file_path stringlengths 11 79 | full_name stringlengths 2 100 | traced_tactics list | end list | commit stringclasses 4
values | url stringclasses 4
values | start list |
|---|---|---|---|---|---|---|
Mathlib/Analysis/Normed/Group/Seminorm.lean | NonarchAddGroupNorm.sup_apply | [] | [
963,
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Mathlib/Analysis/SpecialFunctions/Trigonometric/Deriv.lean | ContDiffAt.ccosh | [] | [
492,
45
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
490,
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Mathlib/Analysis/Calculus/FDeriv/Equiv.lean | LinearIsometryEquiv.comp_fderivWithin | [] | [
346,
42
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
344,
1
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Mathlib/GroupTheory/Perm/Sign.lean | Equiv.Perm.sign_one | [] | [
560,
25
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
559,
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Mathlib/MeasureTheory/Measure/WithDensityVectorMeasure.lean | MeasureTheory.Integrable.withDensityᵥ_eq_iff | [] | [
164,
86
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
162,
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Mathlib/Algebra/Homology/ShortExact/Preadditive.lean | CategoryTheory.Split.leftSplit | [] | [
133,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
130,
1
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Std/Classes/LawfulMonad.lean | SatisfiesM_Option_eq | [
{
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{
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189,
85
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Mathlib/FieldTheory/RatFunc.lean | RatFunc.denom_algebraMap | [
{
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"tactic": "convert denom_div p one_ne_zero <;> simp"
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] | [
1222,
43
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1221,
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Mathlib/Algebra/Lie/Basic.lean | LieHom.coe_toLinearMap | [] | [
297,
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296,
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Mathlib/Data/MvPolynomial/Division.lean | MvPolynomial.modMonomial_add_divMonomial_single | [] | [
210,
34
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Mathlib/Data/Finsupp/Basic.lean | Finsupp.subtypeDomain_apply | [] | [
1038,
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Mathlib/Data/Real/ENNReal.lean | ENNReal.coe_max | [] | [
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Mathlib/Data/MvPolynomial/Cardinal.lean | MvPolynomial.cardinal_mk_eq_max_lift | [
{
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"tactic": "rw [mk_finsupp_nat, max_assoc, lift_max, lift_aleph0, max_comm]"
}
] | [
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Mathlib/Data/Sym/Sym2.lean | Sym2.map_congr | [
{
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411,
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Mathlib/RingTheory/Localization/Basic.lean | IsLocalization.mk'_self' | [] | [
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Topology/Sheaves/Stalks.lean | TopCat.Presheaf.stalkPushforward.id | [
{
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"state_before": "C : Type u\ninst✝¹ : Category C\ninst✝ : HasColimits C\nX Y Z : TopCat\nℱ : Presheaf C X\nx :... | [
186,
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Mathlib/Data/Set/Pointwise/Interval.lean | Set.preimage_sub_const_Iic | [
{
