url stringclasses 3
values | commit stringclasses 3
values | file_path stringlengths 20 79 | full_name stringlengths 3 115 | start list | end list | traced_tactics stringlengths 2 997k |
|---|---|---|---|---|---|---|
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Ideal.lean | Order.Ideal.mem_sup | [
419,
1
] | [
420,
10
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Sums/Associator.lean | CategoryTheory.sum.associator_obj_inl_inl | [
47,
1
] | [
48,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Order/Nonneg/Field.lean | Nonneg.mk_zpow | [
77,
1
] | [
79,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Analytic/IsolatedZeros.lean | AnalyticOn.eqOn_zero_of_preconnected_of_mem_closure | [
174,
1
] | [
177,
51
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/LocallyFinite.lean | LocallyFinite.continuous | [
115,
11
] | [
118,
83
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/AffineSpace/Combination.lean | mem_affineSpan_iff_eq_weightedVSubOfPoint_vadd | [
1151,
1
] | [
1171,
50
] | [{"tactic": "constructor", "annotated_tactic": ["constructor", []], "state_before": "\u03b9 : Type u_1\nk : Type u_2\nV : Type u_3\nP : Type u_4\ninst\u271d\u2074 : Ring k\ninst\u271d\u00b3 : AddCommGroup V\ninst\u271d\u00b2 : Module k V\ninst\u271d\u00b9 : AffineSpace V P\ninst\u271d : Nontrivial k\np : \u03b9 \u2192 ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/List/Basic.lean | List.get_pmap | [
3101,
1
] | [
3111,
16
] | [{"tactic": "induction' l with hd tl hl generalizing n", "annotated_tactic": ["induction' l with hd tl hl generalizing n", []], "state_before": "\u03b9 : Type u_1\n\u03b1 : Type u\n\u03b2 : Type v\n\u03b3 : Type w\nl\u2081 l\u2082 : List \u03b1\np : \u03b1 \u2192 Prop\nf : (a : \u03b1) \u2192 p a \u2192 \u03b2\nl : Lis... |
https://github.com/leanprover/std4 | 869c615eb10130c0637a7bc038e2b80253559913 | lake-packages/std/Std/Data/Fin/Lemmas.lean | Fin.size_pos' | [
23,
1
] | [
23,
68
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/SetTheory/Ordinal/Basic.lean | Ordinal.le_one_iff | [
1086,
1
] | [
1087,
41
] | [{"tactic": "simpa using @le_succ_bot_iff _ _ _ a _", "annotated_tactic": ["simpa using @<a>le_succ_bot_iff</a> _ _ _ a _", [{"full_name": "Order.le_succ_bot_iff", "def_path": "Mathlib/Order/SuccPred/Basic.lean", "def_pos": [548, 9], "def_end_pos": [548, 24]}]], "state_before": "\u03b1 : Type u\n\u03b2 : Type u_1\n\u03... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/FieldTheory/Tower.lean | FiniteDimensional.right | [
114,
1
] | [
118,
34
] | [{"tactic": "rw [Submodule.restrictScalars_top, eq_top_iff, \u2190 hb, Submodule.span_le]", "annotated_tactic": ["rw [<a>Submodule.restrictScalars_top</a>, <a>eq_top_iff</a>, \u2190 hb, <a>Submodule.span_le</a>]", [{"full_name": "Submodule.restrictScalars_top", "def_path": "Mathlib/Algebra/Module/Submodule/Lattice.lean... |
https://github.com/leanprover/std4 | 869c615eb10130c0637a7bc038e2b80253559913 | lake-packages/std/Std/Data/Int/DivMod.lean | Int.mul_ediv_mul_of_pos | [
515,
9
] | [
537,
31
] | [{"tactic": "rw [Int.mul_neg, Int.ediv_neg, Int.ediv_neg]", "annotated_tactic": ["rw [<a>Int.mul_neg</a>, <a>Int.ediv_neg</a>, <a>Int.ediv_neg</a>]", [{"full_name": "Int.mul_neg", "def_path": "lake-packages/std/Std/Data/Int/Lemmas.lean", "def_pos": [471, 33], "def_end_pos": [471, 40]}, {"full_name": "Int.ediv_neg", "de... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/GroupTheory/Subgroup/Basic.lean | MonoidHom.subgroupMap_surjective | [
