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/Analysis/Normed/Group/Basic.lean | nndist_nnnorm_nnnorm_le' | [
970,
1
] | [
971,
48
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Homeomorph.lean | Homeomorph.quotientMap | [
237,
11
] | [
239,
47
] | [{"tactic": "simp only [self_comp_symm, QuotientMap.id]", "annotated_tactic": ["simp only [<a>self_comp_symm</a>, <a>QuotientMap.id</a>]", [{"full_name": "Homeomorph.self_comp_symm", "def_path": "Mathlib/Topology/Homeomorph.lean", "def_pos": [201, 9], "def_end_pos": [201, 23]}, {"full_name": "QuotientMap.id", "def_path... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/NumberTheory/Bertrand.lean | Bertrand.real_main_inequality | [
54,
1
] | [
112,
35
] | [{"tactic": "let f : \u211d \u2192 \u211d := fun x => log x + sqrt (2 * x) * log (2 * x) - log 4 / 3 * x", "annotated_tactic": ["let f : \u211d \u2192 \u211d := fun x => <a>log</a> x + <a>sqrt</a> (2 * x) * <a>log</a> (2 * x) - <a>log</a> 4 / 3 * x", [{"full_name": "Real.log", "def_path": "Mathlib/Analysis/SpecialFunct... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/ContinuedFractions/Computation/Approximations.lean | GeneralizedContinuedFraction.abs_sub_convergents_le' | [
537,
1
] | [
552,
87
] | [{"tactic": "have not_terminated_at_n : \u00ac(of v).TerminatedAt n := by\n simp [terminatedAt_iff_part_denom_none, nth_part_denom_eq]", "annotated_tactic": ["have not_terminated_at_n : \u00ac(<a>of</a> v).<a>TerminatedAt</a> n := by\n simp [<a>terminatedAt_iff_part_denom_none</a>, nth_part_denom_eq]", [{"full_name... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Sites/Grothendieck.lean | CategoryTheory.GrothendieckTopology.Cover.Arrow.middle_spec | [
663,
1
] | [
665,
57
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Preadditive/AdditiveFunctor.lean | CategoryTheory.Functor.map_nsmul | [
89,
1
] | [
90,
63
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/SumIntegralComparisons.lean | MonotoneOn.integral_le_sum | [
165,
1
] | [
168,
31
] | [{"tactic": "rw [\u2190 neg_le_neg_iff, \u2190 Finset.sum_neg_distrib, \u2190 intervalIntegral.integral_neg]", "annotated_tactic": ["rw [\u2190 <a>neg_le_neg_iff</a>, \u2190 <a>Finset.sum_neg_distrib</a>, \u2190 <a>intervalIntegral.integral_neg</a>]", [{"full_name": "neg_le_neg_iff", "def_path": "Mathlib/Algebra/Order/... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/GCDMonoid/Basic.lean | normUnit_one | [
94,
1
] | [
95,
23
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Polynomial/Degree/Definitions.lean | Polynomial.coeff_mul_X_sub_C | [
532,
1
] | [
533,
89
] | [{"tactic": "simp [mul_sub]", "annotated_tactic": ["simp [<a>mul_sub</a>]", [{"full_name": "mul_sub", "def_path": "Mathlib/Algebra/Ring/Defs.lean", "def_pos": [365, 7], "def_end_pos": [365, 14]}]], "state_before": "R : Type u\nS : Type v\na\u271d b c d : R\nn m : \u2115\ninst\u271d : Ring R\np : R[X]\nr : R\na : \u2115... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Periodic.lean | Function.Periodic.const_inv_mul | [
135,
1
] | [
137,
22
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Polynomial/Expand.lean | Polynomial.expand_eq_zero | [
138,
1
] | [
139,
45
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/NumberTheory/LegendreSymbol/JacobiSymbol.lean | jacobiSym.value_at | [
325,
1
] | [
331,
79
] | [{"tactic": "conv_rhs => rw [\u2190 prod_factors hb.pos.ne', cast_list_prod, \u03c7.map_list_prod]", "annotated_tactic": ["conv_rhs => rw [\u2190 <a>prod_factors</a> hb.pos.ne', <a>cast_list_prod</a>, \u03c7.map_list_prod]", [{"full_name": "Nat.prod_factors", "def_path": "Mathlib/Data/Nat/Factors.lean", "def_pos": [67,... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Intervals/Basic.lean | Set.Ico_subset_Ico_union_Ico | [
1524,
1
] | [
1525,
84
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/RingHomProperties.lean | RingHom.RespectsIso.cancel_left_isIso | [
