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src/lean/Init/Core.lean | Nat.add_zero | [] | [
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Mathlib/Order/SuccPred/Basic.lean | Order.succ_le_iff_of_not_isMax | [] | [
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Mathlib/Data/Matrix/Notation.lean | Matrix.eta_fin_three | [
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Mathlib/Order/Heyting/Hom.lean | HeytingHom.cancel_right | [] | [
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Mathlib/CategoryTheory/Limits/Shapes/Types.lean | CategoryTheory.Limits.Types.binaryCoproductIso_inr_comp_hom | [] | [
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Mathlib/Analysis/Convex/Between.lean | affineSegment_same | [
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Mathlib/Topology/SubsetProperties.lean | isPreirreducible_iff_closure | [
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Mathlib/MeasureTheory/Measure/MeasureSpace.lean | MeasureTheory.ae_iff_measure_eq | [
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Mathlib/CategoryTheory/MorphismProperty.lean | CategoryTheory.MorphismProperty.StableUnderCobaseChange.mk | [
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Mathlib/MeasureTheory/Function/SimpleFunc.lean | MeasureTheory.SimpleFunc.zero_lintegral | [] | [
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Mathlib/Order/WellFoundedSet.lean | Set.Subsingleton.wellFoundedOn | [] | [
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Mathlib/Topology/LocalHomeomorph.lean | LocalHomeomorph.bijOn | [] | [
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Mathlib/Algebra/Star/Module.lean | skewAdjointPart_comp_subtype_skewAdjoint | [
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Mathlib/Order/ConditionallyCompleteLattice/Basic.lean | csSup_Ico | [] | [
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Mathlib/Algebra/Parity.lean | Even.neg_one_zpow | [
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Mathlib/Geometry/Manifold/LocalInvariantProperties.lean | LocalHomeomorph.isLocalStructomorphWithinAt_iff | [
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Mathlib/Algebra/MonoidAlgebra/ToDirectSum.lean | AddMonoidAlgebra.toDirectSum_zero | [] | [
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Mathlib/Data/Set/Prod.lean | Set.prod_subset_preimage_fst | [] | [
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Mathlib/Data/Nat/Log.lean | Nat.clog_zero_right | [] | [
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Mathlib/Data/Multiset/FinsetOps.lean | Multiset.zero_ndinter | [] | [
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Mathlib/Topology/Semicontinuous.lean | LowerSemicontinuous.isOpen_preimage | [] | [
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Mathlib/Init/Function.lean | Function.Surjective.comp | [] | [
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Mathlib/Control/Applicative.lean | Functor.Comp.applicative_id_comp | [] | [
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Mathlib/Analysis/InnerProductSpace/Basic.lean | inner_self_ne_zero | [] | [
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Mathlib/Topology/Algebra/UniformMulAction.lean | UniformSpace.Completion.smul_def | [] | [
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Mathlib/CategoryTheory/Limits/Shapes/ZeroMorphisms.lean | CategoryTheory.Limits.IsZero.eq_zero_of_tgt | [] | [
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Mathlib/Data/Polynomial/Eval.lean | Polynomial.map_sub | [] | [
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Mathlib/Analysis/Calculus/FDeriv/Add.lean | HasStrictFDerivAt.const_add | [] | [
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Mathlib/Data/Real/Sqrt.lean | Real.sqrtAux_nonneg | [
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Mathlib/Computability/Reduce.lean | ManyOneDegree.le_add_right | [
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Mathlib/Algebra/Order/Field/Basic.lean | sub_self_div_two | [
