url stringclasses 3
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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/RingTheory/Localization/Integral.lean | IsLocalization.integerNormalization_spec | [
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1
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93,
64
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/MetricSpace/Holder.lean | HolderOnWith.ediam_image_le_of_subset_of_le | [
169,
1
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171,
39
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Monotone/Basic.lean | antitone_toDual_comp_iff | [
179,
1
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180,
10
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Sheaves/PresheafOfFunctions.lean | TopCat.presheafToType_map | [
97,
1
] | [
99,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/PowerSeries/Basic.lean | PowerSeries.coeff_mul_eq_coeff_trunc_mul_trunc₂ | [
2875,
1
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2879,
89
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Image.lean | Set.preimage_inr_image_inl | [
937,
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/SetTheory/Ordinal/Arithmetic.lean | Ordinal.bsup_succ_of_mono | [
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1543,
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Sups.lean | Set.image_sup_prod | [
195,
1
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199,
33
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/NormedSpace/LinearIsometry.lean | LinearIsometryEquiv.congr_fun | [
591,
11
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592,
10
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/NatIso.lean | CategoryTheory.Iso.hom_inv_id_app | [
64,
1
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66,
52
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Real/Pi/Wallis.lean | Real.Wallis.W_succ | [
52,
1
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54,
22
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/MetricSpace/Basic.lean | Metric.secondCountable_of_almost_dense_set | [
2323,
1
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2330,
23
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Matrix/Basic.lean | Matrix.col_inj | [
2687,
9
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2687,
86
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Order/Monoid/ToMulBot.lean | WithZero.toMulBot_strictMono | [
56,
1
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56,
74
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Algebra/UniformConvergence.lean | UniformOnFun.continuousSMul_induced_of_image_bounded | [
219,
1
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262,
50
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Monoidal/CoherenceLemmas.lean | CategoryTheory.MonoidalCategory.triangle_assoc_comp_right_inv | [
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12
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Function.lean | Set.BijOn.invOn_invFunOn | [
1296,
1
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1297,
61
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/InnerProductSpace/Orthogonal.lean | Submodule.IsOrtho.symm | [
254,
1
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255,
55
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Order/UpperLower.lean | LowerSet.coe_mul | [
206,
1
] | [
207,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Grade.lean | grade_ne_grade_iff | [
190,
1
] | [
191,
25
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/NormedSpace/OperatorNorm.lean | ContinuousLinearEquiv.norm_pos | [
1976,
1
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1978,
95
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/ModelTheory/Semantics.lean | FirstOrder.Language.BoundedFormula.realize_relabelEquiv | [
490,
1
] | [
496,
22
] | [{"tactic": "simp only [relabelEquiv, mapTermRelEquiv_apply, Equiv.coe_refl]", "annotated_tactic": ["simp only [<a>relabelEquiv</a>, <a>mapTermRelEquiv_apply</a>, <a>Equiv.coe_refl</a>]", [{"full_name": "FirstOrder.Language.BoundedFormula.relabelEquiv", "def_path": "Mathlib/ModelTheory/Syntax.lean", "def_pos": [596, 5]... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Countable/Basic.lean | Function.Embedding.countable | [
