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/Data/Finset/Basic.lean | Finset.toList_eq_nil | [
3432,
1
] | [
3433,
34
] | [] |
https://github.com/leanprover/std4 | 869c615eb10130c0637a7bc038e2b80253559913 | lake-packages/std/Std/Logic.lean | forall_not_of_not_exists | [
424,
1
] | [
424,
82
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/Subring/Basic.lean | Subring.map_bot | [
1095,
1
] | [
1096,
25
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/Ideal/Norm.lean | Ideal.relNorm_eq_bot_iff | [
679,
1
] | [
680,
22
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Bicategory/Basic.lean | CategoryTheory.Bicategory.triangle_assoc_comp_right | [
324,
1
] | [
325,
97
] | [{"tactic": "rw [\u2190 triangle, inv_hom_id_assoc]", "annotated_tactic": ["rw [\u2190 <a>triangle</a>, <a>inv_hom_id_assoc</a>]", [{"full_name": "CategoryTheory.Bicategory.triangle", "def_path": "Mathlib/CategoryTheory/Bicategory/Basic.lean", "def_pos": [123, 3], "def_end_pos": [123, 11]}, {"full_name": "CategoryTheor... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Int/Order/Basic.lean | Int.natAbs_abs | [
68,
1
] | [
68,
81
] | [{"tactic": "rw [abs_eq_natAbs]", "annotated_tactic": ["rw [<a>abs_eq_natAbs</a>]", [{"full_name": "Int.abs_eq_natAbs", "def_path": "Mathlib/Data/Int/Order/Basic.lean", "def_pos": [56, 9], "def_end_pos": [56, 22]}]], "state_before": "a : \u2124\n\u22a2 natAbs |a| = natAbs a", "state_after": "a : \u2124\n\u22a2 natAbs \... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Algebra/InfiniteSum/Basic.lean | tsum_eq_single | [
520,
1
] | [
523,
48
] | [{"tactic": "rw [tsum_eq_sum (s := {b}), sum_singleton]", "annotated_tactic": ["rw [<a>tsum_eq_sum</a> (s := {b}), <a>sum_singleton</a>]", [{"full_name": "tsum_eq_sum", "def_path": "Mathlib/Topology/Algebra/InfiniteSum/Basic.lean", "def_pos": [476, 9], "def_end_pos": [476, 20]}, {"full_name": "Finset.sum_singleton", "d... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Probability/Process/Stopping.lean | MeasureTheory.condexp_min_stopping_time_ae_eq_restrict_le_const | [
1186,
1
] | [
1196,
63
] | [{"tactic": "have : SigmaFinite (\u03bc.trim h\u03c4.measurableSpace_le) :=\n haveI h_le : (h\u03c4.min_const i).measurableSpace \u2264 h\u03c4.measurableSpace := by\n rw [IsStoppingTime.measurableSpace_min_const]\n exact inf_le_left\n sigmaFiniteTrim_mono _ h_le", "annotated_tactic": ["have : <a>SigmaFinite</a... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/MetricSpace/Basic.lean | Metric.disjoint_cobounded_nhdsSet | [
2537,
1
] | [
2538,
39
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Finset/Pointwise.lean | Finset.smul_finset_neg | [
2172,
1
] | [
2173,
78
] | [{"tactic": "simp only [\u2190 image_smul, \u2190 image_neg, Function.comp, image_image, smul_neg]", "annotated_tactic": ["simp only [\u2190 <a>image_smul</a>, \u2190 <a>image_neg</a>, <a>Function.comp</a>, <a>image_image</a>, <a>smul_neg</a>]", [{"full_name": "Finset.image_smul", "def_path": "Mathlib/Data/Finset/Point... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Nat/Cast/Basic.lean | eq_natCast' | [
92,
1
] | [
94,
71
] | [{"tactic": "simp [map_zero f]", "annotated_tactic": ["simp [<a>map_zero</a> f]", [{"full_name": "map_zero", "def_path": "Mathlib/Algebra/Hom/Group/Defs.lean", "def_pos": [201, 3], "def_end_pos": [201, 14]}]], "state_before": "\u03b1 : Type u_1\n\u03b2 : Type u_2\nA : Type u_3\nB : Type u_4\nF : Type u_5\ninst\u271d\u0... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Algebra/Pi.lean | Pi.algebraMap_def | [
