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/Data/Multiset/Basic.lean | Multiset.map_comp_cons | [
{
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... | [
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Mathlib/MeasureTheory/Function/UniformIntegrable.lean | MeasureTheory.uniformIntegrable_finite | [
{
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61
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Mathlib/Dynamics/OmegaLimit.lean | omegaLimit_image_eq | [
{
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"tactic": "sim... | [
116,
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115,
1
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Mathlib/Geometry/Manifold/ChartedSpace.lean | prodChartedSpace_chartAt | [] | [
726,
6
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Mathlib/Topology/MetricSpace/Basic.lean | Metric.dist_le_diam_of_mem' | [
{
"state_after": "α : Type u\nβ : Type v\nX : Type ?u.532598\nι : Type ?u.532601\ninst✝ : PseudoMetricSpace α\ns : Set α\nx y z : α\nh : EMetric.diam s ≠ ⊤\nhx : x ∈ s\nhy : y ∈ s\n⊢ ENNReal.toReal (edist x y) ≤ ENNReal.toReal (EMetric.diam s)",
"state_before": "α : Type u\nβ : Type v\nX : Type ?u.532598\nι... | [
2642,
43
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2638,
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Mathlib/Analysis/SpecialFunctions/Exp.lean | Real.isTheta_exp_comp_one | [
{
"state_after": "no goals",
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"tactic": "simp only [← exp_zero, isTheta_exp_comp_exp_comp, sub_zero]"
}
] | [
418,
62
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
416,
1
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Mathlib/Analysis/NormedSpace/Basic.lean | rescale_to_shell_semi_normed_zpow | [
{
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288,
58
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
265,
1
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Mathlib/Data/Seq/Computation.lean | Computation.liftRel_def | [
{
"state_after": "α : Type u\nβ : Type v\nγ : Type w\nR : α → β → Prop\nca : Computation α\ncb : Computation β\nh : LiftRel R ca cb\na : α\nb : β\nma : a ∈ ca\nmb : b ∈ cb\nb' : β\nmb' : b' ∈ cb\nab : R a b'\n⊢ R a b",
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25
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1145,
1
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Std/Data/List/Lemmas.lean | List.drop_sublist | [] | [
1725,
28
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1724,
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Mathlib/Algebra/Algebra/Subalgebra/Basic.lean | Subalgebra.mul_mem | [] | [
133,
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Mathlib/CategoryTheory/Subobject/Lattice.lean | CategoryTheory.Subobject.underlyingIso_inv_top_arrow | [] | [
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247,
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Mathlib/Analysis/Calculus/Taylor.lean | hasDerivWithinAt_taylor_coeff_within | [
{
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176,
41
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
151,
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Mathlib/Algebra/GeomSum.lean | RingHom.map_geom_sum | [
{
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"tactic": "simp [f.map_sum]"
}
] | [
397,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
396,
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Mathlib/Algebra/Module/Submodule/Lattice.lean | Submodule.inf_coe | [] | [
234,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
233,
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Mathlib/CategoryTheory/Limits/HasLimits.lean | CategoryTheory.Limits.limit.lift_map | [
{
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"state_bef... | [
278,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
274,
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Mathlib/RingTheory/PrincipalIdealDomain.lean | exists_associated_pow_of_mul_eq_pow' | [] | [
462,
71
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
460,
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Mathlib/Tactic/PushNeg.lean | Mathlib.Tactic.PushNeg.not_forall_eq | [] | [
23,
74
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/LinearAlgebra/SesquilinearForm.lean | LinearMap.IsRefl.eq_zero | [] | [
178,
70
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/FieldTheory/IntermediateField.lean | IntermediateField.fieldRange_val | [] | [
