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/Analysis/Convex/Side.lean | AffineSubspace.SOppSide.nonempty | [] | [
161,
39
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
159,
1
] |
Mathlib/Data/Set/Pointwise/Basic.lean | Set.image2_div | [] | [
598,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
597,
1
] |
Mathlib/Analysis/NormedSpace/PiLp.lean | PiLp.norm_eq_of_nat | [
{
"state_after": "p✝ : ℝ≥0∞\n𝕜 : Type ?u.242156\n𝕜' : Type ?u.242159\nι : Type u_2\nα : ι → Type ?u.242167\nβ✝ : ι → Type ?u.242172\ninst✝³ : Fintype ι\ninst✝² : Fact (1 ≤ p✝)\np : ℝ≥0∞\ninst✝¹ : Fact (1 ≤ p)\nβ : ι → Type u_1\ninst✝ : (i : ι) → SeminormedAddCommGroup (β i)\nn : ℕ\nh : p = ↑n\nf : PiLp p β\nt... | [
578,
22
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
573,
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Mathlib/Data/Polynomial/RingDivision.lean | Multiset.prod_X_sub_C_dvd_iff_le_roots | [
{
"state_after": "R : Type u\nS : Type v\nT : Type w\na b : R\nn : ℕ\ninst✝¹ : CommRing R\ninst✝ : IsDomain R\np✝ q p : R[X]\nhp : p ≠ 0\ns : Multiset R\nh : Multiset.prod (Multiset.map (fun a => X - ↑C a) s) ∣ p\nr : R\n⊢ Multiset.prod (Multiset.map (fun a => X - ↑C a) (Multiset.filter (Eq r) s)) ∣ p",
"st... | [
1096,
95
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1088,
1
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Mathlib/Order/Bounds/Basic.lean | BddAbove.inter_of_right | [] | [
400,
35
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
399,
1
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Mathlib/ModelTheory/Semantics.lean | FirstOrder.Language.Relations.realize_total | [] | [
1030,
82
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1028,
1
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Mathlib/SetTheory/Ordinal/Arithmetic.lean | Ordinal.mex_le_of_ne | [
{
"state_after": "no goals",
"state_before": "α : Type ?u.376135\nβ : Type ?u.376138\nγ : Type ?u.376141\nr : α → α → Prop\ns : β → β → Prop\nt : γ → γ → Prop\nι : Type u_1\nf : ι → Ordinal\na : Ordinal\nha : ∀ (i : ι), f i ≠ a\n⊢ a ∈ range fᶜ",
"tactic": "simp [ha]"
}
] | [
2026,
27
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2025,
1
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Mathlib/Data/Finset/Pointwise.lean | Finset.mem_inv | [] | [
211,
12
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
210,
1
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Mathlib/Computability/Partrec.lean | Partrec.sum_casesOn_right | [
{
"state_after": "no goals",
"state_before": "α : Type u_4\nβ : Type u_1\nγ : Type u_2\nσ : Type u_3\ninst✝³ : Primcodable α\ninst✝² : Primcodable β\ninst✝¹ : Primcodable γ\ninst✝ : Primcodable σ\nf : α → β ⊕ γ\ng : α → β → σ\nh : α → γ →. σ\nhf : Computable f\nhg : Computable₂ g\nhh : Partrec₂ h\nthis :\n ... | [
803,
65
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
789,
1
] |
Mathlib/Data/Finset/Lattice.lean | Finset.max'_eq_sup' | [] | [
1382,
78
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1381,
1
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Mathlib/Algebra/MonoidAlgebra/Support.lean | MonoidAlgebra.support_mul_single_eq_image | [
{
"state_after": "k : Type u₁\nG : Type u₂\ninst✝² : Semiring k\ninst✝¹ : DecidableEq G\ninst✝ : Mul G\nf : MonoidAlgebra k G\nr : k\nhr : ∀ (y : k), y * r = 0 ↔ y = 0\nx : G\nrx : IsRightRegular x\ny : G\nhy : y ∈ image (fun x_1 => x_1 * x) f.support\n⊢ y ∈ (f * single x r).support",
"state_before": "k : T... | [
75,
98
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
68,
1
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Mathlib/Algebra/CharP/Basic.lean | frobenius_mul | [] | [
360,
30
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
359,
1
] |
Mathlib/Topology/UniformSpace/Basic.lean | UniformSpace.mem_closure_iff_ball | [
{
"state_after": "no goals",
"state_before": "α : Type ua\nβ : Type ub\nγ : Type uc\nδ : Type ud\nι : Sort ?u.68219\ninst✝ : UniformSpace α\ns : Set α\nx : α\n⊢ x ∈ closure s ↔ ∀ {V : Set (α × α)}, V ∈ 𝓤 α → Set.Nonempty (ball x V ∩ s)",
"tactic": "simp [mem_closure_iff_nhds_basis' (nhds_basis_uniformi... | [
775,
79
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
773,
1
] |
Mathlib/FieldTheory/Subfield.lean | Subfield.closure_union | [] | [
