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/Data/Finsupp/Order.lean | Finsupp.subset_support_tsub | [
{
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"tactic": "simp (config := { cont... | [
217,
55
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Mathlib/CategoryTheory/Generator.lean | CategoryTheory.IsSeparating.mono | [] | [
204,
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Mathlib/Analysis/Seminorm.lean | Seminorm.ball_norm_mul_subset | [
{
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Mathlib/MeasureTheory/Function/L1Space.lean | MeasureTheory.Memℒp.integrable_norm_rpow | [
{
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Mathlib/Algebra/Group/ULift.lean | ULift.div_down | [] | [
64,
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63,
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Mathlib/Data/Nat/Totient.lean | ZMod.card_units_eq_totient | [
{
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"tactic": "obtain... | [
127,
10
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
118,
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Mathlib/Data/Nat/ModEq.lean | Nat.ModEq.add_right_cancel' | [] | [
173,
31
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Analysis/SpecialFunctions/Trigonometric/Inverse.lean | Real.arcsin_eq_zero_iff | [
{
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87
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213,
1
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Mathlib/Analysis/Asymptotics/Asymptotics.lean | Asymptotics.IsLittleO.not_isBigO | [] | [
602,
42
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
600,
1
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Mathlib/Data/Polynomial/Derivative.lean | Polynomial.derivative_map | [
{
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50
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Mathlib/NumberTheory/ADEInequality.lean | ADEInequality.admissible_D' | [] | [
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Mathlib/Logic/Equiv/Basic.lean | Equiv.setValue_eq | [
{
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"tactic": "simp [setValue, swap_apply_left]"
}
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1692,
35
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Std/Data/PairingHeap.lean | Std.PairingHeapImp.Heap.size_combine | [
{
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137,
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Mathlib/LinearAlgebra/AffineSpace/AffineMap.lean | AffineMap.image_vsub_image | [
{
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493,
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Mathlib/Algebra/Star/StarAlgHom.lean | NonUnitalStarAlgHom.coe_inl | [] | [
580,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Algebra/Order/Field/Basic.lean | div_pos | [
{
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"state_before": "ι : Type ?u.9146\nα : Type u_1\nβ : Type ?u.9152\ninst✝ : LinearOrderedSemifield α\na b c d e : α\nm n : ℤ\nha : 0 < a\nhb : ... | [
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Mathlib/Algebra/Hom/Iterate.lean | mul_right_iterate | [] | [
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36
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Algebra/Homology/Exact.lean | CategoryTheory.exact_comp_mono_iff | [
{
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"state_before": "V : Type u\ninst✝⁴ : Category V\ni... | [
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Mathlib/LinearAlgebra/Matrix/Adjugate.lean | Matrix.adjugate_zero | [
{
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"state_before": "m : Type u\nn : Type v\nα : Type w\ninst✝⁵ : Dec... | [
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Mathlib/Data/Set/Function.lean | Set.SurjOn.union | [] | [
797,
44
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
796,
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Std/Data/Int/Lemmas.lean | Int.nonneg_of_neg_nonpos | [
{
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"state_before": "a : Int\nh : -a ≤ 0\n⊢ -a ≤ -0",
"tactic": "rwa [Int.neg_zero]"
}
] | [
866,
48
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
865,
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Mathlib/Data/Finset/NAry.lean | Finset.image_image₂_distrib_left | [
{
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Analysis/Calculus/BumpFunctionInner.lean | ContDiffBump.contDiffAt | [] | [
469,
24
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/CategoryTheory/Limits/Shapes/Equalizers.lean | CategoryTheory.Limits.Cocone.ofCofork_ι | [
