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/SpecialFunctions/Trigonometric/Basic.lean | Complex.cos_pi | [
1132,
1
] | [
1132,
71
] | [{"tactic": "rw [\u2190 ofReal_cos, Real.cos_pi]", "annotated_tactic": ["rw [\u2190 <a>ofReal_cos</a>, <a>Real.cos_pi</a>]", [{"full_name": "Complex.ofReal_cos", "def_path": "Mathlib/Data/Complex/Exponential.lean", "def_pos": [962, 9], "def_end_pos": [962, 19]}, {"full_name": "Real.cos_pi", "def_path": "Mathlib/Analysi... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/SetTheory/Ordinal/FixedPoint.lean | Ordinal.nfp_mul_one | [
613,
1
] | [
622,
13
] | [{"tactic": "rw [\u2190 sup_iterate_eq_nfp, \u2190 sup_opow_nat]", "annotated_tactic": ["rw [\u2190 <a>sup_iterate_eq_nfp</a>, \u2190 <a>sup_opow_nat</a>]", [{"full_name": "Ordinal.sup_iterate_eq_nfp", "def_path": "Mathlib/SetTheory/Ordinal/FixedPoint.lean", "def_pos": [424, 9], "def_end_pos": [424, 27]}, {"full_name":... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Order/Ring/Abs.lean | abs_mul | [
33,
1
] | [
37,
27
] | [{"tactic": "rw [abs_eq (mul_nonneg (abs_nonneg a) (abs_nonneg b))]", "annotated_tactic": ["rw [<a>abs_eq</a> (<a>mul_nonneg</a> (<a>abs_nonneg</a> a) (<a>abs_nonneg</a> b))]", [{"full_name": "abs_eq", "def_path": "Mathlib/Algebra/Order/Group/Abs.lean", "def_pos": [317, 9], "def_end_pos": [317, 15]}, {"full_name": "mul... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Computability/ContextFreeGrammar.lean | ContextFreeRule.rewrites_iff | [
74,
1
] | [
77,
86
] | [{"tactic": "rintro \u27e8p, q, rfl, rfl\u27e9", "annotated_tactic": ["rintro \u27e8p, q, rfl, rfl\u27e9", []], "state_before": "T : Type uT\nN : Type uN\nr : ContextFreeRule T N\nu v : List (Symbol T N)\n\u22a2 (\u2203 p q, u = p ++ [Symbol.nonterminal r.input] ++ q \u2227 v = p ++ r.output ++ q) \u2192 Rewrites r u v... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Computability/Partrec.lean | Computable.cond | [
677,
1
] | [
679,
91
] | [{"tactic": "cases c a <;> rfl", "annotated_tactic": ["cases c a <;> rfl", []], "state_before": "\u03b1 : Type u_1\n\u03b2 : Type u_2\n\u03b3 : Type u_3\n\u03c3 : Type u_4\ninst\u271d\u00b3 : Primcodable \u03b1\ninst\u271d\u00b2 : Primcodable \u03b2\ninst\u271d\u00b9 : Primcodable \u03b3\ninst\u271d : Primcodable \u03c... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/TensorProduct.lean | Algebra.TensorProduct.lid_toLinearEquiv | [
733,
9
] | [
734,
80
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Group/Measure.lean | MeasureTheory.map_mul_left_eq_self | [
84,
1
] | [
86,
44
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/GroupTheory/Subsemigroup/Basic.lean | Subsemigroup.closure_mono | [
339,
1
] | [
340,
48
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Order/Field/Basic.lean | inv_le_one | [
305,
1
] | [
306,
62
] | [{"tactic": "rwa [inv_le (zero_lt_one.trans_le ha) zero_lt_one, inv_one]", "annotated_tactic": ["rwa [<a>inv_le</a> (zero_lt_one.trans_le ha) <a>zero_lt_one</a>, <a>inv_one</a>]", [{"full_name": "inv_le", "def_path": "Mathlib/Algebra/Order/Field/Basic.lean", "def_pos": [262, 9], "def_end_pos": [262, 15]}, {"full_name":... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Matrix/Basic.lean | Matrix.zero_dotProduct | [
754,
1
] | [
754,
61
] | [{"tactic": "simp [dotProduct]", "annotated_tactic": ["simp [<a>dotProduct</a>]", [{"full_name": "Matrix.dotProduct", "def_path": "Mathlib/Data/Matrix/Basic.lean", "def_pos": [705, 5], "def_end_pos": [705, 15]}]], "state_before": "l : Type u_1\nm : Type u_2\nn : Type u_3\no : Type u_4\nm' : o \u2192 Type u_5\nn' : o \u... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/BilinearForm.lean | BilinForm.ext | [
150,
1
] | [
153,
16
