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/BigOperators/Basic.lean | Finset.prod_apply_ite_of_false | [
1021,
1
] | [
1024,
32
] | [{"tactic": "simp_rw [apply_ite k]", "annotated_tactic": ["simp_rw [<a>apply_ite</a> k]", [{"full_name": "apply_ite", "def_path": "lake-packages/std/Std/Logic.lean", "def_pos": [739, 9], "def_end_pos": [739, 18]}]], "state_before": "\u03b9 : Type u_1\n\u03b2 : Type u\n\u03b1 : Type v\n\u03b3 : Type w\ns s\u2081 s\u2082... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Calculus/ContDiff.lean | ContDiffOn.continuousLinearMap_comp | [
224,
1
] | [
225,
81
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Category/TopCat/OpenNhds.lean | TopologicalSpace.OpenNhds.inclusionMapIso_hom | [
138,
1
] | [
139,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Semicontinuous.lean | UpperSemicontinuousOn.mono | [
687,
1
] | [
688,
69
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/FractionalIdeal.lean | IsFractional.mul | [
502,
1
] | [
514,
35
] | [{"tactic": "refine Submodule.mul_induction_on hb ?_ ?_", "annotated_tactic": ["refine <a>Submodule.mul_induction_on</a> hb ?_ ?_", [{"full_name": "Submodule.mul_induction_on", "def_path": "Mathlib/Algebra/Algebra/Operations.lean", "def_pos": [179, 19], "def_end_pos": [179, 35]}]], "state_before": "R : Type u_1\ninst\u... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Matrix/Notation.lean | Matrix.smul_mat_cons | [
383,
1
] | [
386,
35
] | [{"tactic": "ext i", "annotated_tactic": ["ext i", []], "state_before": "\u03b1 : Type u\no n m : \u2115\nm' : Type u\u2098\nn' : Type u\u2099\no' : Type u\u2092\na b : \u2115\ninst\u271d : NonUnitalNonAssocSemiring \u03b1\nx : \u03b1\nv : n' \u2192 \u03b1\nA : Fin m \u2192 n' \u2192 \u03b1\n\u22a2 x \u2022 vecCons v A... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/AlgebraicGeometry/Pullbacks.lean | AlgebraicGeometry.Scheme.Pullback.pullbackFstιToV_snd | [
426,
1
] | [
434,
43
] | [{"tactic": "delta pullbackFst\u03b9ToV", "annotated_tactic": ["delta <a>pullbackFst\u03b9ToV</a>", [{"full_name": "AlgebraicGeometry.Scheme.Pullback.pullbackFst\u03b9ToV", "def_path": "Mathlib/AlgebraicGeometry/Pullbacks.lean", "def_pos": [406, 5], "def_end_pos": [406, 20]}]], "state_before": "C : Type u\ninst\u271d\u... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Order/Rearrangement.lean | Monovary.sum_smul_comp_perm_lt_sum_smul_iff | [
260,
1
] | [
262,
84
] | [{"tactic": "simp [(hfg.monovaryOn _).sum_smul_comp_perm_lt_sum_smul_iff fun _ _ \u21a6 mem_univ _]", "annotated_tactic": ["simp [(hfg.monovaryOn _).<a>sum_smul_comp_perm_lt_sum_smul_iff</a> fun _ _ \u21a6 <a>mem_univ</a> _]", [{"full_name": "MonovaryOn.sum_smul_comp_perm_lt_sum_smul_iff", "def_path": "Mathlib/Algebra/... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/GroupTheory/Perm/Support.lean | Equiv.Perm.eq_on_support_mem_disjoint | [
510,
1
] | [
522,
21
] | [{"tactic": "induction' l with hd tl IH", "annotated_tactic": ["induction' l with hd tl IH", []], "state_before": "\u03b1 : Type u_1\ninst\u271d\u00b9 : DecidableEq \u03b1\ninst\u271d : Fintype \u03b1\nf g : Perm \u03b1\nl : List (Perm \u03b1)\nh : f \u2208 l\nhl : List.Pairwise Disjoint l\n\u22a2 \u2200 (x : \u03b1), ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/CompleteLattice.lean | sInf_eq_of_forall_ge_of_forall_gt_exists_lt | [
637,
1
] | [
639,
57
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Group/Prod.lean | MeasureTheory.ae_measure_preimage_mul_right_lt_top_of_ne_zero | [
293,
1
] | [
300,
43
] | [{"tactic": "refine' (ae_measure_preimage_mul_right_lt_top \u03bd \u03bd sm h3s).filter_mono _", "annotated_tactic": ["refine' (<a>ae_measure_preimage_mul_right_lt_top</a> \u03bd \u03bd sm h3s).<a>filter_mono</a> _", [{"full_name": "MeasureTheory.ae_measure_preimage_mul_right_lt_top", "def_path": "Mathlib/MeasureTheory... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Computability/Primrec.lean | Primrec.list_findIdx | [
