file_path stringlengths 11 79 | full_name stringlengths 2 100 | traced_tactics list | end list | commit stringclasses 4
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|---|---|---|---|---|---|---|
Mathlib/RingTheory/NonUnitalSubsemiring/Basic.lean | NonUnitalSubsemiring.srange_subtype | [] | [
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66
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Mathlib/Topology/MetricSpace/IsometricSMul.lean | Metric.smul_ball | [] | [
432,
45
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
431,
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Mathlib/CategoryTheory/Limits/Shapes/WidePullbacks.lean | CategoryTheory.Limits.WidePushout.eq_desc_of_comp_eq | [
{
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Mathlib/Algebra/Hom/NonUnitalAlg.lean | NonUnitalAlgHom.congr_fun | [] | [
168,
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167,
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Mathlib/Logic/Equiv/Defs.lean | Equiv.equivCongr_refl_right | [] | [
417,
60
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416,
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Mathlib/Control/Functor/Multivariate.lean | MvFunctor.of_mem_supp | [] | [
65,
45
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
64,
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Mathlib/Topology/Algebra/ContinuousAffineMap.lean | ContinuousAffineMap.smul_apply | [] | [
206,
80
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
206,
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src/lean/Init/Data/Option/Instances.lean | Option.eq_of_eq_some | [] | [
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Mathlib/CategoryTheory/Limits/FunctorCategory.lean | CategoryTheory.Limits.limitObjIsoLimitCompEvaluation_inv_π_app | [
{
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232,
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Mathlib/Control/LawfulFix.lean | Pi.continuous_uncurry | [
{
"state_after": "case h.mk\nα : Type u_1\nβ : α → Type u_2\nγ : (a : α) → β a → Type u_3\ninst✝ : (x : α) → (y : β x) → OmegaCompletePartialOrder (γ x y)\nc : Chain ((a : α) → (b : β a) → γ a b)\nx : α\ny : β x\n⊢ ↑(monotoneUncurry α β γ) (ωSup c) { fst := x, snd := y } =\n ωSup (Chain.map c (monotoneUncurr... | [
262,
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Mathlib/Topology/Compactification/OnePoint.lean | OnePoint.continuousAt_infty' | [] | [
375,
69
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
373,
1
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Mathlib/FieldTheory/RatFunc.lean | RatFunc.intDegree_X | [
{
"state_after": "no goals",
"state_before": "K : Type u\ninst✝ : Field K\n⊢ intDegree X = 1",
"tactic": "rw [intDegree, RatFunc.num_X, Polynomial.natDegree_X, RatFunc.denom_X, Polynomial.natDegree_one,\n Int.ofNat_one, Int.ofNat_zero, sub_zero]"
}
] | [
1589,
45
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1587,
1
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Mathlib/Order/Filter/Basic.lean | Filter.mem_iInf_of_iInter | [
{
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"... | [
593,
39
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
589,
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Mathlib/Analysis/BoxIntegral/Basic.lean | BoxIntegral.norm_integral_le_of_norm_le | [
{
"state_after": "case pos\nι : Type u\nE : Type v\nF : Type w\ninst✝⁵ : NormedAddCommGroup E\ninst✝⁴ : NormedSpace ℝ E\ninst✝³ : NormedAddCommGroup F\ninst✝² : NormedSpace ℝ F\nI J : Box ι\nπ : TaggedPrepartition I\ninst✝¹ : Fintype ι\nl : IntegrationParams\nf g✝ : (ι → ℝ) → E\nvol : ι →ᵇᵃ[⊤] E →L[ℝ] F\ny y' :... | [
398,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
388,
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Mathlib/Logic/Pairwise.lean | Reflexive.set_pairwise_iff | [] | [
83,
9
