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Mathlib/Analysis/Normed/Field/Basic.lean | Units.norm_pos | [] | [
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Mathlib/CategoryTheory/Opposites.lean | CategoryTheory.NatTrans.rightOp_id | [] | [
435,
6
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Mathlib/Order/Filter/CountableInter.lean | eventually_countable_ball | [
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Mathlib/Order/Filter/Basic.lean | Filter.map_inf_le | [] | [
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Mathlib/Algebra/BigOperators/Finprod.lean | finprod_mem_inter_mulSupport_eq | [
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Mathlib/CategoryTheory/Limits/Constructions/Filtered.lean | CategoryTheory.Limits.hasProducts_of_finite_and_cofiltered | [] | [
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Mathlib/Algebra/Associated.lean | Associated.dvd | [] | [
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Mathlib/Topology/VectorBundle/Basic.lean | Trivialization.coe_coordChangeL' | [] | [
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Mathlib/Order/OrdContinuous.lean | RightOrdContinuous.orderDual | [] | [
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Mathlib/MeasureTheory/Measure/OuterMeasure.lean | MeasureTheory.OuterMeasure.le_ofFunction | [] | [
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Mathlib/Topology/LocalExtr.lean | IsLocalMax.sub | [] | [
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Mathlib/GroupTheory/Submonoid/Pointwise.lean | Submonoid.inv_le | [] | [
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Mathlib/Topology/ContinuousOn.lean | ContinuousOn.if' | [
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Mathlib/Algebra/Group/Conj.lean | isConj_one_right | [
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Mathlib/CategoryTheory/Limits/IsLimit.lean | CategoryTheory.Limits.IsColimit.comp_coconePointUniqueUpToIso_hom | [] | [
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Mathlib/CategoryTheory/Limits/FunctorCategory.lean | CategoryTheory.Limits.colimit_obj_ext | [
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Mathlib/Analysis/Convex/Between.lean | wbtw_comm | [
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Mathlib/Data/Sym/Basic.lean | Sym.cons_of_coe_eq | [
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Mathlib/Analysis/SpecificLimits/Basic.lean | Nat.tendsto_pow_atTop_atTop_of_one_lt | [] | [
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Mathlib/Topology/Semicontinuous.lean | lowerSemicontinuousWithinAt_sum | [
{
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Mathlib/Order/Heyting/Basic.lean | sdiff_idem | [
{
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Std/Logic.lean | heq_iff_eq | [] | [
661,
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661,
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Mathlib/Data/Polynomial/Monomial.lean | Polynomial.card_support_le_one_iff_monomial | [
{
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Mathlib/Data/Set/Function.lean | Set.LeftInvOn.rightInvOn_image | [] | [
1113,
57
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1112,
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Mathlib/Data/Real/ENNReal.lean | ENNReal.orderIsoIicOneBirational_symm_apply | [] | [
1786,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1784,
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Mathlib/MeasureTheory/Constructions/Prod/Integral.lean | MeasureTheory.StronglyMeasurable.integral_prod_left' | [] | [
145,
60
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
143,