1129,
1
] | [
1133,
69
] | [{"tactic": "dsimp", "annotated_tactic": ["dsimp", []], "state_before": "\u03b1 : Type u_1\n\u03b2 : Type u_2\n\u03b3 : Type u_3\n\u03c3 : Type u_4\ninst\u271d\u00b3 : Primcodable \u03b1\ninst\u271d\u00b2 : Primcodable \u03b2\ninst\u271d\u00b9 : Primcodable \u03b3\ninst\u271d : Primcodable \u03c3\nf : \u03b1 \u2192 Lis... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Generator.lean | CategoryTheory.Subobject.inf_eq_of_isDetecting | [
330,
1
] | [
333,
55
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Control/Functor.lean | Functor.ext | [
50,
1
] | [
60,
27
] | [{"tactic": "cases show @m = @m' by funext \u03b1 \u03b2 f x; apply H", "annotated_tactic": ["cases show @m = @m' by funext \u03b1 \u03b2 f x; apply H", []], "state_before": "F\u271d : Type u \u2192 Type v\n\u03b1 \u03b2 \u03b3 : Type u\ninst\u271d\u00b9 : Functor F\u271d\ninst\u271d : LawfulFunctor F\u271d\nF : Type u... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Measure/NullMeasurable.lean | Finset.nullMeasurableSet | [
365,
11
] | [
366,
32
] | [{"tactic": "apply Finset.measurableSet", "annotated_tactic": ["apply <a>Finset.measurableSet</a>", [{"full_name": "Finset.measurableSet", "def_path": "Mathlib/MeasureTheory/MeasurableSpace/Defs.lean", "def_pos": [310, 19], "def_end_pos": [310, 39]}]], "state_before": "\u03b9 : Type u_1\n\u03b1 : Type u_2\n\u03b2 : Typ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Geometry/Euclidean/Angle/Oriented/RightAngle.lean | EuclideanGeometry.sin_oangle_left_of_oangle_eq_pi_div_two | [
665,
1
] | [
671,
21
] | [{"tactic": "have hs : (\u2221 p\u2083 p\u2081 p\u2082).sign = 1 := by rw [\u2190 oangle_rotate_sign, h, Real.Angle.sign_coe_pi_div_two]", "annotated_tactic": ["have hs : (\u2221 p\u2083 p\u2081 p\u2082).<a>sign</a> = 1 := by rw [\u2190 <a>oangle_rotate_sign</a>, h, <a>Real.Angle.sign_coe_pi_div_two</a>]", [{"full_name... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/GroupWithZero/Units/Basic.lean | isUnit_iff_ne_zero | [
255,
1
] | [
256,
27
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/NonZeroDivisors.lean | mul_cancel_left_mem_nonZeroDivisors | [
75,
1
] | [
76,
67
] | [{"tactic": "simp_rw [mul_comm r, mul_cancel_right_mem_nonZeroDivisors hr]", "annotated_tactic": ["simp_rw [<a>mul_comm</a> r, <a>mul_cancel_right_mem_nonZeroDivisors</a> hr]", [{"full_name": "mul_comm", "def_path": "Mathlib/Algebra/Group/Defs.lean", "def_pos": [302, 9], "def_end_pos": [302, 17]}, {"full_name": "mul_ca... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/GroupTheory/Perm/Subgroup.lean | Equiv.Perm.sigmaCongrRightHom.card_range | [
49,
1
] | [
52,
95
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Real/ConjugateExponents.lean | Real.IsConjugateExponent.ne_zero | [
53,
1
] | [
53,
42
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/DFinsupp/Basic.lean | DFinsupp.add_closure_iUnion_range_single | [
1011,
1
] | [
1018,
87
] | [{"tactic": "apply DFinsupp.induction x", "annotated_tactic": ["apply <a>DFinsupp.induction</a> x", [{"full_name": "DFinsupp.induction", "def_path": "Mathlib/Data/DFinsupp/Basic.lean", "def_pos": [964, 19], "def_end_pos": [964, 28]}]], "state_before": "\u03b9 : Type u\n\u03b3 : Type w\n\u03b2 : \u03b9 \u2192 Type v\n\u... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Algebra/InfiniteSum/Basic.lean | Summable.tendsto_atTop_zero | [
1263,
1
] | [
1265,
33
] | [{"tactic": "rw [\u2190 Nat.cofinite_eq_atTop]", "annotated_tactic": ["rw [\u2190 <a>Nat.cofinite_eq_atTop</a>]", [{"full_name": "Nat.cofinite_eq_atTop", "def_path": "Mathlib/Order/Filter/Cofinite.lean", "def_pos": [156, 9], "def_end_pos": [156, 30]}]], "state_before": "\u03b1 : Type u_1\n\u03b2 : Type u_2\n\u03b3 : Ty... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Polynomial/EraseLead.lean | Polynomial.self_sub_monomial_natDegree_leadingCoeff | [
