file_path stringlengths 11 79 | full_name stringlengths 2 100 | traced_tactics list | end list | commit stringclasses 4
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|---|---|---|---|---|---|---|
Mathlib/Topology/MetricSpace/HausdorffDistance.lean | Metric.cthickening_eq_iInter_thickening' | [
{
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1
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Mathlib/Order/PFilter.lean | Order.PFilter.principal_le_iff | [] | [
121,
41
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
120,
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Mathlib/MeasureTheory/Function/L1Space.lean | MeasureTheory.HasFiniteIntegral.min_zero | [
{
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386,
71
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382,
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Mathlib/Data/List/Basic.lean | List.modifyNthTail_eq_take_drop | [] | [
2278,
77
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Mathlib/RingTheory/SimpleModule.lean | IsSimpleModule.congr | [] | [
68,
47
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
67,
1
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Mathlib/Topology/Instances/AddCircle.lean | AddCircle.coe_image_Icc_eq | [] | [
315,
75
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Mathlib/CategoryTheory/Sites/Subsheaf.lean | CategoryTheory.GrothendieckTopology.toImagePresheaf_ι | [] | [
381,
31
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
380,
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Mathlib/LinearAlgebra/Basic.lean | LinearEquiv.coe_neg | [] | [
2276,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2275,
1
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Mathlib/RingTheory/HahnSeries.lean | HahnSeries.mul_single_coeff_add | [
{
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Mathlib/LinearAlgebra/Prod.lean | LinearMap.coprod_apply | [] | [
220,
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218,
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Mathlib/SetTheory/Cardinal/Cofinality.lean | Ordinal.cof_bsup_le | [
{
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25
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461,
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Mathlib/RingTheory/DedekindDomain/Ideal.lean | FractionalIdeal.inv_eq | [] | [
74,
36
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
74,
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Mathlib/Analysis/NormedSpace/LinearIsometry.lean | LinearIsometryEquiv.antilipschitz | [] | [
1015,
27
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1014,
11
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Mathlib/Algebra/Module/LinearMap.lean | LinearMap.congr_arg | [] | [
307,
22
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
306,
11
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Mathlib/Data/Set/Pointwise/SMul.lean | Set.iInter_smul_subset | [] | [
270,
34
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
269,
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Mathlib/MeasureTheory/Integral/IntervalIntegral.lean | IntervalIntegrable.mono_set' | [] | [
213,
46
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Analysis/ODE/Gronwall.lean | gronwallBound_continuous_ε | [
{
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104,
91
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/CategoryTheory/Monoidal/FunctorCategory.lean | CategoryTheory.Monoidal.associator_hom_app | [] | [
134,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
132,
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Mathlib/Data/Set/Lattice.lean | Set.image2_iInter₂_subset_left | [
{
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1914,
59
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1911,
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Mathlib/MeasureTheory/Measure/MeasureSpace.lean | MeasureTheory.Measure.restrict_mono | [] | [
1545,
38
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1543,
