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/Data/Real/EReal.lean | EReal.toReal_neg | [
{
"state_after": "no goals",
"state_before": "⊢ toReal (-⊤) = -toReal ⊤",
"tactic": "simp"
},
{
"state_after": "no goals",
"state_before": "⊢ toReal (-⊥) = -toReal ⊥",
"tactic": "simp"
}
] | [
773,
19
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
770,
1
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Mathlib/Analysis/Calculus/Series.lean | contDiff_tsum_of_eventually | [
{
"state_after": "no goals",
"state_before": "α : Type u_4\nβ : Type ?u.153529\n𝕜 : Type u_1\nE : Type u_2\nF : Type u_3\ninst✝⁵ : IsROrC 𝕜\ninst✝⁴ : NormedAddCommGroup E\ninst✝³ : NormedSpace 𝕜 E\ninst✝² : NormedAddCommGroup F\ninst✝¹ : CompleteSpace F\nu : α → ℝ\ninst✝ : NormedSpace 𝕜 F\nf : α → E → F... | [
296,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
258,
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Mathlib/Data/Multiset/Pi.lean | Multiset.Nodup.pi | [
{
"state_after": "α : Type u_1\ninst✝ : DecidableEq α\nβ : α → Type u\nδ : α → Sort v\ns✝ : Multiset α\nt : (a : α) → Multiset (β a)\na : α\ns : Multiset α\nih : Nodup s → (∀ (a : α), a ∈ s → Nodup (t a)) → Nodup (pi s t)\nhs : Nodup (a ::ₘ s)\nht : ∀ (a_1 : α), a_1 ∈ a ::ₘ s → Nodup (t a_1)\n⊢ Nodup (pi (a ::ₘ... | [
139,
75
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
123,
11
] |
Mathlib/Algebra/Homology/Single.lean | CochainComplex.single₀_obj_X_d | [] | [
358,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
357,
1
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Mathlib/MeasureTheory/Measure/Stieltjes.lean | exists_seq_antitone_tendsto_atTop_atBot | [] | [
109,
54
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
106,
1
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Mathlib/Analysis/SpecialFunctions/Trigonometric/InverseDeriv.lean | Real.deriv_arcsin_aux | [
{
"state_after": "case inl\nx : ℝ\nh₁✝ : x ≠ -1\nh₂ : x ≠ 1\nh₁ : x < -1\n⊢ HasStrictDerivAt arcsin (1 / sqrt (1 - x ^ 2)) x ∧ ContDiffAt ℝ ⊤ arcsin x\n\ncase inr\nx : ℝ\nh₁✝ : x ≠ -1\nh₂ : x ≠ 1\nh₁ : -1 < x\n⊢ HasStrictDerivAt arcsin (1 / sqrt (1 - x ^ 2)) x ∧ ContDiffAt ℝ ⊤ arcsin x",
"state_before": "x ... | [
52,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
33,
1
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Mathlib/Analysis/Normed/Group/Basic.lean | dist_one_left | [
{
"state_after": "no goals",
"state_before": "𝓕 : Type ?u.50544\n𝕜 : Type ?u.50547\nα : Type ?u.50550\nι : Type ?u.50553\nκ : Type ?u.50556\nE : Type u_1\nF : Type ?u.50562\nG : Type ?u.50565\ninst✝² : SeminormedGroup E\ninst✝¹ : SeminormedGroup F\ninst✝ : SeminormedGroup G\ns : Set E\na✝ a₁ a₂ b b₁ b₂ : ... | [
406,
52
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
405,
1
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Mathlib/Data/Real/EReal.lean | EReal.add_lt_add_of_lt_of_le | [] | [
718,
87
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
716,
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Mathlib/Topology/MetricSpace/Lipschitz.lean | LipschitzWith.edist_le_mul | [] | [
134,
8
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
133,
1
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Mathlib/Analysis/NormedSpace/Ray.lean | sameRay_iff_inv_norm_smul_eq | [
{
"state_after": "case inl\nE : Type ?u.236691\ninst✝³ : SeminormedAddCommGroup E\ninst✝² : NormedSpace ℝ E\nF : Type u_1\ninst✝¹ : NormedAddCommGroup F\ninst✝ : NormedSpace ℝ F\ny : F\n⊢ SameRay ℝ 0 y ↔ 0 = 0 ∨ y = 0 ∨ ‖0‖⁻¹ • 0 = ‖y‖⁻¹ • y\n\ncase inr\nE : Type ?u.236691\ninst✝³ : SeminormedAddCommGroup E\nin... | [
98,
72
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
95,
1
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Mathlib/Analysis/Calculus/ContDiff.lean | ContDiff.continuous_deriv | [] | [
2168,
57
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2167,
1
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Mathlib/MeasureTheory/MeasurableSpace.lean | measurableSet_prod_of_nonempty | [
{
"state_after": "case intro.mk.intro\nα : Type u_1\nβ : Type u_2\nγ : Type ?u.83086\nδ : Type ?u.83089\nδ' : Type ?u.83092\nι : Sort uι\ns✝ t✝ u : Set α\nm : MeasurableSpace α\nmβ : MeasurableSpace β\nmγ : MeasurableSpace γ\ns : Set α\nt : Set β\nx : α\ny : β\nhx : (x, y).fst ∈ s\nhy : (x, y).snd ∈ t\n⊢ Measur... | [