47,
1
] | [
49,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/GroupTheory/Coset.lean | Subgroup.card_dvd_of_le | [
825,
1
] | [
826,
66
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Preadditive/Basic.lean | CategoryTheory.Preadditive.hasCokernel_of_hasCoequalizer | [
443,
1
] | [
446,
92
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Algebra/Module/Basic.lean | ContinuousLinearEquiv.coe_toLinearEquiv | [
1868,
1
] | [
1869,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Logic/Equiv/List.lean | Denumerable.raise_chain | [
313,
1
] | [
315,
73
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Real/EReal.lean | EReal.sub_lt_sub_of_lt_of_le | [
877,
1
] | [
879,
79
] | [{"tactic": "simp [ht]", "annotated_tactic": ["simp [ht]", []], "state_before": "x y z t : EReal\nh : x < y\nh' : z \u2264 t\nhz : z \u2260 \u22a5\nht : t \u2260 \u22a4\n\u22a2 -t \u2260 \u22a5", "state_after": "no goals"}, {"tactic": "simp [hz]", "annotated_tactic": ["simp [hz]", []], "state_before": "x y z t : EReal\... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Asymptotics/Asymptotics.lean | Asymptotics.isBigO_bot | [
650,
1
] | [
651,
32
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Compactification/OnePoint.lean | OnePoint.range_coe_inter_infty | [
127,
1
] | [
128,
26
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/SetTheory/ZFC/Basic.lean | PSet.mem_wf | [
277,
1
] | [
278,
40
] | [] |
https://github.com/leanprover/std4 | 869c615eb10130c0637a7bc038e2b80253559913 | lake-packages/std/Std/Data/Int/Lemmas.lean | Int.mul_neg_one | [
527,
11
] | [
527,
90
] | [{"tactic": "rw [Int.mul_neg, Int.mul_one]", "annotated_tactic": ["rw [<a>Int.mul_neg</a>, <a>Int.mul_one</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.mul_one", "def_path": "lake-packages/std/Std/Data/I... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/SetTheory/Ordinal/Arithmetic.lean | Ordinal.lsub_eq_blsub | [
1771,
1
] | [
1773,
23
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Measure/Dirac.lean | MeasureTheory.Measure.sum_smul_dirac | [
87,
1
] | [
88,
94
] | [{"tactic": "simpa using (map_eq_sum \u03bc id measurable_id).symm", "annotated_tactic": ["simpa using (<a>map_eq_sum</a> \u03bc <a>id</a> <a>measurable_id</a>).<a>symm</a>", [{"full_name": "MeasureTheory.Measure.map_eq_sum", "def_path": "Mathlib/MeasureTheory/Measure/Dirac.lean", "def_pos": [77, 9], "def_end_pos": [77... |
https://github.com/leanprover/std4 | 869c615eb10130c0637a7bc038e2b80253559913 | lake-packages/std/Std/Data/List/Lemmas.lean | List.getLast?_concat | [
726,
9
] | [
727,
26
] | [{"tactic": "simp [getLast?_eq_get?]", "annotated_tactic": ["simp [<a>getLast?_eq_get?</a>]", [{"full_name": "List.getLast?_eq_get?", "def_path": "lake-packages/std/Std/Data/List/Lemmas.lean", "def_pos": [718, 9], "def_end_pos": [718, 25]}]], "state_before": "\u03b1 : Type u_1\na : \u03b1\nl : List \u03b1\n\u22a2 getLa... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Homotopy/Basic.lean | ContinuousMap.Homotopy.continuous | [
137,
11
] | [
138,
21
] | [] |
https://github.com/leanprover/std4 | 869c615eb10130c0637a7bc038e2b80253559913 | lake-packages/std/Std/Data/String/Lemmas.lean | String.Pos.zero_addString_eq | [
149,
1
] | [
150,
32
