file_path stringlengths 11 79 | full_name stringlengths 2 100 | traced_tactics list | end list | commit stringclasses 4
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values | start list |
|---|---|---|---|---|---|---|
Mathlib/RingTheory/Subring/Basic.lean | Subring.subset_closure | [] | [
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98
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
903,
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Mathlib/LinearAlgebra/FreeModule/Rank.lean | rank_finsupp' | [
{
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Mathlib/GroupTheory/QuotientGroup.lean | QuotientGroup.ker_mk' | [] | [
130,
26
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Mathlib/Data/Ordmap/Ordset.lean | Ordnode.Valid'.map_aux | [
{
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1564,
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Mathlib/Analysis/Calculus/BumpFunctionInner.lean | ContDiffBump.eventuallyEq_one_of_mem_ball | [] | [
427,
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Mathlib/Analysis/SpecialFunctions/Trigonometric/Basic.lean | Real.strictMonoOn_sin | [] | [
602,
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Mathlib/Data/Set/Lattice.lean | Set.biInter_range | [] | [
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Std/Data/List/Lemmas.lean | List.Sublist.append | [] | [
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398,
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Mathlib/MeasureTheory/Measure/MeasureSpace.lean | MeasureTheory.Measure.count_empty | [
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Mathlib/Control/Traversable/Equiv.lean | Equiv.traverse_eq_map_id | [
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Mathlib/Computability/EpsilonNFA.lean | NFA.toεNFA_evalFrom_match | [
{
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206,
6
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Mathlib/Topology/Algebra/Order/MonotoneConvergence.lean | isGLB_of_tendsto_atTop | [] | [
301,
62
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Mathlib/Topology/MetricSpace/Basic.lean | Metric.Bounded.subset_ball | [] | [
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Mathlib/GroupTheory/Subgroup/Basic.lean | SubgroupClass.subtype_comp_inclusion | [
{
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355,
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Mathlib/Topology/Connected.lean | IsPreconnected.union | [
{
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145,
49
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Mathlib/Control/Functor.lean | Functor.map_id | [
{
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"tactic": "apply funext <;> apply id_map"
}
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46,
93
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/MeasureTheory/Function/L1Space.lean | MeasureTheory.withDensitySMulLI_apply | [] | [
980,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Order/UpperLower/Basic.lean | lowerClosure_empty | [] | [
1397,
33
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1396,
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Mathlib/Topology/Algebra/Order/LeftRightLim.lean | Monotone.leftLim_le_rightLim | [] | [
148,
50
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Mathlib/Algebra/GeomSum.lean | geom_sum_mul_add | [
{
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165,
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Mathlib/Topology/Algebra/Group/Basic.lean | TopologicalGroup.continuous_conj_prod | [] | [
461,
58
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Data/Bool/Basic.lean | Bool.eq_false_of_not_eq_true' | [
{
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244,
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Mathlib/CategoryTheory/Sites/Sieves.lean | CategoryTheory.Sieve.sieveOfSubfunctor_functorInclusion | [
{
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
