file_path stringlengths 11 79 | full_name stringlengths 2 100 | traced_tactics list | end list | commit stringclasses 4
values | url stringclasses 4
values | start list |
|---|---|---|---|---|---|---|
Mathlib/SetTheory/Ordinal/Arithmetic.lean | Ordinal.not_succ_isLimit | [] | [
253,
44
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
252,
1
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Mathlib/Algebra/Module/Basic.lean | nat_smul_eq_nsmul | [
{
"state_after": "α : Type ?u.134610\nR : Type ?u.134613\nk : Type ?u.134616\nS : Type ?u.134619\nM : Type u_1\nM₂ : Type ?u.134625\nM₃ : Type ?u.134628\nι : Type ?u.134631\ninst✝² : Semiring R\ninst✝¹ : AddCommMonoid M\ninst✝ : Module R M\nh : Module ℕ M\nn : ℕ\nx : M\n⊢ SMul.smul n x = n • x",
"state_befo... | [
404,
94
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
403,
1
] |
Mathlib/Data/Real/Sqrt.lean | NNReal.sqrt_pos | [
{
"state_after": "no goals",
"state_before": "x y : ℝ≥0\n⊢ 0 < ↑sqrt x ↔ 0 < x",
"tactic": "simp [pos_iff_ne_zero]"
}
] | [
128,
75
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
128,
9
] |
Mathlib/ModelTheory/Semantics.lean | FirstOrder.Language.Relations.realize_transitive | [] | [
1024,
90
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1021,
1
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Mathlib/Data/Set/Intervals/Basic.lean | Set.Iic_prod_Iic | [] | [
1883,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1882,
1
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Mathlib/RingTheory/Polynomial/Basic.lean | Polynomial.mem_degreeLT | [
{
"state_after": "R : Type u\nS : Type ?u.11734\ninst✝ : Semiring R\nn : ℕ\nf : R[X]\n⊢ (∀ (i : ℕ), f ∈ ⨅ (_ : i ≥ n), LinearMap.ker (lcoeff R i)) ↔ degree f < ↑n",
"state_before": "R : Type u\nS : Type ?u.11734\ninst✝ : Semiring R\nn : ℕ\nf : R[X]\n⊢ f ∈ degreeLT R n ↔ degree f < ↑n",
"tactic": "rw [de... | [
108,
78
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
98,
1
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Mathlib/Analysis/Normed/Order/UpperLower.lean | IsUpperSet.exists_subset_ball | [
{
"state_after": "case refine'_1\nα : Type ?u.9777\nι : Type u_1\ninst✝ : Fintype ι\ns : Set (ι → ℝ)\nx y : ι → ℝ\nδ : ℝ\nhs : IsUpperSet s\nhx : x ∈ closure s\nhδ : 0 < δ\n⊢ δ / 4 + dist (x + const ι (3 / 4 * δ)) x ≤ δ\n\ncase refine'_2\nα : Type ?u.9777\nι : Type u_1\ninst✝ : Fintype ι\ns : Set (ι → ℝ)\nx y :... | [
136,
11
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
120,
1
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Mathlib/Data/Option/Basic.lean | Option.pbind_eq_none | [
{
"state_after": "case none\nα : Type u_1\nβ : Type u_2\nγ : Type ?u.11082\nδ : Type ?u.11085\np : α → Prop\nf✝ : (a : α) → p a → β\nf : (a : α) → a ∈ none → Option β\nh' : ∀ (a : α) (H : a ∈ none), f a H = none → none = none\n⊢ pbind none f = none ↔ none = none\n\ncase some\nα : Type u_1\nβ : Type u_2\nγ : Typ... | [
219,
21
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
213,
1
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Mathlib/FieldTheory/RatFunc.lean | RatFunc.ofFractionRing_sub | [
{
"state_after": "no goals",
"state_before": "K : Type u\ninst✝ : CommRing K\np q : FractionRing K[X]\n⊢ { toFractionRing := p - q } = { toFractionRing := p } - { toFractionRing := q }",
"tactic": "simp only [Sub.sub, HSub.hSub, RatFunc.sub]"
}
] | [
344,
46
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
342,
1
] |
Mathlib/Analysis/NormedSpace/LinearIsometry.lean | LinearIsometryEquiv.norm_map | [] | [
604,
16
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
603,
1
] |
Mathlib/Computability/Halting.lean | Partrec.dom_re | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\nβ : Type u_2\ninst✝¹ : Primcodable α\ninst✝ : Primcodable β\nf : α →. β\nh : Partrec f\nn : α\nx✝ : Unit\n⊢ x✝ ∈ Part.map (fun b => ()) (f n) ↔ x✝ ∈ Part.assert ((fun a => (f a).Dom) n) fun x => Part.some ()",
"tactic": "simp [Part.dom_iff_mem]... | [
157,
96
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
155,
1
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Mathlib/Topology/Category/Profinite/Basic.lean | CompHaus.toProfinite_obj' | [] | [
