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Mathlib/Logic/Basic.lean
exists_unique_eq'
[ { "state_after": "no goals", "state_before": "ι : Sort ?u.16719\nα : Sort u_1\nκ : ι → Sort ?u.16721\np q : α → Prop\na' : α\n⊢ ∃! a, a' = a", "tactic": "simp only [ExistsUnique, and_self, forall_eq', exists_eq']" } ]
[ 770, 61 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 769, 9 ]
Mathlib/CategoryTheory/Limits/Shapes/CommSq.lean
CategoryTheory.IsPushout.of_is_coproduct
[ { "state_after": "case mk.right\nC : Type u₁\ninst✝ : Category C\nZ X Y P : C\nf : Z ⟶ X\ng : Z ⟶ Y\ninl : X ⟶ P\ninr : Y ⟶ P\nc : BinaryCofan X Y\nh : IsColimit c\nt : IsInitial Z\n⊢ BinaryCofan.inr c ≫ 𝟙 c.pt = BinaryCofan.inr c", "state_before": "case mk.right\nC : Type u₁\ninst✝ : Category C\nZ X Y P :...
[ 388, 25 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 379, 1 ]
Mathlib/Order/Interval.lean
NonemptyInterval.coe_pure
[]
[ 272, 13 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 271, 1 ]
Mathlib/ModelTheory/LanguageMap.lean
FirstOrder.Language.LHom.mk₂_funext
[]
[ 143, 78 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 128, 1 ]
Mathlib/Analysis/Calculus/LHopital.lean
deriv.lhopital_zero_atTop
[ { "state_after": "a b : ℝ\nhab : a < b\nl : Filter ℝ\nf f' g g' : ℝ → ℝ\nhdf : ∀ᶠ (x : ℝ) in atTop, DifferentiableAt ℝ f x\nhg' : ∀ᶠ (x : ℝ) in atTop, deriv g x ≠ 0\nhftop : Tendsto f atTop (𝓝 0)\nhgtop : Tendsto g atTop (𝓝 0)\nhdiv : Tendsto (fun x => deriv f x / deriv g x) atTop l\nhdg : ∀ᶠ (x : ℝ) in atTop...
[ 448, 70 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 437, 1 ]
Mathlib/Algebra/Ring/Commute.lean
Commute.neg_right_iff
[]
[ 100, 27 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 99, 1 ]
Mathlib/GroupTheory/Perm/Cycle/Basic.lean
Equiv.Perm.sameCycle_inv
[ { "state_after": "no goals", "state_before": "ι : Type ?u.33030\nα : Type u_1\nβ : Type ?u.33036\nf g : Perm α\np : α → Prop\nx y z : α\n⊢ (∃ b, ↑(f⁻¹ ^ ↑(Equiv.neg ℤ).symm b) x = y) ↔ SameCycle f x y", "tactic": "simp [SameCycle]" } ]
[ 112, 63 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 111, 1 ]
Mathlib/Analysis/Calculus/Deriv/Basic.lean
DifferentiableAt.derivWithin
[ { "state_after": "𝕜 : Type u\ninst✝⁴ : NontriviallyNormedField 𝕜\nF : Type v\ninst✝³ : NormedAddCommGroup F\ninst✝² : NormedSpace 𝕜 F\nE : Type w\ninst✝¹ : NormedAddCommGroup E\ninst✝ : NormedSpace 𝕜 E\nf f₀ f₁ g : 𝕜 → F\nf' f₀' f₁' g' : F\nx : 𝕜\ns t : Set 𝕜\nL L₁ L₂ : Filter 𝕜\nh : DifferentiableAt 𝕜...
[ 483, 26 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 480, 1 ]
Mathlib/GroupTheory/Perm/Option.lean
Finset.univ_perm_option
[]
[ 89, 46 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 86, 1 ]
Mathlib/LinearAlgebra/Span.lean
LinearMap.span_singleton_eq_range
[ { "state_after": "R : Type u_2\nR₂ : Type ?u.329641\nK : Type ?u.329644\nM : Type u_1\nM₂ : Type ?u.329650\nV : Type ?u.329653\nS : Type ?u.329656\ninst✝² : Semiring R\ninst✝¹ : AddCommMonoid M\ninst✝ : Module R M\nx y : M\n⊢ y ∈ span R {x} ↔ ∃ y_1, ↑(toSpanSingleton R M x) y_1 = y", "state_before": "R : Ty...
[ 922, 29 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 919, 1 ]
Mathlib/MeasureTheory/Function/LpSeminorm.lean
MeasureTheory.snorm'_const_smul_le
[]
[ 1470, 11 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 1467, 1 ]
Mathlib/ModelTheory/Semantics.lean
FirstOrder.Language.BoundedFormula.realize_foldr_sup
[ { "state_after": "case nil\nL : Language\nL' : Language\nM : Type w\nN : Type ?u.66568\nP : Type ?u.66571\ninst✝² : Structure L M\ninst✝¹ : Structure L N\ninst✝ : Structure L P\nα : Type u'\nβ : Type v'\nn l : ℕ\nφ ψ : BoundedFormula L α l\nθ : BoundedFormula L α (Nat.succ l)\nv✝ : α → M\nxs✝ : Fin l → M\nv : α...
