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/Convex/Basic.lean | convex_Icc | [
290,
1
] | [
291,
61
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Lattice.lean | Prod.swap_sup | [
1345,
1
] | [
1346,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Logic/Equiv/Fin.lean | finSumFinEquiv_symm_apply_castAdd | [
339,
1
] | [
341,
46
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/BigOperators/Multiset/Basic.lean | Multiset.prod_map_neg | [
202,
1
] | [
204,
35
] | [{"tactic": "simp", "annotated_tactic": ["simp", []], "state_before": "\u03b9 : Type u_1\n\u03b1 : Type u_2\n\u03b2 : Type u_3\n\u03b3 : Type u_4\ninst\u271d\u00b9 : CommMonoid \u03b1\ns\u271d t : Multiset \u03b1\na : \u03b1\nm : Multiset \u03b9\nf g : \u03b9 \u2192 \u03b1\ninst\u271d : HasDistribNeg \u03b1\ns : Multis... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Support.lean | Function.mulSupport_subset_comp | [
205,
1
] | [
206,
56
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/InnerProductSpace/PiL2.lean | finrank_euclideanSpace | [
159,
1
] | [
161,
38
] | [{"tactic": "simp [EuclideanSpace, PiLp, WithLp]", "annotated_tactic": ["simp [<a>EuclideanSpace</a>, <a>PiLp</a>, <a>WithLp</a>]", [{"full_name": "EuclideanSpace", "def_path": "Mathlib/Analysis/InnerProductSpace/PiL2.lean", "def_pos": [114, 5], "def_end_pos": [114, 19]}, {"full_name": "PiLp", "def_path": "Mathlib/Anal... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/Dual.lean | Subspace.dualPairing_eq | [
1427,
1
] | [
1430,
6
] | [{"tactic": "ext", "annotated_tactic": ["ext", []], "state_before": "K : Type uK\ninst\u271d\u2074 : Field K\nV\u2081 : Type uV\u2081\nV\u2082 : Type uV\u2082\ninst\u271d\u00b3 : AddCommGroup V\u2081\ninst\u271d\u00b2 : Module K V\u2081\ninst\u271d\u00b9 : AddCommGroup V\u2082\ninst\u271d : Module K V\u2082\nW : Subspa... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/CompleteLattice.lean | Monotone.le_map_iSup | [
997,
1
] | [
999,
37
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Int/CharZero.lean | Int.cast_injective | [
38,
1
] | [
39,
23
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Geometry/Manifold/PartitionOfUnity.lean | SmoothPartitionOfUnity.exists_pos_of_mem | [
161,
1
] | [
167,
8
] | [{"tactic": "by_contra h", "annotated_tactic": ["by_contra h", []], "state_before": "\u03b9 : Type u\u03b9\nE : Type uE\ninst\u271d\u2078 : NormedAddCommGroup E\ninst\u271d\u2077 : NormedSpace \u211d E\ninst\u271d\u2076 : FiniteDimensional \u211d E\nF : Type uF\ninst\u271d\u2075 : NormedAddCommGroup F\ninst\u271d\u2074... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Category/GroupCat/Limits.lean | AddCommGroupCat.kernelIsoKer_inv_comp_ι | [
449,
1
] | [
452,
22
] | [{"tactic": "ext", "annotated_tactic": ["ext", []], "state_before": "J : Type v\ninst\u271d : SmallCategory J\nG H : AddCommGroupCat\nf : G \u27f6 H\n\u22a2 (kernelIsoKer f).inv \u226b kernel.\u03b9 f = AddSubgroup.subtype (AddMonoidHom.ker f)", "state_after": "case w\nJ : Type v\ninst\u271d : SmallCategory J\nG H : Ad... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/GroupPower/Order.lean | sq_abs | [
680,
1
] | [
680,
88
] | [{"tactic": "simpa only [sq] using abs_mul_abs_self x", "annotated_tactic": ["simpa only [<a>sq</a>] using <a>abs_mul_abs_self</a> x", [{"full_name": "sq", "def_path": "Mathlib/Algebra/GroupPower/Basic.lean", "def_pos": [106, 7], "def_end_pos": [106, 9]}, {"full_name": "abs_mul_abs_self", "def_path": "Mathlib/Algebra/O... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/GradedAlgebra/HomogeneousIdeal.lean | Ideal.IsHomogeneous.mul | [
452,
1
] | [
457,
88