] | [{"tactic": "rw [\u2190 zero_addString_byteIdx]", "annotated_tactic": ["rw [\u2190 <a>zero_addString_byteIdx</a>]", [{"full_name": "String.Pos.zero_addString_byteIdx", "def_path": "lake-packages/std/Std/Data/String/Lemmas.lean", "def_pos": [143, 9], "def_end_pos": [143, 31]}]], "state_before": "s : String\n\u22a2 0 + s... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Bool/Basic.lean | Bool.right_le_or | [
368,
1
] | [
368,
62
] | [{"tactic": "decide", "annotated_tactic": ["decide", []], "state_before": "\u22a2 \u2200 (x y : Bool), y \u2264 (x || y)", "state_after": "no goals"}] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Hom/Basic.lean | OrderEmbedding.acc | [
660,
11
] | [
661,
22
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/Localization/Ideal.lean | IsLocalization.surjective_quotientMap_of_maximal_of_localization | [
173,
1
] | [
206,
57
] | [{"tactic": "intro s", "annotated_tactic": ["intro s", []], "state_before": "R : Type u_1\ninst\u271d\u2074 : CommRing R\nM : Submonoid R\nS : Type u_2\ninst\u271d\u00b3 : CommRing S\ninst\u271d\u00b2 : Algebra R S\ninst\u271d\u00b9 : IsLocalization M S\nI : Ideal S\ninst\u271d : Ideal.IsPrime I\nJ : Ideal R\nH : J \u2... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Integral/IntegralEqImproper.lean | MeasureTheory.AECover.integral_eq_of_tendsto | [
496,
1
] | [
499,
73
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Combinatorics/SimpleGraph/StronglyRegular.lean | SimpleGraph.IsSRGWith.card_neighborFinset_union_of_adj | [
110,
1
] | [
113,
39
] | [{"tactic": "rw [\u2190 h.of_adj v w ha]", "annotated_tactic": ["rw [\u2190 h.of_adj v w ha]", []], "state_before": "V : Type u\ninst\u271d\u00b2 : Fintype V\ninst\u271d\u00b9 : DecidableEq V\nG : SimpleGraph V\ninst\u271d : DecidableRel G.Adj\nn k \u2113 \u03bc : \u2115\nv w : V\nh : IsSRGWith G n k \u2113 \u03bc\nha ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/MetricSpace/Infsep.lean | Set.Nontrivial.le_infsep_iff | [
395,
1
] | [
398,
46
] | [{"tactic": "simp_rw [infsep, \u2190 ENNReal.ofReal_le_iff_le_toReal hs.einfsep_ne_top, le_einfsep_iff, edist_dist,\n ENNReal.ofReal_le_ofReal_iff dist_nonneg]", "annotated_tactic": ["simp_rw [<a>infsep</a>, \u2190 <a>ENNReal.ofReal_le_iff_le_toReal</a> hs.einfsep_ne_top, <a>le_einfsep_iff</a>, <a>edist_dist</a>,\n ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Algebra/Module/LinearPMap.lean | LinearPMap.IsClosed.isClosable | [
76,
1
] | [
77,
42
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Polynomial/Monic.lean | Polynomial.not_monic_zero | [
425,
1
] | [
426,
36
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Measure/MeasureSpace.lean | MeasureTheory.Ioi_ae_eq_Ici' | [
2817,
1
] | [
2818,
33
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Limits/Preserves/Shapes/Biproducts.lean | CategoryTheory.Functor.inr_biprodComparison' | [
348,
1
] | [
349,
22
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Finset/LocallyFinite.lean | Finset.Ioc_subset_Ioc_left | [
195,
1
] | [
196,
26
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Combinatorics/Configuration.lean | Configuration.HasPoints.existsUnique_point | [
110,
1
] | [
113,
79
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Maps.lean | IsClosedMap.of_nonempty | [
505,
1
] | [
509,
21
] | [{"tactic": "intro s hs", "annotated_tactic": ["intro s hs", []], "state_before": "\u03b1 : Type u_1\n\u03b2 : Type u_2\n\u03b3 : Type u_3\n\u03b4 : Type u_4\ninst\u271d\u00b2 : TopologicalSpace \u03b1\ninst\u271d\u00b9 : TopologicalSpace \u03b2\ninst\u271d : TopologicalSpace \u03b3\nf : \u03b1 \u2192 \u03b2\nh : \u220... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/OrdContinuous.lean | LeftOrdContinuous.map_ciSup | [