[ 340, 22 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 334, 1 ]
Mathlib/Data/Polynomial/Module.lean
PolynomialModule.add_apply
[]
[ 81, 28 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 80, 1 ]
Mathlib/Algebra/BigOperators/Ring.lean
Finset.mul_sum
[]
[ 59, 39 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 58, 1 ]
Mathlib/Algebra/BigOperators/Fin.lean
List.prod_ofFn
[ { "state_after": "case h.e'_2.h.e'_4\nα : Type u_1\nβ : Type ?u.226607\ninst✝ : CommMonoid α\nn : ℕ\nf : Fin n → α\n⊢ ofFn f = take n (ofFn f)\n\ncase h.e'_3.h\nα : Type u_1\nβ : Type ?u.226607\ninst✝ : CommMonoid α\nn : ℕ\nf : Fin n → α\n⊢ univ = Finset.filter (fun j => ↑j < n) univ", "state_before": "α : ...
[ 485, 9 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 482, 1 ]
Mathlib/Algebra/Module/Submodule/Pointwise.lean
Submodule.neg_toAddSubmonoid
[]
[ 73, 6 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 72, 1 ]
Mathlib/Data/Set/Image.lean
Set.subsingleton_of_preimage
[ { "state_after": "case intro.intro\nα✝ : Type ?u.101676\nβ✝ : Type ?u.101679\nγ : Type ?u.101682\nι : Sort ?u.101685\nι' : Sort ?u.101688\ns✝ : Set α✝\nα : Type u_1\nβ : Type u_2\nf : α → β\nhf : Surjective f\ns : Set β\nhs : Set.Subsingleton (f ⁻¹' s)\nx : α\nhx : f x ∈ s\ny : α\nhy : f y ∈ s\n⊢ f x = f y", ...
[ 1238, 31 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 1235, 1 ]
Mathlib/Order/Filter/Extr.lean
IsMinOn.min
[]
[ 600, 24 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 598, 1 ]
Mathlib/Order/SuccPred/Basic.lean
Succ.rec
[ { "state_after": "case intro\nα : Type u_1\ninst✝² : Preorder α\ninst✝¹ : SuccOrder α\ninst✝ : IsSuccArchimedean α\na b : α\nP : α → Prop\nm : α\nh0 : P m\nh1 : ∀ (n : α), m ≤ n → P n → P (succ n)\nn : ℕ\nhmn : m ≤ (succ^[n]) m\n⊢ P ((succ^[n]) m)", "state_before": "α : Type u_1\ninst✝² : Preorder α\ninst✝¹...
[ 1393, 55 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 1387, 1 ]
Mathlib/Algebra/Lie/SkewAdjoint.lean
skewAdjointMatricesLieSubalgebraEquiv_apply
[ { "state_after": "no goals", "state_before": "R : Type u\nn : Type w\ninst✝² : CommRing R\ninst✝¹ : DecidableEq n\ninst✝ : Fintype n\nJ P : Matrix n n R\nh : Invertible P\nA : { x // x ∈ skewAdjointMatricesLieSubalgebra J }\n⊢ ↑(↑(skewAdjointMatricesLieSubalgebraEquiv J P h) A) = P⁻¹ ⬝ ↑A ⬝ P", "tactic"...
[ 148, 47 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 145, 1 ]
Mathlib/Analysis/Calculus/FDeriv/Basic.lean
fderivWithin_const_apply
[ { "state_after": "𝕜 : Type u_1\ninst✝⁸ : NontriviallyNormedField 𝕜\nE : Type u_2\ninst✝⁷ : NormedAddCommGroup E\ninst✝⁶ : NormedSpace 𝕜 E\nF : Type u_3\ninst✝⁵ : NormedAddCommGroup F\ninst✝⁴ : NormedSpace 𝕜 F\nG : Type ?u.1390092\ninst✝³ : NormedAddCommGroup G\ninst✝² : NormedSpace 𝕜 G\nG' : Type ?u.139018...
[ 1100, 29 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 1097, 1 ]
Mathlib/Order/Filter/Cofinite.lean
Filter.eventually_cofinite
[]
[ 49, 10 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 48, 1 ]
Mathlib/Topology/Algebra/Order/ExtrClosure.lean
IsMinOn.closure
[]
[ 37, 20 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 35, 11 ]
Mathlib/Probability/ProbabilityMassFunction/Basic.lean
Pmf.toMeasure_apply_inter_support
[ { "state_after": "no goals", "state_before": "α : Type u_1\nβ : Type ?u.84659\nγ : Type ?u.84662\ninst✝ : MeasurableSpace α\np : Pmf α\ns t : Set α\nhs : MeasurableSet s\nhp : MeasurableSet (support p)\n⊢ ↑↑(toMeasure p) (s ∩ support p) = ↑↑(toMeasure p) s", "tactic": "simp [p.toMeasure_apply_eq_toOuter...
