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/Algebra/Field/IsField.lean | Semifield.toIsField | [
41,
1
] | [
43,
64
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Order/Basic.lean | pi_Ioo_mem_nhds | [
1595,
1
] | [
1597,
35
] | [{"tactic": "refine' mem_of_superset (set_pi_mem_nhds Set.finite_univ fun i _ => _) (pi_univ_Ioo_subset a b)", "annotated_tactic": ["refine' <a>mem_of_superset</a> (<a>set_pi_mem_nhds</a> <a>Set.finite_univ</a> fun i _ => _) (<a>pi_univ_Ioo_subset</a> a b)", [{"full_name": "Filter.mem_of_superset", "def_path": "Mathlib... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/BoxIntegral/Partition/Split.lean | BoxIntegral.Prepartition.iUnion_compl | [
366,
1
] | [
367,
38
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Normed/Group/Pointwise.lean | div_ball_one | [
214,
1
] | [
214,
95
] | [{"tactic": "simp [div_eq_mul_inv, mul_ball_one]", "annotated_tactic": ["simp [<a>div_eq_mul_inv</a>, <a>mul_ball_one</a>]", [{"full_name": "div_eq_mul_inv", "def_path": "Mathlib/Algebra/Group/Defs.lean", "def_pos": [977, 9], "def_end_pos": [977, 23]}, {"full_name": "mul_ball_one", "def_path": "Mathlib/Analysis/Normed/... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Basic.lean | Set.diff_diff | [
1939,
1
] | [
1940,
19
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Order/Monoid/Lemmas.lean | MulLECancellable.injective_left | [
1632,
11
] | [
1634,
95
] | [{"tactic": "dsimp", "annotated_tactic": ["dsimp", []], "state_before": "\u03b1 : Type u_1\n\u03b2 : Type u_2\ninst\u271d\u00b9 : Mul \u03b1\ni : IsSymmOp \u03b1 \u03b1 fun x x_1 => x * x_1\ninst\u271d : PartialOrder \u03b1\na : \u03b1\nha : MulLECancellable a\nb c : \u03b1\nh : (fun x => x * a) b = (fun x => x * a) c\... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Analytic/Linear.lean | ContinuousLinearMap.analyticAt_bilinear | [
122,
11
] | [
124,
46
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Limits/Shapes/Images.lean | CategoryTheory.Limits.MonoFactorisation.ext | [
108,
1
] | [
115,
25
] | [{"tactic": "cases' F with _ Fm _ _ Ffac", "annotated_tactic": ["cases' F with _ Fm _ _ Ffac", []], "state_before": "C : Type u\ninst\u271d : Category.{v, u} C\nX Y : C\nf : X \u27f6 Y\nF F' : MonoFactorisation f\nhI : F.I = F'.I\nhm : F.m = eqToHom hI \u226b F'.m\n\u22a2 F = F'", "state_after": "case mk\nC : Type u\ni... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/SymplecticGroup.lean | Matrix.isUnit_det_J | [
74,
1
] | [
75,
63
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/List/Sublists.lean | List.sublists_cons_perm_append | [
419,
1
] | [
423,
99
] | [{"tactic": "rw [sublists'_cons]", "annotated_tactic": ["rw [<a>sublists'_cons</a>]", [{"full_name": "List.sublists'_cons", "def_path": "Mathlib/Data/List/Sublists.lean", "def_pos": [75, 9], "def_end_pos": [75, 23]}]], "state_before": "\u03b1 : Type u\n\u03b2 : Type v\n\u03b3 : Type w\na : \u03b1\nl : List \u03b1\n\u22... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/GroupTheory/Subsemigroup/Basic.lean | Subsemigroup.subset_closure | [
313,
1
] | [
313,
86
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Maps.lean | Embedding.map_nhds_eq | [
230,
1
] | [
232,
21
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/SetTheory/Game/Ordinal.lean | Ordinal.toPGame_le_iff | [
154,
1
] | [
155,
75
