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/Nat/Order/Basic.lean | Nat.diag_induction | [
342,
1
] | [
356,
31
] | [{"tactic": "apply hd _ _ ((add_lt_add_iff_right _).1 h)", "annotated_tactic": ["apply hd _ _ ((<a>add_lt_add_iff_right</a> _).1 h)", [{"full_name": "add_lt_add_iff_right", "def_path": "Mathlib/Algebra/Order/Monoid/Lemmas.lean", "def_pos": [112, 3], "def_end_pos": [112, 14]}]], "state_before": "m n k l : \u2115\nP : \u... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Order/Sub/Canonical.lean | tsub_lt_iff_tsub_lt | [
246,
1
] | [
247,
90
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/AlgebraicTopology/DoldKan/PInfty.lean | AlgebraicTopology.DoldKan.Q_is_eventually_constant | [
46,
1
] | [
48,
78
] | [{"tactic": "simp only [Q, HomologicalComplex.sub_f_apply, P_is_eventually_constant hqn]", "annotated_tactic": ["simp only [<a>Q</a>, <a>HomologicalComplex.sub_f_apply</a>, <a>P_is_eventually_constant</a> hqn]", [{"full_name": "AlgebraicTopology.DoldKan.Q", "def_path": "Mathlib/AlgebraicTopology/DoldKan/Projections.lea... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/GroupTheory/OrderOfElement.lean | orderOf_eq_card_zpowers | [
925,
1
] | [
926,
84
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Filter/Pointwise.lean | Filter.smul_le_smul_right | [
1045,
1
] | [
1046,
18
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Basic.lean | Set.Nonempty.inr | [
501,
1
] | [
502,
25
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Prod/Basic.lean | Prod.map_involutive | [
412,
1
] | [
414,
18
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/MvPolynomial/WeightedHomogeneous.lean | MvPolynomial.weightedTotalDegree_coe | [
102,
1
] | [
113,
43
] | [{"tactic": "rw [Ne.def, \u2190 weightedTotalDegree'_eq_bot_iff w p, \u2190 Ne.def, WithBot.ne_bot_iff_exists] at hp", "annotated_tactic": ["rw [<a>Ne.def</a>, \u2190 <a>weightedTotalDegree'_eq_bot_iff</a> w p, \u2190 <a>Ne.def</a>, <a>WithBot.ne_bot_iff_exists</a>] at hp", [{"full_name": "Ne.def", "def_path": "Mathlib... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Calculus/FDeriv/Mul.lean | differentiableOn_inv' | [
594,
1
] | [
595,
35
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Fin/Tuple/Basic.lean | Fin.succAbove_cases_eq_insertNth | [
687,
1
] | [
688,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/BoundedOrder.lean | Prod.fst_bot | [
821,
1
] | [
821,
61
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Convex/Between.lean | Sbtw.trans_left_right | [
835,
1
] | [
837,
63
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Calculus/LineDeriv/Basic.lean | Filter.EventuallyEq.lineDifferentiableAt_iff | [
316,
1
] | [
319,
76
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/InnerProductSpace/GramSchmidtOrtho.lean | gramSchmidt_def | [
61,
1
] | [
63,
49
] | [{"tactic": "rw [\u2190 sum_attach, attach_eq_univ, gramSchmidt]", "annotated_tactic": ["rw [\u2190 <a>sum_attach</a>, <a>attach_eq_univ</a>, <a>gramSchmidt</a>]", [{"full_name": "Finset.sum_attach", "def_path": "Mathlib/Algebra/BigOperators/Basic.lean", "def_pos": [851, 3], "def_end_pos": [851, 14]}, {"full_name": "Fi... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/GroupTheory/CoprodI.lean | Monoid.CoprodI.Word.smul_eq_of_smul | [
531,
1
] | [
532,
28
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Filter/Curry.lean | Filter.Tendsto.curry | [
72,
1
] | [
74,
41