76,
1
] | [
78,
81
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/PFun.lean | PFun.image_union | [
417,
1
] | [
418,
24
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Hom/CompleteLattice.lean | FrameHom.copy_eq | [
578,
1
] | [
579,
17
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Basic.lean | Set.inclusion_mk | [
2805,
1
] | [
2806,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Star/StarAlgHom.lean | StarAlgEquiv.coe_refl | [
829,
1
] | [
830,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Nat/Order/Basic.lean | Nat.div_eq_sub_mod_div | [
547,
1
] | [
552,
55
] | [{"tactic": "by_cases n0 : n = 0", "annotated_tactic": ["by_cases n0 : n = 0", []], "state_before": "m n k l : \u2115\n\u22a2 m / n = (m - m % n) / n", "state_after": "case pos\nm n k l : \u2115\nn0 : n = 0\n\u22a2 m / n = (m - m % n) / n\n\ncase neg\nm n k l : \u2115\nn0 : \u00acn = 0\n\u22a2 m / n = (m - m % n) / n"}... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Intervals/Basic.lean | Set.Iio_subset_Iio | [
609,
1
] | [
609,
86
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/JacobsonIdeal.lean | Ideal.jacobson_eq_top_iff | [
78,
1
] | [
84,
64
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/AlgebraicIndependent.lean | AlgebraicIndependent.to_subtype_range' | [
283,
1
] | [
285,
27
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/MvPolynomial/Basic.lean | MvPolynomial.mem_restrictDegree_iff_sup | [
104,
1
] | [
108,
61
] | [{"tactic": "simp only [mem_restrictDegree, degrees_def, Multiset.count_finset_sup, Finsupp.count_toMultiset,\n Finset.sup_le_iff]", "annotated_tactic": ["simp only [<a>mem_restrictDegree</a>, <a>degrees_def</a>, <a>Multiset.count_finset_sup</a>, <a>Finsupp.count_toMultiset</a>,\n <a>Finset.sup_le_iff</a>]", [{"ful... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/RootsOfUnity/Basic.lean | IsPrimitiveRoot.zero | [
537,
1
] | [
539,
84
] | [{"tactic": "simpa [zero_pow_eq, show \u2200 p, \u00acp \u2192 False \u2194 p from @Classical.not_not] using hl", "annotated_tactic": ["simpa [<a>zero_pow_eq</a>, show \u2200 p, \u00acp \u2192 <a>False</a> \u2194 p from @<a>Classical.not_not</a>] using hl", [{"full_name": "zero_pow_eq", "def_path": "Mathlib/Algebra/Gro... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/CliffordAlgebra/Equivs.lean | CliffordAlgebraComplex.toComplex_ι | [
151,
1
] | [
152,
37
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Order/Field/Basic.lean | one_div_strictAntiOn | [
610,
1
] | [
611,
90
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/FractionalIdeal.lean | FractionalIdeal.isFractional_span_singleton | [
1279,
1
] | [
1281,
92
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/VectorBundle/Basic.lean | Trivialization.linear | [
179,
11
] | [
182,
38
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Logic/Equiv/Defs.lean | Equiv.rightInverse_symm | [
360,
1
] | [
360,
90
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Geometry/Euclidean/Angle/Oriented/Basic.lean | Orientation.oangle_eq_angle_of_sign_eq_one | [
735,
1
] | [
743,
44
] | [{"tactic": "by_cases hx : x = 0", "annotated_tactic": ["by_cases hx : x = 0", []], "state_before": "V : Type u_1\nV' : Type u_2\ninst\u271d\u2075 : NormedAddCommGroup V\ninst\u271d\u2074 : NormedAddCommGroup V'\ninst\u271d\u00b3 : InnerProductSpace \u211d V\ninst\u271d\u00b2 : InnerProductSpace \u211d V'\ninst\u271d\u... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/Matrix/SesquilinearForm.lean | Matrix.toLinearMap₂'Aux_stdBasis | [
69,
1
] | [
77,
80
] | [{"tactic": "rw [Matrix.toLinearMap\u2082'Aux, mk\u2082'\u209b\u2097_apply]", "annotated_tactic": ["rw [<a>Matrix.toLinearMap\u2082'Aux</a>, <a>mk\u2082'\u209b\u2097_apply</a>]", [{"full_name": "Matrix.toLinearMap\u2082'Aux", "def_path": "Mathlib/LinearAlgebra/Matrix/SesquilinearForm.lean", "def_pos": [58, 5], "def_end... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/AffineSpace/Midpoint.lean | midpoint_eq_smul_add | [