] | [{"tactic": "funext", "annotated_tactic": ["funext", []], "state_before": "R : Type u_1\nM : Type u_2\ninst\u271d\u00b9\u2074 : Semiring R\ninst\u271d\u00b9\u00b3 : AddCommMonoid M\ninst\u271d\u00b9\u00b2 : Module R M\nR\u2081 : Type u_3\nM\u2081 : Type u_4\ninst\u271d\u00b9\u00b9 : Ring R\u2081\ninst\u271d\u00b9\u2070... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/List/Basic.lean | List.lookmap_nil | [
3196,
1
] | [
3197,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Basic.lean | lt_iff_lt_of_le_iff_le | [
531,
1
] | [
533,
53
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/EMetricSpace/Basic.lean | EMetric.ball_zero | [
629,
1
] | [
629,
70
] | [{"tactic": "rw [EMetric.ball_eq_empty_iff]", "annotated_tactic": ["rw [<a>EMetric.ball_eq_empty_iff</a>]", [{"full_name": "EMetric.ball_eq_empty_iff", "def_path": "Mathlib/Topology/EMetricSpace/Basic.lean", "def_pos": [604, 9], "def_end_pos": [604, 26]}]], "state_before": "\u03b1 : Type u\n\u03b2 : Type v\nX : Type u_... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/DFinsupp/Basic.lean | DFinsupp.equivFunOnFintype_single | [
735,
1
] | [
739,
52
] | [{"tactic": "ext x", "annotated_tactic": ["ext x", []], "state_before": "\u03b9 : Type u\n\u03b3 : Type w\n\u03b2 : \u03b9 \u2192 Type v\n\u03b2\u2081 : \u03b9 \u2192 Type v\u2081\n\u03b2\u2082 : \u03b9 \u2192 Type v\u2082\ndec : DecidableEq \u03b9\ninst\u271d\u00b9 : (i : \u03b9) \u2192 Zero (\u03b2 i)\ns : Finset \u0... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Intervals/Basic.lean | Set.Ioc_subset_Ioc_iff | [
1152,
1
] | [
1153,
94
] | [{"tactic": "convert @Ico_subset_Ico_iff \u03b1\u1d52\u1d48 _ b\u2081 b\u2082 a\u2081 a\u2082 h\u2081 using 2 <;> exact (@dual_Ico \u03b1 _ _ _).symm", "annotated_tactic": ["convert @<a>Ico_subset_Ico_iff</a> \u03b1\u1d52\u1d48 _ b\u2081 b\u2082 a\u2081 a\u2082 h\u2081 using 2 <;> exact (@<a>dual_Ico</a> \u03b1 _ _ _).... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/LiminfLimsup.lean | Filter.blimsup_eq_iInf_biSup_of_nat | [
841,
1
] | [
846,
68
] | [{"tactic": "simp only [blimsup_eq_limsup_subtype, Function.comp,\n (atTop_basis.comap ((\u2191) : { x | p x } \u2192 \u2115)).limsup_eq_iInf_iSup, iSup_subtype, iSup_and]", "annotated_tactic": ["simp only [<a>blimsup_eq_limsup_subtype</a>, <a>Function.comp</a>,\n (atTop_basis.comap ((\u2191) : { x | p x } \u2192 \... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/MinMax.lean | le_of_max_le_left | [
286,
1
] | [
287,
31
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/SpecialFunctions/Exp.lean | Complex.tendsto_exp_comap_re_atBot_nhdsWithin | [
460,
1
] | [
461,
44
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/SetTheory/Ordinal/Exponential.lean | Ordinal.one_opow | [
82,
1
] | [
90,
94
] | [{"tactic": "induction a using limitRecOn with\n| H\u2081 => simp only [opow_zero]\n| H\u2082 _ ih =>\n simp only [opow_succ, ih, mul_one]\n| H\u2083 b l IH =>\n refine' eq_of_forall_ge_iff fun c => _\n rw [opow_le_of_limit Ordinal.one_ne_zero l]\n exact \u27e8fun H => by simpa only [opow_zero] using H 0 l.pos, fun... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/AlgebraicTopology/FundamentalGroupoid/Product.lean | FundamentalGroupoidFunctor.proj_map | [
52,
1
] | [
54,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Tactic/LinearCombination.lean | Mathlib.Tactic.LinearCombination.eq_of_add | [
111,
1
] | [
112,
55
] | [{"tactic": "rw [\u2190 sub_eq_zero] at p \u22a2", "annotated_tactic": ["rw [\u2190 <a>sub_eq_zero</a>] at p \u22a2", [{"full_name": "sub_eq_zero", "def_path": "Mathlib/Algebra/Group/Basic.lean", "def_pos": [801, 3], "def_end_pos": [801, 14]}]], "state_before": "\u03b1 : Type u_1\na b a' b' : \u03b1\ninst\u271d : AddGr... |