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11
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43,
24
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/GroupTheory/Submonoid/Operations.lean | Submonoid.top_prod | [
878,
1
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879,
53
] | [{"tactic": "simp [mem_prod, MonoidHom.coe_snd]", "annotated_tactic": ["simp [<a>mem_prod</a>, <a>MonoidHom.coe_snd</a>]", [{"full_name": "Submonoid.mem_prod", "def_path": "Mathlib/GroupTheory/Submonoid/Operations.lean", "def_pos": [858, 9], "def_end_pos": [858, 17]}, {"full_name": "MonoidHom.coe_snd", "def_path": "Mat... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Finset/Basic.lean | Finset.mem_insert_self | [
1091,
1
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1092,
26
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Limits/Shapes/Pullbacks.lean | CategoryTheory.Limits.cospanCompIso_inv_app_left | [
314,
1
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315,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/BilinearForm.lean | BilinForm.isAdjointPair_iff_compLeft_eq_compRight | [
1048,
1
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1056,
11
] | [{"tactic": "constructor <;> intro h", "annotated_tactic": ["constructor <;> intro h", []], "state_before": "R : Type u_1\nM : Type u_2\ninst\u271d\u00b2\u2070 : Semiring R\ninst\u271d\u00b9\u2079 : AddCommMonoid M\ninst\u271d\u00b9\u2078 : Module R M\nR\u2081 : Type u_3\nM\u2081 : Type u_4\ninst\u271d\u00b9\u2077 : Ri... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Convex/Cone/Basic.lean | Submodule.toConvexCone_bot | [
532,
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533,
6
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Sups.lean | Set.Nonempty.of_sups_left | [
119,
1
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120,
26
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/PowerSeries/Basic.lean | PowerSeries.coeff_succ_X_mul | [
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1562,
20
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Monad/Basic.lean | CategoryTheory.MonadHom.id_toNatTrans | [
242,
1
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243,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Matrix/Basic.lean | RingEquiv.mapMatrix_trans | [
1569,
1
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1571,
6
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Module/Injective.lean | Module.Baer.extensionOfMax_adjoin.aux1 | [
259,
9
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266,
46
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Seq/Parallel.lean | Computation.parallel_congr_lem | [
371,
1
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378,
39
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Measure/Hausdorff.lean | MeasureTheory.hausdorffMeasure_measurePreserving_piFinTwo | [
1050,
1
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1054,
66
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Algebra/Group/Basic.lean | exists_isCompact_isClosed_subset_isCompact_nhds_one | [
1723,
1
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1727,
68
] | [{"tactic": "rcases exists_mem_nhds_isClosed_subset L1 with \u27e8K, hK, K_closed, KL\u27e9", "annotated_tactic": ["rcases <a>exists_mem_nhds_isClosed_subset</a> L1 with \u27e8K, hK, K_closed, KL\u27e9", [{"full_name": "exists_mem_nhds_isClosed_subset", "def_path": "Mathlib/Topology/Separation.lean", "def_pos": [1575, ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/MeasurableSpace/Defs.lean | MeasurableSet.congr | [
110,
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111,
12
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/AlgebraicTopology/AlternatingFaceMapComplex.lean | AlgebraicTopology.map_alternatingFaceMapComplex | [
192,
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211,
10
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Combinatorics/SetFamily/Intersecting.lean | Set.Intersecting.isUpperSet | [
111,
11
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118,
101