220,
1
] | [
222,
70
] | [{"tactic": "rw [midpoint_eq_iff, pointReflection_apply, vsub_eq_sub, vadd_eq_add, sub_add_eq_add_sub, \u2190\n two_smul R, smul_smul, mul_invOf_self, one_smul, add_sub_cancel']", "annotated_tactic": ["rw [<a>midpoint_eq_iff</a>, <a>pointReflection_apply</a>, <a>vsub_eq_sub</a>, <a>vadd_eq_add</a>, <a>sub_add_eq_add_s... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Seminorm.lean | Seminorm.smul_sup | [
251,
1
] | [
256,
33
] | [{"tactic": "simpa only [\u2190 smul_eq_mul, \u2190 NNReal.smul_def, smul_one_smul \u211d\u22650 r (_ : \u211d)] using\n mul_max_of_nonneg x y (r \u2022 (1 : \u211d\u22650) : \u211d\u22650).coe_nonneg", "annotated_tactic": ["simpa only [\u2190 <a>smul_eq_mul</a>, \u2190 <a>NNReal.smul_def</a>, <a>smul_one_smul</a> \u2... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Nat/Nth.lean | Nat.exists_lt_card_finite_nth_eq | [
126,
1
] | [
128,
64
] | [{"tactic": "rwa [\u2190 @Set.mem_setOf_eq _ _ p, \u2190 image_nth_Iio_card hf] at h", "annotated_tactic": ["rwa [\u2190 @<a>Set.mem_setOf_eq</a> _ _ p, \u2190 <a>image_nth_Iio_card</a> hf] at h", [{"full_name": "Set.mem_setOf_eq", "def_path": "Mathlib/Data/Set/Basic.lean", "def_pos": [256, 29], "def_end_pos": [256, 41... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Real/ENNReal.lean | ENNReal.ofReal_eq_coe_nnreal | [
207,
1
] | [
209,
30
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Limits/Shapes/WidePullbacks.lean | CategoryTheory.Limits.WidePullback.eq_lift_of_comp_eq | [
374,
1
] | [
382,
13
] | [{"tactic": "intro h1 h2", "annotated_tactic": ["intro h1 h2", []], "state_before": "J : Type w\nC : Type u\ninst\u271d\u00b2 : Category.{v, u} C\nD : Type u_1\ninst\u271d\u00b9 : Category.{v\u2082, u_1} D\nB : D\nobjs : J \u2192 D\narrows : (j : J) \u2192 objs j \u27f6 B\ninst\u271d : HasWidePullback B objs arrows\nX ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Constructions/BorelSpace/Basic.lean | measurableSet_of_continuousAt | [
335,
1
] | [
337,
44
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/GroupTheory/CoprodI.lean | Monoid.CoprodI.Word.rcons_eq_smul | [
580,
1
] | [
582,
21
] | [{"tactic": "simp [of_smul_def]", "annotated_tactic": ["simp [<a>of_smul_def</a>]", [{"full_name": "Monoid.CoprodI.Word.of_smul_def", "def_path": "Mathlib/GroupTheory/CoprodI.lean", "def_pos": [515, 9], "def_end_pos": [515, 20]}]], "state_before": "\u03b9 : Type u_1\nM : \u03b9 \u2192 Type u_2\ninst\u271d\u00b3 : (i : ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Disjoint.lean | Complementeds.coe_le_coe | [
722,
1
] | [
722,
52
] | [{"tactic": "simp", "annotated_tactic": ["simp", []], "state_before": "\u03b1 : Type u_1\ninst\u271d\u00b9 : Lattice \u03b1\ninst\u271d : BoundedOrder \u03b1\na b : Complementeds \u03b1\n\u22a2 \u2191a \u2264 \u2191b \u2194 a \u2264 b", "state_after": "no goals"}] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Analytic/Basic.lean | HasFPowerSeriesAt.isBigO_image_sub_norm_mul_norm_sub | [
929,
1
] | [
935,
57
] | [{"tactic": "rcases hf with \u27e8r, hf\u27e9", "annotated_tactic": ["rcases hf with \u27e8r, hf\u27e9", []], "state_before": "\ud835\udd5c : Type u_1\nE : Type u_2\nF : Type u_3\nG : Type u_4\ninst\u271d\u2076 : NontriviallyNormedField \ud835\udd5c\ninst\u271d\u2075 : NormedAddCommGroup E\ninst\u271d\u2074 : NormedSpa... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Bounds/Basic.lean | AntitoneOn.mem_upperBounds_image_self | [
1226,
1
] | [
1227,
43
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/SetTheory/ZFC/Basic.lean | PSet.Equiv.refl | [
125,
11
] | [
126,
71
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/FractionalIdeal.lean | FractionalIdeal.coe_spanSingleton | [
1293,
1
] | [
1295,
6
