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/Data/Polynomial/Degree/Lemmas.lean | Polynomial.natDegree_C_mul_eq_of_mul_eq_one | [
111,
1
] | [
117,
66
] | [{"tactic": "nth_rw 1 [\u2190 one_mul p]", "annotated_tactic": ["nth_rw 1 [\u2190 <a>one_mul</a> p]", [{"full_name": "one_mul", "def_path": "Mathlib/Algebra/Group/Defs.lean", "def_pos": [464, 9], "def_end_pos": [464, 16]}]], "state_before": "R : Type u\nS : Type v\n\u03b9 : Type w\na b : R\nm n : \u2115\ninst\u271d : S... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/WithBot.lean | WithTop.untop'_eq_iff | [
732,
1
] | [
733,
24
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Convolution.lean | ConvolutionExists.distrib_add | [
506,
1
] | [
509,
37
] | [{"tactic": "ext x", "annotated_tactic": ["ext x", []], "state_before": "\ud835\udd5c : Type u\ud835\udd5c\nG : Type uG\nE : Type uE\nE' : Type uE'\nE'' : Type uE''\nF : Type uF\nF' : Type uF'\nF'' : Type uF''\nP : Type uP\ninst\u271d\u00b9\u00b2 : NormedAddCommGroup E\ninst\u271d\u00b9\u00b9 : NormedAddCommGroup E'\ni... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Order/Sub/Canonical.lean | tsub_add_min | [
507,
1
] | [
509,
20
] | [{"tactic": "rw [\u2190 tsub_min, @tsub_add_cancel_of_le]", "annotated_tactic": ["rw [\u2190 <a>tsub_min</a>, @<a>tsub_add_cancel_of_le</a>]", [{"full_name": "tsub_min", "def_path": "Mathlib/Algebra/Order/Sub/Canonical.lean", "def_pos": [501, 9], "def_end_pos": [501, 17]}, {"full_name": "tsub_add_cancel_of_le", "def_pa... |
https://github.com/leanprover/std4 | 869c615eb10130c0637a7bc038e2b80253559913 | lake-packages/std/Std/Data/String/Lemmas.lean | String.Pos.add_eq | [
112,
1
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112,
74
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Geometry/Manifold/ContMDiff.lean | contMDiffAt_iff_target_of_mem_source | [
470,
1
] | [
474,
17
] | [{"tactic": "rw [ContMDiffAt, contMDiffWithinAt_iff_target_of_mem_source hy, continuousWithinAt_univ,\n ContMDiffAt]", "annotated_tactic": ["rw [<a>ContMDiffAt</a>, <a>contMDiffWithinAt_iff_target_of_mem_source</a> hy, <a>continuousWithinAt_univ</a>,\n <a>ContMDiffAt</a>]", [{"full_name": "ContMDiffAt", "def_path":... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Convex/Cone/Dual.lean | innerDualCone_union | [
92,
1
] | [
95,
43
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/TensorProduct.lean | LinearMap.baseChange_smul | [
97,
1
] | [
99,
25
] | [{"tactic": "ext", "annotated_tactic": ["ext", []], "state_before": "R : Type u_1\nA : Type u_2\nB : Type u_3\nM : Type u_4\nN : Type u_5\ninst\u271d\u2078 : CommSemiring R\ninst\u271d\u2077 : Semiring A\ninst\u271d\u2076 : Algebra R A\ninst\u271d\u2075 : Semiring B\ninst\u271d\u2074 : Algebra R B\ninst\u271d\u00b3 : A... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Basic.lean | closure_union | [
534,
1
] | [
538,
42
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Module/Equiv.lean | LinearEquiv.toFun_eq_coe | [
226,
1
] | [
226,
42
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Category/Frm.lean | Frm.coe_of | [
49,
1
] | [
49,
58
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/Polynomial/Hermite/Basic.lean | Polynomial.degree_hermite | [
111,
1
] | [
116,
32
] | [{"tactic": "rw [degree_eq_of_le_of_coeff_ne_zero]", "annotated_tactic": ["rw [<a>degree_eq_of_le_of_coeff_ne_zero</a>]", [{"full_name": "Polynomial.degree_eq_of_le_of_coeff_ne_zero", "def_path": "Mathlib/Data/Polynomial/Degree/Definitions.lean", "def_pos": [190, 9], "def_end_pos": [190, 41]}]], "state_before": "n : \u... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Module/Submodule/Lattice.lean | Submodule.sub_mem_sup | [
304,
1
] | [
307,
36
