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/Between.lean | Sbtw.wbtw | [] | [
239,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
238,
1
] |
Mathlib/Data/Matrix/Basic.lean | Matrix.conjTranspose_reindex | [] | [
2582,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2580,
1
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Mathlib/RingTheory/AlgebraicIndependent.lean | AlgebraicIndependent.restrictScalars | [
{
"state_after": "ι : Type u_4\nι' : Type ?u.406285\nR : Type u_2\nK✝ : Type ?u.406291\nA : Type u_3\nA' : Type ?u.406297\nA'' : Type ?u.406300\nV : Type u\nV' : Type ?u.406305\nx : ι → A\ninst✝¹⁰ : CommRing R\ninst✝⁹ : CommRing A\ninst✝⁸ : CommRing A'\ninst✝⁷ : CommRing A''\ninst✝⁶ : Algebra R A\ninst✝⁵ : Alge... | [
224,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
216,
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Mathlib/Algebra/Ring/Commute.lean | Commute.neg_one_left | [] | [
127,
28
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
126,
1
] |
Mathlib/SetTheory/Ordinal/Principal.lean | Ordinal.mul_principal_add_is_principal_add | [
{
"state_after": "case inl\nb : Ordinal\nhb₁ : b ≠ 1\nhb : Principal (fun x x_1 => x + x_1) b\n⊢ Principal (fun x x_1 => x + x_1) (0 * b)\n\ncase inr\na b : Ordinal\nhb₁ : b ≠ 1\nhb : Principal (fun x x_1 => x + x_1) b\nh✝ : 0 < a\n⊢ Principal (fun x x_1 => x + x_1) (a * b)",
"state_before": "a b : Ordinal\... | [
275,
38
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
260,
1
] |
Mathlib/Analysis/NormedSpace/LpEquiv.lean | coe_equiv_lpPiLp | [] | [
71,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
70,
1
] |
Mathlib/Data/Finsupp/Basic.lean | Finsupp.filter_pos_add_filter_neg | [] | [
970,
70
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
968,
1
] |
Mathlib/Geometry/Euclidean/Basic.lean | EuclideanGeometry.dist_sq_eq_dist_orthogonalProjection_sq_add_dist_orthogonalProjection_sq | [
{
"state_after": "V : Type u_1\nP : Type u_2\ninst✝⁵ : NormedAddCommGroup V\ninst✝⁴ : InnerProductSpace ℝ V\ninst✝³ : MetricSpace P\ninst✝² : NormedAddTorsor V P\ns : AffineSubspace ℝ P\ninst✝¹ : Nonempty { x // x ∈ s }\ninst✝ : CompleteSpace { x // x ∈ direction s }\np1 p2 : P\nhp1 : p1 ∈ s\n⊢ inner (p1 -ᵥ ↑(↑... | [
492,
62
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
482,
1
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Mathlib/Data/Int/Bitwise.lean | Int.one_shiftl | [] | [
446,
45
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
445,
1
] |
Mathlib/Analysis/SpecialFunctions/Integrals.lean | intervalIntegral.inv_mul_integral_comp_div | [] | [
261,
33
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
260,
1
] |
Mathlib/Data/List/Rotate.lean | List.map_rotate | [
{
"state_after": "case zero\nα : Type u\nβ : Type u_1\nf : α → β\nl✝ l : List α\n⊢ map f (rotate l zero) = rotate (map f l) zero\n\ncase succ\nα : Type u\nβ : Type u_1\nf : α → β\nl✝ : List α\nn : ℕ\nhn : ∀ (l : List α), map f (rotate l n) = rotate (map f l) n\nl : List α\n⊢ map f (rotate l (succ n)) = rotate (... | [
393,
16
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
387,
1
] |
Mathlib/GroupTheory/OrderOfElement.lean | IsOfFinOrder.zpow | [] | [
593,
84
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
592,
1
] |
Mathlib/AlgebraicGeometry/PrimeSpectrum/Basic.lean | PrimeSpectrum.subset_zeroLocus_iff_le_vanishingIdeal | [] | [
184,
100
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
181,
1
] |
Mathlib/Data/Set/Intervals/Monotone.lean | Antitone.Ico | [] | [
136,
22
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
134,
11
] |
Mathlib/CategoryTheory/Limits/Shapes/Types.lean | CategoryTheory.Limits.Types.binaryCoproductIso_inl_comp_inv | [] | [
248,
87
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
246,
1
] |
Mathlib/Topology/Order/Basic.lean | Monotone.map_sInf_of_continuousAt' | [] | [
2681,
76
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2679,
1
] |
Mathlib/CategoryTheory/Limits/Shapes/CommSq.lean | CategoryTheory.IsPullback.of_hasBinaryBiproduct | [] | [
626,
49
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
624,
1
] |
Mathlib/AlgebraicGeometry/PrimeSpectrum/Basic.lean | PrimeSpectrum.localization_comap_embedding | [] | [