50,
1
] | [
54,
89
] | [{"tactic": "convert hP.2 (f \u226b g) (asIso f).symm.commRingCatIsoToRingEquiv H", "annotated_tactic": ["convert hP.2 (f \u226b g) (<a>asIso</a> f).symm.commRingCatIsoToRingEquiv H", [{"full_name": "CategoryTheory.asIso", "def_path": "Mathlib/CategoryTheory/Iso.lean", "def_pos": [307, 19], "def_end_pos": [307, 24]}]],... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Measure/MeasureSpace.lean | MeasureTheory.ae_restrict_biUnion_iff | [
2522,
1
] | [
2524,
69
] | [{"tactic": "simp_rw [Filter.Eventually, ae_restrict_biUnion_eq s ht, mem_iSup]", "annotated_tactic": ["simp_rw [<a>Filter.Eventually</a>, <a>ae_restrict_biUnion_eq</a> s ht, <a>mem_iSup</a>]", [{"full_name": "Filter.Eventually", "def_path": "Mathlib/Order/Filter/Basic.lean", "def_pos": [1072, 15], "def_end_pos": [1072... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Basic.lean | Set.ite_univ | [
2307,
1
] | [
2307,
77
] | [{"tactic": "simp [Set.ite]", "annotated_tactic": ["simp [<a>Set.ite</a>]", [{"full_name": "Set.ite", "def_path": "Mathlib/Data/Set/Basic.lean", "def_pos": [2265, 15], "def_end_pos": [2265, 18]}]], "state_before": "\u03b1 : Type u\n\u03b2 : Type v\n\u03b3 : Type w\n\u03b9 : Sort x\na b : \u03b1\ns\u271d s\u2081 s\u2082... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Measure/OuterMeasure.lean | MeasureTheory.OuterMeasure.sInf_eq_boundedBy_sInfGen | [
1141,
1
] | [
1148,
54
] | [{"tactic": "refine' le_antisymm _ _", "annotated_tactic": ["refine' <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": "\u03b1 : Type u_1\nm : Set (OuterMeasure \u03b1)\n\u22a2 sInf m = boundedBy (sInfGen ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Intervals/Basic.lean | Set.Ioo_insert_left | [
900,
1
] | [
901,
47
] | [{"tactic": "rw [insert_eq, union_comm, Ioo_union_left h]", "annotated_tactic": ["rw [<a>insert_eq</a>, <a>union_comm</a>, <a>Ioo_union_left</a> h]", [{"full_name": "Set.insert_eq", "def_path": "Mathlib/Data/Set/Basic.lean", "def_pos": [1310, 9], "def_end_pos": [1310, 18]}, {"full_name": "Set.union_comm", "def_path": "... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/CliffordAlgebra/Grading.lean | CliffordAlgebra.even_induction | [
232,
1
] | [
243,
13
] | [{"tactic": "refine' evenOdd_induction Q 0 (fun rx => _) (@hadd) h\u03b9\u03b9_mul x hx", "annotated_tactic": ["refine' <a>evenOdd_induction</a> Q 0 (fun rx => _) (@hadd) h\u03b9\u03b9_mul x hx", [{"full_name": "CliffordAlgebra.evenOdd_induction", "def_path": "Mathlib/LinearAlgebra/CliffordAlgebra/Grading.lean", "def_p... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Basic.lean | clusterPt_principal_iff | [
1121,
1
] | [
1123,
26
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Matrix/PEquiv.lean | PEquiv.toMatrix_injective | [
124,
1
] | [
140,
33
] | [{"tactic": "intro f g", "annotated_tactic": ["intro f g", []], "state_before": "k : Type u_1\nl : Type u_2\nm : Type u_3\nn : Type u_4\n\u03b1 : Type v\ninst\u271d\u00b2 : DecidableEq n\ninst\u271d\u00b9 : MonoidWithZero \u03b1\ninst\u271d : Nontrivial \u03b1\n\u22a2 Function.Injective toMatrix", "state_after": "k : T... |
https://github.com/leanprover/std4 | 869c615eb10130c0637a7bc038e2b80253559913 | lake-packages/std/Std/Data/Nat/Lemmas.lean | Nat.pos_iff_ne_zero | [
204,
11
] | [
204,
94
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/ModelTheory/Substructures.lean | FirstOrder.Language.Substructure.closure_mono | [
289,
1
] | [
290,
25
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Order/Ring/Defs.lean | nonneg_of_mul_nonneg_left | [
812,
1
] | [
813,
64
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Sigma/Basic.lean | Sigma.mk.inj_iff | [
56,
1
] | [
59,
49