] | [{"tactic": "rw [Ideal.IsHomogeneous.iff_exists] at HI HJ \u22a2", "annotated_tactic": ["rw [<a>Ideal.IsHomogeneous.iff_exists</a>] at HI HJ \u22a2", [{"full_name": "Ideal.IsHomogeneous.iff_exists", "def_path": "Mathlib/RingTheory/GradedAlgebra/HomogeneousIdeal.lean", "def_pos": [225, 9], "def_end_pos": [225, 39]}]], "... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/NumberTheory/VonMangoldt.lean | Nat.ArithmeticFunction.vonMangoldt_nonneg | [
79,
1
] | [
83,
6
] | [{"tactic": "rw [vonMangoldt_apply]", "annotated_tactic": ["rw [<a>vonMangoldt_apply</a>]", [{"full_name": "Nat.ArithmeticFunction.vonMangoldt_apply", "def_path": "Mathlib/NumberTheory/VonMangoldt.lean", "def_pos": [70, 9], "def_end_pos": [70, 26]}]], "state_before": "n : \u2115\n\u22a2 0 \u2264 \u2191\u039b n", "state... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Calculus/Deriv/Pi.lean | deriv_update | [
28,
1
] | [
30,
34
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/SetTheory/Cardinal/Basic.lean | Cardinal.mk_sum | [
445,
1
] | [
446,
56
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/GroupTheory/OrderOfElement.lean | orderOf_eq_zero_iff' | [
179,
1
] | [
180,
82
] | [{"tactic": "simp_rw [orderOf_eq_zero_iff, isOfFinOrder_iff_pow_eq_one, not_exists, not_and]", "annotated_tactic": ["simp_rw [<a>orderOf_eq_zero_iff</a>, <a>isOfFinOrder_iff_pow_eq_one</a>, <a>not_exists</a>, <a>not_and</a>]", [{"full_name": "orderOf_eq_zero_iff", "def_path": "Mathlib/GroupTheory/OrderOfElement.lean", ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Filter/Pi.lean | Filter.NeBot.coprodᵢ | [
239,
1
] | [
240,
29
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/MonoidAlgebra/Basic.lean | AddMonoidAlgebra.coe_algebraMap | [
1937,
1
] | [
1939,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Basic.lean | Set.insert_subset_iff | [
1169,
1
] | [
1170,
72
] | [{"tactic": "simp only [subset_def, mem_insert_iff, or_imp, forall_and, forall_eq]", "annotated_tactic": ["simp only [<a>subset_def</a>, <a>mem_insert_iff</a>, <a>or_imp</a>, <a>forall_and</a>, <a>forall_eq</a>]", [{"full_name": "Set.subset_def", "def_path": "Mathlib/Data/Set/Basic.lean", "def_pos": [345, 9], "def_end_... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Geometry/Manifold/ContMDiff.lean | contMDiffWithinAt_id | [
1197,
1
] | [
1198,
35
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Filter/Basic.lean | Filter.iInf_sets_induct | [
958,
1
] | [
968,
27
] | [{"tactic": "rw [mem_iInf_finite'] at hs", "annotated_tactic": ["rw [<a>mem_iInf_finite'</a>] at hs", [{"full_name": "Filter.mem_iInf_finite'", "def_path": "Mathlib/Order/Filter/Basic.lean", "def_pos": [863, 9], "def_end_pos": [863, 25]}]], "state_before": "\u03b1 : Type u\n\u03b2 : Type v\n\u03b3 : Type w\n\u03b4 : Ty... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/Finsupp.lean | Finsupp.ker_lsingle | [
129,
1
] | [
130,
47
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/NumberTheory/Zsqrtd/Basic.lean | Zsqrtd.bit0_im | [
136,
1
] | [
137,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Convex/Side.lean | AffineSubspace.wOppSide_iff_exists_left | [
476,
1
] | [
493,
32
] | [{"tactic": "constructor", "annotated_tactic": ["constructor", []], "state_before": "R : Type u_1\nV : Type u_2\nV' : Type u_3\nP : Type u_4\nP' : Type u_5\ninst\u271d\u2076 : LinearOrderedField R\ninst\u271d\u2075 : AddCommGroup V\ninst\u271d\u2074 : Module R V\ninst\u271d\u00b3 : AddTorsor V P\ninst\u271d\u00b2 : Add... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Lattice.lean | Set.iUnion_iInter_ge_nat_add | [
2371,
1
] | [
2373,
27
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Filter/Extr.lean | IsExtrOn.neg | [
499,
1
] | [
500,
60
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Hom/Basic.lean | OrderIso.isCompl_iff | [
1369,
1
] | [
1370,
87