] | [{"tactic": "rw [sub_eq_add_neg]", "annotated_tactic": ["rw [<a>sub_eq_add_neg</a>]", [{"full_name": "sub_eq_add_neg", "def_path": "Mathlib/Algebra/Group/Defs.lean", "def_pos": [975, 3], "def_end_pos": [975, 14]}]], "state_before": "R : Type u_1\nS\u271d : Type u_2\nM : Type u_3\ninst\u271d\u2079 : Semiring R\ninst\u27... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Multiset/Basic.lean | Multiset.add_le_add_iff_left' | [
631,
9
] | [
632,
65
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Probability/Process/Stopping.lean | MeasureTheory.condexp_stopping_time_ae_eq_restrict_eq_of_countable_range | [
1167,
1
] | [
1174,
69
] | [{"tactic": "refine' condexp_ae_eq_restrict_of_measurableSpace_eq_on\n (h\u03c4.measurableSpace_le_of_countable_range h_countable) (\u2131.le i)\n (h\u03c4.measurableSet_eq_of_countable_range' h_countable i) fun t => _", "annotated_tactic": ["refine' <a>condexp_ae_eq_restrict_of_measurableSpace_eq_on</a>\n (h\u03c... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Algebra/Group/Basic.lean | TopologicalGroup.t2Space_iff_one_closed | [
1509,
1
] | [
1511,
57
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Real/CauSeq.lean | rat_add_continuous_lemma | [
52,
1
] | [
57,
59
] | [{"tactic": "simpa [add_halves, sub_eq_add_neg, add_comm, add_left_comm, add_assoc] using\n lt_of_le_of_lt (abv_add abv _ _) (add_lt_add h\u2081 h\u2082)", "annotated_tactic": ["simpa [<a>add_halves</a>, <a>sub_eq_add_neg</a>, <a>add_comm</a>, <a>add_left_comm</a>, <a>add_assoc</a>] using\n <a>lt_of_le_of_lt</a> ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Real/Basic.lean | CauSeq.Completion.ofRat_rat | [
45,
1
] | [
47,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/ModelTheory/Encoding.lean | FirstOrder.Language.Term.card_sigma | [
124,
1
] | [
153,
44
] | [{"tactic": "refine' le_antisymm _ _", "annotated_tactic": ["refine' <a>le_antisymm</a> _ _", [{"full_name": "le_antisymm", "def_path": "Mathlib/Init/Order/Defs.lean", "def_pos": [188, 9], "def_end_pos": [188, 20]}]], "state_before": "L : Language\nM : Type w\nN : Type u_1\nP : Type u_2\ninst\u271d\u00b2 : Structure L ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Combinatorics/SimpleGraph/Density.lean | Rel.interedges_disjoint_right | [
94,
1
] | [
99,
25
] | [{"tactic": "rw [Finset.disjoint_left] at ht \u22a2", "annotated_tactic": ["rw [<a>Finset.disjoint_left</a>] at ht \u22a2", [{"full_name": "Finset.disjoint_left", "def_path": "Mathlib/Data/Finset/Basic.lean", "def_pos": [939, 9], "def_end_pos": [939, 22]}]], "state_before": "\ud835\udd5c : Type u_1\n\u03b9 : Type u_2\n... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/GeomSum.lean | Commute.geom_sum₂_comm | [
250,
11
] | [
257,
98
] | [{"tactic": "cases n", "annotated_tactic": ["cases n", []], "state_before": "\u03b1\u271d \u03b1 : Type u\ninst\u271d : Semiring \u03b1\nx y : \u03b1\nn : \u2115\nh : Commute x y\n\u22a2 \u2211 i in range n, x ^ i * y ^ (n - 1 - i) = \u2211 i in range n, y ^ i * x ^ (n - 1 - i)", "state_after": "case zero\n\u03b1\u271d... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Measure/MeasureSpace.lean | MeasureTheory.Measure.sum_apply_eq_zero' | [
2010,
1
] | [
2011,
49
] | [{"tactic": "simp [hs]", "annotated_tactic": ["simp [hs]", []], "state_before": "\u03b1 : Type u_1\n\u03b2 : Type u_2\n\u03b3 : Type u_3\n\u03b4 : Type u_4\n\u03b9 : Type u_5\nR : Type u_6\nR' : Type u_7\nm0 : MeasurableSpace \u03b1\ninst\u271d\u00b9 : MeasurableSpace \u03b2\ninst\u271d : MeasurableSpace \u03b3\n\u03bc... |
https://github.com/leanprover/std4 | 869c615eb10130c0637a7bc038e2b80253559913 | lake-packages/std/Std/Data/Int/DivMod.lean | Int.mul_div_cancel_of_mod_eq_zero | [
580,
1
