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/Finset/Basic.lean | Finset.filter_union_right | [
{
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"tactic": "simp [mem_fil... | [
2817,
61
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2816,
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Mathlib/LinearAlgebra/Dual.lean | Subspace.dualLift_of_subtype | [
{
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1022,
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1020,
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Mathlib/Data/Int/Cast/Lemmas.lean | Sum.elim_intCast_intCast | [] | [
368,
40
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
366,
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Mathlib/LinearAlgebra/Span.lean | Submodule.span_subset_span | [] | [
514,
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Mathlib/CategoryTheory/Generator.lean | CategoryTheory.isSeparator_iff_epi | [
{
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Mathlib/ModelTheory/Basic.lean | FirstOrder.Language.Embedding.injective | [] | [
665,
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Mathlib/Data/Set/Intervals/OrdConnectedComponent.lean | Set.ordConnectedComponent_empty | [] | [
71,
53
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
70,
1
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Mathlib/Data/Set/Function.lean | Function.update_comp_eq_of_not_mem_range | [] | [
1687,
41
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1685,
1
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Mathlib/Data/Real/ENNReal.lean | ENNReal.max_zero_left | [] | [
736,
27
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
735,
1
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Mathlib/CategoryTheory/Generator.lean | CategoryTheory.isDetector_op_iff | [
{
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"tactic": "rw [IsDetector, IsCodetector, ← isDetecting_op_iff, Set.singleton_op]"
}
] | [
423,
72
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
422,
1
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Mathlib/Order/Monotone/Monovary.lean | MonovaryOn.comp_monotone_on_left | [] | [
180,
70
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
179,
1
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Mathlib/Computability/Primrec.lean | Primrec.list_get? | [
{
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15
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/GroupTheory/Submonoid/Operations.lean | Submonoid.mem_map_iff_mem | [] | [
264,
19
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
262,
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Mathlib/Analysis/Convex/Exposed.lean | exposedPoints_subset_extremePoints | [] | [
271,
101
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
270,
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Mathlib/Topology/ContinuousFunction/Compact.lean | ContinuousMap.neg_norm_le_apply | [] | [
255,
83
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254,
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Mathlib/RingTheory/Ideal/Operations.lean | Ideal.prod_sup_eq_top | [] | [
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72
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
717,
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Mathlib/MeasureTheory/MeasurableSpaceDef.lean | MeasurableSpace.generateFrom_sup_generateFrom | [] | [
438,
36
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
436,
1
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Mathlib/Order/Basic.lean | PUnit.max_eq | [] | [
1367,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1366,
1
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Mathlib/AlgebraicTopology/SimplicialObject.lean | CategoryTheory.CosimplicialObject.δ_comp_δ_self | [
{
