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/NumberTheory/LegendreSymbol/ZModChar.lean | ZMod.isQuadratic_χ₈ | [
142,
1
] | [
146,
19
] | [{"tactic": "intro a", "annotated_tactic": ["intro a", []], "state_before": "\u22a2 MulChar.IsQuadratic \u03c7\u2088", "state_after": "a : ZMod 8\n\u22a2 \u2191\u03c7\u2088 a = 0 \u2228 \u2191\u03c7\u2088 a = 1 \u2228 \u2191\u03c7\u2088 a = -1"}, {"tactic": "fin_cases a", "annotated_tactic": ["fin_cases a", []], "state... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/Valuation/ValuationSubring.lean | ValuationSubring.ofPrime_valuation_eq_one_iff_mem_primeCompl | [
332,
1
] | [
334,
95
] | [{"tactic": "rw [\u2190 IsLocalization.AtPrime.isUnit_to_map_iff (A.ofPrime P) P x, valuation_eq_one_iff]", "annotated_tactic": ["rw [\u2190 <a>IsLocalization.AtPrime.isUnit_to_map_iff</a> (A.ofPrime P) P x, <a>valuation_eq_one_iff</a>]", [{"full_name": "IsLocalization.AtPrime.isUnit_to_map_iff", "def_path": "Mathlib/R... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/SpecialFunctions/Stirling.lean | Stirling.log_stirlingSeq_diff_hasSum | [
79,
1
] | [
98,
9
] | [{"tactic": "change HasSum\n ((fun b : \u2115 => (1:\u211d) / ((2:\u211d) * b + (1:\u211d)) * (((1:\u211d) / (2 * \u2191(m + 1) + 1)) ^ 2) ^ b) \u2218 succ) _", "annotated_tactic": ["change <a>HasSum</a>\n ((fun b : \u2115 => (1:\u211d) / ((2:\u211d) * b + (1:\u211d)) * (((1:\u211d) / (2 * \u2191(m + 1) + 1)) ^ 2) ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Calculus/FDeriv/Basic.lean | HasFDerivWithinAt.union | [
505,
1
] | [
508,
18
] | [{"tactic": "simp only [HasFDerivWithinAt, nhdsWithin_union]", "annotated_tactic": ["simp only [<a>HasFDerivWithinAt</a>, <a>nhdsWithin_union</a>]", [{"full_name": "HasFDerivWithinAt", "def_path": "Mathlib/Analysis/Calculus/FDeriv/Basic.lean", "def_pos": [150, 5], "def_end_pos": [150, 22]}, {"full_name": "nhdsWithin_un... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/CharP/ExpChar.lean | expChar_one_iff_char_zero | [
83,
1
] | [
88,
39
] | [{"tactic": "constructor", "annotated_tactic": ["constructor", []], "state_before": "R : Type u\ninst\u271d\u00b3 : Semiring R\ninst\u271d\u00b2 : Nontrivial R\np q : \u2115\ninst\u271d\u00b9 : CharP R p\ninst\u271d : ExpChar R q\n\u22a2 q = 1 \u2194 p = 0", "state_after": "case mp\nR : Type u\ninst\u271d\u00b3 : Semir... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Lie/Basic.lean | LieHom.map_smul | [
329,
1
] | [
330,
43
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Asymptotics/Asymptotics.lean | Asymptotics.IsLittleO.isBigO | [
221,
1
] | [
222,
24
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Algebra/Group/Basic.lean | ContinuousAt.inv | [
245,
1
] | [
246,
27
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Normed/Group/Seminorm.lean | NonarchAddGroupNorm.apply_one | [
971,
1
] | [
973,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Card.lean | Set.encard_ne_top_iff | [
139,
1
] | [
140,
7
] | [{"tactic": "simp", "annotated_tactic": ["simp", []], "state_before": "\u03b1 : Type u_1\ns t : Set \u03b1\n\u22a2 encard s \u2260 \u22a4 \u2194 Set.Finite s", "state_after": "no goals"}] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/BigOperators/Option.lean | Finset.mul_prod_eq_prod_insertNone | [
33,
1
] | [
35,
49
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/NumberTheory/Zsqrtd/Basic.lean | Zsqrtd.mker_norm_eq_unitary | [
1084,
1
] | [
1085,
53
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Lie/Solvable.lean | LieAlgebra.solvable_iff_equiv_solvable | [
249,
1
] | [
252,
44