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Mathlib/Analysis/InnerProductSpace/Basic.lean | OrthogonalFamily.norm_sum | [
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2058,
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2054,
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Mathlib/Data/Matrix/Block.lean | Matrix.blockDiag'_conjTranspose | [] | [
828,
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Mathlib/GroupTheory/Complement.lean | Subgroup.isComplement_top_left | [
{
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156,
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Mathlib/GroupTheory/Abelianization.lean | Abelianization.map_of | [] | [
183,
6
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182,
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Mathlib/LinearAlgebra/TensorProduct.lean | TensorProduct.lift.unique | [
{
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496,
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Mathlib/Analysis/InnerProductSpace/Basic.lean | inner_self_nonneg | [] | [
578,
39
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
577,
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Mathlib/CategoryTheory/Limits/Shapes/CommSq.lean | CategoryTheory.IsPullback.op | [] | [
645,
30
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642,
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Mathlib/Topology/Algebra/Module/CharacterSpace.lean | WeakDual.CharacterSpace.apply_mem_spectrum | [] | [
196,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/RingTheory/Localization/Ideal.lean | IsLocalization.mem_map_algebraMap_iff | [
{
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Mathlib/Analysis/SpecialFunctions/Complex/Circle.lean | expMapCircle_sub_two_pi | [] | [
106,
33
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
105,
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Mathlib/Data/Nat/Order/Basic.lean | Nat.le_add_one_iff | [] | [
217,
67
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
212,
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Mathlib/Data/Set/Semiring.lean | Set.up_mul | [] | [
164,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
163,
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Mathlib/CategoryTheory/Category/Preorder.lean | CategoryTheory.homOfLE_comp | [] | [
85,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Data/Finset/Basic.lean | Finset.erase_subset_iff_of_mem | [
{
"state_after": "no goals",
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"tactic": "rw [← subset_insert_iff, insert_eq_of_mem h]"
}
] | [
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47
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Data/List/Chain.lean | List.Pairwise.chain' | [] | [
244,
34
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/MeasureTheory/Group/FundamentalDomain.lean | MeasureTheory.IsFundamentalDomain.set_integral_eq | [
{
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Mathlib/RingTheory/WittVector/Basic.lean | WittVector.ghostMap_apply | [] | [
319,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
318,
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Mathlib/Data/Fin/Basic.lean | Fin.coe_divNat | [] | [
1622,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1621,
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Mathlib/Algebra/CharP/Quotient.lean | CharP.quotient | [] | [
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/LinearAlgebra/Matrix/Determinant.lean | RingEquiv.map_det | [] | [
337,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
