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/Tactic/NormNum/Basic.lean | Mathlib.Meta.NormNum.isRat_add | [
157,
1
] | [
175,
73
] | [{"tactic": "rintro rfl \u27e8_, rfl\u27e9 \u27e8_, rfl\u27e9 (h\u2081 : na * db + nb * da = k * nc) (h\u2082 : da * db = k * dc)", "annotated_tactic": ["rintro rfl \u27e8_, rfl\u27e9 \u27e8_, rfl\u27e9 (h\u2081 : na * db + nb * da = k * nc) (h\u2082 : da * db = k * dc)", []], "state_before": "\u03b1 : Type u_1\ninst\u... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/SupIndep.lean | Finset.supIndep_iff_pairwiseDisjoint | [
201,
1
] | [
203,
94
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/SpecialFunctions/Trigonometric/Complex.lean | Real.mul_le_sin | [
245,
1
] | [
249,
59
] | [{"tactic": "rw [\u2190 inv_div]", "annotated_tactic": ["rw [\u2190 <a>inv_div</a>]", [{"full_name": "inv_div", "def_path": "Mathlib/Algebra/Group/Basic.lean", "def_pos": [401, 9], "def_end_pos": [401, 16]}]], "state_before": "x : \u211d\nhx : 0 \u2264 x\nhx' : x \u2264 \u03c0 / 2\n\u22a2 2 / \u03c0 * x \u2264 sin x", ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/InnerProductSpace/Symmetric.lean | LinearMap.IsSymmetric.continuous | [
101,
1
] | [
114,
23
] | [{"tactic": "refine' T.continuous_of_seq_closed_graph fun u x y hu hTu => _", "annotated_tactic": ["refine' T.continuous_of_seq_closed_graph fun u x y hu hTu => _", []], "state_before": "\ud835\udd5c : Type u_1\nE : Type u_2\nE' : Type u_3\nF : Type u_4\nG : Type u_5\ninst\u271d\u2079 : IsROrC \ud835\udd5c\ninst\u271d\... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/SpecialFunctions/Integrals.lean | integral_cos_sq | [
740,
1
] | [
741,
50
] | [{"tactic": "field_simp [integral_cos_pow, add_sub_assoc]", "annotated_tactic": ["field_simp [<a>integral_cos_pow</a>, <a>add_sub_assoc</a>]", [{"full_name": "integral_cos_pow", "def_path": "Mathlib/Analysis/SpecialFunctions/Integrals.lean", "def_pos": [728, 9], "def_end_pos": [728, 25]}, {"full_name": "add_sub_assoc",... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/BoxIntegral/Partition/Tagged.lean | BoxIntegral.TaggedPrepartition.distortion_filter_le | [
459,
1
] | [
460,
31
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/MetricSpace/Basic.lean | Metric.diam_eq_zero_of_unbounded | [
2760,
1
] | [
2761,
54
] | [{"tactic": "rw [diam, ediam_of_unbounded h, ENNReal.top_toReal]", "annotated_tactic": ["rw [<a>diam</a>, <a>ediam_of_unbounded</a> h, <a>ENNReal.top_toReal</a>]", [{"full_name": "Metric.diam", "def_path": "Mathlib/Topology/MetricSpace/Basic.lean", "def_pos": [2651, 19], "def_end_pos": [2651, 23]}, {"full_name": "Metri... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Quaternion.lean | Quaternion.rat_cast_imJ | [
1392,
1
] | [
1393,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Intervals/ProjIcc.lean | Set.IicExtend_of_le | [
237,
1
] | [
238,
33
] | [] |
https://github.com/leanprover/std4 | 869c615eb10130c0637a7bc038e2b80253559913 | lake-packages/std/Std/Data/List/Basic.lean | List.intercalate_eq_intercalateTR | [
245,
10
] | [
255,
27
] | [{"tactic": "funext \u03b1 sep l", "annotated_tactic": ["funext \u03b1 sep l", []], "state_before": "\u22a2 @intercalate = @intercalateTR", "state_after": "case h.h.h\n\u03b1 : Type u_1\nsep : List \u03b1\nl : List (List \u03b1)\n\u22a2 intercalate sep l = intercalateTR sep l"}, {"tactic": "simp [intercalate, intercala... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Order/Floor.lean | Int.ceil_add_ofNat | [
1229,
1
] | [
1230,
19
