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Mathlib/Topology/Algebra/Module/Basic.lean | ContinuousLinearMap.prod_apply | [] | [
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Mathlib/Data/Stream/Init.lean | Stream'.cycle_singleton | [
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Mathlib/Algebra/Star/Subalgebra.lean | StarSubalgebra.coe_inf | [] | [
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Mathlib/Topology/Algebra/InfiniteSum/Basic.lean | Summable.tendsto_atTop_zero | [
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Mathlib/Algebra/Order/Field/Basic.lean | div_two_sub_self | [
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Mathlib/Algebra/Hom/Group.lean | MonoidHom.coe_of_map_div | [] | [
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Mathlib/Logic/Basic.lean | dite_eq_ite | [] | [
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Mathlib/Data/List/Basic.lean | List.replicate_right_inj' | [
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Mathlib/Order/LiminfLimsup.lean | Filter.IsBounded.isCobounded_flip | [] | [
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Mathlib/Algebra/GCDMonoid/Basic.lean | gcd_comm' | [] | [
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Mathlib/MeasureTheory/Measure/VectorMeasure.lean | MeasureTheory.VectorMeasure.neg_le_neg_iff | [] | [
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Mathlib/Data/Matrix/Basis.lean | Matrix.StdBasisMatrix.mul_right_apply_same | [
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Mathlib/Data/List/Chain.lean | List.chain_split | [
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Mathlib/MeasureTheory/Integral/SetToL1.lean | MeasureTheory.SimpleFunc.setToSimpleFunc_const' | [
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Mathlib/LinearAlgebra/Alternating.lean | AlternatingMap.coe_inj | [] | [
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Mathlib/RingTheory/Coprime/Basic.lean | isCoprime_mul_unit_left_right | [] | [
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Mathlib/Algebra/Order/Field/Basic.lean | div_le_div_iff | [
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Mathlib/MeasureTheory/MeasurableSpace.lean | Measurable.subtype_map | [] | [
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Mathlib/RingTheory/Finiteness.lean | Submodule.fg_pi | [
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Mathlib/Analysis/Asymptotics/Asymptotics.lean | Asymptotics.IsBigO.congr_of_sub | [] | [
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Mathlib/GroupTheory/SemidirectProduct.lean | SemidirectProduct.range_inl_eq_ker_rightHom | [
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Mathlib/LinearAlgebra/StdBasis.lean | LinearMap.stdBasis_apply' | [
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Mathlib/Data/Set/NAry.lean | Set.image_image2_distrib_right | [
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Mathlib/Algebra/GroupWithZero/Basic.lean | right_ne_zero_of_mul | [] | [
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Std/Data/Int/DivMod.lean | Int.add_mul_emod_self | [
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Mathlib/Data/Real/ENNReal.lean | ENNReal.iInf_mul | [
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Mathlib/Analysis/Convex/Join.lean | subset_convexJoin_right | [] | [
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Mathlib/CategoryTheory/DiscreteCategory.lean | CategoryTheory.Discrete.mk_as | [
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Mathlib/MeasureTheory/Function/LpSpace.lean | MeasureTheory.Lp.nnnorm_eq_zero_iff | [
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Mathlib/Data/Polynomial/Basic.lean | Polynomial.C_eq_int_cast | [
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Mathlib/Topology/Algebra/Module/Multilinear.lean | ContinuousMultilinearMap.map_coord_zero | [] | [
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Mathlib/Data/Set/Function.lean | Disjoint.image | [
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Mathlib/SetTheory/Cardinal/Continuum.lean | Cardinal.continuum_mul_nat | [] | [
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Mathlib/Combinatorics/SimpleGraph/Basic.lean | SimpleGraph.incidenceSet_subset | [] | [