{
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"tactic": "aesop"
}
] | [
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
628,
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Mathlib/CategoryTheory/Preadditive/Biproducts.lean | CategoryTheory.Biprod.column_nonzero_of_iso | [
{
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832,
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Mathlib/Algebra/GroupWithZero/Units/Lemmas.lean | map_eq_zero | [] | [
219,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
218,
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Mathlib/Algebra/Hom/Centroid.lean | CentroidHom.coe_comp_addMonoidHom | [] | [
213,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
212,
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Mathlib/Data/Fin/Basic.lean | Fin.succAbove_below | [] | [
2031,
43
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2030,
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Mathlib/MeasureTheory/Measure/MeasureSpace.lean | MeasureTheory.Measure.sum_bool | [
{
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2096,
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Mathlib/MeasureTheory/Function/LpSeminorm.lean | MeasureTheory.snorm'_measure_zero_of_neg | [
{
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236,
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Mathlib/FieldTheory/Normal.lean | AlgHom.restrictNormal_commutes | [] | [
334,
73
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
330,
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Mathlib/Algebra/Algebra/Hom.lean | AlgHom.map_smul | [] | [
267,
17
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
266,
11
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Mathlib/Init/Algebra/Order.lean | lt_or_le | [] | [
341,
65
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Data/List/Chain.lean | List.Chain.induction | [
{
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Mathlib/Data/Set/Sigma.lean | Set.sigma_subset_iff | [] | [
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Analysis/Calculus/FDerivSymmetric.lean | Convex.taylor_approx_two_segment | [
{
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Mathlib/GroupTheory/GroupAction/Embedding.lean | Function.Embedding.coe_smul | [] | [
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Mathlib/MeasureTheory/Measure/MeasureSpace.lean | MeasureTheory.Measure.restrict_toMeasurable_of_cover | [
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Mathlib/NumberTheory/PellMatiyasevic.lean | Pell.x_pos | [] | [
287,
48
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
286,
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Mathlib/Data/Set/Intervals/Basic.lean | Set.Iio_subset_Iio | [] | [
613,
86
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Data/List/MinMax.lean | List.argmin_singleton | [] | [
127,
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126,
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Mathlib/Topology/UniformSpace/UniformEmbedding.lean | Equiv.uniformEmbedding | [
{
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96
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Mathlib/MeasureTheory/MeasurableSpaceDef.lean | MeasurableSpace.measurableSet_inf | [] | [
482,
10
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480,
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Mathlib/Analysis/BoxIntegral/Basic.lean | BoxIntegral.HasIntegral.of_bRiemann_eq_false_of_forall_isLittleO | [
{
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722,
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Mathlib/Analysis/Calculus/Deriv/Basic.lean | hasDerivWithinAt_inter | [] | [
409,
28
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407,
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Mathlib/Order/GameAdd.lean | Prod.GameAdd.to_sym2 | [] | [
179,
35
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177,
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Mathlib/Algebra/Ring/BooleanRing.lean | of_boolalg_symm_diff_aux | [
{
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"tactic": "ring"
},
{
... | [
316,
61
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
312,
9
] |
Mathlib/RingTheory/PowerBasis.lean | PowerBasis.equivOfMinpoly_gen | [] | [
413,
29
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
411,
1
] |
Std/Data/Int/Lemmas.lean | Int.add_left_neg | [
{
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"state_before": "m : Nat\n⊢ -↑(succ m) + ↑(succ m) = 0",