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Category/Profinite/Basic.lean | FintypeCat.discreteTopology | [
227,
1
] | [
228,
8
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Logic/Equiv/LocalEquiv.lean | LocalEquiv.image_source_inter_eq' | [
482,
1
] | [
483,
80
] | [{"tactic": "rw [inter_comm, e.leftInvOn.image_inter', image_source_eq_target, inter_comm]", "annotated_tactic": ["rw [<a>inter_comm</a>, e.leftInvOn.image_inter', <a>image_source_eq_target</a>, <a>inter_comm</a>]", [{"full_name": "Set.inter_comm", "def_path": "Mathlib/Data/Set/Basic.lean", "def_pos": [940, 9], "def_en... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Multiset/Basic.lean | Multiset.coe_add | [
622,
1
] | [
623,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/List/Basic.lean | List.filter_subset | [
3422,
1
] | [
3423,
28
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/BigOperators/Multiset/Basic.lean | Multiset.prod_map_le_prod | [
410,
1
] | [
411,
68
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Calculus/MeanValue.lean | Convex.image_sub_le_mul_sub_of_deriv_le | [
884,
1
] | [
891,
88
] | [{"tactic": "rw [deriv.neg, neg_le_neg_iff]", "annotated_tactic": ["rw [<a>deriv.neg</a>, <a>neg_le_neg_iff</a>]", [{"full_name": "deriv.neg", "def_path": "Mathlib/Analysis/Calculus/Deriv/Add.lean", "def_pos": [222, 9], "def_end_pos": [222, 18]}, {"full_name": "neg_le_neg_iff", "def_path": "Mathlib/Algebra/Order/Group/... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Order/Hom/Esakia.lean | EsakiaHom.cancel_right | [
352,
1
] | [
354,
77
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Algebra/Spectrum.lean | spectrum.isUnit_resolvent | [
175,
1
] | [
176,
27
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Maps.lean | IsOpenMap.of_sections | [
387,
1
] | [
394,
37
] | [{"tactic": "rw [map_map, hgf.comp_eq_id, map_id]", "annotated_tactic": ["rw [<a>map_map</a>, hgf.comp_eq_id, <a>map_id</a>]", [{"full_name": "Filter.map_map", "def_path": "Mathlib/Order/Filter/Basic.lean", "def_pos": [1901, 9], "def_end_pos": [1901, 16]}, {"full_name": "Filter.map_id", "def_path": "Mathlib/Order/Filte... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Geometry/Manifold/LocalInvariantProperties.lean | StructureGroupoid.LocalInvariantProp.liftPropAt_congr_iff_of_eventuallyEq | [
426,
1
] | [
428,
97
] | [{"tactic": "simp_rw [nhdsWithin_univ, h\u2081]", "annotated_tactic": ["simp_rw [<a>nhdsWithin_univ</a>, h\u2081]", [{"full_name": "nhdsWithin_univ", "def_path": "Mathlib/Topology/ContinuousOn.lean", "def_pos": [79, 9], "def_end_pos": [79, 24]}]], "state_before": "H : Type u_1\nM : Type u_2\nH' : Type u_3\nM' : Type u_... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Calculus/FDeriv/Add.lean | differentiableOn_const_sub_iff | [
647,
1
] | [
648,
97
] | [{"tactic": "simp [sub_eq_add_neg]", "annotated_tactic": ["simp [<a>sub_eq_add_neg</a>]", [{"full_name": "sub_eq_add_neg", "def_path": "Mathlib/Algebra/Group/Defs.lean", "def_pos": [975, 3], "def_end_pos": [975, 14]}]], "state_before": "\ud835\udd5c : Type u_1\ninst\u271d\u2078 : NontriviallyNormedField \ud835\udd5c\nE... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Measure/WithDensity.lean | MeasureTheory.withDensity_const | [
137,
1
] | [
139,
32
] | [{"tactic": "ext1 s hs", "annotated_tactic": ["ext1 s hs", []], "state_before": "\u03b1 : Type u_1\nm0 : MeasurableSpace \u03b1\n\u03bc : Measure \u03b1\nc : \u211d\u22650\u221e\n\u22a2 (withDensity \u03bc fun x => c) = c \u2022 \u03bc", "state_after": "case h\n\u03b1 : Type u_1\nm0 : MeasurableSpace \u03b1\n\u03bc : M... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/Valuation/Integers.lean | Valuation.Integers.le_iff_dvd | [