] | [{"tactic": "contrapose", "annotated_tactic": ["contrapose", []], "state_before": "a b : Ordinal.{u_1}\n\u22a2 toPGame a \u2264 toPGame b \u2192 a \u2264 b", "state_after": "a b : Ordinal.{u_1}\n\u22a2 \u00aca \u2264 b \u2192 \u00actoPGame a \u2264 toPGame b"}, {"tactic": "rw [not_le, PGame.not_le]", "annotated_tactic"... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Pi/Algebra.lean | Pi.mulSingle_eq_of_ne | [
244,
1
] | [
245,
30
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Group/FundamentalDomain.lean | MeasureTheory.IsFundamentalDomain.smul_of_comm | [
181,
1
] | [
185,
34
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Logic/Function/Basic.lean | Function.Surjective.forall | [
192,
11
] | [
196,
14
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Finset/Pointwise.lean | Finset.smul_finset_singleton | [
1653,
1
] | [
1654,
22
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Algebra/RestrictScalars.lean | RestrictScalars.ringEquiv_map_smul | [
210,
1
] | [
213,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Algebra/Hom.lean | AlgHom.map_sum | [
269,
11
] | [
271,
16
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Basic.lean | TopologicalSpace.ext | [
114,
11
] | [
116,
43
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Combinatorics/Additive/Behrend.lean | Behrend.dValue_pos | [
406,
1
] | [
426,
54
] | [{"tactic": "have hN\u2080 : 0 < (N : \u211d) := cast_pos.2 (succ_pos'.trans_le hN\u2083)", "annotated_tactic": ["have hN\u2080 : 0 < (N : \u211d) := <a>cast_pos</a>.2 (succ_pos'.trans_le hN\u2083)", [{"full_name": "Nat.cast_pos", "def_path": "Mathlib/Data/Nat/Cast/Order.lean", "def_pos": [72, 9], "def_end_pos": [72, 1... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Computability/Primrec.lean | Nat.Primrec'.of_prim | [
1522,
1
] | [
1540,
93
] | [{"tactic": "simp [encodek]", "annotated_tactic": ["simp [<a>encodek</a>]", [{"full_name": "Encodable.encodek", "def_path": "Mathlib/Logic/Encodable/Basic.lean", "def_pos": [53, 3], "def_end_pos": [53, 10]}]], "state_before": "n : \u2115\nf : Vector \u2115 n \u2192 \u2115\nthis : \u2200 (f : \u2115 \u2192 \u2115), Nat.... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Calculus/ContDiff.lean | ContDiffAt.neg | [
1305,
1
] | [
1306,
53
] | [{"tactic": "rw [\u2190 contDiffWithinAt_univ] at *", "annotated_tactic": ["rw [\u2190 <a>contDiffWithinAt_univ</a>] at *", [{"full_name": "contDiffWithinAt_univ", "def_path": "Mathlib/Analysis/Calculus/ContDiffDef.lean", "def_pos": [1335, 9], "def_end_pos": [1335, 30]}]], "state_before": "\ud835\udd5c : Type u_1\ninst... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/ContinuousFunction/ZeroAtInfty.lean | ZeroAtInftyContinuousMap.coe_toContinuousMap | [
99,
1
] | [
100,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/LocallyConvex/Bounded.lean | Bornology.IsVonNBounded.image | [
121,
1
] | [
137,
54
] | [{"tactic": "let \u03c3' := RingEquiv.ofBijective \u03c3 \u27e8\u03c3.injective, \u03c3.surjective\u27e9", "annotated_tactic": ["let \u03c3' := <a>RingEquiv.ofBijective</a> \u03c3 \u27e8\u03c3.injective, \u03c3.surjective\u27e9", [{"full_name": "RingEquiv.ofBijective", "def_path": "Mathlib/Algebra/Ring/Equiv.lean", "de... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Filter/Bases.lean | Filter.HasBasis.filter_eq | [
320,
1
] | [
322,
43
] | [{"tactic": "ext U", "annotated_tactic": ["ext U", []], "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\nl l' : Filter \u03b1\np : \u03b9 \u2192 Prop\ns : \u03b9 \u2192 Set \u03b1\nt : Set \u03b1\ni : \u03b9\np' : \u03b9' \u2192 Prop\ns' : \u03b9' \u2192 S... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Filter/Prod.lean | Filter.Eventually.diag_of_prod_right | [