680,
70
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
678,
1
] |
Mathlib/Geometry/Euclidean/Angle/Unoriented/Affine.lean | EuclideanGeometry.dist_eq_abs_sub_dist_of_angle_eq_zero | [
{
"state_after": "V : Type u_1\nP : Type u_2\ninst✝³ : NormedAddCommGroup V\ninst✝² : InnerProductSpace ℝ V\ninst✝¹ : MetricSpace P\ninst✝ : NormedAddTorsor V P\np1 p2 p3 : P\nh : ∠ p1 p2 p3 = 0\n⊢ ‖p1 -ᵥ ?p3 - (p3 -ᵥ ?p3)‖ = abs (‖p1 -ᵥ p2‖ - ‖p3 -ᵥ p2‖)\n\ncase p3\nV : Type u_1\nP : Type u_2\ninst✝³ : NormedA... | [
240,
52
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
237,
1
] |
Mathlib/Tactic/NormNum/GCD.lean | Tactic.NormNum.isInt_gcd | [] | [
84,
46
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
82,
1
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Mathlib/FieldTheory/Subfield.lean | Subfield.fieldRange_subtype | [] | [
921,
57
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
920,
1
] |
Mathlib/NumberTheory/Padics/PadicNumbers.lean | Padic.rat_dense' | [
{
"state_after": "p : ℕ\ninst✝ : Fact (Nat.Prime p)\nf : CauSeq ℚ_[p] ↑padicNormE\nq : ℚ_[p]\nε : ℚ\nhε : 0 < ε\nq' : CauSeq ℚ (padicNorm p)\nthis : ∃ N, ∀ (m : ℕ), m ≥ N → ∀ (n : ℕ), n ≥ N → padicNorm p (↑q' m - ↑q' n) < ε\nN : ℕ\nhN : ∀ (m : ℕ), m ≥ N → ∀ (n : ℕ), n ≥ N → padicNorm p (↑q' m - ↑q' n) < ε\n⊢ Qu... | [
677,
53
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
660,
1
] |
Mathlib/NumberTheory/Divisors.lean | Nat.perfect_iff_sum_divisors_eq_two_mul | [
{
"state_after": "n : ℕ\nh : 0 < n\n⊢ ∑ i in properDivisors n, i = n ↔ ∑ i in properDivisors n, i + n = n + n",
"state_before": "n : ℕ\nh : 0 < n\n⊢ Perfect n ↔ ∑ i in divisors n, i = 2 * n",
"tactic": "rw [perfect_iff_sum_properDivisors h, sum_divisors_eq_sum_properDivisors_add_self, two_mul]"
},
{... | [
307,
29
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
302,
1
] |
Mathlib/Algebra/Module/Submodule/Bilinear.lean | Submodule.map₂_eq_span_image2 | [
{
"state_after": "no goals",
"state_before": "ι : Sort uι\nR : Type u_1\nM : Type u_2\nN : Type u_4\nP : Type u_3\ninst✝⁶ : CommSemiring R\ninst✝⁵ : AddCommMonoid M\ninst✝⁴ : AddCommMonoid N\ninst✝³ : AddCommMonoid P\ninst✝² : Module R M\ninst✝¹ : Module R N\ninst✝ : Module R P\nf : M →ₗ[R] N →ₗ[R] P\np : S... | [
144,
42
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
142,
1
] |
Mathlib/Logic/Equiv/Defs.lean | Equiv.coe_fn_symm_mk | [] | [
258,
98
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
258,
9
] |
Mathlib/RingTheory/Ideal/Cotangent.lean | Ideal.toCotangent_to_quotient_square | [] | [
119,
73
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
118,
1
] |
Mathlib/FieldTheory/RatFunc.lean | RatFunc.mk_eq_div | [
{
"state_after": "no goals",
"state_before": "K : Type u\ninst✝¹ : CommRing K\ninst✝ : IsDomain K\np q : K[X]\n⊢ RatFunc.mk p q = ↑(algebraMap K[X] (RatFunc K)) p / ↑(algebraMap K[X] (RatFunc K)) q",
"tactic": "simp only [mk_eq_div', ofFractionRing_div, ofFractionRing_algebraMap]"
}
] | [
840,
72
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
839,
1
] |
Mathlib/Algebra/Group/Basic.lean | div_div_self' | [
{
"state_after": "no goals",
"state_before": "α : Type ?u.68232\nβ : Type ?u.68235\nG : Type u_1\ninst✝ : CommGroup G\na✝ b✝ c d a b : G\n⊢ a / (a / b) = b",
"tactic": "simpa using mul_inv_cancel_left a b"
}
] | [
932,
92
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
932,
1
] |
Mathlib/RingTheory/Subsemiring/Basic.lean | Subsemiring.multiset_prod_mem | [] | [
341,
22
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
339,
11
] |
Mathlib/Data/Finsupp/Defs.lean | Finsupp.erase_same | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\nβ : Type ?u.163190\nγ : Type ?u.163193\nι : Type ?u.163196\nM : Type u_2\nM' : Type ?u.163202\nN : Type ?u.163205\nP : Type ?u.163208\nG : Type ?u.163211\nH : Type ?u.163214\nR : Type ?u.163217\nS : Type ?u.163220\ninst✝ : Zero M\na : α\nf : α →₀ M... | [
644,
48
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
643,
1
] |
Mathlib/Analysis/Normed/Group/AddCircle.lean | AddCircle.closedBall_eq_univ_of_half_period_le | [
{
"state_after": "no goals",
"state_before": "p : ℝ\nhp : p ≠ 0\nx✝ : AddCircle p\nε : ℝ\nhε : abs p / 2 ≤ ε\nx : AddCircle p\n⊢ x ∈ closedBall x✝ ε",