] | [{"tactic": "constructor <;> intro h", "annotated_tactic": ["constructor <;> intro h", []], "state_before": "R : Type u\nL : Type v\nM : Type w\nL' : Type w\u2081\ninst\u271d\u2074 : CommRing R\ninst\u271d\u00b3 : LieRing L\ninst\u271d\u00b2 : LieAlgebra R L\ninst\u271d\u00b9 : LieRing L'\ninst\u271d : LieAlgebra R L'\... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Cover.lean | Wcovby.of_image | [
119,
1
] | [
120,
90
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/GroupPower/Lemmas.lean | mul_bit1 | [
574,
1
] | [
576,
34
] | [{"tactic": "dsimp [bit1]", "annotated_tactic": ["dsimp [<a>bit1</a>]", [{"full_name": "bit1", "def_path": "Mathlib/Init/ZeroOne.lean", "def_pos": [39, 34], "def_end_pos": [39, 38]}]], "state_before": "\u03b1 : Type u_1\nM : Type u\nN : Type v\nG : Type w\nH : Type x\nA : Type y\nB : Type z\nR : Type u\u2081\nS : Type ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/ZMod/Basic.lean | ZMod.neg_val | [
919,
1
] | [
926,
38
] | [{"tactic": "rw [neg_val']", "annotated_tactic": ["rw [<a>neg_val'</a>]", [{"full_name": "ZMod.neg_val'", "def_path": "Mathlib/Data/ZMod/Basic.lean", "def_pos": [909, 9], "def_end_pos": [909, 17]}]], "state_before": "n : \u2115\ninst\u271d : NeZero n\na : ZMod n\n\u22a2 val (-a) = if a = 0 then 0 else n - val a", "stat... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Sups.lean | Set.mem_infs | [
241,
1
] | [
241,
80
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/MinMax.lean | min_choice | [
279,
1
] | [
279,
95
] | [{"tactic": "cases le_total a b <;> simp [*]", "annotated_tactic": ["cases <a>le_total</a> a b <;> simp [*]", [{"full_name": "le_total", "def_path": "Mathlib/Init/Order/Defs.lean", "def_pos": [295, 9], "def_end_pos": [295, 17]}]], "state_before": "\u03b1 : Type u\n\u03b2 : Type v\ninst\u271d\u00b9 : LinearOrder \u03b1\... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Module/LinearMap.lean | LinearMap.comp_assoc | [
568,
1
] | [
574,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/AddTorsor.lean | Equiv.pointReflection_self | [
472,
1
] | [
473,
16
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/RootsOfUnity/Basic.lean | rootsOfUnity_le_of_dvd | [
119,
1
] | [
122,
67
] | [{"tactic": "obtain \u27e8d, rfl\u27e9 := h", "annotated_tactic": ["obtain \u27e8d, rfl\u27e9 := h", []], "state_before": "M : Type u_1\nN : Type u_2\nG : Type u_3\nR : Type u_4\nS : Type u_5\nF : Type u_6\ninst\u271d\u00b2 : CommMonoid M\ninst\u271d\u00b9 : CommMonoid N\ninst\u271d : DivisionCommMonoid G\nk l : \u2115... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Fintype/Card.lean | Fintype.card_subtype_compl | [
871,
1
] | [
878,
69
] | [{"tactic": "intro", "annotated_tactic": ["intro", []], "state_before": "case H\n\u03b1 : Type u_1\n\u03b2 : Type u_2\n\u03b3 : Type u_3\ninst\u271d\u00b2 : Fintype \u03b1\np : \u03b1 \u2192 Prop\ninst\u271d\u00b9 : Fintype { x // p x }\ninst\u271d : Fintype { x // \u00acp x }\n\u22a2 \u2200 (x : \u03b1), x \u2208 Set.... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Finset/Basic.lean | Finset.eq_empty_or_nonempty | [
613,
1
] | [
614,
59
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Prod.lean | Set.Disjoint.set_prod_right | [
201,
1
] | [
203,
79
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/BoxIntegral/Partition/Filter.lean | BoxIntegral.IntegrationParams.MemBaseSet.exists_common_compl | [
371,
1
] | [
382,
50
] | [{"tactic": "wlog hc : c\u2081 \u2264 c\u2082 with H", "annotated_tactic": ["wlog hc : c\u2081 \u2264 c\u2082 with H", []], "state_before": "\u03b9 : Type u_1\ninst\u271d : Fintype \u03b9\nI J : Box \u03b9\nc c\u2081 c\u2082 : \u211d\u22650\nr r\u2081 r\u2082 : (\u03b9 \u2192 \u211d) \u2192 \u2191(Set.Ioi 0)\n\u03c0 \u... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Lattice.lean | Set.iInter₂_comm | [
915,
1
] | [
917,
15