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Connected/Basic.lean | isConnected_iff_sUnion_disjoint_open | [
1042,
1
] | [
1060,
49
] | [{"tactic": "rw [IsConnected, isPreconnected_iff_subset_of_disjoint]", "annotated_tactic": ["rw [<a>IsConnected</a>, <a>isPreconnected_iff_subset_of_disjoint</a>]", [{"full_name": "IsConnected", "def_path": "Mathlib/Topology/Connected/Basic.lean", "def_pos": [57, 5], "def_end_pos": [57, 16]}, {"full_name": "isPreconnec... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Int/ModEq.lean | Int.add_modEq_left | [
260,
1
] | [
260,
88
] | [{"tactic": "simp", "annotated_tactic": ["simp", []], "state_before": "m n a b c d : \u2124\n\u22a2 n \u2223 n + a - a", "state_after": "no goals"}] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/AlgebraicGeometry/Morphisms/FiniteType.lean | AlgebraicGeometry.LocallyOfFiniteType.affine_openCover_iff | [
74,
1
] | [
78,
88
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Homeomorph.lean | Homeomorph.nhds_eq_comap | [
425,
1
] | [
426,
29
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/FiberBundle/Basic.lean | FiberBundle.exists_trivialization_Icc_subset | [
317,
1
] | [
381,
88
] | [{"tactic": "obtain \u27e8ea, hea\u27e9 : \u2203 ea : Trivialization F (\u03c0 F E), a \u2208 ea.baseSet :=\n \u27e8trivializationAt F E a, mem_baseSet_trivializationAt F E a\u27e9", "annotated_tactic": ["obtain \u27e8ea, hea\u27e9 : \u2203 ea : <a>Trivialization</a> F (\u03c0 F E), a \u2208 ea.baseSet :=\n \u27e8<... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Image.lean | Set.preimage_iterate_eq | [
171,
1
] | [
173,
61
] | [{"tactic": "induction' n with n ih", "annotated_tactic": ["induction' n with n ih", []], "state_before": "\u03b1 : Type u_1\n\u03b2 : Type u_2\n\u03b3 : Type u_3\n\u03b9 : Sort u_4\n\u03b9' : Sort u_5\nf\u271d : \u03b1 \u2192 \u03b2\ng : \u03b2 \u2192 \u03b3\nf : \u03b1 \u2192 \u03b1\nn : \u2115\n\u22a2 preimage f^[n]... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Logic/Function/Basic.lean | Function.Involutive.injective | [
902,
11
] | [
902,
69
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/List/Basic.lean | List.scanl_nil | [
2531,
1
] | [
2532,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Monoidal/Rigid/Basic.lean | CategoryTheory.tensorLeftHomEquiv_id_tensor_comp_evaluation | [
502,
1
] | [
509,
7
] | [{"tactic": "dsimp [tensorLeftHomEquiv]", "annotated_tactic": ["dsimp [<a>tensorLeftHomEquiv</a>]", [{"full_name": "CategoryTheory.tensorLeftHomEquiv", "def_path": "Mathlib/CategoryTheory/Monoidal/Rigid/Basic.lean", "def_pos": [301, 5], "def_end_pos": [301, 23]}]], "state_before": "C : Type u\u2081\ninst\u271d\u00b2 : ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/NumberTheory/Liouville/LiouvilleWith.lean | LiouvilleWith.sub_rat_iff | [
261,
1
] | [
262,
51
] | [{"tactic": "rw [sub_eq_add_neg, \u2190 Rat.cast_neg, add_rat_iff]", "annotated_tactic": ["rw [<a>sub_eq_add_neg</a>, \u2190 <a>Rat.cast_neg</a>, <a>add_rat_iff</a>]", [{"full_name": "sub_eq_add_neg", "def_path": "Mathlib/Algebra/Group/Defs.lean", "def_pos": [975, 3], "def_end_pos": [975, 14]}, {"full_name": "Rat.cast_... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Normed/Group/Basic.lean | pi_norm_le_iff_of_nonneg' | [
2525,
1
] | [
2526,
64
] | [{"tactic": "simp only [\u2190 dist_one_right, dist_pi_le_iff hr, Pi.one_apply]", "annotated_tactic": ["simp only [\u2190 <a>dist_one_right</a>, <a>dist_pi_le_iff</a> hr, <a>Pi.one_apply</a>]", [{"full_name": "dist_one_right", "def_path": "Mathlib/Analysis/Normed/Group/Basic.lean", "def_pos": [396, 9], "def_end_pos": [... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Real/CauSeq.lean | CauSeq.const_le | [
786,
1
] | [
787,
60