] | [{"tactic": "rw [spanSingleton]", "annotated_tactic": ["rw [<a>spanSingleton</a>]", [{"full_name": "FractionalIdeal.spanSingleton", "def_path": "Mathlib/RingTheory/FractionalIdeal.lean", "def_pos": [1287, 17], "def_end_pos": [1287, 30]}]], "state_before": "R : Type u_1\ninst\u271d\u2076 : CommRing R\nS : Submonoid R\nP... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Limits/Shapes/Images.lean | CategoryTheory.Limits.IsImage.fac_lift | [
188,
1
] | [
190,
34
] | [{"tactic": "simp", "annotated_tactic": ["simp", []], "state_before": "C : Type u\ninst\u271d : Category.{v, u} C\nX Y : C\nf : X \u27f6 Y\nF : MonoFactorisation f\nhF : IsImage F\nF' : MonoFactorisation f\n\u22a2 (F.e \u226b lift hF F') \u226b F'.m = F'.e \u226b F'.m", "state_after": "no goals"}] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Lie/Quotient.lean | LieSubmodule.Quotient.mk'_ker | [
208,
1
] | [
208,
50
] | [{"tactic": "ext", "annotated_tactic": ["ext", []], "state_before": "R : Type u\nL : Type v\nM : Type w\ninst\u271d\u2076 : CommRing R\ninst\u271d\u2075 : LieRing L\ninst\u271d\u2074 : LieAlgebra R L\ninst\u271d\u00b3 : AddCommGroup M\ninst\u271d\u00b2 : Module R M\ninst\u271d\u00b9 : LieRingModule L M\ninst\u271d : Li... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Lattice.lean | toDual_sup | [
972,
1
] | [
973,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/FieldTheory/Adjoin.lean | IntermediateField.Lifts.exists_max_three | [
1019,
1
] | [
1025,
57
] | [{"tactic": "obtain \u27e8v, hv, hxv, hyv\u27e9 := Lifts.exists_max_two hc hx hy", "annotated_tactic": ["obtain \u27e8v, hv, hxv, hyv\u27e9 := <a>Lifts.exists_max_two</a> hc hx hy", [{"full_name": "IntermediateField.Lifts.exists_max_two", "def_path": "Mathlib/FieldTheory/Adjoin.lean", "def_pos": [1011, 9], "def_end_pos... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Computability/EpsilonNFA.lean | εNFA.toNFA_evalFrom_match | [
154,
1
] | [
156,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Basic.lean | Set.Finite.isClosed_biUnion | [
257,
1
] | [
261,
28
] | [{"tactic": "simp only [\u2190 isOpen_compl_iff, compl_iUnion] at *", "annotated_tactic": ["simp only [\u2190 <a>isOpen_compl_iff</a>, <a>compl_iUnion</a>] at *", [{"full_name": "isOpen_compl_iff", "def_path": "Mathlib/Topology/Basic.lean", "def_pos": [205, 17], "def_end_pos": [205, 33]}, {"full_name": "Set.compl_iUnio... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/Matrix/ToLin.lean | Algebra.leftMulMatrix_eq_repr_mul | [
895,
1
] | [
898,
51
] | [{"tactic": "rw [leftMulMatrix_apply, toMatrix_lmul' b x i j]", "annotated_tactic": ["rw [<a>leftMulMatrix_apply</a>, <a>toMatrix_lmul'</a> b x i j]", [{"full_name": "Algebra.leftMulMatrix_apply", "def_path": "Mathlib/LinearAlgebra/Matrix/ToLin.lean", "def_pos": [891, 9], "def_end_pos": [891, 28]}, {"full_name": "Algeb... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Star/NonUnitalSubalgebra.lean | NonUnitalStarAlgHom.mem_range_self | [
415,
1
] | [
417,
43
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/SetTheory/Ordinal/Arithmetic.lean | Ordinal.bounded_singleton | [
365,
1
] | [
372,
16
] | [{"tactic": "refine' \u27e8enum r (succ (typein r x)) (hr.2 _ (typein_lt_type r x)), _\u27e9", "annotated_tactic": ["refine' \u27e8<a>enum</a> r (<a>succ</a> (<a>typein</a> r x)) (hr.2 _ (<a>typein_lt_type</a> r x)), _\u27e9", [{"full_name": "Ordinal.enum", "def_path": "Mathlib/SetTheory/Ordinal/Basic.lean", "def_pos":... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Semiquot.lean | Semiquot.get_mem | [
216,
1
] | [
218,
51
] | [{"tactic": "let \u27e8a, h\u27e9 := exists_mem q", "annotated_tactic": ["let \u27e8a, h\u27e9 := <a>exists_mem</a> q", [{"full_name": "Semiquot.exists_mem", "def_path": "Mathlib/Data/Semiquot.lean", "def_pos": [57, 9], "def_end_pos": [57, 19]}]], "state_before": "\u03b1 : Type u_1\n\u03b2 : Type u_2\nq : Semiquot \u03... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Order/Field/Basic.lean | zpow_pos_of_pos | [