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/GroupTheory/PGroup.lean | IsPGroup.of_card | [
48,
1
] | [
49,
37
] | [{"tactic": "rw [\u2190 hG, pow_card_eq_one]", "annotated_tactic": ["rw [\u2190 hG, <a>pow_card_eq_one</a>]", [{"full_name": "pow_card_eq_one", "def_path": "Mathlib/GroupTheory/OrderOfElement.lean", "def_pos": [980, 9], "def_end_pos": [980, 24]}]], "state_before": "p : \u2115\nG : Type u_1\ninst\u271d\u00b9 : Group G\n... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Group/Arithmetic.lean | Measurable.div_const | [
313,
1
] | [
315,
49
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Function/SimpleFunc.lean | MeasureTheory.SimpleFunc.finMeasSupp_iff | [
1174,
1
] | [
1181,
58
] | [{"tactic": "constructor", "annotated_tactic": ["constructor", []], "state_before": "\u03b1 : Type u_1\n\u03b2 : Type u_2\n\u03b3 : Type u_3\n\u03b4 : Type u_4\nm : MeasurableSpace \u03b1\ninst\u271d\u00b9 : Zero \u03b2\ninst\u271d : Zero \u03b3\n\u03bc : Measure \u03b1\nf : \u03b1 \u2192\u209b \u03b2\n\u22a2 SimpleFun... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Pointwise/SMul.lean | Set.subsingleton_zero_smul_set | [
820,
1
] | [
821,
56
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/BigOperators/Multiset/Basic.lean | Multiset.prod_le_prod_of_rel_le | [
394,
1
] | [
398,
28
] | [{"tactic": "induction' h with _ _ _ _ rh _ rt", "annotated_tactic": ["induction' h with _ _ _ _ rh _ rt", []], "state_before": "\u03b9 : Type u_1\n\u03b1 : Type u_2\n\u03b2 : Type u_3\n\u03b3 : Type u_4\ninst\u271d : OrderedCommMonoid \u03b1\ns t : Multiset \u03b1\na : \u03b1\nh : Rel (fun x x_1 => x \u2264 x_1) s t\n... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/SetTheory/Cardinal/Basic.lean | Cardinal.mk_plift_true | [
2063,
1
] | [
2064,
14
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Card.lean | Set.sep_of_ncard_eq | [
721,
1
] | [
723,
85
] | [{"tactic": "simp", "annotated_tactic": ["simp", []], "state_before": "\u03b1 : Type u_1\ns t : Set \u03b1\na : \u03b1\nP : \u03b1 \u2192 Prop\nh : ncard {x | x \u2208 s \u2227 P x} = ncard s\nha : a \u2208 s\nhs : autoParam (Set.Finite s) _auto\u271d\n\u22a2 {x | x \u2208 s \u2227 P x} \u2286 s", "state_after": "no go... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/MvPolynomial/Variables.lean | MvPolynomial.totalDegree_X_pow | [
704,
1
] | [
705,
93
] | [{"tactic": "simp [X_pow_eq_monomial, one_ne_zero]", "annotated_tactic": ["simp [<a>X_pow_eq_monomial</a>, <a>one_ne_zero</a>]", [{"full_name": "MvPolynomial.X_pow_eq_monomial", "def_path": "Mathlib/Data/MvPolynomial/Basic.lean", "def_pos": [326, 9], "def_end_pos": [326, 26]}, {"full_name": "one_ne_zero", "def_path": "... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Order/Ring/Defs.lean | zero_le_mul_right | [
846,
1
] | [
847,
59
] | [{"tactic": "simpa using (mul_le_mul_right h : 0 * c \u2264 b * c \u2194 0 \u2264 b)", "annotated_tactic": ["simpa using (<a>mul_le_mul_right</a> h : 0 * c \u2264 b * c \u2194 0 \u2264 b)", [{"full_name": "mul_le_mul_right", "def_path": "Mathlib/Algebra/Order/Ring/Lemmas.lean", "def_pos": [214, 9], "def_end_pos": [214,... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Sym/Basic.lean | Sym.map_congr | [
389,
1
] | [
390,
42
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/UniformSpace/Basic.lean | uniformity_lift_le_swap | [
552,
1
] | [
557,
75
] | [{"tactic": "rw [map_lift_eq2 hg, image_swap_eq_preimage_swap]", "annotated_tactic": ["rw [<a>map_lift_eq2</a> hg, <a>image_swap_eq_preimage_swap</a>]", [{"full_name": "Filter.map_lift_eq2", "def_path": "Mathlib/Order/Filter/Lift.lean", "def_pos": [129, 9], "def_end_pos": [129, 21]}, {"full_name": "Set.image_swap_eq_pr... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Simple.lean | CategoryTheory.cokernel_zero_of_nonzero_to_simple | [