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
80,
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Mathlib/Algebra/GroupPower/Lemmas.lean | zmultiplesHom_apply | [] | [
882,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
881,
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Mathlib/Analysis/Calculus/Deriv/Mul.lean | HasDerivWithinAt.smul | [
{
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65,
62
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Algebra/Star/CHSH.lean | CHSH_inequality_of_comm | [
{
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"state_before": "R : Type u\nin... | [
150,
54
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
127,
1
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Mathlib/Algebra/Algebra/Hom.lean | AlgHom.toLinearMap_ofLinearMap | [
{
"state_after": "case h\nR : Type u\nA : Type v\nB : Type w\nC : Type u₁\nD : Type v₁\ninst✝⁸ : CommSemiring R\ninst✝⁷ : Semiring A\ninst✝⁶ : Semiring B\ninst✝⁵ : Semiring C\ninst✝⁴ : Semiring D\ninst✝³ : Algebra R A\ninst✝² : Algebra R B\ninst✝¹ : Algebra R C\ninst✝ : Algebra R D\nφ : A →ₐ[R] B\nf : A →ₗ[R] B... | [
412,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
409,
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Mathlib/FieldTheory/Adjoin.lean | IntermediateField.adjoin_subset_adjoin_iff | [] | [
368,
91
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
363,
1
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Mathlib/LinearAlgebra/Dimension.lean | rank_submodule_le | [
{
"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.89139\nR : Type u\ninst✝⁶ : Ring R\nM : Type v\ninst✝⁵ : AddCommGroup M\ninst✝⁴ : Module R M\nM' : Type v'\ninst✝³ : AddCommGroup M'\ninst✝² : Module R M'\nM₁ : Type v\nin... | [
232,
40
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
230,
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Mathlib/Topology/SubsetProperties.lean | IsClopen.isClosed | [] | [
1540,
75
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1540,
11
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Mathlib/LinearAlgebra/QuadraticForm/Basic.lean | BilinForm.toQuadraticForm_zero | [] | [
662,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
661,
1
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Mathlib/Data/Real/EReal.lean | EReal.coe_injective | [] | [
98,
27
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
97,
1
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Mathlib/MeasureTheory/Measure/FiniteMeasure.lean | MeasureTheory.FiniteMeasure.ennreal_mass | [] | [
166,
46
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
165,
1
] |
Mathlib/Analysis/Calculus/UniformLimitsDeriv.lean | hasFDerivAt_of_tendstoUniformly | [
{
"state_after": "ι : Type u_1\nl : Filter ι\nE : Type u_2\ninst✝⁵ : NormedAddCommGroup E\n𝕜 : Type u_4\ninst✝⁴ : IsROrC 𝕜\ninst✝³ : NormedSpace 𝕜 E\nG : Type u_3\ninst✝² : NormedAddCommGroup G\ninst✝¹ : NormedSpace 𝕜 G\nf : ι → E → G\ng : E → G\nf' : ι → E → E →L[𝕜] G\ng' : E → E →L[𝕜] G\nx✝ : E\ninst✝ :... | [
443,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
436,
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Mathlib/Order/Bounds/OrderIso.lean | OrderIso.upperBounds_image | [] | [
27,
58
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
23,
1
] |
Mathlib/LinearAlgebra/Matrix/Reindex.lean | Matrix.mul_reindexLinearEquiv_one | [] | [
114,
26
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
109,
1
] |
Mathlib/Algebra/Order/Rearrangement.lean | AntivaryOn.sum_mul_lt_sum_mul_comp_perm_iff | [] | [
423,
44
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
420,
1
] |
Mathlib/Algebra/Order/Archimedean.lean | exists_rat_lt | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\ninst✝¹ : LinearOrderedField α\ninst✝ : Archimedean α\nx✝ y ε x : α\nn : ℤ\nh : ↑n < x\n⊢ ↑↑n < x",
"tactic": "rwa [Rat.cast_coe_int]"
}
] | [
260,
33