223,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
221,
1
] |
Mathlib/Order/Ideal.lean | Order.Ideal.mem_sup | [] | [
423,
10
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
422,
1
] |
Mathlib/LinearAlgebra/Alternating.lean | AlternatingMap.domDomCongr_trans | [] | [
745,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
743,
1
] |
Mathlib/Data/Finset/Pointwise.lean | Finset.mul_nonempty | [] | [
374,
22
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
373,
1
] |
Mathlib/ModelTheory/Definability.lean | Set.definable_finset_biUnion | [
{
"state_after": "M : Type w\nA : Set M\nL : Language\ninst✝ : Structure L M\nα : Type u₁\nβ : Type ?u.15580\nB : Set M\ns✝ : Set (α → M)\nι : Type u_1\nf : ι → Set (α → M)\nhf : ∀ (i : ι), Definable A L (f i)\ns : Finset ι\n⊢ Definable A L (Finset.sup s fun i => f i)",
"state_before": "M : Type w\nA : Set ... | [
137,
34
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
134,
1
] |
Mathlib/Order/SymmDiff.lean | symmDiff_left_injective | [] | [
518,
61
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
517,
1
] |
Mathlib/Logic/Equiv/Fin.lean | finSuccEquiv_succ | [] | [
206,
38
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
205,
1
] |
Mathlib/Algebra/Periodic.lean | Function.Antiperiodic.const_smul | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\nβ : Type u_2\nγ : Type u_3\nf g : α → β\nc c₁ c₂ x✝ : α\ninst✝³ : AddMonoid α\ninst✝² : Neg β\ninst✝¹ : Group γ\ninst✝ : DistribMulAction γ α\nh : Antiperiodic f c\na : γ\nx : α\n⊢ (fun x => f (a • x)) (x + a⁻¹ • c) = -(fun x => f (a • x)) x",
... | [
460,
55
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
458,
1
] |
Mathlib/Algebra/TrivSqZeroExt.lean | TrivSqZeroExt.algHom_ext' | [] | [
796,
38
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
794,
1
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Mathlib/Data/Nat/PSub.lean | Nat.ppred_succ | [] | [
42,
52
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
42,
1
] |
Mathlib/Algebra/Module/LocalizedModule.lean | IsLocalizedModule.mk'_neg | [
{
"state_after": "R : Type u_3\ninst✝¹² : CommRing R\nS : Submonoid R\nM✝ : Type ?u.858600\nM'✝ : Type ?u.858603\nM'' : Type ?u.858606\ninst✝¹¹ : AddCommMonoid M✝\ninst✝¹⁰ : AddCommMonoid M'✝\ninst✝⁹ : AddCommMonoid M''\ninst✝⁸ : Module R M✝\ninst✝⁷ : Module R M'✝\ninst✝⁶ : Module R M''\nf✝ : M✝ →ₗ[R] M'✝\ng : ... | [
986,
39
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
983,
1
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Mathlib/Analysis/SpecialFunctions/Log/Basic.lean | Real.continuous_log' | [] | [
317,
90
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
316,
1
] |
Mathlib/Data/Int/ModEq.lean | Int.modEq_add_fac | [
{
"state_after": "no goals",
"state_before": "m n✝ a✝ b✝ c✝ d a b n c : ℤ\nha : a ≡ b [ZMOD n]\n⊢ b + 0 ≡ b [ZMOD n]",
"tactic": "rw [add_zero]"
}
] | [
289,
39
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
285,
1
] |
Mathlib/NumberTheory/Liouville/LiouvilleNumber.lean | LiouvilleNumber.partialSum_add_remainder | [] | [
104,
55
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
102,
1
] |
Mathlib/Analysis/Convex/Cone/Basic.lean | ConvexCone.coe_top | [] | [
191,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
190,
1
] |
Mathlib/Topology/Algebra/Valuation.lean | Valuation.subgroups_basis | [
{
"state_after": "R : Type u\ninst✝¹ : Ring R\nΓ₀ : Type v\ninst✝ : LinearOrderedCommGroupWithZero Γ₀\nv : Valuation R Γ₀\nγ₀ γ₁ : Γ₀ˣ\n⊢ ∃ k, ltAddSubgroup v k ≤ ltAddSubgroup v γ₀ ⊓ ltAddSubgroup v γ₁",
"state_before": "R : Type u\ninst✝¹ : Ring R\nΓ₀ : Type v\ninst✝ : LinearOrderedCommGroupWithZero Γ₀\nv... | [
82,
50
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
39,
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Mathlib/Topology/MetricSpace/Basic.lean | MetricSpace.replaceUniformity_eq | [
{
"state_after": "case h.dist.h.h\nα : Type u\nβ : Type v\nX : Type ?u.562313\nι : Type ?u.562316\ninst✝¹ : PseudoMetricSpace α\nγ✝ : Type w\ninst✝ : MetricSpace γ✝\nγ : Type u_1\nU : UniformSpace γ\nm : MetricSpace γ\nH : 𝓤 γ = 𝓤 γ\nx✝¹ x✝ : γ\n⊢ dist x✝¹ x✝ = dist x✝¹ x✝",
"state_before": "α : Type u\nβ... | [
