file_path stringlengths 11 79 | full_name stringlengths 2 100 | traced_tactics list | end list | commit stringclasses 4
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Mathlib/Topology/ContinuousFunction/Basic.lean | ContinuousMap.liftCover_restrict' | [] | [
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94
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449,
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Mathlib/Analysis/Convex/Join.lean | convexJoin_singleton_right | [
{
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"state_before": "ι : Sort ?u.27529\n𝕜 : Type u_2\nE : Type u_1\ninst✝² : OrderedSemiring 𝕜\ninst✝¹ : AddCommMonoid E\ninst✝ : Module 𝕜 E\ns✝ t s₁ s₂ t₁ t₂ u : Set E\nx y✝ : E\ns : Set E\ny : E\n⊢ convexJoin 𝕜 s {y} = ⋃ (x : E) (_ : x ∈ s), segment 𝕜 x y",
"tactic": "sim... | [
76,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Topology/UniformSpace/Cauchy.lean | cauchy_map_iff' | [] | [
74,
43
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Mathlib/Data/Matrix/Kronecker.lean | Matrix.kroneckerMap_map | [] | [
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Mathlib/FieldTheory/Normal.lean | AlgEquiv.restrictNormalHom_surjective | [] | [
458,
44
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456,
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Mathlib/NumberTheory/Padics/PadicIntegers.lean | PadicInt.coe_neg | [] | [
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Mathlib/Topology/Basic.lean | eventually_nhds_iff | [
{
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"tactic": "simp o... | [
894,
77
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Mathlib/Algebra/Associated.lean | Irreducible.not_square | [
{
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"state_before": "α : Type u_1\nβ : Type ?u.95275\nγ : Type ?u.95278\nδ : Type ?u.95281\ninst✝ : CommMonoid α\na : α\nha : Irreducible a\n⊢ ¬Is... | [
302,
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299,
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Mathlib/Topology/UniformSpace/Equicontinuity.lean | equicontinuousAt_iff_pair | [
{
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142,
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Mathlib/Algebra/MonoidAlgebra/Basic.lean | MonoidAlgebra.liftNC_mul | [
{
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204,
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Mathlib/Topology/Algebra/Module/WeakDual.lean | WeakBilin.coeFn_continuous | [] | [
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25
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Mathlib/Topology/SubsetProperties.lean | Subtype.irreducibleSpace | [] | [
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38
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Analysis/SpecificLimits/Normed.lean | tendsto_self_mul_const_pow_of_abs_lt_one | [
{
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"tactic": "simpa only [pow_one] using tendsto_pow_const_mul_const_pow_of_abs_lt_one 1 hr"
}
] | [
257,
80
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Algebra/Star/Subalgebra.lean | StarSubalgebra.mem_sup_left | [] | [
636,
44
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
635,
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Mathlib/Algebra/Tropical/Basic.lean | Tropical.trop_untrop | [] | [
97,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
96,
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Mathlib/MeasureTheory/MeasurableSpaceDef.lean | MeasurableSet.biInter | [
{
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"state_bef... | [
169,
83
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167,
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Mathlib/Topology/MetricSpace/Infsep.lean | Set.infsep_nonneg | [] | [
346,
24
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
345,
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Mathlib/MeasureTheory/Measure/MeasureSpace.lean | MeasureTheory.Measure.restrict_compl_add_restrict | [
{
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1746,
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Mathlib/Data/Polynomial/Basic.lean | Polynomial.C_0 | [
{
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"tactic": "simp"
}
] | [
499,
39
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
499,
1
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Mathlib/Combinatorics/Composition.lean | Composition.coe_embedding | [] | [
319,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
317,
1
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Mathlib/Data/Real/Irrational.lean | irrational_mul_rat_iff | [
{
"state_after": "no goals",
"state_before": "q : ℚ\nm : ℤ\nn : ℕ\nx : ℝ\n⊢ Irrational (x * ↑q) ↔ q ≠ 0 ∧ Irrational x",
"tactic": "rw [mul_comm, irrational_rat_mul_iff]"
}
] | [
609,
40
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
608,
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Mathlib/Analysis/Convex/Hull.lean | convexHull_neg | [
{
"state_after": "𝕜 : Type u_2\nE : Type u_1\nF : Type ?u.48966\ninst✝⁴ : OrderedRing 𝕜\ninst✝³ : AddCommGroup E\ninst✝² : AddCommGroup F\ninst✝¹ : Module 𝕜 E\ninst✝ : Module 𝕜 F\ns✝ s : Set E\n⊢ ↑(convexHull 𝕜).toOrderHom (Neg.neg '' s) = Neg.neg '' ↑(convexHull 𝕜).toOrderHom s",
"state_before": "𝕜 ... | [
230,
50
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
228,
1
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Mathlib/Order/CompleteLattice.lean | sSup_image | [
{
"state_after": "no goals",
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1392,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1391,
1
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Mathlib/Data/Multiset/Basic.lean | Multiset.rel_cons_left | [
{
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2720,
