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/CategoryTheory/Monoidal/Braided.lean | CategoryTheory.BraidedFunctor.comp_toNatTrans | [] | [
348,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
346,
1
] |
Mathlib/Algebra/BigOperators/Order.lean | WithTop.prod_lt_top | [] | [
715,
52
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
712,
1
] |
Mathlib/Topology/ContinuousOn.lean | continuous_of_cover_nhds | [
{
"state_after": "α : Type u_2\nβ : Type u_3\nγ : Type ?u.317635\nδ : Type ?u.317638\ninst✝³ : TopologicalSpace α\ninst✝² : TopologicalSpace β\ninst✝¹ : TopologicalSpace γ\ninst✝ : TopologicalSpace δ\nι : Sort u_1\nf : α → β\ns : ι → Set α\nhs : ∀ (x : α), ∃ i, s i ∈ 𝓝 x\nhf : ∀ (i : ι), ContinuousOn f (s i)\n... | [
664,
38
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
659,
1
] |
Mathlib/GroupTheory/SpecificGroups/Alternating.lean | Equiv.Perm.prod_list_swap_mem_alternatingGroup_iff_even_length | [
{
"state_after": "α : Type u_1\ninst✝¹ : Fintype α\ninst✝ : DecidableEq α\nl : List (Perm α)\nhl : ∀ (g : Perm α), g ∈ l → IsSwap g\n⊢ -1 ≠ 1",
"state_before": "α : Type u_1\ninst✝¹ : Fintype α\ninst✝ : DecidableEq α\nl : List (Perm α)\nhl : ∀ (g : Perm α), g ∈ l → IsSwap g\n⊢ List.prod l ∈ alternatingGroup... | [
81,
9
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
77,
1
] |
Mathlib/Topology/MetricSpace/PiNat.lean | PiNat.res_injective | [
{
"state_after": "E : ℕ → Type ?u.22017\nα : Type u_1\nx y : ℕ → α\nh : res x = res y\n⊢ x = y",
"state_before": "E : ℕ → Type ?u.22017\nα : Type u_1\n⊢ Injective res",
"tactic": "intro x y h"
},
{
"state_after": "case h\nE : ℕ → Type ?u.22017\nα : Type u_1\nx y : ℕ → α\nh : res x = res y\nn : ℕ... | [
245,
9
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
241,
1
] |
Mathlib/Analysis/Calculus/FDeriv/Comp.lean | DifferentiableOn.comp | [] | [
183,
76
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
181,
1
] |
Mathlib/Analysis/NormedSpace/WeakDual.lean | WeakDual.isClosed_closedBall | [] | [
183,
79
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
182,
1
] |
Mathlib/FieldTheory/Adjoin.lean | IntermediateField.Lifts.mem_lifts_of_splits | [] | [
1138,
31
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1136,
1
] |
Mathlib/MeasureTheory/Measure/ProbabilityMeasure.lean | MeasureTheory.ProbabilityMeasure.coeFn_comp_toFiniteMeasure_eq_coeFn | [] | [
165,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
163,
1
] |
Mathlib/Data/Finset/NoncommProd.lean | Finset.noncommProd_insert_of_not_mem | [
{
"state_after": "case h.e'_2.h.e'_2.h.a\nF : Type ?u.142925\nι : Type ?u.142928\nα : Type u_1\nβ : Type u_2\nγ : Type ?u.142937\nf✝ : α → β → β\nop : α → α → α\ninst✝² : Monoid β\ninst✝¹ : Monoid γ\ninst✝ : DecidableEq α\ns : Finset α\na : α\nf : α → β\ncomm : Set.Pairwise ↑(insert a s) fun a b => Commute (f a... | [
290,
59
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
279,
1
] |
Mathlib/Algebra/Periodic.lean | Function.Periodic.sub_const | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\nβ : Type u_2\nγ : Type ?u.88614\nf g : α → β\nc c₁ c₂ x : α\ninst✝ : AddCommGroup α\nh : Periodic f c\na : α\n⊢ Periodic (fun x => f (x - a)) c",
"tactic": "simpa only [sub_eq_add_neg] using h.add_const (-a)"
}
] | [
198,
53
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
196,
1
] |
Mathlib/Algebra/Support.lean | Function.mulSupport_mul | [] | [
261,
50
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
259,
1
] |
Mathlib/Topology/SubsetProperties.lean | IsPreirreducible.image | [
{