130,
1
] | [
131,
31
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Real/Hyperreal.lean | Hyperreal.IsSt.map | [
388,
1
] | [
391,
83
] | [{"tactic": "rcases ofSeq_surjective x with \u27e8g, rfl\u27e9", "annotated_tactic": ["rcases <a>ofSeq_surjective</a> x with \u27e8g, rfl\u27e9", [{"full_name": "Hyperreal.ofSeq_surjective", "def_path": "Mathlib/Data/Real/Hyperreal.lean", "def_pos": [150, 9], "def_end_pos": [150, 25]}]], "state_before": "x : \u211d*\nr... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/MvPolynomial/WeightedHomogeneous.lean | MvPolynomial.weightedTotalDegree'_zero | [
87,
1
] | [
88,
70
] | [{"tactic": "simp only [weightedTotalDegree', support_zero, Finset.sup_empty]", "annotated_tactic": ["simp only [<a>weightedTotalDegree'</a>, <a>support_zero</a>, <a>Finset.sup_empty</a>]", [{"full_name": "MvPolynomial.weightedTotalDegree'", "def_path": "Mathlib/RingTheory/MvPolynomial/WeightedHomogeneous.lean", "def_p... |
https://github.com/leanprover/std4 | 869c615eb10130c0637a7bc038e2b80253559913 | lake-packages/std/Std/Data/String/Lemmas.lean | String.Pos.Valid.mk | [
168,
1
] | [
168,
94
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Constructions.lean | closedEmbedding_inl | [
931,
1
] | [
932,
38
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Field/Basic.lean | one_div_mul_sub_mul_one_div_eq_one_div_add_one_div | [
178,
1
] | [
181,
47
] | [{"tactic": "rw [mul_sub_left_distrib (1 / a), one_div_mul_cancel ha, mul_sub_right_distrib, one_mul,\n mul_assoc, mul_one_div_cancel hb, mul_one]", "annotated_tactic": ["rw [<a>mul_sub_left_distrib</a> (1 / a), <a>one_div_mul_cancel</a> ha, <a>mul_sub_right_distrib</a>, <a>one_mul</a>,\n <a>mul_assoc</a>, <a>mul_o... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/Adjoin/Basic.lean | Algebra.self_mem_adjoin_singleton | [
293,
1
] | [
294,
56
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Computability/Encoding.lean | Computability.decode_encodePosNum | [
133,
1
] | [
139,
35
] | [{"tactic": "intro n", "annotated_tactic": ["intro n", []], "state_before": "\u22a2 \u2200 (n : PosNum), decodePosNum (encodePosNum n) = n", "state_after": "n : PosNum\n\u22a2 decodePosNum (encodePosNum n) = n"}, {"tactic": "induction' n with m hm m hm <;> unfold encodePosNum decodePosNum", "annotated_tactic": ["induct... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/GroupTheory/GroupAction/Basic.lean | MulAction.orbit_smul | [
234,
1
] | [
238,
51
] | [{"tactic": "rw [inv_smul_smul]", "annotated_tactic": ["rw [<a>inv_smul_smul</a>]", [{"full_name": "inv_smul_smul", "def_path": "Mathlib/GroupTheory/GroupAction/Group.lean", "def_pos": [36, 9], "def_end_pos": [36, 22]}]], "state_before": "G : Type u\n\u03b1 : Type v\ninst\u271d\u00b9 : Group G\ninst\u271d : MulAction G... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Basic.lean | Set.mem_of_mem_of_subset | [
246,
1
] | [
247,
7
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Int/ModEq.lean | Int.modEq_add_fac | [
282,
1
] | [
286,
39
] | [{"tactic": "rw [add_zero]", "annotated_tactic": ["rw [<a>add_zero</a>]", [{"full_name": "add_zero", "def_path": "Mathlib/Algebra/Group/Defs.lean", "def_pos": [469, 3], "def_end_pos": [469, 14]}]], "state_before": "m n\u271d a\u271d b\u271d c\u271d d a b n c : \u2124\nha : a \u2261 b [ZMOD n]\n\u22a2 b + 0 \u2261 b [ZM... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Geometry/Euclidean/Angle/Oriented/Rotation.lean | Orientation.oangle_rotation | [
