebra k G) (single x r) f) y =\n sum f fun a b => ite (x * a = y) (r * b) 0 :=\n (mul_apply _ _ _).trans <| sum_single_index this\n _ = f.sum fun a b =...
https://github.com/leanprover-community/mathlib4
3ce43c18f614b76e161f911b75a3e1ef641620ff
Mathlib/Analysis/Calculus/UniformLimitsDeriv.lean
uniformCauchySeqOnFilter_of_deriv
[ 479, 1 ]
[ 483, 68 ]
[{"tactic": "simp_rw [hasDerivAt_iff_hasFDerivAt] at hf", "annotated_tactic": ["simp_rw [<a>hasDerivAt_iff_hasFDerivAt</a>] at hf", [{"full_name": "hasDerivAt_iff_hasFDerivAt", "def_path": "Mathlib/Analysis/Calculus/Deriv/Basic.lean", "def_pos": [222, 9], "def_end_pos": [222, 35]}]], "state_before": "\u03b9 : Type u_1\...
https://github.com/leanprover-community/mathlib4
3ce43c18f614b76e161f911b75a3e1ef641620ff
Mathlib/Data/Prod/Basic.lean
Prod.mk.eta
[ 32, 1 ]
[ 33, 18 ]
[]
https://github.com/leanprover-community/mathlib4
3ce43c18f614b76e161f911b75a3e1ef641620ff
Mathlib/Analysis/Convex/Between.lean
wbtw_const_vsub_iff
[ 198, 1 ]
[ 200, 33 ]
[]
https://github.com/leanprover-community/mathlib4
3ce43c18f614b76e161f911b75a3e1ef641620ff
Mathlib/GroupTheory/SpecificGroups/Quaternion.lean
QuaternionGroup.card
[ 174, 1 ]
[ 176, 7 ]
[{"tactic": "rw [\u2190 Fintype.card_eq.mpr \u27e8fintypeHelper\u27e9, Fintype.card_sum, ZMod.card, two_mul]", "annotated_tactic": ["rw [\u2190 Fintype.card_eq.mpr \u27e8<a>fintypeHelper</a>\u27e9, <a>Fintype.card_sum</a>, <a>ZMod.card</a>, <a>two_mul</a>]", [{"full_name": "_private.Mathlib.GroupTheory.SpecificGroups.Q...
https://github.com/leanprover-community/mathlib4
3ce43c18f614b76e161f911b75a3e1ef641620ff
Mathlib/Init/Order/LinearOrder.lean
min_eq_right_of_lt
[ 146, 1 ]
[ 147, 28 ]
[]
https://github.com/leanprover-community/mathlib4
3ce43c18f614b76e161f911b75a3e1ef641620ff
Mathlib/MeasureTheory/Constructions/BorelSpace/Basic.lean
measurable_liminf
[ 1519, 1 ]
[ 1521, 70 ]
[]
https://github.com/leanprover-community/mathlib4
3ce43c18f614b76e161f911b75a3e1ef641620ff
Mathlib/LinearAlgebra/AffineSpace/AffineMap.lean
AffineMap.ext_iff
[ 146, 1 ]
[ 147, 28 ]
[]
https://github.com/leanprover-community/mathlib4
3ce43c18f614b76e161f911b75a3e1ef641620ff
Mathlib/Analysis/Calculus/DiffContOnCl.lean
diffContOnCl_const
[ 52, 1 ]
[ 53, 49 ]
[]
https://github.com/leanprover-community/mathlib4
3ce43c18f614b76e161f911b75a3e1ef641620ff
Mathlib/Geometry/Manifold/Diffeomorph.lean
Diffeomorph.symm_refl
[ 238, 1 ]
[ 239, 19 ]
[]
https://github.com/leanprover-community/mathlib4
3ce43c18f614b76e161f911b75a3e1ef641620ff
Mathlib/Algebra/Order/Floor.lean
Int.le_floor_add_floor
[ 763, 1 ]
[ 767, 19 ]
[{"tactic": "rw [\u2190 sub_le_iff_le_add, le_floor, Int.cast_sub, sub_le_comm, Int.cast_sub, Int.cast_one]", "annotated_tactic": ["rw [\u2190 <a>sub_le_iff_le_add</a>, <a>le_floor</a>, <a>Int.cast_sub</a>, <a>sub_le_comm</a>, <a>Int.cast_sub</a>, <a>Int.cast_one</a>]", [{"full_name": "sub_le_iff_le_add", "def_path": "...