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Mathlib/Data/PNat/Xgcd.lean | PNat.XgcdType.flip_w | [] | [
192,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/CategoryTheory/Preadditive/HomOrthogonal.lean | CategoryTheory.HomOrthogonal.eq_zero | [
{
"state_after": "C : Type u\ninst✝¹ : Category C\nι : Type u_1\ns : ι → C\ninst✝ : HasZeroMorphisms C\no : HomOrthogonal s\ni j : ι\nw : i ≠ j\nf : s i ⟶ s j\nthis : Subsingleton (s i ⟶ s j)\n⊢ f = 0",
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Data/Rat/NNRat.lean | Rat.toNNRat_mul | [
{
"state_after": "case inl\np q : ℚ\nhp : 0 ≤ p\nhq : 0 ≤ q\n⊢ toNNRat (p * q) = toNNRat p * toNNRat q\n\ncase inr\np q : ℚ\nhp : 0 ≤ p\nhq : q ≤ 0\n⊢ toNNRat (p * q) = toNNRat p * toNNRat q",
"state_before": "p q : ℚ\nhp : 0 ≤ p\n⊢ toNNRat (p * q) = toNNRat p * toNNRat q",
"tactic": "cases' le_total 0 ... | [
415,
63
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
411,
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Mathlib/Data/Real/Sqrt.lean | Real.le_sqrt | [] | [
305,
45
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
304,
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Mathlib/GroupTheory/Submonoid/Basic.lean | Submonoid.coe_sInf | [] | [
318,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
317,
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Mathlib/Algebra/Hom/NonUnitalAlg.lean | AlgHom.toNonUnitalAlgHom_eq_coe | [] | [
436,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
435,
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Mathlib/CategoryTheory/IsConnected.lean | CategoryTheory.IsConnected.of_induct | [
{
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Topology/Homeomorph.lean | Homeomorph.embedding | [] | [
246,
28
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
245,
11
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Mathlib/Analysis/Normed/Group/AddTorsor.lean | nndist_vadd_cancel_right | [] | [
113,
44
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
112,
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Mathlib/Data/Finsupp/Basic.lean | Finsupp.single_sub | [] | [
1152,
42
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1151,
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Mathlib/Combinatorics/Quiver/Push.lean | Quiver.Push.of_obj | [] | [
55,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Analysis/SpecialFunctions/Log/Deriv.lean | DifferentiableAt.log | [] | [
162,
43
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
160,
1
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Mathlib/Data/Complex/Exponential.lean | Real.one_le_exp_iff | [] | [
1557,
24
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1556,
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Mathlib/Data/Finset/Prod.lean | Finset.Nonempty.product | [] | [
192,
35
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
189,
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Mathlib/Data/Set/Intervals/Basic.lean | Set.mem_Icc_of_Ioc | [] | [
671,
24
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
670,
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Mathlib/Algebra/GroupWithZero/Units/Lemmas.lean | mul_inv_eq_one₀ | [] | [
52,
34
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Combinatorics/Additive/SalemSpencer.lean | rothNumberNat_add_le | [
{
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"state_before": "F : Type ?u.152613\nα : Type ?u.152616\nβ : Type ?u.1526... | [
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Mathlib/Dynamics/PeriodicPts.lean | Function.periodicOrbit_apply_eq | [] | [
558,
38
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
556,
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Mathlib/Data/Fintype/BigOperators.lean | Fintype.eq_of_subsingleton_of_prod_eq | [] | [
101,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
99,
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Mathlib/MeasureTheory/Function/SimpleFunc.lean | MeasureTheory.SimpleFunc.eq_zero_of_mem_range_zero | [] | [
560,
37
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Order/Basic.lean | lt_of_strongLT | [
{
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"state_before": "ι : Type u_1\nα : Type u\nβ : Type v\nγ : Type w\nπ : ι → Typ... | [
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Mathlib/Data/Finmap.lean | Finmap.disjoint_union_left | [
{
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"tactic": "simp [Disjoint, Finmap.mem_union, or_imp, forall_and]"
}
] | [
674,
59
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Data/Set/Intervals/Monotone.lean | Monotone.Ici | [] | [
41,
32
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
40,
11
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Mathlib/Analysis/Convex/Hull.lean | convexHull_eq_iInter | [] | [
66,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
64,
1
] |
Mathlib/Data/Real/ENNReal.lean | ENNReal.mul_max | [] | [
996,
77
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
996,
1
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Mathlib/CategoryTheory/Limits/Shapes/Pullbacks.lean | CategoryTheory.Limits.hasPushout_assoc | [] | [
2553,
45
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2552,
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Mathlib/Analysis/Convex/Body.lean | ConvexBody.isCompact | [] | [
72,
15
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
71,
11
] |
Mathlib/Algebra/Order/Ring/Canonical.lean | tsub_mul | [] | [
156,
42
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
155,
1
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Mathlib/GroupTheory/FreeProduct.lean | FreeProduct.Word.cons_eq_smul | [
{
"state_after": "ι : Type u_2\nM : ι → Type u_1\ninst✝³ : (i : ι) → Monoid (M i)\nN : Type ?u.440478\ninst✝² : Monoid N\ninst✝¹ : (i : ι) → DecidableEq (M i)\ninst✝ : DecidableEq ι\ni : ι\nm : M i\nls : List ((i : ι) × M i)\nh1 : ∀ (l : (i : ι) × M i), l ∈ { fst := i, snd := m } :: ls → l.snd ≠ 1\nh2 : List.Ch... | [