] | [{"tactic": "rw [le_iff_lt_or_eq]", "annotated_tactic": ["rw [<a>le_iff_lt_or_eq</a>]", [{"full_name": "le_iff_lt_or_eq", "def_path": "Mathlib/Init/Order/Defs.lean", "def_pos": [232, 9], "def_end_pos": [232, 24]}]], "state_before": "\u03b1 : Type u_1\ninst\u271d : LinearOrderedField \u03b1\nx y : \u03b1\n\u22a2 const x... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Finset/Basic.lean | Finset.erase_injOn | [
2051,
1
] | [
2051,
96
] | [] |
https://github.com/leanprover/std4 | 869c615eb10130c0637a7bc038e2b80253559913 | lake-packages/std/Std/Data/List/Init/Lemmas.lean | List.foldrM_cons | [
196,
9
] | [
199,
27
] | [{"tactic": "simp only [foldrM]", "annotated_tactic": ["simp only [<a>foldrM</a>]", [{"full_name": "List.foldrM", "def_path": "lake-packages/lean4/src/lean/Init/Data/List/Control.lean", "def_pos": [101, 5], "def_end_pos": [101, 11]}]], "state_before": "m : Type u_1 \u2192 Type u_2\n\u03b1 : Type u_3\n\u03b2 : Type u_1\... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/CliffordAlgebra/Conjugation.lean | CliffordAlgebra.op_reverse | [
110,
9
] | [
110,
89
] | [] |
https://github.com/leanprover/std4 | 869c615eb10130c0637a7bc038e2b80253559913 | lake-packages/std/Std/Data/Array/Init/Lemmas.lean | Array.size_mapM | [
181,
1
] | [
183,
73
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Num/Lemmas.lean | Num.castNum_or | [
925,
1
] | [
929,
45
] | [{"tactic": "apply castNum_eq_bitwise fun x y => pos (PosNum.lor x y) <;>\n intros <;> (try cases_type* Bool) <;> rfl", "annotated_tactic": ["apply <a>castNum_eq_bitwise</a> fun x y => <a>pos</a> (<a>PosNum.lor</a> x y) <;>\n intros <;> (try cases_type* <a>Bool</a>) <;> rfl", [{"full_name": "Num.castNum_eq_bitwise", ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/ModelTheory/Satisfiability.lean | FirstOrder.Language.exists_elementarilyEquivalent_card_eq | [
275,
1
] | [
280,
51
] | [{"tactic": "obtain \u27e8N, NM | MN, hN\u03ba\u27e9 := exists_elementaryEmbedding_card_eq L M \u03ba h1 h2", "annotated_tactic": ["obtain \u27e8N, NM | MN, hN\u03ba\u27e9 := <a>exists_elementaryEmbedding_card_eq</a> L M \u03ba h1 h2", [{"full_name": "FirstOrder.Language.exists_elementaryEmbedding_card_eq", "def_path":... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Calculus/ContDiffDef.lean | contDiffOn_all_iff_nat | [
697,
1
] | [
700,
35
] | [{"tactic": "refine' \u27e8fun H n => H n, _\u27e9", "annotated_tactic": ["refine' \u27e8fun H n => H n, _\u27e9", []], "state_before": "\ud835\udd5c : Type u\ninst\u271d\u2078 : NontriviallyNormedField \ud835\udd5c\nE : Type uE\ninst\u271d\u2077 : NormedAddCommGroup E\ninst\u271d\u2076 : NormedSpace \ud835\udd5c E\nF ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Calculus/LocalExtr/Basic.lean | IsLocalExtr.deriv_eq_zero | [
259,
1
] | [
260,
59
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/MetricSpace/HausdorffDimension.lean | le_dimH_of_hausdorffMeasure_eq_top | [
133,
1
] | [
135,
48
] | [{"tactic": "rw [dimH_def]", "annotated_tactic": ["rw [<a>dimH_def</a>]", [{"full_name": "dimH_def", "def_path": "Mathlib/Topology/MetricSpace/HausdorffDimension.lean", "def_pos": [110, 9], "def_end_pos": [110, 17]}]], "state_before": "\u03b9 : Type u_1\nX : Type u_2\nY : Type u_3\ninst\u271d\u00b3 : EMetricSpace X\nin... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/MetricSpace/HausdorffDistance.lean | Metric.infDist_lt_iff | [
517,
1
] | [
519,
70
] | [{"tactic": "simp_rw [infDist, \u2190 ENNReal.lt_ofReal_iff_toReal_lt (infEdist_ne_top hs), infEdist_lt_iff,\n ENNReal.lt_ofReal_iff_toReal_lt (edist_ne_top _ _), \u2190 dist_edist]", "annotated_tactic": ["simp_rw [<a>infDist</a>, \u2190 <a>ENNReal.lt_ofReal_iff_toReal_lt</a> (<a>infEdist_ne_top</a> hs), <a>infEdist_l... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Basic.lean | Set.mem_diff_singleton | [