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Mathlib/Algebra/Lie/Basic.lean | lie_sub | [
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Mathlib/Algebra/Associated.lean | irreducible_units_mul | [
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Mathlib/SetTheory/Cardinal/Basic.lean | Cardinal.mk_range_eq | [] | [
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Mathlib/Data/Nat/Order/Basic.lean | Nat.zero_eq_mul | [
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Mathlib/LinearAlgebra/StdBasis.lean | LinearMap.proj_stdBasis_ne | [] | [
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Mathlib/Topology/Constructions.lean | Dense.quotient | [] | [
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Mathlib/GroupTheory/Commutator.lean | commutatorElement_self | [] | [
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Mathlib/Data/Real/ENNReal.lean | ENNReal.mul_lt_mul | [
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Mathlib/Algebra/Order/Hom/Ring.lean | OrderRingHom.coe_ringHom_apply | [] | [
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Mathlib/CategoryTheory/Limits/Shapes/Equivalence.lean | CategoryTheory.Equivalence.hasInitial_iff | [] | [
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Mathlib/MeasureTheory/MeasurableSpace.lean | Measurable.dite | [
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Mathlib/NumberTheory/ModularForms/CongruenceSubgroups.lean | Gamma_zero_bot | [
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Mathlib/Analysis/Calculus/Deriv/Comp.lean | HasDerivAtFilter.scomp | [
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Mathlib/Data/Set/Basic.lean | Set.eq_of_mem_singleton | [] | [
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Mathlib/Data/Finset/Prod.lean | Finset.offDiag_inter | [
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Mathlib/Algebra/Module/Submodule/Lattice.lean | Submodule.mem_iInf | [
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Mathlib/Algebra/CubicDiscriminant.lean | Cubic.splits_iff_roots_eq_three | [
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Mathlib/Topology/Algebra/Order/Group.lean | Continuous.abs | [] | [
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Mathlib/Deprecated/Group.lean | RingHom.to_isAddMonoidHom | [] | [
381,
27
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
379,
1
] |
Mathlib/NumberTheory/Padics/PadicVal.lean | padicValNat.pow | [
{
"state_after": "no goals",
"state_before": "p a b : ℕ\nhp : Fact (Nat.Prime p)\nn : ℕ\nha : a ≠ 0\n⊢ padicValNat p (a ^ n) = n * padicValNat p a",
"tactic": "simpa only [← @Nat.cast_inj ℤ, push_cast] using padicValRat.pow (Nat.cast_ne_zero.mpr ha)"
}
] | [
427,
92
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
426,
11
] |
Mathlib/MeasureTheory/Integral/SetToL1.lean | MeasureTheory.L1.setToL1_indicatorConstLp | [
{
"state_after": "α : Type u_1\nE : Type u_2\nF : Type u_3\nF' : Type ?u.1189632\nG : Type ?u.1189635\n𝕜 : Type ?u.1189638\np : ℝ≥0∞\ninst✝¹⁰ : NormedAddCommGroup E\ninst✝⁹ : NormedSpace ℝ E\ninst✝⁸ : NormedAddCommGroup F\ninst✝⁷ : NormedSpace ℝ F\ninst✝⁶ : NormedAddCommGroup F'\ninst✝⁵ : NormedSpace ℝ F'\nins... | [
1153,
61
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1149,
1
] |
Mathlib/Analysis/SpecialFunctions/Complex/Arg.lean | Complex.abs_mul_exp_arg_mul_I | [
{
"state_after": "case inl\n\n⊢ ↑(↑abs 0) * exp (↑(arg 0) * I) = 0\n\ncase inr\nx : ℂ\nhx : x ≠ 0\n⊢ ↑(↑abs x) * exp (↑(arg x) * I) = x",
"state_before": "x : ℂ\n⊢ ↑(↑abs x) * exp (↑(arg x) * I) = x",
"tactic": "rcases eq_or_ne x 0 with (rfl | hx)"
},
{
"state_after": "no goals",
"state_befo... | [
64,
69
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
60,
1
] |
Mathlib/NumberTheory/ArithmeticFunction.lean | Nat.ArithmeticFunction.cardDistinctFactors_apply_prime | [
{
"state_after": "no goals",
"state_before": "R : Type ?u.570430\np : ℕ\nhp : Prime p\n⊢ ↑ω p = 1",
"tactic": "rw [← pow_one p, cardDistinctFactors_apply_prime_pow hp one_ne_zero]"