[ 281, 63 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 278, 1 ]
Mathlib/Data/MvPolynomial/Basic.lean
MvPolynomial.coeff_mul_X'
[ { "state_after": "R : Type u\nS₁ : Type v\nS₂ : Type w\nS₃ : Type x\nσ : Type u_1\na a' a₁ a₂ : R\ne : ℕ\nn m✝ : σ\ns✝ : σ →₀ ℕ\ninst✝² : CommSemiring R\ninst✝¹ : CommSemiring S₁\np✝ q : MvPolynomial σ R\ninst✝ : DecidableEq σ\nm : σ →₀ ℕ\ns : σ\np : MvPolynomial σ R\n⊢ (if Finsupp.single s 1 ≤ m then coeff (m ...
[ 797, 13 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 793, 1 ]
Mathlib/Data/Setoid/Basic.lean
Setoid.ker_iff_mem_preimage
[]
[ 290, 10 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 289, 1 ]
Mathlib/Analysis/SpecialFunctions/Trigonometric/Chebyshev.lean
Polynomial.Chebyshev.T_complex_cos
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[ 88, 9 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 77, 1 ]
Mathlib/AlgebraicGeometry/PrimeSpectrum/Basic.lean
PrimeSpectrum.basicOpen_le_basicOpen_iff
[ { "state_after": "no goals", "state_before": "R : Type u\nS : Type v\ninst✝¹ : CommRing R\ninst✝ : CommRing S\nf g : R\n⊢ basicOpen f ≤ basicOpen g ↔ f ∈ Ideal.radical (Ideal.span {g})", "tactic": "rw [← SetLike.coe_subset_coe, basicOpen_eq_zeroLocus_compl, basicOpen_eq_zeroLocus_compl,\n Set.compl_sub...
[ 799, 70 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 796, 1 ]
Mathlib/Logic/Equiv/LocalEquiv.lean
LocalEquiv.EqOnSource.source_inter_preimage_eq
[ { "state_after": "no goals", "state_before": "α : Type u_1\nβ : Type u_2\nγ : Type ?u.57966\nδ : Type ?u.57969\ne✝ : LocalEquiv α β\ne'✝ : LocalEquiv β γ\ne e' : LocalEquiv α β\nhe : e ≈ e'\ns : Set β\n⊢ e.source ∩ ↑e ⁻¹' s = e'.source ∩ ↑e' ⁻¹' s", "tactic": "rw [he.eqOn.inter_preimage_eq, source_eq he...
[ 886, 97 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 885, 1 ]
Mathlib/Analysis/Calculus/IteratedDeriv.lean
iteratedDeriv_succ'
[ { "state_after": "𝕜 : Type u_1\ninst✝⁴ : NontriviallyNormedField 𝕜\nF : Type u_2\ninst✝³ : NormedAddCommGroup F\ninst✝² : NormedSpace 𝕜 F\nE : Type ?u.162489\ninst✝¹ : NormedAddCommGroup E\ninst✝ : NormedSpace 𝕜 E\nn : ℕ\nf : 𝕜 → F\ns : Set 𝕜\nx : 𝕜\n⊢ (deriv^[n + 1]) f = (deriv^[n]) (deriv f)", "sta...
[ 308, 63 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 307, 1 ]
Mathlib/LinearAlgebra/AffineSpace/FiniteDimensional.lean
collinear_iff_of_mem
[ { "state_after": "k : Type u_2\nV : Type u_3\nP : Type u_1\nι : Type ?u.250748\ninst✝³ : DivisionRing k\ninst✝² : AddCommGroup V\ninst✝¹ : Module k V\ninst✝ : AffineSpace V P\ns : Set P\np₀ : P\nh : p₀ ∈ s\n⊢ (∃ v₀, ∀ (v : V), v ∈ vectorSpan k s → ∃ r, r • v₀ = v) ↔ ∃ v, ∀ (p : P), p ∈ s → ∃ r, p = r • v +ᵥ p₀"...
[ 405, 46 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 381, 1 ]
Mathlib/Topology/Semicontinuous.lean
ContinuousWithinAt.lowerSemicontinuousWithinAt
[]
[ 286, 74 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 285, 1 ]
Mathlib/FieldTheory/Laurent.lean
RatFunc.taylor_mem_nonZeroDivisors
[ { "state_after": "R : Type u\ninst✝ : CommRing R\nhdomain : IsDomain R\nr s : R\np q : R[X]\nf : RatFunc R\nhp : p ∈ R[X]⁰\n⊢ ∀ (x : (fun x => R[X]) p), x * ↑(taylor r) p = 0 → x = 0", "state_before": "R : Type u\ninst✝ : CommRing R\nhdomain : IsDomain R\nr s : R\np q : R[X]\nf : RatFunc R\nhp : p ∈ R[X]⁰\n...
[ 48, 60 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 42, 1 ]
Mathlib/ModelTheory/Types.lean
FirstOrder.Language.Theory.CompleteType.setOf_subset_eq_empty_iff
[ { "state_after": "L : Language\nT : Theory L\nα : Type w\nS : Theory (L[[α]])\n⊢ IsSatisfiable (LHom.onTheory (lhomWithConstants L α) T ∪ S) ↔ ∃ x, x ∈ {p | S ⊆ ↑p}", "state_before": "L : Language\nT : Theory L\nα : Type w\nS : Theory (L[[α]])\n⊢ {p | S ⊆ ↑p} = ∅ ↔ ¬IsSatisfiable (LHom.onTheory (lhomWithCon...