https://github.com/leanprover-community/mathlib4
3ce43c18f614b76e161f911b75a3e1ef641620ff
Mathlib/RingTheory/Ideal/Operations.lean
RingHom.not_one_mem_ker
[ 2090, 1 ]
[ 2092, 20 ]
[{"tactic": "rw [mem_ker, map_one]", "annotated_tactic": ["rw [<a>mem_ker</a>, <a>map_one</a>]", [{"full_name": "RingHom.mem_ker", "def_path": "Mathlib/RingTheory/Ideal/Operations.lean", "def_pos": [2074, 9], "def_end_pos": [2074, 16]}, {"full_name": "map_one", "def_path": "Mathlib/Algebra/Hom/Group/Defs.lean", "def_po...
https://github.com/leanprover-community/mathlib4
3ce43c18f614b76e161f911b75a3e1ef641620ff
Mathlib/Data/Pi/Algebra.lean
Pi.mul_apply
[ 83, 1 ]
[ 84, 6 ]
[]
https://github.com/leanprover-community/mathlib4
3ce43c18f614b76e161f911b75a3e1ef641620ff
Mathlib/RingTheory/IsAdjoinRoot.lean
IsAdjoinRoot.map_repr
[ 169, 1 ]
[ 170, 35 ]
[]
https://github.com/leanprover/std4
869c615eb10130c0637a7bc038e2b80253559913
lake-packages/std/Std/Data/RBMap/Lemmas.lean
Std.RBSet.toStream_eq
[ 647, 1 ]
[ 647, 78 ]
[]
https://github.com/leanprover-community/mathlib4
3ce43c18f614b76e161f911b75a3e1ef641620ff
Mathlib/LinearAlgebra/Dual.lean
LinearEquiv.dualMap_apply
[ 246, 1 ]
[ 248, 6 ]
[]
https://github.com/leanprover-community/mathlib4
3ce43c18f614b76e161f911b75a3e1ef641620ff
Mathlib/Data/Int/Bitwise.lean
Int.bitwise_or
[ 221, 1 ]
[ 235, 32 ]
[{"tactic": "funext m n", "annotated_tactic": ["funext m n", []], "state_before": "\u22a2 bitwise or = lor", "state_after": "case h.h\nm n : \u2124\n\u22a2 bitwise or m n = lor m n"}, {"tactic": "cases' m with m m <;> cases' n with n n <;> try {rfl}\n <;> simp only [bitwise, natBitwise, Bool.not_false, Bool.or_true, c...
https://github.com/leanprover-community/mathlib4
3ce43c18f614b76e161f911b75a3e1ef641620ff
Mathlib/Analysis/BoundedVariation.lean
LocallyBoundedVariationOn.exists_monotoneOn_sub_monotoneOn
[ 788, 1 ]
[ 795, 33 ]
[{"tactic": "rcases eq_empty_or_nonempty s with (rfl | \u27e8c, cs\u27e9)", "annotated_tactic": ["rcases <a>eq_empty_or_nonempty</a> s with (rfl | \u27e8c, cs\u27e9)", [{"full_name": "Set.eq_empty_or_nonempty", "def_path": "Mathlib/Data/Set/Basic.lean", "def_pos": [635, 9], "def_end_pos": [635, 29]}]], "state_before": ...
https://github.com/leanprover-community/mathlib4
3ce43c18f614b76e161f911b75a3e1ef641620ff
Mathlib/Topology/Bases.lean
Set.Finite.isSeparable
[ 492, 1 ]
[ 493, 27 ]
[]
https://github.com/leanprover-community/mathlib4
3ce43c18f614b76e161f911b75a3e1ef641620ff
Mathlib/Computability/TuringMachine.lean
Turing.eval_maximal₁
[ 851, 1 ]
[ 855, 27 ]
[{"tactic": "let \u27e8_, b0\u27e9 := mem_eval.1 h", "annotated_tactic": ["let \u27e8_, b0\u27e9 := <a>mem_eval</a>.1 h", [{"full_name": "Turing.mem_eval", "def_path": "Mathlib/Computability/TuringMachine.lean", "def_pos": [830, 9], "def_end_pos": [830, 17]}]], "state_before": "\u03c3 : Type u_1\nf : \u03c3 \u2192 Opti...