801,
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Mathlib/Algebra/IndicatorFunction.lean | Set.indicator_const_smul_apply | [] | [
506,
42
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
504,
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Mathlib/MeasureTheory/Measure/MeasureSpace.lean | MeasureTheory.isLocallyFiniteMeasure_of_isFiniteMeasureOnCompacts | [
{
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src/lean/Init/SimpLemmas.lean | Bool.or_true | [
{
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] | [
103,
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Mathlib/Order/Filter/Bases.lean | FilterBasis.mem_filter_iff | [] | [
178,
10
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
177,
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Mathlib/Order/Hom/Bounded.lean | BoundedOrderHom.id_comp | [] | [
687,
35
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
686,
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] |
src/lean/Init/Data/Nat/SOM.lean | Nat.SOM.Mon.mul_denote | [
{
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"tactic": "induction fuel generalizing m₁ m₂ with\n| zero => simp! [append_denote]\n| succ _ ih =>\n simp!\n split <;> simp!\n next v... | [
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Mathlib/FieldTheory/Adjoin.lean | IntermediateField.fG_of_fG_toSubalgebra | [
{
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Mathlib/Order/Filter/Basic.lean | Filter.comap_map | [
{
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2302,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Data/Set/Lattice.lean | Set.InjOn.image_biInter_eq | [
{
"state_after": "α : Type u_1\nβ : Type u_3\nγ : Type ?u.188767\nι : Sort u_2\nι' : Sort ?u.188773\nι₂ : Sort ?u.188776\nκ : ι → Sort ?u.188781\nκ₁ : ι → Sort ?u.188786\nκ₂ : ι → Sort ?u.188791\nκ' : ι' → Sort ?u.188796\np : ι → Prop\ns : (i : ι) → p i → Set α\nhp : ∃ i, p i\nf : α → β\nh : InjOn f (⋃ (i : ι) ... | [
1553,
45
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1547,
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Mathlib/Analysis/Calculus/FDeriv/Mul.lean | HasFDerivWithinAt.mul' | [] | [
300,
19
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
297,
1
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Mathlib/Order/Hom/Lattice.lean | LatticeHom.copy_eq | [] | [
1074,
17
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1073,
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Mathlib/Order/Filter/Pi.lean | Filter.coprodᵢ_eq_bot_iff | [
{
"state_after": "no goals",
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}
] | [
230,
49
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
229,
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Mathlib/CategoryTheory/Abelian/Pseudoelements.lean | CategoryTheory.Abelian.Pseudoelement.eq_zero_iff | [
{
"state_after": "no goals",
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"tactic": "simp [h]"
}
] | [
300,
48
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
299,
1
] |
Mathlib/RingTheory/Subsemiring/Pointwise.lean | Subsemiring.smul_mem_pointwise_smul_iff₀ | [] | [
148,
42
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
146,
1
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Mathlib/RingTheory/Valuation/Basic.lean | AddValuation.map_zero | [] | [
663,
23
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
662,
1
] |
Mathlib/Data/PFunctor/Multivariate/M.lean | MvPFunctor.M.dest_corec' | [] | [
249,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
246,
1
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Mathlib/Analysis/Analytic/Basic.lean | FormalMultilinearSeries.radius_eq_top_of_summable_norm | [] | [
313,
82
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
311,
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] |
Mathlib/Analysis/Convex/Quasiconvex.lean | MonotoneOn.quasiconvexOn | [] | [
185,
18