[ 128, 54 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 117, 1 ]
Mathlib/Algebra/BigOperators/Finprod.lean
mul_finsum
[]
[ 1193, 40 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 1191, 1 ]
Mathlib/Data/ENat/Basic.lean
ENat.some_eq_coe
[]
[ 63, 72 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 63, 9 ]
Mathlib/CategoryTheory/Limits/Shapes/Equalizers.lean
CategoryTheory.Limits.coequalizer.π_of_eq
[]
[ 1056, 67 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 1055, 1 ]
Mathlib/Analysis/SpecialFunctions/Pow/NNReal.lean
ENNReal.top_rpow_of_pos
[ { "state_after": "no goals", "state_before": "y : ℝ\nh : 0 < y\n⊢ ⊤ ^ y = ⊤", "tactic": "simp [top_rpow_def, h]" } ]
[ 315, 94 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 315, 1 ]
Mathlib/Data/Sum/Order.lean
Sum.Lex.inr_strictMono
[]
[ 418, 43 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 417, 1 ]
Mathlib/Algebra/Algebra/Equiv.lean
AlgEquiv.map_pow
[]
[ 274, 12 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 273, 11 ]
Std/Data/List/Lemmas.lean
List.subset_append_left
[]
[ 249, 98 ]
e68aa8f5fe47aad78987df45f99094afbcb5e936
https://github.com/leanprover/std4
[ 249, 9 ]
Mathlib/Data/List/AList.lean
AList.toAList_cons
[]
[ 345, 6 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 343, 1 ]
Mathlib/Data/Set/Function.lean
Function.Semiconj.injOn_range
[ { "state_after": "α : Type u_1\nβ : Type u_2\nγ : Type ?u.112312\nι : Sort ?u.112315\nπ : α → Type ?u.112320\nfa : α → α\nfb : β → β\nf : α → β\ng : β → γ\ns t : Set α\nh : Semiconj f fa fb\nha : Injective fa\nhf : InjOn f (fa '' univ)\n⊢ InjOn fb (f '' univ)", "state_before": "α : Type u_1\nβ : Type u_2\nγ...
[ 1649, 41 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 1646, 1 ]
Mathlib/CategoryTheory/Subobject/Limits.lean
CategoryTheory.Limits.kernelSubobjectMap_id
[ { "state_after": "no goals", "state_before": "C : Type u\ninst✝³ : Category C\nX Y Z : C\ninst✝² : HasZeroMorphisms C\nf : X ⟶ Y\ninst✝¹ : HasKernel f\nX' Y' : C\nf' : X' ⟶ Y'\ninst✝ : HasKernel f'\n⊢ kernelSubobjectMap (𝟙 (Arrow.mk f)) = 𝟙 (underlying.obj (kernelSubobject f))", "tactic": "aesop_cat" ...
[ 167, 90 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 167, 1 ]
Mathlib/Order/RelClasses.lean
Set.not_bounded_iff
[ { "state_after": "no goals", "state_before": "α : Type u\nβ : Type v\nr✝ : α → α → Prop\ns✝ : β → β → Prop\nr : α → α → Prop\ns : Set α\n⊢ ¬Bounded r s ↔ Unbounded r s", "tactic": "simp only [Bounded, Unbounded, not_forall, not_exists, exists_prop, not_and, not_not]" } ]
[ 538, 88 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 537, 1 ]
Mathlib/Analysis/SpecialFunctions/Trigonometric/Angle.lean
Real.Angle.sin_add
[ { "state_after": "case h\nθ₂ : Angle\nx✝ : ℝ\n⊢ sin (↑x✝ + θ₂) = sin ↑x✝ * cos θ₂ + cos ↑x✝ * sin θ₂", "state_before": "θ₁ θ₂ : Angle\n⊢ sin (θ₁ + θ₂) = sin θ₁ * cos θ₂ + cos θ₁ * sin θ₂", "tactic": "induction θ₁ using Real.Angle.induction_on" }, { "state_after": "case h.h\nx✝¹ x✝ : ℝ\n⊢ sin (↑x...
[ 434, 25 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 431, 1 ]
Mathlib/Data/Finset/Preimage.lean
Finset.image_subset_iff_subset_preimage
[ { "state_after": "no goals", "state_before": "α : Type u\nβ : Type v\nι : Sort w\nγ : Type x\ninst✝ : DecidableEq β\nf : α → β\ns : Finset α\nt : Finset β\nhf : InjOn f (f ⁻¹' ↑t)\n⊢ (∀ (x : α), x ∈ s → f x ∈ t) ↔ s ⊆ preimage t f hf", "tactic": "simp only [subset_iff, mem_preimage]" } ]
[ 89, 68 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 87, 1 ]
Mathlib/Data/ZMod/Basic.lean
ZMod.inv_zero
[ { "state_after": "n : ℕ\n⊢ ↑(Nat.gcdA 0 (n + 1)) = 0", "state_before": "n : ℕ\n⊢ ↑(Nat.gcdA (val 0) (n + 1)) = 0", "tactic": "rw [val_zero]" }, { "state_after": "n : ℕ\n⊢ ↑(n + 1, 0, 1).snd.fst = 0", "state_before": "n : ℕ\n⊢ ↑(Nat.gcdA 0 (n + 1)) = 0", "tactic": "unfold Nat.gcdA Nat.xgc...