335,
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Mathlib/Order/ConditionallyCompleteLattice/Basic.lean | not_mem_of_lt_csInf | [] | [
599,
54
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
598,
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Mathlib/Algebra/Algebra/Tower.lean | IsScalarTower.algebraMap_eq | [
{
"state_after": "no goals",
"state_before": "R : Type u\nS : Type v\nA : Type w\nB : Type u₁\nM : Type v₁\ninst✝¹⁰ : CommSemiring R\ninst✝⁹ : CommSemiring S\ninst✝⁸ : Semiring A\ninst✝⁷ : Semiring B\ninst✝⁶ : Algebra R S\ninst✝⁵ : Algebra S A\ninst✝⁴ : Algebra S B\ninst✝³ : Algebra R A\ninst✝² : Algebra R ... | [
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Mathlib/Data/Complex/Basic.lean | Complex.ofReal_ne_zero | [] | [
160,
27
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
159,
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Mathlib/Topology/Separation.lean | isOpen_ne_fun | [] | [
1184,
44
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1182,
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Mathlib/RingTheory/HahnSeries.lean | HahnSeries.single_coeff_of_ne | [] | [
166,
43
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/LinearAlgebra/LinearIndependent.lean | linearIndependent_empty_type | [] | [
178,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
177,
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Mathlib/GroupTheory/Nilpotent.lean | nilpotencyClass_le_of_ker_le_center | [
{
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"state_before": "G : Type u_2\ninst✝² : Grou... | [
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Mathlib/GroupTheory/Congruence.lean | Con.ker_apply_eq_preimage | [] | [
892,
62
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
889,
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Mathlib/Init/Algebra/Order.lean | le_of_lt | [] | [
115,
46
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
114,
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Mathlib/MeasureTheory/Integral/SetToL1.lean | MeasureTheory.FinMeasAdditive.add | [
{
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Mathlib/MeasureTheory/Decomposition/Jordan.lean | MeasureTheory.SignedMeasure.toJordanDecomposition_smul_real | [
{
"state_after": "case pos\nα : Type u_1\nβ : Type ?u.79282\ninst✝ : MeasurableSpace α\ns : SignedMeasure α\nr : ℝ\nhr : 0 ≤ r\n⊢ toJordanDecomposition (r • s) = r • toJordanDecomposition s\n\ncase neg\nα : Type u_1\nβ : Type ?u.79282\ninst✝ : MeasurableSpace α\ns : SignedMeasure α\nr : ℝ\nhr : ¬0 ≤ r\n⊢ toJord... | [
490,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
478,
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Mathlib/Algebra/Order/Field/Basic.lean | div_lt_div_iff | [
{
"state_after": "no goals",
"state_before": "ι : Type ?u.67571\nα : Type u_1\nβ : Type ?u.67577\ninst✝ : LinearOrderedSemifield α\na b c d e : α\nm n : ℤ\nb0 : 0 < b\nd0 : 0 < d\n⊢ a / b < c / d ↔ a * d < c * b",
"tactic": "rw [lt_div_iff d0, div_mul_eq_mul_div, div_lt_iff b0]"
}
] | [
382,
56
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
381,
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Mathlib/CategoryTheory/EqToHom.lean | CategoryTheory.eqToIso_refl | [] | [
140,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
139,
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Mathlib/CategoryTheory/Bicategory/Basic.lean | CategoryTheory.Bicategory.triangle_assoc_comp_right | [
{
"state_after": "no goals",
