file_path stringlengths 11 79 | full_name stringlengths 2 100 | traced_tactics list | end list | commit stringclasses 4
values | url stringclasses 4
values | start list |
|---|---|---|---|---|---|---|
Mathlib/FieldTheory/RatFunc.lean | RatFunc.num_div_denom | [
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Mathlib/Algebra/Order/Ring/Abs.lean | abs_sub_sq | [
{
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114,
37
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/LinearAlgebra/FiniteDimensional.lean | Submodule.fg_iff_finiteDimensional | [] | [
699,
99
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698,
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Mathlib/Combinatorics/Quiver/Symmetric.lean | Quiver.Path.reverse_reverse | [
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168,
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Mathlib/Data/List/Indexes.lean | List.mapIdxMGo_eq_mapIdxMAuxSpec | [
{
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330,
26
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
313,
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Mathlib/Topology/MetricSpace/HausdorffDistance.lean | EMetric.hausdorffEdist_self_closure | [
{
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] | [
389,
67
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/MeasureTheory/Measure/OuterMeasure.lean | MeasureTheory.OuterMeasure.comap_map | [
{
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"tactic": "rw [comap... | [
621,
65
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
620,
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Mathlib/Data/List/Cycle.lean | Cycle.next_mem | [
{
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29
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
871,
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Mathlib/Analysis/NormedSpace/Multilinear.lean | MultilinearMap.mkContinuousMultilinear_norm_le' | [
{
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Mathlib/Analysis/NormedSpace/LinearIsometry.lean | LinearIsometryEquiv.toLinearEquiv_trans | [] | [
813,
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Mathlib/MeasureTheory/Function/L1Space.lean | MeasureTheory.Integrable.prod_mk | [] | [
791,
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Mathlib/Algebra/Order/ToIntervalMod.lean | toIxxMod_cyclic_left | [
{
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"state_before": "α : Type u_1\ninst✝ : LinearOrderedA... | [
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858,
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Mathlib/Geometry/Manifold/LocalInvariantProperties.lean | StructureGroupoid.LocalInvariantProp.liftPropWithinAt_congr_iff | [] | [
421,
88
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
419,
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Mathlib/Analysis/Calculus/FDeriv/Add.lean | DifferentiableAt.sum | [] | [
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365,
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Mathlib/Algebra/BigOperators/Intervals.lean | Finset.prod_range_succ_div_prod | [] | [
234,
48
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
233,
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Mathlib/Topology/Algebra/Module/LocallyConvex.lean | LocallyConvexSpace.ofBasisZero | [
{
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Mathlib/MeasureTheory/Measure/MeasureSpace.lean | MeasureTheory.Measure.restrict_comm | [
{
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Mathlib/Algebra/Hom/Group.lean | injective_iff_map_eq_one' | [] | [
1586,
79
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Mathlib/Analysis/Complex/RemovableSingularity.lean | Complex.differentiableOn_dslope | [] | [
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Mathlib/Data/Ordmap/Ordset.lean | Ordnode.foldr_cons_eq_toList | [
{
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Mathlib/Data/Set/Pointwise/Interval.lean | Set.preimage_const_sub_Icc | [
{
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"tactic": "simp [← Ici_inter_Iic, inter_comm]"
}
] | [
242,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/MeasureTheory/Lattice.lean | Measurable.inf | [] | [
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214,
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Mathlib/Algebra/MonoidAlgebra/Division.lean | AddMonoidAlgebra.add_divOf | [] | [
87,
16
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Mathlib/LinearAlgebra/Ray.lean | SameRay.zero_right | [] | [
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Mathlib/LinearAlgebra/AffineSpace/AffineSubspace.lean | AffineSubspace.nonempty_iff_ne_bot | [
{
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Mathlib/Data/Complex/ExponentialBounds.lean | Real.exp_one_near_10 | [
{
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"tactic": "apply exp_approx_start"
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{
"state_after": "case h\n\n⊢ Abs.abs\n (exp 1 -\... | [
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Mathlib/Order/Hom/Basic.lean | OrderIso.coe_dualDual_symm | [] | [
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960,
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Mathlib/ModelTheory/Bundled.lean | FirstOrder.Language.Theory.ModelType.coe_of | [] | [
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Mathlib/Computability/Partrec.lean | Computable₂.partrec₂ | [] | [
273,
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Mathlib/Analysis/NormedSpace/BoundedLinearMaps.lean | ContinuousLinearMap.map_sub₂ | [
{
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Mathlib/RingTheory/WittVector/IsPoly.lean | WittVector.bind₁_onePoly_wittPolynomial | [
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Mathlib/Data/Int/ModEq.lean | Int.modEq_one | [] | [