2977,
11
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2975,
1
] |
Mathlib/Data/Subtype.lean | Subtype.coe_injective | [] | [
122,
91
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
122,
1
] |
Mathlib/Algebra/Order/AbsoluteValue.lean | IsAbsoluteValue.abs_abv_sub_le_abv_sub | [] | [
442,
51
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
441,
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] |
Mathlib/Analysis/SpecialFunctions/PolarCoord.lean | integral_comp_polarCoord_symm | [
{
"state_after": "E : Type u_1\ninst✝² : NormedAddCommGroup E\ninst✝¹ : NormedSpace ℝ E\ninst✝ : CompleteSpace E\nf : ℝ × ℝ → E\nB : ℝ × ℝ → ℝ × ℝ →L[ℝ] ℝ × ℝ :=\n fun p =>\n ↑LinearMap.toContinuousLinearMap\n (↑(Matrix.toLin (Basis.finTwoProd ℝ) (Basis.finTwoProd ℝ))\n (↑Matrix.of ![![cos p.snd... | [
158,
17
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
133,
1
] |
Mathlib/Logic/Equiv/Option.lean | Equiv.optionCongr_eq_equivFunctor_mapEquiv | [] | [
66,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
64,
1
] |
Mathlib/LinearAlgebra/Basis.lean | Basis.equivFun_ofEquivFun | [
{
"state_after": "case h.h\nι : Type u_3\nι' : Type ?u.700635\nR : Type u_1\nR₂ : Type ?u.700641\nK : Type ?u.700644\nM : Type u_2\nM' : Type ?u.700650\nM'' : Type ?u.700653\nV : Type u\nV' : Type ?u.700658\ninst✝⁵ : Semiring R\ninst✝⁴ : AddCommMonoid M\ninst✝³ : Module R M\ninst✝² : AddCommMonoid M'\ninst✝¹ : ... | [
986,
62
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
984,
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Mathlib/Control/Traversable/Instances.lean | Sum.comp_traverse | [
{
"state_after": "no goals",
"state_before": "σ : Type u\nF G : Type u → Type u\ninst✝³ : Applicative F\ninst✝² : Applicative G\ninst✝¹ : LawfulApplicative F\ninst✝ : LawfulApplicative G\nα β γ : Type u\nf : β → F γ\ng : α → G β\nx : σ ⊕ α\n⊢ Sum.traverse (Comp.mk ∘ (fun x x_1 => x <$> x_1) f ∘ g) x = Comp.... | [
174,
65
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
171,
11
] |
Mathlib/Topology/LocallyConstant/Basic.lean | IsLocallyConstant.iff_isOpen_fiber_apply | [] | [
107,
37
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
106,
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Mathlib/Topology/Algebra/UniformGroup.lean | uniformContinuous_of_tendsto_one | [
{
"state_after": "α : Type u_3\nβ : Type u_2\ninst✝⁶ : UniformSpace α\ninst✝⁵ : Group α\ninst✝⁴ : UniformGroup α\nhom : Type u_1\ninst✝³ : UniformSpace β\ninst✝² : Group β\ninst✝¹ : UniformGroup β\ninst✝ : MonoidHomClass hom α β\nf : hom\nh : Tendsto (↑f) (𝓝 1) (𝓝 1)\nthis : ((fun x => x.snd / x.fst) ∘ fun x ... | [
391,
37
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
384,
1
] |
Mathlib/Topology/Algebra/UniformGroup.lean | TendstoUniformly.mul | [] | [
512,
82
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
510,
1
] |
Std/Data/List/Lemmas.lean | List.subset_def | [] | [
229,
83
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
229,
1
] |
Mathlib/Algebra/Hom/Iterate.lean | RingHom.iterate_map_zero | [] | [
136,
38
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
135,
1
] |
Mathlib/Topology/Algebra/Order/LiminfLimsup.lean | isBounded_ge_atTop | [] | [
118,
25
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
116,
1
] |
Mathlib/Data/Fintype/Basic.lean | Finset.toFinset_coe | [] | [
804,
32
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
803,
1
] |
Mathlib/Data/Set/Intervals/Basic.lean | Set.not_mem_Icc_of_lt | [] | [
718,
79
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
718,
1
] |
Mathlib/Order/Antichain.lean | IsLeast.antichain_iff | [] | [
245,
57
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
244,
1
] |
Mathlib/Data/Num/Bitwise.lean | SNum.bit_zero | [
{
"state_after": "no goals",
"state_before": "b : Bool\n⊢ (b::zero b) = zero b",
"tactic": "cases b <;> rfl"
}
] | [
331,
75
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
331,
1
] |
Mathlib/Topology/UniformSpace/Cauchy.lean | isComplete_iff_clusterPt | [] | [
322,
34
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
319,
1
] |
Mathlib/Data/Set/Image.lean | Set.range_inl_union_range_inr | [] | [