"state_after": "case intro.intro.intro.intro.intro.intro.intro.intro\nα : Type u\nβ : Type v\nι : Type ?u.188216\nπ : ι → Type ?u.188221\ninst✝¹ : TopologicalSpace α\ninst✝ : TopologicalSpace β\ns✝ t s : Set α\nH : IsPreirreducible s\nf : α → β\nhf : ContinuousOn f s\nu v : Set β\nhu : IsOpen u\nhv : IsOpen v... | [
1872,
13
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1857,
1
] |
Mathlib/GroupTheory/FreeProduct.lean | FreeProduct.NeWord.toList_ne_nil | [
{
"state_after": "case singleton\nι : Type u_1\nM : ι → Type u_2\ninst✝¹ : (i : ι) → Monoid (M i)\nN : Type ?u.485949\ninst✝ : Monoid N\ni j i✝ : ι\nx✝ : M i✝\na✝ : x✝ ≠ 1\n⊢ toList (singleton x✝ a✝) ≠ []\n\ncase append\nι : Type u_1\nM : ι → Type u_2\ninst✝¹ : (i : ι) → Monoid (M i)\nN : Type ?u.485949\ninst✝ ... | [
511,
15
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
507,
1
] |
Mathlib/Data/Nat/ModEq.lean | Nat.ModEq.mul_right_cancel' | [
{
"state_after": "no goals",
"state_before": "m✝ n a✝ b✝ c✝ d a b c m : ℕ\nhc : c ≠ 0\n⊢ a * c ≡ b * c [MOD m * c] → a ≡ b [MOD m]",
"tactic": "simp [modEq_iff_dvd, ← sub_mul, mul_dvd_mul_iff_right (by simp [hc] : (c : ℤ) ≠ 0)]"
},
{
"state_after": "no goals",
"state_before": "m✝ n a✝ b✝ c✝ ... | [
194,
86
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
192,
11
] |
Mathlib/Algebra/Algebra/Subalgebra/Basic.lean | Algebra.sInf_toSubmodule | [
{
"state_after": "no goals",
"state_before": "R : Type u\nA : Type v\nB : Type w\ninst✝⁴ : CommSemiring R\ninst✝³ : Semiring A\ninst✝² : Algebra R A\ninst✝¹ : Semiring B\ninst✝ : Algebra R B\nS : Set (Subalgebra R A)\n⊢ ↑(↑Subalgebra.toSubmodule (sInf S)) = ↑(sInf (↑Subalgebra.toSubmodule '' S))",
"tact... | [
866,
35
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
864,
1
] |
Mathlib/Topology/CompactOpen.lean | ContinuousMap.tendsto_compactOpen_restrict | [] | [
265,
56
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
262,
1
] |
src/lean/Init/SizeOf.lean | Lean.Name.str.sizeOf_spec | [] | [
105,
6
] | d5348dfac847a56a4595fb6230fd0708dcb4e7e9 | https://github.com/leanprover/lean4 | [
104,
9
] |
Mathlib/LinearAlgebra/Dimension.lean | rank_span_set | [
{
"state_after": "K : Type u\nV V₁ V₂ V₃ : Type v\nV' V'₁ : Type v'\nV'' : Type v''\nι : Type w\nι' : Type w'\nη : Type u₁'\nφ : η → Type ?u.420675\nR : Type u\ninst✝³ : Ring R\ninst✝² : StrongRankCondition R\nM : Type v\ninst✝¹ : AddCommGroup M\ninst✝ : Module R M\ns : Set M\nhs : LinearIndependent R fun x => ... | [
869,
21
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
866,
1
] |
Mathlib/LinearAlgebra/ProjectiveSpace/Subspace.lean | Projectivization.Subspace.span_eq_of_le | [] | [
226,
47
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
224,
1
] |
Mathlib/CategoryTheory/Opposites.lean | CategoryTheory.NatTrans.removeRightOp_id | [] | [
457,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
456,
1
] |
Mathlib/MeasureTheory/Measure/Lebesgue/Basic.lean | Real.volume_Iic | [
{
"state_after": "ι : Type ?u.252971\ninst✝ : Fintype ι\na : ℝ\n⊢ ↑↑volume (Iio a) = ⊤",
"state_before": "ι : Type ?u.252971\ninst✝ : Fintype ι\na : ℝ\n⊢ ↑↑volume (Iic a) = ⊤",
"tactic": "rw [← measure_congr Iio_ae_eq_Iic]"
},
{
"state_after": "no goals",
"state_before": "ι : Type ?u.252971\... | [
170,
95
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
170,
1
] |
Mathlib/RingTheory/Subsemiring/Basic.lean | Subsemiring.closure_empty | [] | [
989,
30
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
988,
1
] |
Std/Data/List/Lemmas.lean | List.rel_of_chain_cons | [] | [
1781,
21
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
1780,
1
] |
Mathlib/NumberTheory/ADEInequality.lean | ADEInequality.lt_six | [
{
"state_after": "r : ℕ+\nH : 1 < sumInv {2, 3, r}\nh6 : 0 < 6\n⊢ r < 6",
"state_before": "r : ℕ+\nH : 1 < sumInv {2, 3, r}\n⊢ r < 6",