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/BilinearMap.lean | LinearMap.domRestrict₁₂_apply | [
205,
1
] | [
206,
61
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/LocallyFinite.lean | Prod.Icc_eq | [
977,
1
] | [
980,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/LocallyConvex/Bounded.lean | TotallyBounded.isVonNBounded | [
243,
1
] | [
263,
69
] | [{"tactic": "rw [totallyBounded_iff_subset_finite_iUnion_nhds_zero] at hs", "annotated_tactic": ["rw [<a>totallyBounded_iff_subset_finite_iUnion_nhds_zero</a>] at hs", [{"full_name": "totallyBounded_iff_subset_finite_iUnion_nhds_zero", "def_path": "Mathlib/Topology/Algebra/UniformGroup.lean", "def_pos": [461, 3], "def_... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Ordmap/Ordset.lean | Ordnode.Valid'.balanceL_aux | [
1348,
1
] | [
1357,
47
] | [{"tactic": "rw [balanceL_eq_balance hl.2 hr.2 H\u2081 H\u2082, balance_eq_balance' hl.3 hr.3 hl.2 hr.2]", "annotated_tactic": ["rw [<a>balanceL_eq_balance</a> hl.2 hr.2 H\u2081 H\u2082, <a>balance_eq_balance'</a> hl.3 hr.3 hl.2 hr.2]", [{"full_name": "Ordnode.balanceL_eq_balance", "def_path": "Mathlib/Data/Ordmap/Ords... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Seminorm.lean | Seminorm.add_comp | [
347,
1
] | [
349,
19
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Convex/Side.lean | Wbtw.wOppSide₃₁ | [
409,
1
] | [
411,
23
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Normed/Field/Basic.lean | Nat.norm_cast_le | [
304,
1
] | [
308,
56
] | [{"tactic": "simp", "annotated_tactic": ["simp", []], "state_before": "\u03b1 : Type u_1\n\u03b2 : Type u_2\n\u03b3 : Type u_3\n\u03b9 : Type u_4\ninst\u271d : SeminormedRing \u03b1\n\u22a2 \u2016\u21910\u2016 \u2264 \u21910 * \u20161\u2016", "state_after": "no goals"}, {"tactic": "rw [n.cast_succ, n.cast_succ, add_mul... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/UniformSpace/UniformConvergence.lean | TendstoLocallyUniformlyOn.congr_right | [
791,
1
] | [
796,
62
] | [{"tactic": "rintro u hu x hx", "annotated_tactic": ["rintro u hu x hx", []], "state_before": "\u03b1 : Type u\n\u03b2 : Type v\n\u03b3 : Type w\n\u03b9 : Type x\ninst\u271d\u00b9 : UniformSpace \u03b2\nF : \u03b9 \u2192 \u03b1 \u2192 \u03b2\nf : \u03b1 \u2192 \u03b2\ns s' : Set \u03b1\nx : \u03b1\np : Filter \u03b9\np... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Probability/Kernel/CondDistrib.lean | ProbabilityTheory.condexp_ae_eq_integral_condDistrib' | [
282,
1
] | [
286,
91
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Probability/Kernel/CondCdf.lean | ProbabilityTheory.set_integral_condCdf | [
948,
1
] | [
955,
61
] | [{"tactic": "have h := set_lintegral_condCdf \u03c1 x hs", "annotated_tactic": ["have h := <a>set_lintegral_condCdf</a> \u03c1 x hs", [{"full_name": "ProbabilityTheory.set_lintegral_condCdf", "def_path": "Mathlib/Probability/Kernel/CondCdf.lean", "def_pos": [874, 9], "def_end_pos": [874, 30]}]], "state_before": "\u03b1... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/UniformSpace/AbstractCompletion.lean | AbstractCompletion.uniformContinuous_compare | [
250,
1
] | [
251,
31
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/UpperLower/Basic.lean | UpperSet.compl_sup | [
863,
11
] | [
864,
25
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Real/NNReal.lean | NNReal.le_iInf_mul | [
1013,
1
] | [
1015,
19