2101,
1
] | [
2102,
10
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Algebra/Monoid.lean | continuousMul_of_comm_of_nhds_one | [
296,
1
] | [
301,
31
] | [{"tactic": "apply ContinuousMul.of_nhds_one hmul hleft", "annotated_tactic": ["apply <a>ContinuousMul.of_nhds_one</a> hmul hleft", [{"full_name": "ContinuousMul.of_nhds_one", "def_path": "Mathlib/Topology/Algebra/Monoid.lean", "def_pos": [264, 9], "def_end_pos": [264, 34]}]], "state_before": "\u03b9 : Type u_1\n\u03b1... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/List/MinMax.lean | List.minimum_ne_top_of_ne_nil | [
415,
1
] | [
416,
38
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/List/Perm.lean | List.Subperm.exists_of_length_lt | [
714,
1
] | [
726,
63
] | [{"tactic": "suffices length l < length l\u2082 \u2192 \u2203 a : \u03b1, a :: l <+~ l\u2082 from\n (this <| p.symm.length_eq \u25b8 h).imp fun a => (p.cons a).subperm_right.1", "annotated_tactic": ["suffices <a>length</a> l < <a>length</a> l\u2082 \u2192 \u2203 a : \u03b1, a :: l <+~ l\u2082 from\n (this <| p.sy... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Module/Torsion.lean | Submodule.torsionBy_isInternal | [
499,
1
] | [
506,
66
] | [{"tactic": "rw [\u2190 Module.isTorsionBySet_span_singleton_iff, Ideal.submodule_span_eq, \u2190\n Ideal.finset_inf_span_singleton _ _ hq, Finset.inf_eq_iInf] at hM", "annotated_tactic": ["rw [\u2190 <a>Module.isTorsionBySet_span_singleton_iff</a>, <a>Ideal.submodule_span_eq</a>, \u2190\n <a>Ideal.finset_inf_span_... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Regular/SMul.lean | IsSMulRegular.zero_iff_subsingleton | [
193,
1
] | [
194,
71
] | [] |
https://github.com/leanprover/std4 | 869c615eb10130c0637a7bc038e2b80253559913 | lake-packages/std/Std/Data/Option/Lemmas.lean | Option.liftOrGet_some_some | [
194,
9
] | [
195,
47
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Algebra/UniformGroup.lean | uniformContinuous_mul | [
110,
1
] | [
111,
50
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Geometry/RingedSpace/PresheafedSpace/HasColimits.lean | AlgebraicGeometry.PresheafedSpace.ColimitCoconeIsColimit.desc_fac | [
299,
1
] | [
309,
9
] | [{"tactic": "ext U", "annotated_tactic": ["ext U", []], "state_before": "J : Type u'\ninst\u271d\u2074 : Category.{v', u'} J\nC : Type u\ninst\u271d\u00b3 : Category.{v, u} C\ninst\u271d\u00b2 : HasColimitsOfShape J TopCat\ninst\u271d\u00b9 : \u2200 (X : TopCat), HasLimitsOfShape J\u1d52\u1d56 (Presheaf C X)\ninst\u271... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/SetTheory/Cardinal/Ordinal.lean | Cardinal.add_mk_eq_max' | [
743,
1
] | [
744,
31
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/FiniteDimensional.lean | rank_eq_zero | [
674,
1
] | [
680,
34
] | [{"tactic": "rw [h, rank_bot]", "annotated_tactic": ["rw [h, <a>rank_bot</a>]", [{"full_name": "rank_bot", "def_path": "Mathlib/LinearAlgebra/Dimension.lean", "def_pos": [286, 9], "def_end_pos": [286, 17]}]], "state_before": "K : Type u\nV : Type v\ninst\u271d\u00b2 : DivisionRing K\ninst\u271d\u00b9 : AddCommGroup V\n... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Order/Field/Basic.lean | le_div_iff' | [
141,
1
] | [
141,
92
] | [{"tactic": "rw [mul_comm, le_div_iff hc]", "annotated_tactic": ["rw [<a>mul_comm</a>, <a>le_div_iff</a> hc]", [{"full_name": "mul_comm", "def_path": "Mathlib/Algebra/Group/Defs.lean", "def_pos": [302, 9], "def_end_pos": [302, 17]}, {"full_name": "le_div_iff", "def_path": "Mathlib/Algebra/Order/Field/Basic.lean", "def_... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/GCDMonoid/Finset.lean | Finset.gcd_empty | [
146,
1
] | [
147,
13
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/List/EditDistance/Defs.lean | suffixLevenshtein_cons₁_aux | [