202,
1
] | [
206,
85
] | [{"tactic": "intro h", "annotated_tactic": ["intro h", []], "state_before": "\u03b1 : Type u_1\n\u03b2 : Type u_2\n\u03b3 : Type u_3\n\u03b4 : Type u_4\n\u03b9 : Sort u_5\ns : Set \u03b1\nt : Set \u03b2\nf\u271d : Filter \u03b1\ng\u271d : Filter \u03b2\nf : Filter \u03b1\ng : Filter \u03b3\np : \u03b1 \u00d7 \u03b3 \u0... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/SpecialFunctions/Exponential.lean | hasFDerivAt_exp_zero | [
168,
1
] | [
169,
41
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/GroupTheory/Perm/Support.lean | Equiv.Perm.card_support_eq_two | [
617,
1
] | [
633,
32
] | [{"tactic": "constructor <;> intro h", "annotated_tactic": ["constructor <;> intro h", []], "state_before": "\u03b1 : Type u_1\ninst\u271d\u00b9 : DecidableEq \u03b1\ninst\u271d : Fintype \u03b1\nf\u271d g f : Perm \u03b1\n\u22a2 card (support f) = 2 \u2194 IsSwap f", "state_after": "case mp\n\u03b1 : Type u_1\ninst\u2... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/MetricSpace/DilationEquiv.lean | DilationEquiv.surjective | [
112,
11
] | [
112,
75
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Lattice.lean | Set.iUnion_iUnion_eq_left | [
863,
1
] | [
865,
20
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/Span.lean | Submodule.mem_span_singleton_self | [
405,
1
] | [
406,
18
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Filter/Basic.lean | Filter.frequently_sup | [
1408,
1
] | [
1410,
60
] | [{"tactic": "simp only [Filter.Frequently, eventually_sup, not_and_or]", "annotated_tactic": ["simp only [<a>Filter.Frequently</a>, <a>eventually_sup</a>, <a>not_and_or</a>]", [{"full_name": "Filter.Frequently", "def_path": "Mathlib/Order/Filter/Basic.lean", "def_pos": [1259, 15], "def_end_pos": [1259, 25]}, {"full_nam... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Filter/Pointwise.lean | Filter.Tendsto.inv_inv | [
894,
11
] | [
895,
55
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Logic/Equiv/Defs.lean | Equiv.refl_apply | [
269,
9
] | [
269,
63
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/SetTheory/Ordinal/Arithmetic.lean | Ordinal.sup_le_lsub | [
1605,
1
] | [
1606,
35
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Elements.lean | CategoryTheory.CategoryOfElements.to_comma_map_right | [
149,
1
] | [
150,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Logic/Embedding/Basic.lean | subtypeOrLeftEmbedding_apply_right | [
487,
1
] | [
490,
13
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/UniformSpace/Completion.lean | UniformSpace.Completion.uniformContinuous_extension | [
541,
1
] | [
542,
32
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Integral/Lebesgue.lean | MeasureTheory.lintegral_comp | [
1311,
1
] | [
1313,
29
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Constructions/BorelSpace/Basic.lean | Measurable.ennnorm | [
2277,
1
] | [
2278,
31
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/GroupTheory/FreeAbelianGroup.lean | FreeAbelianGroup.seq_neg | [
310,
1
] | [
311,
31
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/InnerProductSpace/Adjoint.lean | ContinuousLinearMap.eq_adjoint_iff | [
172,
1
] | [
175,
76