281,
1
] | [
283,
64
] | [{"tactic": "by_cases hx : x = 0 <;> by_cases hy : y = 0 <;> simp [hx, hy]", "annotated_tactic": ["by_cases hx : x = 0 <;> by_cases hy : y = 0 <;> simp [hx, hy]", []], "state_before": "V : Type u_1\nV' : Type u_2\ninst\u271d\u2075 : NormedAddCommGroup V\ninst\u271d\u2074 : NormedAddCommGroup V'\ninst\u271d\u00b3 : Inne... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Ordmap/Ordset.lean | Ordnode.findMax'_dual | [
583,
1
] | [
584,
34
] | [{"tactic": "rw [\u2190 findMin'_dual, dual_dual]", "annotated_tactic": ["rw [\u2190 <a>findMin'_dual</a>, <a>dual_dual</a>]", [{"full_name": "Ordnode.findMin'_dual", "def_path": "Mathlib/Data/Ordmap/Ordset.lean", "def_pos": [578, 9], "def_end_pos": [578, 22]}, {"full_name": "Ordnode.dual_dual", "def_path": "Mathlib/Da... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/RelIso/Basic.lean | RelEmbedding.isLinearOrder | [
367,
11
] | [
368,
49
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Convex/Star.lean | starConvex_zero_iff | [
316,
1
] | [
323,
63
] | [{"tactic": "refine'\n forall_congr' fun x => forall_congr' fun _ => \u27e8fun h a ha\u2080 ha\u2081 => _, fun h a b ha hb hab => _\u27e9", "annotated_tactic": ["refine'\n <a>forall_congr'</a> fun x => <a>forall_congr'</a> fun _ => \u27e8fun h a ha\u2080 ha\u2081 => _, fun h a b ha hb hab => _\u27e9", [{"full_name"... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Function/AEEqOfIntegral.lean | MeasureTheory.AEFinStronglyMeasurable.ae_nonneg_of_forall_set_integral_nonneg | [
326,
1
] | [
341,
59
] | [{"tactic": "let t := hf.sigmaFiniteSet", "annotated_tactic": ["let t := hf.sigmaFiniteSet", []], "state_before": "\u03b1 : Type u_1\nE : Type u_2\nm m0 : MeasurableSpace \u03b1\n\u03bc : Measure \u03b1\ns t : Set \u03b1\ninst\u271d\u00b2 : NormedAddCommGroup E\ninst\u271d\u00b9 : NormedSpace \u211d E\ninst\u271d : Com... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Connected/Basic.lean | ConnectedComponents.range_coe | [
1288,
1
] | [
1289,
26
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Fintype/Units.lean | Fintype.card_units_int | [
29,
1
] | [
29,
60
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/IsROrC/Lemmas.lean | IsROrC.conjCle_norm | [
83,
1
] | [
84,
61
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Ring/Aut.lean | RingAut.smul_def | [
120,
11
] | [
121,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Quaternion.lean | Quaternion.add_re | [
916,
9
] | [
916,
57
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/SpecialFunctions/Trigonometric/Angle.lean | Real.Angle.coe_nsmul | [
98,
1
] | [
99,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/List/Perm.lean | List.Perm.subset_congr_right | [
103,
1
] | [
104,
66
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Calculus/Conformal/InnerProduct.lean | conformalFactorAt_inner_eq_mul_inner | [
58,
1
] | [
61,
88
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Module/Submodule/Basic.lean | Submodule.sum_mem | [
252,
11
] | [
253,
10
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Real/Sqrt.lean | Real.le_sqrt' | [
307,
1
] | [
308,
43
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/Basic.lean | LinearMap.ker_le_ker_comp | [
1257,
1
] | [
1258,
88