] | [
581,
57
] | [{"tactic": "have := mod_add_div a b", "annotated_tactic": ["have := <a>mod_add_div</a> a b", [{"full_name": "Int.mod_add_div", "def_path": "lake-packages/std/Std/Data/Int/DivMod.lean", "def_pos": [267, 9], "def_end_pos": [267, 20]}]], "state_before": "a b : Int\nH : mod a b = 0\n\u22a2 b * div a b = a", "state_after":... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Filter/Basic.lean | Filter.tendsto_pure_pure | [
3172,
1
] | [
3173,
21
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Polynomial/Basic.lean | Polynomial.monomial_mul_monomial | [
462,
1
] | [
465,
86
] | [{"tactic": "simp only [toFinsupp_monomial, toFinsupp_mul, AddMonoidAlgebra.single_mul_single]", "annotated_tactic": ["simp only [<a>toFinsupp_monomial</a>, <a>toFinsupp_mul</a>, <a>AddMonoidAlgebra.single_mul_single</a>]", [{"full_name": "Polynomial.toFinsupp_monomial", "def_path": "Mathlib/Data/Polynomial/Basic.lean"... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Logic/Function/Conjugate.lean | Function.Commute.option_map | [
128,
1
] | [
129,
22
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Probability/ProbabilityMassFunction/Uniform.lean | PMF.toOuterMeasure_ofMultiset_apply | [
200,
1
] | [
205,
67
] | [{"tactic": "simp_rw [div_eq_mul_inv, \u2190 ENNReal.tsum_mul_right, toOuterMeasure_apply]", "annotated_tactic": ["simp_rw [<a>div_eq_mul_inv</a>, \u2190 <a>ENNReal.tsum_mul_right</a>, <a>toOuterMeasure_apply</a>]", [{"full_name": "div_eq_mul_inv", "def_path": "Mathlib/Algebra/Group/Defs.lean", "def_pos": [977, 9], "de... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Function/SimpleFuncDenseLp.lean | MeasureTheory.SimpleFunc.memℒp_iff_finMeasSupp | [
366,
1
] | [
368,
58
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Geometry/Euclidean/Angle/Oriented/Rotation.lean | Orientation.rotation_pi_apply | [
154,
1
] | [
154,
67
] | [{"tactic": "simp", "annotated_tactic": ["simp", []], "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\u00b9 : Fact (finrank \u211d V ... |
https://github.com/leanprover/std4 | 869c615eb10130c0637a7bc038e2b80253559913 | lake-packages/std/Std/Data/List/Lemmas.lean | List.ne_nil_of_drop_ne_nil | [
805,
1
] | [
806,
29
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/MetricSpace/Basic.lean | Metric.exists_isOpen_isBounded_image_inter_of_isCompact_of_continuousOn | [
2568,
1
] | [
2572,
18
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/Basis.lean | Basis.ext_elem_iff | [
289,
1
] | [
290,
63
] | [{"tactic": "simp only [\u2190 FunLike.ext_iff, EmbeddingLike.apply_eq_iff_eq]", "annotated_tactic": ["simp only [\u2190 <a>FunLike.ext_iff</a>, <a>EmbeddingLike.apply_eq_iff_eq</a>]", [{"full_name": "FunLike.ext_iff", "def_path": "Mathlib/Data/FunLike/Basic.lean", "def_pos": [181, 9], "def_end_pos": [181, 16]}, {"full... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Convex/Cone/Basic.lean | ConvexCone.to_orderedSMul | [
322,
1
] | [
327,
46
] | [{"tactic": "intro x y z xy hz", "annotated_tactic": ["intro x y z xy hz", []], "state_before": "\ud835\udd5c : Type u_1\nE : Type u_2\nF : Type u_3\nG : Type u_4\ninst\u271d\u00b2 : LinearOrderedField \ud835\udd5c\ninst\u271d\u00b9 : OrderedAddCommGroup E\ninst\u271d : Module \ud835\udd5c E\nS : ConvexCone \ud835\udd5... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/BigOperators/Order.lean | Finset.one_le_prod'' | [
145,
1
] | [
146,
36
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/IsROrC/Basic.lean | IsROrC.mul_self_norm | [
712,
1
] | [
712,
83