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Mathlib/CategoryTheory/Monoidal/Free/Coherence.lean | CategoryTheory.FreeMonoidalCategory.normalizeIsoApp_tensor | [] | [
202,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
199,
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Mathlib/Analysis/NormedSpace/IsROrC.lean | LinearMap.bound_of_ball_bound' | [] | [
85,
60
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Data/Seq/WSeq.lean | Stream'.WSeq.destruct_dropn | [
{
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Mathlib/Data/Real/Hyperreal.lean | Hyperreal.st_inv | [
{
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{
"state_after": "case neg\nx : ℝ*\nh0 : ¬x = 0\n⊢ st x⁻¹ = (st x)⁻¹",
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Mathlib/Combinatorics/SimpleGraph/Subgraph.lean | SimpleGraph.edgeSet_subgraphOfAdj | [
{
"state_after": "case h\nι : Sort ?u.217461\nV : Type u\nW : Type v\nG : SimpleGraph V\nG' : SimpleGraph W\nv w : V\nhvw : Adj G v w\ne : Sym2 V\n⊢ e ∈ Subgraph.edgeSet (subgraphOfAdj G hvw) ↔ e ∈ {Quotient.mk (Sym2.Rel.setoid V) (v, w)}",
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Mathlib/MeasureTheory/Function/LocallyIntegrable.lean | AntioneOn.integrableOn_isCompact | [] | [
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56
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352,
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Mathlib/CategoryTheory/Preadditive/Schur.lean | CategoryTheory.isIso_of_hom_simple | [] | [
50,
29
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Analysis/Normed/Group/Basic.lean | Isometry.norm_map_of_map_one | [
{
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Mathlib/Order/Filter/Cofinite.lean | Function.Injective.nat_tendsto_atTop | [] | [
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Std/Data/Option/Basic.lean | Option.mem_def | [] | [
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Mathlib/Control/Functor/Multivariate.lean | MvFunctor.LiftR_def | [
{
"state_after": "n : ℕ\nα β γ : TypeVec n\nF : TypeVec n → Type v\ninst✝¹ : MvFunctor F\nP : α ⟹ TypeVec.repeat n Prop\nR : α ⊗ α ⟹ TypeVec.repeat n Prop\ninst✝ : LawfulMvFunctor F\nx y : F α\n⊢ ∀ (u : F fun i => { p // (fun i x y => ofRepeat (R i (prod.mk i x y))) i p.fst p.snd }),\n (fun i t => (↑t).fst) ... | [
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Mathlib/Topology/Algebra/Module/Basic.lean | ContinuousLinearMap.coe_mul | [] | [
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Mathlib/Order/CompleteLattice.lean | sInf_pair | [] | [
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Mathlib/Topology/Order/Basic.lean | Antitone.map_sSup_of_continuousAt' | [] | [
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2707,
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Mathlib/Algebra/Order/Ring/Lemmas.lean | Left.lt_mul_of_lt_of_one_le_of_nonneg | [] | [
793,
51
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Algebra/Star/Free.lean | FreeMonoid.star_of | [] | [
36,
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35,
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Mathlib/Algebra/BigOperators/Order.lean | WithTop.sum_eq_top_iff | [
{
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Mathlib/MeasureTheory/Integral/Bochner.lean | MeasureTheory.integral_nonneg | [] | [
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Mathlib/Topology/MetricSpace/EMetricSpace.lean | EMetric.tendsto_nhdsWithin_nhds | [
{
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Mathlib/Algebra/Group/Basic.lean | eq_inv_of_mul_eq_one_left | [] | [