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
184,
1
] |
Std/Data/List/Basic.lean | List.intercalate_eq_intercalateTR | [
{
"state_after": "case h.h.h\nα : Type u_1\nsep : List α\nl : List (List α)\n⊢ intercalate sep l = intercalateTR sep l",
"state_before": "⊢ @intercalate = @intercalateTR",
"tactic": "funext α sep l"
},
{
"state_after": "case h.h.h\nα : Type u_1\nsep : List α\nl : List (List α)\n⊢ join (intersper... | [
253,
27
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
243,
10
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Mathlib/Order/SymmDiff.lean | Codisjoint.bihimp_eq_inf | [
{
"state_after": "no goals",
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"tactic": "rw [bihimp, h.himp_eq_left, h.himp_eq_right]"
}
] | [
287,
47
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
286,
1
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Mathlib/GroupTheory/Submonoid/Operations.lean | Submonoid.map_iSup_comap_of_surjective | [] | [
489,
29
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
488,
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Mathlib/Analysis/Normed/Group/Basic.lean | MonoidHomClass.isometry_iff_norm | [
{
"state_after": "𝓕 : Type u_1\n𝕜 : Type ?u.280047\nα : Type ?u.280050\nι : Type ?u.280053\nκ : Type ?u.280056\nE : Type u_2\nF : Type u_3\nG : Type ?u.280065\ninst✝³ : SeminormedGroup E\ninst✝² : SeminormedGroup F\ninst✝¹ : SeminormedGroup G\ns : Set E\na a₁ a₂ b b₁ b₂ : E\nr r₁ r₂ : ℝ\ninst✝ : MonoidHomClas... | [
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Algebra/Star/Subalgebra.lean | StarAlgHom.ext_adjoin | [
{
"state_after": "case refine'_1\nF : Type u_2\nR : Type u_3\nA : Type u_1\nB : Type u_4\ninst✝⁹ : CommSemiring R\ninst✝⁸ : StarRing R\ninst✝⁷ : Semiring A\ninst✝⁶ : Algebra R A\ninst✝⁵ : StarRing A\ninst✝⁴ : StarModule R A\ninst✝³ : Semiring B\ninst✝² : Algebra R B\ninst✝¹ : StarRing B\nhF : StarAlgHomClass F ... | [
767,
29
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
758,
1
] |
Mathlib/SetTheory/Ordinal/FixedPoint.lean | Ordinal.nfpFamily_eq_self | [
{
"state_after": "no goals",
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"tactic": "rw [List.foldr_fixed' h l]"
}
] | [
142,
82
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
140,
1
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Mathlib/Algebra/Ring/Units.lean | Units.add_divp | [
{
"state_after": "no goals",
"state_before": "α : Type u\nβ : Type v\nγ : Type w\nR : Type x\ninst✝ : Ring α\na✝ b✝ a b : α\nu : αˣ\n⊢ a + b /ₚ u = (a * ↑u + b) /ₚ u",
"tactic": "simp only [divp, add_mul, Units.mul_inv_cancel_right]"
}
] | [
75,
56
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
74,
1
] |
Std/Data/String/Lemmas.lean | String.Iterator.ValidFor.setCurr | [] | [
585,
53
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
584,
1
] |
Mathlib/RingTheory/Ideal/Basic.lean | Ideal.mem_span_singleton_sup | [
{
"state_after": "α : Type u\nβ : Type v\ninst✝¹ : Semiring α\nI✝ : Ideal α\na b : α\nS : Type u_1\ninst✝ : CommSemiring S\nx y : S\nI : Ideal S\n⊢ (∃ y_1, y_1 ∈ span {y} ∧ ∃ z, z ∈ I ∧ y_1 + z = x) ↔ ∃ a b, b ∈ I ∧ a * y + b = x",
"state_before": "α : Type u\nβ : Type v\ninst✝¹ : Semiring α\nI✝ : Ideal α\n... | [
227,
70
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
219,
1
] |
Mathlib/Data/Set/Intervals/Instances.lean | Set.Ico.coe_zero | [] | [
193,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
192,
1
] |
Mathlib/Analysis/BoxIntegral/Basic.lean | BoxIntegral.Integrable.dist_integralSum_sum_integral_le_of_memBaseSet | [] | [
628,
74
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
625,
1
] |
Mathlib/Data/TypeVec.lean | TypeVec.appendFun_aux | [] | [
298,
29
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
296,
1
] |
Mathlib/Data/Fintype/Card.lean | Infinite.of_surjective_from_set | [] | [
997,
48
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
995,
1
] |