731,
11
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
725,
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Mathlib/Algebra/Lie/Subalgebra.lean | LieSubalgebra.sub_mem | [] | [
141,
10
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
140,
11
] |
Mathlib/Data/Set/Function.lean | Set.BijOn.injOn | [] | [
912,
15
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
911,
1
] |
Mathlib/Data/List/MinMax.lean | List.argmax_singleton | [] | [
122,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
121,
1
] |
Mathlib/Analysis/Calculus/Deriv/Pow.lean | HasDerivWithinAt.pow | [] | [
106,
54
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
104,
1
] |
Std/Data/Int/Lemmas.lean | Int.ofNat_add_ofNat | [] | [
51,
80
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
51,
9
] |
Mathlib/Data/MvPolynomial/Funext.lean | MvPolynomial.funext_fin | [
{
"state_after": "case zero\nR : Type u_1\ninst✝² : CommRing R\ninst✝¹ : IsDomain R\ninst✝ : Infinite R\nn : ℕ\np✝ : MvPolynomial (Fin n) R\nh✝ : ∀ (x : Fin n → R), ↑(eval x) p✝ = 0\np : MvPolynomial (Fin Nat.zero) R\nh : ∀ (x : Fin Nat.zero → R), ↑(eval x) p = 0\n⊢ p = 0\n\ncase succ\nR : Type u_1\ninst✝² : Co... | [
45,
22
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
33,
9
] |
Mathlib/Order/Disjoint.lean | codisjoint_inf_right | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\ninst✝¹ : DistribLattice α\ninst✝ : OrderTop α\na b c : α\n⊢ Codisjoint a (b ⊓ c) ↔ Codisjoint a b ∧ Codisjoint a c",
"tactic": "simp only [codisjoint_iff, sup_inf_left, inf_eq_top_iff]"
}
] | [
379,
59
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
378,
1
] |
Mathlib/ModelTheory/Basic.lean | FirstOrder.Language.Embedding.comp_toHom | [
{
"state_after": "case h\nL : Language\nL' : Language\nM : Type w\nN : Type w'\ninst✝³ : Structure L M\ninst✝² : Structure L N\nP : Type u_1\ninst✝¹ : Structure L P\nQ : Type ?u.151174\ninst✝ : Structure L Q\nhnp : N ↪[L] P\nhmn : M ↪[L] N\nx✝ : M\n⊢ ↑(toHom (comp hnp hmn)) x✝ = ↑(Hom.comp (toHom hnp) (toHom hm... | [
731,
52
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
728,
1
] |
Mathlib/Deprecated/Group.lean | IsGroupHom.mk' | [] | [
271,
20
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
269,
1
] |
src/lean/Init/Data/Nat/Power2.lean | Nat.isPowerOfTwo_nextPowerOfTwo | [
{
"state_after": "case h₂\nn : Nat\n⊢ isPowerOfTwo 1",
"state_before": "n : Nat\n⊢ isPowerOfTwo (nextPowerOfTwo n)",
"tactic": "apply isPowerOfTwo_go"
},
{
"state_after": "no goals",
"state_before": "case h₂\nn : Nat\n⊢ isPowerOfTwo 1",
"tactic": "apply one_isPowerOfTwo"
},
{
"st... | [
52,
63
] | d5348dfac847a56a4595fb6230fd0708dcb4e7e9 | https://github.com/leanprover/lean4 | [
42,
1
] |
Mathlib/Order/Bounds/Basic.lean | isLUB_prod | [
{
"state_after": "case refine'_1\nα : Type u\nβ : Type v\nγ : Type w\nι : Sort x\ninst✝¹ : Preorder α\ninst✝ : Preorder β\ns : Set (α × β)\np : α × β\nH : IsLUB s p\na : α\nha : a ∈ upperBounds (Prod.fst '' s)\n⊢ p.fst ≤ a\n\ncase refine'_2\nα : Type u\nβ : Type v\nγ : Type w\nι : Sort x\ninst✝¹ : Preorder α\ni... | [
1599,
56
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1584,
1
] |
Mathlib/Geometry/Manifold/SmoothManifoldWithCorners.lean | map_extChartAt_symm_nhdsWithin | [] | [
1195,
66
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1192,
1
] |
Mathlib/CategoryTheory/Monoidal/Category.lean | CategoryTheory.MonoidalCategory.tensorLeftTensor_inv_app | [
{
"state_after": "no goals",
"state_before": "C✝¹ : Type u\n𝒞 : Category C✝¹\ninst✝⁴ : MonoidalCategory C✝¹\nC✝ : Type u\ninst✝³ : Category C✝\ninst✝² : MonoidalCategory C✝\nC : Type u\ninst✝¹ : Category C\ninst✝ : MonoidalCategory C\nX Y Z : C\n⊢ (tensorLeftTensor X Y).inv.app Z = (α_ X Y Z).inv",
"ta... | [
531,
92
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
530,
1
] |
Mathlib/CategoryTheory/Monoidal/Types/Basic.lean | CategoryTheory.rightUnitor_inv_apply | [] | [
60,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
58,
1
] |
Mathlib/Algebra/DirectSum/Decomposition.lean | DirectSum.decompose_of_mem_ne | [
{
"state_after": "no goals",
"state_before": "ι : Type u_3\nR : Type ?u.124931\nM : Type u_1\nσ : Type u_2\ninst✝⁴ : DecidableEq ι\ninst✝³ : AddCommMonoid M\ninst✝² : SetLike σ M\ninst✝¹ : AddSubmonoidClass σ M\nℳ : ι → σ\ninst✝ : Decomposition ℳ\nx : M\ni j : ι\nhx : x ∈ ℳ i\nhij : i ≠ j\n⊢ ↑(↑(↑(decompose... | [