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Mathlib/LinearAlgebra/AffineSpace/AffineEquiv.lean | AffineEquiv.pointReflection_self | [] | [
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Mathlib/CategoryTheory/Sites/Subsheaf.lean | CategoryTheory.GrothendieckTopology.Subpresheaf.sheafify_sheafify | [] | [
275,
71
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Mathlib/Data/Real/CauSeq.lean | CauSeq.one_not_equiv_zero | [
{
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Mathlib/Data/Nat/Order/Lemmas.lean | Nat.mul_div_lt_iff_not_dvd | [] | [
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Mathlib/Topology/PartitionOfUnity.lean | PartitionOfUnity.locallyFinite_tsupport | [] | [
148,
26
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147,
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Mathlib/MeasureTheory/Integral/SetIntegral.lean | integral_ofReal | [] | [
1153,
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Mathlib/Data/Dfinsupp/Interval.lean | Dfinsupp.mem_singleton_apply_iff | [] | [
96,
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Mathlib/Order/Hom/Basic.lean | OrderEmbedding.ltEmbedding_apply | [] | [
647,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
646,
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Mathlib/CategoryTheory/Limits/Shapes/ZeroMorphisms.lean | CategoryTheory.Limits.HasZeroObject.zeroIsoIsInitial_hom | [
{
"state_after": "no goals",
"state_before": "C : Type u\ninst✝³ : Category C\nD : Type u'\ninst✝² : Category D\ninst✝¹ : HasZeroObject C\ninst✝ : HasZeroMorphisms C\nX : C\nt : IsInitial X\n⊢ (zeroIsoIsInitial t).hom = 0",
"tactic": "ext"
}
] | [
304,
96
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
304,
1
] |
Mathlib/Topology/SubsetProperties.lean | Set.Subsingleton.isPreirreducible | [] | [
1707,
80
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1706,
1
] |
Mathlib/Order/Bounds/Basic.lean | isGLB_Ioi | [] | [
598,
23
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
597,
1
] |
Mathlib/Data/PFun.lean | PFun.dom_prodLift | [] | [
640,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
638,
1
] |
Mathlib/Algebra/Group/Basic.lean | mul_comm_div | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\nβ : Type ?u.40920\nG : Type ?u.40923\ninst✝ : DivisionCommMonoid α\na b c d : α\n⊢ a / b * c = a * (c / b)",
"tactic": "simp"
}
] | [
570,
58
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
570,
1
] |
Mathlib/Data/Polynomial/Reverse.lean | Polynomial.reflect_mul_induction | [
{
"state_after": "case zero\nR : Type u_1\ninst✝ : Semiring R\nf : R[X]\ncg : ℕ\n⊢ ∀ (N O : ℕ) (f g : R[X]),\n card (support f) ≤ Nat.succ Nat.zero →\n card (support g) ≤ Nat.succ cg →\n natDegree f ≤ N → natDegree g ≤ O → reflect (N + O) (f * g) = reflect N f * reflect O g\n\ncase succ\nR : Type... | [
207,
51
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
172,
1
] |
Mathlib/LinearAlgebra/AffineSpace/AffineMap.lean | AffineMap.homothety_one | [
{
"state_after": "case h\nR : Type ?u.804324\nk : Type u_3\nV1 : Type u_1\nP1 : Type u_2\nV2 : Type ?u.804336\ninst✝⁵ : CommRing k\ninst✝⁴ : AddCommGroup V1\ninst✝³ : AffineSpace V1 P1\ninst✝² : AddCommGroup V2\ninst✝¹ : Module k V1\ninst✝ : Module k V2\nc p : P1\n⊢ ↑(homothety c 1) p = ↑(id k P1) p",
"stat... | [
807,
25
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
805,
1
] |
Mathlib/SetTheory/Cardinal/Basic.lean | Cardinal.lift_mk_le | [] | [
306,
59
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
303,
1
] |
Mathlib/CategoryTheory/Monoidal/OfHasFiniteProducts.lean | CategoryTheory.monoidalOfHasFiniteProducts.associator_hom | [] | [
129,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
125,