776,
27
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
775,
1
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Mathlib/Data/Real/ENNReal.lean | ENNReal.sub_ne_top | [] | [
1115,
86
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1115,
1
] |
Mathlib/RingTheory/PowerSeries/WellKnown.lean | PowerSeries.coeff_cos_bit0 | [
{
"state_after": "no goals",
"state_before": "A : Type u_1\nA' : Type ?u.368339\ninst✝⁷ : Ring A\ninst✝⁶ : Ring A'\ninst✝⁵ : Algebra ℚ A\ninst✝⁴ : Algebra ℚ A'\ninst✝³ : Ring A\ninst✝² : Ring A'\ninst✝¹ : Algebra ℚ A\ninst✝ : Algebra ℚ A'\nn : ℕ\nf : A →+* A'\n⊢ ↑(coeff A (bit0 n)) (cos A) = (-1) ^ n * ↑(co... | [
123,
33
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
121,
1
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Mathlib/Topology/Instances/NNReal.lean | NNReal.summable_mk | [] | [
178,
55
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
176,
1
] |
Mathlib/Data/List/BigOperators/Basic.lean | List.exists_lt_of_prod_lt' | [
{
"state_after": "ι : Type u_2\nα : Type ?u.97864\nM : Type u_1\nN : Type ?u.97870\nP : Type ?u.97873\nM₀ : Type ?u.97876\nG : Type ?u.97879\nR : Type ?u.97882\ninst✝⁵ : Monoid M\ninst✝⁴ : Monoid N\ninst✝³ : Monoid P\nl✝ l₁ l₂ : List M\na : M\ninst✝² : LinearOrder M\ninst✝¹ : CovariantClass M M (Function.swap f... | [
349,
24
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
345,
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Mathlib/Topology/Basic.lean | frontier_eq_inter_compl_interior | [
{
"state_after": "α : Type u\nβ : Type v\nι : Sort w\na : α\ns✝ s₁ s₂ t : Set α\np p₁ p₂ : α → Prop\ninst✝ : TopologicalSpace α\ns : Set α\n⊢ frontier (sᶜ) = closure (sᶜ) ∩ interior (sᶜ)ᶜ",
"state_before": "α : Type u\nβ : Type v\nι : Sort w\na : α\ns✝ s₁ s₂ t : Set α\np p₁ p₂ : α → Prop\ninst✝ : Topologica... | [
802,
46
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
800,
1
] |
Mathlib/ModelTheory/Basic.lean | FirstOrder.Language.Equiv.toEmbedding_toHom | [] | [
818,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
817,
1
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Mathlib/NumberTheory/Padics/PadicNumbers.lean | PadicSeq.norm_values_discrete | [
{
"state_after": "p : ℕ\nhp : Fact (Nat.Prime p)\na : PadicSeq p\nha : ¬a ≈ 0\nk : ℚ\nhk : norm a = padicNorm p k\nhk' : k ≠ 0\n⊢ ∃ z, norm a = ↑p ^ (-z)",
"state_before": "p : ℕ\nhp : Fact (Nat.Prime p)\na : PadicSeq p\nha : ¬a ≈ 0\n⊢ ∃ z, norm a = ↑p ^ (-z)",
"tactic": "let ⟨k, hk, hk'⟩ := norm_eq_nor... | [
320,
49
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
318,
1
] |
Mathlib/Data/Fin/Basic.lean | Fin.coe_modNat | [] | [
1632,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1631,
1
] |
Mathlib/Analysis/NormedSpace/LinearIsometry.lean | LinearIsometryEquiv.coe_coe'' | [] | [
946,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
945,
1
] |
Mathlib/Analysis/Normed/Field/Basic.lean | NormedField.nhdsWithin_isUnit_neBot | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\nβ : Type ?u.376392\nγ : Type ?u.376395\nι : Type ?u.376398\ninst✝ : NontriviallyNormedField α\n⊢ NeBot (𝓝[{x | IsUnit x}] 0)",
"tactic": "simpa only [isUnit_iff_ne_zero] using punctured_nhds_neBot (0 : α)"
}
] | [
757,
69
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
756,
1
] |
Mathlib/Data/Multiset/Basic.lean | Multiset.disjoint_cons_right | [
{
"state_after": "α : Type u_1\nβ : Type ?u.492563\nγ : Type ?u.492566\na : α\ns t : Multiset α\n⊢ ¬a ∈ s ∧ Disjoint t s ↔ ¬a ∈ s ∧ Disjoint s t",
"state_before": "α : Type u_1\nβ : Type ?u.492563\nγ : Type ?u.492566\na : α\ns t : Multiset α\n⊢ Disjoint s (a ::ₘ t) ↔ ¬a ∈ s ∧ Disjoint s t",
"tactic": "r... | [
2967,
48
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2965,
1
] |
Mathlib/NumberTheory/FermatPsp.lean | FermatPsp.psp_from_prime_psp | [
{
"state_after": "b : ℕ\nb_ge_two : 2 ≤ b\np : ℕ\np_prime : Nat.Prime p\np_gt_two : 2 < p\nnot_dvd : ¬p ∣ b * (b ^ 2 - 1)\n⊢ FermatPsp ((b ^ p - 1) / (b - 1) * ((b ^ p + 1) / (b + 1))) b",
"state_before": "b : ℕ\nb_ge_two : 2 ≤ b\np : ℕ\np_prime : Nat.Prime p\np_gt_two : 2 < p\nnot_dvd : ¬p ∣ b * (b ^ 2 - 1... | [
310,
26
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
207,
9
] |
Mathlib/Order/LiminfLimsup.lean | Filter.mono_bliminf | [] | [