"tactic": "simpa only [mem_closedBall, dist_eq_norm] using (norm_le_half_period p hp).trans hε"
}
] | [
176,
88
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
173,
1
] |
Mathlib/Combinatorics/SimpleGraph/Connectivity.lean | SimpleGraph.Walk.copy_cons | [
{
"state_after": "V : Type u\nV' : Type v\nV'' : Type w\nG : SimpleGraph V\nG' : SimpleGraph V'\nG'' : SimpleGraph V''\nv u' w' : V\nh : Adj G u' v\np : Walk G v w'\n⊢ Walk.copy (cons h p) (_ : u' = u') (_ : w' = w') = cons (_ : Adj G u' v) (Walk.copy p (_ : v = v) (_ : w' = w'))",
"state_before": "V : Type... | [
158,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
155,
1
] |
Mathlib/AlgebraicGeometry/StructureSheaf.lean | AlgebraicGeometry.StructureSheaf.germ_toOpen | [
{
"state_after": "R : Type u\ninst✝ : CommRing R\nU : Opens ↑(PrimeSpectrum.Top R)\nx : { x // x ∈ U }\nf : R\n⊢ ↑(germ (Sheaf.presheaf (structureSheaf R)) x) (↑(toOpen R U) f) =\n ↑(toOpen R U ≫ germ (Sheaf.presheaf (structureSheaf R)) x) f",
"state_before": "R : Type u\ninst✝ : CommRing R\nU : Opens ↑(... | [
455,
100
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
454,
1
] |
Mathlib/Topology/SubsetProperties.lean | exists_nhds_ne_inf_principal_neBot | [
{
"state_after": "α : Type u\nβ : Type v\nι : Type ?u.95561\nπ : ι → Type ?u.95566\ninst✝¹ : TopologicalSpace α\ninst✝ : TopologicalSpace β\ns✝ t s : Set α\nhs : IsCompact s\nhs' : Set.Infinite s\nH : ∀ (z : α), z ∈ s → ¬NeBot (𝓝[{z}ᶜ] z ⊓ 𝓟 s)\n⊢ False",
"state_before": "α : Type u\nβ : Type v\nι : Type ... | [
930,
62
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
926,
1
] |
Mathlib/Data/MvPolynomial/Basic.lean | MvPolynomial.coeff_C_mul | [
{
"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✝¹ : CommSemiring R\ninst✝ : CommSemiring S₁\np✝ q : MvPolynomial σ R\nm : σ →₀ ℕ\na : R\np : MvPolynomial σ R\n⊢ coeff m (sum p fun n b => ↑(monomial (0 + n)) (a * b)) = a * coef... | [
697,
7
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
693,
1
] |
Mathlib/Order/Filter/Basic.lean | Filter.join_mono | [] | [
1055,
100
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1055,
1
] |
Mathlib/Data/Finset/Functor.lean | Finset.image₂_def | [
{
"state_after": "case a\nα✝ β✝ : Type u\ninst✝ : (P : Prop) → Decidable P\nα β γ : Type u_1\nf : α → β → γ\ns : Finset α\nt : Finset β\na✝ : γ\n⊢ a✝ ∈ image₂ f s t ↔ a✝ ∈ Seq.seq (f <$> s) fun x => t",
"state_before": "α✝ β✝ : Type u\ninst✝ : (P : Prop) → Decidable P\nα β γ : Type u_1\nf : α → β → γ\ns : F... | [
98,
17
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
95,
1
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Mathlib/Analysis/Calculus/ContDiff.lean | ContDiffOn.restrict_scalars | [] | [
2224,
30
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2223,
1
] |
Mathlib/Probability/Independence/Basic.lean | ProbabilityTheory.iIndepFun.indepFun_finset_prod_of_not_mem | [
{
"state_after": "no goals",
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887,
33
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
867,
1
] |
Mathlib/Topology/Sets/Closeds.lean | TopologicalSpace.Closeds.mem_iInf | [
{
"state_after": "no goals",
"state_before": "ι✝ : Type ?u.13819\nα : Type u_2\nβ : Type ?u.13825\ninst✝¹ : TopologicalSpace α\ninst✝ : TopologicalSpace β\nι : Sort u_1\nx : α\ns : ι → Closeds α\n⊢ x ∈ iInf s ↔ ∀ (i : ι), x ∈ s i",
"tactic": "simp [iInf]"
}
] | [
165,
95
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
165,
1
] |
Mathlib/Topology/Sets/Compacts.lean | TopologicalSpace.CompactOpens.ext | [] | [
493,
17
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
492,
11
] |
Mathlib/SetTheory/Cardinal/Basic.lean | Cardinal.sum_lt_prod | [
{
"state_after": "α β : Type u\nι : Type u_1\nf g : ι → Cardinal\nH : ∀ (i : ι), f i < g i\nx✝ : sum f ≥ prod g\nF : ((i : ι) → Quotient.out (g i)) ↪ (i : ι) × Quotient.out (f i)\nthis : Inhabited ((i : ι) → Quotient.out (g i))\n⊢ False",
"state_before": "α β : Type u\nι : Type u_1\nf g : ι → Cardinal\nH : ... | [
1911,
33
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1895,
1
] |
Mathlib/Topology/MetricSpace/Basic.lean | Metric.bounded_closedBall | [] | [
2320,
35
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2317,