[ 642, 10 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 636, 1 ]
src/lean/Init/SimpLemmas.lean
and_false
[]
[ 85, 77 ]
d5348dfac847a56a4595fb6230fd0708dcb4e7e9
https://github.com/leanprover/lean4
[ 85, 9 ]
Mathlib/Algebra/Order/CompleteField.lean
LinearOrderedField.cutMap_bddAbove
[ { "state_after": "case intro\nF : Type ?u.11263\nα : Type u_2\nβ : Type u_1\nγ : Type ?u.11272\ninst✝² : LinearOrderedField α\ninst✝¹ : LinearOrderedField β\na✝ a₁ a₂ : α\nb : β\nq✝ : ℚ\ninst✝ : Archimedean α\na : α\nq : ℚ\nhq : a < ↑q\n⊢ BddAbove (cutMap β a)", "state_before": "F : Type ?u.11263\nα : Type ...
[ 149, 78 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 147, 1 ]
Mathlib/Data/Real/Hyperreal.lean
Hyperreal.infinitePos_add_not_infinite
[]
[ 574, 54 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 572, 1 ]
Mathlib/Topology/MetricSpace/Basic.lean
edist_dist
[]
[ 196, 35 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 195, 1 ]
Mathlib/Data/Polynomial/Eval.lean
Polynomial.comp_assoc
[ { "state_after": "case refine_3\nR✝ : Type u\nS : Type v\nT : Type w\nι : Type y\na b : R✝\nm n : ℕ\ninst✝¹ : Semiring R✝\np q r : R✝[X]\nR : Type u_1\ninst✝ : CommSemiring R\nφ ψ χ : R[X]\nn✝ : ℕ\na✝¹ : R\na✝ : comp (comp (↑C a✝¹ * X ^ n✝) ψ) χ = comp (↑C a✝¹ * X ^ n✝) (comp ψ χ)\n⊢ comp (comp (↑C a✝¹ * X ^ (n...
[ 662, 81 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 658, 1 ]
Mathlib/Data/Multiset/Nodup.lean
Multiset.nodup_range
[]
[ 207, 21 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 206, 1 ]
Mathlib/Logic/Function/Basic.lean
Function.Injective.surjective_comp_right
[]
[ 791, 57 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 789, 1 ]
Mathlib/Topology/UniformSpace/Cauchy.lean
Function.Bijective.cauchySeq_comp_iff
[ { "state_after": "α : Type u\nβ : Type v\ninst✝ : UniformSpace α\nf : ℕ → ℕ\nhf : Bijective f\nu : ℕ → α\nH : CauchySeq (u ∘ f)\n⊢ CauchySeq u", "state_before": "α : Type u\nβ : Type v\ninst✝ : UniformSpace α\nf : ℕ → ℕ\nhf : Bijective f\nu : ℕ → α\n⊢ CauchySeq (u ∘ f) ↔ CauchySeq u", "tactic": "refine'...
[ 216, 83 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 212, 1 ]
src/lean/Init/Control/Lawful.lean
ExceptT.ext
[ { "state_after": "m : Type u_1 → Type u_2\nε α : Type u_1\ninst✝ : Monad m\nx y : ExceptT ε m α\nh : x = y\n⊢ x = y", "state_before": "m : Type u_1 → Type u_2\nε α : Type u_1\ninst✝ : Monad m\nx y : ExceptT ε m α\nh : run x = run y\n⊢ x = y", "tactic": "simp [run] at h" }, { "state_after": "no g...
[ 106, 13 ]
d5348dfac847a56a4595fb6230fd0708dcb4e7e9
https://github.com/leanprover/lean4
[ 104, 1 ]
Mathlib/Analysis/NormedSpace/QuaternionExponential.lean
Quaternion.norm_exp
[ { "state_after": "no goals", "state_before": "q : ℍ\n⊢ ‖exp ℝ q‖ = ‖exp ℝ q.re‖", "tactic": "rw [norm_eq_sqrt_real_inner (exp ℝ q), inner_self, normSq_exp, Real.sqrt_sq_eq_abs,\n Real.norm_eq_abs]" } ]
[ 142, 22 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 140, 1 ]
Mathlib/Topology/SubsetProperties.lean
Set.Subsingleton.isCompact
[]
[ 402, 76 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 401, 1 ]
Mathlib/Logic/Equiv/LocalEquiv.lean
LocalEquiv.refl_trans
[ { "state_after": "no goals", "state_before": "α : Type u_1\nβ : Type u_2\nγ : Type ?u.47735\nδ : Type ?u.47738\ne : LocalEquiv α β\ne' : LocalEquiv β γ\n⊢ (LocalEquiv.trans (LocalEquiv.refl α) e).source = e.source", "tactic": "simp [trans_source, preimage_id]" } ]
[ 754, 85 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 753, 1 ]
Mathlib/Algebra/CovariantAndContravariant.lean
act_rel_of_act_rel_of_rel_act_rel
[]
[ 235, 44 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 233, 1 ]
Mathlib/Data/Nat/Squarefree.lean
Nat.squarefree_iff_prime_squarefree
[]
[ 38, 77 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 37, 1 ]
Mathlib/Order/ConditionallyCompleteLattice/Basic.lean
le_ciInf_set_iff
[]
[ 529, 63 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 527, 1 ]
Mathlib/Algebra/Hom/Freiman.lean
MonoidHom.toFreimanHom_injective
[ { "state_after": "no goals", "state_before": "F : Type ?u.80415\nα : Type u_1\nβ : Type u_2\nγ : Type ?u.80424\nδ : Type ?u.80427\nG : Type ?u.80430\ninst✝⁵ : FunLike F α fun x => β\ninst✝⁴ : CommMonoid α\ninst✝³ : CommMonoid β\ninst✝² : CommMonoid γ\ninst✝¹ : CommMonoid δ\ninst✝ : CommGroup G\nA : Set α\nB...