"tactic": "simp"
},
{
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"state_before": "m : Nat\n⊢ - -[m+1] + -[m+1] = 0",
"tactic": "simp"
}
] | [
300,
22
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
297,
25
] |
Mathlib/MeasureTheory/Function/LocallyIntegrable.lean | MeasureTheory.LocallyIntegrableOn.norm | [] | [
60,
27
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
57,
1
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Mathlib/Data/Int/Order/Basic.lean | Int.coe_nat_nonpos_iff | [] | [
513,
40
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
511,
1
] |
Mathlib/Analysis/Convex/Gauge.lean | gauge_le_eq | [
{
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"state_before": "𝕜 : Type ?u.... | [
170,
100
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
155,
1
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Mathlib/Analysis/Analytic/Linear.lean | ContinuousLinearMap.uncurryBilinear_apply | [] | [
82,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
80,
1
] |
Mathlib/CategoryTheory/Preadditive/Mat.lean | CategoryTheory.Mat_.id_apply | [] | [
134,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
132,
1
] |
Mathlib/Data/Real/ENNReal.lean | ENNReal.top_toReal | [] | [
224,
49
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
224,
9
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Mathlib/RingTheory/UniqueFactorizationDomain.lean | Associates.reducible_not_mem_factorSet | [
{
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"state_before": "α : Type u_1\ninst✝ : CancelCommMonoidWithZero α\ndec_irr : (p : Associates α) → Decidable (Irreducible p)\np : Associates α\nhp : ¬Irreducible p\ns : FactorSet α\nh : if hp : Irreducible p then BfactorSetMem { val := p, property := hp } s else False\n⊢ False",
... | [
1346,
24
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1344,
1
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Mathlib/Data/Part.lean | Part.mem_bind | [] | [
492,
48
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
491,
1
] |
Mathlib/NumberTheory/Padics/PadicNumbers.lean | PadicSeq.norm_nonzero_of_not_equiv_zero | [] | [
155,
25
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
154,
1
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Mathlib/Combinatorics/Hall/Finite.lean | HallMarriageTheorem.hall_hard_inductive_step_A | [
{
"state_after": "ι : Type u\nα : Type v\ninst✝¹ : DecidableEq α\nt : ι → Finset α\ninst✝ : Fintype ι\nn : ℕ\nhn : Fintype.card ι = n + 1\nht : ∀ (s : Finset ι), card s ≤ card (Finset.biUnion s t)\nih :\n ∀ {ι' : Type u} [inst : Fintype ι'] (t' : ι' → Finset α),\n Fintype.card ι' ≤ n →\n (∀ (s' : Finse... | [
124,
18
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
81,
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Mathlib/MeasureTheory/Group/FundamentalDomain.lean | MeasureTheory.IsFundamentalDomain.set_integral_eq_tsum' | [
{
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452,
101
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
444,
1
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Mathlib/GroupTheory/Subsemigroup/Operations.lean | Subsemigroup.comap_iInf_map_of_injective | [] | [
413,
30
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
411,
1
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Mathlib/Data/Fin/Basic.lean | Fin.coe_neg | [] | [
1928,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1927,
11
] |
Mathlib/Analysis/Calculus/FDerivMeasurable.lean | measurable_derivWithin_Ioi | [
{
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"tactic": "simpa [derivWithin_Ioi_eq_Ici]... | [
814,
68
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
812,
1
] |
Mathlib/SetTheory/Game/PGame.lean | PGame.moveLeft_neg' | [
{
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"state_before": "x : PGame\ni : LeftMoves (-x)\n⊢ moveLeft (-x) i = -moveRight x (↑toLeftMovesNeg.symm i... | [
1273,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1271,
1
] |
Mathlib/CategoryTheory/Monoidal/OfChosenFiniteProducts/Basic.lean | CategoryTheory.MonoidalOfChosenFiniteProducts.rightUnitor_naturality | [
{
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319,
7
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
315,
1
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Mathlib/Data/Set/Prod.lean | Set.univ_pi_empty | [] | [
705,
53
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
704,
1
] |
Mathlib/Topology/LocalExtr.lean | IsLocalMinOn.comp_mono | [] | [
248,
18
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
246,
8
] |