127,
87
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
125,
1
] |
Mathlib/RingTheory/Valuation/Basic.lean | AddValuation.IsEquiv.ne_top | [] | [
865,
30
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
864,
1
] |
Mathlib/SetTheory/Game/PGame.lean | PGame.lf_iff_lt_or_fuzzy | [
{
"state_after": "x y : PGame\n⊢ ¬y ≤ x ↔ x ≤ y ∧ ¬y ≤ x ∨ ¬y ≤ x ∧ ¬x ≤ y",
"state_before": "x y : PGame\n⊢ x ⧏ y ↔ x < y ∨ x ‖ y",
"tactic": "simp only [lt_iff_le_and_lf, Fuzzy, ← PGame.not_le]"
},
{
"state_after": "no goals",
"state_before": "x y : PGame\n⊢ ¬y ≤ x ↔ x ≤ y ∧ ¬y ≤ x ∨ ¬y ≤ ... | [
924,
8
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
922,
1
] |
Mathlib/RingTheory/IntegralClosure.lean | isIntegral_algHom_iff | [
{
"state_after": "R : Type u_3\nA✝ : Type ?u.158436\nB✝ : Type ?u.158439\nS : Type ?u.158442\ninst✝⁹ : CommRing R\ninst✝⁸ : CommRing A✝\ninst✝⁷ : CommRing B✝\ninst✝⁶ : CommRing S\ninst✝⁵ : Algebra R A✝\ninst✝⁴ : Algebra R B✝\nf✝ : R →+* S\nA : Type u_1\nB : Type u_2\ninst✝³ : Ring A\ninst✝² : Ring B\ninst✝¹ : A... | [
153,
32
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
147,
1
] |
Mathlib/Control/Bifunctor.lean | Bifunctor.fst_snd | [
{
"state_after": "no goals",
"state_before": "F : Type u₀ → Type u₁ → Type u₂\ninst✝¹ : Bifunctor F\ninst✝ : LawfulBifunctor F\nα₀ α₁ : Type u₀\nβ₀ β₁ : Type u₁\nf : α₀ → α₁\nf' : β₀ → β₁\nx : F α₀ β₀\n⊢ fst f (snd f' x) = bimap f f' x",
"tactic": "simp [fst, bimap_bimap]"
}
] | [
99,
66
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
98,
1
] |
Mathlib/CategoryTheory/Limits/Final.lean | CategoryTheory.Functor.initial_of_final_op | [] | [
122,
80
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
118,
1
] |
Mathlib/RingTheory/Derivation/Basic.lean | Derivation.coe_zero_linearMap | [] | [
193,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
192,
1
] |
Mathlib/Order/Antichain.lean | IsAntichain.insert_of_symmetric | [] | [
120,
49
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
118,
1
] |
Mathlib/MeasureTheory/Constructions/Prod/Integral.lean | MeasureTheory.integral_integral_sub | [] | [
410,
61
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
406,
1
] |
Mathlib/Algebra/Lie/Nilpotent.lean | LieSubmodule.ucs_mono | [
{
"state_after": "case zero\nR : Type u\nL : Type v\nM : Type w\ninst✝⁶ : CommRing R\ninst✝⁵ : LieRing L\ninst✝⁴ : LieAlgebra R L\ninst✝³ : AddCommGroup M\ninst✝² : Module R M\ninst✝¹ : LieRingModule L M\ninst✝ : LieModule R L M\nk : ℕ\nN N₁ N₂ : LieSubmodule R L M\nh : N₁ ≤ N₂\n⊢ ucs Nat.zero N₁ ≤ ucs Nat.zero... | [
382,
31
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
377,
1
] |
Mathlib/Topology/MetricSpace/PartitionOfUnity.lean | EMetric.exists_forall_closedBall_subset_aux₂ | [] | [
82,
51
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
77,
1
] |
Mathlib/Analysis/NormedSpace/OperatorNorm.lean | ContinuousLinearMap.norm_def | [] | [
145,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
144,
1
] |
Mathlib/Topology/ContinuousOn.lean | comap_nhdsWithin_range | [] | [
688,
28
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
687,
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] |
Mathlib/Analysis/Convex/Function.lean | StrictConvexOn.translate_right | [
{
"state_after": "no goals",
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98
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
935,
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] |
Mathlib/Computability/Primrec.lean | Primrec.list_foldl | [] | [
1027,
31
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1024,
1
] |
Mathlib/Order/Max.lean | IsMax.not_lt | [] | [
316,
78
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
316,
1
] |
Mathlib/Analysis/Asymptotics/Asymptotics.lean | Asymptotics.IsBigOWith.const_mul_right | [] | [
1523,
51
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1521,
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] |
Mathlib/Topology/Category/TopCat/Limits/Pullbacks.lean | TopCat.coequalizer_isOpen_iff | [
{
"state_after": "J : Type v\ninst✝ : SmallCategory J\nF : WalkingParallelPair ⥤ TopCat\nU : Set ↑(colimit F)\n⊢ (∀ (j : WalkingParallelPair), IsOpen ((forget TopCat).map (colimit.ι F j) ⁻¹' U)) ↔\n IsOpen ((forget TopCat).map (colimit.ι F WalkingParallelPair.one) ⁻¹' U)",