151,
1
] | [
154,
6
] | [{"tactic": "simp only [iSup, hf.map_csSup (range_nonempty _) hg, \u2190 range_comp]", "annotated_tactic": ["simp only [<a>iSup</a>, hf.map_csSup (<a>range_nonempty</a> _) hg, \u2190 <a>range_comp</a>]", [{"full_name": "iSup", "def_path": "Mathlib/Order/CompleteLattice.lean", "def_pos": [78, 5], "def_end_pos": [78, 9]}... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Nat/Interval.lean | Nat.Icc_eq_range' | [
64,
1
] | [
65,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/List/NatAntidiagonal.lean | List.Nat.map_swap_antidiagonal | [
95,
1
] | [
100,
74
] | [{"tactic": "rw [antidiagonal, map_map, \u2190 List.map_reverse, range_eq_range', reverse_range', \u2190\n range_eq_range', map_map]", "annotated_tactic": ["rw [<a>antidiagonal</a>, <a>map_map</a>, \u2190 <a>List.map_reverse</a>, <a>range_eq_range'</a>, <a>reverse_range'</a>, \u2190\n <a>range_eq_range'</a>, <a>map... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Subobject/Basic.lean | CategoryTheory.Subobject.ind₂ | [
126,
11
] | [
132,
26
] | [{"tactic": "apply Quotient.inductionOn\u2082'", "annotated_tactic": ["apply <a>Quotient.inductionOn\u2082'</a>", [{"full_name": "Quotient.inductionOn\u2082'", "def_path": "Mathlib/Data/Quot.lean", "def_pos": [679, 19], "def_end_pos": [679, 32]}]], "state_before": "C : Type u\u2081\ninst\u271d\u00b9 : Category.{v\u2081... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Part.lean | Part.sdiff_def | [
709,
1
] | [
709,
90
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Computability/Primrec.lean | Primrec.vector_toList_iff | [
1286,
1
] | [
1287,
18
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/CliffordAlgebra/Basic.lean | TensorAlgebra.toClifford_ι | [
421,
1
] | [
422,
20
] | [{"tactic": "simp [toClifford]", "annotated_tactic": ["simp [<a>toClifford</a>]", [{"full_name": "TensorAlgebra.toClifford", "def_path": "Mathlib/LinearAlgebra/CliffordAlgebra/Basic.lean", "def_pos": [416, 5], "def_end_pos": [416, 15]}]], "state_before": "R : Type u_1\ninst\u271d\u00b2 : CommRing R\nM : Type u_2\ninst\... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/NumberTheory/Padics/PadicNumbers.lean | padicNormE.is_norm | [
816,
11
] | [
816,
69
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Group/Defs.lean | mul_assoc | [
264,
1
] | [
265,
22
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Geometry/Manifold/MFDeriv.lean | tangentMapWithin_proj | [
753,
1
] | [
755,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/UniformSpace/UniformConvergence.lean | tendstoLocallyUniformlyOn_biUnion | [
660,
1
] | [
664,
49
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/InnerProductSpace/Spectrum.lean | LinearMap.IsSymmetric.diagonalization_symm_apply | [
174,
1
] | [
177,
39
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Algebra/InfiniteSum/Basic.lean | rel_sup_add | [
765,
1
] | [
770,
52
] | [{"tactic": "convert rel_iSup_tsum m m0 R m_iSup fun b => cond b s\u2081 s\u2082", "annotated_tactic": ["convert <a>rel_iSup_tsum</a> m m0 R m_iSup fun b => <a>cond</a> b s\u2081 s\u2082", [{"full_name": "rel_iSup_tsum", "def_path": "Mathlib/Topology/Algebra/InfiniteSum/Basic.lean", "def_pos": [748, 9], "def_end_pos": ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/FieldTheory/IntermediateField.lean | IntermediateField.toSubalgebra_le_toSubalgebra | [
587,
1
] | [
589,
10
] | [] |