] | [{"tactic": "rw [iInf_mul]", "annotated_tactic": ["rw [<a>iInf_mul</a>]", [{"full_name": "NNReal.iInf_mul", "def_path": "Mathlib/Data/Real/NNReal.lean", "def_pos": [965, 9], "def_end_pos": [965, 17]}]], "state_before": "\u03b9 : Sort u_1\nf : \u03b9 \u2192 \u211d\u22650\ninst\u271d : Nonempty \u03b9\na : \u211d\u22650\... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Monoidal/Center.lean | CategoryTheory.Center.rightUnitor_inv_f | [
289,
1
] | [
291,
58
] | [{"tactic": "apply Iso.inv_ext'", "annotated_tactic": ["apply <a>Iso.inv_ext'</a>", [{"full_name": "CategoryTheory.Iso.inv_ext'", "def_path": "Mathlib/CategoryTheory/Iso.lean", "def_pos": [516, 9], "def_end_pos": [516, 17]}]], "state_before": "C : Type u\u2081\ninst\u271d\u00b9 : Category.{v\u2081, u\u2081} C\ninst\u27... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Pi/Algebra.lean | Pi.prod_fst_snd | [
342,
1
] | [
343,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/SpecialFunctions/Pow/Real.lean | Real.rpow_mul | [
317,
1
] | [
321,
44
] | [{"tactic": "rw [\u2190 Complex.ofReal_inj, Complex.ofReal_cpow (rpow_nonneg_of_nonneg hx _),\n Complex.ofReal_cpow hx, Complex.ofReal_mul, Complex.cpow_mul, Complex.ofReal_cpow hx] <;>\n simp only [(Complex.ofReal_mul _ _).symm, (Complex.ofReal_log hx).symm, Complex.ofReal_im,\n neg_lt_zero, pi_pos, le_of_lt pi... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/NormedSpace/AffineIsometry.lean | AffineSubspace.isometryEquivMap.coe_apply | [
908,
1
] | [
910,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/SpecificLimits/Normed.lean | tendsto_self_mul_const_pow_of_abs_lt_one | [
251,
1
] | [
253,
80
] | [{"tactic": "simpa only [pow_one] using tendsto_pow_const_mul_const_pow_of_abs_lt_one 1 hr", "annotated_tactic": ["simpa only [<a>pow_one</a>] using <a>tendsto_pow_const_mul_const_pow_of_abs_lt_one</a> 1 hr", [{"full_name": "pow_one", "def_path": "Mathlib/Algebra/GroupPower/Basic.lean", "def_pos": [97, 9], "def_end_pos... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Pointwise/SMul.lean | Set.singleton_vsub | [
656,
1
] | [
657,
24
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Tactic/Abel.lean | Mathlib.Tactic.Abel.zero_term | [
154,
1
] | [
155,
37
] | [{"tactic": "simp [term, zero_nsmul, one_nsmul]", "annotated_tactic": ["simp [<a>term</a>, <a>zero_nsmul</a>, <a>one_nsmul</a>]", [{"full_name": "Mathlib.Tactic.Abel.term", "def_path": "Mathlib/Tactic/Abel.lean", "def_pos": [91, 5], "def_end_pos": [91, 9]}, {"full_name": "zero_nsmul", "def_path": "Mathlib/Algebra/Group... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/AlgebraicGeometry/Scheme.lean | AlgebraicGeometry.Scheme.comp_coeBase | [
126,
1
] | [
128,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/InnerProductSpace/OfNorm.lean | nonempty_innerProductSpace | [
337,
1
] | [
342,
51
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Calculus/FDeriv/Mul.lean | DifferentiableAt.inv' | [
618,
1
] | [
620,
39
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Calculus/FDeriv/Prod.lean | differentiable_pi | [
446,
1
] | [
447,
96
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Group/TypeTags.lean | toMul_neg | [
299,
1
] | [
300,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/GroupTheory/MonoidLocalization.lean | Submonoid.LocalizationMap.mulEquivOfLocalizations_right_inv_apply | [
1445,
1
] | [
1446,
95
] | [{"tactic": "simp", "annotated_tactic": ["simp", []], "state_before": "M : Type u_1\ninst\u271d\u00b3 : CommMonoid M\nS : Submonoid M\nN : Type u_2\ninst\u271d\u00b2 : CommMonoid N\nP : Type u_3\ninst\u271d\u00b9 : CommMonoid P\nf : LocalizationMap S N\ng : M \u2192* P\nhg : \u2200 (y : { x // x \u2208 S }), IsUnit (\u... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Geometry/Manifold/Algebra/LieGroup.lean | ContMDiffAt.inv | [