"state_after": "C : Type u\ninst✝ : Category C\nX : CosimplicialObject C\nn : ℕ\ni : Fin (n + 2)\n⊢ X.map (SimplexCategory.δ i) ≫ X.map (SimplexCategory.δ (↑Fin.castSucc i)) =\n X.map (SimplexCategory.δ i) ≫ X.map (SimplexCategory.δ (Fin.succ i))",
"state_before": "C : Type u\ninst✝ : Category C\nX : C... | [
509,
58
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
506,
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Mathlib/Algebra/TrivSqZeroExt.lean | TrivSqZeroExt.fst_smul | [] | [
289,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
288,
1
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Mathlib/NumberTheory/Liouville/LiouvilleWith.lean | LiouvilleWith.int_mul_iff | [
{
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"tactic": "rw [mul_comm, mul_int_iff hm]"
}
] | [
161,
32
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
160,
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Mathlib/Data/Matrix/Basic.lean | Matrix.row_add | [
{
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Mathlib/Data/Set/Ncard.lean | Set.ncard_exchange | [
{
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Mathlib/FieldTheory/Separable.lean | Polynomial.Separable.injective_of_prod_X_sub_C | [] | [
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Mathlib/GroupTheory/FreeProduct.lean | FreeProduct.NeWord.inv_prod | [
{
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"tactic": "induction w <;> simp [inv, *]"
... | [
680,
32
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/MeasureTheory/Integral/SetToL1.lean | MeasureTheory.SimpleFunc.setToSimpleFunc_sub | [
{
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Mathlib/MeasureTheory/Function/L1Space.lean | MeasureTheory.Integrable.toL1_eq_mk | [] | [
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Data/Fin/Tuple/Basic.lean | Fin.comp_init | [
{
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Mathlib/CategoryTheory/Subterminal.lean | CategoryTheory.IsSubterminal.def | [] | [
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Mathlib/Order/Hom/Set.lean | compl_antitone | [] | [
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30
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Order/Bounds/Basic.lean | bddAbove_Iic | [] | [
535,
21
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Init/Logic.lean | false_and_iff | [] | [
148,
69
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/GroupTheory/Submonoid/Operations.lean | MonoidHom.coe_mker | [] | [
1172,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1171,
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Mathlib/RingTheory/Ideal/Basic.lean | mul_mem_nonunits_left | [] | [
838,
31
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
837,
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] |
Mathlib/Topology/Order.lean | isOpen_singleton_true | [] | [
902,
58
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
901,
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Mathlib/Geometry/Manifold/Instances/Real.lean | EuclideanHalfSpace.ext | [] | [
92,
15
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
90,
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Mathlib/Topology/Basic.lean | frontier_empty | [
{
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}
] | [
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/LinearAlgebra/Basic.lean | LinearMap.ker_rangeRestrict | [] | [
1775,
34
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Logic/Equiv/Basic.lean | Equiv.Perm.extendDomain_apply_image | [
{
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"tactic": "simp [Perm.extendDomain]"
}
] | [
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27
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Mathlib/LinearAlgebra/FreeModule/PID.lean | dvd_generator_iff | [
{
"state_after": "ι : Type ?u.23103\nR : Type u_1\ninst✝⁴ : CommRing R\ninst✝³ : IsDomain R\nM : Type ?u.23295\ninst✝² : AddCommGroup M\ninst✝¹ : Module R M\nb : ι → M\nI : Ideal R\ninst✝ : IsPrincipal I\nx : R\nhx : x ∈ I\n⊢ x ∣ generator I ↔ span R {generator I} = Ideal.span {x}",