}
] | [
939,
71
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
938,
1
] |
Mathlib/MeasureTheory/Integral/Bochner.lean | MeasureTheory.integral_norm_eq_lintegral_nnnorm | [
{
"state_after": "α : Type u_2\nE : Type ?u.1049026\nF : Type ?u.1049029\n𝕜 : Type ?u.1049032\ninst✝¹¹ : NormedAddCommGroup E\ninst✝¹⁰ : NormedSpace ℝ E\ninst✝⁹ : CompleteSpace E\ninst✝⁸ : NontriviallyNormedField 𝕜\ninst✝⁷ : NormedSpace 𝕜 E\ninst✝⁶ : SMulCommClass ℝ 𝕜 E\ninst✝⁵ : NormedAddCommGroup F\ninst✝... | [
1143,
78
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1139,
1
] |
Mathlib/Algebra/Homology/Homotopy.lean | Homotopy.nullHomotopicMap_comp | [
{
"state_after": "case h\nι : 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 : ι\nhom : (i j : ι) → X C i ⟶ X D j\ng : D ⟶ E\nn : ι\n⊢ Hom.f (nullHomotopicMap hom ≫ g) n = Hom.f (nullHomotopicMap fun i j => hom i... | [
275,
59
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
271,
1
] |
Mathlib/MeasureTheory/Integral/SetToL1.lean | MeasureTheory.setToFun_mono_left | [] | [
1481,
57
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1478,
1
] |
Mathlib/Analysis/Asymptotics/Asymptotics.lean | Asymptotics.IsBigOWith.sup' | [] | [
639,
93
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
636,
1
] |
Mathlib/CategoryTheory/Preadditive/Basic.lean | CategoryTheory.Preadditive.epi_of_cokernel_iso_zero | [] | [
290,
53
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
288,
1
] |
Mathlib/LinearAlgebra/Basis.lean | Basis.prod_apply_inr_snd | [
{
"state_after": "case h\nι : Type u_3\nι' : Type u_4\nR : Type u_5\nR₂ : Type ?u.583731\nK : Type ?u.583734\nM : Type u_2\nM' : Type u_1\nM'' : Type ?u.583743\nV : Type u\nV' : Type ?u.583748\ninst✝⁴ : Semiring R\ninst✝³ : AddCommMonoid M\ninst✝² : Module R M\ninst✝¹ : AddCommMonoid M'\ninst✝ : Module R M'\nb ... | [
761,
54
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
755,
1
] |
Mathlib/GroupTheory/Perm/Cycle/Basic.lean | Equiv.Perm.list_cycles_perm_list_cycles | [
{
"state_after": "ι : Type ?u.2673155\nα✝ : Type ?u.2673158\nβ : Type ?u.2673161\ninst✝¹ : DecidableEq α✝\nα : Type u_1\ninst✝ : Finite α\nl₁ l₂ : List (Perm α)\nh₀ : List.prod l₁ = List.prod l₂\nh₁l₁ : ∀ (σ : Perm α), σ ∈ l₁ → IsCycle σ\nh₁l₂ : ∀ (σ : Perm α), σ ∈ l₂ → IsCycle σ\nh₂l₁ : List.Pairwise Disjoint ... | [
1325,
59
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1313,
1
] |
Mathlib/Init/Data/Int/Basic.lean | Int.ofNat_add_out | [] | [
48,
76
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
48,
11
] |
Mathlib/Topology/DenseEmbedding.lean | DenseInducing.prod | [] | [
103,
40
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
99,
11
] |
Mathlib/Topology/Inseparable.lean | IsClosed.not_specializes | [] | [
136,
27
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
135,
1
] |
Mathlib/MeasureTheory/Function/L1Space.lean | MeasureTheory.lintegral_norm_eq_lintegral_edist | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\nβ : Type u_2\nγ : Type ?u.688837\nδ : Type ?u.688840\nm : MeasurableSpace α\nμ ν : Measure α\ninst✝² : MeasurableSpace δ\ninst✝¹ : NormedAddCommGroup β\ninst✝ : NormedAddCommGroup γ\nf : α → β\n⊢ (∫⁻ (a : α), ENNReal.ofReal ‖f a‖ ∂μ) = ∫⁻ (a : α), ... | [
76,
61
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
74,
1
] |
Mathlib/GroupTheory/Commutator.lean | Subgroup.commutator_bot_left | [] | [
160,
42
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
159,
1
] |
Mathlib/LinearAlgebra/LinearIndependent.lean | exists_finite_card_le_of_finite_of_linearIndependent_of_span | [
{
"state_after": "ι : Type u'\nι' : Type ?u.1312198\nR : Type ?u.1312201\nK : Type u_1\nM : Type ?u.1312207\nM' : Type ?u.1312210\nM'' : Type ?u.1312213\nV : Type u\nV' : Type ?u.1312218\ninst✝⁴ : DivisionRing K\ninst✝³ : AddCommGroup V\ninst✝² : AddCommGroup V'\ninst✝¹ : Module K V\ninst✝ : Module K V'\nv : ι ... | [
1405,
96
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1399,
1
] |
Mathlib/Algebra/Hom/Ring.lean | RingHom.coe_copy | [] | [