] | [{"tactic": "cases h", "annotated_tactic": ["cases h", []], "state_before": "\u03b1 : Type u_1\n\u03b1\u2081 : Type u_2\n\u03b1\u2082 : Type u_3\n\u03b2 : \u03b1 \u2192 Type u_4\n\u03b2\u2081 : \u03b1\u2081 \u2192 Type u_5\n\u03b2\u2082 : \u03b1\u2082 \u2192 Type u_6\na\u2081 a\u2082 : \u03b1\nb\u2081 : \u03b2 a\u2081\... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Multiset/Basic.lean | Multiset.le_zero | [
557,
1
] | [
558,
13
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Filter/AtTopBot.lean | Filter.Ici_mem_atTop | [
57,
1
] | [
58,
14
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Limits/Shapes/ZeroMorphisms.lean | CategoryTheory.Limits.zero_comp | [
73,
1
] | [
75,
33
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Pointwise/Interval.lean | Set.preimage_neg_uIcc | [
437,
1
] | [
438,
72
] | [{"tactic": "simp only [\u2190 Icc_min_max, preimage_neg_Icc, min_neg_neg, max_neg_neg]", "annotated_tactic": ["simp only [\u2190 <a>Icc_min_max</a>, <a>preimage_neg_Icc</a>, <a>min_neg_neg</a>, <a>max_neg_neg</a>]", [{"full_name": "Set.Icc_min_max", "def_path": "Mathlib/Data/Set/Intervals/UnorderedInterval.lean", "def... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/NumberTheory/LucasLehmer.lean | succ_mersenne | [
59,
1
] | [
61,
45
] | [{"tactic": "rw [mersenne, tsub_add_cancel_of_le]", "annotated_tactic": ["rw [<a>mersenne</a>, <a>tsub_add_cancel_of_le</a>]", [{"full_name": "mersenne", "def_path": "Mathlib/NumberTheory/LucasLehmer.lean", "def_pos": [42, 5], "def_end_pos": [42, 13]}, {"full_name": "tsub_add_cancel_of_le", "def_path": "Mathlib/Algebra... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/Polynomial/Bernstein.lean | bernsteinPolynomial.iterate_derivative_at_1_eq_zero_of_lt | [
215,
1
] | [
219,
75
] | [{"tactic": "intro w", "annotated_tactic": ["intro w", []], "state_before": "R : Type u_1\ninst\u271d : CommRing R\nn \u03bd k : \u2115\n\u22a2 k < n - \u03bd \u2192 eval 1 ((\u2191derivative)^[k] (bernsteinPolynomial R n \u03bd)) = 0", "state_after": "R : Type u_1\ninst\u271d : CommRing R\nn \u03bd k : \u2115\nw : k <... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Pointwise/Interval.lean | Set.preimage_mul_const_Iic | [
520,
1
] | [
522,
36
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Group/Units.lean | Units.mk_val | [
164,
1
] | [
165,
10
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Sups.lean | Set.infs_inter_subset_right | [
335,
1
] | [
336,
28
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/DiscreteValuationRing/Basic.lean | DiscreteValuationRing.addVal_uniformizer | [
428,
1
] | [
430,
30
] | [{"tactic": "simpa only [one_mul, eq_self_iff_true, Units.val_one, pow_one, forall_true_left, Nat.cast_one]\n using addVal_def \u03d6 1 h\u03d6 1", "annotated_tactic": ["simpa only [<a>one_mul</a>, <a>eq_self_iff_true</a>, <a>Units.val_one</a>, <a>pow_one</a>, <a>forall_true_left</a>, <a>Nat.cast_one</a>]\n using <... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/NormedSpace/Units.lean | Ideal.closure_ne_top | [
255,
1
] | [
257,
85
] | [{"tactic": "have h := closure_minimal (coe_subset_nonunits hI) nonunits.isClosed", "annotated_tactic": ["have h := <a>closure_minimal</a> (<a>coe_subset_nonunits</a> hI) <a>nonunits.isClosed</a>", [{"full_name": "closure_minimal", "def_path": "Mathlib/Topology/Basic.lean", "def_pos": [443, 9], "def_end_pos": [443, 24]... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Function/SimpleFunc.lean | MeasureTheory.SimpleFunc.apply_mk | [
85,
1
] | [
86,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/MeasurableSpace/Defs.lean | MeasurableSet.empty | [
80,
1
] | [
81,
40
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Convex/Between.lean | wbtw_or_wbtw_smul_vadd_of_nonneg | [
770,
1
] | [
774,
70