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Mathlib/Order/Hom/CompleteLattice.lean | sInfHom.comp_apply | [] | [
468,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
467,
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Mathlib/Data/Matrix/PEquiv.lean | PEquiv.toMatrix_symm | [
{
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"state_before": "k : Type ?u.7888\nl : ... | [
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
79,
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Mathlib/Data/Set/Finite.lean | Set.Finite.iSup_biInf_of_antitone | [] | [
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89
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/RingTheory/AlgebraTower.lean | Basis.algebraMap_injective | [] | [
182,
46
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
179,
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Mathlib/Order/JordanHolder.lean | CompositionSeries.ofList_toList' | [] | [
302,
18
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/ModelTheory/Substructures.lean | FirstOrder.Language.Substructure.coe_inf | [] | [
196,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
194,
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Mathlib/Data/Ordmap/Ordset.lean | Ordnode.all_node3L | [
{
"state_after": "no goals",
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"tactic": "simp [node3L, all_node', and_assoc]"
}
] | [
499,
38
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
497,
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Mathlib/Algebra/BigOperators/Basic.lean | Finset.prod_multiset_map_count | [
{
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Mathlib/Control/Fold.lean | Traversable.foldrm_map | [] | [
431,
99
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
430,
1
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Mathlib/Order/Bounds/Basic.lean | bddBelow_iff_subset_Ici | [] | [
786,
10
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
785,
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Mathlib/AlgebraicGeometry/PrimeSpectrum/Basic.lean | PrimeSpectrum.zeroLocus_bot | [] | [
269,
15
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
268,
1
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Mathlib/LinearAlgebra/Determinant.lean | LinearMap.detAux_comp | [] | [
169,
35
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
167,
1
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Mathlib/Data/Real/Pointwise.lean | Real.smul_iInf_of_nonpos | [] | [
106,
88
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
105,
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Mathlib/Analysis/NormedSpace/lpSpace.lean | lp.coe_lpSubmodule | [] | [
640,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
639,
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Mathlib/SetTheory/ZFC/Basic.lean | Class.coe_powerset | [] | [
1669,
34
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1668,
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Mathlib/Data/Set/Ncard.lean | Set.ncard_diff_add_ncard | [
{
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"tactic": "rw [← union_diff_right, ncard_diff_add_n... | [
526,
96
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
523,
1
] |
Mathlib/Topology/Sets/Compacts.lean | TopologicalSpace.PositiveCompacts.coe_toCompacts | [] | [
366,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
365,
1
] |
Mathlib/Analysis/Normed/Group/Basic.lean | norm_le_pi_norm' | [] | [
2511,
59
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2510,
1
] |
Mathlib/Topology/MetricSpace/Basic.lean | nndist_toAdd | [] | [
3218,
95
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
3218,
1
] |
Mathlib/Data/Sum/Order.lean | OrderIso.sumAssoc_symm_apply_inl | [] | [