899,
41
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
898,
1
] |
Mathlib/Order/SuccPred/Basic.lean | Order.succ_eq_iff_isMax | [] | [
405,
67
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
404,
1
] |
Mathlib/MeasureTheory/Measure/MeasureSpace.lean | MeasureTheory.nonempty_inter_of_measure_lt_add | [
{
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435,
51
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
428,
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Mathlib/Data/Bool/Basic.lean | Bool.or_le | [
{
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"state_before": "⊢ ∀ {x y z : Bool}, x ≤ z → y ≤ z → (x || y) ≤ z",
"tactic": "decide"
}
] | [
370,
69
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
370,
1
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Mathlib/RingTheory/IsTensorProduct.lean | IsBaseChange.comp | [
{
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360,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
338,
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Mathlib/Topology/UniformSpace/Basic.lean | lift_nhds_right | [
{
"state_after": "α : Type ua\nβ : Type ub\nγ : Type uc\nδ : Type ud\nι : Sort ?u.77892\ninst✝ : UniformSpace α\nx : α\ng : Set α → Filter β\nhg : Monotone g\n⊢ Filter.lift (𝓤 α) (g ∘ preimage fun y => (y, x)) = Filter.lift (𝓤 α) fun s => g {y | (y, x) ∈ s}",
"state_before": "α : Type ua\nβ : Type ub\nγ :... | [
876,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
873,
1
] |
Mathlib/Data/Polynomial/Eval.lean | Polynomial.isRoot_prod | [
{
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Mathlib/Algebra/Quaternion.lean | QuaternionAlgebra.self_add_star | [
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Mathlib/Topology/MetricSpace/HausdorffDistance.lean | IsCompact.cthickening_eq_biUnion_closedBall | [
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Mathlib/Data/Multiset/Basic.lean | Multiset.Rel.countp_eq | [
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Mathlib/Topology/Sets/Order.lean | ClopenUpperSet.upper | [] | [
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Mathlib/Algebra/Hom/Group.lean | MulHom.cancel_left | [
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Mathlib/RingTheory/Adjoin/PowerBasis.lean | PowerBasis.repr_pow_isIntegral | [
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Mathlib/Algebra/Order/Ring/Canonical.lean | mul_add_mul_lt_mul_add_mul' | [
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Mathlib/Order/Category/LinOrdCat.lean | LinOrdCat.coe_of | [] | [
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Mathlib/Computability/Partrec.lean | Partrec.of_eq | [] | [
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Mathlib/Analysis/SpecialFunctions/Pow/Continuity.lean | ContinuousAt.cpow | [] | [
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Mathlib/Data/Seq/Computation.lean | Computation.bind_pure | [
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Mathlib/Analysis/BoxIntegral/Basic.lean | BoxIntegral.hasIntegral_zero | [
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Mathlib/Probability/ProbabilityMassFunction/Monad.lean | Pmf.bindOnSupport_pure | [
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Mathlib/Topology/LocalHomeomorph.lean | LocalHomeomorph.eqOnSource_iff | [] | [
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Mathlib/Data/MvPolynomial/Variables.lean | MvPolynomial.totalDegree_monomial | [
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Mathlib/CategoryTheory/Limits/Shapes/Pullbacks.lean | CategoryTheory.Limits.pullbackConeOfRightIso_π_app_right | [] | [
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Mathlib/Analysis/SpecialFunctions/Trigonometric/Basic.lean | Real.cos_pi | [
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{
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Mathlib/Topology/Homotopy/Basic.lean | ContinuousMap.Homotopy.apply_zero | [] | [
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Mathlib/Algebra/Algebra/Basic.lean | intCast_smul | [] | [
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Mathlib/Algebra/Associated.lean | of_irreducible_mul | [] | [