1
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Mathlib/Analysis/Convex/Gauge.lean | Convex.uniformContinuous_gauge | [
{
"state_after": "case intro.intro\n𝕜 : Type ?u.302548\nE : Type u_1\nF : Type ?u.302554\ninst✝¹ : SeminormedAddCommGroup E\ninst✝ : NormedSpace ℝ E\ns : Set E\nr✝ : ℝ\nx : E\nhc : Convex ℝ s\nh₀ : s ∈ 𝓝 0\nr : ℝ\nhr₀ : r > 0\nhr : Metric.ball 0 r ⊆ s\n⊢ UniformContinuous (gauge s)",
"state_before": "𝕜 :... | [
490,
58
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
486,
1
] |
Mathlib/GroupTheory/Subsemigroup/Operations.lean | Subsemigroup.map_sup_comap_of_surjective | [] | [
492,
30
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
490,
1
] |
Mathlib/Algebra/Order/Ring/Defs.lean | nonneg_of_mul_nonneg_right | [] | [
817,
64
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
816,
1
] |
Mathlib/Data/Fin/Tuple/Basic.lean | Fin.init_def | [] | [
441,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
439,
1
] |
Mathlib/Topology/Constructions.lean | Filter.Tendsto.prod_mk_nhds | [
{
"state_after": "α : Type u\nβ : Type v\nγ✝ : Type ?u.40052\nδ : Type ?u.40055\nε : Type ?u.40058\nζ : Type ?u.40061\ninst✝⁵ : TopologicalSpace α\ninst✝⁴ : TopologicalSpace β\ninst✝³ : TopologicalSpace γ✝\ninst✝² : TopologicalSpace δ\ninst✝¹ : TopologicalSpace ε\ninst✝ : TopologicalSpace ζ\nγ : Type u_1\na : α... | [
592,
56
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589,
1
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Mathlib/Order/BooleanAlgebra.lean | sdiff_eq_comm | [] | [
393,
39
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
392,
1
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Std/Data/Int/Lemmas.lean | Int.mul_comm | [
{
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}
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380,
46
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Mathlib/Data/Set/Finite.lean | Set.infinite_range_of_injective | [
{
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1375,
22
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1372,
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Mathlib/NumberTheory/ArithmeticFunction.lean | Nat.ArithmeticFunction.coe_zetaUnit | [] | [
1075,
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1074,
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Mathlib/RingTheory/IsTensorProduct.lean | IsBaseChange.lift_comp | [] | [
196,
30
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Mathlib/Algebra/Homology/Single.lean | CochainComplex.from_single₀_ext | [
{
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461,
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456,
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Mathlib/Topology/LocalHomeomorph.lean | LocalHomeomorph.invFun_eq_coe | [] | [
133,
6
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132,
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Mathlib/SetTheory/Game/PGame.lean | PGame.moveLeft_lf_of_le | [] | [
468,
29
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467,
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Mathlib/Data/Finsupp/Basic.lean | Finsupp.smul_apply | [] | [
1503,
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1501,
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Mathlib/Order/BoundedOrder.lean | top_sup_eq | [] | [
456,
24
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455,
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Mathlib/Data/Finite/Card.lean | Finite.card_subtype_le | [
{
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185,
83
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183,
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Mathlib/Data/Finset/NatAntidiagonal.lean | Finset.Nat.antidiagonal_succ' | [
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{
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72,
40
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/NumberTheory/Multiplicity.lean | Int.two_pow_two_pow_add_two_pow_two_pow | [
{
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300,
73
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Mathlib/Topology/MetricSpace/Basic.lean | tendsto_cocompact_of_tendsto_dist_comp_atTop | [
