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/Order/Filter/Pointwise.lean | IsUnit.filter | [
720,
11
] | [
721,
45
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Integral/SetIntegral.lean | MeasureTheory.norm_set_integral_le_of_norm_le_const_ae' | [
555,
1
] | [
566,
11
] | [{"tactic": "apply norm_set_integral_le_of_norm_le_const_ae hs", "annotated_tactic": ["apply <a>norm_set_integral_le_of_norm_le_const_ae</a> hs", [{"full_name": "MeasureTheory.norm_set_integral_le_of_norm_le_const_ae", "def_path": "Mathlib/MeasureTheory/Integral/SetIntegral.lean", "def_pos": [548, 9], "def_end_pos": [5... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/RelIso/Basic.lean | RelEmbedding.acc | [
384,
11
] | [
389,
61
] | [{"tactic": "generalize h : f a = b", "annotated_tactic": ["generalize h : f a = b", []], "state_before": "\u03b1 : Type u_1\n\u03b2 : Type u_2\n\u03b3 : Type u_3\n\u03b4 : Type u_4\nr : \u03b1 \u2192 \u03b1 \u2192 Prop\ns : \u03b2 \u2192 \u03b2 \u2192 Prop\nt : \u03b3 \u2192 \u03b3 \u2192 Prop\nu : \u03b4 \u2192 \u03b... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Closed/Cartesian.lean | CategoryTheory.CartesianClosed.uncurry_id_eq_ev | [
234,
1
] | [
235,
43
] | [{"tactic": "rw [uncurry_eq, prod.map_id_id, id_comp]", "annotated_tactic": ["rw [<a>uncurry_eq</a>, <a>prod.map_id_id</a>, <a>id_comp</a>]", [{"full_name": "CategoryTheory.CartesianClosed.uncurry_eq", "def_path": "Mathlib/CategoryTheory/Closed/Cartesian.lean", "def_pos": [226, 9], "def_end_pos": [226, 19]}, {"full_nam... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Bases.lean | TopologicalSpace.isTopologicalBasis_of_cover | [
277,
1
] | [
290,
30
] | [{"tactic": "refine' isTopologicalBasis_of_open_of_nhds (fun u hu => _) _", "annotated_tactic": ["refine' <a>isTopologicalBasis_of_open_of_nhds</a> (fun u hu => _) _", [{"full_name": "TopologicalSpace.isTopologicalBasis_of_open_of_nhds", "def_path": "Mathlib/Topology/Bases.lean", "def_pos": [127, 9], "def_end_pos": [12... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Partition/Finpartition.lean | Finpartition.parts_nonempty | [
184,
1
] | [
185,
26
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/NumberTheory/ClassNumber/AdmissibleAbs.lean | AbsoluteValue.exists_partition_int | [
30,
1
] | [
51,
35
] | [{"tactic": "have hb' : (0 : \u211d) < \u2191(abs b) := Int.cast_pos.mpr (abs_pos.mpr hb)", "annotated_tactic": ["have hb' : (0 : \u211d) < \u2191(<a>abs</a> b) := Int.cast_pos.mpr (abs_pos.mpr hb)", [{"full_name": "Abs.abs", "def_path": "Mathlib/Algebra/Abs.lean", "def_pos": [41, 3], "def_end_pos": [41, 6]}]], "state_... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Order/Basic.lean | continuousWithinAt_Icc_iff_Iic | [
634,
1
] | [
636,
69
] | [{"tactic": "simp only [ContinuousWithinAt, nhdsWithin_Icc_eq_nhdsWithin_Iic h]", "annotated_tactic": ["simp only [<a>ContinuousWithinAt</a>, <a>nhdsWithin_Icc_eq_nhdsWithin_Iic</a> h]", [{"full_name": "ContinuousWithinAt", "def_path": "Mathlib/Topology/ContinuousOn.lean", "def_pos": [518, 5], "def_end_pos": [518, 23]}... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/SetTheory/Cardinal/Basic.lean | Cardinal.le_mk_diff_add_mk | [
2260,
1
] | [
2261,
73
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/GroupTheory/Submonoid/Membership.lean | Submonoid.pow_apply | [
520,
1
] | [
521,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Lie/Basic.lean | add_lie | [
113,
1
] | [
114,
30
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Function/L1Space.lean | MeasureTheory.Integrable.neg | [
693,
1
] | [
694,
58
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Quaternion.lean | Quaternion.mul_re | [
977,
1
] | [
978,
99