171,
1
] | [
176,
41
] | [{"tactic": "classical\n by_contra h\n haveI := isIso_of_epi_of_nonzero h\n exact w (eq_zero_of_mono_cokernel f)", "annotated_tactic": ["classical\n by_contra h\n haveI := <a>isIso_of_epi_of_nonzero</a> h\n exact w (<a>eq_zero_of_mono_cokernel</a> f)", [{"full_name": "CategoryTheory.isIso_of_epi_of_nonzero"... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Geometry/Manifold/SmoothManifoldWithCorners.lean | LocalHomeomorph.continuousOn_extend | [
998,
1
] | [
1001,
23
] | [{"tactic": "refine' I.continuous.comp_continuousOn _", "annotated_tactic": ["refine' I.continuous.comp_continuousOn _", []], "state_before": "\ud835\udd5c : Type u_1\nE : Type u_2\nM : Type u_3\nH : Type u_4\nE' : Type u_5\nM' : Type u_6\nH' : Type u_7\ninst\u271d\u2078 : NontriviallyNormedField \ud835\udd5c\ninst\u27... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/Matrix/ToLinearEquiv.lean | Matrix.exists_mulVec_eq_zero_iff | [
171,
1
] | [
173,
46
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/SetTheory/Ordinal/Basic.lean | Ordinal.type_lt_iff | [
375,
1
] | [
377,
10
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/DirectSum/Decomposition.lean | DirectSum.decomposeLinearEquiv_symm_apply | [
245,
9
] | [
246,
66
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/SetTheory/Ordinal/Exponential.lean | Ordinal.opow_le_iff_le_log | [
330,
1
] | [
335,
78
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Pointwise/Interval.lean | Set.preimage_mul_const_Icc_of_neg | [
593,
1
] | [
594,
99
] | [{"tactic": "simp [\u2190 Ici_inter_Iic, h, inter_comm]", "annotated_tactic": ["simp [\u2190 <a>Ici_inter_Iic</a>, h, <a>inter_comm</a>]", [{"full_name": "Set.Ici_inter_Iic", "def_path": "Mathlib/Data/Set/Intervals/Basic.lean", "def_pos": [618, 9], "def_end_pos": [618, 22]}, {"full_name": "Set.inter_comm", "def_path": ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Seq/Computation.lean | Computation.mem_map | [
882,
1
] | [
883,
52
] | [{"tactic": "rw [\u2190 bind_pure]", "annotated_tactic": ["rw [\u2190 <a>bind_pure</a>]", [{"full_name": "Computation.bind_pure", "def_path": "Mathlib/Data/Seq/Computation.lean", "def_pos": [742, 9], "def_end_pos": [742, 18]}]], "state_before": "\u03b1 : Type u\n\u03b2 : Type v\n\u03b3 : Type w\nf : \u03b1 \u2192 \u03b... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Finset/LocallyFinite.lean | Finset.prod_prod_Ioi_mul_eq_prod_prod_off_diag | [
1176,
1
] | [
1182,
87
] | [{"tactic": "simp_rw [\u2190 Ioi_disjUnion_Iio, prod_disjUnion, prod_mul_distrib]", "annotated_tactic": ["simp_rw [\u2190 <a>Ioi_disjUnion_Iio</a>, <a>prod_disjUnion</a>, <a>prod_mul_distrib</a>]", [{"full_name": "Finset.Ioi_disjUnion_Iio", "def_path": "Mathlib/Data/Finset/LocallyFinite.lean", "def_pos": [902, 9], "def... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Fin/Tuple/Basic.lean | Fin.tail_update_succ | [
229,
1
] | [
234,
48
] | [{"tactic": "ext j", "annotated_tactic": ["ext j", []], "state_before": "m n : \u2115\n\u03b1 : Fin (n + 1) \u2192 Type u\nx : \u03b1 0\nq : (i : Fin (n + 1)) \u2192 \u03b1 i\np : (i : Fin n) \u2192 \u03b1 (succ i)\ni : Fin n\ny : \u03b1 (succ i)\nz : \u03b1 0\n\u22a2 tail (update q (succ i) y) = update (tail q) i y", ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Calculus/ContDiff.lean | contDiffAt_const | [
98,
1
] | [
99,
28
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Multiset/Basic.lean | Multiset.countP_zero | [
2207,
1
] | [
2208,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Integral/Periodic.lean | isAddFundamentalDomain_Ioc | [
39,
1
] | [
46,
70