589,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
588,
1
] |
Mathlib/Algebra/Algebra/Subalgebra/Basic.lean | Subalgebra.coe_comap | [] | [
529,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
528,
1
] |
Mathlib/FieldTheory/Fixed.lean | FixedPoints.minpoly.of_eval₂ | [
{
"state_after": "M : Type u\ninst✝⁵ : Monoid M\nG : Type u\ninst✝⁴ : Group G\nF : Type v\ninst✝³ : Field F\ninst✝² : MulSemiringAction M F\ninst✝¹ : MulSemiringAction G F\nm : M\ninst✝ : Fintype G\nx : F\nf : Polynomial { x // x ∈ subfield G F }\nhf : Polynomial.eval₂ (Subfield.subtype (subfield G F)) x f = 0\... | [
229,
79
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
210,
1
] |
Mathlib/Algebra/BigOperators/Basic.lean | Int.cast_list_sum | [] | [
2227,
32
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2226,
1
] |
Mathlib/Analysis/Convex/Side.lean | AffineSubspace.sSameSide_iff_exists_left | [
{
"state_after": "R : Type u_1\nV : Type u_2\nV' : Type ?u.246833\nP : Type u_3\nP' : Type ?u.246839\ninst✝⁶ : LinearOrderedField R\ninst✝⁵ : AddCommGroup V\ninst✝⁴ : Module R V\ninst✝³ : AddTorsor V P\ninst✝² : AddCommGroup V'\ninst✝¹ : Module R V'\ninst✝ : AddTorsor V' P'\ns : AffineSubspace R P\nx y p₁ : P\n... | [
467,
23
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
463,
1
] |
Mathlib/Topology/Algebra/Module/Multilinear.lean | ContinuousMultilinearMap.cons_add | [] | [
348,
36
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
346,
1
] |
Mathlib/Data/List/Pairwise.lean | List.Pairwise.and_mem | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\nβ : Type ?u.4180\nR S T : α → α → Prop\na : α\nl✝ l : List α\n⊢ ∀ {a b : α}, a ∈ l → b ∈ l → (R a b ↔ a ∈ l ∧ b ∈ l ∧ R a b)",
"tactic": "simp (config := { contextual := true }) only [true_and_iff, iff_self_iff, forall₂_true_iff]"
}
] | [
113,
101
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
110,
1
] |
Mathlib/Data/Rat/NNRat.lean | NNRat.ext | [] | [
73,
14
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
72,
1
] |
Mathlib/Analysis/NormedSpace/Multilinear.lean | ContinuousMultilinearMap.uncurryRight_apply | [] | [
1467,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1464,
1
] |
Mathlib/MeasureTheory/Function/L1Space.lean | MeasureTheory.hasFiniteIntegral_congr' | [] | [
161,
70
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
159,
1
] |
Mathlib/NumberTheory/Zsqrtd/Basic.lean | Zsqrtd.norm_neg | [
{
"state_after": "no goals",
"state_before": "d : ℤ\nx : ℤ√d\n⊢ ↑(norm (-x)) = ↑(norm x)",
"tactic": "rw [norm_eq_mul_conj, star_neg, neg_mul_neg, norm_eq_mul_conj]"
}
] | [
567,
90
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
565,
1
] |
Mathlib/GroupTheory/GroupAction/SubMulAction.lean | SubMulAction.val_neg | [] | [
375,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
374,
1
] |
Mathlib/Algebra/Lie/Normalizer.lean | LieSubalgebra.coe_normalizer_eq_normalizer | [] | [
136,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
134,
1
] |
Mathlib/Logic/Equiv/Basic.lean | Equiv.swap_apply_eq_iff | [
{
"state_after": "no goals",
"state_before": "α : Sort u_1\ninst✝ : DecidableEq α\nx y z w : α\n⊢ ↑(swap x y) z = w ↔ z = ↑(swap x y) w",
"tactic": "rw [apply_eq_iff_eq_symm_apply, symm_swap]"
}
] | [
1642,
45
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1641,
1
] |
Mathlib/Data/Set/Pointwise/Basic.lean | Set.inter_mul_union_subset | [] | [
866,
37
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
865,
1
] |
Mathlib/Topology/Algebra/Nonarchimedean/Basic.lean | NonarchimedeanGroup.nonarchimedean_of_emb | [
{
"state_after": "case a\nG : Type u_1\ninst✝⁸ : Group G\ninst✝⁷ : TopologicalSpace G\ninst✝⁶ : NonarchimedeanGroup G\nH : Type u_2\ninst✝⁵ : Group H\ninst✝⁴ : TopologicalSpace H\ninst✝³ : TopologicalGroup H\nK : Type ?u.2210\ninst✝² : Group K\ninst✝¹ : TopologicalSpace K\ninst✝ : NonarchimedeanGroup K\nf : G →... | [
80,
99
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
74,