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Mathlib/CategoryTheory/Limits/Shapes/Equalizers.lean | CategoryTheory.Limits.parallelPairHom_app_zero | [] | [
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Mathlib/Data/MvPolynomial/Rename.lean | MvPolynomial.exists_fin_rename | [
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Mathlib/Data/Complex/Exponential.lean | Real.sin_le_one | [] | [
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Mathlib/Analysis/Calculus/ContDiff.lean | ContinuousLinearEquiv.comp_contDiff_iff | [
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Mathlib/LinearAlgebra/AnnihilatingPolynomial.lean | Polynomial.mem_annIdeal_iff_aeval_eq_zero | [] | [
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Mathlib/Data/MvPolynomial/Monad.lean | MvPolynomial.bind₁_id | [] | [
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Mathlib/Analysis/Convex/Jensen.lean | inf_le_of_mem_convexHull | [] | [
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Mathlib/MeasureTheory/Function/LpSpace.lean | LipschitzWith.memℒp_comp_iff_of_antilipschitz | [] | [
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Mathlib/Computability/Language.lean | Language.one_add_self_mul_kstar_eq_kstar | [
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Mathlib/Algebra/CubicDiscriminant.lean | Cubic.of_d_eq_zero' | [] | [
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Mathlib/Data/Set/Basic.lean | Set.subsingleton_of_subset_singleton | [] | [
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Mathlib/Data/Fintype/Basic.lean | Set.toFinset_subset | [
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Mathlib/MeasureTheory/Integral/Bochner.lean | MeasureTheory.ofReal_integral_norm_eq_lintegral_nnnorm | [
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Mathlib/Algebra/GroupWithZero/Basic.lean | zero_div | [
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Mathlib/Topology/MetricSpace/EMetricSpace.lean | EMetric.isOpen_ball | [] | [
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Mathlib/Order/Filter/AtTopBot.lean | Filter.tendsto_atTop_atTop_iff_of_monotone | [] | [
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Mathlib/Data/Multiset/Basic.lean | Multiset.subset_of_le | [] | [
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Mathlib/Data/Polynomial/Degree/Definitions.lean | Polynomial.degree_update_le | [
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Mathlib/Data/Real/CauSeq.lean | CauSeq.const_zero | [] | [
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Mathlib/Data/Set/Pointwise/Interval.lean | Set.image_mul_right_Icc | [
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Mathlib/Topology/Instances/AddCircle.lean | AddCircle.liftIco_coe_apply | [
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Std/Data/Int/Lemmas.lean | Int.add_lt_add | [] | [
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Mathlib/CategoryTheory/Bicategory/Free.lean | CategoryTheory.FreeBicategory.liftHom_id | [] | [
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Std/Data/List/Lemmas.lean | List.bind_map | [
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Mathlib/Data/Multiset/Basic.lean | Multiset.countp_zero | [] | [
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Mathlib/Data/Finset/Pointwise.lean | Finset.Nonempty.div_zero | [
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1
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Mathlib/Data/Sym/Basic.lean | Sym.erase_mk | [
{
"state_after": "α : Type ?u.16480\nβ : Type ?u.16483\nn n' m✝ : ℕ\ns : Sym α n\na✝ b : α\ninst✝ : DecidableEq α\nm : Multiset α\nhc : ↑Multiset.card m = n + 1\na : α\nh : a ∈ m\n⊢ Nat.pred (n + 1) = n",
"state_before": "α : Type ?u.16480\nβ : Type ?u.16483\nn n' m✝ : ℕ\ns : Sym α n\na✝ b : α\ninst✝ : Deci... | [
214,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
210,
1
] |
Mathlib/Algebra/Order/Interval.lean | NonemptyInterval.snd_sub | [] | [
363,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
362,
1
] |
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