"state_before": "J : Type v\nin... | [
432,
14
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
421,
1
] |
Std/Data/String/Lemmas.lean | Substring.ValidFor.takeWhile | [
{
"state_after": "l m r : List Char\np : Char → Bool\n⊢ ValidFor l (List.takeWhile p m) (List.dropWhile p m ++ r)\n { str := { data := l ++ m ++ r }, startPos := { byteIdx := utf8Len l },\n stopPos := { byteIdx := utf8Len l + utf8Len (List.takeWhile p m) } }",
"state_before": "l m r : List Char\np :... | [
942,
62
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
937,
1
] |
Std/Data/String/Lemmas.lean | Substring.ValidFor.any | [
{
"state_after": "no goals",
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"tactic": "simp [-List.append_assoc, ... | [
929,
74
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
928,
1
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Mathlib/Data/Real/Sign.lean | Real.sign_int_cast | [
{
"state_after": "case inl\nz : ℤ\nhn : z < 0\n⊢ sign ↑z = ↑(Int.sign z)\n\ncase inr.inl\n\n⊢ sign ↑0 = ↑(Int.sign 0)\n\ncase inr.inr\nz : ℤ\nhp : 0 < z\n⊢ sign ↑z = ↑(Int.sign z)",
"state_before": "z : ℤ\n⊢ sign ↑z = ↑(Int.sign z)",
"tactic": "obtain hn | rfl | hp := lt_trichotomy z (0 : ℤ)"
},
{
... | [
82,
84
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
77,
1
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Mathlib/Analysis/SpecialFunctions/Complex/Log.lean | ContinuousAt.clog | [] | [
259,
13
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
257,
1
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Mathlib/Data/Multiset/Basic.lean | Multiset.sub_eq_fold_erase | [
{
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1673,
45
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Order/SuccPred/LinearLocallyFinite.lean | toZ_mono | [
{
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347,
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301,
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Mathlib/Topology/ContinuousFunction/Bounded.lean | ContinuousLinearMap.compLeftContinuousBounded_apply | [] | [
1207,
67
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1206,
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Mathlib/LinearAlgebra/Dimension.lean | LinearMap.rank_finset_sum_le | [] | [
1386,
89
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1383,
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Mathlib/Topology/Algebra/Group/Basic.lean | subset_interior_mul | [] | [
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23
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1272,
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Mathlib/RingTheory/Valuation/Basic.lean | AddValuation.map_mul | [] | [
677,
22
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
676,
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Mathlib/Data/Finset/Basic.lean | Finset.nodup_toList | [
{
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{
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3350,
16
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
3348,
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Mathlib/Algebra/GroupPower/Lemmas.lean | pow_bit1_nonneg_iff | [] | [
721,
45
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
720,
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Mathlib/RingTheory/Finiteness.lean | Submodule.FG.mul | [] | [
452,
15
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
451,
1
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Mathlib/Algebra/Hom/Freiman.lean | MonoidHom.toFreimanHom_coe | [] | [
476,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
475,
1
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Mathlib/AlgebraicGeometry/PrimeSpectrum/Basic.lean | PrimeSpectrum.zeroLocus_singleton_one | [] | [
300,
57
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
299,
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Mathlib/Probability/Independence/Basic.lean | ProbabilityTheory.indep_bot_left | [] | [
169,
73
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168,
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Mathlib/Algebra/Algebra/Subalgebra/Basic.lean | Subalgebra.inclusion_injective | [] | [
1046,
42
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1045,