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Mathlib/Data/Set/Lattice.lean | Set.prod_iUnion₂ | [
{
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1770,
80
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/CategoryTheory/Monad/Basic.lean | CategoryTheory.MonadHom.comp_toNatTrans | [] | [
249,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
247,
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Mathlib/RingTheory/WittVector/Basic.lean | WittVector.ghostFun_add | [
{
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196,
47
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
195,
9
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Mathlib/Analysis/InnerProductSpace/GramSchmidtOrtho.lean | gramSchmidt_linearIndependent | [] | [
252,
31
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
249,
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Mathlib/RingTheory/UniqueFactorizationDomain.lean | MulEquiv.uniqueFactorizationMonoid_iff | [] | [
379,
66
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
377,
1
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Mathlib/FieldTheory/IsAlgClosed/Spectrum.lean | spectrum.map_pow_of_nonempty | [
{
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"tactic": "simpa only [aeval_X_pow, eval_pow, eval_X] using map_polynom... | [
152,
97
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
150,
1
] |
Mathlib/Combinatorics/SimpleGraph/Subgraph.lean | SimpleGraph.Subgraph.iInf_adj | [
{
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"tactic": "simp [iInf]"
}
] | [
405,
14
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
404,
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] |
Mathlib/Algebra/Ring/Units.lean | Units.add_eq_mul_one_add_div | [
{
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"tactic": "rw [mul_add, mul_one, ← mul_assoc, Units.mul_inv, one_mul]"
}
] | [
130,
61
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
129,
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Mathlib/Order/Filter/Cofinite.lean | Function.Injective.comap_cofinite_eq | [] | [
205,
62
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
203,
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Mathlib/Topology/ContinuousFunction/Bounded.lean | BoundedContinuousFunction.nndist_eq | [
{
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237,
81
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
234,
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Mathlib/Algebra/Module/Torsion.lean | Submodule.mem_torsion_iff | [] | [
617,
10
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Data/TypeVec.lean | TypeVec.prod_id | [
{
"state_after": "n n✝ : ℕ\nα✝ β✝ : TypeVec n✝\n⊢ (id ⊗' id) = id",
"state_before": "n : ℕ\n⊢ ∀ {n : ℕ} {α β : TypeVec n}, (id ⊗' id) = id",
"tactic": "intros"
},
{
"state_after": "case a.h\nn n✝ : ℕ\nα✝ β✝ : TypeVec n✝\ni : Fin2 n✝\na : (α✝ ⊗ β✝) i\n⊢ (id ⊗' id) i a = id i a",
"state_before... | [
672,
15
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
666,
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Mathlib/Data/Prod/Lex.lean | Prod.Lex.le_iff | [] | [
62,
31
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
60,
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Mathlib/Data/Seq/WSeq.lean | Stream'.WSeq.think_equiv | [
{
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"state_before": "α : Type u\nβ : Type v\nγ : Type w\ns : WSeq α\n⊢ think s ~ʷ s",
"tactic": "unfold Equiv"
},
{
"state_after": "α : Type u\nβ : Type v\nγ : Type w\ns : WSeq α\n⊢ LiftR... | [
1120,
91
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1120,
1
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Mathlib/Data/Rat/NNRat.lean | NNRat.abs_coe | [] | [
328,
20
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
327,
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Mathlib/Algebra/BigOperators/Order.lean | Finset.sum_card_inter_le | [
{