"tactic": "have h6 : (0 : ℚ) < 6 := by norm_num"
},
{
"state_after": "r : ℕ+\nh6 : 0 < 6\nH : ¬r < 6\n⊢ sumInv {2, 3, r} ≤ 1",
"state_before": "r : ℕ+\nH : 1... | [
230,
25
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
219,
1
] |
Mathlib/Algebra/Module/Basic.lean | neg_ne_self | [] | [
705,
24
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
704,
1
] |
Mathlib/Data/Seq/WSeq.lean | Stream'.WSeq.mem_cons | [] | [
968,
36
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
967,
1
] |
Mathlib/Algebra/Hom/Group.lean | ne_one_of_map | [] | [
244,
83
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
243,
1
] |
Mathlib/MeasureTheory/Function/LpSeminorm.lean | MeasureTheory.snorm_smul_measure_of_ne_top | [
{
"state_after": "case pos\nα : Type u_1\nE : Type ?u.2224619\nF : Type u_2\nG : Type ?u.2224625\nm m0 : MeasurableSpace α\np✝ : ℝ≥0∞\nq : ℝ\nμ ν : Measure α\ninst✝² : NormedAddCommGroup E\ninst✝¹ : NormedAddCommGroup F\ninst✝ : NormedAddCommGroup G\np : ℝ≥0∞\nhp_ne_top : p ≠ ⊤\nf : α → F\nc : ℝ≥0∞\nhp0 : p = 0... | [
638,
66
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
634,
1
] |
Mathlib/GroupTheory/Index.lean | Subgroup.relindex_inf_le | [
{
"state_after": "case pos\nG : Type u_1\ninst✝ : Group G\nH K L : Subgroup G\nh : relindex H L = 0\n⊢ relindex (H ⊓ K) L ≤ relindex H L * relindex K L\n\ncase neg\nG : Type u_1\ninst✝ : Group G\nH K L : Subgroup G\nh : ¬relindex H L = 0\n⊢ relindex (H ⊓ K) L ≤ relindex H L * relindex K L",
"state_before": ... | [
442,
82
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
437,
1
] |
Mathlib/Analysis/Convex/Side.lean | AffineSubspace.isPreconnected_setOf_wOppSide | [
{
"state_after": "case inl\nR : Type ?u.501598\nV : Type u_1\nV' : Type ?u.501604\nP : Type u_2\nP' : Type ?u.501610\ninst✝³ : SeminormedAddCommGroup V\ninst✝² : NormedSpace ℝ V\ninst✝¹ : PseudoMetricSpace P\ninst✝ : NormedAddTorsor V P\ns : AffineSubspace ℝ P\nx : P\nh : ↑s = ∅\n⊢ IsPreconnected {y | WOppSide ... | [
926,
58
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
920,
1
] |
Mathlib/Algebra/Hom/NonUnitalAlg.lean | NonUnitalAlgHom.coe_injective | [
{
"state_after": "case mk.mk.mk.mk.mk.mk\nR : Type u\nA : Type v\nB : Type w\nC : Type w₁\ninst✝⁶ : Monoid R\ninst✝⁵ : NonUnitalNonAssocSemiring A\ninst✝⁴ : DistribMulAction R A\ninst✝³ : NonUnitalNonAssocSemiring B\ninst✝² : DistribMulAction R B\ninst✝¹ : NonUnitalNonAssocSemiring C\ninst✝ : DistribMulAction R... | [
144,
52
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
143,
1
] |
Mathlib/LinearAlgebra/BilinearForm.lean | BilinForm.dualBasis_repr_apply | [
{
"state_after": "no goals",
"state_before": "R : Type ?u.1740676\nM : Type ?u.1740679\ninst✝¹⁹ : Semiring R\ninst✝¹⁸ : AddCommMonoid M\ninst✝¹⁷ : Module R M\nR₁ : Type ?u.1740715\nM₁ : Type ?u.1740718\ninst✝¹⁶ : Ring R₁\ninst✝¹⁵ : AddCommGroup M₁\ninst✝¹⁴ : Module R₁ M₁\nR₂ : Type ?u.1741327\nM₂ : Type ?u.... | [
1489,
38
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1486,
1
] |
Mathlib/RingTheory/UniqueFactorizationDomain.lean | associated_of_factorization_eq | [
{
"state_after": "α : Type u_1\ninst✝³ : CancelCommMonoidWithZero α\ninst✝² : UniqueFactorizationMonoid α\ninst✝¹ : NormalizationMonoid α\ninst✝ : DecidableEq α\na b : α\nha : a ≠ 0\nhb : b ≠ 0\nh : normalizedFactors a = normalizedFactors b\n⊢ a ~ᵤ b",
"state_before": "α : Type u_1\ninst✝³ : CancelCommMonoi... | [
2046,
68
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2043,
1
] |
Mathlib/GroupTheory/Subgroup/Basic.lean | MonoidHom.range_top_of_surjective | [] | [
2666,
32
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2664,
1
] |