200,
1
] | [
203,
45
] | [{"tactic": "match x, y with\n| \u27e8hx :: tx, _\u27e9, \u27e8hy :: ty, _\u27e9 => simp_all", "annotated_tactic": ["match x, y with\n | \u27e8hx :: tx, _\u27e9, \u27e8hy :: ty, _\u27e9 => simp_all", []], "state_before": "\u03b1 : Type u_1\n\u03b2 : Type u_2\n\u03b4 : Type u_3\ninst\u271d\u00b9 : AddZeroClass \u03b4\n... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Setoid/Basic.lean | Setoid.bot_def | [
190,
1
] | [
191,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/GroupTheory/Subsemigroup/Centralizer.lean | Set.one_mem_centralizer | [
56,
1
] | [
57,
29
] | [{"tactic": "simp [mem_centralizer_iff]", "annotated_tactic": ["simp [<a>mem_centralizer_iff</a>]", [{"full_name": "Set.mem_centralizer_iff", "def_path": "Mathlib/GroupTheory/Subsemigroup/Centralizer.lean", "def_pos": [42, 9], "def_end_pos": [42, 28]}]], "state_before": "M : Type u_1\nS T : Set M\ninst\u271d : MulOneCl... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Real/ENNReal.lean | ENNReal.iUnion_Icc_coe_nat | [
911,
1
] | [
912,
75
] | [{"tactic": "simp only [\u2190 Ici_inter_Iic, \u2190 inter_iUnion, iUnion_Iic_coe_nat, diff_eq]", "annotated_tactic": ["simp only [\u2190 <a>Ici_inter_Iic</a>, \u2190 <a>inter_iUnion</a>, <a>iUnion_Iic_coe_nat</a>, <a>diff_eq</a>]", [{"full_name": "Set.Ici_inter_Iic", "def_path": "Mathlib/Data/Set/Intervals/Basic.lean"... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Pointwise/SMul.lean | Set.set_smul_subset_set_smul_iff₀ | [
1036,
1
] | [
1037,
68
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Nat/Pow.lean | Nat.pow_le_iff_le_left | [
135,
1
] | [
136,
47
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Combinatorics/Derangements/Basic.lean | mem_derangements_iff_fixedPoints_eq_empty | [
39,
1
] | [
41,
39
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/UniformSpace/UniformConvergenceTopology.lean | UniformFun.precomp_uniformContinuous | [
453,
11
] | [
461,
55
] | [{"tactic": "rw [uniformContinuous_iff]", "annotated_tactic": ["rw [<a>uniformContinuous_iff</a>]", [{"full_name": "uniformContinuous_iff", "def_path": "Mathlib/Topology/UniformSpace/Basic.lean", "def_pos": [1303, 9], "def_end_pos": [1303, 30]}]], "state_before": "\u03b1 : Type u_1\n\u03b2 : Type u_2\n\u03b3 : Type u_3... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/Basis.lean | Basis.ne_zero | [
565,
11
] | [
566,
32
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/Matrix/Charpoly/Coeff.lean | Matrix.eval_det | [
183,
1
] | [
190,
34
] | [{"tactic": "rw [Polynomial.eval, \u2190 coe_eval\u2082RingHom, RingHom.map_det]", "annotated_tactic": ["rw [<a>Polynomial.eval</a>, \u2190 <a>coe_eval\u2082RingHom</a>, <a>RingHom.map_det</a>]", [{"full_name": "Polynomial.eval", "def_path": "Mathlib/Data/Polynomial/Eval.lean", "def_pos": [314, 5], "def_end_pos": [314,... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Lie/Submodule.lean | LieSubmodule.range_incl | [
1385,
1
] | [
1385,
89
] | [{"tactic": "simp [\u2190 LieSubmodule.coe_toSubmodule_eq_iff]", "annotated_tactic": ["simp [\u2190 <a>LieSubmodule.coe_toSubmodule_eq_iff</a>]", [{"full_name": "LieSubmodule.coe_toSubmodule_eq_iff", "def_path": "Mathlib/Algebra/Lie/Submodule.lean", "def_pos": [147, 9], "def_end_pos": [147, 31]}]], "state_before": "R :... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Quandle.lean | ShelfHom.comp_apply | [
391,
1
] | [
392,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Complex/Module.lean | Complex.coe_basisOneI | [
134,
1
] | [
142,
101