https://github.com/leanprover-community/mathlib4
3ce43c18f614b76e161f911b75a3e1ef641620ff
Mathlib/AlgebraicGeometry/ProjectiveSpectrum/Topology.lean
ProjectiveSpectrum.subset_zeroLocus_vanishingIdeal
[ 172, 1 ]
[ 174, 24 ]
[]
https://github.com/leanprover-community/mathlib4
3ce43c18f614b76e161f911b75a3e1ef641620ff
Mathlib/Topology/Algebra/OpenSubgroup.lean
OpenSubgroup.mem_top
[ 140, 1 ]
[ 141, 10 ]
[]
https://github.com/leanprover-community/mathlib4
3ce43c18f614b76e161f911b75a3e1ef641620ff
Mathlib/MeasureTheory/Measure/Hausdorff.lean
MeasureTheory.OuterMeasure.mkMetric'.mono_pre_nat
[ 284, 1 ]
[ 285, 66 ]
[{"tactic": "simpa", "annotated_tactic": ["simpa", []], "state_before": "\u03b9 : Type u_1\nX : Type u_2\nY : Type u_3\ninst\u271d\u00b9 : EMetricSpace X\ninst\u271d : EMetricSpace Y\nm\u271d : Set X \u2192 \u211d\u22650\u221e\nr : \u211d\u22650\u221e\n\u03bc : OuterMeasure X\ns\u271d : Set X\nm : Set X \u2192 \u211d\u...
https://github.com/leanprover-community/mathlib4
3ce43c18f614b76e161f911b75a3e1ef641620ff
Mathlib/Logic/Basic.lean
exists_of_bex
[ 1077, 1 ]
[ 1078, 26 ]
[]
https://github.com/leanprover-community/mathlib4
3ce43c18f614b76e161f911b75a3e1ef641620ff
Mathlib/Analysis/Calculus/ContDiffDef.lean
tsupport_iteratedFDeriv_subset
[ 1569, 1 ]
[ 1576, 61 ]
[{"tactic": "induction' n with n IH", "annotated_tactic": ["induction' n with n IH", []], "state_before": "\ud835\udd5c : Type u\ninst\u271d\u2078 : NontriviallyNormedField \ud835\udd5c\nE : Type uE\ninst\u271d\u2077 : NormedAddCommGroup E\ninst\u271d\u2076 : NormedSpace \ud835\udd5c E\nF : Type uF\ninst\u271d\u2075 : ...
https://github.com/leanprover-community/mathlib4
3ce43c18f614b76e161f911b75a3e1ef641620ff
Mathlib/FieldTheory/RatFunc.lean
RatFunc.ofFractionRing_smul
[ 443, 1 ]
[ 445, 51 ]
[{"tactic": "simp only [SMul.smul, HSMul.hSMul, RatFunc.smul]", "annotated_tactic": ["simp only [<a>SMul.smul</a>, <a>HSMul.hSMul</a>, <a>RatFunc.smul</a>]", [{"full_name": "SMul.smul", "def_path": "Mathlib/Algebra/Group/Defs.lean", "def_pos": [82, 3], "def_end_pos": [82, 7]}, {"full_name": "HSMul.hSMul", "def_path": "...
https://github.com/leanprover-community/mathlib4
3ce43c18f614b76e161f911b75a3e1ef641620ff
Mathlib/NumberTheory/LegendreSymbol/ZModChar.lean
ZMod.χ₈_nat_mod_eight
[ 150, 1 ]
[ 150, 92 ]
[{"tactic": "rw [\u2190 ZMod.nat_cast_mod n 8]", "annotated_tactic": ["rw [\u2190 <a>ZMod.nat_cast_mod</a> n 8]", [{"full_name": "ZMod.nat_cast_mod", "def_path": "Mathlib/Data/ZMod/Basic.lean", "def_pos": [712, 9], "def_end_pos": [712, 21]}]], "state_before": "n : \u2115\n\u22a2 \u2191\u03c7\u2088 \u2191n = \u2191\u03c...
https://github.com/leanprover-community/mathlib4
3ce43c18f614b76e161f911b75a3e1ef641620ff
Mathlib/GroupTheory/SchurZassenhaus.lean
Subgroup.exists_right_complement'_of_coprime
[ 291, 1 ]
[ 308, 34 ]
[{"tactic": "by_cases hN1 : Nat.card N = 0", "annotated_tactic": ["by_cases hN1 : <a>Nat.card</a> N = 0", [{"full_name": "Nat.card", "def_path": "Mathlib/SetTheory/Cardinal/Finite.lean", "def_pos": [37, 15], "def_end_pos": [37, 19]}]], "state_before": "n : \u2115\nG : Type u\ninst\u271d\u00b9 : Group G\nN : Subgroup G\...