{
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2817,
26
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2814,
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Mathlib/MeasureTheory/MeasurableSpaceDef.lean | measurable_id' | [] | [
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550,
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Mathlib/Computability/Primrec.lean | Primrec.list_findIdx | [
{
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1135,
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Mathlib/Init/Data/Nat/Bitwise.lean | Nat.lor'_bit | [] | [
473,
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Mathlib/GroupTheory/Nilpotent.lean | nilpotent_of_surjective | [
{
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552,
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Mathlib/Algebra/Algebra/Operations.lean | Submodule.mul_le_mul_left | [] | [
239,
22
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238,
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Mathlib/Data/Finset/Pairwise.lean | List.pairwise_disjoint_of_coe_toFinset_pairwiseDisjoint | [] | [
87,
42
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84,
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Mathlib/Order/Hom/CompleteLattice.lean | CompleteLatticeHom.cancel_right | [] | [
772,
85
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770,
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Mathlib/Init/Algebra/Classes.lean | irrefl_of | [] | [
292,
11
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
291,
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Mathlib/Order/Heyting/Basic.lean | sdiff_le_iff' | [
{
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}
] | [
507,
80
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
507,
1
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Mathlib/Order/OrdContinuous.lean | LeftOrdContinuous.map_isGreatest | [] | [
71,
43
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
69,
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src/lean/Init/Prelude.lean | PLift.up_down | [] | [
757,
77
] | d5348dfac847a56a4595fb6230fd0708dcb4e7e9 | https://github.com/leanprover/lean4 | [
757,
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Mathlib/Data/Multiset/Basic.lean | Multiset.coe_foldl | [] | [
1412,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1410,
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Mathlib/Topology/Constructions.lean | isOpenMap_toMul | [] | [
109,
77
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
109,
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Mathlib/MeasureTheory/Function/LpSeminorm.lean | MeasureTheory.snorm'_const | [
{
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265,
54
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259,
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Mathlib/Algebra/Star/Prod.lean | Prod.fst_star | [] | [
32,
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31,
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Mathlib/Algebra/Lie/Basic.lean | LieHom.map_zero | [] | [
332,
29
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
331,
1
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Mathlib/GroupTheory/Subsemigroup/Basic.lean | Subsemigroup.closure_le | [] | [
331,
52
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330,
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Mathlib/Analysis/Complex/AbsMax.lean | Complex.eqOn_closure_of_eqOn_frontier | [
{
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419,
16
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414,
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Mathlib/SetTheory/Ordinal/Arithmetic.lean | Ordinal.le_mul_left | [
{
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748,
17
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746,
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Mathlib/Order/Concept.lean | Concept.fst_subset_fst_iff | [] | [
236,
10
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
235,
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Mathlib/Algebra/Hom/Group.lean | MonoidHom.ext | [] | [
656,
20