] | [{"tactic": "fin_cases i <;> fin_cases j <;>\n simp [coe_basisOneI_repr, Finsupp.single_eq_of_ne, Matrix.cons_val_zero,\n Matrix.cons_val_one, Matrix.head_cons, Fin.one_eq_zero_iff, Ne.def, not_false_iff, I_re,\n Nat.succ_succ_ne_one, one_im, I_im, one_re, Finsupp.single_eq_same, Fin.zero_eq_one_iff]", "annotate... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Pointwise/Interval.lean | Set.preimage_const_mul_Ico | [
628,
1
] | [
629,
80
] | [{"tactic": "simp [\u2190 Ici_inter_Iio, h]", "annotated_tactic": ["simp [\u2190 <a>Ici_inter_Iio</a>, h]", [{"full_name": "Set.Ici_inter_Iio", "def_path": "Mathlib/Data/Set/Intervals/Basic.lean", "def_pos": [622, 9], "def_end_pos": [622, 22]}]], "state_before": "\u03b1 : Type u_1\ninst\u271d : LinearOrderedField \u03b... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Integral/SetToL1.lean | MeasureTheory.setToFun_zero_left | [
1351,
1
] | [
1355,
31
] | [{"tactic": "by_cases hf : Integrable f \u03bc", "annotated_tactic": ["by_cases hf : <a>Integrable</a> f \u03bc", [{"full_name": "MeasureTheory.Integrable", "def_path": "Mathlib/MeasureTheory/Function/L1Space.lean", "def_pos": [442, 5], "def_end_pos": [442, 15]}]], "state_before": "\u03b1 : Type u_1\nE : Type u_2\nF : ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Convex/Join.lean | convexJoin_empty_right | [
63,
1
] | [
63,
90
] | [{"tactic": "simp [convexJoin]", "annotated_tactic": ["simp [<a>convexJoin</a>]", [{"full_name": "convexJoin", "def_path": "Mathlib/Analysis/Convex/Join.lean", "def_pos": [32, 5], "def_end_pos": [32, 15]}]], "state_before": "\u03b9 : Sort u_1\n\ud835\udd5c : Type u_2\nE : Type u_3\ninst\u271d\u00b2 : OrderedSemiring \u... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/UniformSpace/Separation.lean | separated_iff_t2 | [
199,
1
] | [
207,
49
] | [{"tactic": "constructor <;> intro h", "annotated_tactic": ["constructor <;> intro h", []], "state_before": "\u03b1 : Type u\n\u03b2 : Type v\n\u03b3 : Type w\ninst\u271d\u00b2 : UniformSpace \u03b1\ninst\u271d\u00b9 : UniformSpace \u03b2\ninst\u271d : UniformSpace \u03b3\n\u22a2 SeparatedSpace \u03b1 \u2194 T2Space \u... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Calculus/Deriv/Add.lean | HasDerivAt.neg | [
209,
8
] | [
210,
8
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Logic/Function/Basic.lean | eq_rec_on_bijective | [
1001,
1
] | [
1003,
50
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/GroupTheory/Perm/Basic.lean | Equiv.mul_swap_mul_self | [
552,
1
] | [
553,
41
] | [{"tactic": "rw [mul_assoc, swap_mul_self, mul_one]", "annotated_tactic": ["rw [<a>mul_assoc</a>, <a>swap_mul_self</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": "Equiv.swap_mul_self", "def_path": "Mathlib/G... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/Finrank.lean | span_lt_top_of_card_lt_finrank | [
370,
1
] | [
372,
81
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Init/Logic.lean | ExistsUnique.exists | [
248,
1
] | [
248,
90
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Intervals/Basic.lean | Set.Ioo_union_Ioo' | [
1714,
1
] | [
1723,
43
] | [{"tactic": "ext1 x", "annotated_tactic": ["ext1 x", []], "state_before": "\u03b1 : Type u_1\n\u03b2 : Type u_2\ninst\u271d : LinearOrder \u03b1\na a\u2081 a\u2082 b b\u2081 b\u2082 c d : \u03b1\nh\u2081 : c < b\nh\u2082 : a < d\n\u22a2 Ioo a b \u222a Ioo c d = Ioo (min a c) (max b d)", "state_after": "case h\n\u03b1 :... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Preadditive/Biproducts.lean | CategoryTheory.Biprod.ofComponents_snd | [
702,
1
] | [
704,
29
] | [{"tactic": "simp [Biprod.ofComponents]", "annotated_tactic": ["simp [<a>Biprod.ofComponents</a>]", [{"full_name": "CategoryTheory.Biprod.ofComponents", "def_path": "Mathlib/CategoryTheory/Preadditive/Biproducts.lean", "def_pos": [678, 5], "def_end_pos": [678, 24]}]], "state_before": "C : Type u\ninst\u271d\u00b2 : Cat... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Function.lean | Set.surjOn_iff_surjective | [