510,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
509,
1
] |
Mathlib/Order/SymmDiff.lean | bot_bihimp | [
{
"state_after": "no goals",
"state_before": "ι : Type ?u.57742\nα : Type u_1\nβ : Type ?u.57748\nπ : ι → Type ?u.57753\ninst✝ : HeytingAlgebra α\na : α\n⊢ ⊥ ⇔ a = aᶜ",
"tactic": "simp [bihimp]"
}
] | [
373,
52
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
373,
1
] |
Mathlib/Algebra/Order/Ring/Lemmas.lean | mul_lt_iff_lt_one_left | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\na b c d : α\ninst✝⁴ : MulOneClass α\ninst✝³ : Zero α\ninst✝² : Preorder α\ninst✝¹ : MulPosStrictMono α\ninst✝ : MulPosReflectLT α\nb0 : 0 < b\n⊢ a * b < b ↔ a * b < 1 * b",
"tactic": "rw [one_mul]"
}
] | [
660,
52
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
658,
1
] |
Mathlib/Data/Set/Pairwise/Lattice.lean | Set.pairwise_sUnion | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\nβ : Type ?u.513\nγ : Type ?u.516\nι : Type ?u.519\nι' : Type ?u.522\nr✝ p q : α → α → Prop\nf g : ι → α\ns✝ t u : Set α\na b : α\nr : α → α → Prop\ns : Set (Set α)\nh : DirectedOn (fun x x_1 => x ⊆ x_1) s\n⊢ Set.Pairwise (⋃₀ s) r ↔ ∀ (a : Set α), a... | [
45,
71
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
43,
1
] |
Mathlib/Algebra/Divisibility/Units.lean | isUnit_iff_forall_dvd | [] | [
132,
74
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
131,
1
] |
Mathlib/LinearAlgebra/AffineSpace/AffineEquiv.lean | AffineMap.lineMap_vsub | [] | [
640,
46
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
638,
1
] |
Mathlib/Data/Set/Intervals/Basic.lean | Set.Ioo_subset_Ioc_self | [] | [
511,
83
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
511,
1
] |
Mathlib/RingTheory/DedekindDomain/Factorization.lean | Associates.finprod_ne_zero | [
{
"state_after": "R : Type u_1\ninst✝⁵ : CommRing R\ninst✝⁴ : IsDomain R\ninst✝³ : IsDedekindDomain R\nK : Type ?u.240355\ninst✝² : Field K\ninst✝¹ : Algebra R K\ninst✝ : IsFractionRing R K\nv : HeightOneSpectrum R\nI : Ideal R\n⊢ (if h : Set.Finite (mulSupport fun v => maxPowDividing v I) then ∏ i in Finite.to... | [
135,
22
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
128,
1
] |
Mathlib/Order/PartialSups.lean | partialSups_eq_sup_range | [
{
"state_after": "case zero\nα : Type u_1\ninst✝¹ : SemilatticeSup α\ninst✝ : OrderBot α\nf : ℕ → α\n⊢ ↑(partialSups f) Nat.zero = Finset.sup (Finset.range (Nat.zero + 1)) f\n\ncase succ\nα : Type u_1\ninst✝¹ : SemilatticeSup α\ninst✝ : OrderBot α\nf : ℕ → α\nn : ℕ\nih : ↑(partialSups f) n = Finset.sup (Finset.... | [
138,
60
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
133,
1
] |
Mathlib/RingTheory/UniqueFactorizationDomain.lean | Associates.count_mul | [
{
"state_after": "case intro.intro\nα : Type u_1\ninst✝¹ : CancelCommMonoidWithZero α\ndec_irr : (p : Associates α) → Decidable (Irreducible p)\ninst✝ : UniqueFactorizationMonoid α\ndec : DecidableEq α\ndec' : DecidableEq (Associates α)\na : Associates α\nha : a ≠ 0\nb : Associates α\nhb : b ≠ 0\np : Associates... | [
1738,
54
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1732,
1
] |
Mathlib/Data/Matrix/Basic.lean | Matrix.submatrix_diagonal_embedding | [] | [
2478,
37
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2476,
1
] |
Mathlib/Data/Set/Lattice.lean | Set.iInter_iInter_eq' | [
{
"state_after": "no goals",
"state_before": "α : Type u_2\nβ : Type u_1\nγ : Type ?u.210965\nι : Sort u_3\nι' : Sort ?u.210971\nι₂ : Sort ?u.210974\nκ : ι → Sort ?u.210979\nκ₁ : ι → Sort ?u.210984\nκ₂ : ι → Sort ?u.210989\nκ' : ι' → Sort ?u.210994\nf : ι → α\ng : α → Set β\n⊢ (⋂ (x : α) (y : ι) (_ : f y = ... | [
1694,
82
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1693,
1
] |
Mathlib/Data/Finset/Basic.lean | Finset.disjoint_erase_comm | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\nβ : Type ?u.245796\nγ : Type ?u.245799\ninst✝ : DecidableEq α\ns t u v : Finset α\na b : α\n⊢ _root_.Disjoint (erase s a) t ↔ _root_.Disjoint s (erase t a)",
"tactic": "simp_rw [erase_eq, disjoint_sdiff_comm]"
}
] | [
2231,
42