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27
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250,
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Mathlib/GroupTheory/FreeAbelianGroup.lean | FreeAbelianGroup.liftMonoid_coe_addMonoidHom | [] | [
536,
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Mathlib/Analysis/Normed/Group/Basic.lean | ContinuousOn.norm' | [] | [
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Mathlib/Algebra/MonoidAlgebra/Basic.lean | AddMonoidAlgebra.liftNC_single | [] | [
1238,
32
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Mathlib/Algebra/DirectLimit.lean | AddCommGroup.DirectLimit.lift_unique | [
{
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Mathlib/ModelTheory/Semantics.lean | FirstOrder.Language.BoundedFormula.realize_imp | [
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Mathlib/GroupTheory/Perm/Cycle/Basic.lean | Equiv.Perm.two_le_card_support_cycleOf_iff | [
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Mathlib/Data/Dfinsupp/Basic.lean | RingHom.map_dfinsupp_prod | [] | [
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Std/Data/Nat/Lemmas.lean | Nat.sub_sub_self | [] | [
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Std/Data/List/Lemmas.lean | List.cons_sublist_cons | [] | [
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Mathlib/Analysis/NormedSpace/Multilinear.lean | ContinuousLinearMap.curry_uncurryLeft | [
{
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Mathlib/Analysis/Asymptotics/Asymptotics.lean | Asymptotics.IsBigOWith.eq_zero_imp | [
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Mathlib/Data/Fin/Basic.lean | Fin.coe_castLT | [] | [
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Mathlib/FieldTheory/Fixed.lean | FixedPoints.minpoly.ne_one | [
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Mathlib/Data/Matrix/DMatrix.lean | DMatrix.ext_iff | [
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Mathlib/Topology/Sheaves/Stalks.lean | TopCat.Presheaf.germ_ext | [
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Mathlib/Analysis/InnerProductSpace/GramSchmidtOrtho.lean | gramSchmidt_zero | [
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Mathlib/MeasureTheory/Measure/AEMeasurable.lean | MeasureTheory.Measure.restrict_map_of_aemeasurable | [
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Mathlib/Algebra/Module/LocalizedModule.lean | IsLocalizedModule.mk'_eq_zero | [
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Mathlib/Analysis/SpecialFunctions/Trigonometric/ArctanDeriv.lean | HasStrictFDerivAt.arctan | [] | [
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Mathlib/LinearAlgebra/ProjectiveSpace/Basic.lean | Projectivization.submodule_mk'' | [] | [
183,
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Mathlib/RingTheory/PowerSeries/Basic.lean | PowerSeries.X_inv | [] | [
2198,
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Mathlib/Combinatorics/SimpleGraph/Connectivity.lean | SimpleGraph.ConnectedComponent.lift_mk | [] | [
2030,
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Mathlib/LinearAlgebra/Projection.lean | Submodule.quotientEquivOfIsCompl_symm_apply | [] | [
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Mathlib/AlgebraicGeometry/PrimeSpectrum/Basic.lean | PrimeSpectrum.isOpen_basicOpen | [] | [
776,
23
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775,
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Mathlib/Data/Fin/Basic.lean | Fin.val_mul | [] | [
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Mathlib/Analysis/InnerProductSpace/Basic.lean | LinearIsometry.inner_map_map | [
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Std/Classes/LawfulMonad.lean | SatisfiesM_ExceptT_eq | [
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Mathlib/Data/Sum/Order.lean | WithTop.orderIsoSumLexPUnit_symm_inl | [] | [
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Mathlib/Topology/UniformSpace/Basic.lean | subset_iterate_compRel | [
{
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Mathlib/Algebra/Hom/Equiv/Units/Basic.lean | Units.mulRight_symm | [] | [
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Mathlib/NumberTheory/Padics/Hensel.lean | newton_seq_succ_dist_weak | [
{
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300,
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Mathlib/GroupTheory/QuotientGroup.lean | QuotientGroup.lift_mk | [] | [
206,
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205,
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Mathlib/Algebra/Order/LatticeGroup.lean | LatticeOrderedCommGroup.neg_eq_one_iff' | [] | [
233,
15
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232,
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Mathlib/Data/Real/EReal.lean | EReal.neg_top | [] | [
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Mathlib/Data/Matrix/Basic.lean | Matrix.vecMul_vecMul | [
{
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Mathlib/Data/Polynomial/Splits.lean | Polynomial.eq_prod_roots_of_monic_of_splits_id | [
{
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366,
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Mathlib/Analysis/SpecialFunctions/Pow/Continuity.lean | Continuous.const_cpow | [] | [
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93
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161,
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Mathlib/CategoryTheory/Sites/Sieves.lean | CategoryTheory.Sieve.image_mem_functorPushforward | [
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728,
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Mathlib/Algebra/Order/Group/Defs.lean | inv_lt_inv' | [] | [
1254,