3514,
1
] | [
3516,
42
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/PNat/Defs.lean | PNat.coe_toPNat' | [
171,
1
] | [
172,
25
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Function/ConditionalExpectation/AEMeasurable.lean | MeasureTheory.lpMeasToLpTrimLie_symm_indicator | [
535,
1
] | [
545,
87
] | [{"tactic": "ext1", "annotated_tactic": ["ext1", []], "state_before": "\u03b1 : Type u_1\nE' : Type u_2\nF : Type u_3\nF' : Type u_4\n\ud835\udd5c : Type u_5\np : \u211d\u22650\u221e\ninst\u271d\u00b9\u00b9 : IsROrC \ud835\udd5c\ninst\u271d\u00b9\u2070 : NormedAddCommGroup E'\ninst\u271d\u2079 : InnerProductSpace \ud83... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Bounds/Basic.lean | bddAbove_def | [
93,
1
] | [
94,
10
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Num/Lemmas.lean | Num.ppred_to_nat | [
844,
1
] | [
849,
8
] | [{"tactic": "rw [ppred, Option.map_some, Nat.ppred_eq_some.2]", "annotated_tactic": ["rw [<a>ppred</a>, <a>Option.map_some</a>, <a>Nat.ppred_eq_some</a>.2]", [{"full_name": "Num.ppred", "def_path": "Mathlib/Data/Num/Basic.lean", "def_pos": [445, 5], "def_end_pos": [445, 10]}, {"full_name": "Option.map_some", "def_path"... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Finset/Lattice.lean | Finset.inf'_map | [
1043,
1
] | [
1045,
31
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Order/Interval.lean | NonemptyInterval.snd_inv | [
491,
1
] | [
492,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Group/Integral.lean | MeasureTheory.integral_div_left_eq_self | [
152,
1
] | [
156,
84
] | [{"tactic": "simp_rw [div_eq_mul_inv]", "annotated_tactic": ["simp_rw [<a>div_eq_mul_inv</a>]", [{"full_name": "div_eq_mul_inv", "def_path": "Mathlib/Algebra/Group/Defs.lean", "def_pos": [977, 9], "def_end_pos": [977, 23]}]], "state_before": "\ud835\udd5c : Type u_1\nM : Type u_2\n\u03b1 : Type u_3\nG : Type u_4\nE : T... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/GroupTheory/Coset.lean | QuotientGroup.exists_mk | [
506,
1
] | [
507,
23
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/PFilter.lean | Order.PFilter.directed | [
90,
1
] | [
90,
69
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Pointwise/Interval.lean | Set.preimage_neg_Icc | [
150,
1
] | [
150,
93
] | [{"tactic": "simp [\u2190 Ici_inter_Iic, inter_comm]", "annotated_tactic": ["simp [\u2190 <a>Ici_inter_Iic</a>, <a>inter_comm</a>]", [{"full_name": "Set.Ici_inter_Iic", "def_path": "Mathlib/Data/Set/Intervals/Basic.lean", "def_pos": [618, 9], "def_end_pos": [618, 22]}, {"full_name": "Set.inter_comm", "def_path": "Mathl... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Group/UniqueProds.lean | UniqueMul.mulHom_map_iff | [
181,
1
] | [
183,
80
] | [{"tactic": "classical simp_rw [\u2190 mulHom_image_iff \u27e8f, mul\u27e9 f.2, Finset.map_eq_image]; rfl", "annotated_tactic": ["classical simp_rw [\u2190 <a>mulHom_image_iff</a> \u27e8f, mul\u27e9 f.2, <a>Finset.map_eq_image</a>]; rfl", [{"full_name": "UniqueMul.mulHom_image_iff", "def_path": "Mathlib/Algebra/Group/U... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Analysis/Filter.lean | Filter.Realizer.principal_F | [
169,
1
] | [
170,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Combinatorics/SimpleGraph/Connectivity.lean | SimpleGraph.Walk.toSubgraph_append | [