870,
1
] | [
876,
16
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Matrix/Basic.lean | Matrix.col_add | [
2694,
1
] | [
2696,
6
] | [{"tactic": "ext", "annotated_tactic": ["ext", []], "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 \u2192 Type u_6\nR : Type u_7\nS : Type u_8\n\u03b1 : Type v\n\u03b2 : Type w\n\u03b3 : Type u_9\ninst\u271d : Add \u03b1\nv w : m \u2192 \u03b1\n\u22a2 col (v + w)... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/WellFoundedSet.lean | Set.partiallyWellOrderedOn_empty | [
281,
1
] | [
282,
13
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Filter/AtTopBot.lean | Filter.tendsto_atBot_of_add_bdd_below_right' | [
790,
1
] | [
793,
77
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Convex/Between.lean | Wbtw.swap_right_iff | [
393,
1
] | [
394,
79
] | [{"tactic": "rw [\u2190 wbtw_swap_right_iff R x, and_iff_right h]", "annotated_tactic": ["rw [\u2190 <a>wbtw_swap_right_iff</a> R x, <a>and_iff_right</a> h]", [{"full_name": "wbtw_swap_right_iff", "def_path": "Mathlib/Analysis/Convex/Between.lean", "def_pos": [377, 9], "def_end_pos": [377, 28]}, {"full_name": "and_iff_... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Polynomial/RingDivision.lean | Polynomial.isUnit_iff | [
231,
1
] | [
236,
45
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Dynamics/Circle/RotationNumber/TranslationNumber.lean | CircleDeg1Lift.ext_iff | [
174,
1
] | [
175,
18
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/AlgebraicGeometry/Properties.lean | AlgebraicGeometry.isIntegral_iff_is_irreducible_and_isReduced | [
277,
1
] | [
280,
42
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Limits/Shapes/Terminal.lean | CategoryTheory.Limits.IsInitial.epi_to | [
197,
1
] | [
198,
45
] | [{"tactic": "haveI := t.isSplitEpi_to f", "annotated_tactic": ["haveI := t.isSplitEpi_to f", []], "state_before": "C : Type u\u2081\ninst\u271d : Category.{v\u2081, u\u2081} C\nX Y : C\nt : IsInitial X\nf : Y \u27f6 X\n\u22a2 Epi f", "state_after": "C : Type u\u2081\ninst\u271d : Category.{v\u2081, u\u2081} C\nX Y : C\... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Normed/Group/Hom.lean | NormedAddGroupHom.NormNoninc.neg_iff | [
843,
1
] | [
844,
78
] | [{"tactic": "simpa using h x", "annotated_tactic": ["simpa using h x", []], "state_before": "V : Type u_1\nW : Type u_2\nV\u2081 : Type u_3\nV\u2082 : Type u_4\nV\u2083 : Type u_5\ninst\u271d\u2074 : SeminormedAddCommGroup V\ninst\u271d\u00b3 : SeminormedAddCommGroup W\ninst\u271d\u00b2 : SeminormedAddCommGroup V\u2081... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/InnerProductSpace/Symmetric.lean | LinearMap.IsSymmetric.restrictScalars | [
133,
1
] | [
137,
87
] | [{"tactic": "simp [hT x y, real_inner_eq_re_inner, LinearMap.coe_restrictScalars \u211d]", "annotated_tactic": ["simp [hT x y, <a>real_inner_eq_re_inner</a>, <a>LinearMap.coe_restrictScalars</a> \u211d]", [{"full_name": "real_inner_eq_re_inner", "def_path": "Mathlib/Analysis/InnerProductSpace/Basic.lean", "def_pos": [2... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Order/ToIntervalMod.lean | toIcoMod_zero_one | [
1033,
1
] | [
1034,
35
] | [{"tactic": "simp [toIcoMod_eq_add_fract_mul]", "annotated_tactic": ["simp [<a>toIcoMod_eq_add_fract_mul</a>]", [{"full_name": "toIcoMod_eq_add_fract_mul", "def_path": "Mathlib/Algebra/Order/ToIntervalMod.lean", "def_pos": [1015, 9], "def_end_pos": [1015, 34]}]], "state_before": "\u03b1 : Type u_1\ninst\u271d\u00b9 : L... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Limits/HasLimits.lean | CategoryTheory.Limits.colimit.desc_cocone | [
849,
1
] | [
851,
34
] | [] |
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