Mathlib/RingTheory/NonUnitalSubsemiring/Basic.lean | NonUnitalSubsemiring.comap_inf | [] | [
751,
59
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
749,
1
] |
Mathlib/Data/ZMod/Basic.lean | ZMod.int_cast_surjective | [] | [
223,
35
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
222,
1
] |
Mathlib/MeasureTheory/Integral/IntegralEqImproper.lean | MeasureTheory.integrableOn_Iic_of_intervalIntegral_norm_bounded | [
{
"state_after": "ι : Type u_2\nE : Type u_1\nμ : Measure ℝ\nl : Filter ι\ninst✝² : NeBot l\ninst✝¹ : IsCountablyGenerated l\ninst✝ : NormedAddCommGroup E\na b✝ : ι → ℝ\nf : ℝ → E\nI b : ℝ\nhfi : ∀ (i : ι), IntegrableOn f (Ioc (a i) b)\nha : Tendsto a l atBot\nh : ∀ᶠ (i : ι) in l, (∫ (x : ℝ) in a i..b, ‖f x‖ ∂μ... | [
553,
11
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
542,
1
] |
Mathlib/MeasureTheory/Integral/IntervalIntegral.lean | intervalIntegral.integral_interval_add_interval_comm | [
{
"state_after": "no goals",
"state_before": "ι : Type ?u.15847423\n𝕜 : Type ?u.15847426\nE : Type u_1\nF : Type ?u.15847432\nA : Type ?u.15847435\ninst✝² : NormedAddCommGroup E\ninst✝¹ : CompleteSpace E\ninst✝ : NormedSpace ℝ E\na b c d : ℝ\nf g : ℝ → E\nμ : MeasureTheory.Measure ℝ\nhab : IntervalIntegrab... | [
942,
72
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
937,
1
] |
Std/Data/List/Lemmas.lean | List.get?_map | [] | [
571,
34
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
568,
9
] |
Mathlib/Order/WithBot.lean | WithTop.ofDual_symm_apply | [] | [
668,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
667,
1
] |
Mathlib/Order/SuccPred/Limit.lean | Order.not_isSuccLimit_iff | [
{
"state_after": "α : Type u_1\ninst✝¹ : PartialOrder α\ninst✝ : SuccOrder α\na b : α\nC : α → Sort ?u.4246\n⊢ (∃ b, b ⋖ a) ↔ ∃ b, ¬IsMax b ∧ succ b = a",
"state_before": "α : Type u_1\ninst✝¹ : PartialOrder α\ninst✝ : SuccOrder α\na b : α\nC : α → Sort ?u.4246\n⊢ ¬IsSuccLimit a ↔ ∃ b, ¬IsMax b ∧ succ b = a... | [
133,
34
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
129,
1
] |
Mathlib/Data/Real/EReal.lean | EReal.coe_ennreal_ne_one | [] | [
536,
25
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
535,
1
] |
Mathlib/LinearAlgebra/AffineSpace/Matrix.lean | AffineBasis.toMatrix_apply | [] | [
48,
46
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
47,
1
] |
Mathlib/CategoryTheory/Equivalence.lean | CategoryTheory.Equivalence.invFunIdAssoc_inv_app | [
{
"state_after": "C : Type u₁\ninst✝² : Category C\nD : Type u₂\ninst✝¹ : Category D\nE : Type u₃\ninst✝ : Category E\ne : C ≌ D\nF : D ⥤ E\nX : D\n⊢ (𝟙 (F.obj X) ≫ F.map (e.counitIso.inv.app X)) ≫ 𝟙 (F.obj (e.functor.obj (e.inverse.obj X))) =\n F.map ((counitInv e).app X)",
"state_before": "C : Type u... | [
355,
12
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
352,
1
] |
Mathlib/MeasureTheory/Measure/ProbabilityMeasure.lean | MeasureTheory.FiniteMeasure.tendsto_testAgainstNN_of_tendsto_normalize_testAgainstNN_of_tendsto_mass | [
{
"state_after": "case pos\nΩ : Type u_2\ninst✝² : Nonempty Ω\nm0 : MeasurableSpace Ω\nμ : FiniteMeasure Ω\ninst✝¹ : TopologicalSpace Ω\ninst✝ : OpensMeasurableSpace Ω\nγ : Type u_1\nF : Filter γ\nμs : γ → FiniteMeasure Ω\nμs_lim : Tendsto (fun i => normalize (μs i)) F (𝓝 (normalize μ))\nmass_lim : Tendsto (fu... | [
431,
34
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
415,
1
] |
Mathlib/Analysis/Analytic/Basic.lean | FormalMultilinearSeries.constFormalMultilinearSeries_radius | [
{
"state_after": "no goals",
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189,
45
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
186,
1
] |
Mathlib/RingTheory/Subsemiring/Basic.lean | RingHom.eq_of_eqOn_sdense | [] | [
1212,
42
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1210,
1
] |
Mathlib/MeasureTheory/Measure/OuterMeasure.lean | MeasureTheory.OuterMeasure.boundedBy_eq | [
{
"state_after": "no goals",
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"tactic": "rw [boundedBy_eq_ofFunction m_empty, ofFunc... | [
865,
72
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
863,
1
] |
Mathlib/CategoryTheory/Equivalence.lean | CategoryTheory.Equivalence.pow_zero | [] | [
456,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
455,
1
] |
Mathlib/Combinatorics/SimpleGraph/Subgraph.lean | SimpleGraph.Subgraph.Adj.snd_mem | [] | [
127,
17
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
126,
11
] |
Mathlib/RingTheory/MvPolynomial/Homogeneous.lean | MvPolynomial.IsHomogeneous.totalDegree | [
{