2346,
1
] | [
2347,
100
] | [{"tactic": "induction p <;> simp [*, sup_assoc]", "annotated_tactic": ["induction p <;> simp [*, <a>sup_assoc</a>]", [{"full_name": "sup_assoc", "def_path": "Mathlib/Order/Lattice.lean", "def_pos": [256, 9], "def_end_pos": [256, 18]}]], "state_before": "V : Type u\nV' : Type v\nV'' : Type w\nG : SimpleGraph V\nG' : Si... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/MetricSpace/Basic.lean | Metric.continuous_iff' | [
1102,
1
] | [
1104,
75
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Basic.lean | Set.singleton_inter_eq_empty | [
1362,
1
] | [
1363,
68
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Normed/Group/Seminorm.lean | GroupSeminorm.comp_apply | [
339,
1
] | [
340,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/Matrix/Adjugate.lean | Matrix.cramer_subsingleton_apply | [
142,
1
] | [
143,
99
] | [{"tactic": "rw [cramer_apply, det_eq_elem_of_subsingleton _ i, updateColumn_self]", "annotated_tactic": ["rw [<a>cramer_apply</a>, <a>det_eq_elem_of_subsingleton</a> _ i, <a>updateColumn_self</a>]", [{"full_name": "Matrix.cramer_apply", "def_path": "Mathlib/LinearAlgebra/Matrix/Adjugate.lean", "def_pos": [99, 9], "def... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/SpecialFunctions/Bernstein.lean | bernstein.probability | [
108,
1
] | [
112,
13
] | [{"tactic": "have := bernsteinPolynomial.sum \u211d n", "annotated_tactic": ["have := <a>bernsteinPolynomial.sum</a> \u211d n", [{"full_name": "bernsteinPolynomial.sum", "def_path": "Mathlib/RingTheory/Polynomial/Bernstein.lean", "def_pos": [290, 9], "def_end_pos": [290, 12]}]], "state_before": "n : \u2115\nx : \u2191I... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/MetricSpace/Isometry.lean | Isometry.mapsTo_closedBall | [
262,
1
] | [
264,
34
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Integral/SetToL1.lean | MeasureTheory.FinMeasAdditive.add | [
106,
1
] | [
110,
7
] | [{"tactic": "intro s t hs ht h\u03bcs h\u03bct hst", "annotated_tactic": ["intro s t hs ht h\u03bcs h\u03bct hst", []], "state_before": "\u03b1 : Type u_1\nE : Type u_2\nF : Type u_3\nF' : Type u_4\nG : Type u_5\n\ud835\udd5c : Type u_6\np : \u211d\u22650\u221e\ninst\u271d\u2077 : NormedAddCommGroup E\ninst\u271d\u2076... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/SetTheory/Game/PGame.lean | SetTheory.PGame.lt_neg_iff | [
1401,
1
] | [
1401,
99
] | [{"tactic": "rw [\u2190 neg_neg x, neg_lt_neg_iff, neg_neg]", "annotated_tactic": ["rw [\u2190 <a>neg_neg</a> x, <a>neg_lt_neg_iff</a>, <a>neg_neg</a>]", [{"full_name": "neg_neg", "def_path": "Mathlib/Algebra/Group/Defs.lean", "def_pos": [799, 3], "def_end_pos": [799, 14]}, {"full_name": "SetTheory.PGame.neg_lt_neg_iff... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/IntegralClosure.lean | IsIntegralClosure.mk'_zero | [
895,
1
] | [
896,
73
] | [{"tactic": "rw [algebraMap_mk', RingHom.map_zero]", "annotated_tactic": ["rw [<a>algebraMap_mk'</a>, <a>RingHom.map_zero</a>]", [{"full_name": "IsIntegralClosure.algebraMap_mk'", "def_path": "Mathlib/RingTheory/IntegralClosure.lean", "def_pos": [885, 9], "def_end_pos": [885, 23]}, {"full_name": "RingHom.map_zero", "de... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Algebra/Equiv.lean | AlgEquiv.autCongr_trans | [
735,
1
] | [