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Mathlib/LinearAlgebra/Matrix/SesquilinearForm.lean | LinearMap.mul_toMatrix₂'_mul | [
{
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320,
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Mathlib/RingTheory/Polynomial/Quotient.lean | Ideal.isDomain_map_C_quotient | [] | [
160,
93
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158,
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Mathlib/Data/Real/ConjugateExponents.lean | Real.IsConjugateExponent.mul_eq_add | [
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] | [
88,
76
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
87,
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Mathlib/LinearAlgebra/FreeModule/Basic.lean | Module.free_def | [] | [
61,
85
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
53,
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Mathlib/Analysis/Convex/Function.lean | ConcaveOn.right_le_of_le_left | [] | [
761,
43
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
759,
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src/lean/Init/Prelude.lean | usize_size_eq | [
{
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{
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"state_before": "⊢ Eq (hPow 2 64) 18446744073709551616",
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}
] | [
1979,
40
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1975,
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Mathlib/Algebra/Order/Floor.lean | Int.preimage_Ioo | [
{
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Mathlib/LinearAlgebra/AffineSpace/AffineSubspace.lean | AffineSubspace.mem_direction_iff_eq_vsub_right | [
{
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323,
91
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
320,
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Mathlib/MeasureTheory/PiSystem.lean | MeasurableSpace.DynkinSystem.has_univ | [
{
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] | [
572,
72
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
572,
1
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Mathlib/Data/Vector/Basic.lean | Vector.last_def | [] | [
289,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
288,
1
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Mathlib/Dynamics/Circle/RotationNumber/TranslationNumber.lean | CircleDeg1Lift.translate_apply | [] | [
299,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
298,
1
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Mathlib/Data/Finset/Basic.lean | Finset.insert_eq_of_mem | [] | [
1099,
33
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1098,
1
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Mathlib/Analysis/Normed/Group/Quotient.lean | Ideal.Quotient.norm_mk_lt | [] | [
493,
18
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
491,
8
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Mathlib/Topology/Sheaves/SheafCondition/PairwiseIntersections.lean | TopCat.Sheaf.objSupIsoProdEqLocus_inv_fst | [] | [
493,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
488,
1
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Mathlib/Analysis/NormedSpace/LinearIsometry.lean | LinearIsometryEquiv.dist_map | [] | [
981,
34
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
980,
1
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Mathlib/Data/MvPolynomial/Comap.lean | MvPolynomial.comap_apply | [] | [
47,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
45,
1
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Mathlib/Algebra/Order/CompleteField.lean | LinearOrderedField.inducedMap_mono | [] | [
190,
79
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
189,
1
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Mathlib/CategoryTheory/StructuredArrow.lean | CategoryTheory.CostructuredArrow.ext_iff | [] | [
372,
30
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
371,
1
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Mathlib/MeasureTheory/Function/SimpleFuncDenseLp.lean | MeasureTheory.SimpleFunc.integrable_of_isFiniteMeasure | [] | [
397,
63
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
396,
1
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Mathlib/RingTheory/DedekindDomain/Ideal.lean | irreducible_pow_sup | [
{
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94
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940,
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Mathlib/Data/Nat/PartENat.lean | PartENat.add_one_le_of_lt | [
{
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"tactic": "induction' y using PartENat.casesOn with n"
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{
"state_after": "case a.intro... | [
503,
53
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
498,
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Mathlib/Topology/Maps.lean | inducing_induced | [] | [
72,
61
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
71,
1
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Mathlib/Order/Basic.lean | le_update_self_iff | [
{
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}
] | [
886,
83
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
886,
1
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Mathlib/MeasureTheory/Function/SimpleFunc.lean | MeasureTheory.SimpleFunc.forall_range_iff | [
{
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}
] | [
126,
46
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
125,
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Mathlib/Data/List/Infix.lean | List.eq_of_infix_of_length_eq | [] | [
119,
25
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
118,