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Mathlib/Dynamics/PeriodicPts.lean | Function.minimalPeriod_apply_iterate | [
{
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Mathlib/FieldTheory/Finite/Basic.lean | FiniteField.frobenius_pow | [
{
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290,
94
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284,
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Mathlib/Topology/Constructions.lean | closure_prod_eq | [
{
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756,
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Mathlib/MeasureTheory/Function/LpSpace.lean | ContinuousLinearMap.comp_memℒp' | [] | [
963,
75
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Mathlib/Data/Multiset/LocallyFinite.lean | Multiset.card_Ioo_eq_card_Ico_sub_one | [] | [
235,
42
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234,
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Mathlib/Data/Option/Basic.lean | Option.pbind_map | [
{
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163,
100
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162,
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Mathlib/RingTheory/GradedAlgebra/HomogeneousLocalization.lean | HomogeneousLocalization.NumDenSameDeg.deg_pow | [] | [
244,
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243,
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Mathlib/Algebra/IndicatorFunction.lean | Set.mulIndicator_inter_mulSupport | [
{
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247,
60
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245,
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Mathlib/RingTheory/Algebraic.lean | Subalgebra.inv_mem_of_algebraic | [
{
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391,
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375,
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Mathlib/Algebra/Order/Floor.lean | Int.one_le_ceil_iff | [
{
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"tactic": "rw [← zero_add (1 : ℤ), add_one_le_ceil_iff, cast_zero]"
}
] | [
1117,
58
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1116,
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Mathlib/Combinatorics/SetFamily/Shadow.lean | Finset.erase_mem_shadow | [] | [
97,
39
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
96,
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Mathlib/Data/List/Forall2.lean | List.right_unique_forall₂' | [] | [
151,
54
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
147,
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Mathlib/Data/Nat/Log.lean | Nat.log_one_right | [] | [
87,
35
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
86,
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Mathlib/Algebra/Order/Ring/Defs.lean | StrictMono.mul_monotone | [] | [
607,
46
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
605,
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Mathlib/RingTheory/Ideal/Basic.lean | Ideal.mul_mem_right | [] | [
566,
36
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
565,
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Mathlib/NumberTheory/PythagoreanTriples.lean | PythagoreanTriple.isPrimitiveClassified_of_coprime | [
{
"state_after": "case pos\nx y z : ℤ\nh : PythagoreanTriple x y z\nhc : Int.gcd x y = 1\nhz : 0 < z\n⊢ IsPrimitiveClassified h\n\ncase neg\nx y z : ℤ\nh : PythagoreanTriple x y z\nhc : Int.gcd x y = 1\nhz : ¬0 < z\n⊢ IsPrimitiveClassified h",
"state_before": "x y z : ℤ\nh : PythagoreanTriple x y z\nhc : In... | [
578,
33
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
572,
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Mathlib/RingTheory/Subsemiring/Basic.lean | Subsemiring.mem_carrier | [] | [
212,
10
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
211,
1
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Mathlib/Data/Finset/Basic.lean | Finset.le_piecewise_of_le_of_le | [] | [
2564,
57
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2562,
1
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Mathlib/LinearAlgebra/AffineSpace/Midpoint.lean | right_vsub_midpoint | [
{
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124,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