1
] |
Mathlib/Analysis/SpecialFunctions/Trigonometric/Angle.lean | Real.Angle.abs_toReal_coe_eq_self_iff | [] | [
645,
25
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
642,
1
] |
Mathlib/LinearAlgebra/Dual.lean | LinearMap.ker_dualMap_eq_dualAnnihilator_range | [
{
"state_after": "case h\nR : Type u\ninst✝⁴ : CommSemiring R\nM₁ : Type v\nM₂ : Type v'\ninst✝³ : AddCommMonoid M₁\ninst✝² : Module R M₁\ninst✝¹ : AddCommMonoid M₂\ninst✝ : Module R M₂\nf : M₁ →ₗ[R] M₂\nφ : Dual R M₂\n⊢ φ ∈ ker (dualMap f) ↔ φ ∈ Submodule.dualAnnihilator (range f)",
"state_before": "R : Ty... | [
1175,
28
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1165,
1
] |
Mathlib/RingTheory/WittVector/WittPolynomial.lean | wittPolynomial_eq_sum_c_mul_x_pow | [
{
"state_after": "p : ℕ\nR : Type u_1\ninst✝¹ : CommRing R\ninst✝ : DecidableEq R\nn : ℕ\n⊢ ∀ (x : ℕ), x ∈ range (n + 1) → ↑(monomial (single x (p ^ (n - x)))) (↑p ^ x) = ↑C (↑p ^ x) * X x ^ p ^ (n - x)",
"state_before": "p : ℕ\nR : Type u_1\ninst✝¹ : CommRing R\ninst✝ : DecidableEq R\nn : ℕ\n⊢ wittPolynomi... | [
92,
16
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
87,
1
] |
Mathlib/Topology/Constructions.lean | isClosed_range_inl | [
{
"state_after": "α : Type u\nβ : Type v\nγ : Type ?u.140260\nδ : Type ?u.140263\nε : Type ?u.140266\nζ : Type ?u.140269\ninst✝³ : TopologicalSpace α\ninst✝² : TopologicalSpace β\ninst✝¹ : TopologicalSpace γ\ninst✝ : TopologicalSpace δ\n⊢ IsOpen (range inr)",
"state_before": "α : Type u\nβ : Type v\nγ : Typ... | [
935,
25
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
933,
1
] |
Mathlib/Data/Set/Finite.lean | Set.infinite_univ | [] | [
1278,
24
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1277,
1
] |
Mathlib/Algebra/TrivSqZeroExt.lean | TrivSqZeroExt.snd_mul | [] | [
455,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
453,
1
] |
Mathlib/Topology/MetricSpace/HausdorffDistance.lean | EMetric.exists_pos_forall_lt_edist | [
{
"state_after": "case inl\nι : Sort ?u.28317\nα : Type u\nβ : Type v\ninst✝¹ : PseudoEMetricSpace α\ninst✝ : PseudoEMetricSpace β\nx y : α\nt : Set α\nΦ : α → β\nht : IsClosed t\nhs : IsCompact ∅\nhst : Disjoint ∅ t\n⊢ ∃ r, 0 < r ∧ ∀ (x : α), x ∈ ∅ → ∀ (y : α), y ∈ t → ↑r < edist x y\n\ncase inr\nι : Sort ?u.2... | [
250,
96
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
240,
1
] |
Mathlib/Topology/GDelta.lean | isGδ_empty | [] | [
63,
20
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
62,
1
] |
Mathlib/Data/Finset/Lattice.lean | Finset.sup'_singleton | [] | [
802,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
801,
1
] |
Mathlib/Data/Set/Semiring.lean | SetSemiring.down_add | [] | [
125,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
124,
1
] |
Mathlib/Data/PNat/Defs.lean | PNat.coe_le_coe | [] | [
137,
10
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
136,
1
] |
Mathlib/Order/Antichain.lean | IsAntichain.eq' | [] | [
69,
23
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
67,
11
] |
Mathlib/RingTheory/ClassGroup.lean | ClassGroup.mk_canonicalEquiv | [
{
"state_after": "R : Type u_2\nK : Type u_3\nL : Type ?u.841605\ninst✝¹³ : CommRing R\ninst✝¹² : Field K\ninst✝¹¹ : Field L\ninst✝¹⁰ : DecidableEq L\ninst✝⁹ : Algebra R K\ninst✝⁸ : IsFractionRing R K\ninst✝⁷ : Algebra K L\ninst✝⁶ : FiniteDimensional K L\ninst✝⁵ : Algebra R L\ninst✝⁴ : IsScalarTower R K L\ninst... | [
229,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
223,
1
] |
Mathlib/SetTheory/Cardinal/Ordinal.lean | Cardinal.aleph_le_beth | [
{
"state_after": "case H₁\no : Ordinal\n⊢ aleph 0 ≤ beth 0\n\ncase H₂\no : Ordinal\n⊢ ∀ (o : Ordinal), aleph o ≤ beth o → aleph (succ o) ≤ beth (succ o)\n\ncase H₃\no : Ordinal\n⊢ ∀ (o : Ordinal), Ordinal.IsLimit o → (∀ (o' : Ordinal), o' < o → aleph o' ≤ beth o') → aleph o ≤ beth o",
"state_before": "o : O... | [
469,
63
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
461,
1