] | [{"tactic": "rw [normSq_eq_def', sq]", "annotated_tactic": ["rw [<a>normSq_eq_def'</a>, <a>sq</a>]", [{"full_name": "IsROrC.normSq_eq_def'", "def_path": "Mathlib/Data/IsROrC/Basic.lean", "def_pos": [475, 9], "def_end_pos": [475, 23]}, {"full_name": "sq", "def_path": "Mathlib/Algebra/GroupPower/Basic.lean", "def_pos": [... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/SpecialFunctions/Trigonometric/Chebyshev.lean | Polynomial.Chebyshev.complex_ofReal_eval_U | [
58,
1
] | [
59,
31
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/ModelTheory/Syntax.lean | FirstOrder.Language.Term.relabel_id | [
110,
1
] | [
113,
14
] | [{"tactic": "induction' t with _ _ _ _ ih", "annotated_tactic": ["induction' t with _ _ _ _ ih", []], "state_before": "L : Language\nL' : Language\nM : Type w\nN : Type u_1\nP : Type u_2\ninst\u271d\u00b2 : Structure L M\ninst\u271d\u00b9 : Structure L N\ninst\u271d : Structure L P\n\u03b1 : Type u'\n\u03b2 : Type v'\n... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/GradedAlgebra/Radical.lean | HomogeneousIdeal.coe_radical | [
190,
1
] | [
191,
49
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Instances/ENNReal.lean | ENNReal.tsum_toNNReal_eq | [
1244,
1
] | [
1247,
38
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Support.lean | Function.mulSupport_const | [
140,
1
] | [
142,
12
] | [{"tactic": "ext x", "annotated_tactic": ["ext x", []], "state_before": "\u03b1 : Type u_1\n\u03b2 : Type u_2\nA : Type u_3\nB : Type u_4\nM : Type u_5\nN : Type u_6\nP : Type u_7\nR : Type u_8\nS : Type u_9\nG : Type u_10\nM\u2080 : Type u_11\nG\u2080 : Type u_12\n\u03b9 : Sort u_13\ninst\u271d\u00b2 : One M\ninst\u27... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Function/SpecialFunctions/Basic.lean | Measurable.cexp | [
182,
1
] | [
183,
33
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Preadditive/Generator.lean | CategoryTheory.isSeparator_iff_faithful_preadditiveCoyonedaObj | [
61,
1
] | [
64,
98
] | [{"tactic": "rw [isSeparator_iff_faithful_preadditiveCoyoneda, preadditiveCoyoneda_obj]", "annotated_tactic": ["rw [<a>isSeparator_iff_faithful_preadditiveCoyoneda</a>, <a>preadditiveCoyoneda_obj</a>]", [{"full_name": "CategoryTheory.isSeparator_iff_faithful_preadditiveCoyoneda", "def_path": "Mathlib/CategoryTheory/Pre... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Quaternion.lean | QuaternionAlgebra.coe_smul | [
389,
1
] | [
391,
89
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/DFinsupp/Basic.lean | DFinsupp.mapRange_add | [
2173,
1
] | [
2177,
59
] | [{"tactic": "ext", "annotated_tactic": ["ext", []], "state_before": "\u03b9 : Type u\n\u03b3 : Type w\n\u03b2 : \u03b9 \u2192 Type v\n\u03b2\u2081 : \u03b9 \u2192 Type v\u2081\n\u03b2\u2082 : \u03b9 \u2192 Type v\u2082\ndec : DecidableEq \u03b9\ninst\u271d\u00b2 : (i : \u03b9) \u2192 AddZeroClass (\u03b2 i)\ninst\u271d... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/List/BigOperators/Basic.lean | List.alternatingProd_nil | [
620,
1
] | [
621,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Limits/Shapes/Multiequalizer.lean | CategoryTheory.Limits.Multiequalizer.multifork_π_app_left | [
773,
1
] | [
775,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Normed/Group/Hom.lean | NormedAddGroupHom.Equalizer.norm_lift_le | [
988,
1
] | [
990,
5
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Computability/Partrec.lean | Nat.rfindOpt_mono | [
146,
1
] | [
152,
40
] | [{"tactic": "have h' := rfindOpt_dom.2 \u27e8_, _, h\u27e9", "annotated_tactic": ["have h' := <a>rfindOpt_dom</a>.2 \u27e8_, _, h\u27e9", [{"full_name": "Nat.rfindOpt_dom", "def_path": "Mathlib/Computability/Partrec.lean", "def_pos": [133, 9], "def_end_pos": [133, 21]}]], "state_before": "\u03b1 : Type u_1\nf : \u2115 ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Asymptotics/Asymptotics.lean | Asymptotics.isBigO_self_const_mul' | [