https://github.com/leanprover-community/mathlib4
3ce43c18f614b76e161f911b75a3e1ef641620ff
Mathlib/Algebra/Homology/Single.lean
ChainComplex.single₀_obj_X_dTo
[ 163, 1 ]
[ 165, 7 ]
[{"tactic": "rw [dTo_eq ((single\u2080 V).obj X) rfl]", "annotated_tactic": ["rw [<a>dTo_eq</a> ((<a>single\u2080</a> V).<a>obj</a> X) <a>rfl</a>]", [{"full_name": "HomologicalComplex.dTo_eq", "def_path": "Mathlib/Algebra/Homology/HomologicalComplex.lean", "def_pos": [467, 9], "def_end_pos": [467, 15]}, {"full_name": "...
https://github.com/leanprover-community/mathlib4
3ce43c18f614b76e161f911b75a3e1ef641620ff
Mathlib/Data/Set/Function.lean
Set.BijOn.union
[ 963, 1 ]
[ 965, 72 ]
[]
https://github.com/leanprover-community/mathlib4
3ce43c18f614b76e161f911b75a3e1ef641620ff
Mathlib/Topology/Algebra/OpenSubgroup.lean
OpenSubgroup.mem_nhds_one
[ 130, 1 ]
[ 131, 30 ]
[]
https://github.com/leanprover-community/mathlib4
3ce43c18f614b76e161f911b75a3e1ef641620ff
Mathlib/Topology/Order/Basic.lean
isOpen_Ioi
[ 332, 1 ]
[ 333, 43 ]
[]
https://github.com/leanprover-community/mathlib4
3ce43c18f614b76e161f911b75a3e1ef641620ff
Mathlib/Analysis/Analytic/Basic.lean
AnalyticOn.mono
[ 706, 1 ]
[ 707, 28 ]
[]
https://github.com/leanprover-community/mathlib4
3ce43c18f614b76e161f911b75a3e1ef641620ff
Mathlib/Order/Heyting/Basic.lean
sdiff_le_iff'
[ 504, 1 ]
[ 504, 80 ]
[{"tactic": "rw [sdiff_le_iff, sup_comm]", "annotated_tactic": ["rw [<a>sdiff_le_iff</a>, <a>sup_comm</a>]", [{"full_name": "sdiff_le_iff", "def_path": "Mathlib/Order/Heyting/Basic.lean", "def_pos": [500, 9], "def_end_pos": [500, 21]}, {"full_name": "sup_comm", "def_path": "Mathlib/Order/Lattice.lean", "def_pos": [250,...
https://github.com/leanprover-community/mathlib4
3ce43c18f614b76e161f911b75a3e1ef641620ff
Mathlib/Algebra/CharP/Basic.lean
Commute.add_pow_prime_eq
[ 45, 11 ]
[ 48, 45 ]
[{"tactic": "simpa using h.add_pow_prime_pow_eq hp 1", "annotated_tactic": ["simpa using h.add_pow_prime_pow_eq hp 1", []], "state_before": "R : Type u_1\ninst\u271d : Semiring R\np : \u2115\nx y : R\nhp : Nat.Prime p\nh : Commute x y\n\u22a2 (x + y) ^ p = x ^ p + y ^ p + \u2191p * \u2211 k in Ioo 0 p, x ^ k * y ^ (p -...
https://github.com/leanprover-community/mathlib4
3ce43c18f614b76e161f911b75a3e1ef641620ff
Mathlib/Data/Matrix/Notation.lean
Matrix.vec2_dotProduct
[ 513, 1 ]
[ 514, 19 ]
[]
https://github.com/leanprover-community/mathlib4
3ce43c18f614b76e161f911b75a3e1ef641620ff
Mathlib/Analysis/NormedSpace/PiLp.lean
PiLp.nndist_eq_iSup
[ 501, 1 ]
[ 506, 27 ]
[{"tactic": "push_cast", "annotated_tactic": ["push_cast", []], "state_before": "p : \u211d\u22650\u221e\n\ud835\udd5c : Type u_1\n\ud835\udd5c' : Type u_2\n\u03b9 : Type u_3\n\u03b1 : \u03b9 \u2192 Type u_4\n\u03b2\u271d : \u03b9 \u2192 Type u_5\ninst\u271d\u00b2 : Fintype \u03b9\ninst\u271d\u00b9 : Fact (1 \u2264 p)\...