] | [{"tactic": "rcases le_total r\u2081 r\u2082 with (h | h)", "annotated_tactic": ["rcases <a>le_total</a> r\u2081 r\u2082 with (h | h)", [{"full_name": "le_total", "def_path": "Mathlib/Init/Order/Defs.lean", "def_pos": [295, 9], "def_end_pos": [295, 17]}]], "state_before": "R : Type u_1\nV : Type u_2\nV' : Type u_3\nP :... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Finset/NAry.lean | Finset.image₂_image₂_image₂_comm | [
396,
1
] | [
403,
43
] | [{"tactic": "push_cast", "annotated_tactic": ["push_cast", []], "state_before": "\u03b1 : Type u_1\n\u03b1' : Type u_2\n\u03b2 : Type u_3\n\u03b2' : Type u_4\n\u03b3\u271d : Type u_5\n\u03b3' : Type u_6\n\u03b4\u271d : Type u_7\n\u03b4' : Type u_8\n\u03b5 : Type u_9\n\u03b5' : Type u_10\n\u03b6 : Type u_11\n\u03b6' : T... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/TensorProduct.lean | LinearMap.rTensor_smul | [
1115,
1
] | [
1116,
30
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Order/Group/Defs.lean | mul_inv_lt_iff_lt_mul | [
305,
1
] | [
306,
54
] | [{"tactic": "rw [\u2190 mul_lt_mul_iff_right b, inv_mul_cancel_right]", "annotated_tactic": ["rw [\u2190 <a>mul_lt_mul_iff_right</a> b, <a>inv_mul_cancel_right</a>]", [{"full_name": "mul_lt_mul_iff_right", "def_path": "Mathlib/Algebra/Order/Monoid/Lemmas.lean", "def_pos": [113, 9], "def_end_pos": [113, 29]}, {"full_nam... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Calculus/BumpFunction/Basic.lean | ContDiffWithinAt.contDiffBump | [
203,
11
] | [
213,
91
] | [{"tactic": "change ContDiffWithinAt \u211d n (uncurry (someContDiffBumpBase E).toFun \u2218 fun x : X =>\n ((f x).rOut / (f x).rIn, (f x).rIn\u207b\u00b9 \u2022 (g x - c x))) s x", "annotated_tactic": ["change <a>ContDiffWithinAt</a> \u211d n (<a>uncurry</a> (<a>someContDiffBumpBase</a> E).<a>toFun</a> \u2218 fun x :... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Real/CauSeq.lean | CauSeq.const_neg | [
323,
1
] | [
324,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Order.lean | DiscreteTopology.of_continuous_injective | [
366,
1
] | [
369,
93
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/GroupTheory/Sylow.lean | Sylow.coe_comapOfInjective | [
122,
1
] | [
124,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/List/Indexes.lean | List.mapIdx_eq_enum_map | [
165,
1
] | [
171,
62
] | [{"tactic": "rw [List.new_def_eq_old_def]", "annotated_tactic": ["rw [<a>List.new_def_eq_old_def</a>]", [{"full_name": "List.new_def_eq_old_def", "def_path": "Mathlib/Data/List/Indexes.lean", "def_pos": [137, 19], "def_end_pos": [137, 37]}]], "state_before": "\u03b1 : Type u\n\u03b2 : Type v\nl : List \u03b1\nf : \u211... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/FieldTheory/PolynomialGaloisGroup.lean | Polynomial.Gal.mul_splits_in_splittingField_of_mul | [
316,
1
] | [
330,
39
] | [{"tactic": "apply splits_mul", "annotated_tactic": ["apply <a>splits_mul</a>", [{"full_name": "Polynomial.splits_mul", "def_path": "Mathlib/Data/Polynomial/Splits.lean", "def_pos": [112, 9], "def_end_pos": [112, 19]}]], "state_before": "F : Type u_1\ninst\u271d\u00b2 : Field F\np q : F[X]\nE : Type u_2\ninst\u271d\u00... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Monotone/Union.lean | MonotoneOn.union_right | [
78,
11
] | [
103,
23
] | [{"tactic": "intro x hx y hy hxy", "annotated_tactic": ["intro x hx y hy hxy", []], "state_before": "\u03b1 : Type u_1\n\u03b2 : Type u_2\ninst\u271d\u00b9 : LinearOrder \u03b1\ninst\u271d : Preorder \u03b2\na : \u03b1\nf : \u03b1 \u2192 \u03b2\ns t : Set \u03b1\nc : \u03b1\nh\u2081 : MonotoneOn f s\nh\u2082 : Monotone... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/AffineSpace/AffineMap.lean | AffineMap.vsub_apply | [
334,
1
] | [
335,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/AlgebraicGeometry/Spec.lean | AlgebraicGeometry.StructureSheaf.isLocalizedModule_toPushforwardStalkAlgHom_aux | [
409,
1
] | [
440,
10