] | [{"tactic": "simp only [one_mul, neg_mul, sub_eq_add_neg, neg_neg]", "annotated_tactic": ["simp only [<a>one_mul</a>, <a>neg_mul</a>, <a>sub_eq_add_neg</a>, <a>neg_neg</a>]", [{"full_name": "one_mul", "def_path": "Mathlib/Algebra/Group/Defs.lean", "def_pos": [464, 9], "def_end_pos": [464, 16]}, {"full_name": "neg_mul",... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/DedekindDomain/Ideal.lean | span_singleton_dvd_span_singleton_iff_dvd | [
1407,
1
] | [
1410,
97
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/DedekindDomain/Dvr.lean | IsDedekindDomain.isDedekindDomainDvr | [
150,
1
] | [
153,
79
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Lie/Basic.lean | LieModuleEquiv.symm_trans_self | [
1136,
1
] | [
1137,
29
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/DirectSum/Module.lean | DirectSum.linearMap_ext | [
138,
1
] | [
140,
23
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/NormedSpace/PiLp.lean | PiLp.antilipschitzWith_equiv | [
514,
1
] | [
516,
34
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/List/Nodup.lean | List.Nodup.pairwise_of_set_pairwise | [
434,
1
] | [
436,
29
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Normed/Group/Hom.lean | NormedAddGroupHom.le_of_opNorm_le | [
254,
1
] | [
255,
36
] | [{"tactic": "gcongr", "annotated_tactic": ["gcongr", []], "state_before": "V : Type u_1\nV\u2081 : Type u_2\nV\u2082 : Type u_3\nV\u2083 : Type u_4\ninst\u271d\u00b3 : SeminormedAddCommGroup V\ninst\u271d\u00b2 : SeminormedAddCommGroup V\u2081\ninst\u271d\u00b9 : SeminormedAddCommGroup V\u2082\ninst\u271d : SeminormedA... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/NumberTheory/Cyclotomic/Basic.lean | IsCyclotomicExtension.splits_cyclotomic | [
453,
1
] | [
457,
58
] | [{"tactic": "refine' splits_of_splits_of_dvd _ (X_pow_sub_C_ne_zero n.pos _) (splits_X_pow_sub_one K L hS) _", "annotated_tactic": ["refine' <a>splits_of_splits_of_dvd</a> _ (<a>X_pow_sub_C_ne_zero</a> n.pos _) (<a>splits_X_pow_sub_one</a> K L hS) _", [{"full_name": "Polynomial.splits_of_splits_of_dvd", "def_path": "Ma... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Constructions.lean | Pi.continuous_precomp | [
1245,
1
] | [
1247,
27
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/NormedSpace/OperatorNorm.lean | ContinuousLinearMap.op_norm_mul_apply_le | [
1111,
1
] | [
1112,
53
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Multiset/Nodup.lean | Multiset.Nodup.filter | [
150,
1
] | [
151,
55
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/SetTheory/Ordinal/Arithmetic.lean | Ordinal.lift_pred | [
228,
1
] | [
230,
86
] | [{"tactic": "cases' h with a e", "annotated_tactic": ["cases' h with a e", []], "state_before": "\u03b1 : Type u_1\n\u03b2 : Type u_2\n\u03b3 : Type u_3\nr : \u03b1 \u2192 \u03b1 \u2192 Prop\ns : \u03b2 \u2192 \u03b2 \u2192 Prop\nt : \u03b3 \u2192 \u03b3 \u2192 Prop\no : Ordinal.{v}\nh : \u2203 a, o = succ a\n\u22a2 li... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/TensorProduct.lean | Algebra.TensorProduct.includeLeft_apply | [
399,
1
] | [
401,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Computability/DFA.lean | DFA.pumping_lemma | [
151,
1
] | [
166,
67
] | [{"tactic": "obtain \u27e8_, a, b, c, hx, hlen, hnil, rfl, hb, hc\u27e9 := M.evalFrom_split hlen rfl", "annotated_tactic": ["obtain \u27e8_, a, b, c, hx, hlen, hnil, rfl, hb, hc\u27e9 := M.evalFrom_split hlen <a>rfl</a>", [{"full_name": "rfl", "def_path": "lake-packages/lean4/src/lean/Init/Prelude.lean", "def_pos": [28... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Integral/Lebesgue.lean | MeasureTheory.lintegral_mono_nnreal | [
108,
1
] | [
109,
53
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Matrix/Block.lean | Matrix.toBlocks_fromBlocks₂₁ | [
117,
1
] | [
119,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Sets/Opens.lean | TopologicalSpace.Opens.comap_mono | [