https://github.com/leanprover-community/mathlib4
3ce43c18f614b76e161f911b75a3e1ef641620ff
Mathlib/Data/List/Intervals.lean
List.Ico.filter_le_of_le_bot
[ 184, 1 ]
[ 188, 36 ]
[{"tactic": "rw [decide_eq_true_eq]", "annotated_tactic": ["rw [<a>decide_eq_true_eq</a>]", [{"full_name": "decide_eq_true_eq", "def_path": "lake-packages/lean4/src/lean/Init/SimpLemmas.lean", "def_pos": [139, 17], "def_end_pos": [139, 34]}]], "state_before": "n m l : \u2115\nhln : l \u2264 n\nk : \u2115\nhk : k \u2208...
https://github.com/leanprover-community/mathlib4
3ce43c18f614b76e161f911b75a3e1ef641620ff
Mathlib/Order/CompleteLattice.lean
sInf_eq_bot
[ 664, 1 ]
[ 665, 23 ]
[]
https://github.com/leanprover-community/mathlib4
3ce43c18f614b76e161f911b75a3e1ef641620ff
Mathlib/Data/Polynomial/RingDivision.lean
Polynomial.prime_X_sub_C
[ 406, 1 ]
[ 409, 14 ]
[{"tactic": "simp_rw [dvd_iff_isRoot, IsRoot.def, eval_mul, mul_eq_zero]", "annotated_tactic": ["simp_rw [<a>dvd_iff_isRoot</a>, <a>IsRoot.def</a>, <a>eval_mul</a>, <a>mul_eq_zero</a>]", [{"full_name": "Polynomial.dvd_iff_isRoot", "def_path": "Mathlib/Data/Polynomial/Div.lean", "def_pos": [472, 9], "def_end_pos": [472,...
https://github.com/leanprover-community/mathlib4
3ce43c18f614b76e161f911b75a3e1ef641620ff
Mathlib/MeasureTheory/Measure/Haar/Basic.lean
MeasureTheory.Measure.haar.is_left_invariant_index
[ 286, 1 ]
[ 290, 80 ]
[{"tactic": "refine' le_antisymm (mul_left_index_le hK hV g) _", "annotated_tactic": ["refine' <a>le_antisymm</a> (<a>mul_left_index_le</a> hK hV g) _", [{"full_name": "le_antisymm", "def_path": "Mathlib/Init/Order/Defs.lean", "def_pos": [188, 9], "def_end_pos": [188, 20]}, {"full_name": "MeasureTheory.Measure.haar.mul...
https://github.com/leanprover-community/mathlib4
3ce43c18f614b76e161f911b75a3e1ef641620ff
Mathlib/RingTheory/NonUnitalSubring/Basic.lean
NonUnitalSubring.coe_set_mk
[ 169, 1 ]
[ 171, 6 ]
[]
https://github.com/leanprover-community/mathlib4
3ce43c18f614b76e161f911b75a3e1ef641620ff
Mathlib/Algebra/Order/Floor.lean
Int.ceil_sub_ofNat
[ 1249, 1 ]
[ 1250, 19 ]
[]
https://github.com/leanprover-community/mathlib4
3ce43c18f614b76e161f911b75a3e1ef641620ff
Mathlib/Data/List/Basic.lean
List.attach_map_coe'
[ 3029, 1 ]
[ 3031, 51 ]
[{"tactic": "rw [attach, map_pmap]", "annotated_tactic": ["rw [<a>attach</a>, <a>map_pmap</a>]", [{"full_name": "List.attach", "def_path": "lake-packages/std/Std/Data/List/Basic.lean", "def_pos": [767, 34], "def_end_pos": [767, 40]}, {"full_name": "List.map_pmap", "def_path": "Mathlib/Data/List/Basic.lean", "def_pos": ...