109,
1
] | [
111,
55
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/StructuredArrow.lean | CategoryTheory.CostructuredArrow.hom_eq_iff | [
395,
1
] | [
396,
35
] | [{"tactic": "rw [h]", "annotated_tactic": ["rw [h]", []], "state_before": "C : Type u\u2081\ninst\u271d\u00b9 : Category.{v\u2081, u\u2081} C\nD : Type u\u2082\ninst\u271d : Category.{v\u2082, u\u2082} D\nT T' T'' : D\nY\u271d Y' Y'' : C\nS S' : C \u2964 D\nX Y : CostructuredArrow S T\nf g : X \u27f6 Y\nh : f = g\n\u22... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/RelClasses.lean | trans_trichotomous_left | [
161,
1
] | [
165,
48
] | [{"tactic": "intro h\u2081 h\u2082", "annotated_tactic": ["intro h\u2081 h\u2082", []], "state_before": "\u03b1 : Type u\n\u03b2 : Type v\nr : \u03b1 \u2192 \u03b1 \u2192 Prop\ns : \u03b2 \u2192 \u03b2 \u2192 Prop\ninst\u271d\u00b9 : IsTrans \u03b1 r\ninst\u271d : IsTrichotomous \u03b1 r\na b c : \u03b1\n\u22a2 \u00acr... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/LiminfLimsup.lean | Filter.OrderIso.apply_bliminf | [
1054,
1
] | [
1056,
54
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Probability/StrongLaw.lean | ProbabilityTheory.strong_law_ae_real | [
650,
1
] | [
667,
27
] | [{"tactic": "let pos : \u211d \u2192 \u211d := fun x => max x 0", "annotated_tactic": ["let pos : \u211d \u2192 \u211d := fun x => <a>max</a> x 0", [{"full_name": "Max.max", "def_path": "lake-packages/lean4/src/lean/Init/Prelude.lean", "def_pos": [1090, 3], "def_end_pos": [1090, 6]}]], "state_before": "\u03a9 : Type u_... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/GroupTheory/Subgroup/Basic.lean | Subgroup.top_prod | [
1771,
1
] | [
1772,
53
] | [{"tactic": "simp [mem_prod, MonoidHom.coe_snd]", "annotated_tactic": ["simp [<a>mem_prod</a>, <a>MonoidHom.coe_snd</a>]", [{"full_name": "Subgroup.mem_prod", "def_path": "Mathlib/GroupTheory/Subgroup/Basic.lean", "def_pos": [1741, 9], "def_end_pos": [1741, 17]}, {"full_name": "MonoidHom.coe_snd", "def_path": "Mathlib/... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/BilinearForm.lean | BilinForm.toLin_apply | [
543,
1
] | [
544,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Vector/Basic.lean | Vector.naturality | [
726,
11
] | [
731,
8
] | [{"tactic": "induction' x using Vector.inductionOn with n x xs ih", "annotated_tactic": ["induction' x using <a>Vector.inductionOn</a> with n x xs ih", [{"full_name": "Vector.inductionOn", "def_path": "Mathlib/Data/Vector/Basic.lean", "def_pos": [456, 5], "def_end_pos": [456, 16]}]], "state_before": "n : \u2115\nF G : ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Measure/OuterMeasure.lean | MeasureTheory.extend_iUnion | [
1412,
1
] | [
1419,
29
] | [{"tactic": "cases nonempty_encodable \u03b2", "annotated_tactic": ["cases <a>nonempty_encodable</a> \u03b2", [{"full_name": "nonempty_encodable", "def_path": "Mathlib/Logic/Encodable/Basic.lean", "def_pos": [472, 9], "def_end_pos": [472, 27]}]], "state_before": "\u03b1 : Type u_1\nP : Set \u03b1 \u2192 Prop\nm : (s : ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/UniformSpace/Basic.lean | symmetrize_mono | [
226,
1
] | [
227,
42
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/AffineSpace/AffineMap.lean | AffineMap.lineMap_eq_right_iff | [