[ 483, 84 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 481, 1 ]
src/lean/Init/Data/Nat/Basic.lean
Nat.pow_succ
[]
[ 474, 6 ]
d5348dfac847a56a4595fb6230fd0708dcb4e7e9
https://github.com/leanprover/lean4
[ 473, 1 ]
Mathlib/RingTheory/Localization/Basic.lean
Localization.monoidOf_eq_algebraMap
[]
[ 1021, 6 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 1020, 1 ]
Mathlib/RingTheory/PowerSeries/WellKnown.lean
PowerSeries.exp_pow_sum
[ { "state_after": "A : Type u_1\ninst✝¹ : CommRing A\ninst✝ : Algebra ℚ A\nn : ℕ\n⊢ (Finset.sum (Finset.range n) fun x =>\n ↑{\n toMonoidHom :=\n {\n toOneHom :=\n { toFun := fun f => mk fun n => ↑x ^ n * ↑(coeff A n) f,\n map_one' :...
[ 209, 45 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 202, 1 ]
Mathlib/LinearAlgebra/SesquilinearForm.lean
LinearMap.isAdjointPair_id
[]
[ 450, 66 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 450, 1 ]
Mathlib/Data/PNat/Defs.lean
PNat.ne_zero
[]
[ 160, 10 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 159, 1 ]
Mathlib/Dynamics/Circle/RotationNumber/TranslationNumber.lean
CircleDeg1Lift.translationNumber_eq_of_dist_bounded
[]
[ 708, 58 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 705, 1 ]
Mathlib/MeasureTheory/Measure/Stieltjes.lean
rightLim_eq_of_tendsto
[]
[ 67, 52 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 64, 1 ]
Mathlib/Algebra/Order/Sub/Defs.lean
AddLECancellable.lt_add_of_tsub_lt_left
[ { "state_after": "α : Type u_1\nβ : Type ?u.38298\ninst✝³ : PartialOrder α\ninst✝² : AddCommSemigroup α\ninst✝¹ : Sub α\ninst✝ : OrderedSub α\na b c d : α\nhb : AddLECancellable b\nh : a - b < c\n⊢ a - b ≤ c ∧ a ≠ b + c", "state_before": "α : Type u_1\nβ : Type ?u.38298\ninst✝³ : PartialOrder α\ninst✝² : Ad...
[ 315, 17 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 311, 11 ]
Mathlib/LinearAlgebra/Prod.lean
Submodule.prod_le_iff
[ { "state_after": "case mp\nR : Type u\nK : Type u'\nM : Type v\nV : Type v'\nM₂ : Type w\nV₂ : Type w'\nM₃ : Type y\nV₃ : Type y'\nM₄ : Type z\nι : Type x\nM₅ : Type ?u.377212\nM₆ : Type ?u.377215\ninst✝⁴ : Semiring R\ninst✝³ : AddCommMonoid M\ninst✝² : AddCommMonoid M₂\ninst✝¹ : Module R M\ninst✝ : Module R M₂...
[ 723, 32 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 705, 1 ]
Mathlib/Topology/SubsetProperties.lean
isPreirreducible_iff_closed_union_closed
[ { "state_after": "α : Type u\nβ : Type v\nι : Type ?u.198320\nπ : ι → Type ?u.198325\ninst✝¹ : TopologicalSpace α\ninst✝ : TopologicalSpace β\ns✝ t s z₁ z₂ : Set α\n⊢ IsOpen (z₁ᶜ) → IsOpen (z₂ᶜ) → Set.Nonempty (s ∩ z₁ᶜ) → Set.Nonempty (s ∩ z₂ᶜ) → Set.Nonempty (s ∩ (z₁ᶜ ∩ z₂ᶜ)) ↔\n IsClosed z₁ → IsClosed z₂ →...