] | [{"tactic": "refine' \u27e8fun h x y => by rw [h, adjoint_inner_left], fun h => _\u27e9", "annotated_tactic": ["refine' \u27e8fun h x y => by rw [h, <a>adjoint_inner_left</a>], fun h => _\u27e9", [{"full_name": "ContinuousLinearMap.adjoint_inner_left", "def_path": "Mathlib/Analysis/InnerProductSpace/Adjoint.lean", "def... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Measure/Lebesgue/Basic.lean | volume_regionBetween_eq_lintegral | [
553,
1
] | [
577,
87
] | [{"tactic": "have h\u2081 :\n (fun y => ENNReal.ofReal ((g - f) y)) =\u1d50[\u03bc.restrict s] fun y =>\n ENNReal.ofReal ((AEMeasurable.mk g hg - AEMeasurable.mk f hf) y) :=\n (hg.ae_eq_mk.sub hf.ae_eq_mk).fun_comp ENNReal.ofReal", "annotated_tactic": ["have h\u2081 :\n (fun y => <a>ENNReal.ofReal</a> ((g - f) ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Nat/Cast/Defs.lean | Nat.cast_two | [
193,
1
] | [
193,
71
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Image.lean | Set.range_inr_inter_range_inl | [
926,
1
] | [
927,
46
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/GroupPower/Ring.lean | Commute.sq_sub_sq | [
238,
11
] | [
239,
42
] | [{"tactic": "rw [sq, sq, h.mul_self_sub_mul_self_eq]", "annotated_tactic": ["rw [<a>sq</a>, <a>sq</a>, h.mul_self_sub_mul_self_eq]", [{"full_name": "sq", "def_path": "Mathlib/Algebra/GroupPower/Basic.lean", "def_pos": [106, 7], "def_end_pos": [106, 9]}, {"full_name": "sq", "def_path": "Mathlib/Algebra/GroupPower/Basic.... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/Lagrange.lean | Lagrange.basis_singleton | [
222,
1
] | [
223,
51
] | [{"tactic": "rw [Lagrange.basis, erase_singleton, prod_empty]", "annotated_tactic": ["rw [<a>Lagrange.basis</a>, <a>erase_singleton</a>, <a>prod_empty</a>]", [{"full_name": "Lagrange.basis", "def_path": "Mathlib/LinearAlgebra/Lagrange.lean", "def_pos": [212, 15], "def_end_pos": [212, 20]}, {"full_name": "Finset.erase_s... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Option/Basic.lean | Option.join_pmap_eq_pmap_join | [
269,
1
] | [
271,
37
] | [{"tactic": "rcases x with (_ | _ | x) <;> simp", "annotated_tactic": ["rcases x with (_ | _ | x) <;> simp", []], "state_before": "\u03b1 : Type u_1\n\u03b2 : Type u_2\n\u03b3 : Type u_3\n\u03b4 : Type u_4\np : \u03b1 \u2192 Prop\nf\u271d : (a : \u03b1) \u2192 p a \u2192 \u03b2\nx\u271d : Option \u03b1\nf : (a : \u03b1... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Num/Lemmas.lean | Num.cast_one | [
282,
1
] | [
283,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Cover.lean | Covby.ge_of_gt | [
451,
1
] | [
452,
22
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/MetricSpace/Isometry.lean | IsometryEquiv.ext | [
370,
1
] | [
371,
20
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/List/Indexes.lean | List.oldMapIdxCore_eq | [
46,
11
] | [
51,
84
] | [{"tactic": "induction' l with hd tl hl generalizing f n", "annotated_tactic": ["induction' l with hd tl hl generalizing f n", []], "state_before": "\u03b1 : Type u\n\u03b2 : Type v\nl : List \u03b1\nf : \u2115 \u2192 \u03b1 \u2192 \u03b2\nn : \u2115\n\u22a2 List.oldMapIdxCore f n l = List.oldMapIdx (fun i a => f (i + ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Heyting/Basic.lean | himp_compl_comm | [
813,
1
] | [
813,
95
] | [{"tactic": "simp_rw [\u2190 himp_bot, himp_left_comm]", "annotated_tactic": ["simp_rw [\u2190 <a>himp_bot</a>, <a>himp_left_comm</a>]", [{"full_name": "himp_bot", "def_path": "Mathlib/Order/Heyting/Basic.lean", "def_pos": [777, 9], "def_end_pos": [777, 17]}, {"full_name": "himp_left_comm", "def_path": "Mathlib/Order/H... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/SpecialFunctions/Trigonometric/Basic.lean | Real.tendsto_sin_pi_div_two | [
