file_path stringlengths 11 79 | full_name stringlengths 2 100 | traced_tactics list | end list | commit stringclasses 4
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Mathlib/Topology/Algebra/Module/FiniteDimension.lean | ContinuousLinearMap.coe_toContinuousLinearEquivOfDetNeZero | [
{
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Mathlib/FieldTheory/Adjoin.lean | IntermediateField.adjoin_induction | [] | [
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60
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Mathlib/Control/Traversable/Equiv.lean | Equiv.lawfulFunctor' | [
{
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Mathlib/Data/Option/NAry.lean | Option.map_map₂_distrib_right | [
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166,
46
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Mathlib/Data/Fin/Basic.lean | Fin.mk_lt_mk | [] | [
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Mathlib/RingTheory/Ideal/Operations.lean | Ideal.map_comap_map | [] | [
1458,
32
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1457,
1
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Mathlib/MeasureTheory/Integral/IntegrableOn.lean | MeasureTheory.integrableOn_finite_iUnion | [
{
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Mathlib/Topology/MetricSpace/Lipschitz.lean | LipschitzWith.of_dist_le' | [
{
"state_after": "case h\nα : Type u\nβ : Type v\nγ : Type w\nι : Type x\ninst✝² : PseudoMetricSpace α\ninst✝¹ : PseudoMetricSpace β\ninst✝ : PseudoMetricSpace γ\nK✝ : ℝ≥0\nf : α → β\nx✝ y✝ : α\nr K : ℝ\nh : ∀ (x y : α), dist (f x) (f y) ≤ K * dist x y\nx y : α\n⊢ K ≤ ↑(Real.toNNReal K)",
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Mathlib/GroupTheory/FreeGroup.lean | FreeGroup.Red.append_append_left_iff | [
{
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"tactic": "simp [append_append_left_iff L, cons_cons_iff]"
}
] | [
282,
64
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Algebra/Quaternion.lean | Quaternion.star_add_self | [] | [
1121,
18
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Mathlib/RingTheory/FinitePresentation.lean | RingHom.FinitePresentation.comp | [
{
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Mathlib/Algebra/Order/Field/Basic.lean | inv_le_inv_of_neg | [
{
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"tactic": "rw [← one_div, div_le_iff_of_neg ha, ← div_eq_inv_mul, div_le_iff_of_neg hb, one_mul]"
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] | [
760,
88
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Mathlib/MeasureTheory/Integral/SetIntegral.lean | MeasureTheory.integral_union_eq_left_of_ae | [
{
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Mathlib/Data/Real/ENNReal.lean | ENNReal.toNNReal_iSup | [
{
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Mathlib/Algebra/Order/Field/Basic.lean | one_half_pos | [] | [
511,
23
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Mathlib/Data/Set/Image.lean | Function.Injective.image_injective | [
{
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},
{
"state_aft... | [
1317,
61
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1315,
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Mathlib/Analysis/SpecialFunctions/Exp.lean | ContinuousAt.cexp | [] | [
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Mathlib/Analysis/Complex/Basic.lean | Complex.norm_int | [] | [
167,
74
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Order/Ideal.lean | Order.Ideal.ext | [] | [
115,
15
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Mathlib/Analysis/Asymptotics/Asymptotics.lean | Asymptotics.isBigOWith_const_mul_self | [] | [
1442,
48
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1440,
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Mathlib/Topology/Category/TopCat/Limits/Products.lean | TopCat.prodIsoProd_inv_fst | [
{
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"tactic": "simp [Iso.inv_comp_eq]"
}
] | [
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Mathlib/Order/ConditionallyCompleteLattice/Basic.lean | csInf_le_csSup | [] | [
674,
60
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673,
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Mathlib/Data/MvPolynomial/Basic.lean | MvPolynomial.eval₂_mul | [
{
"state_after": "case h_C\nR : Type u\nS₁ : Type v\nS₂ : Type w\nS₃ : Type x\nσ : Type u_1\na a' a₁ a₂ : R\ne : ℕ\nn m : σ\ns : σ →₀ ℕ\ninst✝¹ : CommSemiring R\ninst✝ : CommSemiring S₁\np q : MvPolynomial σ R\nf : R →+* S₁\ng : σ → S₁\n⊢ ∀ (a : R) {p : MvPolynomial σ R}, eval₂ f g (p * ↑C a) = eval₂ f g p * ev... | [
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Mathlib/MeasureTheory/Function/Egorov.lean | MeasureTheory.Egorov.measure_notConvergentSeq_tendsto_zero | [
{
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Mathlib/GroupTheory/FreeAbelianGroup.lean | FreeAbelianGroup.add_bind | [] | [
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/RingTheory/WittVector/Basic.lean | WittVector.mapFun.surjective | [
{
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Mathlib/Data/Countable/Defs.lean | Equiv.countable_iff | [] | [
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Mathlib/Data/Int/Order/Basic.lean | Int.mul_le_of_le_ediv | [] | [
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Mathlib/Order/Filter/Extr.lean | IsMaxFilter.sup | [] | [
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Mathlib/Order/Interval.lean | Interval.map_map | [] | [
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23
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Mathlib/Topology/MetricSpace/IsometricSMul.lean | Metric.preimage_mul_left_closedBall | [] | [
486,
33
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484,