] | [{"tactic": "rintro a b hab ha", "annotated_tactic": ["rintro a b hab ha", []], "state_before": "\u03b1 : Type u_1\ninst\u271d\u00b9 : SemilatticeInf \u03b1\ninst\u271d : OrderBot \u03b1\ns t : Set \u03b1\na b c : \u03b1\nhs : Intersecting s\nh : \u2200 (t : Set \u03b1), Intersecting t \u2192 s \u2286 t \u2192 s = t\n\... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/SetTheory/Cardinal/Cofinality.lean | Cardinal.lsub_lt_ord_of_isRegular | [
1065,
1
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1067,
35
] | [{"tactic": "rwa [hc.cof_eq]", "annotated_tactic": ["rwa [hc.cof_eq]", []], "state_before": "\u03b1 : Type u_1\nr : \u03b1 \u2192 \u03b1 \u2192 Prop\n\u03b9 : Type (max u_2 u_3)\nf : \u03b9 \u2192 Ordinal.{max u_2 u_3}\nc : Cardinal.{max u_2 u_3}\nhc : IsRegular c\nh\u03b9 : #\u03b9 < c\n\u22a2 #\u03b9 < Ordinal.cof (o... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Normed/Group/Hom.lean | NormedAddGroupHom.bounds_bddBelow | [
229,
1
] | [
231,
27
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Algebra/Nonarchimedean/AdicTopology.lean | Ideal.hasBasis_nhds_zero_adic | [
93,
1
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104,
50
] | [{"tactic": "intro U", "annotated_tactic": ["intro U", []], "state_before": "R : Type u_1\ninst\u271d : CommRing R\nI : Ideal R\n\u22a2 \u2200 (t : Set R), t \u2208 \ud835\udcdd 0 \u2194 \u2203 i, True \u2227 \u2191(I ^ i) \u2286 t", "state_after": "R : Type u_1\ninst\u271d : CommRing R\nI : Ideal R\nU : Set R\n\u22a2 ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/BooleanAlgebra.lean | inf_inf_sdiff | [
102,
1
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103,
46
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Group/Prod.lean | Prod.fst_inv | [
134,
1
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135,
6
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/CubicDiscriminant.lean | Cubic.natDegree_of_a_ne_zero | [
382,
1
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383,
21
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/ZornAtoms.lean | IsAtomic.of_isChain_bounded | [
41,
1
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46,
91
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Matrix.lean | Matrix.frobenius_nnnorm_one | [
532,
1
] | [
539,
75
] | [{"tactic": "refine' (frobenius_nnnorm_diagonal _).trans _", "annotated_tactic": ["refine' (<a>frobenius_nnnorm_diagonal</a> _).<a>trans</a> _", [{"full_name": "Matrix.frobenius_nnnorm_diagonal", "def_path": "Mathlib/Analysis/Matrix.lean", "def_pos": [510, 9], "def_end_pos": [510, 34]}, {"full_name": "Eq.trans", "def_p... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/PFunctor/Multivariate/M.lean | MvPFunctor.M.dest_corec | [
213,
1
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221,
60
] | [{"tactic": "trans", "annotated_tactic": ["trans", []], "state_before": "n : \u2115\nP : MvPFunctor.{u} (n + 1)\n\u03b1 : TypeVec.{u} n\n\u03b2 : Type u\ng : \u03b2 \u2192 \u2191P (\u03b1 ::: \u03b2)\nx : \u03b2\n\u22a2 dest P (corec P g x) = (TypeVec.id ::: corec P g) <$$> g x", "state_after": "n : \u2115\nP : MvPFunc... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/NumberTheory/Liouville/Residual.lean | eventually_residual_liouville | [
56,
1
] | [
69,
60
] | [{"tactic": "rw [Filter.Eventually, setOf_liouville_eq_irrational_inter_iInter_iUnion]", "annotated_tactic": ["rw [<a>Filter.Eventually</a>, <a>setOf_liouville_eq_irrational_inter_iInter_iUnion</a>]", [{"full_name": "Filter.Eventually", "def_path": "Mathlib/Order/Filter/Basic.lean", "def_pos": [1072, 15], "def_end_pos"... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Constructions.lean | closedEmbedding_subtype_val | [
994,
1
] | [
996,
62
] | [{"tactic": "rwa [Subtype.range_coe_subtype]", "annotated_tactic": ["rwa [<a>Subtype.range_coe_subtype</a>]", [{"full_name": "Subtype.range_coe_subtype", "def_path": "Mathlib/Data/Set/Image.lean", "def_pos": [1425, 9], "def_end_pos": [1425, 26]}]], "state_before": "\u03b1 : Type u\n\u03b2 : Type v\n\u03b3 : Type u_1\n\... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/SetTheory/Ordinal/Basic.lean | Ordinal.lift_one | [
777,
1
] | [
778,
26
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/BoundedOrder.lean | Ne.lt_top | [
186,
1
] | [
187,
26