1064,
1
] | [
1066,
7
] | [{"tactic": "convert continuous_sin.continuousWithinAt.tendsto", "annotated_tactic": ["convert continuous_sin.continuousWithinAt.tendsto", []], "state_before": "\u22a2 Tendsto sin (\ud835\udcdd[Iio (\u03c0 / 2)] (\u03c0 / 2)) (\ud835\udcdd 1)", "state_after": "case h.e'_5.h.e'_3\n\n\u22a2 1 = sin (\u03c0 / 2)"}, {"tact... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Polynomial/Coeff.lean | Polynomial.C_mul' | [
167,
1
] | [
169,
44
] | [{"tactic": "ext", "annotated_tactic": ["ext", []], "state_before": "R : Type u\nS : Type v\na\u271d b : R\nn m : \u2115\ninst\u271d : Semiring R\np q r : R[X]\na : R\nf : R[X]\n\u22a2 \u2191C a * f = a \u2022 f", "state_after": "case a\nR : Type u\nS : Type v\na\u271d b : R\nn m : \u2115\ninst\u271d : Semiring R\np q ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Measure/FiniteMeasure.lean | MeasureTheory.FiniteMeasure.tendsto_iff_forall_lintegral_tendsto | [
532,
1
] | [
539,
26
] | [{"tactic": "rw [tendsto_iff_forall_toWeakDualBCNN_tendsto]", "annotated_tactic": ["rw [<a>tendsto_iff_forall_toWeakDualBCNN_tendsto</a>]", [{"full_name": "MeasureTheory.FiniteMeasure.tendsto_iff_forall_toWeakDualBCNN_tendsto", "def_path": "Mathlib/MeasureTheory/Measure/FiniteMeasure.lean", "def_pos": [487, 9], "def_en... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Order/Archimedean.lean | exists_lt_nsmul | [
51,
1
] | [
54,
97
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/List/Perm.lean | List.Perm.take_inter | [
1152,
1
] | [
1157,
22
] | [{"tactic": "simp only [List.inter]", "annotated_tactic": ["simp only [<a>List.inter</a>]", [{"full_name": "List.inter", "def_path": "lake-packages/std/Std/Data/List/Basic.lean", "def_pos": [433, 25], "def_end_pos": [433, 30]}]], "state_before": "\u03b1\u271d : Type uu\n\u03b2 : Type vv\nl\u2081 l\u2082 : List \u03b1\u... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Intervals/Basic.lean | Set.Ico_subset_Ico_right | [
451,
1
] | [
452,
26
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Function/AEEqOfIntegral.lean | MeasureTheory.ae_const_le_iff_forall_lt_measure_zero | [
126,
1
] | [
158,
22
] | [{"tactic": "rw [ae_iff]", "annotated_tactic": ["rw [<a>ae_iff</a>]", [{"full_name": "MeasureTheory.ae_iff", "def_path": "Mathlib/MeasureTheory/Measure/MeasureSpaceDef.lean", "def_pos": [388, 9], "def_end_pos": [388, 15]}]], "state_before": "\u03b1 : Type u_1\nE : Type u_2\nm m0 : MeasurableSpace \u03b1\n\u03bc : Measu... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Monotone/Basic.lean | Subsingleton.strictAnti | [
537,
11
] | [
538,
51
] | [] |
https://github.com/leanprover/std4 | 869c615eb10130c0637a7bc038e2b80253559913 | lake-packages/std/Std/Control/ForInStep/Lemmas.lean | ForInStep.bindList_append | [
44,
9
] | [
47,
43
] | [{"tactic": "induction l\u2081 generalizing s <;> simp [*]", "annotated_tactic": ["induction l\u2081 generalizing s <;> simp [*]", []], "state_before": "m : Type u_1 \u2192 Type u_2\n\u03b1 : Type u_3\n\u03b2 : Type u_1\ninst\u271d\u00b9 : Monad m\ninst\u271d : LawfulMonad m\nf : \u03b1 \u2192 \u03b2 \u2192 m (ForInSte... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Instances/ENNReal.lean | ENNReal.tsum_sub | [
975,
1
] | [
978,
73