118,
1
] | [
124,
23
] | [{"tactic": "rw [zpow_ofNat]", "annotated_tactic": ["rw [<a>zpow_ofNat</a>]", [{"full_name": "zpow_ofNat", "def_path": "Mathlib/Algebra/Group/Defs.lean", "def_pos": [948, 9], "def_end_pos": [948, 19]}]], "state_before": "\u03b9 : Type u_1\n\u03b1 : Type u_2\n\u03b2 : Type u_3\ninst\u271d : LinearOrderedSemifield \u03b1... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/PolynomialAlgebra.lean | matPolyEquiv_smul_one | [
279,
1
] | [
284,
49
] | [{"tactic": "ext m i j", "annotated_tactic": ["ext m i j", []], "state_before": "R : Type u_1\nA : Type u_2\ninst\u271d\u2074 : CommSemiring R\ninst\u271d\u00b3 : Semiring A\ninst\u271d\u00b2 : Algebra R A\nn : Type w\ninst\u271d\u00b9 : DecidableEq n\ninst\u271d : Fintype n\np : R[X]\n\u22a2 \u2191matPolyEquiv (p \u20... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Geometry/Manifold/Algebra/LieGroup.lean | ContMDiffWithinAt.div | [
155,
1
] | [
158,
48
] | [{"tactic": "simp_rw [div_eq_mul_inv]", "annotated_tactic": ["simp_rw [<a>div_eq_mul_inv</a>]", [{"full_name": "div_eq_mul_inv", "def_path": "Mathlib/Algebra/Group/Defs.lean", "def_pos": [977, 9], "def_end_pos": [977, 23]}]], "state_before": "\ud835\udd5c : Type u_1\ninst\u271d\u00b9\u2079 : NontriviallyNormedField \ud... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/ConditionallyCompleteLattice/Basic.lean | IsGLB.ciInf_set_eq | [
577,
1
] | [
579,
77
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Finset/Basic.lean | Finset.pairwise_cons | [
3821,
1
] | [
3824,
25
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Limits/Shapes/WideEqualizers.lean | CategoryTheory.Limits.Trident.equalizer_ext | [
283,
1
] | [
286,
71
] | [{"tactic": "rw [\u2190 s.app_zero (Classical.arbitrary J), reassoc_of% h]", "annotated_tactic": ["rw [\u2190 s.app_zero (<a>Classical.arbitrary</a> J), reassoc_of% h]", [{"full_name": "Classical.arbitrary", "def_path": "Mathlib/Logic/Nonempty.lean", "def_pos": [134, 29], "def_end_pos": [134, 48]}]], "state_before": "J... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/ModelTheory/Fraisse.lean | FirstOrder.Language.age.jointEmbedding | [
159,
1
] | [
164,
80
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Polynomial/EraseLead.lean | Polynomial.lt_natDegree_of_mem_eraseLead_support | [
94,
1
] | [
97,
54
] | [{"tactic": "rw [eraseLead_support, mem_erase] at h", "annotated_tactic": ["rw [<a>eraseLead_support</a>, <a>mem_erase</a>] at h", [{"full_name": "Polynomial.eraseLead_support", "def_path": "Mathlib/Data/Polynomial/EraseLead.lean", "def_pos": [42, 9], "def_end_pos": [42, 26]}, {"full_name": "Finset.mem_erase", "def_pat... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Connected/PathConnected.lean | Path.trans_range | [
359,
1
] | [
393,
32
] | [{"tactic": "rw [Path.trans]", "annotated_tactic": ["rw [<a>Path.trans</a>]", [{"full_name": "Path.trans", "def_path": "Mathlib/Topology/Connected/PathConnected.lean", "def_pos": [317, 5], "def_end_pos": [317, 10]}]], "state_before": "X\u271d : Type u_1\nY : Type u_2\ninst\u271d\u00b2 : TopologicalSpace X\u271d\ninst\u... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Order/Ring/Defs.lean | mul_self_pos | [
1171,
1
] | [
1178,
52
] | [{"tactic": "constructor", "annotated_tactic": ["constructor", []], "state_before": "\u03b1 : Type u\n\u03b2 : Type u_1\ninst\u271d : LinearOrderedRing \u03b1\na\u271d b c a : \u03b1\n\u22a2 0 < a * a \u2194 a \u2260 0", "state_after": "case mp\n\u03b1 : Type u\n\u03b2 : Type u_1\ninst\u271d : LinearOrderedRing \u03b1\... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/NormedSpace/PiLp.lean | PiLp.edist_eq_of_L2 | [
611,
1
] | [
612,
90