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
258,
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] |
Mathlib/RingTheory/AdjoinRoot.lean | AdjoinRoot.Minpoly.toAdjoin.apply_X | [
{
"state_after": "no goals",
"state_before": "R : Type u\nS : Type v\nK : Type w\ninst✝² : CommRing R\ninst✝¹ : CommRing S\ninst✝ : Algebra R S\nx : S\n⊢ ↑(toAdjoin R x) (↑(mk (minpoly R x)) X) = { val := x, property := (_ : x ∈ adjoin R {x}) }",
"tactic": "simp [toAdjoin]"
}
] | [
637,
20
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
635,
1
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Mathlib/LinearAlgebra/Multilinear/Basic.lean | MultilinearMap.coe_smul | [] | [
235,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
234,
1
] |
Mathlib/Data/Set/Pointwise/Basic.lean | Set.image_div_prod | [] | [
617,
15
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
616,
1
] |
Mathlib/Algebra/Hom/Equiv/Basic.lean | Equiv.inv_symm | [] | [
798,
59
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
798,
1
] |
Mathlib/Probability/Kernel/Basic.lean | ProbabilityTheory.kernel.measure_le_bound | [] | [
147,
78
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
145,
1
] |
Mathlib/CategoryTheory/Endofunctor/Algebra.lean | CategoryTheory.Endofunctor.Coalgebra.comp_eq_comp | [] | [
341,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
340,
1
] |
Mathlib/Analysis/Seminorm.lean | Seminorm.coe_restrictScalars | [] | [
1087,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1086,
1
] |
Mathlib/Topology/UniformSpace/AbstractCompletion.lean | AbstractCompletion.extension₂_coe_coe | [] | [
337,
36
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
334,
1
] |
Mathlib/Tactic/NormNum/Prime.lean | Mathlib.Meta.NormNum.minFacHelper_3 | [
{
"state_after": "n k k' : ℕ\ne : k + 2 = k'\nnk : beq (n % k) 0 = false\nh : MinFacHelper n k\nh2 : minFac n = k\n⊢ False",
"state_before": "n k k' : ℕ\ne : k + 2 = k'\nnk : beq (n % k) 0 = false\nh : MinFacHelper n k\n⊢ MinFacHelper n k'",
"tactic": "refine minFacHelper_1 e h λ h2 ↦ ?_"
},
{
"... | [
100,
27
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
95,
1
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Mathlib/Data/Fin/Tuple/Sort.lean | Tuple.monotone_sort | [
{
"state_after": "n : ℕ\nα : Type u_1\ninst✝ : LinearOrder α\nf : Fin n → α\n⊢ Monotone (graph.proj ∘ ↑(graphEquiv₂ f))",
"state_before": "n : ℕ\nα : Type u_1\ninst✝ : LinearOrder α\nf : Fin n → α\n⊢ Monotone (f ∘ ↑(sort f))",
"tactic": "rw [self_comp_sort]"
},
{
"state_after": "no goals",
"... | [
110,
56
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
108,
1
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Mathlib/Combinatorics/SimpleGraph/Connectivity.lean | SimpleGraph.Walk.length_concat | [] | [
410,
60
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
409,
1
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Mathlib/Data/Nat/PSub.lean | Nat.psub_succ | [] | [
55,
64
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
55,
1
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Mathlib/Data/Real/ENNReal.lean | ENNReal.le_of_forall_pos_nnreal_lt | [] | [
1679,
75
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1677,
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] |
Mathlib/Computability/Ackermann.lean | ack_strict_mono_left' | [
{
"state_after": "no goals",
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},
{
"state_after": "m n : ℕ\nh : 0 < m + 1\n⊢ n + 1 + 1 < ack m (ack (m + 1) n)",
"state_before": "m n : ℕ\nh : 0 < m + 1\n⊢ ack 0 (n + 1) < ack... | [
218,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
204,
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] |
Mathlib/Data/Fintype/Card.lean | Finset.card_univ_diff | [] | [
287,
36
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
285,