https://github.com/leanprover/std4 | 869c615eb10130c0637a7bc038e2b80253559913 | lake-packages/std/Std/Classes/Order.lean | Std.TransCmp.ge_trans | [
54,
1
] | [
56,
42
] | [{"tactic": "have := @TransCmp.le_trans _ cmp _ z y x", "annotated_tactic": ["have := @<a>TransCmp.le_trans</a> _ cmp _ z y x", [{"full_name": "Std.TransCmp.le_trans", "def_path": "lake-packages/std/Std/Classes/Order.lean", "def_pos": [48, 3], "def_end_pos": [48, 11]}]], "state_before": "cmp\u271d : ?m.1071 \u2192 ?m.1... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/LocallyConvex/WithSeminorms.lean | WithSeminorms.tendsto_nhds | [
389,
1
] | [
394,
85
] | [{"tactic": "rw [hp.tendsto_nhds' u y\u2080]", "annotated_tactic": ["rw [hp.tendsto_nhds' u y\u2080]", []], "state_before": "\ud835\udd5c : Type u_1\n\ud835\udd5c\u2082 : Type u_2\n\ud835\udd5d : Type u_3\n\ud835\udd5d\u2082 : Type u_4\nE : Type u_5\nF : Type u_6\nG : Type u_7\n\u03b9 : Type u_8\n\u03b9' : Type u_9\nin... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Subtype.lean | Subtype.coe_eq_of_eq_mk | [
111,
1
] | [
112,
16
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Hom/Open.lean | ContinuousOpenMap.toFun_eq_coe | [
74,
1
] | [
75,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/NumberTheory/Padics/PadicNumbers.lean | PadicSeq.norm_nonzero_of_not_equiv_zero | [
151,
1
] | [
152,
25
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/NoetherianSpace.lean | TopologicalSpace.noetherianSpace_iff_isCompact | [
106,
1
] | [
107,
35
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Fin/Basic.lean | Fin.eq_iff_veq | [
151,
1
] | [
152,
25
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Quaternion.lean | QuaternionAlgebra.im_imJ | [
124,
1
] | [
125,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Nat/Choose/Basic.lean | Nat.factorial_mul_factorial_dvd_factorial | [
181,
1
] | [
182,
82
] | [{"tactic": "rw [\u2190 choose_mul_factorial_mul_factorial hk, mul_assoc]", "annotated_tactic": ["rw [\u2190 <a>choose_mul_factorial_mul_factorial</a> hk, <a>mul_assoc</a>]", [{"full_name": "Nat.choose_mul_factorial_mul_factorial", "def_path": "Mathlib/Data/Nat/Choose/Basic.lean", "def_pos": [126, 9], "def_end_pos": [1... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Maps.lean | inducing_induced | [
68,
1
] | [
69,
60
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Complex/Liouville.lean | Complex.norm_deriv_le_of_forall_mem_sphere_norm_le | [
74,
1
] | [
87,
64
] | [{"tactic": "set e : F \u2192L[\u2102] F\u0302 := UniformSpace.Completion.toComplL", "annotated_tactic": ["set e : F \u2192L[\u2102] F\u0302 := <a>UniformSpace.Completion.toComplL</a>", [{"full_name": "UniformSpace.Completion.toComplL", "def_path": "Mathlib/Analysis/NormedSpace/Completion.lean", "def_pos": [61, 5], "de... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Hom/Centroid.lean | CentroidHom.mul_apply | [
331,
1
] | [
332,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/Kaehler.lean | KaehlerDifferential.span_range_eq_ideal | [
125,
1
] | [
135,
32
] | [{"tactic": "apply le_antisymm", "annotated_tactic": ["apply <a>le_antisymm</a>", [{"full_name": "le_antisymm", "def_path": "Mathlib/Init/Order/Defs.lean", "def_pos": [188, 9], "def_end_pos": [188, 20]}]], "state_before": "R : Type u\nS : Type v\ninst\u271d\u2076 : CommRing R\ninst\u271d\u2075 : CommRing S\ninst\u271d\... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/AffineSpace/Ordered.lean | lineMap_le_map_iff_slope_le_slope | [
283,
1
] | [
285,
69