372,
1
] | [
373,
33
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Finsupp/Defs.lean | Finsupp.support_zipWith | [
953,
1
] | [
955,
61
] | [{"tactic": "rw [Subsingleton.elim D] <;> exact support_onFinset_subset", "annotated_tactic": ["rw [<a>Subsingleton.elim</a> D] <;> exact <a>support_onFinset_subset</a>", [{"full_name": "Subsingleton.elim", "def_path": "lake-packages/lean4/src/lean/Init/Core.lean", "def_pos": [873, 19], "def_end_pos": [873, 36]}, {"ful... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Parity.lean | odd_abs | [
471,
1
] | [
472,
58
] | [{"tactic": "cases' abs_choice a with h h <;> simp only [h, odd_neg]", "annotated_tactic": ["cases' <a>abs_choice</a> a with h h <;> simp only [h, <a>odd_neg</a>]", [{"full_name": "abs_choice", "def_path": "Mathlib/Algebra/Order/Group/Abs.lean", "def_pos": [45, 9], "def_end_pos": [45, 19]}, {"full_name": "odd_neg", "de... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Dynamics/Ergodic/AddCircle.lean | AddCircle.ae_empty_or_univ_of_forall_vadd_ae_eq_self | [
43,
1
] | [
99,
26
] | [{"tactic": "set \u03bc := (volume : Measure <| AddCircle T)", "annotated_tactic": ["set \u03bc := (<a>volume</a> : <a>Measure</a> <| <a>AddCircle</a> T)", [{"full_name": "MeasureTheory.MeasureSpace.volume", "def_path": "Mathlib/MeasureTheory/Measure/MeasureSpaceDef.lean", "def_pos": [663, 3], "def_end_pos": [663, 9]},... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Computability/Partrec.lean | Nat.Partrec.some | [
199,
11
] | [
200,
24
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Probability/Process/Stopping.lean | MeasureTheory.IsStoppingTime.measurableSet_lt_of_pred | [
72,
1
] | [
82,
61
] | [{"tactic": "by_cases hi_min : IsMin i", "annotated_tactic": ["by_cases hi_min : <a>IsMin</a> i", [{"full_name": "IsMin", "def_path": "Mathlib/Order/Max.lean", "def_pos": [202, 5], "def_end_pos": [202, 10]}]], "state_before": "\u03a9 : Type u_1\n\u03b2 : Type u_2\n\u03b9 : Type u_3\nm : MeasurableSpace \u03a9\ninst\u27... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/UniformSpace/UniformConvergence.lean | tendstoLocallyUniformlyOn_iff_tendstoUniformlyOn_of_compact | [
703,
1
] | [
709,
59
] | [{"tactic": "haveI : CompactSpace s := isCompact_iff_compactSpace.mp hs", "annotated_tactic": ["haveI : <a>CompactSpace</a> s := isCompact_iff_compactSpace.mp hs", [{"full_name": "CompactSpace", "def_path": "Mathlib/Topology/Compactness/Compact.lean", "def_pos": [669, 7], "def_end_pos": [669, 19]}]], "state_before": "\... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/SpecialFunctions/Trigonometric/EulerSineProd.lean | EulerSine.tendsto_integral_cos_pow_mul_div | [
282,
1
] | [
299,
60
] | [{"tactic": "simp_rw [div_eq_inv_mul (\u03b1 := \u2102), \u2190 Complex.ofReal_inv, integral_of_le pi_div_two_pos.le,\n \u2190 MeasureTheory.integral_Icc_eq_integral_Ioc, \u2190 Complex.ofReal_pow, \u2190 Complex.real_smul]", "annotated_tactic": ["simp_rw [<a>div_eq_inv_mul</a> (\u03b1 := \u2102), \u2190 <a>Complex.of... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Calculus/FDeriv/Comp.lean | DifferentiableWithinAt.comp' | [
117,
1
] | [
120,
71
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Homology/HomologicalComplex.lean | HomologicalComplex.comp_f | [
280,
1
] | [
282,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Order/Lattice.lean | Filter.Tendsto.sup_right_nhds' | [
108,
1
] | [
111,
63
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Group/Action.lean | MeasureTheory.measure_smul_null | [
231,
1
] | [
231,
93
] | [{"tactic": "rwa [measure_smul]", "annotated_tactic": ["rwa [<a>measure_smul</a>]", [{"full_name": "MeasureTheory.measure_smul", "def_path": "Mathlib/MeasureTheory/Group/Action.lean", "def_pos": [215, 9], "def_end_pos": [215, 21]}]], "state_before": "G : Type u\nM : Type v\n\u03b1 : Type w\ns\u271d : Set \u03b1\nm : Me... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Lattice.lean | Set.iInter_congr_Prop | [