Mathlib/Analysis/Asymptotics/SuperpolynomialDecay.lean | Asymptotics.superpolynomialDecay_iff_norm_tendsto_zero | [] | [
323,
48
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
320,
1
] |
Mathlib/LinearAlgebra/Matrix/Basis.lean | basis_toMatrix_basisFun_mul | [
{
"state_after": "no goals",
"state_before": "ι : Type u_1\nι' : Type ?u.555917\nκ : Type ?u.555920\nκ' : Type ?u.555923\nR : Type u_2\nM : Type ?u.555929\ninst✝¹¹ : CommSemiring R\ninst✝¹⁰ : AddCommMonoid M\ninst✝⁹ : Module R M\nR₂ : Type ?u.556116\nM₂ : Type ?u.556119\ninst✝⁸ : CommRing R₂\ninst✝⁷ : AddCo... | [
222,
53
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
216,
1
] |
Mathlib/Data/Seq/Computation.lean | Computation.get_think | [] | [
479,
15
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
476,
1
] |
Mathlib/Order/LiminfLimsup.lean | Filter.isBoundedUnder_const | [] | [
118,
64
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
117,
1
] |
Mathlib/Order/Heyting/Hom.lean | BiheytingHom.coe_copy | [] | [
537,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
536,
1
] |
Mathlib/Analysis/InnerProductSpace/PiL2.lean | EuclideanSpace.nnnorm_single | [] | [
292,
51
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
290,
1
] |
Mathlib/Analysis/LocallyConvex/AbsConvex.lean | AbsConvexOpenSets.coe_isOpen | [] | [
111,
10
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
110,
1
] |
Mathlib/Order/Disjoint.lean | disjoint_bot_left | [] | [
61,
64
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
61,
1
] |
Mathlib/MeasureTheory/Function/SpecialFunctions/Basic.lean | Measurable.sqrt | [] | [
173,
37
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
172,
1
] |
Mathlib/Data/Real/EReal.lean | EReal.mul_comm | [
{
"state_after": "case h_real.h_real\nx y : ℝ\n⊢ ↑x * ↑y = ↑y * ↑x",
"state_before": "x y : EReal\n⊢ x * y = y * x",
"tactic": "induction' x using EReal.rec with x <;> induction' y using EReal.rec with y <;>\n try { rfl }"
},
{
"state_after": "no goals",
"state_before": "case h_real.h_real\... | [
224,
38
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
221,
11
] |
Mathlib/Combinatorics/SimpleGraph/Clique.lean | SimpleGraph.mem_cliqueSet_iff | [] | [
249,
10
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
248,
1
] |
Mathlib/Algebra/DirectLimit.lean | Module.DirectLimit.toModule_totalize_of_le | [
{
"state_after": "R : Type u\ninst✝⁶ : Ring R\nι : Type v\ndec_ι : DecidableEq ι\ninst✝⁵ : Preorder ι\nG : ι → Type w\ninst✝⁴ : (i : ι) → AddCommGroup (G i)\ninst✝³ : (i : ι) → Module R (G i)\nf : (i j : ι) → i ≤ j → G i →ₗ[R] G j\nP : Type u₁\ninst✝² : AddCommGroup P\ninst✝¹ : Module R P\ng : (i : ι) → G i →ₗ[... | [
212,
95
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
203,
1
] |
Mathlib/LinearAlgebra/Matrix/Transvection.lean | Matrix.Pivot.listTransvecCol_mul_mul_listTransvecRow_last_col | [
{
"state_after": "n : Type ?u.204767\np : Type ?u.204770\nR : Type u₂\n𝕜 : Type u_1\ninst✝³ : Field 𝕜\ninst✝² : DecidableEq n\ninst✝¹ : DecidableEq p\ninst✝ : CommRing R\nr : ℕ\nM : Matrix (Fin r ⊕ Unit) (Fin r ⊕ Unit) 𝕜\nhM : M (inr ()) (inr ()) ≠ 0\ni : Fin r\nthis : listTransvecRow M = listTransvecRow (Li... | [
507,
48
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
500,
1
] |
Mathlib/Data/Set/Basic.lean | Set.ssubset_univ_iff | [] | [
723,
20
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
722,
1
] |
Mathlib/RingTheory/PrincipalIdealDomain.lean | Submodule.IsPrincipal.mem_iff_eq_smul_generator | [
{
"state_after": "no goals",
"state_before": "R : Type u\nM : Type v\ninst✝³ : AddCommGroup M\ninst✝² : Ring R\ninst✝¹ : Module R M\nS : Submodule R M\ninst✝ : IsPrincipal S\nx : M\n⊢ x ∈ S ↔ ∃ s, x = s • generator S",
"tactic": "simp_rw [@eq_comm _ x, ← mem_span_singleton, span_singleton_generator]"
... | [
122,
73
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
120,
1
] |
Mathlib/ModelTheory/ElementaryMaps.lean | FirstOrder.Language.ElementarySubstructure.isElementary | [] | [
415,
18