1
] |
Mathlib/CategoryTheory/Limits/Shapes/Biproducts.lean | CategoryTheory.Limits.biprod.inr_snd | [] | [
1347,
39
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1345,
1
] |
Mathlib/Data/Fin/Tuple/Sort.lean | Tuple.sort_eq_refl_iff_monotone | [
{
"state_after": "n : ℕ\nα : Type u_1\ninst✝ : LinearOrder α\nf : Fin n → α\nσ : Equiv.Perm (Fin n)\n⊢ (Monotone f ∧ ∀ (i j : Fin n), i < j → f (id i) = f (id j) → id i < id j) ↔ Monotone f",
"state_before": "n : ℕ\nα : Type u_1\ninst✝ : LinearOrder α\nf : Fin n → α\nσ : Equiv.Perm (Fin n)\n⊢ sort f = Equiv... | [
158,
31
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
155,
1
] |
Mathlib/Order/Cover.lean | Covby.wcovby | [] | [
285,
14
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
284,
11
] |
Mathlib/LinearAlgebra/BilinearForm.lean | BilinForm.IsRefl.smul | [] | [
876,
41
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
873,
11
] |
Std/Data/List/Lemmas.lean | List.length_zipWith | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\nβ : Type u_2\nγ : Type u_3\nf : α → β → γ\nl₁ : List α\nl₂ : List β\n⊢ length (zipWith f l₁ l₂) = min (length l₁) (length l₂)",
"tactic": "induction l₁ generalizing l₂ <;> cases l₂ <;>\n simp_all [add_one, min_succ_succ, Nat.zero_min, Nat.min_... | [
174,
66
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
171,
9
] |
Mathlib/RingTheory/Noetherian.lean | isNoetherian_submodule_left | [] | [
107,
100
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
105,
1
] |
Mathlib/CategoryTheory/Limits/Shapes/Biproducts.lean | CategoryTheory.Limits.biproduct.ι_π_ne | [
{
"state_after": "no goals",
"state_before": "J : Type w\nC : Type u\ninst✝² : Category C\ninst✝¹ : HasZeroMorphisms C\nf : J → C\ninst✝ : HasBiproduct f\nj j' : J\nh : j ≠ j'\n⊢ ι f j ≫ π f j' = 0",
"tactic": "simp [biproduct.ι_π, h]"
}
] | [
424,
73
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
423,
1
] |
Mathlib/Algebra/Hom/GroupAction.lean | DistribMulActionHom.map_smul | [] | [
321,
17
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
320,
11
] |
Mathlib/LinearAlgebra/Dfinsupp.lean | Dfinsupp.lmk_apply | [] | [
88,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
87,
1
] |
Mathlib/Topology/Order/Basic.lean | tendsto_of_tendsto_of_tendsto_of_le_of_le | [] | [
973,
31
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
969,
1
] |
Mathlib/Data/Finset/Basic.lean | Finset.inter_sdiff | [
{
"state_after": "case a\nα : Type u_1\nβ : Type ?u.224919\nγ : Type ?u.224922\ninst✝ : DecidableEq α\ns✝ t✝ u✝ v : Finset α\na b : α\ns t u : Finset α\nx : α\n⊢ x ∈ s ∩ (t \\ u) ↔ x ∈ (s ∩ t) \\ u",
"state_before": "α : Type u_1\nβ : Type ?u.224919\nγ : Type ?u.224922\ninst✝ : DecidableEq α\ns✝ t✝ u✝ v : F... | [
2077,
19
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2075,
1
] |
Mathlib/Analysis/NormedSpace/BoundedLinearMaps.lean | ContinuousLinearMap.map_smul₂ | [
{
"state_after": "no goals",
"state_before": "𝕜 : Type u_1\ninst✝¹³ : NontriviallyNormedField 𝕜\nE : Type u_2\ninst✝¹² : NormedAddCommGroup E\ninst✝¹¹ : NormedSpace 𝕜 E\nF : Type u_4\ninst✝¹⁰ : NormedAddCommGroup F\ninst✝⁹ : NormedSpace 𝕜 F\nG : Type u_3\ninst✝⁸ : NormedAddCommGroup G\ninst✝⁷ : NormedSp... | [
325,
30
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
324,
1
] |
Mathlib/Analysis/Convex/Side.lean | AffineSubspace.sSameSide_comm | [
{
"state_after": "no goals",
"state_before": "R : Type u_1\nV : Type u_2\nV' : Type ?u.86416\nP : Type u_3\nP' : Type ?u.86422\ninst✝⁶ : StrictOrderedCommRing R\ninst✝⁵ : AddCommGroup V\ninst✝⁴ : Module R V\ninst✝³ : AddTorsor V P\ninst✝² : AddCommGroup V'\ninst✝¹ : Module R V'\ninst✝ : AddTorsor V' P'\ns :... | [