https://github.com/leanprover-community/mathlib4
3ce43c18f614b76e161f911b75a3e1ef641620ff
Mathlib/FieldTheory/IntermediateField.lean
IntermediateField.mem_toSubalgebra
[ 113, 1 ]
[ 114, 10 ]
[]
https://github.com/leanprover-community/mathlib4
3ce43c18f614b76e161f911b75a3e1ef641620ff
Mathlib/GroupTheory/Perm/List.lean
List.mem_of_formPerm_ne_self
[ 399, 1 ]
[ 403, 16 ]
[{"tactic": "suffices x \u2208 { y | formPerm l y \u2260 y } by\n rw [\u2190 mem_toFinset]\n exact support_formPerm_le' _ this", "annotated_tactic": ["suffices x \u2208 { y | <a>formPerm</a> l y \u2260 y } by\n rw [\u2190 <a>mem_toFinset</a>]\n exact <a>support_formPerm_le'</a> _ this", [{"full_name": "List.for...
https://github.com/leanprover-community/mathlib4
3ce43c18f614b76e161f911b75a3e1ef641620ff
Mathlib/CategoryTheory/Equivalence.lean
CategoryTheory.Equivalence.functor_unit_comp
[ 153, 1 ]
[ 155, 27 ]
[]
https://github.com/leanprover-community/mathlib4
3ce43c18f614b76e161f911b75a3e1ef641620ff
Mathlib/Algebra/Category/GroupCat/Basic.lean
GroupCat.coe_of
[ 102, 1 ]
[ 103, 6 ]
[]
https://github.com/leanprover-community/mathlib4
3ce43c18f614b76e161f911b75a3e1ef641620ff
Mathlib/MeasureTheory/Measure/VectorMeasure.lean
MeasureTheory.VectorMeasure.map_id
[ 588, 1 ]
[ 589, 72 ]
[{"tactic": "rw [map_apply v measurable_id hi, Set.preimage_id]", "annotated_tactic": ["rw [<a>map_apply</a> v <a>measurable_id</a> hi, <a>Set.preimage_id</a>]", [{"full_name": "MeasureTheory.VectorMeasure.map_apply", "def_path": "Mathlib/MeasureTheory/Measure/VectorMeasure.lean", "def_pos": [581, 9], "def_end_pos": [5...
https://github.com/leanprover-community/mathlib4
3ce43c18f614b76e161f911b75a3e1ef641620ff
Mathlib/MeasureTheory/Group/AddCircle.lean
AddCircle.closedBall_ae_eq_ball
[ 34, 1 ]
[ 48, 53 ]
[{"tactic": "cases' le_or_lt \u03b5 0 with h\u03b5 h\u03b5", "annotated_tactic": ["cases' <a>le_or_lt</a> \u03b5 0 with h\u03b5 h\u03b5", [{"full_name": "le_or_lt", "def_path": "Mathlib/Init/Order/Defs.lean", "def_pos": [340, 9], "def_end_pos": [340, 17]}]], "state_before": "T : \u211d\nhT : Fact (0 < T)\nx : AddCircle...
https://github.com/leanprover-community/mathlib4
3ce43c18f614b76e161f911b75a3e1ef641620ff
Mathlib/RingTheory/NonUnitalSubring/Basic.lean
NonUnitalSubring.map_id
[ 435, 1 ]
[ 436, 42 ]
[]
https://github.com/leanprover-community/mathlib4
3ce43c18f614b76e161f911b75a3e1ef641620ff
Mathlib/Topology/Algebra/Module/LinearPMap.lean
LinearPMap.closure_def
[ 107, 1 ]
[ 108, 21 ]
[{"tactic": "simp [closure, hf]", "annotated_tactic": ["simp [<a>closure</a>, hf]", [{"full_name": "LinearPMap.closure", "def_path": "Mathlib/Topology/Algebra/Module/LinearPMap.lean", "def_pos": [103, 19], "def_end_pos": [103, 26]}]], "state_before": "R : Type u_1\nE : Type u_2\nF : Type u_3\ninst\u271d\u00b9\u00b9 : C...
https://github.com/leanprover-community/mathlib4
3ce43c18f614b76e161f911b75a3e1ef641620ff
Mathlib/Logic/Basic.lean
xor_true
[ 285, 9 ]
[ 285, 61 ]
[{"tactic": "simp [Xor']", "annotated_tactic": ["simp [<a>Xor'</a>]", [{"full_name": "Xor'", "def_path": "Mathlib/Init/Logic.lean", "def_pos": [103, 5], "def_end_pos": [103, 9]}]], "state_before": "\u22a2 Xor' True = Not", "state_after": "no goals"}]