321,
1
] | [
323,
23
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Function/SimpleFuncDenseLp.lean | MeasureTheory.SimpleFunc.tendsto_approxOn_range_L1_nnnorm | [
249,
1
] | [
258,
21
] | [{"tactic": "simp", "annotated_tactic": ["simp", []], "state_before": "\u03b1 : Type u_1\n\u03b2 : Type u_2\n\u03b9 : Type u_3\nE : Type u_4\nF : Type u_5\n\ud835\udd5c : Type u_6\ninst\u271d\u2074 : MeasurableSpace \u03b2\ninst\u271d\u00b3 : MeasurableSpace E\ninst\u271d\u00b2 : NormedAddCommGroup E\ninst\u271d\u00b9 ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Preadditive/AdditiveFunctor.lean | CategoryTheory.AdditiveFunctor.ofExact_obj_fst | [
299,
1
] | [
301,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Real/Sqrt.lean | Real.sqrt_le_iff | [
288,
1
] | [
290,
21
] | [{"tactic": "rw [\u2190 and_iff_right_of_imp fun h => (sqrt_nonneg x).trans h, and_congr_right_iff]", "annotated_tactic": ["rw [\u2190 <a>and_iff_right_of_imp</a> fun h => (<a>sqrt_nonneg</a> x).<a>trans</a> h, <a>and_congr_right_iff</a>]", [{"full_name": "and_iff_right_of_imp", "def_path": "lake-packages/std/Std/Logic... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/Basic.lean | Submodule.comap_equiv_eq_map_symm | [
2406,
1
] | [
2408,
42
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Order/Ring/Lemmas.lean | mulPosReflectLT_iff_contravariant_pos | [
477,
1
] | [
483,
91
] | [{"tactic": "obtain ha | ha := a.prop.eq_or_lt", "annotated_tactic": ["obtain ha | ha := a.prop.eq_or_lt", []], "state_before": "\u03b1 : Type u_1\na\u271d b\u271d c\u271d d : \u03b1\ninst\u271d\u00b9 : MulZeroClass \u03b1\ninst\u271d : PartialOrder \u03b1\nh\u271d : ContravariantClass { x // 0 < x } \u03b1 (fun x y =>... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/NormedSpace/AffineIsometry.lean | AffineIsometryEquiv.coe_trans | [
555,
1
] | [
556,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Asymptotics/AsymptoticEquivalent.lean | Asymptotics.isEquivalent_zero_iff_eventually_zero | [
128,
1
] | [
130,
33
] | [{"tactic": "rw [IsEquivalent, sub_zero]", "annotated_tactic": ["rw [<a>IsEquivalent</a>, <a>sub_zero</a>]", [{"full_name": "Asymptotics.IsEquivalent", "def_path": "Mathlib/Analysis/Asymptotics/AsymptoticEquivalent.lean", "def_pos": [73, 5], "def_end_pos": [73, 17]}, {"full_name": "sub_zero", "def_path": "Mathlib/Algeb... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Hom/GroupAction.lean | DistribMulActionHom.id_comp | [
384,
1
] | [
385,
44
] | [{"tactic": "rw [comp_apply, id_apply]", "annotated_tactic": ["rw [<a>comp_apply</a>, <a>id_apply</a>]", [{"full_name": "DistribMulActionHom.comp_apply", "def_path": "Mathlib/Algebra/Hom/GroupAction.lean", "def_pos": [379, 9], "def_end_pos": [379, 19]}, {"full_name": "DistribMulActionHom.id_apply", "def_path": "Mathlib... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/Subring/Basic.lean | Subring.mem_carrier | [
213,
1
] | [
214,
10
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Calculus/FDeriv/Basic.lean | fderivWithin_id | [
1119,
1
] | [
1121,
18
] | [{"tactic": "rw [DifferentiableAt.fderivWithin differentiableAt_id hxs]", "annotated_tactic": ["rw [<a>DifferentiableAt.fderivWithin</a> <a>differentiableAt_id</a> hxs]", [{"full_name": "DifferentiableAt.fderivWithin", "def_path": "Mathlib/Analysis/Calculus/FDeriv/Basic.lean", "def_pos": [654, 19], "def_end_pos": [654,... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Star/Module.lean | selfAdjointPart_comp_subtype_skewAdjoint | [
161,
1
] | [
163,
67