] | [{"tactic": "obtain \u27e8U, hp, s, e\u27e9 := TopCat.Presheaf.germ_exist\n (Spec.topMap (algebraMap \u2191R \u2191S) _* (structureSheaf S).val) _ y", "annotated_tactic": ["obtain \u27e8U, hp, s, e\u27e9 := <a>TopCat.Presheaf.germ_exist</a>\n -- Porting note : originally the first variable does not need to be expli... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Matrix/Basic.lean | Matrix.algebraMap_eq_smul | [
1318,
1
] | [
1319,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/SpecialFunctions/Trigonometric/Basic.lean | Real.cos_sub_two_pi | [
339,
1
] | [
340,
24
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/Prod.lean | LinearMap.coprod_map_prod | [
260,
1
] | [
265,
48
] | [{"tactic": "simp only [LinearMap.coprod_apply, Submodule.coe_sup, Submodule.map_coe]", "annotated_tactic": ["simp only [<a>LinearMap.coprod_apply</a>, <a>Submodule.coe_sup</a>, <a>Submodule.map_coe</a>]", [{"full_name": "LinearMap.coprod_apply", "def_path": "Mathlib/LinearAlgebra/Prod.lean", "def_pos": [215, 9], "def_... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Sign.lean | SignType.range_eq | [
284,
1
] | [
286,
37
] | [{"tactic": "classical rw [\u2190 Fintype.coe_image_univ, univ_eq]", "annotated_tactic": ["classical rw [\u2190 <a>Fintype.coe_image_univ</a>, <a>univ_eq</a>]", [{"full_name": "Fintype.coe_image_univ", "def_path": "Mathlib/Data/Fintype/Basic.lean", "def_pos": [978, 9], "def_end_pos": [978, 31]}, {"full_name": "SignType... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/DirectSum/Module.lean | DirectSum.isInternal_submodule_iff_independent_and_iSup_eq_top | [
406,
1
] | [
409,
64
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Function/LpSeminorm.lean | MeasurableEmbedding.snorm_map_measure | [
960,
1
] | [
969,
8
] | [{"tactic": "by_cases hp_zero : p = 0", "annotated_tactic": ["by_cases hp_zero : p = 0", []], "state_before": "\u03b1 : Type u_1\nE : Type u_2\nF : Type u_3\nG : Type u_4\nm m0 : MeasurableSpace \u03b1\np : \u211d\u22650\u221e\nq : \u211d\n\u03bc \u03bd : Measure \u03b1\ninst\u271d\u00b2 : NormedAddCommGroup E\ninst\u2... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/DedekindDomain/AdicValuation.lean | IsDedekindDomain.HeightOneSpectrum.adicValued_apply | [
329,
1
] | [
330,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/List/Rotate.lean | List.rotate'_length | [
85,
1
] | [
86,
48
] | [{"tactic": "rw [rotate'_eq_drop_append_take le_rfl]", "annotated_tactic": ["rw [<a>rotate'_eq_drop_append_take</a> <a>le_rfl</a>]", [{"full_name": "List.rotate'_eq_drop_append_take", "def_path": "Mathlib/Data/List/Rotate.lean", "def_pos": [65, 9], "def_end_pos": [65, 36]}, {"full_name": "le_rfl", "def_path": "Mathlib/... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Monad/Limits.lean | CategoryTheory.Monad.hasLimit_of_comp_forget_hasLimit | [
124,
1
] | [
126,
35
] | [] |
https://github.com/leanprover/std4 | 869c615eb10130c0637a7bc038e2b80253559913 | lake-packages/std/Std/Data/Int/DivMod.lean | Int.fdiv_eq_ediv | [
55,
1
] | [
57,
50
] | [{"tactic": "simp", "annotated_tactic": ["simp", []], "state_before": "a\u271d : Nat\nx\u271d : 0 \u2264 0\n\u22a2 fdiv -[a\u271d+1] 0 = -[a\u271d+1] / 0", "state_after": "no goals"}] |
https://github.com/leanprover/std4 | 869c615eb10130c0637a7bc038e2b80253559913 | lake-packages/std/Std/Data/Nat/Lemmas.lean | Nat.lt_succ | [
223,
1
] | [
224,
33
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Pointwise/Basic.lean | Set.Nonempty.zero_div | [
1284,
1
] | [
1285,
60
] | [{"tactic": "simpa [mem_div] using hs", "annotated_tactic": ["simpa [<a>mem_div</a>] using hs", [{"full_name": "Set.mem_div", "def_path": "Mathlib/Data/Set/Pointwise/Basic.lean", "def_pos": [603, 9], "def_end_pos": [603, 16]}]], "state_before": "F : Type u_1\n\u03b1 : Type u_2\n\u03b2 : Type u_3\n\u03b3 : Type u_4\nins... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Lattice.lean | Set.iUnion_inter | [
639,
1
] | [
640,
18