] | [{"tactic": "simp only [\u2190 ENNReal.tsum_add, this]", "annotated_tactic": ["simp only [\u2190 <a>ENNReal.tsum_add</a>, this]", [{"full_name": "ENNReal.tsum_add", "def_path": "Mathlib/Topology/Instances/ENNReal.lean", "def_pos": [823, 19], "def_end_pos": [823, 27]}]], "state_before": "\u03b1 : Type u_1\n\u03b2 : Type... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Polynomial/Eval.lean | Polynomial.mul_X_sub_int_cast_comp | [
1314,
1
] | [
1316,
97
] | [{"tactic": "rw [mul_sub, sub_comp, mul_X_comp, \u2190 Nat.cast_comm, nat_cast_mul_comp, Nat.cast_comm, mul_sub]", "annotated_tactic": ["rw [<a>mul_sub</a>, <a>sub_comp</a>, <a>mul_X_comp</a>, \u2190 <a>Nat.cast_comm</a>, <a>nat_cast_mul_comp</a>, <a>Nat.cast_comm</a>, <a>mul_sub</a>]", [{"full_name": "mul_sub", "def_p... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Order/Monoid/Defs.lean | add_top | [
110,
1
] | [
111,
41
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Hom/Units.lean | IsUnit.div_eq_of_eq_mul | [
426,
11
] | [
427,
17
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RepresentationTheory/Action.lean | Action.comp_hom | [
158,
1
] | [
160,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/Matrix/Transvection.lean | Matrix.TransvectionStruct.toMatrix_reindexEquiv_prod | [
306,
1
] | [
312,
45
] | [{"tactic": "induction' L with t L IH", "annotated_tactic": ["induction' L with t L IH", []], "state_before": "n : Type u_1\np : Type u_2\nR : Type u\u2082\n\ud835\udd5c : Type u_3\ninst\u271d\u2075 : Field \ud835\udd5c\ninst\u271d\u2074 : DecidableEq n\ninst\u271d\u00b3 : DecidableEq p\ninst\u271d\u00b2 : CommRing R\n... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Algebra/InfiniteSum/Basic.lean | Summable.congr | [
110,
1
] | [
111,
29
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/ModelTheory/FinitelyGenerated.lean | FirstOrder.Language.Substructure.CG.of_map_embedding | [
162,
1
] | [
173,
28
] | [{"tactic": "rcases hs with \u27e8t, h1, h2\u27e9", "annotated_tactic": ["rcases hs with \u27e8t, h1, h2\u27e9", []], "state_before": "L : Language\nM : Type u_1\ninst\u271d\u00b9 : Structure L M\nN : Type u_2\ninst\u271d : Structure L N\nf : M \u21aa[L] N\ns : Substructure L M\nhs : CG (Substructure.map (Embedding.toH... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Finset/LocallyFinite.lean | Finset.Ioc_subset_Ioi_self | [
416,
1
] | [
417,
53
] | [{"tactic": "simpa [\u2190 coe_subset] using Set.Ioc_subset_Ioi_self", "annotated_tactic": ["simpa [\u2190 <a>coe_subset</a>] using <a>Set.Ioc_subset_Ioi_self</a>", [{"full_name": "Finset.coe_subset", "def_path": "Mathlib/Data/Finset/Basic.lean", "def_pos": [376, 9], "def_end_pos": [376, 19]}, {"full_name": "Set.Ioc_su... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Geometry/Manifold/ContMDiff.lean | Smooth.smoothOn | [
767,
1
] | [
768,
27
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Polynomial/Coeff.lean | Polynomial.coeff_X_pow_mul' | [
270,
1
] | [
272,
48
] | [{"tactic": "rw [(commute_X_pow p n).eq, coeff_mul_X_pow']", "annotated_tactic": ["rw [(<a>commute_X_pow</a> p n).<a>eq</a>, <a>coeff_mul_X_pow'</a>]", [{"full_name": "Polynomial.commute_X_pow", "def_path": "Mathlib/Data/Polynomial/Basic.lean", "def_pos": [634, 9], "def_end_pos": [634, 22]}, {"full_name": "Commute.eq",... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/SetTheory/Ordinal/Exponential.lean | Ordinal.log_zero_left | [
278,
1
] | [
279,
33
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Module/Basic.lean | map_inv_int_cast_smul | [
482,
1
] | [
488,
35
