file_path stringlengths 11 79 | full_name stringlengths 2 100 | traced_tactics list | end list | commit stringclasses 4
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Mathlib/Analysis/SpecialFunctions/Trigonometric/Basic.lean | Real.tan_nat_mul_pi | [] | [
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39
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1026,
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Mathlib/RingTheory/PowerSeries/Basic.lean | Polynomial.coe_mul | [
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}
] | [
2574,
86
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Analysis/InnerProductSpace/Adjoint.lean | Submodule.adjoint_subtypeL | [
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Mathlib/GroupTheory/Index.lean | Subgroup.dvd_index_map | [
{
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Mathlib/Topology/UniformSpace/Basic.lean | UniformSpace.isOpen_ball | [] | [
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Mathlib/Order/Lattice.lean | Prod.inf_def | [] | [
1302,
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1301,
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Mathlib/LinearAlgebra/TensorAlgebra/Basic.lean | TensorAlgebra.ι_range_disjoint_one | [
{
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"state_before": "R : Type u_1\ninst✝² : CommSemiring R\nM : Type u_2\ninst✝¹ : AddCommMonoid M\ninst✝ : Module R M\n⊢ ... | [
290,
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284,
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Mathlib/MeasureTheory/Integral/IntegralEqImproper.lean | MeasureTheory.AECover.inter_restrict | [] | [
295,
34
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Mathlib/Data/Real/Sqrt.lean | Real.sqrt_lt | [
{
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] | [
295,
41
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
294,
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Mathlib/Data/Finset/Pointwise.lean | Finset.inter_mul_subset | [] | [
452,
27
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
451,
1
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Mathlib/Data/Matrix/Basic.lean | Matrix.algebraMap_eq_diagonalRingHom | [] | [
1330,
37
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1328,
1
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Mathlib/GroupTheory/QuotientGroup.lean | QuotientGroup.map_id_apply | [] | [
253,
32
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
251,
1
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Mathlib/Order/Closure.lean | LowerAdjoint.mem_closed_iff_closure_le | [] | [
403,
48
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
402,
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Mathlib/Analysis/Calculus/BumpFunctionInner.lean | ContDiffBump.continuous_normed | [] | [
501,
27
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
500,
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Mathlib/Data/List/Func.lean | List.Func.get_set_eq_of_ne | [
{
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194,
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Mathlib/Algebra/Star/Subalgebra.lean | StarSubalgebra.gc | [
{
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466,
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Mathlib/Topology/Order.lean | nhds_top | [] | [
676,
20
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
675,
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Mathlib/Topology/Instances/Irrational.lean | Irrational.eventually_forall_le_dist_cast_div_of_denom_le | [] | [
95,
88
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
93,
1
] |
Mathlib/NumberTheory/Zsqrtd/Basic.lean | Zsqrtd.ofInt_eq_coe | [
{
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}
] | [
312,
88
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
312,
1
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Mathlib/SetTheory/Ordinal/FixedPoint.lean | Ordinal.le_nfpFamily | [] | [
71,
14
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
70,
1