Mathlib/Topology/MetricSpace/EMetricSpace.lean | uniformity_basis_edist_nnreal_le | [] | [
248,
47
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
244,
1
] |
Mathlib/Algebra/BigOperators/Basic.lean | Finset.prod_const_one | [
{
"state_after": "no goals",
"state_before": "ι : Type ?u.271647\nβ : Type u\nα : Type v\nγ : Type w\ns s₁ s₂ : Finset α\na : α\nf g : α → β\ninst✝ : CommMonoid β\n⊢ ∏ _x in s, 1 = 1",
"tactic": "simp only [Finset.prod, Multiset.map_const', Multiset.prod_replicate, one_pow]"
}
] | [
360,
81
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
359,
1
] |
Mathlib/Analysis/SpecialFunctions/Log/Base.lean | Real.rpow_logb_of_neg | [
{
"state_after": "b x y : ℝ\nb_pos : 0 < b\nb_ne_one : b ≠ 1\nhx : x < 0\n⊢ abs x = -x",
"state_before": "b x y : ℝ\nb_pos : 0 < b\nb_ne_one : b ≠ 1\nhx : x < 0\n⊢ b ^ logb b x = -x",
"tactic": "rw [rpow_logb_eq_abs b_pos b_ne_one (ne_of_lt hx)]"
},
{
"state_after": "no goals",
"state_before... | [
112,
22
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
110,
1
] |
Mathlib/LinearAlgebra/SesquilinearForm.lean | Submodule.mem_orthogonalBilin_iff | [] | [
341,
10
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
340,
1
] |
Mathlib/Order/Monotone/Basic.lean | monotone_int_of_le_succ | [] | [
1056,
46
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1055,
1
] |
Mathlib/RingTheory/IntegralClosure.lean | RingHom.isIntegral_tower_top_of_isIntegral | [] | [
1069,
67
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1068,
1
] |
Mathlib/Order/SuccPred/Basic.lean | Order.Icc_succ_left_of_not_isMax | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\ninst✝¹ : Preorder α\ninst✝ : SuccOrder α\na b : α\nha : ¬IsMax a\n⊢ Icc (succ a) b = Ioc a b",
"tactic": "rw [← Ici_inter_Iic, Ici_succ_of_not_isMax ha, Ioi_inter_Iic]"
}
] | [
320,
64
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
319,
1
] |
Mathlib/Topology/ContinuousFunction/Bounded.lean | BoundedContinuousFunction.arzela_ascoli₁ | [
{
"state_after": "F : Type ?u.808170\nα : Type u\nβ : Type v\nγ : Type w\ninst✝³ : TopologicalSpace α\ninst✝² : CompactSpace α\ninst✝¹ : PseudoMetricSpace β\nf g : α →ᵇ β\nx : α\nC : ℝ\ninst✝ : CompactSpace β\nA : Set (α →ᵇ β)\nclosed : IsClosed A\nH :\n ∀ (x₀ : α) (ε : ℝ),\n ε > 0 → ∃ U, U ∈ 𝓝 x₀ ∧ ∀ (x :... | [
582,
45
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
526,
1
] |
Mathlib/Geometry/Euclidean/Angle/Unoriented/RightAngle.lean | EuclideanGeometry.angle_eq_arctan_of_angle_eq_pi_div_two | [
{
"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 : inner (p₂ -ᵥ p₃) (p₁ -ᵥ p₂) = 0\nh0 : p₃ ≠ p₂\n⊢ ∠ p₂ p₃ p₁ = Real.arctan (dist p₁ p₂ / dist p₃ p₂)",
"state_before": "V : Type ... | [
401,
57
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
395,
1
] |
Mathlib/CategoryTheory/Preadditive/Projective.lean | CategoryTheory.Projective.iso_iff | [] | [
109,
28
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
108,
1
] |
Mathlib/CategoryTheory/Localization/Predicate.lean | CategoryTheory.Functor.IsLocalization.of_iso | [
{
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Mathlib/Analysis/Normed/Group/Basic.lean | MonoidHomClass.continuous_of_bound | [] | [
844,
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842,
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Mathlib/RingTheory/Localization/Away/Basic.lean | IsLocalization.Away.AwayMap.lift_eq | [] | [
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29
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Mathlib/Analysis/SpecialFunctions/Pow/Continuity.lean | continuousAt_cpow_const | [] | [
108,
88
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106,