] | [{"tactic": "refine' IsAddFundamentalDomain.mk' measurableSet_Ioc.nullMeasurableSet fun x => _", "annotated_tactic": ["refine' <a>IsAddFundamentalDomain.mk'</a> measurableSet_Ioc.nullMeasurableSet fun x => _", [{"full_name": "MeasureTheory.IsAddFundamentalDomain.mk'", "def_path": "Mathlib/MeasureTheory/Group/Fundamenta... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/NumberTheory/NumberField/Basic.lean | Int.not_isField | [
47,
1
] | [
49,
81
] | [{"tactic": "rw [\u2190 two_mul]", "annotated_tactic": ["rw [\u2190 <a>two_mul</a>]", [{"full_name": "two_mul", "def_path": "Mathlib/Algebra/Ring/Defs.lean", "def_pos": [177, 9], "def_end_pos": [177, 16]}]], "state_before": "h : IsField \u2124\na : \u2124\n\u22a2 2 * a = 1 \u2192 1 = a + a", "state_after": "h : IsField... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Algebra/Hom.lean | AlgHom.comp_algebraMap | [
240,
1
] | [
241,
28
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Complex/Exponential.lean | Complex.tanh_neg | [
704,
1
] | [
704,
66
] | [{"tactic": "simp [tanh, neg_div]", "annotated_tactic": ["simp [<a>tanh</a>, <a>neg_div</a>]", [{"full_name": "Complex.tanh", "def_path": "Mathlib/Data/Complex/Exponential.lean", "def_pos": [415, 5], "def_end_pos": [415, 9]}, {"full_name": "neg_div", "def_path": "Mathlib/Algebra/Field/Basic.lean", "def_pos": [113, 9], ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/FinitePresentation.lean | RingHom.FinitePresentation.of_surjective | [
440,
1
] | [
443,
39
] | [{"tactic": "rw [\u2190 f.comp_id]", "annotated_tactic": ["rw [\u2190 f.comp_id]", []], "state_before": "A : Type u_1\nB : Type u_2\nC : Type u_3\ninst\u271d\u00b2 : CommRing A\ninst\u271d\u00b9 : CommRing B\ninst\u271d : CommRing C\nf : A \u2192+* B\nhf : Surjective \u2191f\nhker : Ideal.FG (ker f)\n\u22a2 FinitePrese... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Quaternion.lean | Quaternion.coe_neg | [
952,
1
] | [
953,
30
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/GroupTheory/Coset.lean | leftCosetEquivalence_rel | [
99,
1
] | [
100,
77
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/PFun.lean | PFun.preimage_inter | [
443,
1
] | [
444,
27
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/Derivation/Basic.lean | Derivation.coe_smul | [
238,
1
] | [
239,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/Ideal/QuotientOperations.lean | Ideal.KerLift.map_smul | [
381,
1
] | [
384,
23
] | [{"tactic": "obtain \u27e8a, rfl\u27e9 := Quotient.mk\u2090_surjective R\u2081 _ x", "annotated_tactic": ["obtain \u27e8a, rfl\u27e9 := <a>Quotient.mk\u2090_surjective</a> R\u2081 _ x", [{"full_name": "Ideal.Quotient.mk\u2090_surjective", "def_path": "Mathlib/RingTheory/Ideal/QuotientOperations.lean", "def_pos": [343, ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/Finsupp.lean | LinearMap.splittingOfFunOnFintypeSurjective_splits | [
1299,
1
] | [
1307,
17
] | [{"tactic": "classical\nrefine pi_ext' fun x => ext_ring <| funext fun y => ?_\ndsimp [splittingOfFunOnFintypeSurjective]\nrw [linearEquivFunOnFinite_symm_single, Finsupp.sum_single_index, one_smul,\n (s (Finsupp.single x 1)).choose_spec, Finsupp.single_eq_pi_single]\nrw [zero_smul]", "annotated_tactic": ["classical\n... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/List/Basic.lean | List.replicate_left_injective | [
484,
1
] | [
485,
47
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Probability/Martingale/Basic.lean | MeasureTheory.Supermartingale.neg | [
198,
1
] | [
203,
8
] | [{"tactic": "refine' \u27e8hf.1.neg, fun i j hij => _, fun i => (hf.2.2 i).neg\u27e9", "annotated_tactic": ["refine' \u27e8hf.1.<a>neg</a>, fun i j hij => _, fun i => (hf.2.2 i).<a>neg</a>\u27e9", [{"full_name": "MeasureTheory.Adapted.neg", "def_path": "Mathlib/Probability/Process/Adapted.lean", "def_pos": [67, 3], "de... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/MonoidAlgebra/ToDirectSum.lean | AddMonoidAlgebra.toDirectSum_mul | [