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Mathlib/MeasureTheory/Integral/Bochner.lean | MeasureTheory.L1.integral_eq_norm_posPart_sub | [
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Mathlib/Topology/Algebra/Order/IntermediateValue.lean | ContinuousOn.surjOn_of_tendsto | [] | [
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Mathlib/MeasureTheory/Integral/Lebesgue.lean | MeasureTheory.tendsto_lintegral_of_dominated_convergence | [] | [
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Mathlib/Data/Polynomial/AlgebraMap.lean | Polynomial.dvd_term_of_dvd_eval_of_dvd_terms | [
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Mathlib/Order/Disjoint.lean | Disjoint.inf_left | [] | [
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Mathlib/Data/Option/Basic.lean | Option.pmap_bind | [
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Mathlib/RingTheory/NonUnitalSubsemiring/Basic.lean | NonUnitalSubsemiring.centralizer_toSubsemigroup | [] | [
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Mathlib/RingTheory/FractionalIdeal.lean | FractionalIdeal.one_mem_one | [] | [
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Mathlib/Algebra/Hom/GroupAction.lean | MulActionHom.id_apply | [] | [
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Mathlib/Analysis/InnerProductSpace/Projection.lean | inner_orthogonalProjection_eq_of_mem_right | [
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Std/Logic.lean | and_right_comm | [
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Mathlib/Topology/Algebra/Group/Basic.lean | Inducing.topologicalGroup | [] | [
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Mathlib/SetTheory/Cardinal/Finite.lean | Nat.card_eq_zero_of_infinite | [] | [
49,
23
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
48,
1
] |
Mathlib/MeasureTheory/Constructions/BorelSpace/ContinuousLinearMap.lean | ContinuousLinearMap.measurable_apply' | [] | [
68,
47
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
66,
1
] |
Mathlib/GroupTheory/OrderOfElement.lean | powCoprime_one | [] | [
986,
12
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
985,
1
] |
Mathlib/MeasureTheory/Group/FundamentalDomain.lean | MeasureTheory.mem_fundamentalInterior | [
{
"state_after": "no goals",
"state_before": "G : Type u_2\nH : Type ?u.475255\nα : Type u_1\nβ : Type ?u.475261\nE : Type ?u.475264\ninst✝¹ : Group G\ninst✝ : MulAction G α\ns : Set α\nx : α\n⊢ x ∈ fundamentalInterior G s ↔ x ∈ s ∧ ∀ (g : G), g ≠ 1 → ¬x ∈ g • s",
"tactic": "simp [fundamentalInterior]"
... | [
564,
29
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
562,
1
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Mathlib/Algebra/Homology/Homotopy.lean | Homotopy.nullHomotopicMap_f_eq_zero | [
{
"state_after": "ι : Type u_1\nV : Type u\ninst✝¹ : Category V\ninst✝ : Preadditive V\nc : ComplexShape ι\nC D E : HomologicalComplex V c\nf g : C ⟶ D\nh k : D ⟶ E\ni k₀ : ι\nhk₀ : ∀ (l : ι), ¬ComplexShape.Rel c k₀ l\nhk₀' : ∀ (l : ι), ¬ComplexShape.Rel c l k₀\nhom : (i j : ι) → X C i ⟶ X D j\n⊢ d C k₀ (Comple... | [
431,
77
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
427,
1
] |
Mathlib/Analysis/Normed/Group/Seminorm.lean | GroupSeminorm.zero_comp | [] | [
361,
19
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
360,
1
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Mathlib/CategoryTheory/Limits/Types.lean | CategoryTheory.Limits.Types.Colimit.w_apply | [] | [
310,
30
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
308,
1
] |
Mathlib/RingTheory/PowerSeries/Basic.lean | PowerSeries.sub_const_eq_shift_mul_X | [] | [
1939,
53
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1937,
1
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Mathlib/Init/Data/Nat/Bitwise.lean | Nat.bitwise'_zero_left | [
{
"state_after": "f : Bool → Bool → Bool\nn : ℕ\n⊢ binaryRec (fun n => bif f false true then n else 0)\n (fun a m Ia => binaryRec (bif f true false then bit a m else 0) fun b n x => bit (f a b) (Ia n)) 0 n =\n bif f false true then n else 0",
"state_before": "f : Bool → Bool → Bool\nn : ℕ\n⊢ bitwise... | [
410,
39
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
408,
1