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Mathlib/Data/Real/Sqrt.lean | Real.sqrt_eq_iff_sq_eq | [
{
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] | [
243,
41
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
242,
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Mathlib/Topology/Constructions.lean | continuous_fst | [] | [
327,
41
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326,
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Mathlib/LinearAlgebra/Matrix/Symmetric.lean | Matrix.isSymm_one | [] | [
83,
16
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Analysis/Calculus/FDeriv/Basic.lean | fderivWithin_of_mem_nhds | [
{
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644,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
643,
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Mathlib/Init/Data/Bool/Lemmas.lean | Bool.decide_iff | [
{
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}
] | [
124,
81
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
124,
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Mathlib/Data/Polynomial/UnitTrinomial.lean | Polynomial.trinomial_natTrailingDegree | [
{
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95,
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Mathlib/RingTheory/AlgebraicIndependent.lean | AlgebraicIndependent.mono | [
{
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275,
76
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Algebra/Algebra/Unitization.lean | Unitization.inl_fst_add_inr_snd_eq | [] | [
309,
36
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/CategoryTheory/Functor/Basic.lean | CategoryTheory.Functor.comp_map | [] | [
127,
41
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
126,
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Mathlib/Computability/Reduce.lean | ManyOneEquiv.trans | [] | [
176,
53
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
174,
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Mathlib/Geometry/Manifold/LocalInvariantProperties.lean | StructureGroupoid.LocalInvariantProp.liftPropOn_of_liftProp | [
{
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Mathlib/Analysis/NormedSpace/lpSpace.lean | Memℓp.neg | [
{
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172,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
165,
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Mathlib/Analysis/Calculus/ContDiffDef.lean | ContDiff.continuous_fderiv | [] | [
1691,
57
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1689,
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Mathlib/MeasureTheory/MeasurableSpace.lean | MeasurableEmbedding.measurableSet_image | [
{
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1084,
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Mathlib/Data/List/Basic.lean | List.not_exists_mem_nil | [] | [
282,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
281,
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Mathlib/Topology/UniformSpace/UniformConvergenceTopology.lean | UniformOnFun.inf_eq | [
{
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... | [
742,
18
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
738,
11
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Mathlib/Data/Int/Units.lean | Int.isUnit_add_isUnit_eq_isUnit_add_isUnit | [
{
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114,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
109,
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Mathlib/MeasureTheory/Integral/SetToL1.lean | MeasureTheory.continuous_setToFun_of_dominated | [] | [
1825,
51
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1818,
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Mathlib/Data/Set/Intervals/Disjoint.lean | Set.iUnion_Ioo_left | [
{
"state_after": "no goals",
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"tactic": "simp only [← Ioi_inter_Iio, ← iUnion_inter, iUnion_Ioi, univ_inter]"
}
] | [
123,
70
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