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Convex/Cone/Proper.lean | ProperCone.mem_comap | [
263,
1
] | [
264,
10
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Filter/Basic.lean | Filter.empty_mem_iff_bot | [
693,
1
] | [
694,
97
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Group/FundamentalDomain.lean | MeasureTheory.IsFundamentalDomain.nullMeasurableSet_smul | [
192,
1
] | [
194,
29
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Init/Data/Bool/Lemmas.lean | Bool.coe_sort_true | [
123,
1
] | [
123,
57
] | [{"tactic": "simp", "annotated_tactic": ["simp", []], "state_before": "\u22a2 (true = true) = True", "state_after": "no goals"}] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Logic/Basic.lean | not_forall_not | [
700,
1
] | [
700,
77
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Computability/Halting.lean | ComputablePred.rice | [
197,
1
] | [
211,
18
] | [{"tactic": "cases' h with _ h", "annotated_tactic": ["cases' h with _ h", []], "state_before": "\u03b1 : Type u_1\n\u03c3 : Type u_2\ninst\u271d\u00b9 : Primcodable \u03b1\ninst\u271d : Primcodable \u03c3\nC : Set (\u2115 \u2192. \u2115)\nh : ComputablePred fun c => eval c \u2208 C\nf g : \u2115 \u2192. \u2115\nhf : N... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/Matrix/GeneralLinearGroup.lean | Matrix.GeneralLinearGroup.coe_inv | [
120,
1
] | [
122,
43
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/CompleteLattice.lean | iSup_congr_Prop | [
719,
1
] | [
723,
10
] | [{"tactic": "obtain rfl := propext pq", "annotated_tactic": ["obtain rfl := <a>propext</a> pq", [{"full_name": "propext", "def_path": "lake-packages/lean4/src/lean/Init/Core.lean", "def_pos": [1142, 7], "def_end_pos": [1142, 14]}]], "state_before": "\u03b1 : Type u_1\n\u03b2 : Type u_2\n\u03b2\u2082 : Type u_3\n\u03b3 ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/UniformSpace/UniformEmbedding.lean | closedEmbedding_of_spaced_out | [
234,
1
] | [
240,
59
] | [{"tactic": "rcases @DiscreteTopology.eq_bot \u03b1 _ _ with rfl", "annotated_tactic": ["rcases @<a>DiscreteTopology.eq_bot</a> \u03b1 _ _ with rfl", [{"full_name": "DiscreteTopology.eq_bot", "def_path": "Mathlib/Topology/Order.lean", "def_pos": [274, 3], "def_end_pos": [274, 9]}]], "state_before": "\u03b1\u271d : Type... |
https://github.com/leanprover/std4 | 869c615eb10130c0637a7bc038e2b80253559913 | lake-packages/std/Std/Data/List/Lemmas.lean | List.get?_append | [
706,
1
] | [
710,
51
] | [{"tactic": "have hn' : n < (l\u2081 ++ l\u2082).length := Nat.lt_of_lt_of_le hn <|\n length_append .. \u25b8 Nat.le_add_right ..", "annotated_tactic": ["have hn' : n < (l\u2081 ++ l\u2082).<a>length</a> := <a>Nat.lt_of_lt_of_le</a> hn <|\n <a>length_append</a> .. \u25b8 <a>Nat.le_add_right</a> ..", [{"full_name": ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Order/Nonneg/Ring.lean | Nonneg.mk_eq_zero | [
112,
1
] | [
114,
18
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Sets/Opens.lean | TopologicalSpace.Opens.eq_bot_or_top | [
280,
1
] | [
283,
12
] | [{"tactic": "subst h", "annotated_tactic": ["subst h", []], "state_before": "\u03b9 : Type u_1\n\u03b1\u271d : Type u_2\n\u03b2 : Type u_3\n\u03b3 : Type u_4\ninst\u271d\u00b2 : TopologicalSpace \u03b1\u271d\ninst\u271d\u00b9 : TopologicalSpace \u03b2\ninst\u271d : TopologicalSpace \u03b3\n\u03b1 : Type u_5\nt : Topolo... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/MvPolynomial/Basic.lean | MvPolynomial.X_pow_eq_monomial | [
326,
1
] | [
327,
25
] | [{"tactic": "simp [X, monomial_pow]", "annotated_tactic": ["simp [<a>X</a>, <a>monomial_pow</a>]", [{"full_name": "MvPolynomial.X", "def_path": "Mathlib/Data/MvPolynomial/Basic.lean", "def_pos": [193, 5], "def_end_pos": [193, 6]}, {"full_name": "MvPolynomial.monomial_pow", "def_path": "Mathlib/Data/MvPolynomial/Basic.l... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/ModelTheory/Substructures.lean | FirstOrder.Language.Substructure.range_subtype | [