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2230,
1
] |
Mathlib/Order/Filter/Germ.lean | Filter.Germ.coe_inv | [] | [
454,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
453,
1
] |
Std/Data/Int/Lemmas.lean | Int.add_neg | [] | [
835,
40
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
834,
11
] |
Mathlib/Algebra/Order/Field/Basic.lean | lt_one_div | [
{
"state_after": "no goals",
"state_before": "ι : Type ?u.81079\nα : Type u_1\nβ : Type ?u.81085\ninst✝ : LinearOrderedSemifield α\na b c d e : α\nm n : ℤ\nha : 0 < a\nhb : 0 < b\n⊢ a < 1 / b ↔ b < 1 / a",
"tactic": "simpa using lt_inv ha hb"
}
] | [
445,
100
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
445,
1
] |
Mathlib/Algebra/Lie/Nilpotent.lean | LieAlgebra.nilpotent_ad_of_nilpotent_algebra | [] | [
536,
53
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
534,
1
] |
Mathlib/GroupTheory/FreeAbelianGroupFinsupp.lean | FreeAbelianGroup.support_neg | [
{
"state_after": "no goals",
"state_before": "X : Type u_1\na : FreeAbelianGroup X\n⊢ support (-a) = support a",
"tactic": "simp only [support, AddMonoidHom.map_neg, Finsupp.support_neg]"
}
] | [
178,
65
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
177,
1
] |
Mathlib/CategoryTheory/Limits/Shapes/CommSq.lean | CategoryTheory.IsPushout.of_hasBinaryBiproduct | [] | [
836,
49
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
834,
1
] |
Mathlib/Analysis/Convex/Segment.lean | segment_translate_image | [] | [
284,
84
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
283,
1
] |
Mathlib/Data/Nat/Log.lean | Nat.lt_pow_of_log_lt | [] | [
131,
47
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
130,
1
] |
Mathlib/Data/Finset/Basic.lean | Multiset.toFinset_cons | [] | [
3148,
30
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
3147,
1
] |
Mathlib/GroupTheory/Complement.lean | Subgroup.quotientEquivSigmaZMod_symm_apply | [] | [
586,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
583,
1
] |
Mathlib/Data/Finset/Sum.lean | Finset.disj_sum_strictMono_right | [] | [
113,
58
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
111,
1
] |
Mathlib/Data/Polynomial/Induction.lean | Polynomial.exists_C_coeff_not_mem | [] | [
102,
88
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
101,
1
] |
Mathlib/Data/Real/Hyperreal.lean | Hyperreal.infinitesimal_of_tendsto_zero | [] | [
715,
20
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
713,
1
] |
Mathlib/Data/Real/ENNReal.lean | ENNReal.one_lt_top | [] | [
695,
49
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
695,
9
] |
Std/Data/Nat/Lemmas.lean | Nat.dvd_antisymm | [] | [
710,
96
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
707,
1
] |
Mathlib/Topology/Semicontinuous.lean | LowerSemicontinuousAt.add | [] | [
495,
41
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
493,
1
] |
Mathlib/RingTheory/Subsemiring/Basic.lean | Subsemiring.closure_univ | [] | [
994,
30
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
993,
1
] |
Mathlib/Data/Finset/NAry.lean | Finset.coe_image₂ | [] | [
54,
30
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
52,
1
] |
Mathlib/Data/Complex/Exponential.lean | Complex.sin_sub_sin | [
{
"state_after": "x y : ℂ\ns1 : sin ((x + y) / 2 + (x - y) / 2) = sin ((x + y) / 2) * cos ((x - y) / 2) + cos ((x + y) / 2) * sin ((x - y) / 2)\n⊢ sin x - sin y = 2 * sin ((x - y) / 2) * cos ((x + y) / 2)",
"state_before": "x y : ℂ\n⊢ sin x - sin y = 2 * sin ((x - y) / 2) * cos ((x + y) / 2)",
"tactic":... | [
900,
7
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
894,
1
] |
Mathlib/Data/Finset/Card.lean | Finset.card_sdiff_add_card | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\nβ : Type ?u.41772\ns t : Finset α\nf : α → β\nn : ℕ\ninst✝ : DecidableEq α\n⊢ card (s \\ t) + card t = card (s ∪ t)",
"tactic": "rw [← card_disjoint_union sdiff_disjoint, sdiff_union_self_eq_union]"
}
] | [
453,
71
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
452,
1
] |
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