"state_after": "ι : Type ?u.102009\nα : Type u_1\nβ : Type ?u.102015\nM : Type ?u.102018\nN : Type ?u.102021\nG : Type ?u.102024\nk : Type ?u.102027\nR : Type ?u.102030\ninst✝ : DecidableEq α\ns : Finset α\nB : Finset (Finset α)\nn : ℕ\nh : ∀ (a : α), a ∈ s → card (filter ((fun x x_1 => x ∈ x_1) a) B) ≤ n\n⊢ ... | [
325,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
321,
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Mathlib/Order/Filter/Basic.lean | Filter.mem_comap' | [
{
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"tactic": "rwa [hx]"
}
] | [
1905,
41
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1903,
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Mathlib/CategoryTheory/Bicategory/Free.lean | CategoryTheory.FreeBicategory.mk_whisker_left | [] | [
252,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
250,
1
] |
Mathlib/Combinatorics/Young/YoungDiagram.lean | YoungDiagram.mem_iff_lt_colLen | [
{
"state_after": "μ : YoungDiagram\ni j : ℕ\n⊢ (i, j) ∈ μ ↔ (j, i) ∈ transpose μ",
"state_before": "μ : YoungDiagram\ni j : ℕ\n⊢ (i, j) ∈ μ ↔ i < colLen μ j",
"tactic": "rw [← rowLen_transpose, ← mem_iff_lt_rowLen]"
},
{
"state_after": "no goals",
"state_before": "μ : YoungDiagram\ni j : ℕ\n... | [
380,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
378,
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Mathlib/Combinatorics/SimpleGraph/Connectivity.lean | SimpleGraph.Walk.IsPath.mk' | [] | [
880,
40
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
879,
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Mathlib/Analysis/Convex/Between.lean | sbtw_midpoint_of_ne | [
{
"state_after": "R : Type u_2\nV : Type u_3\nV' : Type ?u.631338\nP : Type u_1\nP' : Type ?u.631344\ninst✝³ : LinearOrderedField R\ninst✝² : AddCommGroup V\ninst✝¹ : Module R V\ninst✝ : AddTorsor V P\nx y : P\nh✝ : x ≠ y\nh : midpoint R x y ≠ x\n⊢ Sbtw R x (midpoint R x y) y",
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37
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Mathlib/Data/Matrix/Basic.lean | AddEquiv.mapMatrix_symm | [] | [
1445,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1444,
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Mathlib/MeasureTheory/Function/SimpleFunc.lean | MeasureTheory.SimpleFunc.lintegral_eq_of_measure_preimage | [
{
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Mathlib/Algebra/Module/Basic.lean | two_smul | [
{
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"tactic": "... | [
105,
91
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Data/List/Sort.lean | List.orderedInsert_length | [
{
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Mathlib/Algebra/Group/Defs.lean | zpow_ofNat | [] | [
930,
43
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
925,
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Mathlib/NumberTheory/PellMatiyasevic.lean | Pell.xn_add | [
{
"state_after": "a : ℕ\na1 : 1 < a\nm n : ℕ\nh : ↑(xn a1 (m + n)) = (pellZd a1 m).re * (pellZd a1 n).re + ↑(Pell.d a1) * (pellZd a1 m).im * (pellZd a1 n).im\nim_eq✝ : ↑(yn a1 (m + n)) = (pellZd a1 m).re * (pellZd a1 n).im + (pellZd a1 m).im * (pellZd a1 n).re\n⊢ xn a1 (m + n) = xn a1 m * xn a1 n + Pell.d a1 * ... | [
370,
16
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
366,
1
] |
Mathlib/Order/MinMax.lean | AntitoneOn.map_max | [] | [
249,
49
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
248,
1
] |
Mathlib/Algebra/Invertible.lean | pos_of_invertible_cast | [] | [
354,
84
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
353,
1
] |
Mathlib/RingTheory/AlgebraTower.lean | Basis.smul_repr_mk | [] | [
153,
25
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
151,
1
] |
Mathlib/Data/Finset/Basic.lean | Finset.pairwiseDisjoint_coe | [] | [
984,
46
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
982,
1
] |
Mathlib/Data/List/Basic.lean | List.modifyNthTail_modifyNthTail | [] | [
1509,
81
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1503,
1
] |
Mathlib/Algebra/Ring/Equiv.lean | RingEquiv.coe_mulEquiv_trans | [] | [
355,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
353,
1
] |