878,
42
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
877,
1
] |
Mathlib/SetTheory/Ordinal/Arithmetic.lean | Ordinal.brange_bfamilyOfFamily | [] | [
1211,
30
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1210,
1
] |
Mathlib/Analysis/Convex/Function.lean | StrictConvexOn.convex_lt | [
{
"state_after": "case h₁.h₁\n𝕜 : Type u_1\nE : Type u_2\nF : Type ?u.194768\nα : Type ?u.194771\nβ : Type u_3\nι : Type ?u.194777\ninst✝⁷ : OrderedSemiring 𝕜\ninst✝⁶ : AddCommMonoid E\ninst✝⁵ : AddCommMonoid F\ninst✝⁴ : OrderedAddCommMonoid α\ninst✝³ : OrderedAddCommMonoid β\ninst✝² : Module 𝕜 E\ninst✝¹ : M... | [
392,
10
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
384,
1
] |
Mathlib/Topology/Basic.lean | subset_interior_iff | [] | [
319,
41
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
317,
1
] |
Mathlib/Analysis/SpecialFunctions/Pow/Asymptotics.lean | ENNReal.tendsto_rpow_at_top | [
{
"state_after": "y : ℝ\nhy : 0 < y\n⊢ ∀ (x : ℝ≥0), ∀ᶠ (a : ℝ≥0∞) in 𝓝 ⊤, ↑x < a ^ y",
"state_before": "y : ℝ\nhy : 0 < y\n⊢ Tendsto (fun x => x ^ y) (𝓝 ⊤) (𝓝 ⊤)",
"tactic": "rw [ENNReal.tendsto_nhds_top_iff_nnreal]"
},
{
"state_after": "y : ℝ\nhy : 0 < y\nx : ℝ≥0\n⊢ ∀ᶠ (a : ℝ≥0∞) in 𝓝 ⊤, ↑x... | [
142,
25
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
127,
1
] |
Mathlib/MeasureTheory/Measure/MeasureSpace.lean | MeasureTheory.Measure.QuasiMeasurePreserving.exists_preimage_eq_of_preimage_ae | [] | [
2581,
89
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2574,
1
] |
Mathlib/Algebra/Order/Rearrangement.lean | MonovaryOn.sum_comp_perm_mul_eq_sum_mul_iff | [] | [
389,
44
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
386,
1
] |
src/lean/Init/Data/Nat/Linear.lean | Nat.Linear.ExprCnstr.eq_false_of_isUnsat | [
{
"state_after": "ctx : Context\nc : ExprCnstr\nh : PolyCnstr.isUnsat (toNormPoly c) = true\nthis : PolyCnstr.denote ctx (toNormPoly c) = False\n⊢ denote ctx c = False",
"state_before": "ctx : Context\nc : ExprCnstr\nh : PolyCnstr.isUnsat (toNormPoly c) = true\n⊢ denote ctx c = False",
"tactic": "have :... | [
664,
13
] | d5348dfac847a56a4595fb6230fd0708dcb4e7e9 | https://github.com/leanprover/lean4 | [
661,
1
] |
Mathlib/CategoryTheory/Monoidal/Free/Coherence.lean | CategoryTheory.FreeMonoidalCategory.normalizeObj_tensor | [] | [
105,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
103,
1
] |
Mathlib/RingTheory/UniqueFactorizationDomain.lean | Associates.prod_factors | [] | [
1458,
37
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1457,
1
] |
Mathlib/Topology/ContinuousFunction/Bounded.lean | BoundedContinuousFunction.inducing_coeFn | [
{
"state_after": "F : Type ?u.310540\nα : Type u\nβ : Type v\nγ : Type w\ninst✝² : TopologicalSpace α\ninst✝¹ : PseudoMetricSpace β\ninst✝ : PseudoMetricSpace γ\nf g : α →ᵇ β\nx : α\nC : ℝ\n⊢ ∀ (a : α →ᵇ β), 𝓝 a = comap (↑UniformFun.ofFun ∘ FunLike.coe) (𝓝 ((↑UniformFun.ofFun ∘ FunLike.coe) a))",
"state_b... | [
286,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
281,
1
] |
Mathlib/Data/Nat/Basic.lean | Nat.pred_one_add | [
{
"state_after": "no goals",
"state_before": "m n✝ k n : ℕ\n⊢ pred (1 + n) = n",
"tactic": "rw [add_comm, add_one, Nat.pred_succ]"
}
] | [
334,
92
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
334,
1
] |
Mathlib/Algebra/Polynomial/GroupRingAction.lean | MulSemiringActionHom.coe_polynomial | [] | [
158,
86
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
158,
1
] |
Mathlib/Data/Finset/LocallyFinite.lean | Finset.image_add_left_Ico | [
{
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"state_before": "ι : Type ?u.236116\n... | [
1107,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1105,
1
] |
Mathlib/Topology/ContinuousFunction/Polynomial.lean | polynomialFunctions_coe | [
{
"state_after": "case h\nR : Type u_1\ninst✝² : CommSemiring R\ninst✝¹ : TopologicalSpace R\ninst✝ : TopologicalSemiring R\nX : Set R\nx✝ : C(↑X, R)\n⊢ x✝ ∈ ↑(polynomialFunctions X) ↔ x✝ ∈ Set.range ↑(toContinuousMapOnAlgHom X)",
"state_before": "R : Type u_1\ninst✝² : CommSemiring R\ninst✝¹ : TopologicalS... | [
148,
29
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
145,
1
] |
Mathlib/GroupTheory/Nilpotent.lean | lowerCentralSeries_pi_le | [
{