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Mathlib/Analysis/Convex/Combination.lean | Finset.centroid_mem_convexHull | [
{
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Mathlib/NumberTheory/PythagoreanTriples.lean | PythagoreanTriple.classified | [
{
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"state_before": "x y z : ℤ\nh : PythagoreanTriple x y z\n⊢ IsClassified h",
"tactic": "by_cases h0 : I... | [
593,
56
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
581,
1
] |
Mathlib/Topology/Instances/ENNReal.lean | ENNReal.tsum_union_le | [] | [
1024,
56
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1021,
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src/lean/Init/Control/ExceptCps.lean | ExceptCpsT.runCatch_lift | [
{
"state_after": "no goals",
"state_before": "m : Type u → Type u_1\nα : Type u\ninst✝¹ : Monad m\ninst✝ : LawfulMonad m\nx : m α\n⊢ runCatch (lift x) = x",
"tactic": "simp [runCatch, lift]"
}
] | [
65,
24
] | d5348dfac847a56a4595fb6230fd0708dcb4e7e9 | https://github.com/leanprover/lean4 | [
64,
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Mathlib/Data/Finset/Basic.lean | Finset.union_sdiff_self | [] | [
2215,
23
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Topology/MetricSpace/Basic.lean | isCompact_sphere | [] | [
2130,
99
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2128,
1
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Mathlib/RingTheory/UniqueFactorizationDomain.lean | Associates.le_of_count_ne_zero | [
{
"state_after": "α : Type u_1\ninst✝¹ : CancelCommMonoidWithZero α\ndec_irr : (p : Associates α) → Decidable (Irreducible p)\ninst✝ : UniqueFactorizationMonoid α\ndec : DecidableEq α\ndec' : DecidableEq (Associates α)\nm p : Associates α\nh0 : m ≠ 0\nhp : Irreducible p\n✝ : Nontrivial α\n⊢ count p (factors m) ... | [
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13
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1693,
1
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Mathlib/RingTheory/Adjoin/Basic.lean | Algebra.adjoin_eq_span | [
{
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193,
45
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
164,
1
] |
Mathlib/Topology/UniformSpace/Equiv.lean | UniformEquiv.preimage_image | [] | [
238,
29
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
237,
1
] |
Mathlib/Algebra/GeomSum.lean | Commute.geom_sum₂_mul_add | [
{
"state_after": "α : Type u\ninst✝ : Semiring α\nx y : α\nh : Commute x y\nn : ℕ\nf : ℕ → ℕ → α := fun m i => (x + y) ^ i * y ^ (m - 1 - i)\n⊢ (∑ i in range n, (x + y) ^ i * y ^ (n - 1 - i)) * x + y ^ n = (x + y) ^ n",
"state_before": "α : Type u\ninst✝ : Semiring α\nx y : α\nh : Commute x y\nn : ℕ\n⊢ (∑ i... | [
130,
81
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
107,
11
] |
Mathlib/LinearAlgebra/TensorProduct.lean | LinearMap.lTensor_tmul | [] | [
990,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
989,
1
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Mathlib/Geometry/Manifold/SmoothManifoldWithCorners.lean | LocalHomeomorph.extend_target | [
{
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804,
94
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
803,
1
] |
Mathlib/Data/List/Basic.lean | List.drop_append | [
{
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"state_before": "ι : Type ?u.207245\nα : Type u\nβ : Type v\nγ : Type w\nδ : Type x\nl₁✝ l₂✝ l₁ l₂ : List α\ni : ℕ\n⊢ drop (length l₁ + i) (l₁ ++ l₂) = drop i l₂",
"tactic": "rw [drop_append_eq_append_drop, drop_eq_nil_of_le] <;> simp"
}
] | [
2189,
62
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2188,
1
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Mathlib/RingTheory/AlgebraicIndependent.lean | algebraicIndependent_bounded_of_finset_algebraicIndependent_bounded | [
{