] | [{"tactic": "simp [hx]", "annotated_tactic": ["simp [hx]", []], "state_before": "R : Type u_1\nA : Type u_2\ninst\u271d\u2077 : Semiring R\ninst\u271d\u2076 : StarMul R\ninst\u271d\u2075 : TrivialStar R\ninst\u271d\u2074 : AddCommGroup A\ninst\u271d\u00b3 : Module R A\ninst\u271d\u00b2 : StarAddMonoid A\ninst\u271d\u00... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/SetTheory/Ordinal/Arithmetic.lean | Cardinal.add_one_of_aleph0_le | [
2397,
1
] | [
2399,
33
] | [{"tactic": "rw [add_comm, \u2190 card_ord c, \u2190 card_one, \u2190 card_add, one_add_of_omega_le]", "annotated_tactic": ["rw [<a>add_comm</a>, \u2190 <a>card_ord</a> c, \u2190 <a>card_one</a>, \u2190 <a>card_add</a>, <a>one_add_of_omega_le</a>]", [{"full_name": "add_comm", "def_path": "Mathlib/Algebra/Group/Defs.lea... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/Valuation/ValuationSubring.lean | ValuationSubring.pointwise_smul_subset_iff | [
874,
1
] | [
875,
26
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Function/L1Space.lean | MeasureTheory.lintegral_nnnorm_add_left | [
87,
1
] | [
89,
35
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Compactification/OnePoint.lean | OnePoint.isOpen_iff_of_mem | [
216,
1
] | [
218,
65
] | [{"tactic": "simp only [isOpen_iff_of_mem' h, isClosed_compl_iff, and_comm]", "annotated_tactic": ["simp only [<a>isOpen_iff_of_mem'</a> h, <a>isClosed_compl_iff</a>, <a>and_comm</a>]", [{"full_name": "OnePoint.isOpen_iff_of_mem'", "def_path": "Mathlib/Topology/Compactification/OnePoint.lean", "def_pos": [211, 9], "def... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Measure/GiryMonad.lean | MeasureTheory.Measure.measurable_measure | [
71,
1
] | [
73,
80
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/IntegralClosure.lean | isIntegral_of_mem_closure | [
489,
1
] | [
491,
55
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Order/Ring/WithTop.lean | WithBot.bot_lt_mul | [
256,
1
] | [
257,
38
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/MetricSpace/MetrizableUniformity.lean | PseudoMetricSpace.dist_ofPreNNDist | [
87,
1
] | [
92,
6
] | [] |
https://github.com/leanprover/std4 | 869c615eb10130c0637a7bc038e2b80253559913 | lake-packages/std/Std/Data/String/Lemmas.lean | String.Pos.ne_of_lt | [
134,
1
] | [
134,
88
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Lie/IdealOperations.lean | LieSubmodule.map_comap_le | [
221,
1
] | [
222,
40
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Filter/AtTopBot.lean | Filter.frequently_high_scores | [
623,
1
] | [
625,
48
] | [{"tactic": "simpa [frequently_atTop] using high_scores hu", "annotated_tactic": ["simpa [<a>frequently_atTop</a>] using <a>high_scores</a> hu", [{"full_name": "Filter.frequently_atTop", "def_path": "Mathlib/Order/Filter/AtTopBot.lean", "def_pos": [349, 9], "def_end_pos": [349, 25]}, {"full_name": "Filter.high_scores",... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Finite.lean | Set.Finite.subset | [
771,
1
] | [
774,
17
] | [{"tactic": "cases hs", "annotated_tactic": ["cases hs", []], "state_before": "\u03b1 : Type u\n\u03b2 : Type v\n\u03b9 : Sort w\n\u03b3 : Type x\ns : Set \u03b1\nhs : Set.Finite s\nt : Set \u03b1\nht : t \u2286 s\n\u22a2 Set.Finite t", "state_after": "case intro\n\u03b1 : Type u\n\u03b2 : Type v\n\u03b9 : Sort w\n\u03... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Algebra/ContinuousAffineMap.lean | ContinuousAffineMap.add_apply | [
223,
1
] | [
223,
75
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/List/Sigma.lean | List.exists_of_kerase | [
428,
1
] | [
442,
26
] | [{"tactic": "cases h", "annotated_tactic": ["cases h", []], "state_before": "case nil\n\u03b1 : Type u\n\u03b2 : \u03b1 \u2192 Type v\nl l\u2081 l\u2082 : List (Sigma \u03b2)\ninst\u271d : DecidableEq \u03b1\na : \u03b1\nh : a \u2208 keys []\n\u22a2 \u2203 b l\u2081 l\u2082, \u00aca \u2208 keys l\u2081 \u2227 [] = l\u2... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/MvPolynomial/WeightedHomogeneous.lean | MvPolynomial.IsWeightedHomogeneous.inj_right | [