"state_after": "G : Type ?u.336571\ninst✝² : Group G\nH : Subgroup G\ninst✝¹ : Normal H\nη : Type u_1\nGs : η → Type u_2\ninst✝ : (i : η) → Group (Gs i)\nn : ℕ\npi : ((i : η) → Subgroup (Gs i)) → Subgroup ((i : η) → Gs i) := fun f => Subgroup.pi Set.univ f\n⊢ lowerCentralSeries ((i : η) → Gs i) n ≤ Subgroup.p... | [
764,
62
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
752,
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Mathlib/Data/Fin/Basic.lean | Fin.le_sub_one_iff | [
{
"state_after": "case zero\nn m : ℕ\nk : Fin (zero + 1)\n⊢ k ≤ k - 1 ↔ k = 0\n\ncase succ\nn m n✝ : ℕ\nk : Fin (Nat.succ n✝ + 1)\n⊢ k ≤ k - 1 ↔ k = 0",
"state_before": "n✝ m n : ℕ\nk : Fin (n + 1)\n⊢ k ≤ k - 1 ↔ k = 0",
"tactic": "cases n"
},
{
"state_after": "case succ\nn m n✝ : ℕ\nk : Fin (Na... | [
2000,
7
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1995,
1
] |
Mathlib/Algebra/Hom/Group.lean | MonoidHom.coe_comp | [] | [
1102,
57
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1101,
1
] |
Mathlib/AlgebraicGeometry/RingedSpace.lean | AlgebraicGeometry.RingedSpace.basicOpen_le | [
{
"state_after": "case intro.intro\nX : RingedSpace\nU : Opens ↑↑X.toPresheafedSpace\nf : ↑(X.presheaf.obj U.op)\nx : { x // x ∈ U }\nleft✝ : x ∈ {x | IsUnit (↑(germ X.presheaf x) f)}\n⊢ ↑x ∈ ↑U",
"state_before": "X : RingedSpace\nU : Opens ↑↑X.toPresheafedSpace\nf : ↑(X.presheaf.obj U.op)\n⊢ basicOpen X f ... | [
183,
34
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
182,
1
] |
Mathlib/Data/Multiset/Interval.lean | Multiset.card_Ioc | [
{
"state_after": "no goals",
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}
] | [
69,
46
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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1
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Mathlib/Analysis/Convex/Side.lean | Wbtw.wSameSide₃₂ | [] | [
382,
26
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
380,
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Mathlib/Order/Lattice.lean | ite_le_sup | [] | [
340,
86
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
339,
1
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Mathlib/Analysis/InnerProductSpace/Orthogonal.lean | Submodule.IsOrtho.le | [] | [
320,
4
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
319,
1
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Mathlib/Order/Basic.lean | LE.le.le_iff_eq | [] | [
276,
34
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
275,
1
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Mathlib/FieldTheory/IntermediateField.lean | IntermediateField.mem_restrictScalars | [] | [
653,
10
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651,
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Mathlib/MeasureTheory/MeasurableSpace.lean | measurable_one | [] | [
259,
30
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
258,
1
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Mathlib/MeasureTheory/Integral/SetToL1.lean | MeasureTheory.setToFun_nonneg | [
{
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Mathlib/LinearAlgebra/AffineSpace/MidpointZero.lean | lineMap_inv_two | [] | [
29,
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Mathlib/Topology/MetricSpace/Infsep.lean | Set.einfsep_anti | [] | [
145,
74
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144,
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Mathlib/Topology/Instances/AddCircle.lean | AddCircle.coe_neg | [] | [
171,
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170,
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Mathlib/Algebra/Order/Monoid/Lemmas.lean | one_le_of_le_mul_right | [
{
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371,
52
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
369,
1
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Mathlib/Algebra/Order/Kleene.lean | mul_kstar_le_self | [] | [
215,
38
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214,
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Mathlib/Order/Filter/Basic.lean | Filter.NeBot.comap_of_range_mem | [] | [
2371,
59
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2369,
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Mathlib/RingTheory/RootsOfUnity/Basic.lean | IsPrimitiveRoot.zmodEquivZpowers_symm_apply_zpow | [