582,
1
] | [
584,
57
] | [{"tactic": "rw [\u2190 @lineMap_eq_lineMap_iff k V1, lineMap_apply_one]", "annotated_tactic": ["rw [\u2190 @<a>lineMap_eq_lineMap_iff</a> k V1, <a>lineMap_apply_one</a>]", [{"full_name": "AffineMap.lineMap_eq_lineMap_iff", "def_path": "Mathlib/LinearAlgebra/AffineSpace/AffineMap.lean", "def_pos": [569, 9], "def_end_po... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/LocallyConstant/Basic.lean | LocallyConstant.unflip_flip | [
441,
1
] | [
442,
63
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/SetTheory/Cardinal/Basic.lean | Cardinal.le_mk_iff_exists_subset | [
2358,
1
] | [
2361,
77
] | [{"tactic": "rw [le_mk_iff_exists_set, \u2190 Subtype.exists_set_subtype]", "annotated_tactic": ["rw [<a>le_mk_iff_exists_set</a>, \u2190 <a>Subtype.exists_set_subtype</a>]", [{"full_name": "Cardinal.le_mk_iff_exists_set", "def_path": "Mathlib/SetTheory/Cardinal/Basic.lean", "def_pos": [282, 9], "def_end_pos": [282, 29... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/SetTheory/Game/PGame.lean | SetTheory.PGame.lf_congr_left | [
845,
1
] | [
846,
24
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Lattice.lean | Set.Ici_iSup₂ | [
2285,
1
] | [
2286,
21
] | [{"tactic": "simp_rw [Ici_iSup]", "annotated_tactic": ["simp_rw [<a>Ici_iSup</a>]", [{"full_name": "Set.Ici_iSup", "def_path": "Mathlib/Data/Set/Lattice.lean", "def_pos": [2275, 9], "def_end_pos": [2275, 17]}]], "state_before": "\u03b1 : Type u_1\n\u03b2 : Type u_2\n\u03b3 : Type u_3\n\u03b9 : Sort u_4\n\u03b9' : Sort ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Group/Defs.lean | inv_inv | [
800,
1
] | [
801,
26
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Pointwise/Basic.lean | Set.pow_subset_pow | [
954,
1
] | [
960,
52
] | [{"tactic": "rw [pow_zero]", "annotated_tactic": ["rw [<a>pow_zero</a>]", [{"full_name": "pow_zero", "def_path": "Mathlib/Algebra/Group/Defs.lean", "def_pos": [639, 9], "def_end_pos": [639, 17]}]], "state_before": "F : Type u_1\n\u03b1 : Type u_2\n\u03b2 : Type u_3\n\u03b3 : Type u_4\ninst\u271d : Monoid \u03b1\ns t : ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Nat/Log.lean | Nat.log_div_base | [
207,
1
] | [
212,
55
] | [{"tactic": "cases' le_or_lt b 1 with hb hb", "annotated_tactic": ["cases' <a>le_or_lt</a> b 1 with hb hb", [{"full_name": "le_or_lt", "def_path": "Mathlib/Init/Order/Defs.lean", "def_pos": [340, 9], "def_end_pos": [340, 17]}]], "state_before": "b n : \u2115\n\u22a2 log b (n / b) = log b n - 1", "state_after": "case in... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Measure/MeasureSpace.lean | MeasureTheory.Measure.restrict_sInf_eq_sInf_restrict | [
1881,
1
] | [
1888,
33
] | [{"tactic": "ext1 s hs", "annotated_tactic": ["ext1 s 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\u271d : MeasurableSpace \u03b1\ninst\u271d\u00b9 : MeasurableSpace \u03b2\ninst\u271d : MeasurableSpace \u03b3\n... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Filter/Bases.lean | Filter.countable_biInf_eq_iInf_seq' | [
1031,
1
] | [
1037,
55
] | [{"tactic": "cases' B.eq_empty_or_nonempty with hB Bnonempty", "annotated_tactic": ["cases' B.eq_empty_or_nonempty with hB Bnonempty", []], "state_before": "\u03b1 : Type u_1\n\u03b2 : Type u_2\n\u03b3 : Type u_3\n\u03b9 : Type u_4\n\u03b9' : Sort u_5\ninst\u271d : CompleteLattice \u03b1\nB : Set \u03b9\nBcbl : Set.Cou... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/NormedSpace/LinearIsometry.lean | LinearIsometry.map_sub | [