https://github.com/leanprover/std4 | 869c615eb10130c0637a7bc038e2b80253559913 | lake-packages/std/Std/Data/Nat/Lemmas.lean | Nat.succ_add_eq_succ_add | [
282,
1
] | [
283,
28
] | [{"tactic": "simp [succ_add, add_succ]", "annotated_tactic": ["simp [<a>succ_add</a>, <a>add_succ</a>]", [{"full_name": "Nat.succ_add", "def_path": "lake-packages/lean4/src/lean/Init/Data/Nat/Basic.lean", "def_pos": [118, 9], "def_end_pos": [118, 17]}, {"full_name": "Nat.add_succ", "def_path": "lake-packages/lean4/src/... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/IsROrC/Basic.lean | IsROrC.intCast_im | [
680,
1
] | [
680,
83
] | [{"tactic": "rw [\u2190 ofReal_intCast, ofReal_im]", "annotated_tactic": ["rw [\u2190 <a>ofReal_intCast</a>, <a>ofReal_im</a>]", [{"full_name": "IsROrC.ofReal_intCast", "def_path": "Mathlib/Data/IsROrC/Basic.lean", "def_pos": [671, 9], "def_end_pos": [671, 23]}, {"full_name": "IsROrC.ofReal_im", "def_path": "Mathlib/Da... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Function/L2Space.lean | MeasureTheory.L2.inner_indicatorConstLp_eq_inner_set_integral | [
263,
1
] | [
267,
53
] | [{"tactic": "rw [\u2190 integral_inner (integrableOn_Lp_of_measure_ne_top f fact_one_le_two_ennreal.elim h\u03bcs),\n L2.inner_indicatorConstLp_eq_set_integral_inner]", "annotated_tactic": ["rw [\u2190 <a>integral_inner</a> (<a>integrableOn_Lp_of_measure_ne_top</a> f fact_one_le_two_ennreal.elim h\u03bcs),\n <a>L2.... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Function/L1Space.lean | MeasureTheory.Integrable.mul_const | [
1138,
1
] | [
1140,
28
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/GroupTheory/Submonoid/Operations.lean | Submonoid.coe_equivMapOfInjective_apply | [
821,
1
] | [
823,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/TensorProduct.lean | TensorProduct.rid_symm_apply | [
720,
1
] | [
721,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/CliffordAlgebra/Grading.lean | CliffordAlgebra.odd_induction | [
249,
1
] | [
262,
13
] | [{"tactic": "refine' evenOdd_induction Q 1 (fun \u03b9v => _) (@hadd) h\u03b9\u03b9_mul x hx", "annotated_tactic": ["refine' <a>evenOdd_induction</a> Q 1 (fun \u03b9v => _) (@hadd) h\u03b9\u03b9_mul x hx", [{"full_name": "CliffordAlgebra.evenOdd_induction", "def_path": "Mathlib/LinearAlgebra/CliffordAlgebra/Grading.lea... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/NormedSpace/OperatorNorm.lean | ContinuousLinearMap.bounds_nonempty | [
133,
1
] | [
136,
25
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Group/Basic.lean | div_div_cancel_left | [
934,
1
] | [
934,
67
] | [{"tactic": "simp", "annotated_tactic": ["simp", []], "state_before": "\u03b1 : Type u_1\n\u03b2 : Type u_2\nG : Type u_3\ninst\u271d : CommGroup G\na\u271d b\u271d c d a b : G\n\u22a2 a / b / a = b\u207b\u00b9", "state_after": "no goals"}] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Sets/Opens.lean | TopologicalSpace.OpenNhdsOf.toOpens_injective | [
431,
1
] | [
432,
31
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Abelian/NonPreadditive.lean | CategoryTheory.NonPreadditiveAbelian.add_neg_self | [
399,
1
] | [
399,
85
] | [{"tactic": "rw [add_neg, sub_self]", "annotated_tactic": ["rw [<a>add_neg</a>, <a>sub_self</a>]", [{"full_name": "CategoryTheory.NonPreadditiveAbelian.add_neg", "def_path": "Mathlib/CategoryTheory/Abelian/NonPreadditive.lean", "def_pos": [396, 9], "def_end_pos": [396, 16]}, {"full_name": "CategoryTheory.NonPreadditive... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/BigOperators/NatAntidiagonal.lean | Finset.Nat.prod_antidiagonal_subst | [
54,
1
] | [
56,
62