{
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721,
79
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Mathlib/CategoryTheory/Abelian/RightDerived.lean | CategoryTheory.Abelian.Functor.rightDerivedZeroToSelfAppInv_comp | [
{
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285,
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267,
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Mathlib/CategoryTheory/Filtered.lean | CategoryTheory.IsFiltered.of_equivalence | [] | [
329,
39
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328,
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Std/Data/RBMap/Alter.lean | Std.RBNode.Path.Ordered.fill | [
{
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Mathlib/Analysis/Convex/StrictConvexSpace.lean | eq_of_norm_eq_of_norm_add_eq | [] | [
217,
49
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216,
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Mathlib/Algebra/Order/Ring/Defs.lean | bit0_le_bit0 | [
{
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}
] | [
890,
85
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
889,
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Mathlib/Data/Set/Intervals/Instances.lean | Set.Ioc.coe_mul | [] | [
299,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
298,
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Mathlib/CategoryTheory/Limits/Shapes/Images.lean | CategoryTheory.Limits.HasStrongEpiMonoFactorisations.mk | [] | [
918,
35
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
915,
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Std/Logic.lean | imp_imp_imp | [] | [
111,
100
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111,
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Mathlib/MeasureTheory/Measure/FiniteMeasure.lean | MeasureTheory.FiniteMeasure.tendsto_lintegral_nn_of_le_const | [] | [
604,
34
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
598,
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Mathlib/Data/Fin/Basic.lean | Fin.addNat_cast | [] | [
1375,
10
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1373,
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Mathlib/SetTheory/Cardinal/Cofinality.lean | Cardinal.IsRegular.cof_eq | [] | [
959,
30
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958,
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Std/Data/Int/DivMod.lean | Int.ofNat_mod | [] | [
235,
66
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235,
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Mathlib/LinearAlgebra/Span.lean | Submodule.finset_span_isCompactElement | [
{
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673,
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Mathlib/Analysis/NormedSpace/Pointwise.lean | exists_dist_lt_lt | [
{
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207,
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199,
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Mathlib/Analysis/SpecialFunctions/Trigonometric/InverseDeriv.lean | Real.differentiableAt_arcsin | [] | [
107,
59
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104,
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Mathlib/Data/Set/Intervals/Infinite.lean | Set.Ioo_infinite | [] | [
48,
39
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Mathlib/Analysis/SpecialFunctions/Trigonometric/Complex.lean | Complex.range_cos | [] | [
192,
26
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
191,
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Mathlib/Combinatorics/HalesJewett.lean | Combinatorics.Line.diagonal_apply | [
{
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"tactic": "simp_rw [Line.diagonal, Option.getD_none]"
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] | [
222,
44
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
221,
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Mathlib/Topology/DiscreteQuotient.lean | DiscreteQuotient.map_ofLE | [
{
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356,
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Mathlib/Analysis/Convex/Basic.lean | MonotoneOn.convex_le | [] | [
339,
44