] | [{"tactic": "rw [ker_comp]", "annotated_tactic": ["rw [<a>ker_comp</a>]", [{"full_name": "LinearMap.ker_comp", "def_path": "Mathlib/LinearAlgebra/Basic.lean", "def_pos": [1252, 9], "def_end_pos": [1252, 17]}]], "state_before": "R : Type u_1\nR\u2081 : Type u_2\nR\u2082 : Type u_3\nR\u2083 : Type u_4\nR\u2084 : Type u_5... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Complex/Basic.lean | Complex.dist_conj_conj | [
328,
1
] | [
329,
28
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Semicontinuous.lean | Continuous.upperSemicontinuous | [
820,
1
] | [
821,
49
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Filter/Lift.lean | Filter.lift'_lift_assoc | [
353,
1
] | [
355,
16
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Finset/NatAntidiagonal.lean | Finset.Nat.antidiagonal_congr | [
97,
1
] | [
101,
19
] | [{"tactic": "refine' \u27e8congr_arg Prod.fst, fun h \u21a6 Prod.ext h ((add_right_inj q.fst).mp _)\u27e9", "annotated_tactic": ["refine' \u27e8<a>congr_arg</a> <a>Prod.fst</a>, fun h \u21a6 <a>Prod.ext</a> h ((<a>add_right_inj</a> q.fst).<a>mp</a> _)\u27e9", [{"full_name": "congr_arg", "def_path": "Mathlib/Init/Logic.... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Probability/Process/Stopping.lean | MeasureTheory.isStoppingTime_of_measurableSet_eq | [
239,
1
] | [
244,
27
] | [{"tactic": "intro i", "annotated_tactic": ["intro i", []], "state_before": "\u03a9 : Type u_1\n\u03b2 : Type u_2\n\u03b9 : Type u_3\nm : MeasurableSpace \u03a9\ninst\u271d\u00b9 : Preorder \u03b9\ninst\u271d : Countable \u03b9\nf : Filtration \u03b9 m\n\u03c4 : \u03a9 \u2192 \u03b9\nh\u03c4 : \u2200 (i : \u03b9), Meas... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/Subsemiring/Basic.lean | Subsemiring.coe_zero | [
382,
1
] | [
383,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Real/ENNReal.lean | ENNReal.one_lt_inv | [
1570,
11
] | [
1570,
85
] | [{"tactic": "rw [lt_inv_iff_lt_inv, inv_one]", "annotated_tactic": ["rw [<a>lt_inv_iff_lt_inv</a>, <a>inv_one</a>]", [{"full_name": "ENNReal.lt_inv_iff_lt_inv", "def_path": "Mathlib/Data/Real/ENNReal.lean", "def_pos": [1536, 9], "def_end_pos": [1536, 26]}, {"full_name": "inv_one", "def_path": "Mathlib/Algebra/Group/Def... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Finsupp/Defs.lean | Finsupp.support_zero | [
177,
1
] | [
178,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/ConditionallyCompleteLattice/Basic.lean | OrderIso.map_ciInf_set | [
1528,
1
] | [
1530,
30
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/NormedSpace/LinearIsometry.lean | LinearIsometryEquiv.ediam_image | [
1023,
1
] | [
1024,
27
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/FieldTheory/IsSepClosed.lean | IsSepClosed.degree_eq_one_of_irreducible | [
145,
1
] | [
147,
81
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/Perfection.lean | PerfectionMap.mk' | [
250,
1
] | [
260,
28
] | [{"tactic": "simp [hfg, hx]", "annotated_tactic": ["simp [hfg, hx]", []], "state_before": "p : \u2115\ninst\u271d\u2075 : Fact (Nat.Prime p)\nR : Type u\u2081\ninst\u271d\u2074 : CommSemiring R\ninst\u271d\u00b3 : CharP R p\nP : Type u\u2083\ninst\u271d\u00b2 : CommSemiring P\ninst\u271d\u00b9 : CharP P p\ninst\u271d :... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Minimal.lean | maximals_swap | [
76,
1
] | [
77,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Convex/Combination.lean | Finset.centerMass_insert | [
60,
1
] | [
66,
54