1511,
1
] | [
1514,
49
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Category/BddOrd.lean | bddOrd_dual_comp_forget_to_partOrd | [
116,
1
] | [
119,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Rat/Floor.lean | Int.mod_nat_eq_sub_mul_floor_rat_div | [
95,
1
] | [
96,
79
] | [{"tactic": "rw [eq_sub_of_add_eq <| Int.emod_add_ediv n d, Rat.floor_int_div_nat_eq_div]", "annotated_tactic": ["rw [<a>eq_sub_of_add_eq</a> <| <a>Int.emod_add_ediv</a> n d, <a>Rat.floor_int_div_nat_eq_div</a>]", [{"full_name": "eq_sub_of_add_eq", "def_path": "Mathlib/Algebra/Group/Basic.lean", "def_pos": [756, 15], "... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/List/Infix.lean | List.prefix_take_le_iff | [
249,
1
] | [
269,
57
] | [{"tactic": "simp only [prefix_iff_eq_take, length_take]", "annotated_tactic": ["simp only [<a>prefix_iff_eq_take</a>, <a>length_take</a>]", [{"full_name": "List.prefix_iff_eq_take", "def_path": "Mathlib/Data/List/Infix.lean", "def_pos": [208, 9], "def_end_pos": [208, 27]}, {"full_name": "List.length_take", "def_path":... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/SuccPred/Basic.lean | Order.succ_lt_succ_iff_of_not_isMax | [
261,
1
] | [
263,
64
] | [{"tactic": "rw [lt_succ_iff_of_not_isMax hb, succ_le_iff_of_not_isMax ha]", "annotated_tactic": ["rw [<a>lt_succ_iff_of_not_isMax</a> hb, <a>succ_le_iff_of_not_isMax</a> ha]", [{"full_name": "Order.lt_succ_iff_of_not_isMax", "def_path": "Mathlib/Order/SuccPred/Basic.lean", "def_pos": [250, 9], "def_end_pos": [250, 33]... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Seq/Computation.lean | Computation.Results.val_unique | [
526,
1
] | [
528,
27
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/GroupTheory/MonoidLocalization.lean | Submonoid.LocalizationMap.epic_of_localizationMap | [
1036,
1
] | [
1039,
28
] | [{"tactic": "rw [\u2190 f.lift_of_comp j, \u2190 f.lift_of_comp k]", "annotated_tactic": ["rw [\u2190 f.lift_of_comp j, \u2190 f.lift_of_comp k]", []], "state_before": "M : Type u_1\ninst\u271d\u00b2 : CommMonoid M\nS : Submonoid M\nN : Type u_2\ninst\u271d\u00b9 : CommMonoid N\nP : Type u_3\ninst\u271d : CommMonoid P\... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Probability/Process/Stopping.lean | MeasureTheory.IsStoppingTime.measurableSet_le | [
67,
11
] | [
69,
7
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/List/Zip.lean | List.get?_zip_with | [
312,
1
] | [
319,
75
] | [{"tactic": "induction' l\u2081 with head tail generalizing l\u2082 i", "annotated_tactic": ["induction' l\u2081 with head tail generalizing l\u2082 i", []], "state_before": "\u03b1 : Type u\n\u03b2 : Type u_1\n\u03b3 : Type u_2\n\u03b4 : Type u_3\n\u03b5 : Type u_4\nf : \u03b1 \u2192 \u03b2 \u2192 \u03b3\nl\u2081 : Li... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/List.lean | Vector.continuousAt_removeNth | [
215,
1
] | [
220,
71
] | [{"tactic": "rw [ContinuousAt, removeNth, tendsto_subtype_rng]", "annotated_tactic": ["rw [<a>ContinuousAt</a>, <a>removeNth</a>, <a>tendsto_subtype_rng</a>]", [{"full_name": "ContinuousAt", "def_path": "Mathlib/Topology/Basic.lean", "def_pos": [1620, 5], "def_end_pos": [1620, 17]}, {"full_name": "Vector.removeNth", "d... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Hom/Centroid.lean | CentroidHom.toEnd_mul | [
378,
1
] | [
379,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/Dimension.lean | LinearMap.le_rank_iff_exists_linearIndependent | [
1447,
1
] | [
1466,
47
] | [{"tactic": "rcases f.rangeRestrict.exists_rightInverse_of_surjective f.range_rangeRestrict with \u27e8g, hg\u27e9", "annotated_tactic": ["rcases f.rangeRestrict.exists_rightInverse_of_surjective f.range_rangeRestrict with \u27e8g, hg\u27e9", []], "state_before": "K : Type u\nV V\u2081 V\u2082 V\u2083 : Type v\nV' V'\u... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Covering/DensityTheorem.lean | IsUnifLocDoublingMeasure.tendsto_closedBall_filterAt | [