] | [{"tactic": "simp [PiLp.edist_eq_sum]", "annotated_tactic": ["simp [<a>PiLp.edist_eq_sum</a>]", [{"full_name": "PiLp.edist_eq_sum", "def_path": "Mathlib/Analysis/NormedSpace/PiLp.lean", "def_pos": [143, 9], "def_end_pos": [143, 21]}]], "state_before": "p : \u211d\u22650\u221e\n\ud835\udd5c : Type u_1\n\ud835\udd5c' : T... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Finmap.lean | Finmap.insert_insert_of_ne | [
514,
1
] | [
517,
82
] | [{"tactic": "simp only [insert_toFinmap, AList.toFinmap_eq, AList.insert_insert_of_ne _ h]", "annotated_tactic": ["simp only [<a>insert_toFinmap</a>, <a>AList.toFinmap_eq</a>, <a>AList.insert_insert_of_ne</a> _ h]", [{"full_name": "Finmap.insert_toFinmap", "def_path": "Mathlib/Data/Finmap.lean", "def_pos": [480, 9], "d... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Nat/Factorial/Basic.lean | Nat.ascFactorial_eq_div | [
274,
1
] | [
277,
78
] | [{"tactic": "apply mul_left_cancel\u2080 n.factorial_ne_zero", "annotated_tactic": ["apply <a>mul_left_cancel\u2080</a> n.factorial_ne_zero", [{"full_name": "mul_left_cancel\u2080", "def_path": "Mathlib/Algebra/GroupWithZero/Defs.lean", "def_pos": [51, 9], "def_end_pos": [51, 25]}]], "state_before": "n k : \u2115\n\u22... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/MetricSpace/Basic.lean | dist_le_coe | [
362,
1
] | [
363,
10
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/LiminfLimsup.lean | Filter.le_limsSup_of_le | [
517,
1
] | [
520,
16
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Calculus/Deriv/Basic.lean | norm_deriv_le_of_lipschitzOn | [
787,
1
] | [
789,
82
] | [{"tactic": "simpa [norm_deriv_eq_norm_fderiv] using norm_fderiv_le_of_lipschitzOn \ud835\udd5c hs hlip", "annotated_tactic": ["simpa [<a>norm_deriv_eq_norm_fderiv</a>] using <a>norm_fderiv_le_of_lipschitzOn</a> \ud835\udd5c hs hlip", [{"full_name": "norm_deriv_eq_norm_fderiv", "def_path": "Mathlib/Analysis/Calculus/De... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Asymptotics/SuperpolynomialDecay.lean | Asymptotics.SuperpolynomialDecay.trans_eventually_abs_le | [
177,
1
] | [
186,
58
] | [{"tactic": "rw [superpolynomialDecay_iff_abs_tendsto_zero] at hf \u22a2", "annotated_tactic": ["rw [<a>superpolynomialDecay_iff_abs_tendsto_zero</a>] at hf \u22a2", [{"full_name": "Asymptotics.superpolynomialDecay_iff_abs_tendsto_zero", "def_path": "Mathlib/Analysis/Asymptotics/SuperpolynomialDecay.lean", "def_pos": [... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Constructions/Pi.lean | MeasureTheory.volume_pi_closedBall | [
687,
1
] | [
690,
31
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Asymptotics/Asymptotics.lean | Asymptotics.isBigO_const_one | [
1352,
1
] | [
1353,
38
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/SpecificLimits/Normed.lean | isLittleO_pow_const_const_pow_of_one_lt | [
187,
1
] | [
202,
99
] | [{"tactic": "have : Tendsto (fun x : \u211d \u21a6 x ^ k) (\ud835\udcdd[>] 1) (\ud835\udcdd 1) :=\n ((continuous_id.pow k).tendsto' (1 : \u211d) 1 (one_pow _)).mono_left inf_le_left", "annotated_tactic": ["have : <a>Tendsto</a> (fun x : \u211d \u21a6 x ^ k) (\ud835\udcdd[>] 1) (\ud835\udcdd 1) :=\n ((continuous_id.... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Order/NhdsSet.lean | Iic_mem_nhdsSet_Ico | [
118,
1
] | [
119,
62
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Sups.lean | Set.sups_left_comm | [
210,
1
] | [
211,
33
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Combinatorics/Composition.lean | Composition.mem_range_embedding_iff | [
375,
1
] | [
391,
38
] | [{"tactic": "constructor", "annotated_tactic": ["constructor", []], "state_before": "n : \u2115\nc : Composition n\nj : Fin n\ni : Fin (length c)\n\u22a2 j \u2208 Set.range \u2191(embedding c i) \u2194 sizeUpTo c \u2191i \u2264 \u2191j \u2227 \u2191j < sizeUpTo c (Nat.succ \u2191i)", "state_after": "case mp\nn : \u2115... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/NumberTheory/PellMatiyasevic.lean | Pell.yn_succ_succ | [
532,
1
] | [
533,
24