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Hom/Lattice.lean | SupHom.const_apply | [
452,
1
] | [
453,
6
] | [] |
https://github.com/leanprover/std4 | 869c615eb10130c0637a7bc038e2b80253559913 | lake-packages/std/Std/Data/List/Lemmas.lean | List.replaceF_cons_of_none | [
1483,
1
] | [
1484,
74
] | [{"tactic": "simp [replaceF_cons, h]", "annotated_tactic": ["simp [<a>replaceF_cons</a>, h]", [{"full_name": "List.replaceF_cons", "def_path": "lake-packages/std/Std/Data/List/Lemmas.lean", "def_pos": [1474, 9], "def_end_pos": [1474, 22]}]], "state_before": "\u03b1 : Type u_1\na : \u03b1\nl : List \u03b1\np : \u03b1 \u... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Separation.lean | regularSpace_sInf | [
1650,
1
] | [
1661,
45
] | [{"tactic": "let _ := sInf T", "annotated_tactic": ["let _ := <a>sInf</a> T", [{"full_name": "InfSet.sInf", "def_path": "Mathlib/Order/CompleteLattice.lean", "def_pos": [62, 3], "def_end_pos": [62, 7]}]], "state_before": "\u03b1 : Type u\n\u03b2 : Type v\ninst\u271d\u00b9 : TopologicalSpace \u03b1\ninst\u271d : Regular... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Limits/Shapes/Reflexive.lean | CategoryTheory.IsKernelPair.isReflexivePair | [
106,
1
] | [
108,
66
] | [] |
https://github.com/leanprover/std4 | 869c615eb10130c0637a7bc038e2b80253559913 | lake-packages/std/Std/Data/Int/DivMod.lean | Int.div_nonneg | [
92,
11
] | [
94,
48
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Calculus/ContDiff.lean | ContDiffWithinAt.sum | [
1374,
1
] | [
1382,
59
] | [{"tactic": "induction' s using Finset.induction_on with i s is IH", "annotated_tactic": ["induction' s using <a>Finset.induction_on</a> with i s is IH", [{"full_name": "Finset.induction_on", "def_path": "Mathlib/Data/Finset/Basic.lean", "def_pos": [1251, 19], "def_end_pos": [1251, 31]}]], "state_before": "\ud835\udd5c... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/FiberBundle/Trivialization.lean | Pretrivialization.symm_apply_mk_proj | [
178,
1
] | [
180,
50
] | [{"tactic": "rw [\u2190 e.coe_fst ex, \u2190 e.coe_coe, e.left_inv ex]", "annotated_tactic": ["rw [\u2190 e.coe_fst ex, \u2190 e.coe_coe, e.left_inv ex]", []], "state_before": "\u03b9 : Type u_1\nB : Type u_2\nF : Type u_3\nE : B \u2192 Type u_4\nZ : Type u_5\ninst\u271d\u00b9 : TopologicalSpace B\ninst\u271d : Topolog... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/FieldTheory/RatFunc.lean | RatFunc.intDegree_X | [
1585,
1
] | [
1587,
45
] | [{"tactic": "rw [intDegree, RatFunc.num_X, Polynomial.natDegree_X, RatFunc.denom_X, Polynomial.natDegree_one,\n Int.ofNat_one, Int.ofNat_zero, sub_zero]", "annotated_tactic": ["rw [<a>intDegree</a>, <a>RatFunc.num_X</a>, <a>Polynomial.natDegree_X</a>, <a>RatFunc.denom_X</a>, <a>Polynomial.natDegree_one</a>,\n <a>In... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Polynomial/Module.lean | PolynomialModule.smul_single_apply | [
162,
1
] | [
174,
15
] | [{"tactic": "induction' f using Polynomial.induction_on' with p q hp hq", "annotated_tactic": ["induction' f using <a>Polynomial.induction_on'</a> with p q hp hq", [{"full_name": "Polynomial.induction_on'", "def_path": "Mathlib/Data/Polynomial/Induction.lean", "def_pos": [63, 19], "def_end_pos": [63, 32]}]], "state_bef... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Finset/Basic.lean | Finset.val_injective | [
155,
1
] | [
155,
88
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Calculus/Deriv/Comp.lean | HasFDerivAt.comp_hasDerivWithinAt | [
247,
1
] | [
249,
68