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335,
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Mathlib/Topology/Instances/AddCircle.lean | continuous_right_toIcoMod | [
{
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83,
71
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Mathlib/Topology/MetricSpace/Basic.lean | Metric.bounded_Ioo | [] | [
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35
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2553,
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Mathlib/Data/Sum/Interval.lean | Sum.Ioo_inl_inl | [] | [
154,
6
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153,
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Mathlib/Analysis/Convex/Exposed.lean | IsExposed.inter_right | [
{
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180,
26
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178,
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Mathlib/Logic/Function/Iterate.lean | Function.iterate_succ_apply | [] | [
59,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Algebra/BigOperators/Finsupp.lean | Finsupp.single_multiset_sum | [
{
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279,
81
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276,
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Mathlib/Algebra/Category/ModuleCat/Basic.lean | ModuleCat.Iso.homCongr_eq_arrowCongr | [] | [
398,
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396,
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Mathlib/Analysis/SpecificLimits/Basic.lean | ENNReal.tsum_geometric | [
{
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291,
77
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280,
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Mathlib/Data/List/Perm.lean | List.perm_lookmap | [
{
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Mathlib/Data/Fin/VecNotation.lean | Matrix.cons_vecAppend | [
{
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},
{
"state... | [
305,
27
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Analysis/Calculus/Deriv/Basic.lean | fderiv_deriv | [] | [
474,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/LinearAlgebra/Matrix/Block.lean | Matrix.det_of_lowerTriangular | [
{
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Mathlib/Topology/IsLocallyHomeomorph.lean | IsLocallyHomeomorphOn.map_nhds_eq | [] | [
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29
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Mathlib/GroupTheory/Congruence.lean | Con.lift_range | [
{
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988,
87
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Analysis/InnerProductSpace/Orthogonal.lean | Submodule.orthogonal_disjoint | [
{
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"tactic": "simp [disjoint... | [
117,
95
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
117,
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Mathlib/Topology/ContinuousFunction/Weierstrass.lean | exists_polynomial_near_of_continuousOn | [
{
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"state_before": "a b : ℝ\nf : ℝ → ℝ\nc : ContinuousOn f (Set.Icc a b)\nε : ℝ\... | [
129,
17
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
121,
1
] |
Mathlib/Data/Polynomial/Derivative.lean | Polynomial.iterate_derivative_C | [] | [
255,
59
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
254,
1
] |
Mathlib/Data/Pi/Algebra.lean | Function.extend_mul | [
{
"state_after": "no goals",
"state_before": "I : Type u\nα : Type u_3\nβ : Type u_2\nγ : Type u_1\nf✝ : I → Type v₁\ng : I → Type v₂\nh : I → Type v₃\nx y : (i : I) → f✝ i\ni : I\ninst✝ : Mul γ\nf : α → β\ng₁ g₂ : α → γ\ne₁ e₂ : β → γ\n⊢ extend f (g₁ * g₂) (e₁ * e₂) = extend f g₁ e₁ * extend f g₂ e₂",
... | [
372,
87
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
368,
1
] |
Mathlib/Order/LiminfLimsup.lean | Filter.IsBoundedUnder.inf | [] | [
297,
32
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
294,
1
] |
src/lean/Init/Core.lean | HEq.symm | [] | [
625,
21
] | d5348dfac847a56a4595fb6230fd0708dcb4e7e9 | https://github.com/leanprover/lean4 | [
624,
1
] |
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