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Mathlib/NumberTheory/Padics/RingHoms.lean | PadicInt.lift_spec | [
{
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645,
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641,
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Mathlib/LinearAlgebra/Dual.lean | LinearEquiv.dualMap_symm | [] | [
265,
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263,
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Mathlib/Algebra/Module/Basic.lean | self_ne_neg | [] | [
701,
24
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700,
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Mathlib/MeasureTheory/Function/LocallyIntegrable.lean | ContinuousOn.integrableOn_uIcc | [] | [
291,
22
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
289,
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Mathlib/Order/ConditionallyCompleteLattice/Basic.lean | le_ciSup_of_le | [] | [
790,
28
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Mathlib/SetTheory/Cardinal/Cofinality.lean | Ordinal.cof_eq_zero | [
{
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26
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486,
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Mathlib/Order/CompleteLattice.lean | sInf_image | [] | [
1396,
26
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1395,
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Mathlib/Logic/Equiv/LocalEquiv.lean | LocalEquiv.trans_symm_self | [] | [
901,
25
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900,
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Mathlib/Analysis/NormedSpace/Exponential.lean | exp_add_of_mem_ball | [] | [
377,
57
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
374,
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Mathlib/Topology/Bornology/Basic.lean | Bornology.isCobounded_inter | [] | [
192,
16
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191,
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Mathlib/Topology/FiberBundle/Trivialization.lean | Trivialization.apply_symm_apply' | [] | [
413,
45
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411,
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Mathlib/Order/Monotone/Monovary.lean | monovary_const_left | [] | [
95,
96
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Mathlib/LinearAlgebra/LinearPMap.lean | LinearPMap.domRestrict_domain | [] | [
699,
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Mathlib/Combinatorics/Young/YoungDiagram.lean | YoungDiagram.le_of_transpose_le | [
{
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},
{
"state_after"... | [
245,
8
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
241,
11
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Mathlib/LinearAlgebra/Determinant.lean | Basis.det_comp | [
{
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605,
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601,
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Mathlib/GroupTheory/Submonoid/Membership.lean | Submonoid.pow_right_injective_iff_pow_injective | [] | [
481,
44
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
479,
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Mathlib/Data/Set/Intervals/Group.lean | Set.pairwise_disjoint_Ioc_int_cast | [
{
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] | [
266,
76
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
265,
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Mathlib/Analysis/Normed/Group/Basic.lean | Pi.nnnorm_def' | [] | [
2464,
18
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Mathlib/Computability/Primrec.lean | Nat.Primrec'.mul | [
{