"state_before": "B : Type u\ninst✝ : Bicategory B\na b c d e : B\nf : a ⟶ b\ng : b ⟶ c\n⊢ (α_ f (𝟙 b) g).inv ≫ (ρ_ f).hom ▷ g = f ◁ (λ_ g).hom",
"tactic": "rw [← triangle, inv_hom_id_assoc]"
}
] | [
328,
97
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
327,
1
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Mathlib/Data/Set/Basic.lean | Set.inter_diff_assoc | [] | [
1856,
18
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1855,
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Mathlib/SetTheory/ZFC/Basic.lean | PSet.Equiv.ext | [] | [
240,
28
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
231,
1
] |
Mathlib/Data/Real/CauSeq.lean | CauSeq.zero_apply | [] | [
264,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
263,
1
] |
Mathlib/Order/Basic.lean | not_lt_iff_eq_or_lt | [] | [
490,
78
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
489,
1
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Mathlib/CategoryTheory/Limits/Shapes/Images.lean | CategoryTheory.Limits.strongEpi_of_strongEpiMonoFactorisation | [
{
"state_after": "C : Type u\ninst✝ : Category C\nX Y : C\nf : X ⟶ Y\nF : StrongEpiMonoFactorisation f\nF' : MonoFactorisation f\nhF' : IsImage F'\n⊢ StrongEpi (F.e ≫ (IsImage.isoExt (StrongEpiMonoFactorisation.toMonoIsImage F) hF').hom)",
"state_before": "C : Type u\ninst✝ : Category C\nX Y : C\nf : X ⟶ Y\... | [
955,
23
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
951,
1
] |
Mathlib/MeasureTheory/Covering/Besicovitch.lean | Besicovitch.TauPackage.monotone_iUnionUpTo | [
{
"state_after": "α : Type u_1\ninst✝¹ : MetricSpace α\nβ : Type u\ninst✝ : Nonempty β\np : TauPackage β α\ni j : Ordinal\nhij : i ≤ j\n⊢ iUnionUpTo p i ≤ iUnionUpTo p j",
"state_before": "α : Type u_1\ninst✝¹ : MetricSpace α\nβ : Type u\ninst✝ : Nonempty β\np : TauPackage β α\n⊢ Monotone (iUnionUpTo p)",
... | [
267,
66
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
264,
1
] |
Mathlib/RingTheory/Adjoin/FG.lean | Subalgebra.FG.map | [
{
"state_after": "no goals",
"state_before": "R : Type u\nA : Type v\nB : Type w\ninst✝⁴ : CommSemiring R\ninst✝³ : Semiring A\ninst✝² : Algebra R A\ninst✝¹ : Semiring B\ninst✝ : Algebra R B\nS : Subalgebra R A\nf : A →ₐ[R] B\nhs✝ : FG S\ns : Finset A\nhs : Algebra.adjoin R ↑s = S\n⊢ Algebra.adjoin R ↑(Fins... | [
150,
66
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
148,
1
] |
Mathlib/Topology/MetricSpace/GromovHausdorffRealized.lean | GromovHausdorff.candidatesBOfCandidates_mem | [] | [
217,
5
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
215,
1
] |
Mathlib/Analysis/Calculus/DiffContOnCl.lean | DiffContOnCl.add_const | [] | [
98,
28
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
97,
1
] |
Mathlib/CategoryTheory/Limits/IsLimit.lean | CategoryTheory.Limits.IsLimit.OfNatIso.coneOfHom_fac | [
{
"state_after": "J : Type u₁\ninst✝² : Category J\nK : Type u₂\ninst✝¹ : Category K\nC : Type u₃\ninst✝ : Category C\nF : J ⥤ C\nt : Cone F\nX : C\nh : yoneda.obj X ⋙ uliftFunctor ≅ Functor.cones F\nY : C\nf : Y ⟶ X\n⊢ { pt := Y, π := h.hom.app Y.op { down := f } } = { pt := Y, π := (const J).map f ≫ h.hom.app... | [
516,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
509,
1
] |
Mathlib/Order/Filter/Prod.lean | Filter.le_prod_map_fst_snd | [] | [
364,
35
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
363,
1
] |
Mathlib/MeasureTheory/Measure/Complex.lean | MeasureTheory.SignedMeasure.re_toComplexMeasure | [] | [
82,
70
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
81,
1
] |
Mathlib/GroupTheory/MonoidLocalization.lean | Submonoid.LocalizationMap.lift_id | [] | [