199,
67
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
198,
1
] |
Mathlib/LinearAlgebra/Basic.lean | Submodule.coe_ofLe | [] | [
625,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
624,
1
] |
Mathlib/Analysis/SpecialFunctions/Pow/Real.lean | Real.rpow_le_one_of_one_le_of_nonpos | [
{
"state_after": "case h.e'_4\nx✝ y z✝ x z : ℝ\nhx : 1 ≤ x\nhz : z ≤ 0\n⊢ 1 = x ^ 0",
"state_before": "x✝ y z✝ x z : ℝ\nhx : 1 ≤ x\nhz : z ≤ 0\n⊢ x ^ z ≤ 1",
"tactic": "convert rpow_le_rpow_of_exponent_le hx hz"
},
{
"state_after": "no goals",
"state_before": "case h.e'_4\nx✝ y z✝ x z : ℝ\nh... | [
531,
27
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
529,
1
] |
Mathlib/Data/Real/NNReal.lean | Real.toNNReal_lt_iff_lt_coe | [
{
"state_after": "no goals",
"state_before": "r : ℝ\np : ℝ≥0\nha : 0 ≤ r\n⊢ toNNReal r < p ↔ r < ↑p",
"tactic": "rw [← NNReal.coe_lt_coe, Real.coe_toNNReal r ha]"
}
] | [
687,
51
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
686,
1
] |
Mathlib/Data/Polynomial/Derivative.lean | Polynomial.natDegree_derivative_le | [
{
"state_after": "case pos\nR : Type u\nS : Type v\nT : Type w\nι : Type y\nA : Type z\na b : R\nn : ℕ\ninst✝ : Semiring R\np : R[X]\np0 : natDegree p = 0\n⊢ natDegree (↑derivative p) ≤ natDegree p - 1\n\ncase neg\nR : Type u\nS : Type v\nT : Type w\nι : Type y\nA : Type z\na b : R\nn : ℕ\ninst✝ : Semiring R\np... | [
227,
57
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
224,
1
] |
Mathlib/Analysis/SpecialFunctions/Log/Basic.lean | Real.log_lt_iff_lt_exp | [
{
"state_after": "no goals",
"state_before": "x y : ℝ\nhx : 0 < x\n⊢ log x < y ↔ x < exp y",
"tactic": "rw [← exp_lt_exp, exp_log hx]"
}
] | [
161,
99
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
161,
1
] |
Mathlib/Data/Set/Sups.lean | Set.sups_infs_subset_right | [] | [
382,
57
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
381,
1
] |
Mathlib/Data/Real/Basic.lean | Real.cauchy_mul | [
{
"state_after": "no goals",
"state_before": "x y : ℝ\na b : Cauchy abs\n⊢ (Real.mul { cauchy := a } { cauchy := b }).cauchy = { cauchy := a }.cauchy * { cauchy := b }.cauchy",
"tactic": "rw [mul_def]"
}
] | [
161,
58
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
160,
1
] |
Mathlib/Data/PFun.lean | PFun.res_univ | [] | [
197,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
196,
1
] |
Mathlib/GroupTheory/FreeProduct.lean | FreeProduct.inv_def | [] | [
226,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
222,
1
] |
Mathlib/Data/PFun.lean | PFun.pure_defined | [] | [
239,
16
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
238,
1
] |
Mathlib/Topology/Instances/ENNReal.lean | tsum_comp_le_tsum_of_inj | [
{
"state_after": "case intro\nα : Type u_2\nβ✝ : Type ?u.339127\nγ : Type ?u.339130\nβ : Type u_1\ni : β → α\nhi : Injective i\nf : α → ℝ≥0\nhf : Summable fun i => ↑(f i)\n⊢ tsum ((fun i => ↑(f i)) ∘ i) ≤ ∑' (i : α), ↑(f i)",
"state_before": "α : Type u_2\nβ✝ : Type ?u.339127\nγ : Type ?u.339130\nβ : Type u... | [
1290,
86
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1286,
1
] |
Mathlib/Topology/Algebra/Order/Field.lean | Filter.Tendsto.atBot_mul | [
{
"state_after": "𝕜 : Type u_1\nα : Type u_2\ninst✝² : LinearOrderedField 𝕜\ninst✝¹ : TopologicalSpace 𝕜\ninst✝ : OrderTopology 𝕜\nl : Filter α\nf g : α → 𝕜\nC : 𝕜\nhC : 0 < C\nhf : Tendsto f l atBot\nhg : Tendsto g l (𝓝 C)\nthis : Tendsto (fun x => (Neg.neg ∘ f) x * g x) l atTop\n⊢ Tendsto (fun x => f x... | [
98,
58
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
95,
1
] |