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69
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1465,
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Mathlib/Algebra/GroupWithZero/Units/Lemmas.lean | mul_div_mul_right | [] | [
124,
41
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
123,
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Mathlib/Data/Polynomial/RingDivision.lean | Polynomial.irreducible_X_sub_C | [] | [
423,
32
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
422,
1
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Mathlib/Topology/MetricSpace/Infsep.lean | Set.le_einfsep_iff | [
{
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}
] | [
55,
33
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Mathlib/Analysis/Calculus/TangentCone.lean | uniqueDiffOn_convex | [] | [
412,
68
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/CategoryTheory/Limits/KanExtension.lean | CategoryTheory.Lan.coreflective | [
{
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366,
76
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Mathlib/Analysis/InnerProductSpace/Calculus.lean | ContDiffOn.norm | [] | [
206,
80
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Mathlib/Analysis/Normed/Group/Hom.lean | NormedAddGroupHom.coe_zsmul | [] | [
576,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
575,
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Mathlib/Topology/Algebra/Module/Basic.lean | ContinuousLinearMap.isOpenMap_of_ne_zero | [
{
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Mathlib/Analysis/Normed/Group/Basic.lean | norm_pos_iff'' | [] | [
1978,
18
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1977,
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Mathlib/Dynamics/Ergodic/MeasurePreserving.lean | MeasureTheory.MeasurePreserving.restrict_preimage_emb | [
{
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Mathlib/Data/MvPolynomial/Basic.lean | MvPolynomial.coeff_mul_X | [] | [
720,
49
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
718,
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Mathlib/Data/TypeVec.lean | TypeVec.subtypeVal_toSubtype | [
{
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"state_before": "n : ℕ\nα : TypeVec n\np : α ⟹ repeat n Prop\n⊢ subtypeVal p ⊚ toSubtype p = fun x => Subtype.val",
"tactic": "ext (i... | [
806,
11
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802,
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Mathlib/GroupTheory/GroupAction/Basic.lean | MulAction.orbit_smul_subset | [] | [
94,
67
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Algebra/Order/Hom/Monoid.lean | OrderMonoidWithZeroHom.coe_comp_monoidWithZeroHom | [] | [
693,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
691,
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Mathlib/Computability/TMToPartrec.lean | Turing.PartrecToTM2.trList_ne_consₗ | [
{
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},
{
"state_after": "case inl\na : ℕ\nl : List ℕ\nx : Γ'\nh : x ∈ trNat... | [
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34
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1470,
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Mathlib/Data/Sym/Basic.lean | Sym.mem_cons | [] | [
176,
20
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
175,
1
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Mathlib/Data/Finmap.lean | Finmap.empty_toFinmap | [] | [
220,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
219,
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Mathlib/MeasureTheory/Group/Arithmetic.lean | aemeasurable_const_smul_iff | [
{