"state_after": "ι : Type ?u.505754\nι' : Type ?u.505757\nR : Type u_2\nK : Type ?u.505763\nA : Type u_1\nA' : Type ?u.505769\nA'' : Type ?u.505772\nV : Type u\nV' : Type ?u.505777\nx : ι → A\ninst✝⁶ : CommRing R\ninst✝⁵ : CommRing A\ninst✝⁴ : CommRing A'\ninst✝³ : CommRing A''\ninst✝² : Algebra R A\ninst✝¹ : ... | [
255,
63
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
247,
1
] |
Mathlib/RingTheory/UniqueFactorizationDomain.lean | Associates.prod_mono | [
{
"state_after": "α : Type u_1\ninst✝ : CancelCommMonoidWithZero α\nb : FactorSet α\nh : none ≤ b\nthis : b = ⊤\n⊢ FactorSet.prod none ≤ FactorSet.prod b",
"state_before": "α : Type u_1\ninst✝ : CancelCommMonoidWithZero α\nb : FactorSet α\nh : none ≤ b\n⊢ FactorSet.prod none ≤ FactorSet.prod b",
"tactic... | [
1264,
90
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1259,
1
] |
Mathlib/Data/Ordmap/Ordset.lean | Ordnode.Sized.balance' | [
{
"state_after": "α : Type u_1\nl : Ordnode α\nx : α\nr : Ordnode α\nhl : Sized l\nhr : Sized r\n⊢ Sized\n (if size l + size r ≤ 1 then Ordnode.node' l x r\n else\n if size r > delta * size l then Ordnode.rotateL l x r\n else if size l > delta * size r then Ordnode.rotateR l x r else Ordnode.nod... | [
439,
22
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
434,
1
] |
Mathlib/LinearAlgebra/Basic.lean | LinearMap.iterate_surjective | [
{
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378,
42
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
374,
1
] |
Std/Data/Int/DivMod.lean | Int.fmod_eq_mod | [] | [
338,
40
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
337,
1
] |
Std/Data/List/Lemmas.lean | List.enum_map_fst | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\nl : List α\n⊢ map Prod.fst (enum l) = range (length l)",
"tactic": "simp only [enum, enumFrom_map_fst, range_eq_range']"
}
] | [
1959,
54
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
1958,
9
] |
Mathlib/Algebra/TrivSqZeroExt.lean | TrivSqZeroExt.inl_add | [] | [
319,
28
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
317,
1
] |
Mathlib/Data/Int/Log.lean | Int.self_le_zpow_clog | [
{
"state_after": "case inl\nR : Type u_1\ninst✝¹ : LinearOrderedSemifield R\ninst✝ : FloorSemiring R\nb : ℕ\nhb : 1 < b\nr : R\nhr : r ≤ 0\n⊢ r ≤ ↑b ^ clog b r\n\ncase inr\nR : Type u_1\ninst✝¹ : LinearOrderedSemifield R\ninst✝ : FloorSemiring R\nb : ℕ\nhb : 1 < b\nr : R\nhr : 0 < r\n⊢ r ≤ ↑b ^ clog b r",
"... | [
250,
53
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
244,
1
] |
Mathlib/Data/List/Range.lean | List.finRange_zero | [] | [
135,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
134,
1
] |
Mathlib/Order/Heyting/Hom.lean | CoheytingHom.comp_apply | [] | [
464,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
463,
1
] |
Mathlib/Topology/FiberBundle/Trivialization.lean | Pretrivialization.symm_trans_symm | [
{
"state_after": "no goals",
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213,
73
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
211,
1
] |
Mathlib/MeasureTheory/Function/StronglyMeasurable/Basic.lean | MeasureTheory.SimpleFunc.aestronglyMeasurable | [] | [
1184,
44
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1182,
1
] |
Mathlib/Analysis/Normed/Group/Basic.lean | dist_norm_norm_le' | [] | [
572,
28
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
571,
1
] |
Mathlib/MeasureTheory/Measure/MeasureSpace.lean | MeasureTheory.Measure.count_eq_zero_iff | [] | [
2296,
58
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2295,
1
] |
Mathlib/Topology/PartitionOfUnity.lean | BumpCovering.sum_toPouFun_eq | [
{
"state_after": "ι : Type u\nX : Type v\ninst✝ : TopologicalSpace X\ns✝ : Set X\nf : BumpCovering ι X s✝\nx : X\ns : Finset ι := Finite.toFinset (_ : Set.Finite {i | ↑(toFun s✝ f i) x ≠ 0})\n⊢ (∑ᶠ (i : ι), toPouFun f i x) = 1 - ∏ᶠ (i : ι), 1 - ↑(toFun s✝ f i) x",
"state_before": "ι : Type u\nX : Type v\nin... | [
412,
28
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
398,
1