215,
11
] | [
216,
28
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/NormedSpace/AffineIsometry.lean | AffineSubspace.coe_subtypeₐᵢ | [
294,
1
] | [
295,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/InnerProductSpace/Basic.lean | InnerProductSpace.Core.inner_sub_sub_self | [
307,
1
] | [
308,
52
] | [{"tactic": "simp only [inner_sub_left, inner_sub_right]", "annotated_tactic": ["simp only [<a>inner_sub_left</a>, <a>inner_sub_right</a>]", [{"full_name": "InnerProductSpace.Core.inner_sub_left", "def_path": "Mathlib/Analysis/InnerProductSpace/Basic.lean", "def_pos": [288, 9], "def_end_pos": [288, 23]}, {"full_name": ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Order/Interval.lean | NonemptyInterval.fst_sub | [
354,
1
] | [
355,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/ConstantSpeed.lean | HasConstantSpeedOnWith.union | [
103,
1
] | [
138,
28
] | [{"tactic": "rw [hasConstantSpeedOnWith_iff_ordered] at hfs hft \u22a2", "annotated_tactic": ["rw [<a>hasConstantSpeedOnWith_iff_ordered</a>] at hfs hft \u22a2", [{"full_name": "hasConstantSpeedOnWith_iff_ordered", "def_path": "Mathlib/Analysis/ConstantSpeed.lean", "def_pos": [72, 9], "def_end_pos": [72, 43]}]], "state... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Calculus/Deriv/Basic.lean | Filter.EventuallyEq.hasDerivAt_iff | [
622,
1
] | [
624,
82
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Init/Data/Bool/Lemmas.lean | Bool.decide_congr | [
157,
1
] | [
161,
57
] | [{"tactic": "cases h' : decide q with\n| false => exact decide_false (mt h.1 <| of_decide_false h')\n| true => exact decide_true (h.2 <| of_decide_true h')", "annotated_tactic": ["cases h' : <a>decide</a> q with\n | <a>false</a> => exact <a>decide_false</a> (<a>mt</a> h.1 <| <a>of_decide_false</a> h')\n | <a>true</a>... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/SpecialFunctions/Trigonometric/Deriv.lean | Complex.differentiable_cosh | [
151,
1
] | [
151,
101
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/ContinuousFunction/Ordered.lean | ContinuousMap.inf'_apply | [
136,
1
] | [
138,
38
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Card.lean | Set.finite_of_ncard_ne_zero | [
546,
1
] | [
547,
57
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/List/Infix.lean | List.mem_inits | [
332,
1
] | [
349,
75
] | [{"tactic": "simpa only [inits, mem_singleton]", "annotated_tactic": ["simpa only [<a>inits</a>, <a>mem_singleton</a>]", [{"full_name": "List.inits", "def_path": "lake-packages/std/Std/Data/List/Basic.lean", "def_pos": [836, 13], "def_end_pos": [836, 18]}, {"full_name": "List.mem_singleton", "def_path": "lake-packages/... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Order/Archimedean.lean | exists_floor | [
159,
1
] | [
169,
55
] | [{"tactic": "haveI := Classical.propDecidable", "annotated_tactic": ["haveI := <a>Classical.propDecidable</a>", [{"full_name": "Classical.propDecidable", "def_path": "lake-packages/lean4/src/lean/Init/Classical.lean", "def_pos": [69, 49], "def_end_pos": [69, 62]}]], "state_before": "\u03b1 : Type u_1\ninst\u271d\u00b9 ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/AlgebraicGeometry/ProjectiveSpectrum/Topology.lean | ProjectiveSpectrum.zeroLocus_mul_ideal | [
287,
1
] | [
289,
36
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Integral/Lebesgue.lean | MeasureTheory.limsup_lintegral_le | [
1038,
1
] | [
1054,
92