] | [{"tactic": "rw [Nat.mem_antidiagonal.1 hp]", "annotated_tactic": ["rw [<a>Nat.mem_antidiagonal</a>.1 hp]", [{"full_name": "Finset.Nat.mem_antidiagonal", "def_path": "Mathlib/Data/Finset/NatAntidiagonal.lean", "def_pos": [37, 9], "def_end_pos": [37, 25]}]], "state_before": "M : Type u_1\nN : Type u_2\ninst\u271d\u00b9 ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/UniformSpace/Basic.lean | ball_mono | [
640,
1
] | [
641,
18
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Polynomial/AlgebraMap.lean | Polynomial.aeval_zero | [
192,
1
] | [
193,
28
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Function/EssSup.lean | ae_lt_of_essSup_lt | [
98,
1
] | [
101,
35
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/List/Basic.lean | List.foldl_map' | [
2397,
1
] | [
2402,
16
] | [{"tactic": "induction l generalizing a", "annotated_tactic": ["induction l generalizing a", []], "state_before": "\u03b9 : Type u_1\n\u03b1\u271d : Type u\n\u03b2\u271d : Type v\n\u03b3 : Type w\nl\u2081 l\u2082 : List \u03b1\u271d\n\u03b1 \u03b2 : Type u\ng : \u03b1 \u2192 \u03b2\nf : \u03b1 \u2192 \u03b1 \u2192 \u03... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Normed/Group/Seminorm.lean | GroupSeminorm.toFun_eq_coe | [
205,
1
] | [
206,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Category/ModuleCat/Basic.lean | ModuleCat.forget₂_obj | [
143,
1
] | [
145,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/UniformSpace/Completion.lean | UniformSpace.Completion.denseInducing_coe | [
461,
1
] | [
462,
68
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Ring/Pi.lean | Pi.nonUnitalRingHom_injective | [
105,
1
] | [
108,
48
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/MetricSpace/Basic.lean | Metric.exists_isOpen_isBounded_image_of_isCompact_of_forall_continuousAt | [
2558,
1
] | [
2563,
88
] | [{"tactic": "simp_rw [\u2190 continuousWithinAt_univ] at hf", "annotated_tactic": ["simp_rw [\u2190 <a>continuousWithinAt_univ</a>] at hf", [{"full_name": "continuousWithinAt_univ", "def_path": "Mathlib/Topology/ContinuousOn.lean", "def_pos": [541, 9], "def_end_pos": [541, 32]}]], "state_before": "\u03b1 : Type u\n\u03... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Connected/Basic.lean | IsPreconnected.subset_clopen | [
441,
1
] | [
443,
94
] | [{"tactic": "simp", "annotated_tactic": ["simp", []], "state_before": "\u03b1 : Type u\n\u03b2 : Type v\n\u03b9 : Type u_1\n\u03c0 : \u03b9 \u2192 Type u_2\ninst\u271d : TopologicalSpace \u03b1\ns\u271d t\u271d u v s t : Set \u03b1\nhs : IsPreconnected s\nht : IsClopen t\nhne : Set.Nonempty (s \u2229 t)\n\u22a2 s \u228... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/Basis.lean | Basis.ext' | [
282,
1
] | [
285,
49
] | [{"tactic": "ext x", "annotated_tactic": ["ext x", []], "state_before": "\u03b9 : Type u_1\n\u03b9' : Type u_2\nR : Type u_3\nR\u2082 : Type u_4\nK : Type u_5\nM : Type u_6\nM' : Type u_7\nM'' : Type u_8\nV : Type u\nV' : Type u_9\ninst\u271d\u2079 : Semiring R\ninst\u271d\u2078 : AddCommMonoid M\ninst\u271d\u2077 : Mo... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/MetricSpace/Basic.lean | NNReal.le_add_nndist | [
1716,
1
] | [
1720,
38
] | [{"tactic": "suffices (a : \u211d) \u2264 (b : \u211d) + dist a b by\n rwa [\u2190 NNReal.coe_le_coe, NNReal.coe_add, coe_nndist]", "annotated_tactic": ["suffices (a : \u211d) \u2264 (b : \u211d) + <a>dist</a> a b by\n rwa [\u2190 <a>NNReal.coe_le_coe</a>, <a>NNReal.coe_add</a>, <a>coe_nndist</a>]", [{"full_name": ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/W/Basic.lean | WType.toSigma_ofSigma | [
66,
1
] | [
67,
18
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Combinatorics/Composition.lean | Composition.sigma_eq_iff_blocks_eq | [
471,
1
] | [
480,
10