256,
1
] | [
259,
24
] | [{"tactic": "obtain \u27e8d, hd\u27e9 : \u2203 d, coeff d \u03c6 \u2260 0 := exists_coeff_ne_zero h\u03c6", "annotated_tactic": ["obtain \u27e8d, hd\u27e9 : \u2203 d, <a>coeff</a> d \u03c6 \u2260 0 := <a>exists_coeff_ne_zero</a> h\u03c6", [{"full_name": "MvPolynomial.coeff", "def_path": "Mathlib/Data/MvPolynomial/Basic... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/Matrix/Charpoly/Coeff.lean | matPolyEquiv_eq_x_pow_sub_c | [
203,
1
] | [
219,
23
] | [{"tactic": "ext m i j", "annotated_tactic": ["ext m i j", []], "state_before": "R : Type u\ninst\u271d\u2075 : CommRing R\nn G : Type v\ninst\u271d\u2074 : DecidableEq n\ninst\u271d\u00b3 : Fintype n\n\u03b1 \u03b2 : Type v\ninst\u271d\u00b2 : DecidableEq \u03b1\nM\u271d : Matrix n n R\np : \u2115\ninst\u271d\u00b9 : ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Abelian/Transfer.lean | CategoryTheory.AbelianOfAdjunction.hasKernels | [
57,
1
] | [
63,
40
] | [{"tactic": "have := NatIso.naturality_1 i f", "annotated_tactic": ["have := <a>NatIso.naturality_1</a> i f", [{"full_name": "CategoryTheory.NatIso.naturality_1", "def_path": "Mathlib/CategoryTheory/NatIso.lean", "def_pos": [168, 9], "def_end_pos": [168, 21]}]], "state_before": "C : Type u\u2081\ninst\u271d\u2075 : Cat... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/LinearPMap.lean | LinearPMap.eq_of_eq_graph | [
955,
1
] | [
959,
35
] | [{"tactic": "refine ext (Submodule.ext fun x => ?_) (fun x y h' => ?_)", "annotated_tactic": ["refine <a>ext</a> (<a>Submodule.ext</a> fun x => ?_) (fun x y h' => ?_)", [{"full_name": "LinearPMap.ext", "def_path": "Mathlib/LinearAlgebra/LinearPMap.lean", "def_pos": [67, 9], "def_end_pos": [67, 12]}, {"full_name": "Subm... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/ConditionallyCompleteLattice/Basic.lean | csSup_empty | [
1184,
1
] | [
1185,
50
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Order/Ring/WithTop.lean | WithBot.mul_def | [
228,
1
] | [
230,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Zorn.lean | zorn_superset | [
198,
1
] | [
201,
68
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/RootsOfUnity/Basic.lean | restrictRootsOfUnity_coe_apply | [
154,
1
] | [
156,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Integral/IntervalIntegral.lean | intervalIntegral.integral_comp_add_left | [
745,
8
] | [
747,
60
] | [{"tactic": "simpa only [add_comm d] using integral_comp_add_right f d", "annotated_tactic": ["simpa only [<a>add_comm</a> d] using <a>integral_comp_add_right</a> f d", [{"full_name": "add_comm", "def_path": "Mathlib/Algebra/Group/Defs.lean", "def_pos": [301, 3], "def_end_pos": [301, 14]}, {"full_name": "intervalIntegr... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Real/CauSeqCompletion.lean | CauSeq.Completion.cau_seq_zero_ne_one | [
242,
1
] | [
245,
47
] | [{"tactic": "simpa", "annotated_tactic": ["simpa", []], "state_before": "\u03b1 : Type u_1\ninst\u271d\u00b2 : LinearOrderedField \u03b1\n\u03b2 : Type u_2\ninst\u271d\u00b9 : DivisionRing \u03b2\nabv : \u03b2 \u2192 \u03b1\ninst\u271d : IsAbsoluteValue abv\nh : 0 \u2248 1\nthis : LimZero (1 - 0)\n\u22a2 LimZero 1", "s... |
https://github.com/leanprover/std4 | 869c615eb10130c0637a7bc038e2b80253559913 | lake-packages/std/Std/Data/List/Lemmas.lean | List.exists_of_modifyNthTail | [
864,
1
] | [
868,
58
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/NumberTheory/Liouville/LiouvilleWith.lean | LiouvilleWith.sub_int | [
274,
1
] | [
275,
18
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Normed/Field/Basic.lean | Real.toNNReal_mul_nnnorm | [
809,
1
] | [
812,
12