[ 1932, 40 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 1925, 1 ]
Mathlib/Order/Heyting/Basic.lean
IsCompl.eq_compl
[]
[ 864, 88 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 863, 1 ]
Mathlib/Data/Sym/Basic.lean
Sym.exists_mem
[]
[ 299, 62 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 298, 1 ]
Mathlib/Data/MvPolynomial/Basic.lean
MvPolynomial.C_pow
[]
[ 235, 16 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 234, 1 ]
Mathlib/Data/Set/Basic.lean
Set.insert_eq_self
[]
[ 1148, 50 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 1147, 1 ]
Mathlib/Topology/Instances/ENNReal.lean
NNReal.summable_of_le
[]
[ 1120, 16 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 1117, 1 ]
Mathlib/RingTheory/FractionalIdeal.lean
FractionalIdeal.coe_add
[]
[ 481, 6 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 480, 1 ]
Mathlib/Algebra/Lie/SkewAdjoint.lean
Matrix.lie_transpose
[ { "state_after": "no goals", "state_before": "R : Type u\nn : Type w\ninst✝² : CommRing R\ninst✝¹ : DecidableEq n\ninst✝ : Fintype n\nJ A B : Matrix n n R\n⊢ (A * B - B * A)ᵀ = Bᵀ * Aᵀ - Aᵀ * Bᵀ", "tactic": "simp" } ]
[ 102, 52 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 101, 1 ]
Mathlib/Data/Complex/Basic.lean
Complex.AbsTheory.abs_conj
[ { "state_after": "no goals", "state_before": "z : ℂ\n⊢ Real.sqrt (↑normSq (↑(starRingEnd ℂ) z)) = Real.sqrt (↑normSq z)", "tactic": "simp" } ]
[ 913, 59 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 913, 1 ]
Mathlib/Combinatorics/Additive/SalemSpencer.lean
MulSalemSpencer.mul_left
[ { "state_after": "case intro.intro.intro.intro.intro.intro\nF : Type ?u.77288\nα : Type u_1\nβ : Type ?u.77294\n𝕜 : Type ?u.77297\nE : Type ?u.77300\ninst✝ : CancelCommMonoid α\ns : Set α\na : α\nhs : MulSalemSpencer s\nb : α\nhb : b ∈ s\nc : α\nhc : c ∈ s\nd : α\nhd : d ∈ s\nh : (fun x x_1 => x * x_1) a b * (...
[ 183, 39 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 180, 1 ]
src/lean/Init/SimpLemmas.lean
bne_self_eq_false
[ { "state_after": "no goals", "state_before": "α : Type u_1\ninst✝¹ : BEq α\ninst✝ : LawfulBEq α\na : α\n⊢ (a != a) = false", "tactic": "simp [bne]" } ]
[ 151, 100 ]
d5348dfac847a56a4595fb6230fd0708dcb4e7e9
https://github.com/leanprover/lean4
[ 151, 9 ]
Mathlib/Topology/SubsetProperties.lean
isCompact_iUnion
[]
[ 433, 60 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 431, 1 ]
Mathlib/SetTheory/Ordinal/Principal.lean
Ordinal.mul_lt_omega_opow
[ { "state_after": "case inl\na b : Ordinal\nhb : b < ω\nc0 : 0 < 0\nha : a < ω ^ 0\n⊢ a * b < ω ^ 0\n\ncase inr.inl.intro\na b : Ordinal\nhb : b < ω\nc : Ordinal\nc0 : 0 < succ c\nha : a < ω ^ succ c\n⊢ a * b < ω ^ succ c\n\ncase inr.inr\na b c : Ordinal\nc0 : 0 < c\nha : a < ω ^ c\nhb : b < ω\nl : IsLimit c\n⊢ ...
[ 363, 19 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 351, 1 ]
Mathlib/RingTheory/Localization/NumDen.lean
IsFractionRing.exists_reduced_fraction
[ { "state_after": "case intro.mk.intro\nR : Type ?u.2417\ninst✝⁹ : CommRing R\nM : Submonoid R\nS : Type ?u.2623\ninst✝⁸ : CommRing S\ninst✝⁷ : Algebra R S\nP : Type ?u.2877\ninst✝⁶ : CommRing P\nA : Type u_1\ninst✝⁵ : CommRing A\ninst✝⁴ : IsDomain A\ninst✝³ : UniqueFactorizationMonoid A\nK : Type u_2\ninst✝² : ...
[ 52, 58 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 42, 1 ]
Mathlib/SetTheory/Ordinal/NaturalOps.lean
Ordinal.nadd_lt_nadd_right
[]
[ 231, 40 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 230, 1 ]
Mathlib/Topology/Separation.lean
nhds_basis_clopen
[ { "state_after": "case mp\nα : Type u\nβ : Type v\ninst✝³ : TopologicalSpace α\ninst✝² : T2Space α\ninst✝¹ : CompactSpace α\ninst✝ : TotallyDisconnectedSpace α\nx : α\nU : Set α\n⊢ U ∈ 𝓝 x → ∃ i, (x ∈ i ∧ IsClopen i) ∧ id i ⊆ U\n\ncase mpr\nα : Type u\nβ : Type v\ninst✝³ : TopologicalSpace α\ninst✝² : T2Space ...