122,
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Mathlib/RingTheory/Ideal/Operations.lean | Ideal.map_radical_le | [] | [
1821,
86
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1820,
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Mathlib/Analysis/Asymptotics/Asymptotics.lean | Asymptotics.isBigO_const_mul_left_iff' | [] | [
1484,
71
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1482,
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Mathlib/Analysis/SpecialFunctions/Trigonometric/Angle.lean | Real.Angle.sign_antiperiodic | [
{
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}
] | [
871,
45
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/MeasureTheory/Function/LpSpace.lean | MeasureTheory.Lp.toLp_coeFn | [
{
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src/lean/Init/Data/Nat/Basic.lean | Nat.not_eq_zero_of_lt | [
{
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{
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src/lean/Init/Data/Nat/Basic.lean | Nat.sub_succ | [] | [
245,
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Mathlib/Data/Polynomial/FieldDivision.lean | Polynomial.map_div | [
{
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"tactic": "if hq0 : q = 0 then simp [hq0]\nelse\n rw [div_def, div_def, Polynomial.map_mul, map... | [
305,
61
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Topology/Connected.lean | IsClopen.biUnion_connectedComponent_eq | [] | [
1005,
48
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Analysis/Asymptotics/SuperpolynomialDecay.lean | Asymptotics.superpolynomialDecay_iff_isLittleO | [
{
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365,
90
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355,
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Mathlib/Data/Bitvec/Lemmas.lean | Bitvec.decide_addLsb_mod_two | [
{
"state_after": "no goals",
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"tactic": "cases b <;>\n simp only [Bool.decide_iff, Nat.add_mul_mod_self_left, addLsb, ← two_mul, add_comm,\n Bool.decide_False, Nat.mul_mod_right, zero_add, cond, zero_ne_one]"
}
] | [
125,
75
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
122,
1
] |
Mathlib/Algebra/Group/TypeTags.lean | toMul_ofMul | [] | [
113,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
112,
1
] |
Std/Logic.lean | or_iff_right | [] | [
303,
77
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
303,
1
] |
Mathlib/Analysis/Calculus/ContDiff.lean | norm_iteratedFDeriv_clm_apply | [
{
"state_after": "𝕜 : Type u_1\ninst✝¹⁰ : NontriviallyNormedField 𝕜\nD : Type uD\ninst✝⁹ : NormedAddCommGroup D\ninst✝⁸ : NormedSpace 𝕜 D\nE : Type uE\ninst✝⁷ : NormedAddCommGroup E\ninst✝⁶ : NormedSpace 𝕜 E\nF : Type uF\ninst✝⁵ : NormedAddCommGroup F\ninst✝⁴ : NormedSpace 𝕜 F\nG : Type uG\ninst✝³ : Normed... | [
2734,
24
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2728,
1
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Mathlib/CategoryTheory/Monoidal/Category.lean | CategoryTheory.MonoidalCategory.prodMonoidal_rightUnitor_hom_fst | [
{
"state_after": "case mk\nC : Type u\n𝒞 : Category C\ninst✝⁴ : MonoidalCategory C\nC₁ : Type u₁\ninst✝³ : Category C₁\ninst✝² : MonoidalCategory C₁\nC₂ : Type u₂\ninst✝¹ : Category C₂\ninst✝ : MonoidalCategory C₂\nfst✝ : C₁\nsnd✝ : C₂\n⊢ (ρ_ (fst✝, snd✝)).hom.fst = (ρ_ (fst✝, snd✝).fst).hom",
"state_befor... | [
656,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
653,
1
] |
Mathlib/Data/Set/Intervals/Basic.lean | Set.Iio_subset_Iic_union_Ioo | [] | [
1425,
74
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1424,
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Mathlib/Order/ConditionallyCompleteLattice/Basic.lean | csSup_Ioo | [] | [
776,
44
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
775,
1
] |
Mathlib/Data/Int/Bitwise.lean | Int.shiftl_negSucc | [] | [
392,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
391,
1
] |
Mathlib/CategoryTheory/Limits/HasLimits.lean | CategoryTheory.Limits.colimit.w | [] | [
730,
25