513,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Analysis/NormedSpace/Exponential.lean | algebraMap_exp_comm_of_mem_ball | [] | [
326,
57
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
323,
1
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Mathlib/FieldTheory/Subfield.lean | RingHom.map_fieldRange | [
{
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"tactic": "simpa only [fieldRange_eq_map] using (⊤ : Subfield K).map_map g f"
}
] | [
569,
68
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
568,
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Mathlib/Order/Filter/Extr.lean | isMaxOn_iff | [] | [
139,
10
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
138,
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Std/Data/String/Lemmas.lean | Substring.Valid.take | [] | [
1026,
64
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
1025,
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Mathlib/Topology/Instances/Int.lean | Int.ball_eq_Ioo | [
{
"state_after": "no goals",
"state_before": "x : ℤ\nr : ℝ\n⊢ ball x r = Ioo ⌊↑x - r⌋ ⌈↑x + r⌉",
"tactic": "rw [← preimage_ball, Real.ball_eq_Ioo, preimage_Ioo]"
}
] | [
63,
55
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Data/Real/Cardinality.lean | Cardinal.cantorFunctionAux_false | [
{
"state_after": "no goals",
"state_before": "c : ℝ\nf g : ℕ → Bool\nn : ℕ\nh : f n = false\n⊢ cantorFunctionAux c f n = 0",
"tactic": "simp [cantorFunctionAux, h]"
}
] | [
73,
30
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Analysis/SpecialFunctions/Bernstein.lean | bernsteinApproximation_uniform | [
{
"state_after": "f : C(↑I, ℝ)\n⊢ ∀ (i : ℝ), 0 < i → ∀ᶠ (x : ℕ) in atTop, ‖bernsteinApproximation x f - f‖ < i",
"state_before": "f : C(↑I, ℝ)\n⊢ Tendsto (fun n => bernsteinApproximation n f) atTop (𝓝 f)",
"tactic": "simp only [Metric.nhds_basis_ball.tendsto_right_iff, Metric.mem_ball, dist_eq_norm]"
... | [
304,
52
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Data/Finset/NAry.lean | Finset.image₂_inter_union_subset_union | [
{
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Mathlib/Order/Hom/Lattice.lean | SupHom.coe_copy | [] | [
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Mathlib/ModelTheory/Basic.lean | FirstOrder.Language.Hom.comp_assoc | [] | [
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Mathlib/Analysis/ODE/Gronwall.lean | gronwallBound_K0 | [] | [
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29
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/MeasureTheory/Group/FundamentalDomain.lean | MeasureTheory.IsFundamentalDomain.restrict_restrict | [] | [
204,
74
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202,
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Mathlib/MeasureTheory/Group/Arithmetic.lean | AEMeasurable.const_smul | [] | [
667,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
666,
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Mathlib/Data/Finset/Basic.lean | Finset.disjoint_empty_right | [] | [
954,
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953,
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Mathlib/Order/Filter/Basic.lean | Filter.comap_eval_neBot | [] | [
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/CategoryTheory/Simple.lean | CategoryTheory.Simple.of_iso | [
{
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Mathlib/Analysis/InnerProductSpace/Projection.lean | reflection_mem_subspace_orthogonalComplement_eq_neg | [
{
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Mathlib/Analysis/SpecialFunctions/ExpDeriv.lean | Complex.differentiable_exp | [] | [
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/LinearAlgebra/TensorProduct.lean | TensorProduct.tmul_sub | [] | [
1252,
27
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Std/Data/PairingHeap.lean | Std.PairingHeapImp.Heap.noSibling_tail | [
{
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"tactic": "simp only [Heap.tail]"
},
{
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45
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
114,
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Mathlib/Data/Sym/Sym2.lean | Sym2.diag_injective | [
{
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}
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Mathlib/Combinatorics/SimpleGraph/Basic.lean | SimpleGraph.edge_other_incident_set | [
{