] |
Mathlib/Analysis/NormedSpace/LinearIsometry.lean | LinearIsometry.coe_toLinearMap | [] | [
164,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
163,
1
] |
Mathlib/Data/Seq/Seq.lean | Stream'.Seq.mem_cons_iff | [
{
"state_after": "no goals",
"state_before": "α : Type u\nβ : Type v\nγ : Type w\na b : α\ns : Seq α\n⊢ a = b ∨ a ∈ s → a ∈ cons b s",
"tactic": "rintro (rfl | m) <;> [apply mem_cons; exact mem_cons_of_mem _ m]"
}
] | [
204,
95
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
203,
1
] |
Mathlib/Topology/Algebra/Order/Compact.lean | eq_Icc_of_connected_compact | [] | [
233,
84
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
231,
1
] |
Mathlib/Data/Sym/Basic.lean | Sym.coe_append | [] | [
516,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
515,
1
] |
Mathlib/CategoryTheory/Monad/Algebra.lean | CategoryTheory.Comonad.ofLeftAdjoint_forget | [] | [
528,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
527,
1
] |
Mathlib/FieldTheory/IntermediateField.lean | IntermediateField.coe_one | [] | [
272,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
271,
11
] |
Mathlib/Analysis/SpecialFunctions/Pow/Deriv.lean | Real.hasStrictFDerivAt_rpow_of_neg | [
{
"state_after": "x y z : ℝ\np : ℝ × ℝ\nhp : p.fst < 0\nthis : (fun x => x.fst ^ x.snd) =ᶠ[𝓝 p] fun x => exp (log x.fst * x.snd) * cos (x.snd * π)\n⊢ HasStrictFDerivAt (fun x => x.fst ^ x.snd)\n ((p.snd * p.fst ^ (p.snd - 1)) • ContinuousLinearMap.fst ℝ ℝ ℝ +\n (p.fst ^ p.snd * log p.fst - exp (log p.f... | [
290,
50
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
278,
1
] |
Mathlib/RingTheory/Subsemiring/Basic.lean | Subsemiring.mem_map_equiv | [
{
"state_after": "no goals",
"state_before": "R : Type u\nS : Type v\nT : Type w\ninst✝² : NonAssocSemiring R\nM : Submonoid R\ninst✝¹ : NonAssocSemiring S\ninst✝ : NonAssocSemiring T\nf : R ≃+* S\nK : Subsemiring R\nx : S\n⊢ x ∈ map (↑f) K ↔ ↑(RingEquiv.symm f) x ∈ K",
"tactic": "convert @Set.mem_image... | [
833,
60
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
831,
1
] |
Mathlib/Topology/MetricSpace/HausdorffDistance.lean | Metric.exists_dist_lt_of_hausdorffDist_lt' | [
{
"state_after": "ι : Sort ?u.79415\nα : Type u\nβ : Type v\ninst✝¹ : PseudoMetricSpace α\ninst✝ : PseudoMetricSpace β\ns t u : Set α\nx y : α\nΦ : α → β\nr : ℝ\nh : y ∈ t\nH : hausdorffDist t s < r\nfin : hausdorffEdist s t ≠ ⊤\n⊢ ∃ x, x ∈ s ∧ dist x y < r",
"state_before": "ι : Sort ?u.79415\nα : Type u\n... | [
819,
69
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
815,
1
] |
Std/Data/List/Lemmas.lean | List.erase_nil | [] | [
1029,
59
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
1029,
9
] |
Mathlib/Order/Bounds/Basic.lean | isLUB_le_iff | [
{
"state_after": "α : Type u\nβ : Type v\nγ : Type w\nι : Sort x\ninst✝¹ : Preorder α\ninst✝ : Preorder β\ns t : Set α\na b : α\nh : IsLUB s a\n⊢ a ≤ b ↔ b ∈ Ici a",
"state_before": "α : Type u\nβ : Type v\nγ : Type w\nι : Sort x\ninst✝¹ : Preorder α\ninst✝ : Preorder β\ns t : Set α\na b : α\nh : IsLUB s a\... | [
312,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
310,
1
] |
Mathlib/Data/Polynomial/Monic.lean | Polynomial.monic_X_sub_C | [
{
"state_after": "no goals",
"state_before": "R : Type u\nS : Type v\na b : R\nm n : ℕ\nι : Type y\ninst✝ : Ring R\np : R[X]\nx : R\n⊢ Monic (X - ↑C x)",
"tactic": "simpa only [sub_eq_add_neg, C_neg] using monic_X_add_C (-x)"
}
] | [
375,
62
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
374,
1
] |
Mathlib/Topology/UniformSpace/Basic.lean | UniformContinuous.comp | [] | [
1136,
13
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1134,
8
] |
Mathlib/AlgebraicTopology/SimplexCategory.lean | SimplexCategory.Hom.toOrderHom_mk | [] | [
129,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
127,
1
] |
Mathlib/LinearAlgebra/Matrix/Determinant.lean | Matrix.det_eq_of_eq_mul_det_one | [
{