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
728,
1
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Mathlib/Analysis/Calculus/Deriv/Add.lean | HasDerivAtFilter.const_sub | [
{
"state_after": "no goals",
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352,
55
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
350,
1
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Mathlib/RingTheory/FreeCommRing.lean | FreeRing.coe_of | [] | [
340,
23
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
339,
11
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Mathlib/GroupTheory/QuotientGroup.lean | QuotientGroup.lift_mk' | [] | [
212,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
211,
1
] |
Mathlib/Data/Finset/Image.lean | Finset.Nonempty.image_iff | [] | [
399,
24
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
395,
1
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Mathlib/Computability/Partrec.lean | Nat.rfind_zero_none | [] | [
124,
50
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
121,
1
] |
Mathlib/Data/Real/Pi/Bounds.lean | Real.sqrtTwoAddSeries_step_down | [
{
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"state_before": "a b c d n : ℕ\nz : ℝ\nhz : z ≤ sqrtTwoAddSeries (↑a / ↑b) n\nhb : 0 < b\nhd : 0 <... | [
145,
19
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
137,
1
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Mathlib/Geometry/Euclidean/Angle/Unoriented/Affine.lean | EuclideanGeometry.angle_vadd_const | [] | [
82,
71
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
81,
1
] |
Mathlib/Data/Option/NAry.lean | Option.map_map₂_right_comm | [
{
"state_after": "no goals",
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178,
49
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
176,
1
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Mathlib/Topology/Algebra/Module/WeakDual.lean | WeakBilin.continuous_of_continuous_eval | [] | [
130,
53
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
128,
1
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Mathlib/Data/Int/GCD.lean | Int.lcm_zero_right | [
{
"state_after": "i : ℤ\n⊢ Nat.lcm (natAbs i) (natAbs 0) = 0",
"state_before": "i : ℤ\n⊢ lcm i 0 = 0",
"tactic": "rw [Int.lcm]"
},
{
"state_after": "no goals",
"state_before": "i : ℤ\n⊢ Nat.lcm (natAbs i) (natAbs 0) = 0",
"tactic": "apply Nat.lcm_zero_right"
}
] | [
462,
27
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
460,
1
] |
Mathlib/Data/Ordmap/Ordset.lean | Ordnode.insertWith.valid_aux | [
{
"state_after": "α : Type u_1\ninst✝² : Preorder α\ninst✝¹ : IsTotal α fun x x_1 => x ≤ x_1\ninst✝ : DecidableRel fun x x_1 => x ≤ x_1\nf : α → α\nx : α\nhf : ∀ (y : α), x ≤ y ∧ y ≤ x → x ≤ f y ∧ f y ≤ x\nsz : ℕ\nl : Ordnode α\ny : α\nr : Ordnode α\no₁ : WithBot α\no₂ : WithTop α\nh : Valid' o₁ (node sz l y r)... | [
1532,
35
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1505,
1
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Mathlib/Order/FixedPoints.lean | OrderHom.gfp_le | [] | [
119,
12
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
118,
1
] |
Mathlib/Analysis/Calculus/FDeriv/Mul.lean | fderivWithin_smul_const | [] | [
265,
55
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
262,
1
] |
Mathlib/Algebra/GCDMonoid/Finset.lean | Finset.gcd_eq_gcd_filter_ne_zero | [
{
"state_after": "α : Type u_2\nβ : Type u_1\nγ : Type ?u.22138\ninst✝² : CancelCommMonoidWithZero α\ninst✝¹ : NormalizedGCDMonoid α\ns s₁ s₂ : Finset β\nf : β → α\ninst✝ : DecidablePred fun x => f x = 0\n⊢ gcd s f = gcd (filter (fun x => f x = 0) s ∪ filter (fun x => f x ≠ 0) s) f\n\nα : Type u_2\nβ : Type u_1... | [
243,
45
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
230,
1
] |
Mathlib/SetTheory/Cardinal/Cofinality.lean | Cardinal.isRegular_aleph_one | [
{
"state_after": "α : Type ?u.147584\nr : α → α → Prop\n⊢ IsRegular (succ ℵ₀)",
"state_before": "α : Type ?u.147584\nr : α → α → Prop\n⊢ IsRegular (aleph 1)",
"tactic": "rw [← succ_aleph0]"
},
{
"state_after": "no goals",