Mathlib/Topology/ContinuousOn.lean | frontier_inter_open_inter | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\nβ : Type ?u.400653\nγ : Type ?u.400656\nδ : Type ?u.400659\ninst✝³ : TopologicalSpace α\ninst✝² : TopologicalSpace β\ninst✝¹ : TopologicalSpace γ\ninst✝ : TopologicalSpace δ\ns t : Set α\nht : IsOpen t\n⊢ frontier (s ∩ t) ∩ t = frontier s ∩ t",
... | [
1261,
37
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1257,
1
] |
Mathlib/Data/Multiset/Basic.lean | Multiset.cons_subset | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\nβ : Type ?u.28283\nγ : Type ?u.28286\na : α\ns t : Multiset α\n⊢ a ::ₘ s ⊆ t ↔ a ∈ t ∧ s ⊆ t",
"tactic": "simp [subset_iff, or_imp, forall_and]"
}
] | [
420,
40
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
419,
1
] |
Mathlib/Order/Hom/Bounded.lean | TopHom.coe_comp | [] | [
262,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
261,
1
] |
Mathlib/SetTheory/Ordinal/Arithmetic.lean | not_injective_of_ordinal | [] | [
2128,
52
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2127,
1
] |
Mathlib/MeasureTheory/Function/L1Space.lean | MeasureTheory.hasFiniteIntegral_of_bounded | [] | [
187,
39
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
185,
1
] |
Mathlib/Geometry/Manifold/SmoothManifoldWithCorners.lean | LocalHomeomorph.extend_coord_change_source_mem_nhdsWithin | [
{
"state_after": "𝕜 : Type u_3\nE : Type u_1\nM : Type u_2\nH : Type u_4\nE' : Type ?u.171224\nM' : Type ?u.171227\nH' : Type ?u.171230\ninst✝⁸ : NontriviallyNormedField 𝕜\ninst✝⁷ : NormedAddCommGroup E\ninst✝⁶ : NormedSpace 𝕜 E\ninst✝⁵ : TopologicalSpace H\ninst✝⁴ : TopologicalSpace M\nf f' : LocalHomeomorp... | [
981,
54
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
975,
1
] |
Mathlib/Order/Filter/Basic.lean | Filter.frequently_or_distrib | [
{
"state_after": "no goals",
"state_before": "α : Type u\nβ : Type v\nγ : Type w\nδ : Type ?u.163984\nι : Sort x\nf : Filter α\np q : α → Prop\n⊢ (∃ᶠ (x : α) in f, p x ∨ q x) ↔ (∃ᶠ (x : α) in f, p x) ∨ ∃ᶠ (x : α) in f, q x",
"tactic": "simp only [Filter.Frequently, ← not_and_or, not_or, eventually_and]"... | [
1342,
70
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1340,
1
] |
Mathlib/Data/Finset/Lattice.lean | Finset.mem_of_min | [] | [
1281,
22
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1280,
1
] |
Mathlib/Order/LocallyFinite.lean | Finset.map_subtype_embedding_Ioo | [
{
"state_after": "α : Type u_1\nβ : Type ?u.221543\ninst✝² : Preorder α\np : α → Prop\ninst✝¹ : DecidablePred p\ninst✝ : LocallyFiniteOrder α\na b : Subtype p\nhp : ∀ ⦃a b x : α⦄, a ≤ x → x ≤ b → p a → p b → p x\n⊢ map (Embedding.subtype p) (Finset.subtype p (Ioo ↑a ↑b)) = Ioo ↑a ↑b",
"state_before": "α : T... | [
1310,
41
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1306,
1
] |
Mathlib/RingTheory/MvPolynomial/WeightedHomogeneous.lean | MvPolynomial.weightedHomogeneousComponent_eq_zero | [
{
"state_after": "no goals",
"state_before": "R : Type u_2\nM : Type u_1\ninst✝³ : CommSemiring R\nσ : Type u_3\ninst✝² : AddCommMonoid M\nw : σ → M\nn : M\nφ ψ : MvPolynomial σ R\ninst✝¹ : SemilatticeSup M\ninst✝ : OrderBot M\nh : weightedTotalDegree w φ < n\n⊢ ↑(weightedHomogeneousComponent w n) φ = 0",
... | [
385,
57
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
376,
1
] |
Mathlib/Analysis/SpecialFunctions/Arsinh.lean | Real.arsinh_nonneg_iff | [
{
"state_after": "no goals",
"state_before": "x y : ℝ\n⊢ 0 ≤ arsinh x ↔ 0 ≤ x",
"tactic": "rw [← sinh_le_sinh, sinh_zero, sinh_arsinh]"
}
] | [
165,
99
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
165,
1
] |
Mathlib/Analysis/Calculus/Deriv/Prod.lean | hasDerivAtFilter_pi | [] | [
97,
24
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
95,
1
] |
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