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Limits/Shapes/Pullbacks.lean | CategoryTheory.Limits.pushout.mapLift_comp | [
1420,
1
] | [
1426,
12
] | [{"tactic": "aesop_cat", "annotated_tactic": ["aesop_cat", []], "state_before": "C : Type u\ninst\u271d\u2075 : Category.{v, u} C\nD : Type u\u2082\ninst\u271d\u2074 : Category.{v\u2082, u\u2082} D\nW X\u271d Y\u271d Z X Y S T S' : C\nf : T \u27f6 X\ng : T \u27f6 Y\ni : S \u27f6 T\ni' : S' \u27f6 S\ninst\u271d\u00b3 : ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/BigOperators/Fin.lean | Fin.prod_univ_castSucc | [
91,
1
] | [
93,
56
] | [{"tactic": "simpa [mul_comm] using prod_univ_succAbove f (last n)", "annotated_tactic": ["simpa [<a>mul_comm</a>] using <a>prod_univ_succAbove</a> f (<a>last</a> n)", [{"full_name": "mul_comm", "def_path": "Mathlib/Algebra/Group/Defs.lean", "def_pos": [302, 9], "def_end_pos": [302, 17]}, {"full_name": "Fin.prod_univ_s... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Algebra/Group/Basic.lean | GroupTopology.continuous_mul' | [
1935,
1
] | [
1940,
23
] | [{"tactic": "letI := g.toTopologicalSpace", "annotated_tactic": ["letI := g.toTopologicalSpace", []], "state_before": "\u03b1 : Type u\n\u03b2 : Type v\nG : Type w\nH : Type x\ninst\u271d : Group \u03b1\ng : GroupTopology \u03b1\n\u22a2 Continuous fun p => p.1 * p.2", "state_after": "\u03b1 : Type u\n\u03b2 : Type v\nG... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Combinatorics/SimpleGraph/Regularity/Bound.lean | SzemerediRegularity.a_add_one_le_four_pow_parts_card | [
148,
1
] | [
153,
49
] | [{"tactic": "have h : 1 \u2264 4 ^ P.parts.card := one_le_pow_of_one_le (by norm_num) _", "annotated_tactic": ["have h : 1 \u2264 4 ^ P.parts.card := <a>one_le_pow_of_one_le</a> (by norm_num) _", [{"full_name": "one_le_pow_of_one_le", "def_path": "Mathlib/Algebra/GroupPower/Order.lean", "def_pos": [423, 9], "def_end_po... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/PFun.lean | PFun.dom_mk | [
84,
1
] | [
85,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Dynamics/BirkhoffSum/Average.lean | birkhoffAverage_apply_sub_birkhoffAverage | [
83,
1
] | [
87,
77
] | [{"tactic": "simp only [birkhoffAverage, birkhoffSum_apply_sub_birkhoffSum, \u2190 smul_sub]", "annotated_tactic": ["simp only [<a>birkhoffAverage</a>, <a>birkhoffSum_apply_sub_birkhoffSum</a>, \u2190 <a>smul_sub</a>]", [{"full_name": "birkhoffAverage", "def_path": "Mathlib/Dynamics/BirkhoffSum/Average.lean", "def_pos"... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/SetTheory/Cardinal/Ordinal.lean | Cardinal.mk_compl_eq_mk_compl_finite | [
1182,
1
] | [
1186,
21
] | [{"tactic": "rw [\u2190 lift_inj.{u, max u v}]", "annotated_tactic": ["rw [\u2190 <a>lift_inj</a>.{u, max u v}]", [{"full_name": "Cardinal.lift_inj", "def_path": "Mathlib/SetTheory/Cardinal/Basic.lean", "def_pos": [358, 9], "def_end_pos": [358, 17]}]], "state_before": "\u03b1 \u03b2 : Type u\ninst\u271d : Finite \u03b1... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Int/Cast/Basic.lean | Int.cast_neg | [
83,
1
] | [
86,
57
] | [{"tactic": "erw [cast_zero, neg_zero]", "annotated_tactic": ["erw [<a>cast_zero</a>, <a>neg_zero</a>]", [{"full_name": "Int.cast_zero", "def_path": "Mathlib/Data/Int/Cast/Basic.lean", "def_pos": [59, 9], "def_end_pos": [59, 18]}, {"full_name": "neg_zero", "def_path": "Mathlib/Algebra/Group/Defs.lean", "def_pos": [1014... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Separation.lean | Bornology.relativelyCompact.isBounded_iff | [