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
655,
1
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Mathlib/Analysis/NormedSpace/Exponential.lean | exp_eq_tsum | [] | [
112,
26
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
111,
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Mathlib/Data/Seq/Parallel.lean | Computation.terminates_parallel | [
{
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204,
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132,
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Mathlib/LinearAlgebra/Matrix/NonsingularInverse.lean | Matrix.coe_units_inv | [
{
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280,
43
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
278,
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Mathlib/CategoryTheory/Closed/Cartesian.lean | CategoryTheory.CartesianClosed.curry_eq | [] | [
229,
29
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
228,
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Mathlib/Order/BoundedOrder.lean | StrictMono.apply_eq_bot_iff | [] | [
410,
27
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
409,
1
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Mathlib/Algebra/AddTorsor.lean | vsub_left_cancel_iff | [] | [
218,
39
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
217,
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Mathlib/Combinatorics/SimpleGraph/Coloring.lean | SimpleGraph.IsClique.card_le_of_coloring | [
{
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430,
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424,
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Mathlib/MeasureTheory/Function/AEEqOfIntegral.lean | MeasureTheory.ae_nonneg_restrict_of_forall_set_integral_nonneg | [
{
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354,
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Mathlib/Data/Finmap.lean | Finmap.liftOn_toFinmap | [
{
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123,
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121,
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Mathlib/Analysis/Asymptotics/Asymptotics.lean | Asymptotics.isBigO_const_of_tendsto | [] | [
1377,
43
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1375,
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Mathlib/Data/List/Basic.lean | List.filter_false | [
{
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}
] | [
3596,
74
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
3595,
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Mathlib/Data/Polynomial/Taylor.lean | Polynomial.taylor_mul | [
{
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"tactic": "simp only [taylor_apply, mul_comp]"
}
] | [
110,
88
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
109,
1
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Mathlib/Data/List/Pairwise.lean | List.Pairwise.forall_of_forall | [
{
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] | [
140,
55
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
138,
1
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Mathlib/CategoryTheory/Limits/Lattice.lean | CategoryTheory.Limits.CompleteLattice.limit_eq_iInf | [] | [
225,
81
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
224,
1
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Mathlib/CategoryTheory/MorphismProperty.lean | CategoryTheory.MorphismProperty.IsInvertedBy.op | [
{
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"state_before": "C : Type u\ninst✝¹ : Category C\nD ... | [
314,
17
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
310,
1
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Mathlib/Data/Polynomial/Basic.lean | Polynomial.monomial_one_one_eq_X | [] | [
555,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
554,
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Mathlib/Data/Real/ENNReal.lean | ENNReal.not_lt_zero | [
{
"state_after": "no goals",
"state_before": "α : Type ?u.109045\nβ : Type ?u.109048\na b c d : ℝ≥0∞\nr p q : ℝ≥0\n⊢ ¬a < 0",
"tactic": "simp"
}
] | [
754,
40
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
754,
1
] |
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