[ 1975, 33 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 1954, 1 ]
Mathlib/GroupTheory/Subgroup/Pointwise.lean
Subgroup.smul_mem_pointwise_smul
[]
[ 291, 52 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 290, 1 ]
Mathlib/RingTheory/Polynomial/Basic.lean
MvPolynomial.isNoetherianRing_fin_0
[ { "state_after": "case f\nR : Type u\nS : Type ?u.780222\nσ : Type v\nM : Type w\ninst✝⁴ : CommRing R\ninst✝³ : CommRing S\ninst✝² : AddCommGroup M\ninst✝¹ : Module R M\ninst✝ : IsNoetherianRing R\n⊢ R ≃+* MvPolynomial (Fin 0) R", "state_before": "R : Type u\nS : Type ?u.780222\nσ : Type v\nM : Type w\ninst...
[ 1064, 54 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 1061, 1 ]
Mathlib/Algebra/BigOperators/Order.lean
WithTop.sum_lt_top
[]
[ 733, 68 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 731, 1 ]
Mathlib/Topology/UniformSpace/CompleteSeparated.lean
IsComplete.isClosed
[ { "state_after": "α : Type u_1\ninst✝¹ : UniformSpace α\ninst✝ : SeparatedSpace α\ns : Set α\nh : IsComplete s\na : α\nha : ClusterPt a (𝓟 s)\nf : Filter α := 𝓝[s] a\n⊢ a ∈ s", "state_before": "α : Type u_1\ninst✝¹ : UniformSpace α\ninst✝ : SeparatedSpace α\ns : Set α\nh : IsComplete s\na : α\nha : Cluste...
[ 35, 59 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 29, 1 ]
Mathlib/Data/Finset/Basic.lean
Finset.update_piecewise_of_not_mem
[ { "state_after": "α : Type u_1\nβ : Type ?u.308822\nγ : Type ?u.308825\nδ : α → Sort u_2\ns : Finset α\nf g : (i : α) → δ i\ninst✝¹ : (j : α) → Decidable (j ∈ s)\ninst✝ : DecidableEq α\ni : α\nhi : ¬i ∈ s\nv : δ i\n⊢ piecewise s (update f i v) (update g i v) = piecewise s f (update g i v)", "state_before": ...
[ 2554, 29 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 2550, 1 ]
Mathlib/Analysis/Asymptotics/Asymptotics.lean
Asymptotics.IsBigOWith.weaken
[ { "state_after": "no goals", "state_before": "α : Type u_1\nβ : Type ?u.29021\nE : Type u_2\nF : Type ?u.29027\nG : Type ?u.29030\nE' : Type ?u.29033\nF' : Type u_3\nG' : Type ?u.29039\nE'' : Type ?u.29042\nF'' : Type ?u.29045\nG'' : Type ?u.29048\nR : Type ?u.29051\nR' : Type ?u.29054\n𝕜 : Type ?u.29057\n...
[ 199, 27 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 194, 1 ]
Mathlib/Data/Nat/Hyperoperation.lean
hyperoperation_two_two_eq_four
[ { "state_after": "case zero\n\n⊢ hyperoperation (Nat.zero + 1) 2 2 = 4\n\ncase succ\nnn : ℕ\nnih : hyperoperation (nn + 1) 2 2 = 4\n⊢ hyperoperation (Nat.succ nn + 1) 2 2 = 4", "state_before": "n : ℕ\n⊢ hyperoperation (n + 1) 2 2 = 4", "tactic": "induction' n with nn nih" }, { "state_after": "no...
[ 106, 70 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 103, 1 ]
Mathlib/MeasureTheory/Constructions/Pi.lean
MeasureTheory.Measure.pi_Ico_ae_eq_pi_Icc
[]
[ 536, 40 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 534, 1 ]
Mathlib/MeasureTheory/Integral/SetToL1.lean
MeasureTheory.L1.SimpleFunc.setToL1S_mono
[ { "state_after": "α : Type u_1\nE : Type ?u.748247\nF : Type ?u.748250\nF' : Type ?u.748253\nG : Type ?u.748256\n𝕜 : Type ?u.748259\np : ℝ≥0∞\ninst✝¹² : NormedAddCommGroup E\ninst✝¹¹ : NormedSpace ℝ E\ninst✝¹⁰ : NormedAddCommGroup F\ninst✝⁹ : NormedSpace ℝ F\ninst✝⁸ : NormedAddCommGroup F'\ninst✝⁷ : NormedSpac...
[ 864, 51 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 858, 1 ]
Mathlib/Data/Finsupp/AList.lean
AList.lookupFinsupp_support
[ { "state_after": "α : Type u_1\nM : Type u_2\ninst✝² : Zero M\ninst✝¹ : DecidableEq α\ninst✝ : DecidableEq M\nl : AList fun _x => M\n⊢ toFinset (List.keys (filter (fun x => decide ¬x.snd = 0) l.entries)) =\n toFinset (List.keys (filter (fun x => decide ¬x.snd = 0) l.entries))", "state_before": "α : Type ...
[ 92, 22 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 87, 1 ]
Mathlib/Analysis/SpecialFunctions/Stirling.lean
Stirling.stirlingSeq_one
[ { "state_after": "no goals", "state_before": "⊢ stirlingSeq 1 = exp 1 / Real.sqrt 2", "tactic": "rw [stirlingSeq, pow_one, factorial_one, cast_one, mul_one, mul_one_div, one_div_div]" } ]
[ 67, 88 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 66, 1 ]