"state_before": "α : Type ?u.147584\nr : α → α → Prop\n⊢ IsRegular (su... | [
1003,
30
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1001,
1
] |
Mathlib/Order/Basic.lean | update_le_update_iff | [
{
"state_after": "no goals",
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"tac... | [
872,
58
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
870,
1
] |
Mathlib/Data/Nat/Digits.lean | Nat.ofDigits_modEq | [] | [
516,
53
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
515,
1
] |
Mathlib/Order/Hom/Order.lean | OrderHom.iSup_apply | [] | [
116,
36
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
114,
1
] |
Std/Data/PairingHeap.lean | Std.PairingHeapImp.Heap.deleteMin_fst | [] | [
272,
23
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
269,
1
] |
Mathlib/Analysis/Asymptotics/Asymptotics.lean | Asymptotics.isLittleO_iff_nat_mul_le' | [] | [
270,
64
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
269,
1
] |
src/lean/Init/Data/Nat/Basic.lean | Nat.pow_le_pow_of_le_left | [] | [
480,
59
] | d5348dfac847a56a4595fb6230fd0708dcb4e7e9 | https://github.com/leanprover/lean4 | [
478,
1
] |
Mathlib/Algebra/Order/ToIntervalMod.lean | toIocMod_neg' | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\ninst✝ : LinearOrderedAddCommGroup α\nhα : Archimedean α\np : α\nhp : 0 < p\na✝ b✝ c : α\nn : ℤ\na b : α\n⊢ toIocMod hp (-a) b = p - toIcoMod hp a (-b)",
"tactic": "simpa only [neg_neg] using toIocMod_neg hp (-a) (-b)"
}
] | [
563,
55
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
562,
1
] |
Mathlib/Order/InitialSeg.lean | InitialSeg.Antisymm.aux | [] | [
152,
48
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
151,
1
] |
Mathlib/Topology/Maps.lean | openEmbedding_of_embedding_open | [] | [
588,
24
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
586,
1
] |
Mathlib/Order/Height.lean | Set.cons_mem_subchain_iff | [
{
"state_after": "no goals",
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76,
15
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
73,
1
] |
Mathlib/Analysis/InnerProductSpace/Symmetric.lean | LinearMap.IsSymmetric.conj_inner_sym | [
{
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79,
64
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
78,
1
] |
Mathlib/Computability/Primrec.lean | Primrec.vector_length | [] | [
1297,
10
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1296,
1
] |
Mathlib/Combinatorics/SimpleGraph/Connectivity.lean | SimpleGraph.Reachable.elim_path | [
{
"state_after": "no goals",
"state_before": "V : Type u\nV' : Type v\nV'' : Type w\nG : SimpleGraph V\nG' : SimpleGraph V'\nG'' : SimpleGraph V''\np : Prop\nu v : V\nh : Reachable G u v\nhp : Path G u v → p\n⊢ p",
"tactic": "classical exact h.elim fun q => hp q.toPath"
},
{
"state_after": "no g... | [
1857,
80
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1856,
11
] |
Mathlib/LinearAlgebra/Finsupp.lean | Finsupp.total_embDomain | [
{
"state_after": "no goals",
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638,
70
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
636,
1
] |
Mathlib/Data/Polynomial/Degree/Definitions.lean | Polynomial.X_sub_C_ne_zero | [] | [
1491,
57
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1490,
1
] |
Mathlib/LinearAlgebra/LinearIndependent.lean | linearIndependent_iff_totalOn | [
{
"state_after": "no goals",
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404,
80
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
399,
1
] |
Mathlib/Topology/PathConnected.lean | Path.trans_prod_eq_prod_trans | [
{
"state_after": "no goals",
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569,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
563,
1
] |
Mathlib/Combinatorics/SimpleGraph/Connectivity.lean | SimpleGraph.Walk.edges_reverse | [
{
"state_after": "no goals",
"state_before": "V : Type u\nV' : Type v\nV'' : Type w\nG : SimpleGraph V\nG' : SimpleGraph V'\nG'' : SimpleGraph V''\nu v : V\np : Walk G u v\n⊢ edges (reverse p) = List.reverse (edges p)",
"tactic": "simp [edges, List.map_reverse]"