737,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Group/Integral.lean | MeasureTheory.Integrable.comp_inv | [
35,
1
] | [
37,
74
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/FieldTheory/Fixed.lean | linearIndependent_toLinearMap | [
314,
1
] | [
321,
17
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/UniformSpace/Cauchy.lean | cauchy_iff_exists_le_nhds | [
457,
1
] | [
459,
63
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Function/ConditionalExpectation/CondexpL1.lean | MeasureTheory.set_integral_condexpL1Clm | [
430,
1
] | [
462,
43
] | [{"tactic": "let S := spanningSets (\u03bc.trim hm)", "annotated_tactic": ["let S := <a>spanningSets</a> (\u03bc.trim hm)", [{"full_name": "MeasureTheory.spanningSets", "def_path": "Mathlib/MeasureTheory/Measure/MeasureSpace.lean", "def_pos": [3316, 5], "def_end_pos": [3316, 17]}]], "state_before": "\u03b1 : Type u_1\n... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/UpperLower/Basic.lean | upperClosure_eq_top_iff | [
1537,
1
] | [
1538,
61
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Adhesive.lean | CategoryTheory.IsPushout.isVanKampen_iff | [
71,
1
] | [
115,
44
] | [{"tactic": "constructor", "annotated_tactic": ["constructor", []], "state_before": "J : Type v'\ninst\u271d\u00b9 : Category.{u', v'} J\nC : Type u\ninst\u271d : Category.{v, u} C\nW X Y Z : C\nf : W \u27f6 X\ng : W \u27f6 Y\nh : X \u27f6 Z\ni : Y \u27f6 Z\nH : IsPushout f g h i\n\u22a2 IsVanKampen H \u2194 IsVanKampe... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/SpecialFunctions/Trigonometric/Inverse.lean | Real.continuous_arcsin | [
97,
1
] | [
98,
70
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Polynomial/Basic.lean | Polynomial.eta | [
98,
1
] | [
98,
81
] | [{"tactic": "cases f", "annotated_tactic": ["cases f", []], "state_before": "R : Type u\na b : R\nm n : \u2115\ninst\u271d : Semiring R\np q f : R[X]\n\u22a2 { toFinsupp := f.toFinsupp } = f", "state_after": "case ofFinsupp\nR : Type u\na b : R\nm n : \u2115\ninst\u271d : Semiring R\np q : R[X]\ntoFinsupp\u271d : R[\u2... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Complex/UpperHalfPlane/Basic.lean | UpperHalfPlane.subgroup_on_glpos_smul_apply | [
301,
1
] | [
303,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/GCDMonoid/Basic.lean | gcd_eq_zero_iff | [
389,
1
] | [
398,
26
] | [{"tactic": "let \u27e8ca, ha\u27e9 := gcd_dvd_left a b", "annotated_tactic": ["let \u27e8ca, ha\u27e9 := <a>gcd_dvd_left</a> a b", [{"full_name": "GCDMonoid.gcd_dvd_left", "def_path": "Mathlib/Algebra/GCDMonoid/Basic.lean", "def_pos": [278, 3], "def_end_pos": [278, 15]}]], "state_before": "\u03b1 : Type u_1\ninst\u271... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/AlgebraicTopology/DoldKan/Faces.lean | AlgebraicTopology.DoldKan.HigherFacesVanish.comp_Hσ_eq_zero | [
144,
1
] | [
169,
17
] | [{"tactic": "simp only [H\u03c3, Homotopy.nullHomotopicMap'_f (c_mk (n + 2) (n + 1) rfl) (c_mk (n + 1) n rfl)]", "annotated_tactic": ["simp only [<a>H\u03c3</a>, <a>Homotopy.nullHomotopicMap'_f</a> (<a>c_mk</a> (n + 2) (n + 1) <a>rfl</a>) (<a>c_mk</a> (n + 1) n <a>rfl</a>)]", [{"full_name": "AlgebraicTopology.DoldKan.H... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Order/Nonneg/Ring.lean | Nonneg.toNonneg_coe | [
361,
1
] | [
362,
25
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Basic.lean | Set.Subset.antisymm | [