1055,
57
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1054,
1
] |
Mathlib/Data/List/Basic.lean | List.take_add | [
{
"state_after": "case h.e'_2\nι : Type ?u.185033\nα : Type u\nβ : Type v\nγ : Type w\nδ : Type x\nl₁ l₂ l : List α\nm n : ℕ\n⊢ take (m + n) l = take (m + n) (take m l ++ drop m l)\n\nι : Type ?u.185033\nα : Type u\nβ : Type v\nγ : Type w\nδ : Type x\nl₁ l₂ l : List α\nm n : ℕ\n⊢ take (m + n) (take m l ++ drop ... | [
2067,
11
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2056,
1
] |
Mathlib/Logic/Equiv/LocalEquiv.lean | LocalEquiv.invOn | [] | [
248,
30
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
247,
11
] |
Mathlib/Data/List/Count.lean | List.count_cons_of_ne | [
{
"state_after": "α : Type u_1\nl✝ : List α\ninst✝ : DecidableEq α\na b : α\nh : a ≠ b\nl : List α\n⊢ a = b → False",
"state_before": "α : Type u_1\nl✝ : List α\ninst✝ : DecidableEq α\na b : α\nh : a ≠ b\nl : List α\n⊢ count a (b :: l) = count a l",
"tactic": "simp [count_cons']"
},
{
"state_aft... | [
198,
10
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
196,
1
] |
Mathlib/Analysis/Calculus/ContDiffDef.lean | HasFTaylorSeriesUpTo.hasFDerivAt | [
{
"state_after": "𝕜 : Type u\ninst✝⁸ : NontriviallyNormedField 𝕜\nE : Type uE\ninst✝⁷ : NormedAddCommGroup E\ninst✝⁶ : NormedSpace 𝕜 E\nF : Type uF\ninst✝⁵ : NormedAddCommGroup F\ninst✝⁴ : NormedSpace 𝕜 F\nG : Type uG\ninst✝³ : NormedAddCommGroup G\ninst✝² : NormedSpace 𝕜 G\nX : Type uX\ninst✝¹ : NormedAdd... | [
1290,
80
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1287,
1
] |
Mathlib/RingTheory/Subsemiring/Pointwise.lean | Subsemiring.pointwise_smul_le_pointwise_smul_iff | [] | [
123,
31
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
121,
1
] |
Mathlib/Analysis/SpecialFunctions/Trigonometric/Basic.lean | Complex.sin_int_mul_pi | [] | [
1173,
52
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1172,
1
] |
Mathlib/RingTheory/Int/Basic.lean | Int.associated_iff_natAbs | [
{
"state_after": "a b : ℤ\n⊢ Associated (natAbs a) (natAbs b) ↔ natAbs a = natAbs b",
"state_before": "a b : ℤ\n⊢ Associated a b ↔ natAbs a = natAbs b",
"tactic": "rw [← dvd_dvd_iff_associated, ← Int.natAbs_dvd_natAbs, ← Int.natAbs_dvd_natAbs,\n dvd_dvd_iff_associated]"
},
{
"state_after": "no ... | [
376,
26
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
373,
1
] |
Mathlib/LinearAlgebra/AffineSpace/Combination.lean | Finset.weightedVSubOfPoint_map | [
{
"state_after": "k : Type u_4\nV : Type u_3\nP : Type u_5\ninst✝² : Ring k\ninst✝¹ : AddCommGroup V\ninst✝ : Module k V\nS : AffineSpace V P\nι : Type u_2\ns : Finset ι\nι₂ : Type u_1\ns₂ : Finset ι₂\ne : ι₂ ↪ ι\nw : ι → k\np : ι → P\nb : P\n⊢ ∑ i in map e s₂, w i • (p i -ᵥ b) = ∑ i in s₂, (w ∘ ↑e) i • ((p ∘ ↑... | [
183,
29
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
180,
1
] |
Mathlib/Analysis/SpecialFunctions/Trigonometric/Basic.lean | Complex.tan_add_nat_mul_pi | [] | [
1327,
27
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1326,
1
] |
Mathlib/Algebra/IndicatorFunction.lean | Set.mulIndicator_image | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\nβ : Type u_2\nι : Type ?u.22119\nM : Type u_3\nN : Type ?u.22125\ninst✝¹ : One M\ninst✝ : One N\ns✝ t : Set α\nf✝ g✝ : α → M\na : α\ns : Set α\nf : β → M\ng : α → β\nhg : Injective g\nx : α\n⊢ mulIndicator (g '' s) f (g x) = mulIndicator s (f ∘ g) ... | [
270,
57
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
268,
1
] |
Mathlib/Algebra/IndicatorFunction.lean | Set.indicator_one_inj | [