] | [{"tactic": "refine' \u27e8fun H => by rw [H], fun H => _\u27e9", "annotated_tactic": ["refine' \u27e8fun H => by rw [H], fun H => _\u27e9", []], "state_before": "n : \u2115\nc\u271d : Composition n\nc c' : (n : \u2115) \u00d7 Composition n\n\u22a2 c = c' \u2194 c.snd.blocks = c'.snd.blocks", "state_after": "n : \u2115... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/FieldTheory/RatFunc.lean | RatFunc.liftOn'_div | [
1008,
1
] | [
1012,
48
] | [{"tactic": "rw [RatFunc.liftOn', liftOn_div _ _ _ f0]", "annotated_tactic": ["rw [<a>RatFunc.liftOn'</a>, <a>liftOn_div</a> _ _ _ f0]", [{"full_name": "RatFunc.liftOn'", "def_path": "Mathlib/FieldTheory/RatFunc.lean", "def_pos": [263, 27], "def_end_pos": [263, 34]}, {"full_name": "RatFunc.liftOn_div", "def_path": "Mat... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Module/Submodule/Pointwise.lean | Submodule.pointwise_smul_toAddSubgroup | [
217,
1
] | [
220,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Logic/IsEmpty.lean | isEmpty_prod | [
172,
1
] | [
173,
60
] | [{"tactic": "simp only [\u2190 not_nonempty_iff, nonempty_prod, not_and_or]", "annotated_tactic": ["simp only [\u2190 <a>not_nonempty_iff</a>, <a>nonempty_prod</a>, <a>not_and_or</a>]", [{"full_name": "not_nonempty_iff", "def_path": "Mathlib/Logic/IsEmpty.lean", "def_pos": [137, 9], "def_end_pos": [137, 25]}, {"full_na... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Constructions/Prod/Basic.lean | MeasureTheory.Measure.AbsolutelyContinuous.prod | [
446,
1
] | [
450,
56
] | [{"tactic": "refine' AbsolutelyContinuous.mk fun s hs h2s => _", "annotated_tactic": ["refine' <a>AbsolutelyContinuous.mk</a> fun s hs h2s => _", [{"full_name": "MeasureTheory.Measure.AbsolutelyContinuous.mk", "def_path": "Mathlib/MeasureTheory/Measure/MeasureSpace.lean", "def_pos": [2135, 9], "def_end_pos": [2135, 11]... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Functor/Category.lean | CategoryTheory.NatTrans.comp_app | [
76,
1
] | [
77,
45
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Integral/Periodic.lean | UnitAddCircle.measurePreserving_mk | [
205,
11
] | [
208,
37
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/CompleteLattice.lean | disjoint_sSup_right | [
2028,
1
] | [
2030,
91
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Calculus/FDeriv/Basic.lean | fderiv_eq | [
579,
1
] | [
580,
31
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Measure/FiniteMeasure.lean | MeasureTheory.FiniteMeasure.coeFn_add | [
245,
1
] | [
249,
12
] | [{"tactic": "funext", "annotated_tactic": ["funext", []], "state_before": "\u03a9 : Type u_1\ninst\u271d\u2074 : MeasurableSpace \u03a9\nR : Type u_2\ninst\u271d\u00b3 : SMul R \u211d\u22650\ninst\u271d\u00b2 : SMul R \u211d\u22650\u221e\ninst\u271d\u00b9 : IsScalarTower R \u211d\u22650 \u211d\u22650\u221e\ninst\u271d ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/SpecialFunctions/Pow/Complex.lean | Complex.conj_cpow | [
206,
1
] | [
207,
35
] | [{"tactic": "rw [conj_cpow_eq_ite, if_neg hx]", "annotated_tactic": ["rw [<a>conj_cpow_eq_ite</a>, <a>if_neg</a> hx]", [{"full_name": "Complex.conj_cpow_eq_ite", "def_path": "Mathlib/Analysis/SpecialFunctions/Pow/Complex.lean", "def_pos": [199, 9], "def_end_pos": [199, 25]}, {"full_name": "if_neg", "def_path": "lake-pa... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Disjoint.lean | Complementeds.codisjoint_coe | [
788,
1
] | [
789,
69
] | [{"tactic": "rw [codisjoint_iff, codisjoint_iff, \u2190 coe_sup, \u2190 coe_top, coe_inj]", "annotated_tactic": ["rw [<a>codisjoint_iff</a>, <a>codisjoint_iff</a>, \u2190 <a>coe_sup</a>, \u2190 <a>coe_top</a>, <a>coe_inj</a>]", [{"full_name": "codisjoint_iff", "def_path": "Mathlib/Order/Disjoint.lean", "def_pos": [310,... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/List/Basic.lean | List.nthLe_drop' | [