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Mathlib/Topology/Semicontinuous.lean | UpperSemicontinuous.isOpen_preimage | [] | [
791,
49
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
789,
1
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Mathlib/Order/Hom/Basic.lean | OrderEmbedding.acc | [] | [
673,
22
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
672,
11
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Mathlib/Algebra/Module/Submodule/Lattice.lean | AddSubmonoid.coe_toNatSubmodule | [] | [
364,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
362,
1
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Mathlib/Data/Finset/Basic.lean | Finset.union_inter_cancel_left | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\nβ : Type ?u.180294\nγ : Type ?u.180297\ninst✝ : DecidableEq α\ns✝ s₁ s₂ t✝ t₁ t₂ u v : Finset α\na b : α\ns t : Finset α\n⊢ (s ∪ t) ∩ s = s",
"tactic": "rw [← coe_inj, coe_inter, coe_union, Set.union_inter_cancel_left]"
}
] | [
1603,
68
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1602,
1
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Mathlib/Order/SymmDiff.lean | IsCompl.bihimp_eq_bot | [
{
"state_after": "no goals",
"state_before": "ι : Type ?u.59002\nα : Type u_1\nβ : Type ?u.59008\nπ : ι → Type ?u.59013\ninst✝ : HeytingAlgebra α\na✝ a b : α\nh : IsCompl a b\n⊢ a ⇔ b = ⊥",
"tactic": "rw [h.eq_compl, compl_bihimp_self]"
}
] | [
387,
37
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
386,
1
] |
Mathlib/MeasureTheory/Measure/ProbabilityMeasure.lean | MeasureTheory.FiniteMeasure.self_eq_mass_smul_normalize | [
{
"state_after": "case h\nΩ : Type u_1\ninst✝ : Nonempty Ω\nm0 : MeasurableSpace Ω\nμ : FiniteMeasure Ω\n⊢ ∀ (s : Set Ω),\n MeasurableSet s →\n (fun s => ENNReal.toNNReal (↑↑↑μ s)) s =\n (fun s => ENNReal.toNNReal (↑↑↑(mass μ • ProbabilityMeasure.toFiniteMeasure (normalize μ)) s)) s",
"state_... | [
353,
60
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
349,
1
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Mathlib/Analysis/Convex/Cone/Basic.lean | ConvexCone.to_orderedSMul | [
{
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"state_before": "𝕜 : ... | [
327,
46
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
322,
1
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Mathlib/Algebra/Quaternion.lean | Quaternion.coe_nat_cast | [] | [
997,
60
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
997,
1
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Mathlib/Data/Finset/Card.lean | Finset.injOn_of_card_image_eq | [
{
"state_after": "α : Type u_2\nβ : Type u_1\ns t : Finset α\nf : α → β\nn : ℕ\ninst✝ : DecidableEq β\nH :\n ↑Multiset.card { val := dedup (Multiset.map f s.val), nodup := (_ : Nodup (dedup (Multiset.map f s.val))) }.val =\n ↑Multiset.card s.val\n⊢ Set.InjOn f ↑s",
"state_before": "α : Type u_2\nβ : Typ... | [
234,
33
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
227,
1
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Mathlib/Analysis/NormedSpace/Dual.lean | NormedSpace.bounded_polar_of_mem_nhds_zero | [
{
"state_after": "case intro\n𝕜 : Type u_2\ninst✝² : NontriviallyNormedField 𝕜\nE : Type u_1\ninst✝¹ : SeminormedAddCommGroup E\ninst✝ : NormedSpace 𝕜 E\ns : Set E\ns_nhd : s ∈ 𝓝 0\na : 𝕜\nha : 1 < ‖a‖\n⊢ Metric.Bounded (polar 𝕜 s)",
"state_before": "𝕜 : Type u_2\ninst✝² : NontriviallyNormedField 𝕜\... | [
286,
51
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
279,
1
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Mathlib/Order/SymmDiff.lean | Codisjoint.bihimp_inf_bihimp_le_left | [] | [
807,
39
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
806,
1
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Mathlib/Order/WellFounded.lean | WellFounded.min_le | [] | [
142,
34
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
141,
1
] |
Mathlib/GroupTheory/OrderOfElement.lean | orderOf_eq_card_powers | [] | [
791,
83
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
789,
1
] |
Mathlib/CategoryTheory/Closed/Monoidal.lean | CategoryTheory.MonoidalClosed.uncurry_pre | [
{
"state_after": "no goals",
"state_before": "C : Type u\ninst✝³ : Category C\ninst✝² : MonoidalCategory C\nA B X✝ X' Y Y' Z : C\ninst✝¹ : Closed A\ninst✝ : Closed B\nf : B ⟶ A\nX : C\n⊢ uncurry ((pre f).app X) = (f ⊗ 𝟙 ((ihom A).obj X)) ≫ (ihom.ev A).app X",