Mathlib/Analysis/Complex/CauchyIntegral.lean | Complex.circleIntegral_eq_zero_of_differentiable_on_off_countable | [
{
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427,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
416,
1
] |
Mathlib/Order/Filter/Basic.lean | Filter.Eventually.lt_top_iff_ne_top | [] | [
1709,
49
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1707,
1
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Mathlib/Order/Extension/Linear.lean | extend_partialOrder | [
{
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"state_before": "α : Type u\nr : α → α → Prop\ninst✝ : IsPartialOrder α r\n⊢ ∃ s x, r ≤ s",
"tactic": "let S := { s | IsPartialOrder α s }"
},
{
"state... | [
76,
44
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
29,
1
] |
Mathlib/MeasureTheory/Function/StronglyMeasurable/Basic.lean | Finset.stronglyMeasurable_prod | [
{
"state_after": "no goals",
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592,
71
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
590,
1
] |
Mathlib/CategoryTheory/Adjunction/Basic.lean | CategoryTheory.Adjunction.homEquiv_naturality_right | [
{
"state_after": "no goals",
"state_before": "C : Type u₁\ninst✝¹ : Category C\nD : Type u₂\ninst✝ : Category D\nF : C ⥤ D\nG : D ⥤ C\nadj : F ⊣ G\nX' X : C\nY Y' : D\nf : F.obj X ⟶ Y\ng : Y ⟶ Y'\n⊢ ↑(homEquiv adj X Y') (f ≫ g) = ↑(homEquiv adj X Y) f ≫ G.map g",
"tactic": "rw [homEquiv_unit, G.map_comp... | [
168,
59
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
166,
1
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Mathlib/MeasureTheory/Function/L1Space.lean | MeasureTheory.L1.integrable_coeFn | [
{
"state_after": "α : Type u_1\nβ : Type u_2\nγ : Type ?u.1281080\nδ : Type ?u.1281083\nm : MeasurableSpace α\nμ ν : Measure α\ninst✝² : MeasurableSpace δ\ninst✝¹ : NormedAddCommGroup β\ninst✝ : NormedAddCommGroup γ\nf : { x // x ∈ Lp β 1 }\n⊢ Memℒp (↑↑f) 1",
"state_before": "α : Type u_1\nβ : Type u_2\nγ :... | [
1275,
19
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1273,
1
] |
Mathlib/GroupTheory/Perm/Option.lean | map_equiv_removeNone | [
{
"state_after": "case H\nα : Type u_1\ninst✝ : DecidableEq α\nσ : Perm (Option α)\nx : Option α\n⊢ ↑(optionCongr (removeNone σ)) x = ↑(swap none (↑σ none) * σ) x",
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"tactic... | [
58,
19
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
47,
1
] |
Mathlib/Algebra/Hom/Centroid.lean | CentroidHom.toEnd_int_cast | [] | [
498,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
497,
1
] |
Mathlib/Order/Filter/Pointwise.lean | Filter.le_mul_iff | [] | [
372,
14
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
371,
1
] |
Mathlib/Data/Finset/Sups.lean | Finset.disjSups_subset_right | [] | [
463,
32
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
462,
1
] |
Mathlib/Data/List/Perm.lean | List.perm_comm | [] | [
68,
25
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
67,
1
] |
Mathlib/Topology/MetricSpace/Lipschitz.lean | LipschitzWith.dist_lt_mul_of_lt | [] | [
366,
88
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
364,
1
] |
Mathlib/LinearAlgebra/Prod.lean | Submodule.range_fst | [
{
"state_after": "no goals",
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597,
93
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
597,
1
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Mathlib/Data/Seq/WSeq.lean | Stream'.WSeq.dropn_nil | [
{
"state_after": "no goals",
"state_before": "α : Type u\nβ : Type v\nγ : Type w\nn : ℕ\n⊢ drop nil n = nil",
"tactic": "induction n <;> simp [*, drop]"
}
] | [
718,
89
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
718,
1
] |
Mathlib/SetTheory/Cardinal/Basic.lean | Cardinal.toNat_lt_of_lt_of_lt_aleph0 | [] | [
1710,
59
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1708,
1
] |
Mathlib/LinearAlgebra/Vandermonde.lean | Matrix.eq_zero_of_forall_index_sum_mul_pow_eq_zero | [
{
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"state_before": "R✝ : Type ?u.158834... | [
171,
12