2167,
1
] | [
2169,
15
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/NumberTheory/ClassNumber/AdmissibleAbsoluteValue.lean | AbsoluteValue.IsAdmissible.exists_approx_aux | [
74,
1
] | [
120,
14
] | [{"tactic": "haveI := Classical.decEq R", "annotated_tactic": ["haveI := <a>Classical.decEq</a> R", [{"full_name": "Classical.decEq", "def_path": "Mathlib/Logic/Basic.lean", "def_pos": [983, 19], "def_end_pos": [983, 24]}]], "state_before": "R : Type u_1\ninst\u271d : EuclideanDomain R\nabv : AbsoluteValue R \u2124\nn ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/SpecialFunctions/Pow/NNReal.lean | ENNReal.rpow_lt_rpow_iff | [
654,
1
] | [
655,
40
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Intervals/Basic.lean | Set.Ioo_union_Ico_eq_Ioo | [
1518,
1
] | [
1521,
29
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Deprecated/Submonoid.lean | powers.self_mem | [
142,
1
] | [
143,
17
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Order/Basic.lean | isOpen_lt' | [
889,
1
] | [
890,
60
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Measure/Hausdorff.lean | MeasureTheory.Measure.noAtoms_hausdorff | [
656,
1
] | [
662,
14
] | [{"tactic": "refine' \u27e8fun x => _\u27e9", "annotated_tactic": ["refine' \u27e8fun x => _\u27e9", []], "state_before": "\u03b9 : Type u_1\nX : Type u_2\nY : Type u_3\ninst\u271d\u00b3 : EMetricSpace X\ninst\u271d\u00b2 : EMetricSpace Y\ninst\u271d\u00b9 : MeasurableSpace X\ninst\u271d : BorelSpace X\nd : \u211d\nhd ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Setoid/Basic.lean | Setoid.ker_iff_mem_preimage | [
286,
1
] | [
287,
10
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/Matrix/NonsingularInverse.lean | Matrix.inv_adjugate | [
490,
1
] | [
492,
82
] | [{"tactic": "refine' inv_eq_left_inv _", "annotated_tactic": ["refine' <a>inv_eq_left_inv</a> _", [{"full_name": "Matrix.inv_eq_left_inv", "def_path": "Mathlib/LinearAlgebra/Matrix/NonsingularInverse.lean", "def_pos": [425, 9], "def_end_pos": [425, 24]}]], "state_before": "l : Type u_1\nm : Type u\nn : Type u'\n\u03b1 ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Group/Arithmetic.lean | measurable_div_const' | [
189,
1
] | [
190,
93
] | [{"tactic": "simp_rw [div_eq_mul_inv, measurable_mul_const]", "annotated_tactic": ["simp_rw [<a>div_eq_mul_inv</a>, <a>measurable_mul_const</a>]", [{"full_name": "div_eq_mul_inv", "def_path": "Mathlib/Algebra/Group/Defs.lean", "def_pos": [977, 9], "def_end_pos": [977, 23]}, {"full_name": "MeasurableMul.measurable_mul_c... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Matrix/Basic.lean | Matrix.single_vecMul | [
1787,
1
] | [
1789,
42
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/SpecialFunctions/Pow/Real.lean | Real.sqrt_eq_rpow | [
717,
1
] | [
723,
88
] | [{"tactic": "obtain h | h := le_or_lt 0 x", "annotated_tactic": ["obtain h | h := <a>le_or_lt</a> 0 x", [{"full_name": "le_or_lt", "def_path": "Mathlib/Init/Order/Defs.lean", "def_pos": [340, 9], "def_end_pos": [340, 17]}]], "state_before": "z x\u271d y x : \u211d\n\u22a2 sqrt x = x ^ (1 / 2)", "state_after": "case inl... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Function/LpSpace/DomAct/Basic.lean | DomMulAct.edist_smul_Lp | [
103,
1
] | [
104,
42
] | [{"tactic": "simp only [Lp.edist_dist, dist_smul_Lp]", "annotated_tactic": ["simp only [<a>Lp.edist_dist</a>, <a>dist_smul_Lp</a>]", [{"full_name": "MeasureTheory.Lp.edist_dist", "def_path": "Mathlib/MeasureTheory/Function/LpSpace.lean", "def_pos": [300, 19], "def_end_pos": [300, 29]}, {"full_name": "DomMulAct.dist_smu... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Group/Prod.lean | MulEquiv.prodProdProdComm_symm | [
728,
1
] | [