370,
1
] | [
371,
34
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Sum/Basic.lean | Sum.getRight_eq_getRight? | [
65,
1
] | [
66,
76
] | [{"tactic": "simp [\u2190 getRight?_eq_some_iff]", "annotated_tactic": ["simp [\u2190 <a>getRight?_eq_some_iff</a>]", [{"full_name": "Sum.getRight?_eq_some_iff", "def_path": "lake-packages/std/Std/Data/Sum/Lemmas.lean", "def_pos": [68, 17], "def_end_pos": [68, 38]}]], "state_before": "\u03b1 : Type u\n\u03b1' : Type w\... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/SModEq.lean | SModEq.rfl | [
68,
11
] | [
69,
16
] | [] |
https://github.com/leanprover/std4 | 869c615eb10130c0637a7bc038e2b80253559913 | lake-packages/std/Std/Data/Nat/Lemmas.lean | Nat.lt_trichotomy | [
174,
11
] | [
178,
35
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Shift/Basic.lean | CategoryTheory.shiftFunctor_inv | [
448,
1
] | [
449,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/NormedSpace/FiniteDimension.lean | isOpen_setOf_linearIndependent | [
257,
1
] | [
259,
62
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/Matrix/Block.lean | Matrix.equiv_block_det | [
176,
1
] | [
178,
86
] | [{"tactic": "convert Matrix.det_reindex_self (Equiv.subtypeEquivRight e) (toSquareBlockProp M q)", "annotated_tactic": ["convert <a>Matrix.det_reindex_self</a> (<a>Equiv.subtypeEquivRight</a> e) (<a>toSquareBlockProp</a> M q)", [{"full_name": "Matrix.det_reindex_self", "def_path": "Mathlib/LinearAlgebra/Matrix/Determin... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/TypeVec.lean | TypeVec.casesCons_append1 | [
320,
11
] | [
323,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Sequences.lean | IsSeqCompact.subseq_of_frequently_in | [
265,
1
] | [
270,
34
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Decomposition/RadonNikodym.lean | MeasureTheory.Measure.withDensity_rnDeriv_eq | [
46,
1
] | [
59,
18
] | [{"tactic": "obtain \u27e8_, \u27e8E, hE\u2081, hE\u2082, hE\u2083\u27e9, hadd\u27e9 := haveLebesgueDecomposition_spec \u03bc \u03bd", "annotated_tactic": ["obtain \u27e8_, \u27e8E, hE\u2081, hE\u2082, hE\u2083\u27e9, hadd\u27e9 := <a>haveLebesgueDecomposition_spec</a> \u03bc \u03bd", [{"full_name": "MeasureTheory.Meas... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/UniformSpace/Completion.lean | UniformSpace.Completion.ext | [
516,
1
] | [
518,
22
] | [] |
https://github.com/leanprover/std4 | 869c615eb10130c0637a7bc038e2b80253559913 | lake-packages/std/Std/Data/List/Lemmas.lean | List.drop_append_eq_append_drop | [
823,
1
] | [
826,
23
] | [{"tactic": "induction l\u2081 generalizing n", "annotated_tactic": ["induction l\u2081 generalizing n", []], "state_before": "\u03b1 : Type u_1\nn : Nat\nl\u2081 l\u2082 : List \u03b1\n\u22a2 drop n (l\u2081 ++ l\u2082) = drop n l\u2081 ++ drop (n - length l\u2081) l\u2082", "state_after": "case nil\n\u03b1 : Type u_1... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Probability/Martingale/Basic.lean | MeasureTheory.Supermartingale.stronglyMeasurable | [
162,
11
] | [
164,
15
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Star/NonUnitalSubalgebra.lean | NonUnitalStarAlgebra.adjoin_toNonUnitalSubalgebra | [
632,
1
] | [
634,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/Matrix/Symmetric.lean | Matrix.isSymm_transpose_mul_self | [
60,
1
] | [
62,
20