] | [{"tactic": "ext", "annotated_tactic": ["ext", []], "state_before": "\u03b1 : Type u_1\n\u03b2 : Type u_2\n\u03b3 : Type u_3\n\u03b9 : Type u_4\nx y : \u211d\nhx : 0 \u2264 x\n\u22a2 toNNReal x * \u2016y\u2016\u208a = \u2016x * y\u2016\u208a", "state_after": "case a\n\u03b1 : Type u_1\n\u03b2 : Type u_2\n\u03b3 : Type ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/SuccPred/Basic.lean | Order.pred_le_le_iff | [
780,
1
] | [
786,
30
] | [{"tactic": "refine'\n \u27e8fun h =>\n or_iff_not_imp_left.2 fun hba : b \u2260 a => (le_pred_of_lt <| h.2.lt_of_ne hba).antisymm h.1, _\u27e9", "annotated_tactic": ["refine'\n \u27e8fun h =>\n <a>or_iff_not_imp_left</a>.2 fun hba : b \u2260 a => (<a>le_pred_of_lt</a> <| h.2.<a>lt_of_ne</a> hba).<a>antisym... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Multiset/Fintype.lean | Multiset.image_toEnumFinset_fst | [
225,
1
] | [
227,
51
] | [{"tactic": "rw [Finset.image, Multiset.map_toEnumFinset_fst]", "annotated_tactic": ["rw [<a>Finset.image</a>, <a>Multiset.map_toEnumFinset_fst</a>]", [{"full_name": "Finset.image", "def_path": "Mathlib/Data/Finset/Image.lean", "def_pos": [313, 5], "def_end_pos": [313, 10]}, {"full_name": "Multiset.map_toEnumFinset_fst... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Convex/Join.lean | convexJoin_subset | [
118,
1
] | [
119,
92
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/GroupTheory/Perm/Cycle/Basic.lean | Equiv.Perm.isCycle_iff_exists_isCycleOn | [
821,
1
] | [
828,
64
] | [{"tactic": "refine' \u27e8fun hf => \u27e8{ x | f x \u2260 x }, _, hf.isCycleOn, fun _ => id\u27e9, _\u27e9", "annotated_tactic": ["refine' \u27e8fun hf => \u27e8{ x | f x \u2260 x }, _, hf.isCycleOn, fun _ => <a>id</a>\u27e9, _\u27e9", [{"full_name": "id", "def_path": "lake-packages/lean4/src/lean/Init/Prelude.lean",... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Ordmap/Ordset.lean | Ordnode.dual_rotateR | [
339,
1
] | [
341,
71
] | [{"tactic": "rw [\u2190 dual_dual (rotateL _ _ _), dual_rotateL, dual_dual, dual_dual]", "annotated_tactic": ["rw [\u2190 <a>dual_dual</a> (<a>rotateL</a> _ _ _), <a>dual_rotateL</a>, <a>dual_dual</a>, <a>dual_dual</a>]", [{"full_name": "Ordnode.dual_dual", "def_path": "Mathlib/Data/Ordmap/Ordset.lean", "def_pos": [150... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Int/Order/Units.lean | Int.units_pow_eq_pow_mod_two | [
64,
1
] | [
68,
56
] | [{"tactic": "conv =>\n lhs\n rw [\u2190 Nat.mod_add_div n 2];\n rw [pow_add, pow_mul, units_sq, one_pow, mul_one]", "annotated_tactic": ["conv =>\n lhs\n rw [\u2190 <a>Nat.mod_add_div</a> n 2];\n rw [<a>pow_add</a>, <a>pow_mul</a>, <a>units_sq</a>, <a>one_pow</a>, <a>mul_one</a>]", [{"full_name"... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/MvPolynomial/Symmetric.lean | MvPolynomial.degrees_esymm | [
262,
1
] | [
279,
60
] | [{"tactic": "have :\n (Finsupp.toMultiset \u2218 fun t : Finset \u03c3 => \u2211 i : \u03c3 in t, Finsupp.single i 1) = Finset.val := by\n funext\n simp [Finsupp.toMultiset_sum_single]", "annotated_tactic": ["have :\n (<a>Finsupp.toMultiset</a> \u2218 fun t : <a>Finset</a> \u03c3 => \u2211 i : \u03c3 in t, <a>F... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Real/Sign.lean | Real.sign_eq_zero_iff | [
64,
1
] | [
71,
31
] | [{"tactic": "refine' \u27e8fun h => _, fun h => h.symm \u25b8 sign_zero\u27e9", "annotated_tactic": ["refine' \u27e8fun h => _, fun h => h.symm \u25b8 <a>sign_zero</a>\u27e9", [{"full_name": "Real.sign_zero", "def_path": "Mathlib/Data/Real/Sign.lean", "def_pos": [43, 9], "def_end_pos": [43, 18]}]], "state_before": "r :... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Group/Units.lean | isUnit_of_subsingleton | [
598,
1
] | [
599,
62
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/BoxIntegral/Basic.lean | BoxIntegral.integral_smul | [