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48
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Mathlib/RingTheory/DiscreteValuationRing/TFAE.lean | DiscreteValuationRing.TFAE | [
{
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Mathlib/Topology/Algebra/Order/ProjIcc.lean | Filter.Tendsto.IccExtend' | [] | [
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Mathlib/Analysis/Calculus/FDeriv/Star.lean | DifferentiableWithinAt.star | [] | [
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50
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/RingTheory/Finiteness.lean | Submodule.fg_top | [
{
"state_after": "no goals",
"state_before": "R : Type u_1\nM : Type u_2\ninst✝⁴ : Semiring R\ninst✝³ : AddCommMonoid M\ninst✝² : Module R M\nP : Type ?u.199269\ninst✝¹ : AddCommMonoid P\ninst✝ : Module R P\nf : M →ₗ[R] P\nN : Submodule R M\nh : FG N\n⊢ FG (map (Submodule.subtype N) ⊤)",
"tactic": "rwa ... | [
234,
95
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/MeasureTheory/Integral/IntegrableOn.lean | MeasureTheory.integrableOn_union | [] | [
190,
73
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189,
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Mathlib/Data/Dfinsupp/Basic.lean | Dfinsupp.prod_zero_index | [] | [
1730,
6
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Mathlib/Data/Polynomial/Identities.lean | Polynomial.poly_binom_aux2 | [
{
"state_after": "R : Type u\nS : Type v\nT : Type w\nι : Type x\nk : Type y\nA : Type z\na b : R\nm n : ℕ\ninst✝ : CommRing R\nf : R[X]\nx y : R\n⊢ eval₂ (RingHom.id R) (x + y) f =\n sum f fun e a => a * (x ^ e + ↑e * x ^ (e - 1) * y + ↑(Polynomial.polyBinomAux1 x y e a) * y ^ 2)",
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41
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65,
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Mathlib/Algebra/Algebra/Subalgebra/Basic.lean | Algebra.top_toSubsemiring | [] | [
794,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Combinatorics/SimpleGraph/Trails.lean | SimpleGraph.Walk.IsEulerian.isTrail | [
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Mathlib/MeasureTheory/Measure/MeasureSpace.lean | MeasureTheory.one_le_prob_iff | [] | [
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Mathlib/ModelTheory/FinitelyGenerated.lean | FirstOrder.Language.Structure.FG.map_of_surjective | [
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Mathlib/MeasureTheory/Integral/IntervalIntegral.lean | intervalIntegral.abs_integral_le_integral_abs | [
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Mathlib/LinearAlgebra/Dimension.lean | Submodule.rank_add_le_rank_add_rank | [
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Mathlib/Analysis/SpecialFunctions/Exp.lean | Complex.comap_exp_nhds_zero | [
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Mathlib/Data/Num/Lemmas.lean | PosNum.add_succ | [
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Mathlib/Topology/Basic.lean | Finset.interior_iInter | [
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Mathlib/Data/Fintype/Card.lean | Fintype.card_eq_one_of_forall_eq | [] | [
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Mathlib/Topology/Inseparable.lean | SeparationQuotient.continuous_lift₂ | [
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Mathlib/Analysis/Complex/Schwarz.lean | Complex.schwarz_aux | [
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Mathlib/LinearAlgebra/Span.lean | LinearMap.eqOn_span | [
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Mathlib/Topology/MetricSpace/Basic.lean | IsCompact.bounded | [] | [
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Mathlib/Algebra/BigOperators/Finprod.lean | finprod_mem_insert' | [
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Mathlib/Data/Set/Intervals/Instances.lean | Set.Icc.nonneg | [] | [
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Mathlib/Order/LiminfLimsup.lean | Filter.limsInf_le_limsInf | [] | [
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Mathlib/Algebra/Module/Submodule/Basic.lean | Submodule.sub_mem_iff_right | [
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Mathlib/Topology/MetricSpace/Metrizable.lean | Embedding.metrizableSpace | [] | [
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Mathlib/Data/Set/Pointwise/Basic.lean | Set.preimage_mul_left_one | [
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Mathlib/RingTheory/IntegralClosure.lean | IsIntegralClosure.noZeroSMulDivisors | [