112,
1
] | [
132,
45
] | [{"tactic": "refine' (vitaliFamily \u03bc K).tendsto_filterAt_iff.mpr \u27e8_, fun \u03b5 h\u03b5 => _\u27e9", "annotated_tactic": ["refine' (<a>vitaliFamily</a> \u03bc K).tendsto_filterAt_iff.mpr \u27e8_, fun \u03b5 h\u03b5 => _\u27e9", [{"full_name": "IsUnifLocDoublingMeasure.vitaliFamily", "def_path": "Mathlib/Measu... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Order/Basic.lean | isClosed_Ici | [
159,
1
] | [
160,
17
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/FieldTheory/Adjoin.lean | IntermediateField.coe_sInf | [
143,
1
] | [
145,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Fin/SuccPred.lean | Fin.pred_eq | [
68,
1
] | [
69,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Asymptotics/Asymptotics.lean | Asymptotics.isBigO_snd_prod' | [
978,
1
] | [
979,
81
] | [{"tactic": "simpa [IsBigO_def, IsBigOWith_def] using isBigO_snd_prod (E' := E') (F' := F')", "annotated_tactic": ["simpa [<a>IsBigO_def</a>, <a>IsBigOWith_def</a>] using <a>isBigO_snd_prod</a> (E' := E') (F' := F')", [{"full_name": "Asymptotics.IsBigO_def", "def_path": "Mathlib/Analysis/Asymptotics/Asymptotics.lean", ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/BoundedOrder.lean | eq_bot_or_bot_lt | [
380,
1
] | [
381,
18
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Module/Submodule/Pointwise.lean | Submodule.smul_sup' | [
234,
1
] | [
235,
16
] | [] |
https://github.com/leanprover/std4 | 869c615eb10130c0637a7bc038e2b80253559913 | lake-packages/std/Std/Logic.lean | Decidable.of_not_imp | [
546,
1
] | [
547,
41
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Finsupp/Order.lean | Finsupp.le_def | [
51,
1
] | [
52,
10
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Interval.lean | Interval.forall | [
351,
1
] | [
352,
16
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/NormedSpace/HomeomorphBall.lean | LocalHomeomorph.univBall_target | [
129,
1
] | [
130,
33
] | [{"tactic": "rw [univBall, dif_pos hr]", "annotated_tactic": ["rw [<a>univBall</a>, <a>dif_pos</a> hr]", [{"full_name": "LocalHomeomorph.univBall", "def_path": "Mathlib/Analysis/NormedSpace/HomeomorphBall.lean", "def_pos": [121, 5], "def_end_pos": [121, 13]}, {"full_name": "dif_pos", "def_path": "lake-packages/lean4/sr... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/ContinuousOn.lean | ContinuousWithinAt.union | [
762,
1
] | [
764,
38
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Convex/Strict.lean | StrictConvex.is_linear_preimage | [
149,
1
] | [
152,
40
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Computability/Ackermann.lean | ack_lt_iff_right | [
157,
1
] | [
158,
37
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Polynomial/RingDivision.lean | Polynomial.roots_pow | [
729,
1
] | [
735,
28
] | [{"tactic": "induction' n with n ihn", "annotated_tactic": ["induction' n with n ihn", []], "state_before": "R : Type u\nS : Type v\nT : Type w\na b : R\nn\u271d : \u2115\ninst\u271d\u00b9 : CommRing R\ninst\u271d : IsDomain R\np\u271d q p : R[X]\nn : \u2115\n\u22a2 roots (p ^ n) = n \u2022 roots p", "state_after": "ca... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Order/Monoid/WithTop.lean | WithBot.coe_add | [
584,
1
] | [
585,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Real/CauSeq.lean | CauSeq.zero_limZero | [
453,
1
] | [
454,
62