132,
1
] | [
159,
42
] | [{"tactic": "let to_hom : AddMonoidAlgebra M \u03b9 \u2192+ \u2a01 _ : \u03b9, M :=\n{ toFun := toDirectSum\n map_zero' := toDirectSum_zero\n map_add' := toDirectSum_add }", "annotated_tactic": ["let to_hom : <a>AddMonoidAlgebra</a> M \u03b9 \u2192+ \u2a01 _ : \u03b9, M :=\n { toFun := <a>toDirectSum</a>\n map_ze... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Group/WithOne/Defs.lean | WithZero.inv_zero | [
288,
1
] | [
289,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Function/L1Space.lean | MeasureTheory.Integrable.toL1_zero | [
1416,
1
] | [
1417,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Filter/Prod.lean | Filter.coprod_neBot_left | [
511,
1
] | [
512,
41
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Order/Kleene.lean | Prod.kstar_def | [
308,
1
] | [
309,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/MetricSpace/Baire.lean | nonempty_interior_of_iUnion_of_closed | [
351,
1
] | [
353,
63
] | [{"tactic": "simpa using (dense_iUnion_interior_of_closed hc hU).nonempty", "annotated_tactic": ["simpa using (<a>dense_iUnion_interior_of_closed</a> hc hU).<a>nonempty</a>", [{"full_name": "dense_iUnion_interior_of_closed", "def_path": "Mathlib/Topology/MetricSpace/Baire.lean", "def_pos": [344, 9], "def_end_pos": [344... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/BoxIntegral/Box/Basic.lean | BoxIntegral.Box.coe_bot | [
275,
1
] | [
275,
67
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/NonUnitalSubring/Basic.lean | NonUnitalRingHom.mem_range_self | [
489,
1
] | [
490,
25
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/List/Basic.lean | List.getI_eq_nthLe | [
4393,
1
] | [
4394,
17
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/GroupTheory/MonoidLocalization.lean | Submonoid.LocalizationMap.lift_mul_right | [
991,
1
] | [
992,
53
] | [{"tactic": "erw [mul_assoc, IsUnit.liftRight_inv_mul, mul_one]", "annotated_tactic": ["erw [<a>mul_assoc</a>, <a>IsUnit.liftRight_inv_mul</a>, <a>mul_one</a>]", [{"full_name": "mul_assoc", "def_path": "Mathlib/Algebra/Group/Defs.lean", "def_pos": [264, 9], "def_end_pos": [264, 18]}, {"full_name": "IsUnit.liftRight_inv... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Image.lean | Function.Surjective.nonempty_preimage | [
1326,
1
] | [
1327,
87
] | [{"tactic": "rw [\u2190 nonempty_image_iff, hf.image_preimage]", "annotated_tactic": ["rw [\u2190 <a>nonempty_image_iff</a>, hf.image_preimage]", [{"full_name": "Set.nonempty_image_iff", "def_path": "Mathlib/Data/Set/Image.lean", "def_pos": [481, 9], "def_end_pos": [481, 27]}]], "state_before": "\u03b9 : Sort u_1\n\u03... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Convex/Quasiconvex.lean | QuasilinearOn.monotoneOn_or_antitoneOn | [
238,
1
] | [
242,
94
] | [{"tactic": "simp_rw [monotoneOn_or_antitoneOn_iff_uIcc, \u2190 segment_eq_uIcc]", "annotated_tactic": ["simp_rw [<a>monotoneOn_or_antitoneOn_iff_uIcc</a>, \u2190 <a>segment_eq_uIcc</a>]", [{"full_name": "Set.monotoneOn_or_antitoneOn_iff_uIcc", "def_path": "Mathlib/Data/Set/Intervals/UnorderedInterval.lean", "def_pos":... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Limits/Shapes/Images.lean | CategoryTheory.Limits.image.compIso_hom_comp_image_ι | [
643,
1
] | [
646,
23
] | [{"tactic": "ext", "annotated_tactic": ["ext", []], "state_before": "C : Type u\ninst\u271d\u00b3 : Category.{v, u} C\nX Y : C\nf : X \u27f6 Y\nZ : C\ng : Y \u27f6 Z\ninst\u271d\u00b2 : HasEqualizers C\ninst\u271d\u00b9 : HasImage f\ninst\u271d : IsIso g\n\u22a2 (compIso f g).hom \u226b \u03b9 (f \u226b g) = \u03b9 f \... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Monoidal/CommMon_.lean | CommMon_.comp_hom | [