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Mathlib/Algebra/Category/ModuleCat/Images.lean | ModuleCat.imageIsoRange_inv_image_ι | [] | [
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Mathlib/Tactic/NormNum/Prime.lean | Mathlib.Meta.NormNum.isNat_not_prime | [] | [
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Mathlib/Algebra/Category/ModuleCat/Kernels.lean | ModuleCat.cokernel_π_ext | [
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Mathlib/LinearAlgebra/Ray.lean | SameRay.zero_left | [] | [
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Mathlib/Order/Compare.lean | Ordering.compares_iff_of_compares_impl | [
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Mathlib/Analysis/Calculus/Taylor.lean | taylorWithin_succ | [
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Mathlib/LinearAlgebra/AffineSpace/AffineEquiv.lean | AffineEquiv.surjective | [] | [
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Mathlib/Analysis/SpecialFunctions/Trigonometric/Angle.lean | Real.Angle.coe_zero | [] | [
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Mathlib/Order/Filter/Pointwise.lean | Filter.bot_smul | [] | [
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Mathlib/Data/Set/Basic.lean | Set.nonempty_iff_univ_nonempty | [] | [
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Mathlib/Order/GaloisConnection.lean | GaloisConnection.l_comm_iff_u_comm | [] | [
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Mathlib/Data/Set/Pointwise/SMul.lean | Set.Nonempty.smul | [] | [
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Mathlib/Data/Seq/WSeq.lean | Stream'.WSeq.dropn_ofSeq | [
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Mathlib/SetTheory/ZFC/Basic.lean | ZFSet.subset_iff | [] | [
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Mathlib/MeasureTheory/Function/L1Space.lean | MeasureTheory.integrable_smul_measure | [
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Mathlib/Algebra/Order/Monoid/Lemmas.lean | mul_lt_of_lt_of_le_one | [] | [
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Mathlib/RingTheory/Subring/Basic.lean | Subring.prod_mono_left | [] | [
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Mathlib/RingTheory/Multiplicity.lean | multiplicity.pow' | [
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Mathlib/Order/Antisymmetrization.lean | AntisymmRel.image | [] | [
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Mathlib/LinearAlgebra/Basic.lean | LinearMap.iterate_injective | [
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Mathlib/Analysis/SpecialFunctions/Trigonometric/Basic.lean | Complex.cos_sub_two_pi | [] | [
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Mathlib/CategoryTheory/Category/Preorder.lean | CategoryTheory.Equivalence.toOrderIso_apply | [] | [
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Mathlib/SetTheory/Ordinal/Exponential.lean | Ordinal.opow_lt_opow_left_of_succ | [
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Mathlib/Data/List/Cycle.lean | Cycle.nodup_coe_iff | [] | [
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Mathlib/Computability/Primrec.lean | Primrec.list_concat | [] | [
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Mathlib/Analysis/SpecialFunctions/Pow/Continuity.lean | ContinuousWithinAt.rpow | [] | [
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Mathlib/Data/Set/Intervals/OrdConnected.lean | Set.ordConnected_empty | [] | [
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Mathlib/RingTheory/UniqueFactorizationDomain.lean | UniqueFactorizationMonoid.factors_unique | [] | [
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Mathlib/RingTheory/Valuation/Basic.lean | AddValuation.comap_comp | [] | [
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Mathlib/Data/Real/Irrational.lean | Irrational.of_mul_nat | [] | [
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Mathlib/Algebra/Order/Floor.lean | Int.fract_sub_int | [
{
"state_after": "F : Type ?u.147946\nα : Type u_1\nβ : Type ?u.147952\ninst✝¹ : LinearOrderedRing α\ninst✝ : FloorRing α\nz : ℤ\na✝ a : α\nm : ℤ\n⊢ a - ↑m - ↑⌊a - ↑m⌋ = fract a",
"state_before": "F : Type ?u.147946\nα : Type u_1\nβ : Type ?u.147952\ninst✝¹ : LinearOrderedRing α\ninst✝ : FloorRing α\nz : ℤ\... | [
835,
7
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
833,
1
] |
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