] | [{"tactic": "simpa [abv_zero abv] using \u03b50", "annotated_tactic": ["simpa [<a>abv_zero</a> abv] using \u03b50", [{"full_name": "IsAbsoluteValue.abv_zero", "def_path": "Mathlib/Algebra/Order/AbsoluteValue.lean", "def_pos": [349, 9], "def_end_pos": [349, 17]}]], "state_before": "\u03b1 : Type u_1\n\u03b2 : Type u_2\n... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Fin/Tuple/Basic.lean | Fin.append_left_nil | [
323,
1
] | [
329,
14
] | [{"tactic": "rw [hu, zero_add]", "annotated_tactic": ["rw [hu, <a>zero_add</a>]", [{"full_name": "zero_add", "def_path": "Mathlib/Algebra/Group/Defs.lean", "def_pos": [463, 3], "def_end_pos": [463, 14]}]], "state_before": "m n : \u2115\n\u03b1\u271d : Fin (n + 1) \u2192 Type u\nx : \u03b1\u271d 0\nq : (i : Fin (n + 1))... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/SpecialFunctions/Gamma/Basic.lean | Real.differentiableAt_Gamma | [
571,
1
] | [
574,
11
] | [{"tactic": "refine' (Complex.differentiableAt_Gamma _ _).hasDerivAt.real_of_complex.differentiableAt", "annotated_tactic": ["refine' (<a>Complex.differentiableAt_Gamma</a> _ _).hasDerivAt.real_of_complex.differentiableAt", [{"full_name": "Complex.differentiableAt_Gamma", "def_path": "Mathlib/Analysis/SpecialFunctions/... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/NormedSpace/Multilinear.lean | continuousMultilinearCurryRightEquiv_symm_apply' | [
1589,
1
] | [
1592,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Intervals/Basic.lean | Set.mem_Ici_of_Ioi | [
670,
1
] | [
671,
24
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/BigOperators/Multiset/Basic.lean | Multiset.prod_eq_zero_iff | [
288,
1
] | [
291,
32
] | [{"tactic": "rw [quot_mk_to_coe, coe_prod]", "annotated_tactic": ["rw [<a>quot_mk_to_coe</a>, <a>coe_prod</a>]", [{"full_name": "Multiset.quot_mk_to_coe", "def_path": "Mathlib/Data/Multiset/Basic.lean", "def_pos": [43, 9], "def_end_pos": [43, 23]}, {"full_name": "Multiset.coe_prod", "def_path": "Mathlib/Algebra/BigOper... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/GroupTheory/Submonoid/Pointwise.lean | Submonoid.smul_mem_pointwise_smul_iff₀ | [
309,
1
] | [
311,
42
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Geometry/RingedSpace/SheafedSpace.lean | AlgebraicGeometry.SheafedSpace.Γ_map | [
221,
1
] | [
222,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Measure/VectorMeasure.lean | MeasureTheory.VectorMeasure.MutuallySingular.add_left | [
1200,
1
] | [
1217,
44
] | [{"tactic": "obtain \u27e8u, hmu, hu\u2081, hu\u2082\u27e9 := h\u2081", "annotated_tactic": ["obtain \u27e8u, hmu, hu\u2081, hu\u2082\u27e9 := h\u2081", []], "state_before": "\u03b1 : Type u_1\n\u03b2 : Type u_2\nm : MeasurableSpace \u03b1\nL : Type u_3\nM : Type u_4\nN : Type u_5\ninst\u271d\u2077 : AddCommMonoid L\ni... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/NormedSpace/BoundedLinearMaps.lean | ContinuousLinearMap.isBoundedLinearMap_comp_left | [
454,
1
] | [
456,
55
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/BoundedVariation.lean | LipschitzWith.comp_locallyBoundedVariationOn | [
835,
1
] | [
838,
79
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Order/Ring/Defs.lean | strictAnti_mul_right | [
730,
1
] | [
731,
36
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/Matrix/Transvection.lean | Matrix.TransvectionStruct.toMatrix_sumInl | [
252,
1
] | [
260,
77
] | [{"tactic": "cases t", "annotated_tactic": ["cases t", []], "state_before": "n : Type u_1\np : Type u_2\nR : Type u\u2082\n\ud835\udd5c : Type u_3\ninst\u271d\u00b3 : Field \ud835\udd5c\ninst\u271d\u00b2 : DecidableEq n\ninst\u271d\u00b9 : DecidableEq p\ninst\u271d : CommRing R\ni j : n\nt : TransvectionStruct n R\n\u2... |
https://github.com/leanprover/std4 | 869c615eb10130c0637a7bc038e2b80253559913 | lake-packages/std/Std/Data/Int/DivMod.lean | Int.fdiv_eq_div | [