}
] | [
767,
33
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
766,
1
] |
Mathlib/GroupTheory/FreeGroup.lean | FreeGroup.Red.sizeof_of_step | [
{
"state_after": "case nil\nα : Type u\nL L₁ L₂ L₃ L₄ L2 : List (α × Bool)\nx : α\nb : Bool\n⊢ sizeOf ([] ++ L2) < sizeOf ([] ++ (x, b) :: (x, !b) :: L2)\n\ncase cons\nα : Type u\nL L₁ L₂ L₃ L₄ L2 : List (α × Bool)\nx : α\nb : Bool\nhd : α × Bool\ntl : List (α × Bool)\nih : sizeOf (tl ++ L2) < sizeOf (tl ++ (x,... | [
426,
37
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
407,
1
] |
Mathlib/GroupTheory/Congruence.lean | Con.map_apply | [] | [
1071,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1069,
1
] |
Mathlib/Combinatorics/SimpleGraph/Connectivity.lean | SimpleGraph.Walk.transfer_append | [
{
"state_after": "no goals",
"state_before": "V : Type u\nV' : Type v\nV'' : Type w\nG : SimpleGraph V\nG' : SimpleGraph V'\nG'' : SimpleGraph V''\nu v : V\np : Walk G u v\nw : V\nH : SimpleGraph V\nq : Walk G v w\nhpq : ∀ (e : Sym2 V), e ∈ edges (append p q) → e ∈ edgeSet H\ne : Sym2 V\nhe : e ∈ edges p\n⊢... | [
1754,
95
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1748,
1
] |
Mathlib/Combinatorics/Composition.lean | List.nthLe_splitWrtCompositionAux | [
{
"state_after": "case nil\nn : ℕ\nα : Type u_1\nl✝ : List α\nns : List ℕ\ni✝ : ℕ\nhi✝ : i✝ < length (splitWrtCompositionAux l✝ ns)\nl : List α\ni : ℕ\nhi : i < length (splitWrtCompositionAux l [])\n⊢ nthLe (splitWrtCompositionAux l []) i hi = drop (sum (take i [])) (take (sum (take (i + 1) [])) l)\n\ncase cons... | [
739,
18
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
727,
1
] |
Mathlib/Data/Sum/Basic.lean | Sum.not_isLeft | [
{
"state_after": "no goals",
"state_before": "α : Type u\nα' : Type w\nβ : Type v\nβ' : Type x\nγ : Type ?u.6451\nδ : Type ?u.6454\nx✝ y x : α ⊕ β\n⊢ (!isLeft x) = isRight x",
"tactic": "cases x <;> rfl"
}
] | [
126,
82
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
126,
1
] |
Mathlib/Algebra/Parity.lean | pow_bit0_abs | [] | [
515,
26
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
514,
1
] |
Mathlib/Data/Polynomial/FieldDivision.lean | Polynomial.exists_root_of_degree_eq_one | [
{
"state_after": "R : Type u\nS : Type v\nk : Type y\nA : Type z\na b : R\nn : ℕ\ninst✝ : Field R\np q : R[X]\nh : degree p = 1\nthis : coeff p 1 ≠ 0\n⊢ IsRoot p (-(coeff p 0 / coeff p 1))",
"state_before": "R : Type u\nS : Type v\nk : Type y\nA : Type z\na b : R\nn : ℕ\ninst✝ : Field R\np q : R[X]\nh : deg... | [
401,
43
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
394,
1
] |
Mathlib/LinearAlgebra/Dfinsupp.lean | Dfinsupp.mapRange_smul | [
{
"state_after": "case h\nι : Type u_4\nR : Type u_3\nS : Type ?u.109793\nM : ι → Type ?u.109798\nN : Type ?u.109801\ndec_ι : DecidableEq ι\ninst✝¹⁰ : Semiring R\ninst✝⁹ : (i : ι) → AddCommMonoid (M i)\ninst✝⁸ : (i : ι) → Module R (M i)\ninst✝⁷ : AddCommMonoid N\ninst✝⁶ : Module R N\nβ : ι → Type ?u.109888\nβ₁ ... | [
196,
61
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
192,
1
] |
Mathlib/Data/List/Basic.lean | Decidable.List.eq_or_ne_mem_of_mem | [
{
"state_after": "case pos\nι : Type ?u.979\nα : Type u\nβ : Type v\nγ : Type w\nδ : Type x\nl₁ l₂ : List α\ninst✝ : DecidableEq α\na b : α\nl : List α\nh : a ∈ b :: l\nhab : a = b\n⊢ a = b ∨ a ≠ b ∧ a ∈ l\n\ncase neg\nι : Type ?u.979\nα : Type u\nβ : Type v\nγ : Type w\nδ : Type x\nl₁ l₂ : List α\ninst✝ : Deci... | [
93,
71
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
89,
1
] |
Mathlib/AlgebraicTopology/DoldKan/PInfty.lean | AlgebraicTopology.DoldKan.karoubi_PInfty_f | [
{
"state_after": "C : Type u_1\ninst✝¹ : Category C\ninst✝ : Preadditive C\nX : SimplicialObject C\nY : Karoubi (SimplicialObject C)\nn : ℕ\nY₁ : SimplexCategoryᵒᵖ ⥤ Karoubi C := (karoubiFunctorCategoryEmbedding SimplexCategoryᵒᵖ C).obj Y\n⊢ (HomologicalComplex.Hom.f PInfty n).f = Y.p.app [n].op ≫ HomologicalCo... | [
240,
39
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
207,
1
] |
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