1008,
1
] | [
1013,
11
] | [{"tactic": "ext x", "annotated_tactic": ["ext x", []], "state_before": "L : Language\nM : Type w\nN : Type u_1\nP : Type u_2\ninst\u271d\u00b2 : Structure L M\ninst\u271d\u00b9 : Structure L N\ninst\u271d : Structure L P\nS\u271d S : Substructure L M\n\u22a2 Hom.range (Embedding.toHom (subtype S)) = S", "state_after":... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/CompleteLattice.lean | sSup_univ | [
553,
1
] | [
554,
30
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/UnitInterval.lean | unitInterval.le_one' | [
162,
1
] | [
163,
8
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/FieldTheory/Subfield.lean | Subfield.closure_union | [
779,
1
] | [
780,
27
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/FreeModule/Finite/Rank.lean | FiniteDimensional.finrank_finsupp | [
96,
1
] | [
97,
66
] | [{"tactic": "rw [finrank, rank_finsupp_self, \u2190 mk_toNat_eq_card, toNat_lift]", "annotated_tactic": ["rw [<a>finrank</a>, <a>rank_finsupp_self</a>, \u2190 <a>mk_toNat_eq_card</a>, <a>toNat_lift</a>]", [{"full_name": "FiniteDimensional.finrank", "def_path": "Mathlib/LinearAlgebra/Finrank.lean", "def_pos": [58, 19], ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/WellFoundedSet.lean | Set.IsPwo.isWf | [
447,
11
] | [
448,
56
] | [{"tactic": "simpa only [\u2190 lt_iff_le_not_le] using h.wellFoundedOn", "annotated_tactic": ["simpa only [\u2190 <a>lt_iff_le_not_le</a>] using h.wellFoundedOn", [{"full_name": "lt_iff_le_not_le", "def_path": "Mathlib/Init/Order/Defs.lean", "def_pos": [60, 9], "def_end_pos": [60, 25]}]], "state_before": "\u03b9 : Typ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Category/TopCat/Limits/Pullbacks.lean | TopCat.pullback_snd_range | [
230,
1
] | [
239,
9
] | [{"tactic": "ext y", "annotated_tactic": ["ext y", []], "state_before": "J : Type v\ninst\u271d : SmallCategory J\nX\u271d Y\u271d Z : TopCat\nX Y S : TopCat\nf : X \u27f6 S\ng : Y \u27f6 S\n\u22a2 Set.range \u2191pullback.snd = {y | \u2203 x, \u2191f x = \u2191g y}", "state_after": "case h\nJ : Type v\ninst\u271d : Sm... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Calculus/FDeriv/Mul.lean | HasFDerivAt.mul_const' | [
409,
1
] | [
411,
63
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/PowerSeries/Basic.lean | MvPowerSeries.coeff_index_single_self_X | [
423,
1
] | [
424,
26
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Measure/MeasureSpace.lean | MeasureTheory.Measure.restrict_toMeasurable | [
1795,
1
] | [
1798,
18
] | [{"tactic": "rw [restrict_apply ht, restrict_apply ht, inter_comm, measure_toMeasurable_inter ht h,\n inter_comm]", "annotated_tactic": ["rw [<a>restrict_apply</a> ht, <a>restrict_apply</a> ht, <a>inter_comm</a>, <a>measure_toMeasurable_inter</a> ht h,\n <a>inter_comm</a>]", [{"full_name": "MeasureTheory.Measure.... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/UniqueFactorizationDomain.lean | WfDvdMonoid.exists_factors | [
103,
1
] | [
111,
29
] | [{"tactic": "rw [s.prod_cons i]", "annotated_tactic": ["rw [s.prod_cons i]", []], "state_before": "\u03b1 : Type u_1\ninst\u271d\u00b9 : CommMonoidWithZero \u03b1\ninst\u271d : WfDvdMonoid \u03b1\na\u271d a i : \u03b1\nha0 : a \u2260 0\nhi : Irreducible i\nih : a \u2260 0 \u2192 \u2203 f, (\u2200 (b : \u03b1), b \u2208... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Geometry/Manifold/SmoothManifoldWithCorners.lean | ModelWithCorners.mk_coe | [
207,
1
] | [
209,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Logic/Equiv/Basic.lean | Equiv.isEmpty_congr | [
1135,
1
] | [
1136,
80
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Polynomial/Degree/Definitions.lean | Polynomial.natDegree_mem_support_of_nonzero | [
684,
1
] | [