123,
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Mathlib/Analysis/SpecialFunctions/Log/Base.lean | Real.logb_le_logb | [
{
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}
] | [
149,
66
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
148,
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Mathlib/Algebra/Field/Basic.lean | sub_div | [] | [
173,
32
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
172,
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Mathlib/Analysis/Complex/RemovableSingularity.lean | Complex.two_pi_I_inv_smul_circleIntegral_sub_sq_inv_smul_of_differentiable | [
{
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166,
75
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
141,
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Mathlib/LinearAlgebra/StdBasis.lean | LinearMap.coe_stdBasis | [] | [
66,
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65,
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Mathlib/Data/Seq/Computation.lean | Computation.rel_of_LiftRel | [
{
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1126,
39
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1122,
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Mathlib/Data/Multiset/FinsetOps.lean | Multiset.ndinsert_of_mem | [] | [
49,
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Mathlib/RingTheory/Subsemiring/Basic.lean | Subsemiring.eq_top_iff' | [] | [
709,
65
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
708,
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Mathlib/Data/Real/CauSeqCompletion.lean | CauSeq.Completion.mul_inv_cancel | [
{
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52
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261,
11
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Mathlib/Algebra/Hom/Freiman.lean | FreimanHom.cancel_right_on | [
{
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Mathlib/Data/Multiset/Basic.lean | Multiset.countp_True | [] | [
2282,
48
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2281,
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Mathlib/Geometry/Euclidean/Basic.lean | EuclideanGeometry.orthogonalProjectionFn_mem_orthogonal | [
{
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276,
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Mathlib/Topology/Support.lean | hasCompactMulSupport_def | [
{
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143,
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Mathlib/Data/Set/Intervals/Instances.lean | Set.Ioc.mk_one | [] | [
263,
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262,
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Mathlib/RingTheory/FractionalIdeal.lean | FractionalIdeal.isFractional_of_le_one | [
{
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217,
30
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
212,
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Mathlib/Data/Complex/Basic.lean | Complex.normSq_one | [] | [
617,
17
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
616,
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Mathlib/Data/Polynomial/Eval.lean | Polynomial.map_C | [] | [
698,
14
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
697,
1
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Mathlib/Topology/ContinuousOn.lean | continuous_if_const | [
{
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1191,
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Mathlib/Analysis/Convex/Strict.lean | StrictConvex.linear_image | [
{
"state_after": "case intro.intro.intro.intro\n𝕜 : Type u_4\n𝕝 : Type u_1\nE : Type u_2\nF : Type u_3\nβ : Type ?u.14448\ninst✝¹⁰ : OrderedSemiring 𝕜\ninst✝⁹ : TopologicalSpace E\ninst✝⁸ : TopologicalSpace F\ninst✝⁷ : AddCommMonoid E\ninst✝⁶ : AddCommMonoid F\ninst✝⁵ : Module 𝕜 E\ninst✝⁴ : Module 𝕜 F\ns :... | [
136,
61
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
131,
1
] |
Mathlib/Data/Finset/Basic.lean | Finset.sdiff_subset_sdiff | [] | [
2111,
65
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2110,
1
] |
Mathlib/Analysis/LocallyConvex/Basic.lean | Balanced.smul_eq | [] | [
298,
48
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
297,
1
] |
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