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Mathlib/Algebra/Module/Submodule/Lattice.lean | Submodule.sum_mem_iSup | [] | [
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44
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Mathlib/Logic/Equiv/LocalEquiv.lean | LocalEquiv.right_inv | [] | [
226,
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225,
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Mathlib/Topology/Algebra/GroupCompletion.lean | AddMonoidHom.continuous_completion | [] | [
276,
17
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
274,
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Mathlib/Data/Finsupp/Order.lean | Finsupp.single_tsub | [
{
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"state_before": "ι : Type u_1\nα : Type u_2\ninst✝² : CanonicallyOrderedAddMonoid ... | [
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203,
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Mathlib/Data/Polynomial/Derivative.lean | Polynomial.derivative_of_natDegree_zero | [
{
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"tactic": "rw [eq_C_of_natDegree_eq_zero hp, derivative_C]"
}
] | [
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Mathlib/Data/Sum/Order.lean | Sum.Lex.inl_strictMono | [] | [
414,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/LinearAlgebra/AffineSpace/Independent.lean | Affine.Simplex.face_centroid_eq_centroid | [
{
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Mathlib/Algebra/Free.lean | FreeMagma.mul_map_seq | [] | [
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Mathlib/FieldTheory/IsAlgClosed/Basic.lean | IsAlgClosed.algebraMap_surjective_of_isIntegral | [
{
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Mathlib/RingTheory/FiniteType.lean | MonoidAlgebra.mem_closure_of_mem_span_closure | [
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Mathlib/Analysis/NormedSpace/LinearIsometry.lean | LinearIsometryEquiv.continuousAt | [] | [
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28
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680,
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Mathlib/Order/Filter/Extr.lean | IsMaxFilter.tendsto_principal_Iic | [] | [
155,
24
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Mathlib/Algebra/Lie/Submodule.lean | LieSubmodule.mem_bot | [] | [
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20
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379,
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Mathlib/Data/Real/Pi/Bounds.lean | Real.sqrtTwoAddSeries_step_up | [
{
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Mathlib/Order/Heyting/Basic.lean | compl_bot | [
{
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"tactic": "rw [← himp_bot, himp_self]"
}
] | [
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Mathlib/Topology/DiscreteQuotient.lean | DiscreteQuotient.map_id | [
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Mathlib/Data/Option/NAry.lean | Option.map_map₂_distrib_left | [
{
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160,
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Mathlib/Algebra/Order/Ring/Defs.lean | neg_le_self_iff | [
{
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] | [
1102,
96
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1101,
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Mathlib/Data/Real/Hyperreal.lean | Hyperreal.eq_of_isSt_real | [] | [
368,
28
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Mathlib/Analysis/NormedSpace/lpSpace.lean | lp.coeFn_smul | [] | [
648,
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Mathlib/Analysis/SpecialFunctions/Pow/Real.lean | Real.rpow_sum_of_pos | [] | [
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Mathlib/Topology/Algebra/Order/IntermediateValue.lean | setOf_isPreconnected_eq_of_ordered | [
{
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Std/Data/String/Lemmas.lean | String.revFindAux_of_valid | [
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Mathlib/Algebra/Hom/Equiv/Units/Basic.lean | Equiv.mulRight_symm_apply | [] | [
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Mathlib/Analysis/Normed/Group/Hom.lean | NormedAddGroupHom.comp_range | [
{
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Mathlib/Data/Real/Irrational.lean | Irrational.of_inv | [] | [
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Mathlib/Data/QPF/Univariate/Basic.lean | Qpf.comp_map | [
{
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Mathlib/LinearAlgebra/Alternating.lean | AlternatingMap.compLinearMap_assoc | [] | [
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Mathlib/GroupTheory/Submonoid/Membership.lean | Submonoid.mem_powers | [] | [
433,
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Mathlib/Analysis/Asymptotics/Asymptotics.lean | Asymptotics.IsLittleO.isBigOWith | [] | [
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Mathlib/RingTheory/Subsemiring/Basic.lean | Submonoid.subsemiringClosure_toAddSubmonoid | [] | [
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Mathlib/Topology/UniformSpace/Basic.lean | Uniform.continuousAt_iff_prod | [] | [
1936,
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Mathlib/RingTheory/Int/Basic.lean | Int.normalize_of_nonneg | [
{
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Mathlib/RingTheory/PowerSeries/Basic.lean | MvPolynomial.coe_add | [] | [
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Mathlib/Analysis/Normed/Group/Seminorm.lean | NonarchAddGroupNorm.apply_one | [] | [
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Mathlib/RingTheory/RootsOfUnity/Basic.lean | IsPrimitiveRoot.of_map_of_injective | [
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Mathlib/Data/Multiset/Powerset.lean | Multiset.pairwise_disjoint_powersetLen | [] | [