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Mathlib/Analysis/LocallyConvex/AbsConvex.lean | gaugeSeminormFamily_ball | [
{
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158,
78
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
153,
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Mathlib/Data/Real/ENNReal.lean | ENNReal.mul_le_of_le_div' | [] | [
1603,
36
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1602,
1
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Mathlib/Algebra/Order/Group/Defs.lean | StrictMono.inv | [] | [
1318,
28
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1317,
1
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Mathlib/Computability/PartrecCode.lean | Nat.Partrec.Code.fixed_point | [
{
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1186,
39
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1171,
1
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Mathlib/Analysis/Asymptotics/Asymptotics.lean | Asymptotics.isLittleO_map | [
{
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444,
44
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
443,
1
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Mathlib/LinearAlgebra/BilinearForm.lean | BilinForm.mem_skewAdjointSubmodule | [
{
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1164,
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1161,
1
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Mathlib/Analysis/InnerProductSpace/Basic.lean | InnerProductSpace.Core.normSq_eq_zero | [
{
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"tactic": "simp only [normSq, ext_iff, map_zero, inner_self_im, eq_self_iff_true, and_tr... | [
267,
40
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
264,
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Mathlib/Algebra/Hom/Equiv/Basic.lean | MulEquiv.invFun_eq_symm | [] | [
272,
63
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
272,
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Mathlib/Analysis/NormedSpace/LinearIsometry.lean | LinearIsometryEquiv.coe_coe | [] | [
936,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
935,
1
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Mathlib/MeasureTheory/Function/Jacobian.lean | MeasureTheory.integral_image_eq_integral_abs_det_fderiv_smul | [
{
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65
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Analysis/NormedSpace/Multilinear.lean | continuousMultilinearCurryFin1_symm_apply | [] | [
1741,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1739,
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Mathlib/Order/Filter/AtTopBot.lean | Filter.atTop_finset_eq_iInf | [
{
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"tact... | [
1369,
20
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1362,
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Mathlib/Algebra/Order/Rearrangement.lean | MonovaryOn.sum_mul_comp_perm_eq_sum_mul_iff | [] | [
364,
44
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
361,
1
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Mathlib/Analysis/Convex/Function.lean | ConvexOn.openSegment_subset_strict_epigraph | [
{
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95
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
561,
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Mathlib/Topology/ContinuousOn.lean | continuousWithinAt_singleton | [
{
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"tactic": "simp only [Cont... | [
759,
74
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
758,
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Mathlib/Data/Option/Basic.lean | Option.bind_eq_bind | [] | [
104,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
103,
1
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Mathlib/Data/Int/Order/Basic.lean | Int.toNat_le_toNat | [
{
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"state_before": "a✝ b✝ : ℤ\nn : ℕ\na b : ℤ\nh : a ≤ b\n⊢ toNat a ≤ toNat b",
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{
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"tac... | [
517,
52
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
516,
1
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Mathlib/Analysis/Calculus/Inverse.lean | ApproximatesLinearOn.continuous | [] | [
173,
26
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
172,
11
] |
Mathlib/MeasureTheory/Measure/MeasureSpaceDef.lean | MeasureTheory.measure_empty | [] | [
188,
10
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
187,
1
] |
Mathlib/LinearAlgebra/AffineSpace/FiniteDimensional.lean | finite_of_fin_dim_affineIndependent | [
{
"state_after": "k : Type u_1\nV : Type u_2\nP : Type u_3\nι : Type u_4\ninst✝⁴ : DivisionRing k\ninst✝³ : AddCommGroup V\ninst✝² : Module k V\ninst✝¹ : AffineSpace V P\ninst✝ : FiniteDimensional k V\np : ι → P\nhi : AffineIndependent k p\n✝ : Nontrivial ι\n⊢ _root_.Finite ι",
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90,
100
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
84,
1
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Mathlib/Analysis/Calculus/FDeriv/Add.lean | differentiableWithinAt_const_add_iff | [
{
"state_after": "no goals",
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280,
69
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
278,
1
] |
Mathlib/GroupTheory/Sylow.lean | not_dvd_index_sylow' | [
{
"state_after": "p : ℕ\nG : Type u_1\ninst✝¹ : Group G\nhp : Fact (Nat.Prime p)\nP : Sylow p G\ninst✝ : Normal ↑P\nfP : FiniteIndex ↑P\nh : p ∣ index ↑P\n⊢ False",
"state_before": "p : ℕ\nG : Type u_1\ninst✝¹ : Group G\nhp : Fact (Nat.Prime p)\nP : Sylow p G\ninst✝ : Normal ↑P\nfP : FiniteIndex ↑P\n⊢ ¬p ∣ ... | [
445,
30
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
429,
1
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