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
166,
1
] |
Mathlib/LinearAlgebra/Basis.lean | Basis.coe_mapCoeffs | [] | [
404,
34
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
403,
1
] |
Mathlib/Logic/Basic.lean | exists_prop_congr | [] | [
897,
74
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
895,
1
] |
Mathlib/Data/Fin/Basic.lean | Fin.last_le_iff | [] | [
978,
13
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
977,
1
] |
Mathlib/Data/Finsupp/Basic.lean | Finsupp.mapDomain_injective | [
{
"state_after": "α : Type u_1\nβ : Type u_2\nγ : Type ?u.251410\nι : Type ?u.251413\nM : Type u_3\nM' : Type ?u.251419\nN : Type ?u.251422\nP : Type ?u.251425\nG : Type ?u.251428\nH : Type ?u.251431\nR : Type ?u.251434\nS : Type ?u.251437\ninst✝ : AddCommMonoid M\nv v₁✝ v₂✝ : α →₀ M\nf : α → β\nhf : Injective ... | [
619,
55
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
614,
1
] |
Mathlib/NumberTheory/Zsqrtd/Basic.lean | Zsqrtd.norm_one | [
{
"state_after": "no goals",
"state_before": "d : ℤ\n⊢ norm 1 = 1",
"tactic": "simp [norm]"
}
] | [
534,
56
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
534,
1
] |
Mathlib/LinearAlgebra/FreeModule/Finite/Rank.lean | LinearMap.finrank_range_le | [] | [
199,
81
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
197,
1
] |
Mathlib/Data/Fintype/Card.lean | Fintype.card_quotient_le | [] | [
876,
61
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
874,
1
] |
Mathlib/Topology/UniformSpace/Equiv.lean | UniformEquiv.coe_toEquiv | [] | [
93,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
92,
1
] |
Mathlib/Order/Filter/AtTopBot.lean | Filter.Tendsto.eventually_ne_atTop' | [] | [
218,
64
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
216,
11
] |
Mathlib/MeasureTheory/Integral/Lebesgue.lean | MeasureTheory.lintegral_mono_set | [] | [
153,
70
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
151,
1
] |
Mathlib/Algebra/BigOperators/Finprod.lean | finprod_curry₃ | [
{
"state_after": "α : Type u_2\nβ : Type u_3\nι : Type ?u.462199\nG : Type ?u.462202\nM : Type u_4\nN : Type ?u.462208\ninst✝¹ : CommMonoid M\ninst✝ : CommMonoid N\nf✝ g : α → M\na b : α\ns t : Set α\nγ : Type u_1\nf : α × β × γ → M\nh : Set.Finite (mulSupport f)\n⊢ (∏ᶠ (a : α) (b : β × γ), f (a, b)) = ∏ᶠ (a : ... | [
1279,
11
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1273,
1
] |
Mathlib/MeasureTheory/Measure/Portmanteau.lean | MeasureTheory.exists_null_frontier_thickening | [
{
"state_after": "Ω : Type u_1\ninst✝³ : PseudoEMetricSpace Ω\ninst✝² : MeasurableSpace Ω\ninst✝¹ : OpensMeasurableSpace Ω\nμ : Measure Ω\ninst✝ : SigmaFinite μ\ns : Set Ω\na b : ℝ\nhab : a < b\nmbles : ∀ (r : ℝ), MeasurableSet (frontier (Metric.thickening r s))\n⊢ ∃ r, r ∈ Ioo a b ∧ ↑↑μ (frontier (Metric.thick... | [
454,
58
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
443,
1
] |
Mathlib/Topology/Basic.lean | Filter.EventuallyEq.continuousAt | [] | [
1692,
46
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1690,
1
] |
Mathlib/Data/Polynomial/Degree/TrailingDegree.lean | Polynomial.natTrailingDegree_mem_support_of_nonzero | [] | [
315,
62
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
314,
1
] |
Mathlib/RingTheory/Polynomial/Content.lean | Polynomial.content_eq_gcd_leadingCoeff_content_eraseLead | [
{
"state_after": "case pos\nR : Type u_1\ninst✝² : CommRing R\ninst✝¹ : IsDomain R\ninst✝ : NormalizedGCDMonoid R\np : R[X]\nh : p = 0\n⊢ content p = gcd (leadingCoeff p) (content (eraseLead p))\n\ncase neg\nR : Type u_1\ninst✝² : CommRing R\ninst✝¹ : IsDomain R\ninst✝ : NormalizedGCDMonoid R\np : R[X]\nh : ¬p ... | [
216,
36
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
207,
1
] |
Mathlib/Topology/FiberBundle/Trivialization.lean | Pretrivialization.proj_symm_apply | [
{
"state_after": "ι : Type ?u.6755\nB : Type u_1\nF : Type u_2\nE : B → Type ?u.6766\nZ : Type u_3\ninst✝¹ : TopologicalSpace B\ninst✝ : TopologicalSpace F\nproj : Z → B\ne : Pretrivialization F proj\nx✝ : Z\nx : B × F\nhx : x ∈ e.target\nthis : proj (↑(LocalEquiv.symm e.toLocalEquiv) x) = (↑e (↑(LocalEquiv.sym... | [