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/AffineSpace/Combination.lean | Finset.affineCombination_of_eq_one_of_eq_zero | [
477,
1
] | [
487,
24
] | [{"tactic": "have h1 : \u2211 i in s, w i = 1 := hwi \u25b8 sum_eq_single i hw0 fun h => False.elim (h his)", "annotated_tactic": ["have h1 : \u2211 i in s, w i = 1 := hwi \u25b8 <a>sum_eq_single</a> i hw0 fun h => <a>False.elim</a> (h his)", [{"full_name": "Finset.sum_eq_single", "def_path": "Mathlib/Algebra/BigOperat... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Compactification/OnePoint.lean | OnePoint.not_specializes_infty_coe | [
407,
1
] | [
408,
54
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Order/Hom/Monoid.lean | map_nonneg | [
218,
1
] | [
220,
32
] | [{"tactic": "rw [\u2190 map_zero f]", "annotated_tactic": ["rw [\u2190 <a>map_zero</a> f]", [{"full_name": "map_zero", "def_path": "Mathlib/Algebra/Hom/Group/Defs.lean", "def_pos": [201, 3], "def_end_pos": [201, 14]}]], "state_before": "F : Type u_1\n\u03b1 : Type u_2\n\u03b2 : Type u_3\n\u03b3 : Type u_4\n\u03b4 : Typ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Group/Prod.lean | Prod.inv_mk | [
146,
1
] | [
147,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Integral/SetIntegral.lean | MeasureTheory.set_integral_nonpos_of_ae | [
790,
1
] | [
791,
60
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/NormedSpace/ContinuousLinearMap.lean | LinearMap.mkContinuousOfExistsBound_coe | [
99,
1
] | [
101,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Finset/Pointwise.lean | Finset.neg_smul | [
2195,
11
] | [
2197,
40
] | [{"tactic": "simp_rw [\u2190 image_neg]", "annotated_tactic": ["simp_rw [\u2190 <a>image_neg</a>]", [{"full_name": "Finset.image_neg", "def_path": "Mathlib/Data/Finset/Pointwise.lean", "def_pos": [200, 3], "def_end_pos": [200, 14]}]], "state_before": "F : Type u_1\n\u03b1 : Type u_2\n\u03b2 : Type u_3\n\u03b3 : Type u_... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/TensorAlgebra/Basic.lean | TensorAlgebra.toTrivSqZeroExt_ι | [
256,
1
] | [
258,
19
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Constructions/Prod/Basic.lean | MeasureTheory.Measure.snd_zero | [
968,
9
] | [
968,
74
] | [{"tactic": "simp [snd]", "annotated_tactic": ["simp [<a>snd</a>]", [{"full_name": "MeasureTheory.Measure.snd", "def_path": "Mathlib/MeasureTheory/Constructions/Prod/Basic.lean", "def_pos": [957, 19], "def_end_pos": [957, 22]}]], "state_before": "\u03b1 : Type u_1\n\u03b1' : Type u_2\n\u03b2 : Type u_3\n\u03b2' : Type ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/BigOperators/Basic.lean | Int.cast_sum | [
2256,
1
] | [
2258,
29
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/FiniteType.lean | AddMonoidAlgebra.mem_closure_of_mem_span_closure | [
438,
1
] | [
447,
31
] | [{"tactic": "suffices Multiplicative.ofAdd m \u2208 Submonoid.closure (Multiplicative.toAdd \u207b\u00b9' S) by\n simpa [\u2190 toSubmonoid_closure]", "annotated_tactic": ["suffices <a>Multiplicative.ofAdd</a> m \u2208 <a>Submonoid.closure</a> (<a>Multiplicative.toAdd</a> \u207b\u00b9' S) by\n simpa [\u2190 <a>toSu... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Real/EReal.lean | EReal.coe_ne_bot | [
291,
1
] | [
292,
21
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Measure/Lebesgue/EqHaar.lean | MeasureTheory.Measure.map_addHaar_smul | [
347,
1
] | [
355,
95
] | [{"tactic": "let f : E \u2192\u2097[\u211d] E := r \u2022 (1 : E \u2192\u2097[\u211d] E)", "annotated_tactic": ["let f : E \u2192\u2097[\u211d] E := r \u2022 (1 : E \u2192\u2097[\u211d] E)", []], "state_before": "E : Type u_1\ninst\u271d\u2078 : NormedAddCommGroup E\ninst\u271d\u2077 : NormedSpace \u211d E\ninst\u271d\... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Algebra/Module/Alternating.lean | ContinuousAlternatingMap.cons_add | [
366,
1
] | [
368,
36
] | [] |
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