"tactic": "rw [uncurry_eq, id_tensor_pre_ap... | [
265,
45
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
263,
1
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Mathlib/CategoryTheory/Limits/Types.lean | CategoryTheory.Limits.Types.limit_ext' | [] | [
171,
27
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
169,
1
] |
Mathlib/Analysis/SpecialFunctions/Pow/Deriv.lean | HasFDerivWithinAt.const_rpow | [] | [
488,
80
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
486,
1
] |
src/lean/Init/SimpLemmas.lean | ne_eq | [] | [
76,
60
] | d5348dfac847a56a4595fb6230fd0708dcb4e7e9 | https://github.com/leanprover/lean4 | [
76,
9
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Mathlib/MeasureTheory/Measure/MeasureSpace.lean | MeasureTheory.sigmaFinite_bot_iff | [
{
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3816,
40
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
3796,
1
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Mathlib/Algebra/Module/Torsion.lean | Module.isTorsionBy_iff_torsionBy_eq_top | [
{
"state_after": "no goals",
"state_before": "R : Type u_1\nM : Type u_2\ninst✝² : CommSemiring R\ninst✝¹ : AddCommMonoid M\ninst✝ : Module R M\ns : Set R\na : R\n⊢ IsTorsionBy R M a ↔ torsionBy R M a = ⊤",
"tactic": "rw [← torsionBySet_singleton_eq, ← isTorsionBySet_singleton_iff,\n isTorsionBySet_iff... | [
338,
44
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
336,
1
] |
Mathlib/Data/Rat/Lemmas.lean | Rat.den_div_cast_eq_one_iff | [
{
"state_after": "case hn\nm n : ℤ\nhn : n ≠ 0\n⊢ ↑n ≠ 0\n\nm n : ℤ\nhn : ↑n ≠ 0\n⊢ (↑m / ↑n).den = 1 ↔ n ∣ m",
"state_before": "m n : ℤ\nhn : n ≠ 0\n⊢ (↑m / ↑n).den = 1 ↔ n ∣ m",
"tactic": "replace hn : (n : ℚ) ≠ 0"
},
{
"state_after": "case mp\nm n : ℤ\nhn : ↑n ≠ 0\n⊢ (↑m / ↑n).den = 1 → n ∣ m... | [
208,
70
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
197,
1
] |
Mathlib/Data/Finset/LocallyFinite.lean | Finset.map_add_right_Ioo | [
{
"state_after": "ι : Type ?u.229555\nα : Type u_1\ninst✝² : OrderedCancelAddCommMonoid α\ninst✝¹ : ExistsAddOfLE α\ninst✝ : LocallyFiniteOrder α\na b c : α\n⊢ ↑(addRightEmbedding c) '' Set.Ioo a b = Set.Ioo (a + c) (b + c)",
"state_before": "ι : Type ?u.229555\nα : Type u_1\ninst✝² : OrderedCancelAddCommMo... | [
1093,
38
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1090,
1
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Mathlib/Data/Finsupp/Basic.lean | Finsupp.sum_update_add | [
{
"state_after": "α : Type u_1\nβ : Type u_2\nγ : Type ?u.285219\nι : Type u_3\nM : Type ?u.285225\nM' : Type ?u.285228\nN : Type ?u.285231\nP : Type ?u.285234\nG : Type ?u.285237\nH : Type ?u.285240\nR : Type ?u.285243\nS : Type ?u.285246\ninst✝² : AddCommMonoid M\nv v₁ v₂ : α →₀ M\ninst✝¹ : AddCommMonoid α\ni... | [
662,
66
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
654,
1
] |
Std/Data/List/Lemmas.lean | List.find?_cons_of_pos | [
{
"state_after": "no goals",
"state_before": "α✝ : Type u_1\np : α✝ → Bool\na : α✝\nl : List α✝\nh : p a = true\n⊢ find? p (a :: l) = some a",
"tactic": "simp [find?, h]"
}
] | [
1254,
21
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
1253,
1
] |
Mathlib/LinearAlgebra/BilinearForm.lean | BilinForm.le_orthogonal_orthogonal | [] | [
1203,
35
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1202,
1
] |
Mathlib/Analysis/InnerProductSpace/PiL2.lean | EuclideanSpace.inner_eq_star_dotProduct | [] | [
173,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
171,
1
] |
Mathlib/Data/Matrix/Basic.lean | Matrix.mulVec_vecMul | [
{
"state_after": "no goals",
"state_before": "l : Type ?u.917788\nm : Type u_3\nn : Type u_1\no : Type u_2\nm' : o → Type ?u.917802\nn' : o → Type ?u.917807\nR : Type ?u.917810\nS : Type ?u.917813\nα : Type v\nβ : Type w\nγ : Type ?u.917820\ninst✝² : NonUnitalCommSemiring α\ninst✝¹ : Fintype n\ninst✝ : Fint... | [
1941,
91
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1940,
1
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Mathlib/Data/PNat/Defs.lean | Nat.natPred_succPNat | [] | [
92,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
91,
1
] |