457,
1
] | [
466,
82
] | [{"tactic": "change s\u1d9c \u2208 Filter.coclosedCompact \u03b1 \u2194 _", "annotated_tactic": ["change s\u1d9c \u2208 <a>Filter.coclosedCompact</a> \u03b1 \u2194 _", [{"full_name": "Filter.coclosedCompact", "def_path": "Mathlib/Topology/Compactness/Compact.lean", "def_pos": [579, 5], "def_end_pos": [579, 20]}]], "sta... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/Quotient.lean | Submodule.ker_liftQ | [
477,
1
] | [
478,
22
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Enriched/Basic.lean | CategoryTheory.e_id_comp | [
80,
1
] | [
82,
31
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Ordmap/Ordset.lean | Ordnode.length_toList | [
559,
1
] | [
560,
42
] | [{"tactic": "rw [length_toList', size_eq_realSize h]", "annotated_tactic": ["rw [<a>length_toList'</a>, <a>size_eq_realSize</a> h]", [{"full_name": "Ordnode.length_toList'", "def_path": "Mathlib/Data/Ordmap/Ordset.lean", "def_pos": [552, 9], "def_end_pos": [552, 23]}, {"full_name": "Ordnode.size_eq_realSize", "def_path... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/GroupTheory/Perm/Cycle/Basic.lean | Equiv.Perm.SameCycle.mem_support_iff | [
1169,
1
] | [
1171,
71
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Module/LinearMap.lean | LinearMap.comp_sub | [
969,
1
] | [
971,
28
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/Valuation/Basic.lean | AddValuation.map_add' | [
683,
1
] | [
686,
16
] | [{"tactic": "intro x y", "annotated_tactic": ["intro x y", []], "state_before": "K : Type u_1\nF : Type u_2\nR : Type u_3\ninst\u271d\u00b3 : DivisionRing K\n\u0393\u2080 : Type u_4\n\u0393'\u2080 : Type u_5\ninst\u271d\u00b2 : Ring R\ninst\u271d\u00b9 : LinearOrderedAddCommMonoidWithTop \u0393\u2080\ninst\u271d : Line... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Order.lean | generateFrom_iUnion_isOpen | [
998,
1
] | [
1000,
33
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/ContinuedFractions/Translations.lean | GeneralizedContinuedFraction.second_continuant_aux_eq | [
149,
1
] | [
151,
86
] | [{"tactic": "simp [zeroth_s_eq, continuantsAux, nextContinuants, nextDenominator, nextNumerator]", "annotated_tactic": ["simp [zeroth_s_eq, <a>continuantsAux</a>, <a>nextContinuants</a>, <a>nextDenominator</a>, <a>nextNumerator</a>]", [{"full_name": "GeneralizedContinuedFraction.continuantsAux", "def_path": "Mathlib/Al... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/SetTheory/Ordinal/NaturalOps.lean | Ordinal.nadd_lt_nadd_iff_right | [
445,
1
] | [
446,
43
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Real/Irrational.lean | Irrational.of_int_div | [
424,
1
] | [
425,
44
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/NonUnitalSubring/Basic.lean | NonUnitalSubring.toSubsemigroup_injective | [
223,
1
] | [
225,
48
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/NumberTheory/ClassNumber/AdmissibleCardPowDegree.lean | Polynomial.exists_eq_polynomial | [
36,
1
] | [
57,
49
] | [{"tactic": "set f : Fin m.succ \u2192 Fin d \u2192 Fq := fun i j => (A i).coeff j", "annotated_tactic": ["set f : <a>Fin</a> m.succ \u2192 <a>Fin</a> d \u2192 Fq := fun i j => (A i).<a>coeff</a> j", [{"full_name": "Fin", "def_path": "lake-packages/lean4/src/lean/Init/Prelude.lean", "def_pos": [1745, 11], "def_end_pos"... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Calculus/Deriv/Add.lean | HasDerivAt.const_add | [
132,
8
] | [
134,
17
] | [] |
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