] | [{"tactic": "obtain \u27e8n, rfl | rfl\u27e9 := z.eq_nat_or_neg", "annotated_tactic": ["obtain \u27e8n, rfl | rfl\u27e9 := z.eq_nat_or_neg", []], "state_before": "\u03b1 : Type u_1\nR\u271d : Type u_2\nk : Type u_3\nS\u271d : Type u_4\nM : Type u_5\nM\u2082 : Type u_6\nM\u2083 : Type u_7\n\u03b9 : Type u_8\ninst\u271d\... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Filter/Prod.lean | Filter.prod_assoc | [
300,
1
] | [
303,
32
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Nat/Count.lean | Nat.count_succ_eq_count_iff | [
110,
1
] | [
111,
44
] | [{"tactic": "by_cases h : p n <;> simp [h, count_succ]", "annotated_tactic": ["by_cases h : p n <;> simp [h, <a>count_succ</a>]", [{"full_name": "Nat.count_succ", "def_path": "Mathlib/Data/Nat/Count.lean", "def_pos": [65, 9], "def_end_pos": [65, 19]}]], "state_before": "p : \u2115 \u2192 Prop\ninst\u271d : DecidablePre... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Finset/Basic.lean | Finset.ssubset_iff_subset_ne | [
420,
1
] | [
421,
28
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Intervals/OrdConnectedComponent.lean | Set.mem_ordConnectedComponent_ordConnectedProj | [
114,
1
] | [
116,
85
] | [] |
https://github.com/leanprover/std4 | 869c615eb10130c0637a7bc038e2b80253559913 | lake-packages/std/Std/Data/List/Lemmas.lean | List.mem_diff_of_mem | [
1709,
1
] | [
1713,
94
] | [{"tactic": "rw [diff_cons]", "annotated_tactic": ["rw [<a>diff_cons</a>]", [{"full_name": "List.diff_cons", "def_path": "lake-packages/std/Std/Data/List/Lemmas.lean", "def_pos": [1668, 17], "def_end_pos": [1668, 26]}]], "state_before": "\u03b1 : Type u_1\ninst\u271d : DecidableEq \u03b1\na : \u03b1\nl\u2081 : List \u0... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/Matrix/SpecialLinearGroup.lean | Matrix.SpecialLinearGroup.row_ne_zero | [
166,
1
] | [
167,
63
] | [{"tactic": "simp [h]", "annotated_tactic": ["simp [h]", []], "state_before": "n : Type u\ninst\u271d\u00b3 : DecidableEq n\ninst\u271d\u00b2 : Fintype n\nR : Type v\ninst\u271d\u00b9 : CommRing R\nA B : SpecialLinearGroup n R\ninst\u271d : Nontrivial R\ng : SpecialLinearGroup n R\ni : n\nh : \u2191g i = 0\n\u22a2 \u22... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Bounds/Basic.lean | BddAbove.image2 | [
1389,
1
] | [
1391,
52
] | [{"tactic": "rintro \u27e8a, ha\u27e9 \u27e8b, hb\u27e9", "annotated_tactic": ["rintro \u27e8a, ha\u27e9 \u27e8b, hb\u27e9", []], "state_before": "\u03b1 : Type u\n\u03b2 : Type v\n\u03b3 : Type w\n\u03b9 : Sort x\ninst\u271d\u00b2 : Preorder \u03b1\ninst\u271d\u00b9 : Preorder \u03b2\ninst\u271d : Preorder \u03b3\nf :... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/SetTheory/Cardinal/Ordinal.lean | Cardinal.add_eq_left_iff | [
785,
1
] | [
802,
24
] | [{"tactic": "rw [max_le_iff]", "annotated_tactic": ["rw [<a>max_le_iff</a>]", [{"full_name": "max_le_iff", "def_path": "Mathlib/Order/MinMax.lean", "def_pos": [48, 9], "def_end_pos": [48, 19]}]], "state_before": "a b : Cardinal.{u_1}\n\u22a2 a + b = a \u2194 max \u2135\u2080 b \u2264 a \u2228 b = 0", "state_after": "a ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/AdicCompletion.lean | adicCompletion.ext | [
254,
1
] | [
255,
25
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Instances/ENNReal.lean | ENNReal.tendsto_nat_nhds_top | [
178,
1
] | [
180,
96
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/Basic.lean | LinearMap.subtype_comp_restrict | [
227,
1
] | [