] | [{"tactic": "simp only [centerMass, sum_insert ha, smul_add, (mul_smul _ _ _).symm, \u2190 div_eq_inv_mul]", "annotated_tactic": ["simp only [<a>centerMass</a>, <a>sum_insert</a> ha, <a>smul_add</a>, (<a>mul_smul</a> _ _ _).<a>symm</a>, \u2190 <a>div_eq_inv_mul</a>]", [{"full_name": "Finset.centerMass", "def_path": "Ma... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Polynomial/Laurent.lean | Polynomial.toLaurent_apply | [
107,
1
] | [
109,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/LocalHomeomorph.lean | LocalHomeomorph.IsImage.iff_preimage_eq | [
513,
1
] | [
514,
37
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/List/Basic.lean | List.length_le_length_insertNth | [
1622,
1
] | [
1627,
41
] | [{"tactic": "cases' le_or_lt n l.length with hn hn", "annotated_tactic": ["cases' <a>le_or_lt</a> n l.length with hn hn", [{"full_name": "le_or_lt", "def_path": "Mathlib/Init/Order/Defs.lean", "def_pos": [340, 9], "def_end_pos": [340, 17]}]], "state_before": "\u03b9 : Type u_1\n\u03b1 : Type u\n\u03b2 : Type v\n\u03b3 ... |
https://github.com/leanprover/std4 | 869c615eb10130c0637a7bc038e2b80253559913 | lake-packages/std/Std/Data/Int/Lemmas.lean | Int.neg_neg | [
82,
19
] | [
85,
18
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Matrix.lean | Matrix.nnnorm_transpose | [
119,
1
] | [
120,
24
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Finite.lean | Multiset.finite_toSet | [
559,
1
] | [
560,
79
] | [{"tactic": "classical simpa only [\u2190 Multiset.mem_toFinset] using s.toFinset.finite_toSet", "annotated_tactic": ["classical simpa only [\u2190 <a>Multiset.mem_toFinset</a>] using s.toFinset.finite_toSet", [{"full_name": "Multiset.mem_toFinset", "def_path": "Mathlib/Data/Finset/Basic.lean", "def_pos": [3200, 9], "d... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/TensorProduct/Tower.lean | TensorProduct.AlgebraTensorModule.rid_tmul | [
314,
1
] | [
314,
89
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Tropical/Basic.lean | Tropical.tropEquiv_coe_fn | [
123,
1
] | [
124,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/DedekindDomain/Ideal.lean | Ideal.pow_lt_self | [
731,
1
] | [
735,
15
] | [{"tactic": "convert I.strictAnti_pow hI0 hI1 he", "annotated_tactic": ["convert I.strictAnti_pow hI0 hI1 he", []], "state_before": "R : Type u_1\nA : Type u_2\nK : Type u_3\ninst\u271d\u2076 : CommRing R\ninst\u271d\u2075 : CommRing A\ninst\u271d\u2074 : Field K\ninst\u271d\u00b3 : IsDomain A\ninst\u271d\u00b2 : IsDed... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Basic.lean | Set.set_compr_eq_eq_singleton | [
1337,
1
] | [
1338,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/SetTheory/Ordinal/Arithmetic.lean | Ordinal.lift_nat_cast | [
2373,
1
] | [
2375,
39
] | [{"tactic": "simp", "annotated_tactic": ["simp", []], "state_before": "\u22a2 lift.{u, v} \u21910 = \u21910", "state_after": "no goals"}, {"tactic": "simp [lift_nat_cast n]", "annotated_tactic": ["simp [lift_nat_cast n]", []], "state_before": "n : \u2115\n\u22a2 lift.{u, v} \u2191(n + 1) = \u2191(n + 1)", "state_after"... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Real/ENatENNReal.lean | ENat.toENNReal_ofNat | [
60,
1
] | [
61,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Measure/MeasureSpace.lean | MeasureTheory.Measure.restrict_inter_add_diff | [
1712,
1
] | [
1714,
50
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Real/ENNReal.lean | ENNReal.sum_lt_sum_of_nonempty | [
1300,
1
] | [
1307,
64
] | [{"tactic": "induction' hs using Finset.Nonempty.cons_induction with a a s as _ IH", "annotated_tactic": ["induction' hs using <a>Finset.Nonempty.cons_induction</a> with a a s as _ IH", [{"full_name": "Finset.Nonempty.cons_induction", "def_path": "Mathlib/Data/Finset/Basic.lean", "def_pos": [1275, 9], "def_end_pos": [1... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Asymptotics/Asymptotics.lean | Asymptotics.IsBigOWith.right_le_add_of_lt_1 | [