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
414,
1
] |
Mathlib/Data/IsROrC/Basic.lean | IsROrC.continuous_re | [] | [
900,
19
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
899,
1
] |
src/lean/Init/Core.lean | Subtype.eta | [
{
"state_after": "case mk\na b c d : Prop\nα : Type u\np : α → Prop\nval✝ : α\nproperty✝ : p val✝\nh : p { val := val✝, property := property✝ }.val\n⊢ { val := { val := val✝, property := property✝ }.val, property := h } = { val := val✝, property := property✝ }",
"state_before": "a✝ b c d : Prop\nα : Type u\... | [
965,
12
] | d5348dfac847a56a4595fb6230fd0708dcb4e7e9 | https://github.com/leanprover/lean4 | [
963,
1
] |
Mathlib/Data/Part.lean | Part.le_total_of_le_of_le | [
{
"state_after": "case inl\nα : Type u_1\nβ : Type ?u.12580\nγ : Type ?u.12583\nx y z : Part α\nhx : x ≤ z\nhy : y ≤ z\nh : x = none\n⊢ x ≤ y ∨ y ≤ x\n\ncase inr.intro\nα : Type u_1\nβ : Type ?u.12580\nγ : Type ?u.12583\nx y z : Part α\nhx : x ≤ z\nhy : y ≤ z\nb : α\nh₀ : x = some b\n⊢ x ≤ y ∨ y ≤ x",
"stat... | [
419,
11
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
409,
1
] |
Mathlib/LinearAlgebra/AffineSpace/AffineSubspace.lean | AffineSubspace.affineSpan_eq_top_iff_vectorSpan_eq_top_of_nonempty | [
{
"state_after": "k : Type u_2\nV : Type u_3\nP : Type u_1\ninst✝² : Ring k\ninst✝¹ : AddCommGroup V\ninst✝ : Module k V\nS : AffineSpace V P\np₁ p₂ : P\ns : Set P\nhs : Set.Nonempty s\n⊢ vectorSpan k s = ⊤ → affineSpan k s = ⊤",
"state_before": "k : Type u_2\nV : Type u_3\nP : Type u_1\ninst✝² : Ring k\nin... | [
801,
35
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
793,
1
] |
Mathlib/Algebra/Group/Defs.lean | inv_eq_of_mul | [] | [
1091,
43
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1090,
9
] |
Mathlib/Algebra/Star/Pointwise.lean | Set.nonempty_star | [] | [
54,
47
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
53,
1
] |
Mathlib/Algebra/Lie/DirectSum.lean | DirectSum.lie_module_bracket_apply | [] | [
65,
25
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
64,
1
] |
Mathlib/Order/WithBot.lean | WithTop.toDual_symm_apply | [] | [
663,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
662,
1
] |
Mathlib/Data/Set/Enumerate.lean | Set.enumerate_eq_none_of_sel | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\nsel : Set α → Option α\ns : Set α\nh : sel s = none\n⊢ enumerate sel s 0 = none",
"tactic": "simp [h, enumerate]"
},
{
"state_after": "α : Type u_1\nsel : Set α → Option α\ns : Set α\nh : sel s = none\nn : ℕ\n⊢ (do\n let a ← none\n... | [
45,
41
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
43,
1
] |
Mathlib/Data/Matrix/Basic.lean | AlgHom.mapMatrix_comp | [] | [
1607,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1605,
1
] |
Mathlib/MeasureTheory/Function/AEEqFun.lean | MeasureTheory.AEEqFun.coeFn_inf | [] | [
501,
22
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
500,
1
] |
Mathlib/Order/Heyting/Basic.lean | hnot_hnot_hnot | [] | [
1092,
50
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1091,
1
] |
Mathlib/Data/MvPolynomial/Rename.lean | MvPolynomial.rename_rename | [
{
"state_after": "σ : Type u_1\nτ : Type u_4\nα : Type u_3\nR : Type u_2\nS : Type ?u.149749\ninst✝¹ : CommSemiring R\ninst✝ : CommSemiring S\nf : σ → τ\ng : τ → α\np : MvPolynomial σ R\n⊢ ↑(eval₂Hom (algebraMap R (MvPolynomial α R)) (X ∘ g)) (eval₂ C (X ∘ f) p) =\n ↑(eval₂Hom (algebraMap R (MvPolynomial α R... | [
93,
63
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
84,
1
] |
Std/Data/Nat/Lemmas.lean | Nat.pos_iff_ne_zero | [] | [
39,
94
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
39,
11
] |
Mathlib/Order/SuccPred/Limit.lean | Order.isSuccLimit_iff | [] | [
226,
41
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
225,
1
] |
Mathlib/MeasureTheory/Measure/MeasureSpace.lean | MeasureTheory.mem_spanningSets_of_index_le | [] | [
3522,
57
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
3520,
1
] |