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Limits/Types.lean | CategoryTheory.Limits.Types.Colimit.w_apply' | [
435,
1
] | [
437,
30
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/GroupTheory/Coprod/Basic.lean | Monoid.Coprod.fst_surjective | [
552,
1
] | [
552,
95
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/Ideal/Operations.lean | Ideal.le_radical | [
929,
1
] | [
929,
79
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/CharP/Basic.lean | CharP.char_is_prime_of_two_le | [
527,
1
] | [
543,
67
] | [{"tactic": "rw [\u2039e = p\u203a] at hmul", "annotated_tactic": ["rw [\u2039e = p\u203a] at hmul", []], "state_before": "R : Type u_1\ninst\u271d\u00b9 : NonAssocSemiring R\ninst\u271d : NoZeroDivisors R\np : \u2115\nhc : CharP R p\nhp : 2 \u2264 p\nd : \u2115\nhdvd : \u2203 e, p = d * e\ne : \u2115\nhmul : p = d * e... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Monoidal/Center.lean | CategoryTheory.Center.associator_hom_f | [
262,
1
] | [
263,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Computability/Partrec.lean | Computable.pair | [
310,
8
] | [
312,
76
] | [{"tactic": "cases decode (\u03b1 := \u03b1) n <;> simp [Seq.seq]", "annotated_tactic": ["cases <a>decode</a> (\u03b1 := \u03b1) n <;> simp [<a>Seq.seq</a>]", [{"full_name": "Encodable.decode", "def_path": "Mathlib/Logic/Encodable/Basic.lean", "def_pos": [51, 3], "def_end_pos": [51, 9]}, {"full_name": "Seq.seq", "def_p... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/Ideal/Operations.lean | Ideal.sum_eq_sup | [
425,
1
] | [
426,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/AlgebraicTopology/SimplicialObject.lean | CategoryTheory.CosimplicialObject.δ_comp_δ_self' | [
514,
1
] | [
517,
21
] | [{"tactic": "subst H", "annotated_tactic": ["subst H", []], "state_before": "C : Type u\ninst\u271d : Category.{v, u} C\nX : CosimplicialObject C\nn : \u2115\ni : Fin (n + 2)\nj : Fin (n + 3)\nH : j = Fin.castSucc i\n\u22a2 \u03b4 X i \u226b \u03b4 X j = \u03b4 X i \u226b \u03b4 X (Fin.succ i)", "state_after": "C : Typ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/AlgebraicTopology/DoldKan/FunctorGamma.lean | AlgebraicTopology.DoldKan.Isδ₀.iff | [
54,
1
] | [
60,
68
] | [{"tactic": "constructor", "annotated_tactic": ["constructor", []], "state_before": "C : Type u_1\ninst\u271d\u00b9 : Category.{?u.1162, u_1} C\ninst\u271d : Preadditive C\nK K' : ChainComplex C \u2115\nf : K \u27f6 K'\n\u0394 \u0394' \u0394'' : SimplexCategory\nj : \u2115\ni : Fin (j + 2)\n\u22a2 Is\u03b4\u2080 (Simpl... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Lean/Thunk.lean | Thunk.ext | [
21,
1
] | [
25,
26
] | [{"tactic": "have \u27e8_\u27e9 := a", "annotated_tactic": ["have \u27e8_\u27e9 := a", []], "state_before": "\u03b1 : Type u\na b : Thunk \u03b1\neq : Thunk.get a = Thunk.get b\n\u22a2 a = b", "state_after": "\u03b1 : Type u\na b : Thunk \u03b1\nfn\u271d : Unit \u2192 \u03b1\neq : Thunk.get { fn := fn\u271d } = Thunk.g... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/GroupTheory/Coprod/Basic.lean | Monoid.Coprod.swap_comp_inr | [
364,
31
] | [
364,
87
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Real/NNReal.lean | Real.toNNReal_lt_toNNReal_iff_of_nonneg | [
661,
1
] | [
663,
80
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/EpiMono.lean | CategoryTheory.IsSplitMono.id | [
106,
1
] | [
107,
30
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Order/Ring/Lemmas.lean | mul_lt_mul_of_lt_of_lt' | [
243,
1
] | [
245,
71
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/Multilinear/Basic.lean | MultilinearMap.smul_apply | [
221,
1
] | [
222,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Init/Algebra/Classes.lean | eqv_lt_iff_eq | [
491,
1
] | [
493,
20
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/AlgebraicGeometry/Scheme.lean | AlgebraicGeometry.Scheme.id_val_base | [
109,
1
] | [
110,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/List/Perm.lean | List.Perm.permutations | [
1329,
1
] | [
1331,
67
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Function/L2Space.lean | MeasureTheory.L2.inner_indicatorConstLp_eq_set_integral_inner | [
234,
1
] | [
258,
33