2121,
1
] | [
2124,
33
] | [{"tactic": "rw [neg_sub, sub_neg_eq_add]", "annotated_tactic": ["rw [<a>neg_sub</a>, <a>sub_neg_eq_add</a>]", [{"full_name": "neg_sub", "def_path": "Mathlib/Algebra/Group/Basic.lean", "def_pos": [400, 3], "def_end_pos": [400, 14]}, {"full_name": "sub_neg_eq_add", "def_path": "Mathlib/Algebra/Group/Basic.lean", "def_po... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Order/ToIntervalMod.lean | toIcoMod_eq_sub | [
773,
1
] | [
774,
53
] | [{"tactic": "rw [toIcoMod_sub_eq_sub, zero_add, sub_add_cancel]", "annotated_tactic": ["rw [<a>toIcoMod_sub_eq_sub</a>, <a>zero_add</a>, <a>sub_add_cancel</a>]", [{"full_name": "toIcoMod_sub_eq_sub", "def_path": "Mathlib/Algebra/Order/ToIntervalMod.lean", "def_pos": [529, 9], "def_end_pos": [529, 28]}, {"full_name": "z... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Calculus/Deriv/Comp.lean | HasDerivWithinAt.scomp_hasDerivAt | [
82,
1
] | [
84,
99
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Finmap.lean | Finmap.insert_toFinmap | [
480,
1
] | [
482,
16
] | [{"tactic": "simp [insert]", "annotated_tactic": ["simp [<a>insert</a>]", [{"full_name": "Finmap.insert", "def_path": "Mathlib/Data/Finmap.lean", "def_pos": [474, 5], "def_end_pos": [474, 11]}]], "state_before": "\u03b1 : Type u\n\u03b2 : \u03b1 \u2192 Type v\ninst\u271d : DecidableEq \u03b1\na : \u03b1\nb : \u03b2 a\n... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/Valuation/ValuationSubring.lean | ValuationSubring.mem_unitGroup_iff | [
477,
1
] | [
477,
84
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Calculus/FDeriv/Comp.lean | DifferentiableAt.iterate | [
246,
11
] | [
248,
49
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Nat/PartENat.lean | PartENat.le_of_lt_add_one | [
480,
1
] | [
485,
53
] | [{"tactic": "induction' y using PartENat.casesOn with n", "annotated_tactic": ["induction' y using <a>PartENat.casesOn</a> with n", [{"full_name": "PartENat.casesOn", "def_path": "Mathlib/Data/Nat/PartENat.lean", "def_pos": [148, 19], "def_end_pos": [148, 26]}]], "state_before": "x y : PartENat\nh : x < y + 1\n\u22a2 x... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/LocallyFinite.lean | locallyFinite_option | [
225,
1
] | [
229,
6
] | [{"tactic": "rw [\u2190 (Equiv.optionEquivSumPUnit.{_, 0} \u03b9).symm.locallyFinite_comp_iff, locallyFinite_sum]", "annotated_tactic": ["rw [\u2190 (<a>Equiv.optionEquivSumPUnit</a>.{_, 0} \u03b9).symm.locallyFinite_comp_iff, <a>locallyFinite_sum</a>]", [{"full_name": "Equiv.optionEquivSumPUnit", "def_path": "Mathlib/... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/OreLocalization/Basic.lean | OreLocalization.universalMulHom_commutes | [
420,
1
] | [
421,
51
] | [{"tactic": "simp [numeratorHom_apply, universalMulHom_apply]", "annotated_tactic": ["simp [<a>numeratorHom_apply</a>, <a>universalMulHom_apply</a>]", [{"full_name": "OreLocalization.numeratorHom_apply", "def_path": "Mathlib/RingTheory/OreLocalization/Basic.lean", "def_pos": [368, 9], "def_end_pos": [368, 27]}, {"full_... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Hom/GroupAction.lean | MulActionHom.congr_fun | [
133,
11
] | [
134,
24
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Polynomial/Eval.lean | Polynomial.degree_map_le | [
859,
1
] | [
862,
21