{
"state_after": "case h\nα : Type u_1\nβ : Type ?u.150393\nι : Type ?u.150396\nM : Type u_2\nN : Type ?u.150402\ninst✝¹ : MulZeroOneClass M\ninst✝ : Nontrivial M\nU V : Set α\nh : indicator U 1 = indicator V 1\nx✝ : α\n⊢ x✝ ∈ U ↔ x✝ ∈ V",
"state_before": "α : Type u_1\nβ : Type ?u.150393\nι : Type ?u.15039... | [
743,
44
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
741,
1
] |
Mathlib/RingTheory/IntegralClosure.lean | isIntegral_tower_top_of_isIntegral | [
{
"state_after": "case intro.intro\nR : Type u_1\nA : Type u_3\nB : Type u_2\nS : Type ?u.1578175\nT : Type ?u.1578178\ninst✝⁸ : CommRing R\ninst✝⁷ : CommRing A\ninst✝⁶ : CommRing B\ninst✝⁵ : CommRing S\ninst✝⁴ : CommRing T\ninst✝³ : Algebra A B\ninst✝² : Algebra R B\nf : R →+* S\ng : S →+* T\ninst✝¹ : Algebra ... | [
1078,
12
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1074,
1
] |
Mathlib/Order/Filter/Bases.lean | Filter.isCountablyGenerated_bot | [] | [
1188,
56
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1187,
1
] |
Mathlib/LinearAlgebra/Orientation.lean | Orientation.map_eq_det_inv_smul | [] | [
365,
40
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
362,
1
] |
Mathlib/SetTheory/Ordinal/Topology.lean | Ordinal.mem_closure_iff_sup | [
{
"state_after": "no goals",
"state_before": "s : Set Ordinal\na : Ordinal\n⊢ (∃ ι, Nonempty ι ∧ ∃ f, (∀ (i : ι), f i ∈ s) ∧ sup f = a) ↔ ∃ ι x f, (∀ (i : ι), f i ∈ s) ∧ sup f = a",
"tactic": "simp only [exists_prop]"
}
] | [
132,
71
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
129,
1
] |
Mathlib/Probability/Integration.lean | ProbabilityTheory.IndepFun.integrable_left_of_integrable_mul | [
{
"state_after": "Ω : Type u_2\nmΩ : MeasurableSpace Ω\nμ : MeasureTheory.Measure Ω\nf g : Ω → ℝ≥0∞\nX✝ Y✝ : Ω → ℝ\nβ : Type u_1\ninst✝² : MeasurableSpace β\nX Y : Ω → β\ninst✝¹ : NormedDivisionRing β\ninst✝ : BorelSpace β\nhXY : IndepFun X Y\nh'XY : Integrable (X * Y)\nhX : AEStronglyMeasurable X μ\nhY : AEStr... | [
177,
37
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
160,
1
] |
Mathlib/Order/Bounded.lean | Set.unbounded_ge_of_forall_exists_gt | [] | [
62,
46
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
60,
1
] |
Mathlib/Order/LiminfLimsup.lean | Filter.isCobounded_ge_of_top | [] | [
239,
25
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
238,
1
] |
Mathlib/Topology/LocalExtr.lean | isLocalMin_const | [] | [
203,
20
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
202,
1
] |
Mathlib/RingTheory/HahnSeries.lean | HahnSeries.SummableFamily.sub_apply | [] | [
1563,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1562,
1
] |
Std/Classes/LawfulMonad.lean | SatisfiesM_StateRefT_eq | [
{
"state_after": "no goals",
"state_before": "m : Type → Type\nω σ α✝ : Type\np : α✝ → Prop\nx : StateRefT' ω σ m α✝\ninst✝ : Monad m\n⊢ SatisfiesM p x ↔ ∀ (s : ST.Ref ω σ), SatisfiesM p (x s)",
"tactic": "simp"
}
] | [
200,
80
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
199,
1
] |
Mathlib/Data/Multiset/Basic.lean | Multiset.map_lt_map | [
{
"state_after": "α : Type u_1\nβ : Type u_2\nγ : Type ?u.126138\nf : α → β\ns t : Multiset α\nh : s < t\nH : map f t ≤ map f s\n⊢ ↑card t ≤ ↑card s",
"state_before": "α : Type u_1\nβ : Type u_2\nγ : Type ?u.126138\nf : α → β\ns t : Multiset α\nh : s < t\n⊢ map f s < map f t",
"tactic": "refine' (map_le... | [
1316,
24
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1313,
1
] |
Mathlib/Data/Set/Image.lean | Set.image_comm | [
{
"state_after": "no goals",