] | [{"tactic": "rw [inner_def, \u2190 integral_add_compl hs (L2.integrable_inner _ f)]", "annotated_tactic": ["rw [<a>inner_def</a>, \u2190 <a>integral_add_compl</a> hs (<a>L2.integrable_inner</a> _ f)]", [{"full_name": "MeasureTheory.L2.inner_def", "def_path": "Mathlib/MeasureTheory/Function/L2Space.lean", "def_pos": [15... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/SetTheory/Ordinal/Arithmetic.lean | Ordinal.nat_cast_inj | [
2326,
1
] | [
2327,
43
] | [{"tactic": "simp only [le_antisymm_iff, nat_cast_le]", "annotated_tactic": ["simp only [<a>le_antisymm_iff</a>, <a>nat_cast_le</a>]", [{"full_name": "le_antisymm_iff", "def_path": "Mathlib/Init/Order/Defs.lean", "def_pos": [192, 9], "def_end_pos": [192, 24]}, {"full_name": "Ordinal.nat_cast_le", "def_path": "Mathlib/S... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/Matrix/ToLin.lean | Matrix.toLinAlgEquiv_toMatrixAlgEquiv | [
738,
1
] | [
740,
62
] | [{"tactic": "rw [\u2190 Matrix.toLinAlgEquiv_symm, AlgEquiv.apply_symm_apply]", "annotated_tactic": ["rw [\u2190 <a>Matrix.toLinAlgEquiv_symm</a>, <a>AlgEquiv.apply_symm_apply</a>]", [{"full_name": "Matrix.toLinAlgEquiv_symm", "def_path": "Mathlib/LinearAlgebra/Matrix/ToLin.lean", "def_pos": [732, 9], "def_end_pos": [7... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/GroupTheory/Submonoid/Operations.lean | Submonoid.map_inl | [
908,
1
] | [
911,
70
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Probability/Kernel/WithDensity.lean | ProbabilityTheory.kernel.IsSFiniteKernel.withDensity | [
215,
8
] | [
223,
70
] | [{"tactic": "have h_eq_sum : withDensity \u03ba f = kernel.sum fun i => withDensity (seq \u03ba i) f := by\n rw [\u2190 withDensity_kernel_sum _ _]\n congr\n exact (kernel_sum_seq \u03ba).symm", "annotated_tactic": ["have h_eq_sum : <a>withDensity</a> \u03ba f = <a>kernel.sum</a> fun i => <a>withDensity</a> (<a>seq<... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Algebra/Group/Basic.lean | continuousAt_inv | [
213,
1
] | [
214,
30
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Ring/Divisibility/Basic.lean | two_dvd_bit1 | [
133,
1
] | [
134,
29
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/FieldTheory/Finite/Basic.lean | FiniteField.pow_card | [
229,
1
] | [
233,
13
] | [{"tactic": "have hp : 0 < Fintype.card K := lt_trans zero_lt_one Fintype.one_lt_card", "annotated_tactic": ["have hp : 0 < <a>Fintype.card</a> K := <a>lt_trans</a> <a>zero_lt_one</a> <a>Fintype.one_lt_card</a>", [{"full_name": "Fintype.card", "def_path": "Mathlib/Data/Fintype/Card.lean", "def_pos": [61, 5], "def_end_p... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/BigOperators/Basic.lean | Finset.prod_cancels_of_partition_cancels | [
1605,
1
] | [
1611,
19
] | [{"tactic": "rw [prod_partition R, \u2190 Finset.prod_eq_one]", "annotated_tactic": ["rw [<a>prod_partition</a> R, \u2190 <a>Finset.prod_eq_one</a>]", [{"full_name": "Finset.prod_partition", "def_path": "Mathlib/Algebra/BigOperators/Basic.lean", "def_pos": [1596, 9], "def_end_pos": [1596, 23]}, {"full_name": "Finset.pr... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/GroupTheory/Submonoid/Operations.lean | Submonoid.bot_prod_bot | [
890,
1
] | [
891,
62
] | [{"tactic": "simp [coe_prod, Prod.one_eq_mk]", "annotated_tactic": ["simp [<a>coe_prod</a>, <a>Prod.one_eq_mk</a>]", [{"full_name": "Submonoid.coe_prod", "def_path": "Mathlib/GroupTheory/Submonoid/Operations.lean", "def_pos": [851, 9], "def_end_pos": [851, 17]}, {"full_name": "Prod.one_eq_mk", "def_path": "Mathlib/Alge... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Sets/Compacts.lean | TopologicalSpace.PositiveCompacts.coe_toCompacts | [
362,
1
] | [
363,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Hom/GroupInstances.lean | MonoidHom.compl₂_apply | [
257,
1
] | [
259,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/List/Basic.lean | List.getLastI_eq_getLast? | [
784,
1
] | [
789,
74
] | [{"tactic": "simp [getLastI, Inhabited.default]", "annotated_tactic": ["simp [<a>getLastI</a>, <a>Inhabited.default</a>]", [{"full_name": "List.getLastI", "def_path": "Mathlib/Init/Data/List/Basic.lean", "def_pos": [67, 5], "def_end_pos": [67, 13]}, {"full_name": "Inhabited.default", "def_path": "lake-packages/lean4/sr... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Algebra/Module/FiniteDimension.lean | LinearEquiv.coe_toContinuousLinearEquiv_symm | [