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Mathlib/CategoryTheory/Sites/Sheaf.lean | CategoryTheory.Presheaf.isSheaf_iff_isSheaf_forget | [
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Mathlib/Order/Lattice.lean | inf_eq_left | [
{
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433,
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Mathlib/Analysis/Convex/Quasiconvex.lean | QuasiconcaveOn.dual | [] | [
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Std/Data/String/Lemmas.lean | Substring.ValidFor.drop | [
{
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Mathlib/Data/Sym/Basic.lean | Sym.map_id | [
{
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370,
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Mathlib/Order/BooleanAlgebra.lean | compl_himp | [] | [
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Mathlib/Order/Cover.lean | Covby.ne | [] | [
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Mathlib/Algebra/Group/Basic.lean | one_div_one_div | [
{
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Mathlib/Topology/CompactOpen.lean | ContinuousMap.continuous_of_continuous_uncurry | [] | [
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27
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Mathlib/SetTheory/Ordinal/Arithmetic.lean | Ordinal.lt_bsup | [
{
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Mathlib/Topology/Algebra/Module/Basic.lean | Submodule.subtypeL_apply | [] | [
1047,
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Mathlib/Data/List/Indexes.lean | List.foldlIdx_eq_foldl_enum | [
{
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] | [
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Mathlib/Algebra/Category/ModuleCat/EpiMono.lean | ModuleCat.epi_iff_range_eq_top | [] | [
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Mathlib/Topology/MetricSpace/EMetricSpace.lean | EMetric.diam_closedBall | [] | [
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36
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Mathlib/Analysis/LocallyConvex/WeakDual.lean | LinearMap.coe_toSeminorm | [] | [
63,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
62,
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Mathlib/MeasureTheory/Function/LpSpace.lean | MeasureTheory.Memℒp.norm_rpow_div | [
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Mathlib/LinearAlgebra/TensorProduct.lean | TensorProduct.ext' | [
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Mathlib/Data/Multiset/Pi.lean | Multiset.mem_pi | [
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Std/Data/List/Lemmas.lean | List.mem_cons_of_mem | [] | [
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85
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Mathlib/Data/Polynomial/Basic.lean | Polynomial.erase_same | [
{
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1067,
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Mathlib/Data/Set/Finite.lean | Set.Finite.iInf_biSup_of_antitone | [] | [
1495,
73
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1492,
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Mathlib/Data/Nat/Digits.lean | Nat.digitsAux_zero | [
{
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}
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1
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Mathlib/Algebra/Order/Archimedean.lean | existsUnique_sub_zsmul_mem_Ico | [
{
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Mathlib/MeasureTheory/Function/L1Space.lean | MeasureTheory.Integrable.left_of_add_measure | [
{
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535,
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Mathlib/CategoryTheory/Sites/Whiskering.lean | CategoryTheory.GrothendieckTopology.Cover.multicospanComp_hom_inv_right | [] | [
98,
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Mathlib/Data/Set/Pointwise/Basic.lean | Set.union_mul | [] | [
442,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
441,
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Mathlib/Analysis/Convex/Combination.lean | Finset.centerMass_filter_ne_zero | [
{
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129,
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Mathlib/CategoryTheory/Monoidal/Mon_.lean | Mon_.Mon_tensor_mul_one | [
{
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41
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
421,
1
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Mathlib/Algebra/Algebra/Unitization.lean | Unitization.inl_smul | [] | [
275,
29
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
273,
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Mathlib/Data/Sigma/Lex.lean | Sigma.lex_swap | [
{
"state_after": "case mpr.left\nι : Type u_1\nα : ι → Type u_2\nr r₁ r₂ : ι → ι → Prop\ns s₁ s₂ : (i : ι) → α i → α i → Prop\ni✝ j✝ : ι\na : α i✝\nb : α j✝\nh : r i✝ j✝\n⊢ Lex (Function.swap r) s { fst := j✝, snd := b } { fst := i✝, snd := a }\n\ncase mpr.right\nι : Type u_1\nα : ι → Type u_2\nr r₁ r₂ : ι → ι ... | [
87,
47
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
84,
1
] |
Mathlib/Data/Real/ENNReal.lean | ENNReal.half_le_self | [] | [
1759,
47
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1758,
11
] |
Mathlib/LinearAlgebra/LinearIndependent.lean | exists_linearIndependent_extension | [
{
"state_after": "case intro.intro.intro.intro\nι : Type u'\nι' : Type ?u.1258140\nR : Type ?u.1258143\nK : Type u_1\nM : Type ?u.1258149\nM' : Type ?u.1258152\nM'' : Type ?u.1258155\nV : Type u\nV' : Type ?u.1258160\ninst✝⁴ : DivisionRing K\ninst✝³ : AddCommGroup V\ninst✝² : AddCommGroup V'\ninst✝¹ : Module K ... | [
1285,
39
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1270,
1
] |
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