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92
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Mathlib/Data/Int/Units.lean | Int.eq_one_or_neg_one_of_mul_eq_neg_one | [] | [
118,
93
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
117,
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Mathlib/Algebra/Hom/Group.lean | OneHom.cancel_left | [
{
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1191,
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Mathlib/CategoryTheory/Over.lean | CategoryTheory.Under.map_obj_right | [] | [
428,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
427,
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Mathlib/CategoryTheory/Sites/CoverLifting.lean | CategoryTheory.RanIsSheafOfCoverLifting.gluedSection_is_unique | [
{
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282,
27
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273,
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Mathlib/Algebra/Order/ToIntervalMod.lean | toIcoMod_add_left | [
{
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"tactic": "rw [add_comm, toIcoMod_add_right]"
}
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494,
36
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
493,
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Mathlib/RingTheory/Ideal/Operations.lean | Ideal.le_comap_sup | [] | [
1507,
82
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1506,
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Mathlib/Algebra/Homology/Homotopy.lean | dNext_nat | [
{
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116,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/MeasureTheory/Measure/Portmanteau.lean | MeasureTheory.tendsto_measure_of_le_liminf_measure_of_limsup_measure_le | [
{
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237,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
215,
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Mathlib/RingTheory/Multiplicity.lean | multiplicity.multiplicity_self | [
{
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532,
90
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
529,
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Mathlib/Data/Sym/Basic.lean | Sym.map_zero | [] | [
381,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
380,
1
] |
Mathlib/SetTheory/Cardinal/Cofinality.lean | Ordinal.IsFundamentalSequence.id_of_le_cof | [] | [
579,
38
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
578,
1
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Mathlib/Control/Fix.lean | Part.fix_def | [
{
"state_after": "α : Type u_2\nβ : α → Type u_1\nf : ((a : α) → Part (β a)) → (a : α) → Part (β a)\nx : α\nh' : ∃ i, (Fix.approx f i x).Dom\np : ℕ → Prop := fun i => (Fix.approx f i x).Dom\n⊢ Part.fix f x = Fix.approx f (Nat.succ (Nat.find h')) x",
"state_before": "α : Type u_2\nβ : α → Type u_1\nf : ((a :... | [
110,
55
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
76,
11
] |
Mathlib/Data/Finset/Pairwise.lean | Set.PairwiseDisjoint.elim_finset | [] | [
40,
58
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
38,
1
] |
Mathlib/CategoryTheory/Monoidal/Functor.lean | CategoryTheory.LaxMonoidalFunctor.right_unitality_inv | [
{
"state_after": "no goals",
"state_before": "C : Type u₁\ninst✝³ : Category C\ninst✝² : MonoidalCategory C\nD : Type u₂\ninst✝¹ : Category D\ninst✝ : MonoidalCategory D\nF : LaxMonoidalFunctor C D\nX : C\n⊢ (ρ_ (F.obj X)).inv ≫ (𝟙 (F.obj X) ⊗ F.ε) ≫ μ F X (𝟙_ C) = F.map (ρ_ X).inv",
"tactic": "rw [Is... | [
128,
49
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
125,
1
] |
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