"state_after": "σ : Type u_1\nτ : Type ?u.163982\nR : Type u_2\nS : Type ?u.163988\ninst✝ : CommSemiring R\nφ ψ : MvPolynomial σ R\nm n : ℕ\nhφ : IsHomogeneous φ n\nh : φ ≠ 0\n⊢ (Finset.sup (support φ) fun s => Finsupp.sum s fun x e => e) = n",
"state_before": "σ : Type u_1\nτ : Type ?u.163982\nR : Type u... | [
219,
67
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
208,
1
] |
Mathlib/MeasureTheory/Measure/MeasureSpace.lean | MeasureTheory.ae_restrict_iff | [
{
"state_after": "α : Type u_1\nβ : Type ?u.567121\nγ : Type ?u.567124\nδ : Type ?u.567127\nι : Type ?u.567130\nR : Type ?u.567133\nR' : Type ?u.567136\nm0 : MeasurableSpace α\ninst✝¹ : MeasurableSpace β\ninst✝ : MeasurableSpace γ\nμ μ₁ μ₂ μ₃ ν ν' ν₁ ν₂ : Measure α\ns s' t : Set α\np : α → Prop\nhp : Measurable... | [
2800,
49
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2797,
1
] |
Mathlib/MeasureTheory/Measure/MeasureSpace.lean | MeasureTheory.OuterMeasure.toMeasure_top | [
{
"state_after": "α : Type ?u.157549\nβ : Type ?u.157552\nγ : Type ?u.157555\nδ : Type ?u.157558\nι : Type ?u.157561\nR : Type ?u.157564\nR' : Type ?u.157567\nm0 : MeasurableSpace α\ninst✝² : MeasurableSpace β\ninst✝¹ : MeasurableSpace γ\nμ μ₁ μ₂ μ₃ ν ν' ν₁ ν₂ : Measure α\ns s' t : Set α\ninst✝ : MeasurableSpac... | [
1067,
63
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1062,
1
] |
Mathlib/Algebra/Field/Defs.lean | IsField.nontrivial | [] | [
211,
21
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
210,
1
] |
Mathlib/Topology/Order/Basic.lean | Filter.tendsto_nhds_min_left | [] | [
752,
52
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
750,
1
] |
Mathlib/Algebra/Order/Ring/Defs.lean | add_le_mul_two_add | [
{
"state_after": "no goals",
"state_before": "α : Type u\nβ : Type ?u.14756\ninst✝ : OrderedSemiring α\na b c d : α\na2 : 2 ≤ a\nb0 : 0 ≤ b\n⊢ a + (a + a * b) ≤ a * (2 + b)",
"tactic": "rw [mul_add, mul_two, add_assoc]"
}
] | [
258,
59
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
254,
1
] |
Mathlib/MeasureTheory/Integral/SetToL1.lean | MeasureTheory.norm_setToFun_le | [
{
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1706,
68
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1704,
1
] |
Mathlib/Analysis/Calculus/LocalExtr.lean | exists_local_extr_Ioo | [] | [
295,
58
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
292,
1
] |
Mathlib/NumberTheory/LucasLehmer.lean | mersenne_pos | [
{
"state_after": "p : ℕ\nh : 0 < p\n⊢ 0 < 2 ^ p - 1",
"state_before": "p : ℕ\nh : 0 < p\n⊢ 0 < mersenne p",
"tactic": "dsimp [mersenne]"
},
{
"state_after": "no goals",
"state_before": "p : ℕ\nh : 0 < p\n⊢ 0 < 2 ^ p - 1",
"tactic": "calc\n 0 < 2 ^ 1 - 1 := by norm_num\n _ ≤ 2 ^ p - 1 :... | [
53,
92
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
49,
1
] |
Mathlib/ModelTheory/ElementaryMaps.lean | FirstOrder.Language.ElementaryEmbedding.toEmbedding_toHom | [] | [
183,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
182,
1
] |
Mathlib/Topology/Semicontinuous.lean | Continuous.lowerSemicontinuous | [] | [
298,
49
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
297,
1
] |
Mathlib/GroupTheory/Submonoid/Operations.lean | Submonoid.comap_inf | [] | [
342,
62
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
341,
1
] |
Mathlib/RingTheory/Ideal/Basic.lean | Ideal.submodule_span_eq | [] | [
119,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
118,
1
] |
Mathlib/Analysis/Convex/Normed.lean | convexHull_exists_dist_ge2 | [
{
"state_after": "case intro.intro\nι : Type ?u.36641\nE : Type u_1\ninst✝¹ : SeminormedAddCommGroup E\ninst✝ : NormedSpace ℝ E\ns✝ t✝ s t : Set E\nx y : E\nhx : x ∈ ↑(convexHull ℝ).toOrderHom s\nhy : y ∈ ↑(convexHull ℝ).toOrderHom t\nx' : E\nhx' : x' ∈ s\nHx' : dist x y ≤ dist x' y\n⊢ ∃ x', x' ∈ s ∧ ∃ y', y' ∈... | [
100,
62
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
95,
1
] |
Mathlib/Topology/UniformSpace/Separation.lean | UniformSpace.separated_of_uniformContinuous | [] | [
345,
40
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
344,
1
] |
Mathlib/Data/QPF/Univariate/Basic.lean | Qpf.lawfulFunctor | [] | [
94,
34
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
89,
1
] |
Mathlib/Analysis/SpecialFunctions/Log/Base.lean | Real.rpow_logb_eq_abs | [
{
"state_after": "case a\nb x y : ℝ\nb_pos : 0 < b\nb_ne_one : b ≠ 1\nhx : x ≠ 0\n⊢ b ^ logb b x ∈ Ioi 0\n\ncase a\nb x y : ℝ\nb_pos : 0 < b\nb_ne_one : b ≠ 1\nhx : x ≠ 0\n⊢ abs x ∈ Ioi 0\n\ncase a\nb x y : ℝ\nb_pos : 0 < b\nb_ne_one : b ≠ 1\nhx : x ≠ 0\n⊢ log (b ^ logb b x) = log (abs x)",
"state_before": ... | [
101,
44
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
95,
1
] |
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