729,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/List/Basic.lean | List.drop_left' | [
2092,
1
] | [
2093,
28
] | [{"tactic": "rw [\u2190 h]", "annotated_tactic": ["rw [\u2190 h]", []], "state_before": "\u03b9 : Type u_1\n\u03b1 : Type u\n\u03b2 : Type v\n\u03b3 : Type w\nl\u2081\u271d l\u2082\u271d l\u2081 l\u2082 : List \u03b1\nn : \u2115\nh : length l\u2081 = n\n\u22a2 drop n (l\u2081 ++ l\u2082) = l\u2082", "state_after": "\u0... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Nat/Size.lean | Nat.size_eq_bits_len | [
162,
1
] | [
166,
28
] | [{"tactic": "induction' n using Nat.binaryRec' with b n h ih", "annotated_tactic": ["induction' n using <a>Nat.binaryRec'</a> with b n h ih", [{"full_name": "Nat.binaryRec'", "def_path": "Mathlib/Data/Nat/Bits.lean", "def_pos": [189, 5], "def_end_pos": [189, 15]}]], "state_before": "n : \u2115\n\u22a2 List.length (bits... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Semicontinuous.lean | lowerSemicontinuous_sum | [
536,
1
] | [
538,
59
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Basic.lean | Filter.EventuallyEq.eq_of_nhds | [
1004,
1
] | [
1005,
17
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/Int/Basic.lean | Int.associated_iff | [
376,
1
] | [
378,
33
] | [{"tactic": "rw [Int.associated_iff_natAbs]", "annotated_tactic": ["rw [<a>Int.associated_iff_natAbs</a>]", [{"full_name": "Int.associated_iff_natAbs", "def_path": "Mathlib/RingTheory/Int/Basic.lean", "def_pos": [370, 9], "def_end_pos": [370, 34]}]], "state_before": "a b : \u2124\n\u22a2 Associated a b \u2194 a = b \u2... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/MeasurableSpace/Defs.lean | MeasurableSpace.measurableSet_inf | [
484,
1
] | [
486,
10
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/Polynomial/Tower.lean | Polynomial.aeval_map_algebraMap | [
40,
1
] | [
41,
74
] | [{"tactic": "rw [aeval_def, aeval_def, eval\u2082_map, IsScalarTower.algebraMap_eq R A B]", "annotated_tactic": ["rw [<a>aeval_def</a>, <a>aeval_def</a>, <a>eval\u2082_map</a>, <a>IsScalarTower.algebraMap_eq</a> R A B]", [{"full_name": "Polynomial.aeval_def", "def_path": "Mathlib/Data/Polynomial/AlgebraMap.lean", "def_... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Distribution/SchwartzSpace.lean | SchwartzMap.le_seminorm' | [
482,
1
] | [
485,
72
] | [{"tactic": "have := le_seminorm \ud835\udd5c k n f x", "annotated_tactic": ["have := <a>le_seminorm</a> \ud835\udd5c k n f x", [{"full_name": "SchwartzMap.le_seminorm", "def_path": "Mathlib/Analysis/Distribution/SchwartzSpace.lean", "def_pos": [474, 9], "def_end_pos": [474, 20]}]], "state_before": "\ud835\udd5c : Type... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Sigma.lean | Set.sigma_union | [
137,
1
] | [
138,
26
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/OmegaCompletePartialOrder.lean | OmegaCompletePartialOrder.ContinuousHom.monotone | [
661,
11
] | [
662,
14
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Algebra/Monoid.lean | Filter.TendstoNhdsWithinIio.const_mul | [
174,
1
] | [
178,
75
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Prod.lean | Set.insert_pi | [
778,
1
] | [
781,
32
] | [{"tactic": "ext", "annotated_tactic": ["ext", []], "state_before": "\u03b9 : Type u_1\n\u03b1 : \u03b9 \u2192 Type u_2\n\u03b2 : \u03b9 \u2192 Type u_3\ns\u271d s\u2081 s\u2082 : Set \u03b9\nt\u271d t\u2081 t\u2082 : (i : \u03b9) \u2192 Set (\u03b1 i)\ni\u271d i : \u03b9\ns : Set \u03b9\nt : (i : \u03b9) \u2192 Set (\... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/MetricSpace/MetricSeparated.lean | IsMetricSeparated.disjoint | [
55,
11
] | [
57,
77