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Calculus/Deriv/Add.lean | HasDerivAtFilter.add | [
52,
8
] | [
54,
43
] | [{"tactic": "simpa using (hf.add hg).hasDerivAtFilter", "annotated_tactic": ["simpa using (hf.add hg).<a>hasDerivAtFilter</a>", [{"full_name": "HasFDerivAtFilter.hasDerivAtFilter", "def_path": "Mathlib/Analysis/Calculus/Deriv/Basic.lean", "def_pos": [167, 9], "def_end_pos": [167, 43]}]], "state_before": "\ud835\udd5c :... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Measure/MeasureSpaceDef.lean | MeasureTheory.measurableSet_toMeasurable | [
645,
1
] | [
649,
60
] | [{"tactic": "rw [toMeasurable_def]", "annotated_tactic": ["rw [<a>toMeasurable_def</a>]", [{"full_name": "MeasureTheory.toMeasurable_def", "def_path": "Mathlib/MeasureTheory/Measure/MeasureSpaceDef.lean", "def_pos": [1, 1], "def_end_pos": [1, 1]}]], "state_before": "\u03b1 : Type u_1\n\u03b2 : Type u_2\n\u03b3 : Type u... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/NormedSpace/Star/Multiplier.lean | DoubleCentralizer.zero_fst | [
261,
1
] | [
262,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Logic/Encodable/Basic.lean | Encodable.decode₂_eq_some | [
201,
1
] | [
202,
14
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Function.lean | Set.surjOn_empty | [
784,
1
] | [
785,
17
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/GroupTheory/SpecificGroups/Quaternion.lean | QuaternionGroup.orderOf_xa | [
212,
1
] | [
223,
13
] | [{"tactic": "change _ = 2 ^ 2", "annotated_tactic": ["change _ = 2 ^ 2", []], "state_before": "n : \u2115\ninst\u271d : NeZero n\ni : ZMod (2 * n)\n\u22a2 orderOf (xa i) = 4", "state_after": "n : \u2115\ninst\u271d : NeZero n\ni : ZMod (2 * n)\n\u22a2 orderOf (xa i) = 2 ^ 2"}, {"tactic": "haveI : Fact (Nat.Prime 2) := ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Probability/Kernel/Basic.lean | ProbabilityTheory.kernel.coe_finset_sum | [
99,
1
] | [
100,
30
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/UniformSpace/Basic.lean | comap_uniformity_mulOpposite | [
1535,
1
] | [
1537,
70
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/AlgebraicGeometry/AffineScheme.lean | AlgebraicGeometry.IsAffineOpen.isLocalization_stalk' | [
663,
1
] | [
684,
42
] | [{"tactic": "apply\n (@IsLocalization.isLocalization_iff_of_ringEquiv (R := X.presheaf.obj <| op U)\n (S := X.presheaf.stalk (hU.fromSpec.1.base y)) _ y.asIdeal.primeCompl _\n (TopCat.Presheaf.algebra_section_stalk X.presheaf \u27e8hU.fromSpec.1.base y, hy\u27e9) _ _\n (asIso <| PresheafedSpace.stalkMap hU.fr... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/GroupTheory/Submonoid/Pointwise.lean | Submonoid.inv_sup | [
182,
1
] | [
183,
57
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Finset/Image.lean | Finset.map_empty | [
61,
1
] | [
62,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/AffineSpace/AffineMap.lean | Convex.combo_affine_apply | [
866,
1
] | [
869,
30
] | [{"tactic": "simp only [Convex.combo_eq_smul_sub_add h, \u2190 vsub_eq_sub]", "annotated_tactic": ["simp only [<a>Convex.combo_eq_smul_sub_add</a> h, \u2190 <a>vsub_eq_sub</a>]", [{"full_name": "Convex.combo_eq_smul_sub_add", "def_path": "Mathlib/Algebra/Module/Basic.lean", "def_pos": [255, 9], "def_end_pos": [255, 37]... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/SetTheory/Game/PGame.lean | SetTheory.PGame.moveRight_mk | [
161,
1
] | [