363,
1
] | [
368,
65
] | [{"tactic": "rcases eq_or_ne c 0 with (rfl | hc)", "annotated_tactic": ["rcases <a>eq_or_ne</a> c 0 with (rfl | hc)", [{"full_name": "eq_or_ne", "def_path": "Mathlib/Logic/Basic.lean", "def_pos": [209, 9], "def_end_pos": [209, 17]}]], "state_before": "\u03b9 : Type u\nE : Type v\nF : Type w\ninst\u271d\u2074 : NormedAd... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Algebra/InfiniteSum/Basic.lean | Finset.tsum_subtype | [
550,
1
] | [
552,
42
] | [{"tactic": "rw [\u2190 sum_attach]", "annotated_tactic": ["rw [\u2190 <a>sum_attach</a>]", [{"full_name": "Finset.sum_attach", "def_path": "Mathlib/Algebra/BigOperators/Basic.lean", "def_pos": [851, 3], "def_end_pos": [851, 14]}]], "state_before": "\u03b1 : Type u_1\n\u03b2 : Type u_2\n\u03b3 : Type u_3\n\u03b4 : Type... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/WittVector/Truncated.lean | TruncatedWittVector.truncate_wittVector_truncate | [
384,
1
] | [
386,
50
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/BigOperators/Basic.lean | Multiset.toFinset_sum_count_nsmul_eq | [
2159,
1
] | [
2161,
67
] | [{"tactic": "rw [\u2190 Finset.sum_multiset_map_count, Multiset.sum_map_singleton]", "annotated_tactic": ["rw [\u2190 <a>Finset.sum_multiset_map_count</a>, <a>Multiset.sum_map_singleton</a>]", [{"full_name": "Finset.sum_multiset_map_count", "def_path": "Mathlib/Algebra/BigOperators/Basic.lean", "def_pos": [1318, 3], "d... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/MvPolynomial/Monad.lean | MvPolynomial.eval₂Hom_bind₂ | [
323,
1
] | [
325,
50
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Dynamics/OmegaLimit.lean | mapsTo_omegaLimit | [
105,
1
] | [
109,
74
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/AlgebraicGeometry/PrimeSpectrum/Basic.lean | PrimeSpectrum.image_comap_zeroLocus_eq_zeroLocus_comap | [
707,
1
] | [
723,
42
] | [{"tactic": "simp only [Set.ext_iff, Set.mem_image, mem_zeroLocus, SetLike.coe_subset_coe]", "annotated_tactic": ["simp only [<a>Set.ext_iff</a>, <a>Set.mem_image</a>, <a>mem_zeroLocus</a>, <a>SetLike.coe_subset_coe</a>]", [{"full_name": "Set.ext_iff", "def_path": "Mathlib/Data/Set/Basic.lean", "def_pos": [241, 9], "de... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/VectorBundle/Basic.lean | VectorBundleCore.localTriv_coordChange_eq | [
726,
1
] | [
729,
50
] | [{"tactic": "rw [Trivialization.coordChangeL_apply', localTriv_symm_fst, localTriv_apply, coordChange_comp]", "annotated_tactic": ["rw [<a>Trivialization.coordChangeL_apply'</a>, <a>localTriv_symm_fst</a>, <a>localTriv_apply</a>, <a>coordChange_comp</a>]", [{"full_name": "Trivialization.coordChangeL_apply'", "def_path"... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Option/Defs.lean | Option.mem_toList | [
116,
1
] | [
117,
37
] | [{"tactic": "cases o <;> simp [toList, eq_comm]", "annotated_tactic": ["cases o <;> simp [<a>toList</a>, <a>eq_comm</a>]", [{"full_name": "Option.toList", "def_path": "lake-packages/std/Std/Data/Option/Basic.lean", "def_pos": [58, 15], "def_end_pos": [58, 21]}, {"full_name": "eq_comm", "def_path": "lake-packages/std/St... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Limits/Shapes/Pullbacks.lean | CategoryTheory.Limits.pullbackAssoc_inv_fst_snd | [
2435,
1
] | [
2438,
53
] | [{"tactic": "rw [Iso.inv_comp_eq, pullbackAssoc_hom_snd_fst]", "annotated_tactic": ["rw [<a>Iso.inv_comp_eq</a>, <a>pullbackAssoc_hom_snd_fst</a>]", [{"full_name": "CategoryTheory.Iso.inv_comp_eq", "def_path": "Mathlib/CategoryTheory/Iso.lean", "def_pos": [214, 9], "def_end_pos": [214, 20]}, {"full_name": "CategoryTheo... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Basic.lean | dense_or_discrete | [
1353,
1
] | [
1357,
57
] | [] |
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