] | [{"tactic": "refine (degree_le_iff_coeff_zero _ _).2 fun m hm => ?_", "annotated_tactic": ["refine (<a>degree_le_iff_coeff_zero</a> _ _).2 fun m hm => ?_", [{"full_name": "Polynomial.degree_le_iff_coeff_zero", "def_path": "Mathlib/Data/Polynomial/Degree/Definitions.lean", "def_pos": [1121, 9], "def_end_pos": [1121, 33]... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/GroupTheory/Subsemigroup/Center.lean | Set.mem_center_iff | [
44,
1
] | [
45,
10
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/Polynomial/Basic.lean | Polynomial.coeff_restriction | [
278,
1
] | [
285,
8
] | [{"tactic": "simp only [restriction, coeff_monomial, finset_sum_coeff, mem_support_iff, Finset.sum_ite_eq',\n Ne.def, ite_not]", "annotated_tactic": ["simp only [<a>restriction</a>, <a>coeff_monomial</a>, <a>finset_sum_coeff</a>, <a>mem_support_iff</a>, <a>Finset.sum_ite_eq'</a>,\n <a>Ne.def</a>, <a>ite_not</a>]", ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/SpecialFunctions/ExpDeriv.lean | DifferentiableOn.cexp | [
146,
1
] | [
147,
82
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/ContinuousOn.lean | ContinuousWithinAt.fst | [
1325,
1
] | [
1327,
45
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Decomposition/Lebesgue.lean | MeasureTheory.Measure.withDensity_rnDeriv_le | [
147,
1
] | [
153,
28
] | [{"tactic": "by_cases hl : HaveLebesgueDecomposition \u03bc \u03bd", "annotated_tactic": ["by_cases hl : <a>HaveLebesgueDecomposition</a> \u03bc \u03bd", [{"full_name": "MeasureTheory.Measure.HaveLebesgueDecomposition", "def_path": "Mathlib/MeasureTheory/Decomposition/Lebesgue.lean", "def_pos": [79, 7], "def_end_pos": ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Filter/CountableSeparatingOn.lean | Filter.exists_subsingleton_mem_of_forall_separating | [
177,
1
] | [
181,
16
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/SetTheory/Cardinal/Divisibility.lean | Cardinal.le_of_dvd | [
65,
1
] | [
68,
98
] | [{"tactic": "simpa only [hab, mul_one] using\n mul_le_mul_left' (one_le_iff_ne_zero.2 fun h : b = 0 => b0 (by rwa [h, mul_zero] at hab)) a", "annotated_tactic": ["simpa only [hab, <a>mul_one</a>] using\n <a>mul_le_mul_left'</a> (<a>one_le_iff_ne_zero</a>.2 fun h : b = 0 => b0 (by rwa [h, <a>mul_zero</a>] at hab))... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Finset/Image.lean | Function.Commute.finset_map | [
154,
1
] | [
156,
33
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Integral/IntervalIntegral.lean | IntervalIntegrable.comp_mul_left | [
291,
1
] | [
302,
67
] | [{"tactic": "rcases eq_or_ne c 0 with (hc | hc)", "annotated_tactic": ["rcases <a>eq_or_ne</a> c 0 with (hc | hc)", [{"full_name": "eq_or_ne", "def_path": "Mathlib/Logic/Basic.lean", "def_pos": [209, 9], "def_end_pos": [209, 17]}]], "state_before": "\u03b9 : Type u_1\n\ud835\udd5c : Type u_2\nE : Type u_3\nF : Type u_4... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/BooleanAlgebra.lean | eq_of_sdiff_eq_sdiff | [
393,
1
] | [
394,
61
] | [{"tactic": "rw [\u2190 sdiff_sdiff_eq_self hxz, h, sdiff_sdiff_eq_self hyz]", "annotated_tactic": ["rw [\u2190 <a>sdiff_sdiff_eq_self</a> hxz, h, <a>sdiff_sdiff_eq_self</a> hyz]", [{"full_name": "sdiff_sdiff_eq_self", "def_path": "Mathlib/Order/BooleanAlgebra.lean", "def_pos": [381, 9], "def_end_pos": [381, 28]}, {"fu... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Geometry/Manifold/VectorBundle/Tangent.lean | TangentBundle.coe_chartAt_fst | [
251,
1
] | [
252,
6
] | [] |
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