162,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Normed/Group/Basic.lean | norm_div_le_of_le | [
560,
1
] | [
561,
48
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/SetTheory/Cardinal/Divisibility.lean | Cardinal.is_prime_iff | [
136,
1
] | [
140,
22
] | [{"tactic": "cases' le_or_lt \u2135\u2080 a with h h", "annotated_tactic": ["cases' <a>le_or_lt</a> \u2135\u2080 a with h h", [{"full_name": "le_or_lt", "def_path": "Mathlib/Init/Order/Defs.lean", "def_pos": [340, 9], "def_end_pos": [340, 17]}]], "state_before": "a\u271d b : Cardinal.{u}\nn m : \u2115\na : Cardinal.{u_... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/GradedAlgebra/Basic.lean | DirectSum.decompose_one | [
81,
1
] | [
82,
33
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/Basis/VectorSpace.lean | LinearMap.exists_extend | [
251,
1
] | [
254,
58
] | [{"tactic": "rw [LinearMap.comp_assoc, hg, f.comp_id]", "annotated_tactic": ["rw [<a>LinearMap.comp_assoc</a>, hg, f.comp_id]", [{"full_name": "LinearMap.comp_assoc", "def_path": "Mathlib/Algebra/Module/LinearMap.lean", "def_pos": [568, 9], "def_end_pos": [568, 19]}]], "state_before": "\u03b9 : Type u_1\n\u03b9' : Type... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Finset/Preimage.lean | Finset.sigma_image_fst_preimage_mk | [
133,
1
] | [
136,
48
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Category/GroupCat/EpiMono.lean | CommGroupCat.epi_iff_surjective | [
450,
1
] | [
451,
64
] | [{"tactic": "rw [epi_iff_range_eq_top, MonoidHom.range_top_iff_surjective]", "annotated_tactic": ["rw [<a>epi_iff_range_eq_top</a>, <a>MonoidHom.range_top_iff_surjective</a>]", [{"full_name": "CommGroupCat.epi_iff_range_eq_top", "def_path": "Mathlib/Algebra/Category/GroupCat/EpiMono.lean", "def_pos": [443, 9], "def_end... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Deprecated/Subgroup.lean | IsSubgroup.of_div | [
83,
1
] | [
94,
14
] | [{"tactic": "have : 1 * a\u207b\u00b9 \u2208 s := div_mem one_mem ha", "annotated_tactic": ["have : 1 * a\u207b\u00b9 \u2208 s := div_mem one_mem ha", []], "state_before": "G : Type u_1\nH : Type u_2\nA : Type u_3\na\u271d a\u2081 a\u2082 b c : G\ninst\u271d\u00b9 : Group G\ninst\u271d : AddGroup A\ns : Set G\none_mem ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Intervals/Pi.lean | Set.image_update_Ioc_left | [
168,
1
] | [
169,
100
] | [{"tactic": "simpa using image_update_Ioc f i a (f i)", "annotated_tactic": ["simpa using <a>image_update_Ioc</a> f i a (f i)", [{"full_name": "Set.image_update_Ioc", "def_path": "Mathlib/Data/Set/Intervals/Pi.lean", "def_pos": [148, 9], "def_end_pos": [148, 25]}]], "state_before": "\u03b9 : Type u_1\n\u03b1 : \u03b9 \... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RepresentationTheory/Rep.lean | Rep.linearization_ε_inv_hom_apply | [
236,
1
] | [
238,
49
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Seq/Seq.lean | Stream'.Seq.destruct_nil | [
235,
1
] | [
236,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/List/Perm.lean | List.perm_inv_core | [
590,
1
] | [
635,
60
] | [{"tactic": "generalize e\u2081 : l\u2081 ++ a :: r\u2081 = s\u2081", "annotated_tactic": ["generalize e\u2081 : l\u2081 ++ a :: r\u2081 = s\u2081", []], "state_before": "\u03b1 : Type uu\n\u03b2 : Type vv\nl\u2081\u271d l\u2082\u271d : List \u03b1\na : \u03b1\nl\u2081 l\u2082 r\u2081 r\u2082 : List \u03b1\n\u22a2 l\u2... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Computability/Primrec.lean | Primrec.vector_head | [