] | [{"tactic": "simpa using hr x hx1 x hx2", "annotated_tactic": ["simpa using hr x hx1 x hx2", []], "state_before": "X : Type u_1\ninst\u271d : EMetricSpace X\ns t : Set X\nx\u271d y : X\nh : IsMetricSeparated s t\nr : ENNReal\nr0 : r \u2260 0\nhr : \u2200 (x : X), x \u2208 s \u2192 \u2200 (y : X), y \u2208 t \u2192 r \u... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Sets/Compacts.lean | TopologicalSpace.PositiveCompacts.coe_mk | [
352,
1
] | [
353,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Polynomial/RingDivision.lean | Polynomial.count_map_roots | [
1278,
1
] | [
1289,
68
] | [{"tactic": "rw [le_rootMultiplicity_iff hmap, \u2190 Multiset.prod_replicate, \u2190\n Multiset.map_replicate fun a => X - C a]", "annotated_tactic": ["rw [<a>le_rootMultiplicity_iff</a> hmap, \u2190 <a>Multiset.prod_replicate</a>, \u2190\n <a>Multiset.map_replicate</a> fun a => <a>X</a> - <a>C</a> a]", [{"full_na... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/Matrix/Circulant.lean | Matrix.Fin.circulant_inj | [
76,
1
] | [
77,
37
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Ordmap/Ordset.lean | Ordnode.splitMax_eq | [
613,
1
] | [
616,
96
] | [{"tactic": "rw [splitMax', splitMax_eq ls ll lx lr, findMax', eraseMax]", "annotated_tactic": ["rw [<a>splitMax'</a>, splitMax_eq ls ll lx lr, <a>findMax'</a>, <a>eraseMax</a>]", [{"full_name": "Ordnode.splitMax'", "def_path": "Mathlib/Data/Ordmap/Ordnode.lean", "def_pos": [477, 5], "def_end_pos": [477, 14]}, {"full_n... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/ModelTheory/Semantics.lean | FirstOrder.Language.ElementarilyEquivalent.completeTheory_eq | [
1174,
1
] | [
1175,
4
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Bases.lean | isTopologicalBasis_singletons | [
566,
1
] | [
569,
64
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Init/Order/Defs.lean | le_trans | [
56,
1
] | [
57,
26
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Countable/Defs.lean | Function.Injective.countable | [
48,
11
] | [
51,
24
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/IsTensorProduct.lean | IsBaseChange.lift_comp | [
194,
1
] | [
195,
30
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Probability/Process/Filtration.lean | MeasureTheory.Filtration.le | [
64,
11
] | [
65,
10
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Card.lean | Set.encard_preimage_of_injective_subset_range | [
409,
1
] | [
411,
88
] | [{"tactic": "rw [\u2190hf.encard_image, image_preimage_eq_inter_range, inter_eq_self_of_subset_left ht]", "annotated_tactic": ["rw [\u2190hf.encard_image, <a>image_preimage_eq_inter_range</a>, <a>inter_eq_self_of_subset_left</a> ht]", [{"full_name": "Set.image_preimage_eq_inter_range", "def_path": "Mathlib/Data/Set/Ima... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Algebra/Nonarchimedean/Bases.lean | RingSubgroupsBasis.of_comm | [
55,
1
] | [
66,
34
] | [{"tactic": "intro x i", "annotated_tactic": ["intro x i", []], "state_before": "A\u271d : Type u_1\n\u03b9\u271d : Type u_2\ninst\u271d\u00b9 : Ring A\u271d\nA : Type u_3\n\u03b9 : Type u_4\ninst\u271d : CommRing A\nB : \u03b9 \u2192 AddSubgroup A\ninter : \u2200 (i j : \u03b9), \u2203 k, B k \u2264 B i \u2293 B j\nmu... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Order/Monoid/Lemmas.lean | StrictMono.const_mul' | [
1392,
1
] | [
1393,
43
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Convex/Between.lean | wbtw_zero_one_iff | [
443,
1
] | [
446,
7
] | [{"tactic": "rw [Wbtw, affineSegment, Set.mem_image]", "annotated_tactic": ["rw [<a>Wbtw</a>, <a>affineSegment</a>, <a>Set.mem_image</a>]", [{"full_name": "Wbtw", "def_path": "Mathlib/Analysis/Convex/Between.lean", "def_pos": [144, 5], "def_end_pos": [144, 9]}, {"full_name": "affineSegment", "def_path": "Mathlib/Analys... |
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