Mathlib/Order/Filter/Basic.lean | Function.Surjective.filter_map_top | [] | [
2279,
69
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2278,
1
] |
Mathlib/Analysis/InnerProductSpace/Calculus.lean | DifferentiableOn.dist | [] | [
287,
40
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
285,
1
] |
Mathlib/MeasureTheory/Measure/Regular.lean | MeasurableSet.exists_isCompact_lt_add | [] | [
503,
88
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
501,
1
] |
Mathlib/Combinatorics/SetFamily/Compression/UV.lean | UV.compression_self | [
{
"state_after": "α : Type u_1\ninst✝² : GeneralizedBooleanAlgebra α\ninst✝¹ : DecidableRel Disjoint\ninst✝ : DecidableRel fun x x_1 => x ≤ x_1\ns✝ : Finset α\nu✝ v a b u : α\ns : Finset α\n⊢ filter (fun a => compress u u a ∈ s) s ∪ filter (fun a => ¬a ∈ s) (image (compress u u) s) = s",
"state_before": "α ... | [
145,
17
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
137,
1
] |
Mathlib/ModelTheory/Definability.lean | Set.definable_iff_empty_definable_with_params | [] | [
70,
27
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
68,
1
] |
Mathlib/Algebra/BigOperators/Fin.lean | Fin.prod_univ_succAbove | [
{
"state_after": "no goals",
"state_before": "α : Type ?u.4109\nβ : Type u_1\ninst✝ : CommMonoid β\nn : ℕ\nf : Fin (n + 1) → β\nx : Fin (n + 1)\n⊢ ∏ i : Fin (n + 1), f i = f x * ∏ i : Fin n, f (↑(succAbove x) i)",
"tactic": "rw [univ_succAbove, prod_cons, Finset.prod_map _ x.succAbove.toEmbedding,\n Re... | [
75,
34
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
72,
1
] |
Mathlib/Algebra/Order/Nonneg/Ring.lean | Nonneg.mk_sub_mk | [] | [
392,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
390,
1
] |
Mathlib/Data/Set/Basic.lean | Set.compl_subset_iff_union | [] | [
1771,
85
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1770,
1
] |
Mathlib/Algebra/Star/SelfAdjoint.lean | isSelfAdjoint_ratCast | [] | [
248,
17
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
247,
1
] |
Mathlib/Combinatorics/SetFamily/Shadow.lean | Finset.exists_subset_of_mem_upShadow | [] | [
251,
15
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
249,
1
] |
Mathlib/Algebra/Order/Monoid/Lemmas.lean | Left.mul_lt_one' | [] | [
646,
32
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
644,
1
] |
Mathlib/MeasureTheory/Function/L1Space.lean | MeasureTheory.Integrable.smul_measure | [
{
"state_after": "α : Type u_2\nβ : Type u_1\nγ : Type ?u.846855\nδ : Type ?u.846858\nm : MeasurableSpace α\nμ ν : Measure α\ninst✝² : MeasurableSpace δ\ninst✝¹ : NormedAddCommGroup β\ninst✝ : NormedAddCommGroup γ\nf : α → β\nh : Memℒp f 1\nc : ℝ≥0∞\nhc : c ≠ ⊤\n⊢ Memℒp f 1",
"state_before": "α : Type u_2\n... | [
566,
26
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
563,
1
] |
Mathlib/Data/Set/Basic.lean | Set.insert_diff_self_of_not_mem | [
{
"state_after": "case h\nα : Type u\nβ : Type v\nγ : Type w\nι : Sort x\na✝ b : α\ns✝ s₁ s₂ t t₁ t₂ u : Set α\na : α\ns : Set α\nh : ¬a ∈ s\nx : α\n⊢ x ∈ insert a s \\ {a} ↔ x ∈ s",
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1990,
88
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1988,
1
] |
Mathlib/Topology/ContinuousOn.lean | mem_nhdsWithin_iff_eventually | [] | [
123,
27
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
121,
1
] |
Mathlib/MeasureTheory/Function/StronglyMeasurable/Basic.lean | MeasureTheory.StronglyMeasurable.ennnorm | [] | [
834,
72
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
832,
11
] |
Mathlib/Analysis/SpecialFunctions/Complex/LogDeriv.lean | HasStrictFDerivAt.clog | [] | [
84,
56
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
82,
1
] |
Std/Data/String/Lemmas.lean | Substring.ValidFor.toString | [
{
"state_after": "no goals",
"state_before": "l m r : List Char\n⊢ Substring.toString\n { str := { data := l ++ m ++ r }, startPos := { byteIdx := utf8Len l },\n stopPos := { byteIdx := utf8Len l + utf8Len m } } =\n { data := m }",
"tactic": "simpa [Substring.toString] using extract_of_va... | [
819,
72
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
818,
1
] |
Mathlib/CategoryTheory/Conj.lean | CategoryTheory.Iso.conjAut_trans | [] | [
156,
20
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
155,
1
] |
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