] | [{"tactic": "refine' (lintegral_iInf _ _ _).symm", "annotated_tactic": ["refine' (<a>lintegral_iInf</a> _ _ _).<a>symm</a>", [{"full_name": "MeasureTheory.lintegral_iInf", "def_path": "Mathlib/MeasureTheory/Integral/Lebesgue.lean", "def_pos": [1014, 9], "def_end_pos": [1014, 23]}, {"full_name": "Eq.symm", "def_path": "... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Probability/Martingale/Centering.lean | MeasureTheory.martingalePart_add_predictablePart | [
70,
1
] | [
72,
21
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/BilinearForm.lean | BilinForm.ext_iff | [
160,
1
] | [
161,
19
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Convex/Integral.lean | ConcaveOn.le_map_set_average | [
198,
1
] | [
202,
61
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Order/Monoid/Lemmas.lean | MulLECancellable.mul_le_mul_iff_left | [
1649,
11
] | [
1651,
49
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Integral/IntegralEqImproper.lean | MeasureTheory.aecover_Ici | [
131,
1
] | [
133,
39
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Monotone/Monovary.lean | antivary_toDual_left | [
255,
1
] | [
256,
10
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Finset/Basic.lean | Finset.inter_subset_inter_right | [
1737,
1
] | [
1738,
34
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Matrix/Basic.lean | Matrix.sub_apply | [
306,
1
] | [
307,
43
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/TensorPower.lean | TensorPower.tprod_mul_tprod | [
156,
1
] | [
164,
30
] | [{"tactic": "dsimp [gMul_def, mulEquiv]", "annotated_tactic": ["dsimp [<a>gMul_def</a>, <a>mulEquiv</a>]", [{"full_name": "TensorPower.gMul_def", "def_path": "Mathlib/LinearAlgebra/TensorPower.lean", "def_pos": [92, 9], "def_end_pos": [92, 17]}, {"full_name": "TensorPower.mulEquiv", "def_path": "Mathlib/LinearAlgebra/T... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/Ideal/Operations.lean | Ideal.comap_map_of_surjective | [
1716,
1
] | [
1723,
64
] | [{"tactic": "rw [map_sub, hfsr, sub_self]", "annotated_tactic": ["rw [<a>map_sub</a>, hfsr, <a>sub_self</a>]", [{"full_name": "map_sub", "def_path": "Mathlib/Algebra/Hom/Group/Defs.lean", "def_pos": [428, 3], "def_end_pos": [428, 14]}, {"full_name": "sub_self", "def_path": "Mathlib/Algebra/Group/Basic.lean", "def_pos":... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Polynomial/Degree/Definitions.lean | Polynomial.degree_linear_lt_degree_C_mul_X_sq | [
1228,
1
] | [
1230,
62
] | [{"tactic": "simpa only [degree_C_mul_X_pow 2 ha] using degree_linear_lt", "annotated_tactic": ["simpa only [<a>degree_C_mul_X_pow</a> 2 ha] using <a>degree_linear_lt</a>", [{"full_name": "Polynomial.degree_C_mul_X_pow", "def_path": "Mathlib/Data/Polynomial/Degree/Definitions.lean", "def_pos": [292, 9], "def_end_pos": ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Ring/Defs.lean | mul_ite | [
195,
1
] | [
196,
82
] | [{"tactic": "split_ifs <;> rfl", "annotated_tactic": ["split_ifs <;> rfl", []], "state_before": "\u03b1\u271d : Type u\n\u03b2 : Type v\n\u03b3 : Type w\nR : Type x\n\u03b1 : Type u_1\ninst\u271d\u00b9 : Mul \u03b1\nP : Prop\ninst\u271d : Decidable P\na b c : \u03b1\n\u22a2 (a * if P then b else c) = if P then a * b el... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Star/StarAlgHom.lean | NonUnitalStarAlgHom.id_comp | [
235,
1
] | [
236,
19
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Measure/MeasureSpace.lean | MeasureTheory.Measure.restrict_iUnion_apply_eq_iSup | [