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Mathlib/LinearAlgebra/LinearPMap.lean | LinearPMap.add_apply | [] | [
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Mathlib/Data/Set/Function.lean | Set.piecewise_op₂ | [] | [
1492,
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Mathlib/CategoryTheory/Limits/IsLimit.lean | CategoryTheory.Limits.IsColimit.comp_coconePointsIsoOfNatIso_inv | [
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Mathlib/Topology/Algebra/InfiniteSum/Order.lean | tsum_nonpos | [
{
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Mathlib/CategoryTheory/EqToHom.lean | CategoryTheory.eqToHom_op | [
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151,
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149,
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Mathlib/CategoryTheory/Conj.lean | CategoryTheory.Iso.self_symm_conj | [] | [
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26
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115,
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Mathlib/CategoryTheory/Limits/Shapes/Pullbacks.lean | CategoryTheory.Limits.PullbackCone.mono_snd_of_is_pullback_of_mono | [
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628,
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Mathlib/MeasureTheory/Function/SimpleFuncDenseLp.lean | MeasureTheory.SimpleFunc.memℒp_approxOn_range | [
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190,
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Mathlib/NumberTheory/VonMangoldt.lean | Nat.ArithmeticFunction.moebius_mul_log_eq_vonMangoldt | [
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22
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141,
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Mathlib/CategoryTheory/Sites/EffectiveEpimorphic.lean | CategoryTheory.Sieve.effectiveEpimorphic_singleton | [
{
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215,
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Mathlib/Control/Basic.lean | joinM_map_joinM | [] | [
166,
88
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165,
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Mathlib/Topology/Constructions.lean | mem_nhds_of_pi_mem_nhds | [
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Mathlib/Algebra/Order/Field/Basic.lean | zpow_pos_of_pos | [
{
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126,
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Mathlib/Topology/Spectral/Hom.lean | SpectralMap.coe_copy | [] | [
145,
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Mathlib/MeasureTheory/Function/LpSeminorm.lean | MeasureTheory.snorm_congr_ae | [] | [
524,
56
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523,
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Mathlib/CategoryTheory/Sites/CoverPreserving.lean | CategoryTheory.pullback_isSheaf_of_coverPreserving | [
{
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179,
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Mathlib/ModelTheory/Substructures.lean | FirstOrder.Language.ClosedUnder.inf | [] | [
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14
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82,
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Mathlib/MeasureTheory/Function/LpSpace.lean | ContinuousLinearMap.comp_memℒp | [] | [
959,
52
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958,
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Mathlib/Analysis/NormedSpace/AffineIsometry.lean | LinearIsometryEquiv.toAffineIsometryEquiv_toAffineEquiv | [] | [
424,
6
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422,
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Mathlib/GroupTheory/PGroup.lean | IsPGroup.comap_of_ker_isPGroup | [
{
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297,
63
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290,
1
] |
Mathlib/Order/Filter/Basic.lean | Filter.tendsto_comap_iff | [
{
"state_after": "no goals",
"state_before": "α : Type u\nβ : Type v\nγ : Type w\nδ : Type ?u.311472\nι : Sort x\nf : α → β\ng : β → γ\na : Filter α\nc : Filter γ\nh : Tendsto (g ∘ f) a c\n⊢ map g (map f a) ≤ c",
"tactic": "rwa [map_map]"
}
] | [
2955,
87
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2953,
1
] |
Mathlib/LinearAlgebra/AffineSpace/AffineSubspace.lean | affineSpan_coe_preimage_eq_top | [
{
"state_after": "k : Type u_2\nV : Type u_3\nP : Type u_1\ninst✝⁴ : Ring k\ninst✝³ : AddCommGroup V\ninst✝² : Module k V\ninst✝¹ : AffineSpace V P\nι : Type ?u.347568\nA : Set P\ninst✝ : Nonempty ↑A\n⊢ ⊤ ≤ affineSpan k (Subtype.val ⁻¹' A)",
"state_before": "k : Type u_2\nV : Type u_3\nP : Type u_1\ninst✝⁴ ... | [
1220,
48
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1212,
1
] |
Mathlib/CategoryTheory/Category/TwoP.lean | pointedToTwoPFst_comp_forget_to_bipointed | [] | [
148,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
146,
1
] |
Std/Logic.lean | or_assoc | [] | [
266,
78
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
265,
1
] |
Mathlib/Data/Nat/Lattice.lean | Set.biUnion_lt_succ | [] | [
206,
23
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
205,
1
] |
Mathlib/Data/Dfinsupp/Basic.lean | Dfinsupp.add_apply | [] | [
242,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
240,
1
] |
Mathlib/SetTheory/Ordinal/Basic.lean | Ordinal.eq_zero_of_out_empty | [] | [
276,
28
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
275,
1
] |
Mathlib/Data/Seq/Computation.lean | Computation.Equiv.refl | [] | [
988,
67
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
988,
1
] |
Mathlib/RingTheory/PowerSeries/Basic.lean | MvPowerSeries.map_comp | [] | [
597,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
596,
1
] |
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