57,
1
] | [
59,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Computability/TuringMachine.lean | Turing.BlankExtends.trans | [
84,
1
] | [
87,
46
] | [{"tactic": "rintro \u27e8i, rfl\u27e9 \u27e8j, rfl\u27e9", "annotated_tactic": ["rintro \u27e8i, rfl\u27e9 \u27e8j, rfl\u27e9", []], "state_before": "\u0393 : Type u_1\ninst\u271d : Inhabited \u0393\nl\u2081 l\u2082 l\u2083 : List \u0393\n\u22a2 BlankExtends l\u2081 l\u2082 \u2192 BlankExtends l\u2082 l\u2083 \u2192 B... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Combinatorics/SimpleGraph/Subgraph.lean | SimpleGraph.neighborSet_singletonSubgraph | [
864,
1
] | [
865,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/AlgebraicTopology/DoldKan/Projections.lean | AlgebraicTopology.DoldKan.P_f_naturality | [
197,
1
] | [
199,
62
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Algebra/Group/Basic.lean | IsClosed.rightCoset | [
142,
1
] | [
143,
30
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Calculus/Deriv/Basic.lean | DifferentiableOn.hasDerivAt | [
450,
1
] | [
452,
32
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Limits/IsLimit.lean | CategoryTheory.Limits.IsColimit.comp_coconePointsIsoOfNatIso_hom | [
823,
1
] | [
825,
89
] | [{"tactic": "simp", "annotated_tactic": ["simp", []], "state_before": "J : Type u\u2081\ninst\u271d\u00b2 : Category.{v\u2081, u\u2081} J\nK : Type u\u2082\ninst\u271d\u00b9 : Category.{v\u2082, u\u2082} K\nC : Type u\u2083\ninst\u271d : Category.{v\u2083, u\u2083} C\nF\u271d : J \u2964 C\nt\u271d : Cocone F\u271d\nF G... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Pointwise/BigOperators.lean | Set.finset_prod_subset_finset_prod | [
162,
1
] | [
164,
46
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Filter/AtTopBot.lean | Filter.eventually_ne_atTop | [
201,
1
] | [
202,
49
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Control/Basic.lean | guard_true | [
183,
1
] | [
183,
97
] | [{"tactic": "simp [guard, if_pos]", "annotated_tactic": ["simp [<a>guard</a>, <a>if_pos</a>]", [{"full_name": "guard", "def_path": "lake-packages/lean4/src/lean/Init/Control/Basic.lean", "def_pos": [33, 30], "def_end_pos": [33, 35]}, {"full_name": "if_pos", "def_path": "lake-packages/lean4/src/lean/Init/Core.lean", "de... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/MetricSpace/DilationEquiv.lean | DilationEquiv.ratio_symm | [
127,
1
] | [
128,
82
] | [{"tactic": "rw [\u2190 ratio_trans, symm_trans_self, ratio_refl]", "annotated_tactic": ["rw [\u2190 <a>ratio_trans</a>, <a>symm_trans_self</a>, <a>ratio_refl</a>]", [{"full_name": "DilationEquiv.ratio_trans", "def_path": "Mathlib/Topology/MetricSpace/DilationEquiv.lean", "def_pos": [117, 9], "def_end_pos": [117, 20]},... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Ring/BooleanRing.lean | ofBoolAlg_inf | [
290,
1
] | [
291,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Module/Basic.lean | inv_int_cast_smul_eq | [
518,
1
] | [
520,
52
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Pointwise/Interval.lean | Set.preimage_mul_const_Ioc_of_neg | [
581,
1
] | [
583,
57
] | [{"tactic": "simp [\u2190 Ioi_inter_Iic, \u2190 Ici_inter_Iio, h, inter_comm]", "annotated_tactic": ["simp [\u2190 <a>Ioi_inter_Iic</a>, \u2190 <a>Ici_inter_Iio</a>, h, <a>inter_comm</a>]", [{"full_name": "Set.Ioi_inter_Iic", "def_path": "Mathlib/Data/Set/Intervals/Basic.lean", "def_pos": [626, 9], "def_end_pos": [626,... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Init/Data/Nat/Bitwise.lean | Nat.div2_two | [
112,
1
] | [
113,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/NumberTheory/Padics/PadicNumbers.lean | Padic.complete' | [