1781,
1
] | [
1785,
66
] | [{"tactic": "simp only [restrict_apply ht, inter_iUnion]", "annotated_tactic": ["simp only [<a>restrict_apply</a> ht, <a>inter_iUnion</a>]", [{"full_name": "MeasureTheory.Measure.restrict_apply", "def_path": "Mathlib/MeasureTheory/Measure/MeasureSpace.lean", "def_pos": [1533, 9], "def_end_pos": [1533, 23]}, {"full_name... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/MetricSpace/PiNat.lean | PiNat.res_succ | [
213,
1
] | [
214,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/Valuation/ValuationSubring.lean | ValuationSubring.smul_mem_pointwise_smul_iff | [
857,
1
] | [
858,
55
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/MetricSpace/IsometricSMul.lean | isometry_inv | [
134,
1
] | [
136,
16
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Calculus/UniformLimitsDeriv.lean | uniformCauchySeqOn_ball_of_fderiv | [
176,
1
] | [
222,
25
] | [{"tactic": "letI : NormedSpace \u211d E := NormedSpace.restrictScalars \u211d \ud835\udd5c _", "annotated_tactic": ["letI : <a>NormedSpace</a> \u211d E := <a>NormedSpace.restrictScalars</a> \u211d \ud835\udd5c _", [{"full_name": "NormedSpace", "def_path": "Mathlib/Analysis/NormedSpace/Basic.lean", "def_pos": [43, 7], ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Basic.lean | DenseRange.mem_nhds | [
1909,
1
] | [
1912,
26
] | [] |
https://github.com/leanprover/std4 | 869c615eb10130c0637a7bc038e2b80253559913 | lake-packages/std/Std/Data/List/Lemmas.lean | List.map_add_range' | [
2002,
1
] | [
2004,
90
] | [{"tactic": "simp [range', map_add_range' _ (s + step) n step, Nat.add_assoc]", "annotated_tactic": ["simp [<a>range'</a>, map_add_range' _ (s + step) n step, <a>Nat.add_assoc</a>]", [{"full_name": "List.range'", "def_path": "lake-packages/std/Std/Data/List/Basic.lean", "def_pos": [1195, 5], "def_end_pos": [1195, 11]},... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/AlgebraicGeometry/Pullbacks.lean | AlgebraicGeometry.Scheme.Pullback.cocycle_fst_fst_snd | [
195,
1
] | [
198,
32
] | [{"tactic": "simp only [t'_fst_fst_snd]", "annotated_tactic": ["simp only [<a>t'_fst_fst_snd</a>]", [{"full_name": "AlgebraicGeometry.Scheme.Pullback.t'_fst_fst_snd", "def_path": "Mathlib/AlgebraicGeometry/Pullbacks.lean", "def_pos": [143, 9], "def_end_pos": [143, 23]}]], "state_before": "C : Type u\ninst\u271d\u00b9 :... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Sites/Sieves.lean | CategoryTheory.Presieve.singleton_eq_iff_domain | [
96,
1
] | [
101,
23
] | [{"tactic": "constructor", "annotated_tactic": ["constructor", []], "state_before": "C : Type u\u2081\ninst\u271d\u00b9 : Category.{v\u2081, u\u2081} C\nD : Type u\u2082\ninst\u271d : Category.{v\u2082, u\u2082} D\nF : C \u2964 D\nX Y Z : C\nf\u271d f g : Y \u27f6 X\n\u22a2 singleton f g \u2194 f = g", "state_after": "... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Computability/TuringMachine.lean | Turing.TM2to1.trNormal_run | [
2526,
1
] | [
2528,
18
] | [{"tactic": "cases s <;> rfl", "annotated_tactic": ["cases s <;> rfl", []], "state_before": "K : Type u_1\ninst\u271d\u00b2 : DecidableEq K\n\u0393 : K \u2192 Type u_2\n\u039b : Type u_3\ninst\u271d\u00b9 : Inhabited \u039b\n\u03c3 : Type u_4\ninst\u271d : Inhabited \u03c3\nk : K\ns : StAct k\nq : Stmt\u2082\n\u22a2 tr... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Convex/Cone/Pointed.lean | PointedCone.coe_map | [
125,
1
] | [
126,
6
] | [] |
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