Mathlib/Data/Int/Lemmas.lean | Int.strictMonoOn_natAbs | [] | [
89,
42
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
88,
1
] |
Mathlib/Analysis/Calculus/FDeriv/Basic.lean | Asymptotics.IsBigO.hasFDerivWithinAt | [
{
"state_after": "no goals",
"state_before": "𝕜 : Type u_3\ninst✝⁸ : NontriviallyNormedField 𝕜\nE : Type u_1\ninst✝⁷ : NormedAddCommGroup E\ninst✝⁶ : NormedSpace 𝕜 E\nF : Type u_2\ninst✝⁵ : NormedAddCommGroup F\ninst✝⁴ : NormedSpace 𝕜 F\nG : Type ?u.366356\ninst✝³ : NormedAddCommGroup G\ninst✝² : Normed... | [
681,
79
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
676,
1
] |
Mathlib/Order/Bounded.lean | Set.unbounded_lt_univ | [] | [
156,
49
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
155,
1
] |
src/lean/Init/Data/AC.lean | Lean.Data.AC.Context.evalList_insert | [
{
"state_after": "no goals",
"state_before": "α : Sort u_1\nctx : Context α\nh : IsCommutative ctx.op\nx : Nat\nxs : List Nat\n⊢ evalList α ctx (insert x xs) = evalList α ctx (x :: xs)",
"tactic": "induction xs using List.two_step_induction with\n| empty => rfl\n| single =>\n simp [insert]\n split\n ... | [
189,
107
] | d5348dfac847a56a4595fb6230fd0708dcb4e7e9 | https://github.com/leanprover/lean4 | [
170,
1
] |
Mathlib/Algebra/Ring/Prod.lean | RingHom.prodMap_def | [] | [
258,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
257,
1
] |
Mathlib/Data/Seq/WSeq.lean | Stream'.WSeq.liftRel_dropn_destruct | [
{
"state_after": "α : Type u\nβ : Type v\nγ : Type w\nR : α → β → Prop\ns : WSeq α\nt : WSeq β\nH : LiftRel R s t\nn : ℕ\n⊢ Computation.LiftRel\n (fun x x_1 =>\n match x, x_1 with\n | none, none => True\n | some (a, s), some (b, t) => R a b ∧ LiftRel R s t\n | x, x_2 => False)\n (do\n ... | [
1051,
91
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1039,
1
] |
Mathlib/SetTheory/Game/PGame.lean | PGame.moveRight_mk | [] | [
157,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
156,
1
] |
Mathlib/ModelTheory/Substructures.lean | FirstOrder.Language.Substructure.map_injective_of_injective | [] | [
576,
31
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
575,
1
] |
Mathlib/Topology/List.lean | Vector.continuous_insertNth' | [
{
"state_after": "α : Type u_1\nβ : Type ?u.66987\ninst✝¹ : TopologicalSpace α\ninst✝ : TopologicalSpace β\nn : ℕ\ni : Fin (n + 1)\nx✝ : α × Vector α n\na : α\nl : Vector α n\n⊢ Tendsto (fun p => insertNth p.fst i p.snd) (𝓝 a ×ˢ 𝓝 l) (𝓝 (insertNth (a, l).fst i (a, l).snd))",
"state_before": "α : Type u_1... | [
210,
61
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
207,
1
] |
Mathlib/Data/Polynomial/IntegralNormalization.lean | Polynomial.integralNormalization_coeff_degree | [
{
"state_after": "no goals",
"state_before": "R : Type u\nS : Type v\na b : R\nm n : ℕ\nι : Type y\ninst✝ : Semiring R\nf : R[X]\ni : ℕ\nhi : degree f = ↑i\n⊢ coeff (integralNormalization f) i = 1",
"tactic": "rw [integralNormalization_coeff, if_pos hi]"
}
] | [
66,
92
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
65,
1
] |
Mathlib/Data/Nat/Prime.lean | Nat.succ_dvd_or_succ_dvd_of_succ_sum_dvd_mul | [
{
"state_after": "p : ℕ\np_prime : Prime p\nm n k l : ℕ\nhpm : p ^ k ∣ m\nhpn : p ^ l ∣ n\nhpmn : p ^ (k + l + 1) ∣ m * n\nhpd : p ^ (k + l) * p ∣ m * n\n⊢ p ^ (k + 1) ∣ m ∨ p ^ (l + 1) ∣ n",
"state_before": "p : ℕ\np_prime : Prime p\nm n k l : ℕ\nhpm : p ^ k ∣ m\nhpn : p ^ l ∣ n\nhpmn : p ^ (k + l + 1) ∣ m... | [
743,
64
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
730,
1
] |
Mathlib/Order/Bounds/Basic.lean | IsGreatest.bddAbove | [] | [
340,
11
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
339,
1
] |
Mathlib/Algebra/Module/Basic.lean | smulAddHom_apply | [] | [
201,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
200,
1
] |
Mathlib/Topology/UniformSpace/CompactConvergence.lean | ContinuousMap.hasBasis_nhds_compactConvergence | [] | [
190,
80
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
186,
1
] |
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