63,
1
] | [
64,
40
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Hom/Units.lean | Units.map_id | [
99,
1
] | [
99,
71
] | [{"tactic": "ext", "annotated_tactic": ["ext", []], "state_before": "\u03b1 : Type u_1\nM : Type u\nN : Type v\nP : Type w\ninst\u271d\u00b2 : Monoid M\ninst\u271d\u00b9 : Monoid N\ninst\u271d : Monoid P\n\u22a2 map (MonoidHom.id M) = MonoidHom.id M\u02e3", "state_after": "case h.a\n\u03b1 : Type u_1\nM : Type u\nN : T... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/FieldTheory/RatFunc.lean | RatFunc.denom_mul_dvd | [
1323,
1
] | [
1326,
90
] | [{"tactic": "rw [denom_dvd (mul_ne_zero (denom_ne_zero x) (denom_ne_zero y))]", "annotated_tactic": ["rw [<a>denom_dvd</a> (<a>mul_ne_zero</a> (<a>denom_ne_zero</a> x) (<a>denom_ne_zero</a> y))]", [{"full_name": "RatFunc.denom_dvd", "def_path": "Mathlib/FieldTheory/RatFunc.lean", "def_pos": [1301, 9], "def_end_pos": [1... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/TensorProductBasis.lean | Basis.tensorProduct_apply | [
40,
1
] | [
41,
81
] | [{"tactic": "simp [Basis.tensorProduct]", "annotated_tactic": ["simp [<a>Basis.tensorProduct</a>]", [{"full_name": "Basis.tensorProduct", "def_path": "Mathlib/LinearAlgebra/TensorProductBasis.lean", "def_pos": [31, 5], "def_end_pos": [31, 24]}]], "state_before": "R : Type u_1\nM : Type u_2\nN : Type u_3\n\u03b9 : Type ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Connected/PathConnected.lean | JoinedIn.mono | [
856,
1
] | [
857,
48
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Finset/Basic.lean | Finset.sdiff_eq_empty_iff_subset | [
2197,
1
] | [
2198,
19
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/NumberTheory/Divisors.lean | Nat.divisorsAntidiagonal_zero | [
205,
1
] | [
207,
7
] | [{"tactic": "ext", "annotated_tactic": ["ext", []], "state_before": "n : \u2115\n\u22a2 divisorsAntidiagonal 0 = \u2205", "state_after": "case a\nn : \u2115\na\u271d : \u2115 \u00d7 \u2115\n\u22a2 a\u271d \u2208 divisorsAntidiagonal 0 \u2194 a\u271d \u2208 \u2205"}, {"tactic": "simp", "annotated_tactic": ["simp", []], ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Lie/Subalgebra.lean | LieSubalgebra.coe_lieSpan_submodule_eq_iff | [
710,
1
] | [
716,
91
] | [{"tactic": "rw [p.exists_lieSubalgebra_coe_eq_iff]", "annotated_tactic": ["rw [p.exists_lieSubalgebra_coe_eq_iff]", []], "state_before": "R : Type u\nL : Type v\ninst\u271d\u2074 : CommRing R\ninst\u271d\u00b3 : LieRing L\ninst\u271d\u00b2 : LieAlgebra R L\nL\u2082 : Type w\ninst\u271d\u00b9 : LieRing L\u2082\ninst\u2... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Max.lean | IsMin.not_lt | [
313,
1
] | [
313,
78
] | [] |
https://github.com/leanprover/std4 | 869c615eb10130c0637a7bc038e2b80253559913 | lake-packages/std/Std/Data/Fin/Lemmas.lean | Fin.le_castSucc_iff | [
354,
1
] | [
355,
57
] | [{"tactic": "simpa [lt_def, le_def] using Nat.succ_le_succ_iff.symm", "annotated_tactic": ["simpa [<a>lt_def</a>, <a>le_def</a>] using Nat.succ_le_succ_iff.symm", [{"full_name": "Fin.lt_def", "def_path": "lake-packages/std/Std/Data/Fin/Lemmas.lean", "def_pos": [81, 9], "def_end_pos": [81, 15]}, {"full_name": "Fin.le_de... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/RootsOfUnity/Basic.lean | IsPrimitiveRoot.zmodEquivZpowers_symm_apply_zpow | [
722,
1
] | [
724,
79
] | [{"tactic": "rw [\u2190 h.zmodEquivZpowers.symm_apply_apply i, zmodEquivZpowers_apply_coe_int]", "annotated_tactic": ["rw [\u2190 h.zmodEquivZpowers.symm_apply_apply i, <a>zmodEquivZpowers_apply_coe_int</a>]", [{"full_name": "IsPrimitiveRoot.zmodEquivZpowers_apply_coe_int", "def_path": "Mathlib/RingTheory/RootsOfUnity/... |
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