"state_after": "no goals",
"state_before": "m : Type ?u.1667151\nn : Type u_1\ninst✝⁴ : DecidableEq n\ninst✝³ : Fintype n\ninst✝² : DecidableEq m\ninst✝¹ : Fintype m\nR : Type v\ninst✝ : CommRing R\nA B C : Matrix n n R\nhC : det C = 1\nhA : A = B ⬝ C\n⊢ det B * det C = det B",
"tactic": "rw [hC, mul_... | [
437,
37
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
432,
1
] |
Mathlib/RingTheory/PowerBasis.lean | PowerBasis.exists_eq_aeval | [
{
"state_after": "no goals",
"state_before": "R : Type u_2\nS : Type u_1\nT : Type ?u.39838\ninst✝⁸ : CommRing R\ninst✝⁷ : Ring S\ninst✝⁶ : Algebra R S\nA : Type ?u.40141\nB : Type ?u.40144\ninst✝⁵ : CommRing A\ninst✝⁴ : CommRing B\ninst✝³ : IsDomain B\ninst✝² : Algebra A B\nK : Type ?u.40566\ninst✝¹ : Fiel... | [
132,
72
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
130,
1
] |
Mathlib/RingTheory/Derivation/Basic.lean | Derivation.coe_comp | [] | [
308,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
307,
1
] |
Mathlib/CategoryTheory/Arrow.lean | CategoryTheory.Arrow.iso_w' | [] | [
182,
10
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
180,
1
] |
Mathlib/Data/Finite/Defs.lean | Infinite.false | [] | [
137,
33
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
136,
11
] |
Mathlib/MeasureTheory/Integral/IntegralEqImproper.lean | MeasureTheory.AECover.integral_eq_of_tendsto_of_nonneg_ae | [] | [
510,
44
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
505,
1
] |
Mathlib/Data/Set/Basic.lean | Set.mem_empty_iff_false | [] | [
563,
10
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
562,
1
] |
Mathlib/Data/Nat/Fib.lean | Nat.fast_fib_eq | [
{
"state_after": "no goals",
"state_before": "n : ℕ\n⊢ fastFib n = fib n",
"tactic": "rw [fastFib, fast_fib_aux_eq]"
}
] | [
248,
84
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
248,
1
] |
Mathlib/Algebra/Hom/Ring.lean | NonUnitalRingHom.mul_def | [] | [
321,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
320,
1
] |
Mathlib/Algebra/EuclideanDomain/Basic.lean | EuclideanDomain.lcm_eq_zero_iff | [
{
"state_after": "case mp\nR : Type u\ninst✝¹ : EuclideanDomain R\ninst✝ : DecidableEq R\nx y : R\n⊢ lcm x y = 0 → x = 0 ∨ y = 0\n\ncase mpr\nR : Type u\ninst✝¹ : EuclideanDomain R\ninst✝ : DecidableEq R\nx y : R\n⊢ x = 0 ∨ y = 0 → lcm x y = 0",
"state_before": "R : Type u\ninst✝¹ : EuclideanDomain R\ninst✝... | [
325,
28
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
309,
1
] |
Mathlib/RingTheory/Noetherian.lean | isNoetherian_of_fg_of_noetherian | [
{
"state_after": "R : Type u_1\nM : Type u_2\ninst✝² : Ring R\ninst✝¹ : AddCommGroup M\ninst✝ : Module R M\nN : Submodule R M\nI : IsNoetherianRing R\nhN : FG N\ns : Finset M\nhs : span R ↑s = N\n⊢ IsNoetherian R { x // x ∈ N }",
"state_before": "R : Type u_1\nM : Type u_2\ninst✝² : Ring R\ninst✝¹ : AddComm... | [
568,
53
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
536,
1
] |
Mathlib/Data/Nat/PartENat.lean | PartENat.eq_natCast_sub_of_add_eq_natCast | [
{
"state_after": "case intro\ny : PartENat\nn x : ℕ\nh : ↑x + y = ↑n\n⊢ ↑x = ↑(n - Part.get y (_ : y.Dom))",
"state_before": "x y : PartENat\nn : ℕ\nh : x + y = ↑n\n⊢ x = ↑(n - Part.get y (_ : y.Dom))",
"tactic": "lift x to ℕ using dom_of_le_natCast ((le_add_right le_rfl).trans_eq h)"
},
{
"stat... | [
457,
53
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
452,
1
] |
Mathlib/Analysis/Calculus/TangentCone.lean | tangentCone_univ | [
{
"state_after": "𝕜 : Type u_2\ninst✝⁶ : NontriviallyNormedField 𝕜\nE : Type u_1\ninst✝⁵ : NormedAddCommGroup E\ninst✝⁴ : NormedSpace 𝕜 E\nF : Type ?u.5583\ninst✝³ : NormedAddCommGroup F\ninst✝² : NormedSpace 𝕜 F\nG : Type ?u.5673\ninst✝¹ : NormedAddCommGroup G\ninst✝ : NormedSpace ℝ G\nx y✝ : E\ns t : Set ... | [
102,
35
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
91,
1
] |
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