376,
1
] | [
378,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/MonoidAlgebra/ToDirectSum.lean | DirectSum.toAddMonoidAlgebra_add | [
175,
1
] | [
177,
29
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Function/SimpleFunc.lean | MeasureTheory.SimpleFunc.FinMeasSupp.map₂ | [
1213,
11
] | [
1215,
21
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Filter/Extr.lean | IsExtrFilter.filter_mono | [
265,
1
] | [
266,
81
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/SpecialFunctions/Trigonometric/Angle.lean | Real.Angle.two_nsmul_eq_iff | [
191,
1
] | [
192,
62
] | [{"tactic": "simp_rw [\u2190 coe_nat_zsmul, Nat.cast_ofNat, two_zsmul_eq_iff]", "annotated_tactic": ["simp_rw [\u2190 <a>coe_nat_zsmul</a>, <a>Nat.cast_ofNat</a>, <a>two_zsmul_eq_iff</a>]", [{"full_name": "coe_nat_zsmul", "def_path": "Mathlib/Data/Int/Basic.lean", "def_pos": [91, 41], "def_end_pos": [91, 54]}, {"full_n... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/IsROrC/Basic.lean | IsROrC.norm_re_le_norm | [
731,
1
] | [
732,
19
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Seminorm.lean | Seminorm.finset_sup_apply_le | [
429,
1
] | [
433,
24
] | [{"tactic": "lift a to \u211d\u22650 using ha", "annotated_tactic": ["lift a to \u211d\u22650 using ha", []], "state_before": "R : Type u_1\nR' : Type u_2\n\ud835\udd5c : Type u_3\n\ud835\udd5c\u2082 : Type u_4\n\ud835\udd5c\u2083 : Type u_5\n\ud835\udd5d : Type u_6\nE : Type u_7\nE\u2082 : Type u_8\nE\u2083 : Type u_9... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/List/Basic.lean | List.takeWhile_eq_self_iff | [
3548,
1
] | [
3551,
56
] | [{"tactic": "induction' l with x xs IH", "annotated_tactic": ["induction' l with x xs IH", []], "state_before": "\u03b9 : Type u_1\n\u03b1 : Type u\n\u03b2 : Type v\n\u03b3 : Type w\nl\u2081 l\u2082 : List \u03b1\np : \u03b1 \u2192 Bool\nl : List \u03b1\n\u22a2 takeWhile p l = l \u2194 \u2200 (x : \u03b1), x \u2208 l \... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Concept.lean | Concept.sSup_snd | [
354,
1
] | [
355,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/BoxIntegral/Partition/Tagged.lean | BoxIntegral.TaggedPrepartition.disjUnion_tag_of_mem_right | [
375,
1
] | [
377,
96
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Geometry/Manifold/VectorBundle/Tangent.lean | TangentBundle.mem_chart_target_iff | [
239,
1
] | [
247,
82
] | [{"tactic": "simp only [FiberBundle.chartedSpace_chartAt, mfld_simps]", "annotated_tactic": ["simp only [<a>FiberBundle.chartedSpace_chartAt</a>, mfld_simps]", [{"full_name": "FiberBundle.chartedSpace_chartAt", "def_path": "Mathlib/Geometry/Manifold/VectorBundle/Basic.lean", "def_pos": [110, 9], "def_end_pos": [110, 41... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Preadditive/Schur.lean | CategoryTheory.isIso_of_hom_simple | [
44,
1
] | [
47,
29
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/Span.lean | Submodule.span_induction | [
149,
1
] | [
151,
77
] | [{"tactic": "intros x y", "annotated_tactic": ["intros x y", []], "state_before": "R : Type u_1\nR\u2082 : Type u_2\nK : Type u_3\nM : Type u_4\nM\u2082 : Type u_5\nV : Type u_6\nS : Type u_7\ninst\u271d\u2076 : Semiring R\ninst\u271d\u2075 : AddCommMonoid M\ninst\u271d\u2074 : Module R M\nx : M\np\u271d p' : Submodule... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/FieldTheory/Minpoly/Basic.lean | minpoly.eq_X_sub_C_of_algebraMap_inj | [
206,
1
] | [
215,
51
] | [{"tactic": "nontriviality A", "annotated_tactic": ["nontriviality A", []], "state_before": "A : Type u_1\nB : Type u_2\nB' : Type u_3\ninst\u271d\u00b2 : CommRing A\ninst\u271d\u00b9 : Ring B\ninst\u271d : Algebra A B\nx : B\na : A\nhf : Injective \u2191(algebraMap A B)\n\u22a2 minpoly A (\u2191(algebraMap A B) a) = X... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Filter/CountableSeparatingOn.lean | Filter.exists_singleton_mem_of_forall_separating | [
183,
1
] | [
186,
65
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Algebra/Subalgebra/Basic.lean | Subalgebra.mem_map | [
494,
1
] | [
495,
22
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Filter/Extr.lean | IsMaxFilter.comp_tendsto | [
401,
1
] | [
403,
8
] | [] |
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