1298,
1
] | [
1299,
84
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Intervals/ProjIcc.lean | Set.projIci_surjOn | [
137,
1
] | [
137,
95
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/MetricSpace/Lipschitz.lean | continuousOn_prod_of_continuousOn_lipschitzOnWith | [
731,
1
] | [
736,
40
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Complex/CauchyIntegral.lean | Complex.two_pi_I_inv_smul_circleIntegral_sub_inv_smul_of_differentiable_on_off_countable | [
463,
1
] | [
494,
56
] | [{"tactic": "have hR : 0 < R := dist_nonneg.trans_lt hw", "annotated_tactic": ["have hR : 0 < R := dist_nonneg.trans_lt hw", []], "state_before": "E : Type u\ninst\u271d\u00b2 : NormedAddCommGroup E\ninst\u271d\u00b9 : NormedSpace \u2102 E\ninst\u271d : CompleteSpace E\nR : \u211d\nc w : \u2102\nf : \u2102 \u2192 E\ns ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Calculus/FDeriv/Add.lean | HasFDerivWithinAt.add_const | [
184,
8
] | [
186,
17
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/Subring/Basic.lean | Subring.centralizer_univ | [
881,
1
] | [
882,
40
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/Matrix/Charpoly/LinearMap.lean | Matrix.Represents.eq | [
149,
1
] | [
151,
56
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Monoidal/Category.lean | CategoryTheory.MonoidalCategory.associator_inv_conjugation | [
372,
1
] | [
374,
47
] | [{"tactic": "rw [associator_naturality, inv_hom_id_assoc]", "annotated_tactic": ["rw [<a>associator_naturality</a>, <a>inv_hom_id_assoc</a>]", [{"full_name": "CategoryTheory.MonoidalCategory.associator_naturality", "def_path": "Mathlib/CategoryTheory/Monoidal/Category.lean", "def_pos": [108, 3], "def_end_pos": [108, 24... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/SetTheory/Ordinal/FixedPoint.lean | Ordinal.IsNormal.apply_le_nfp | [
487,
1
] | [
488,
81
] | [{"tactic": "simpa only [H.nfp_fp] using H.le_iff.2 h", "annotated_tactic": ["simpa only [H.nfp_fp] using H.le_iff.2 h", []], "state_before": "f\u271d : Ordinal.{u} \u2192 Ordinal.{u}\nf : Ordinal.{u_1} \u2192 Ordinal.{u_1}\nH : IsNormal f\na b : Ordinal.{u_1}\nh : b \u2264 nfp f a\n\u22a2 f b \u2264 nfp f a", "state_a... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Combinatorics/Composition.lean | Composition.coe_invEmbedding | [
366,
1
] | [
367,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/AlgebraicGeometry/ProjectiveSpectrum/Topology.lean | ProjectiveSpectrum.zeroLocus_anti_mono_ideal | [
181,
1
] | [
183,
28
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/MvPolynomial/Expand.lean | MvPolynomial.expand_X | [
44,
1
] | [
45,
20
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/InnerProductSpace/Projection.lean | norm_eq_iInf_iff_inner_eq_zero | [
352,
1
] | [
374,
61
] | [{"tactic": "letI : InnerProductSpace \u211d E := InnerProductSpace.isROrCToReal \ud835\udd5c E", "annotated_tactic": ["letI : <a>InnerProductSpace</a> \u211d E := <a>InnerProductSpace.isROrCToReal</a> \ud835\udd5c E", [{"full_name": "InnerProductSpace", "def_path": "Mathlib/Analysis/InnerProductSpace/Basic.lean", "def... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Deprecated/Submonoid.lean | Monoid.closure_mono | [
327,
1
] | [
328,
78
] | [] |
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