"state_before": "α : Type u_4\nβ : Type u_3\nγ : Type u_2\nι : Sort ?u.27932\nι' : Sort ?u.27935\nf✝ : α → β\ns t : Set α\nβ' : Type u_1\nf : β → γ\ng : α → β\nf' : α → β'\ng' : β' → γ\nh_comm : ∀ (a : α), f (g a) = g' (f' a)\n⊢ f '' (g '' s) = g' '' (f' '' s)",
"tactic": "s... | [
285,
32
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
283,
1
] |
Mathlib/MeasureTheory/Measure/MeasureSpace.lean | Metric.Bounded.measure_lt_top | [] | [
3949,
95
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
3945,
1
] |
Mathlib/NumberTheory/LegendreSymbol/ZModChar.lean | ZMod.χ₈'_int_eq_χ₄_mul_χ₈ | [
{
"state_after": "a : ℤ\n⊢ ↑χ₈' ↑a = ↑χ₄ ↑↑a * ↑χ₈ ↑a",
"state_before": "a : ℤ\n⊢ ↑χ₈' ↑a = ↑χ₄ ↑a * ↑χ₈ ↑a",
"tactic": "rw [← @cast_int_cast 8 (ZMod 4) _ 4 _ (by norm_num) a]"
},
{
"state_after": "no goals",
"state_before": "a : ℤ\n⊢ ↑χ₈' ↑a = ↑χ₄ ↑↑a * ↑χ₈ ↑a",
"tactic": "exact χ₈'_eq_... | [
221,
27
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
219,
1
] |
Mathlib/Analysis/MeanInequalities.lean | NNReal.geom_mean_le_arith_mean3_weighted | [
{
"state_after": "no goals",
"state_before": "ι : Type u\ns : Finset ι\nw₁ w₂ w₃ p₁ p₂ p₃ : ℝ≥0\n⊢ w₁ + w₂ + w₃ = 1 → p₁ ^ ↑w₁ * p₂ ^ ↑w₂ * p₃ ^ ↑w₃ ≤ w₁ * p₁ + w₂ * p₂ + w₃ * p₃",
"tactic": "simpa only [Fin.prod_univ_succ, Fin.sum_univ_succ, Finset.prod_empty, Finset.sum_empty,\n Fintype.univ_of_isEmp... | [
204,
87
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
199,
1
] |
Mathlib/Data/List/AList.lean | AList.keys_empty | [] | [
127,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
126,
1
] |
Std/Data/List/Lemmas.lean | List.eq_or_ne_mem_of_mem | [] | [
82,
74
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
81,
1
] |
Mathlib/Data/Sum/Order.lean | WithTop.orderIsoSumLexPUnit_symm_inr | [] | [
795,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
793,
1
] |
Mathlib/Algebra/Ring/Equiv.lean | RingEquiv.toEquiv_eq_coe | [] | [
138,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
137,
1
] |
Mathlib/Topology/Algebra/Order/Compact.lean | IsCompact.exists_sInf_image_eq | [] | [
222,
15
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
219,
1
] |
Mathlib/RingTheory/DiscreteValuationRing/Basic.lean | DiscreteValuationRing.addVal_add | [] | [
479,
25
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
478,
1
] |
Mathlib/Data/Matrix/Block.lean | Matrix.blockDiagonal'_apply | [
{
"state_after": "case mk\nl : Type ?u.196229\nm : Type ?u.196232\nn : Type ?u.196235\no : Type u_4\np : Type ?u.196241\nq : Type ?u.196244\nm' : o → Type u_1\nn' : o → Type u_2\np' : o → Type ?u.196259\nR : Type ?u.196262\nS : Type ?u.196265\nα : Type u_3\nβ : Type ?u.196271\ninst✝² : DecidableEq o\ninst✝¹ : Z... | [
654,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
649,
1
] |
Mathlib/GroupTheory/Complement.lean | Subgroup.MemLeftTransversals.inv_toFun_mul_mem | [] | [
375,
72
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
373,
1
] |
Mathlib/Algebra/Lie/Basic.lean | LieEquiv.to_linearEquiv_mk | [] | [
566,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
560,
1
] |
Mathlib/Order/Filter/Basic.lean | Filter.map_comap | [
{
"state_after": "α : Type u\nβ : Type v\nγ : Type w\nδ : Type ?u.256455\nι : Sort x\nf✝ f₁ f₂ : Filter α\ng g₁ g₂ : Filter β\nm✝ : α → β\nm' : β → γ\ns : Set α\nt : Set β\nf : Filter β\nm : α → β\n⊢ f ⊓ 𝓟 (range m) ≤ map m (comap m f)",
"state_before": "α : Type u\nβ : Type v\nγ : Type w\nδ : Type ?u.2564... | [
2252,
16
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2247,
1
] |
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