] |
Mathlib/Order/CompleteLattice.lean | iSup_plift_up | [] | [
668,
50
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
667,
1
] |
Mathlib/GroupTheory/Complement.lean | Subgroup.exists_left_transversal | [
{
"state_after": "G : Type u_1\ninst✝ : Group G\nH K : Subgroup G\nS T : Set G\ng : G\nq : G ⧸ H\n⊢ ↑(Function.update Quotient.out' (Quotient.mk'' g) g q) = q",
"state_before": "G : Type u_1\ninst✝ : Group G\nH K : Subgroup G\nS T : Set G\ng : G\n⊢ ∃ S, S ∈ leftTransversals ↑H ∧ g ∈ S",
"tactic": "refin... | [
323,
15
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
315,
1
] |
Mathlib/Control/Fold.lean | Traversable.length_toList | [
{
"state_after": "α β γ : Type u\nt : Type u → Type u\ninst✝¹ : Traversable t\ninst✝ : IsLawfulTraversable t\nxs : t α\n⊢ (foldl (fun l x => { down := l.down + 1 }) { down := 0 } xs).down = List.length (toList xs)",
"state_before": "α β γ : Type u\nt : Type u → Type u\ninst✝¹ : Traversable t\ninst✝ : IsLawf... | [
402,
20
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
394,
1
] |
Mathlib/AlgebraicGeometry/PrimeSpectrum/Basic.lean | PrimeSpectrum.comap_id | [
{
"state_after": "case h.asIdeal.h\nR : Type u\nS : Type v\ninst✝² : CommRing R\ninst✝¹ : CommRing S\nS' : Type ?u.132631\ninst✝ : CommRing S'\nf : R →+* S\na✝ : PrimeSpectrum R\nx✝ : R\n⊢ x✝ ∈ (↑(comap (RingHom.id R)) a✝).asIdeal ↔ x✝ ∈ (↑(ContinuousMap.id (PrimeSpectrum R)) a✝).asIdeal",
"state_before": "... | [
606,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
604,
1
] |
Mathlib/AlgebraicTopology/SimplexCategory.lean | SimplexCategory.δ_comp_σ_self | [
{
"state_after": "case mk\nn i : ℕ\nhi : i < n + 1\n⊢ δ (↑Fin.castSucc { val := i, isLt := hi }) ≫ σ { val := i, isLt := hi } = 𝟙 [n]",
"state_before": "n : ℕ\ni : Fin (n + 1)\n⊢ δ (↑Fin.castSucc i) ≫ σ i = 𝟙 [n]",
"tactic": "rcases i with ⟨i, hi⟩"
},
{
"state_after": "case mk.a.h.h.mk.h\nn i ... | [
283,
34
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
275,
1
] |
Mathlib/Topology/DiscreteQuotient.lean | DiscreteQuotient.ofLE_continuous | [] | [
237,
33
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
236,
1
] |
Mathlib/RingTheory/Subsemiring/Basic.lean | Subsemiring.coe_toSubmonoid | [] | [
479,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
478,
1
] |
Mathlib/Geometry/Manifold/ChartedSpace.lean | mem_groupoid_of_pregroupoid | [] | [
349,
10
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
347,
1
] |
Mathlib/MeasureTheory/Integral/SetIntegral.lean | ContinuousLinearMap.integral_comp_comm | [
{
"state_after": "case h_ind\nα : Type u_4\nβ : Type ?u.1539639\nE : Type u_2\nF : Type u_3\ninst✝⁹ : MeasurableSpace α\nι : Type ?u.1539651\ninst✝⁸ : NormedAddCommGroup E\nμ : MeasureTheory.Measure α\n𝕜 : Type u_1\ninst✝⁷ : IsROrC 𝕜\ninst✝⁶ : NormedSpace 𝕜 E\ninst✝⁵ : NormedAddCommGroup F\ninst✝⁴ : NormedSp... | [
1103,
23
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1085,
1
] |
Mathlib/AlgebraicTopology/DoldKan/PInfty.lean | AlgebraicTopology.DoldKan.P_is_eventually_constant | [
{
"state_after": "case zero\nC : Type u_2\ninst✝¹ : Category C\ninst✝ : Preadditive C\nX : SimplicialObject C\nq : ℕ\nhqn : Nat.zero ≤ q\n⊢ HomologicalComplex.Hom.f (P (q + 1)) Nat.zero = HomologicalComplex.Hom.f (P q) Nat.zero\n\ncase succ\nC : Type u_2\ninst✝¹ : Category C\ninst✝ : Preadditive C\nX : Simplici... | [
44,
80
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
38,
1
] |
Mathlib/Data/Finsupp/Order.lean | Finsupp.support_tsub | [
{
"state_after": "no goals",
"state_before": "ι : Type u_1\nα : Type u_2\ninst✝² : CanonicallyOrderedAddMonoid α\ninst✝¹ : Sub α\ninst✝ : OrderedSub α\nf g : ι →₀ α\ni : ι\na b : α\nf1 f2 : ι →₀ α\n⊢ (f1 - f2).support ⊆ f1.support",
"tactic": "simp (config := { contextual := true }) only [subset_iff, ts... | [
212,
72
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
210,
1
] |
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