229,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Monoidal/Opposite.lean | CategoryTheory.mop_id_unmop | [
146,
1
] | [
147,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Int/ModEq.lean | Int.ModEq.of_div | [
241,
1
] | [
242,
76
] | [{"tactic": "convert h.mul_left' <;> rwa [Int.mul_ediv_cancel']", "annotated_tactic": ["convert h.mul_left' <;> rwa [<a>Int.mul_ediv_cancel'</a>]", [{"full_name": "Int.mul_ediv_cancel'", "def_path": "lake-packages/std/Std/Data/Int/DivMod.lean", "def_pos": [710, 19], "def_end_pos": [710, 35]}]], "state_before": "m n a b... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/Ideal/Operations.lean | Ideal.span_singleton_mul_left_injective | [
594,
1
] | [
596,
38
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/AffineSpace/AffineSubspace.lean | bot_lt_affineSpan | [
1183,
1
] | [
1185,
34
] | [{"tactic": "rw [bot_lt_iff_ne_bot, nonempty_iff_ne_empty]", "annotated_tactic": ["rw [<a>bot_lt_iff_ne_bot</a>, <a>nonempty_iff_ne_empty</a>]", [{"full_name": "bot_lt_iff_ne_bot", "def_path": "Mathlib/Order/BoundedOrder.lean", "def_pos": [371, 9], "def_end_pos": [371, 26]}, {"full_name": "Set.nonempty_iff_ne_empty", "... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Preadditive/Opposite.lean | CategoryTheory.unop_add | [
36,
1
] | [
37,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Filter/Pointwise.lean | Filter.NeBot.div | [
473,
1
] | [
474,
13
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/MetricSpace/PiNat.lean | PiCountable.dist_summable | [
833,
1
] | [
837,
56
] | [{"tactic": "refine summable_of_nonneg_of_le (fun i => ?_) (fun i => min_le_left _ _)\n summable_geometric_two_encode", "annotated_tactic": ["refine <a>summable_of_nonneg_of_le</a> (fun i => ?_) (fun i => <a>min_le_left</a> _ _)\n <a>summable_geometric_two_encode</a>", [{"full_name": "summable_of_nonneg_of_le", "de... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/Span.lean | Submodule.span_int_eq_addSubgroup_closure | [
208,
1
] | [
213,
86
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Filter/AtTopBot.lean | Filter.tendsto_mul_self_atTop | [
931,
1
] | [
932,
40
] | [] |
https://github.com/leanprover/std4 | 869c615eb10130c0637a7bc038e2b80253559913 | lake-packages/std/Std/Data/List/Lemmas.lean | List.infix_append | [
1737,
1
] | [
1737,
83
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/DualQuaternion.lean | Quaternion.fst_re_dualNumberEquiv_symm | [
110,
1
] | [
112,
6
] | [] |
https://github.com/leanprover/std4 | 869c615eb10130c0637a7bc038e2b80253559913 | lake-packages/std/Std/Data/Nat/Lemmas.lean | Nat.pow_mul' | [
829,
11
] | [
830,
34
] | [{"tactic": "rw [\u2190Nat.pow_mul, Nat.mul_comm]", "annotated_tactic": ["rw [\u2190<a>Nat.pow_mul</a>, <a>Nat.mul_comm</a>]", [{"full_name": "Nat.pow_mul", "def_path": "lake-packages/std/Std/Data/Nat/Lemmas.lean", "def_pos": [824, 19], "def_end_pos": [824, 26]}, {"full_name": "Nat.mul_comm", "def_path": "lake-packages... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/List/BigOperators/Lemmas.lean | MulOpposite.op_list_prod | [
142,
1
] | [
146,
89
] | [{"tactic": "intro l", "annotated_tactic": ["intro l", []], "state_before": "\u03b9 : Type u_1\n\u03b1 : Type u_2\nM : Type u_3\nN : Type u_4\nP : Type u_5\nM\u2080 : Type u_6\nG : Type u_7\nR : Type u_8\ninst\u271d : Monoid M\n\u22a2 \u2200 (l : List M), op (prod l) = prod (reverse (map op l))", "state_after": "\u03b9... |
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