150,
44
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
148,
1
] |
Mathlib/Order/Hom/CompleteLattice.lean | sSupHom.coe_bot | [] | [
372,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
371,
1
] |
Mathlib/Data/Multiset/Basic.lean | Multiset.exists_mem_of_ne_zero | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\nβ : Type ?u.17075\nγ : Type ?u.17078\ns : Multiset α\nl✝ : List α\nhl : Quot.mk Setoid.r l✝ ≠ 0\na : α\nl : List α\nx✝ : Quot.mk Setoid.r (a :: l) ≠ 0\n⊢ a ∈ Quot.mk Setoid.r (a :: l)",
"tactic": "simp"
}
] | [
277,
32
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
273,
1
] |
Mathlib/MeasureTheory/Measure/MeasureSpace.lean | comap_subtype_coe_apply | [] | [
4230,
55
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
4228,
1
] |
Mathlib/FieldTheory/Adjoin.lean | IntermediateField.mem_top | [] | [
109,
10
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
108,
1
] |
Mathlib/Logic/Equiv/Functor.lean | Functor.mapEquiv_refl | [
{
"state_after": "case H\nα β : Type u\nf : Type u → Type v\ninst✝¹ : Functor f\ninst✝ : LawfulFunctor f\nx : f α\n⊢ ↑(mapEquiv f (Equiv.refl α)) x = ↑(Equiv.refl (f α)) x",
"state_before": "α β : Type u\nf : Type u → Type v\ninst✝¹ : Functor f\ninst✝ : LawfulFunctor f\n⊢ mapEquiv f (Equiv.refl α) = Equiv.r... | [
63,
31
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
60,
1
] |
Mathlib/Order/Hom/Lattice.lean | LatticeHom.comp_assoc | [] | [
1141,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1139,
1
] |
Mathlib/Data/Int/Parity.lean | Int.two_mul_ediv_two_of_odd | [] | [
281,
55
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
280,
1
] |
Mathlib/Data/Pi/Algebra.lean | Pi.inv_comp | [] | [
193,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
192,
1
] |
Mathlib/LinearAlgebra/Basis.lean | Basis.sumCoords_self_apply | [
{
"state_after": "no goals",
"state_before": "ι : Type u_2\nι' : Type ?u.168945\nR : Type u_1\nR₂ : Type ?u.168951\nK : Type ?u.168954\nM : Type u_3\nM' : Type ?u.168960\nM'' : Type ?u.168963\nV : Type u\nV' : Type ?u.168968\ninst✝⁴ : Semiring R\ninst✝³ : AddCommMonoid M\ninst✝² : Module R M\ninst✝¹ : AddCo... | [
258,
89
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
256,
1
] |
Mathlib/Geometry/Manifold/LocalInvariantProperties.lean | StructureGroupoid.LocalInvariantProp.liftPropWithinAt_indep_chart_target | [
{
"state_after": "H : Type u_3\nM : Type u_4\nH' : Type u_1\nM' : Type u_2\nX : Type ?u.27125\ninst✝⁷ : TopologicalSpace H\ninst✝⁶ : TopologicalSpace M\ninst✝⁵ : ChartedSpace H M\ninst✝⁴ : TopologicalSpace H'\ninst✝³ : TopologicalSpace M'\ninst✝² : ChartedSpace H' M'\ninst✝¹ : TopologicalSpace X\nG : StructureG... | [
337,
65
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
330,
1
] |
Mathlib/Topology/Connected.lean | IsConnected.prod | [] | [
480,
35
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
478,
1
] |
Mathlib/Topology/MetricSpace/Basic.lean | Metric.mem_closure_range_iff | [
{
"state_after": "no goals",
"state_before": "α : Type u\nβ : Type v\nX : Type ?u.303666\nι : Type ?u.303669\ninst✝ : PseudoMetricSpace α\nx y z : α\nε ε₁ ε₂ : ℝ\ns : Set α\ne : β → α\na : α\n⊢ a ∈ closure (range e) ↔ ∀ (ε : ℝ), ε > 0 → ∃ k, dist a (e k) < ε",
"tactic": "simp only [mem_closure_iff, exis... | [
1904,
48
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1902,
1
] |
Mathlib/Topology/Instances/ENNReal.lean | ENNReal.nhdsWithin_Ioi_zero_neBot | [] | [
216,
27
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
215,
1
] |
Mathlib/Order/Filter/Extr.lean | Filter.EventuallyEq.isMinFilter_iff | [] | [
668,
67
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
666,
1
] |
src/lean/Init/SimpLemmas.lean | Bool.not_beq_false | [
{
"state_after": "no goals",
"state_before": "b : Bool\n⊢ (!b == false) = (b == true)",
"tactic": "cases b <;> rfl"
}
] | [
127,
100
] | d5348dfac847a56a4595fb6230fd0708dcb4e7e9 | https://github.com/leanprover/lean4 | [
127,
9
] |
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