734,
1
] | [
745,
41
] | [{"tactic": "obtain \u27e8N, hN\u27e9 := exi_rat_seq_conv f (half_pos h\u03b5)", "annotated_tactic": ["obtain \u27e8N, hN\u27e9 := <a>exi_rat_seq_conv</a> f (<a>half_pos</a> h\u03b5)", [{"full_name": "Padic.exi_rat_seq_conv", "def_path": "Mathlib/NumberTheory/Padics/PadicNumbers.lean", "def_pos": [688, 9], "def_end_pos... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Pi/Algebra.lean | Pi.mulSingle_op | [
303,
1
] | [
306,
48
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Associated.lean | irreducible_or_factor | [
228,
1
] | [
235,
29
] | [{"tactic": "haveI := Classical.dec", "annotated_tactic": ["haveI := <a>Classical.dec</a>", [{"full_name": "Classical.dec", "def_path": "Mathlib/Logic/Basic.lean", "def_pos": [971, 19], "def_end_pos": [971, 22]}]], "state_before": "\u03b1\u271d : Type u_1\n\u03b2 : Type u_2\n\u03b3 : Type u_3\n\u03b4 : Type u_4\n\u03b1... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/MetricSpace/Basic.lean | Metric.emetric_closedBall | [
1220,
1
] | [
1222,
34
] | [{"tactic": "ext y", "annotated_tactic": ["ext y", []], "state_before": "\u03b1 : Type u\n\u03b2 : Type v\nX : Type u_1\n\u03b9 : Type u_2\ninst\u271d : PseudoMetricSpace \u03b1\nx : \u03b1\n\u03b5 : \u211d\nh : 0 \u2264 \u03b5\n\u22a2 EMetric.closedBall x (ENNReal.ofReal \u03b5) = closedBall x \u03b5", "state_after": ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Filter/AtTopBot.lean | Filter.eventually_atBot_prod_self | [
1526,
1
] | [
1528,
78
] | [{"tactic": "simp [\u2190 prod_atBot_atBot_eq, (@atBot_basis \u03b1 _ _).prod_self.eventually_iff]", "annotated_tactic": ["simp [\u2190 <a>prod_atBot_atBot_eq</a>, (@<a>atBot_basis</a> \u03b1 _ _).prod_self.eventually_iff]", [{"full_name": "Filter.prod_atBot_atBot_eq", "def_path": "Mathlib/Order/Filter/AtTopBot.lean", ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Nat/Prime.lean | Nat.prime_three | [
172,
1
] | [
172,
43
] | [{"tactic": "decide", "annotated_tactic": ["decide", []], "state_before": "\u22a2 Prime 3", "state_after": "no goals"}] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/SetTheory/Cardinal/Basic.lean | Cardinal.mk_le_of_module | [
2463,
1
] | [
2468,
45
] | [{"tactic": "obtain \u27e8x, hx\u27e9 : \u2203 (x : E), x \u2260 0 := exists_ne 0", "annotated_tactic": ["obtain \u27e8x, hx\u27e9 : \u2203 (x : E), x \u2260 0 := <a>exists_ne</a> 0", [{"full_name": "exists_ne", "def_path": "Mathlib/Logic/Nontrivial/Defs.lean", "def_pos": [51, 9], "def_end_pos": [51, 18]}]], "state_bef... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Fin/Tuple/NatAntidiagonal.lean | Multiset.Nat.antidiagonalTuple_zero_right | [
207,
1
] | [
208,
56
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Logic/Function/Basic.lean | Function.LeftInverse.cast_eq | [
1052,
1
] | [
1055,
26
] | [{"tactic": "rw [cast_eq_iff_heq, h]", "annotated_tactic": ["rw [<a>cast_eq_iff_heq</a>, h]", [{"full_name": "cast_eq_iff_heq", "def_path": "Mathlib/Logic/Basic.lean", "def_pos": [566, 9], "def_end_pos": [566, 24]}]], "state_before": "\u03b1 : Sort u_1\n\u03b2 : Sort u_2\n\u03b3 : \u03b2 \u2192 Sort v\nf : \u03b1 \u219... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Combinatorics/SimpleGraph/Basic.lean | SimpleGraph.fromEdgeSet_inf | [
667,
1
] | [
671,
8
] | [{"tactic": "ext v w", "annotated_tactic": ["ext v w", []], "state_before": "\u03b9 : Sort u_1\n\ud835\udd5c : Type u_2\nV : Type u\nW : Type v\nX : Type w\nG : SimpleGraph V\nG' : SimpleGraph W\na b c u v w : V\ne : Sym2 V\ns\u271d s t : Set (Sym2 V)\n\u22a2 fromEdgeSet s \u2293 fromEdgeSet t = fromEdgeSet (s \u2229 t... |
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