686,
47
] | [{"tactic": "rw [mem_support_iff]", "annotated_tactic": ["rw [<a>mem_support_iff</a>]", [{"full_name": "Polynomial.mem_support_iff", "def_path": "Mathlib/Data/Polynomial/Basic.lean", "def_pos": [732, 9], "def_end_pos": [732, 24]}]], "state_before": "R : Type u\nS : Type v\na b c d : R\nn m : \u2115\ninst\u271d : Semiri... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Integral/Lebesgue.lean | MeasureTheory.lintegral_eq_zero_iff | [
898,
1
] | [
899,
41
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/Matrix/PosDef.lean | Matrix.PosDef.det_pos | [
145,
1
] | [
154,
63
] | [{"tactic": "rw [hM.isHermitian.det_eq_prod_eigenvalues]", "annotated_tactic": ["rw [hM.isHermitian.det_eq_prod_eigenvalues]", []], "state_before": "m : Type u_1\nn : Type u_2\nR : Type u_3\n\ud835\udd5c : Type u_4\ninst\u271d\u2076 : Fintype m\ninst\u271d\u2075 : Fintype n\ninst\u271d\u2074 : CommRing R\ninst\u271d\u0... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/NumberTheory/PellMatiyasevic.lean | Pell.xy_coprime | [
394,
1
] | [
398,
92
] | [{"tactic": "let p := pell_eq a1 n", "annotated_tactic": ["let p := <a>pell_eq</a> a1 n", [{"full_name": "Pell.pell_eq", "def_path": "Mathlib/NumberTheory/PellMatiyasevic.lean", "def_pos": [240, 9], "def_end_pos": [240, 16]}]], "state_before": "a : \u2115\na1 : 1 < a\nn k : \u2115\nx\u271d : Nat.Prime k\nkx : k \u2223 ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Init/Logic.lean | iff_self_iff | [
207,
1
] | [
207,
75
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/Matrix/Transvection.lean | Matrix.det_transvection_of_ne | [
142,
1
] | [
143,
81
] | [{"tactic": "rw [\u2190 updateRow_eq_transvection i j, det_updateRow_add_smul_self _ h, det_one]", "annotated_tactic": ["rw [\u2190 <a>updateRow_eq_transvection</a> i j, <a>det_updateRow_add_smul_self</a> _ h, <a>det_one</a>]", [{"full_name": "Matrix.updateRow_eq_transvection", "def_path": "Mathlib/LinearAlgebra/Matrix... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/FiberBundle/Trivialization.lean | Pretrivialization.symm_trans_source_eq | [
216,
1
] | [
219,
44
] | [{"tactic": "rw [LocalEquiv.trans_source, e'.source_eq, LocalEquiv.symm_source, e.target_eq, inter_comm,\n e.preimage_symm_proj_inter, inter_comm]", "annotated_tactic": ["rw [<a>LocalEquiv.trans_source</a>, e'.source_eq, <a>LocalEquiv.symm_source</a>, e.target_eq, <a>inter_comm</a>,\n e.preimage_symm_proj_inter, <a... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Filter/Pi.lean | Filter.hasBasis_pi | [
106,
1
] | [
110,
91
] | [{"tactic": "simpa [Set.pi_def] using hasBasis_iInf' fun i => (h i).comap (eval i : (\u2200 j, \u03b1 j) \u2192 \u03b1 i)", "annotated_tactic": ["simpa [<a>Set.pi_def</a>] using <a>hasBasis_iInf'</a> fun i => (h i).<a>comap</a> (<a>eval</a> i : (\u2200 j, \u03b1 j) \u2192 \u03b1 i)", [{"full_name": "Set.pi_def", "def_p... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Int/Cast/Lemmas.lean | Int.cast_one_le_of_pos | [
169,
1
] | [
169,
97
] | [{"tactic": "exact_mod_cast Int.add_one_le_of_lt h", "annotated_tactic": ["exact_mod_cast <a>Int.add_one_le_of_lt</a> h", [{"full_name": "Int.add_one_le_of_lt", "def_path": "lake-packages/std/Std/Data/Int/Lemmas.lean", "def_pos": [1255, 9], "def_end_pos": [1255, 25]}]], "state_before": "F : Type u_1\n\u03b9 : Type u_2\... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Measure/MeasureSpace.lean | MeasureTheory.iUnion_spanningSets | [
3334,
1
] | [
3335,
82
] | [{"tactic": "simp_rw [spanningSets, iUnion_accumulate, \u03bc.toFiniteSpanningSetsIn.spanning]", "annotated_tactic": ["simp_rw [<a>spanningSets</a>, <a>iUnion_accumulate</a>, \u03bc.toFiniteSpanningSetsIn.spanning]", [{"full_name": "MeasureTheory.spanningSets", "def_path": "Mathlib/MeasureTheory/Measure/MeasureSpace.le... |
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