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/MeasureTheory/Integral/IntegralEqImproper.lean | MeasureTheory.aecover_Ioo | [
158,
1
] | [
159,
42
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Constructions.lean | continuous_prod_mk | [
320,
9
] | [
324,
54
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Probability/ProbabilityMassFunction/Constructions.lean | PMF.toMeasure_ofFintype_apply | [
229,
1
] | [
231,
94
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Function/AEEqFun.lean | MeasureTheory.AEEqFun.smul_mk | [
664,
1
] | [
666,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Monoidal/Category.lean | CategoryTheory.MonoidalCategory.rightUnitor_conjugation | [
288,
1
] | [
290,
72
] | [{"tactic": "rw [\u2190 rightUnitor_naturality_assoc, Iso.hom_inv_id, Category.comp_id]", "annotated_tactic": ["rw [\u2190 <a>rightUnitor_naturality_assoc</a>, <a>Iso.hom_inv_id</a>, <a>Category.comp_id</a>]", [{"full_name": "CategoryTheory.MonoidalCategory.rightUnitor_naturality_assoc", "def_path": "Mathlib/CategoryTh... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/Subring/Basic.lean | Subring.map_iSup | [
1080,
1
] | [
1082,
26
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/NumberTheory/LucasLehmer.lean | LucasLehmer.X.zero_fst | [
208,
9
] | [
208,
50
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Constructions.lean | Continuous.snd | [
370,
1
] | [
371,
25
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Category/AlgebraCat/Basic.lean | AlgebraCat.id_apply | [
136,
1
] | [
137,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/CompleteBooleanAlgebra.lean | iSup_inf_of_antitone | [
274,
1
] | [
276,
66
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Finset/NAry.lean | Finset.image₂_left_identity | [
507,
1
] | [
509,
81
] | [{"tactic": "rw [coe_image\u2082, coe_singleton, Set.image2_left_identity h]", "annotated_tactic": ["rw [<a>coe_image\u2082</a>, <a>coe_singleton</a>, <a>Set.image2_left_identity</a> h]", [{"full_name": "Finset.coe_image\u2082", "def_path": "Mathlib/Data/Finset/NAry.lean", "def_pos": [49, 9], "def_end_pos": [49, 19]}, ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Associated.lean | Prime.not_dvd_mul | [
54,
1
] | [
55,
44
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Fin/Basic.lean | Fin.succAbove_left_injective | [
1480,
1
] | [
1481,
92
] | [{"tactic": "simpa [range_succAbove] using congr_arg (fun f : Fin n \u2192 Fin (n + 1) => (Set.range f)\u1d9c) h", "annotated_tactic": ["simpa [<a>range_succAbove</a>] using <a>congr_arg</a> (fun f : <a>Fin</a> n \u2192 <a>Fin</a> (n + 1) => (<a>Set.range</a> f)\u1d9c) h", [{"full_name": "Fin.range_succAbove", "def_pat... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Category/OmegaCompletePartialOrder.lean | ωCPO.coe_of | [
63,
1
] | [
64,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/LocallyConvex/WithSeminorms.lean | WithSeminorms.separating_iff_T1 | [
365,
1
] | [
369,
42
] | [{"tactic": "refine' \u27e8WithSeminorms.T1_of_separating hp, _\u27e9", "annotated_tactic": ["refine' \u27e8<a>WithSeminorms.T1_of_separating</a> hp, _\u27e9", [{"full_name": "WithSeminorms.T1_of_separating", "def_path": "Mathlib/Analysis/LocallyConvex/WithSeminorms.lean", "def_pos": [342, 9], "def_end_pos": [342, 39]}... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Function/AEEqFun.lean | MeasureTheory.AEEqFun.aestronglyMeasurable | [
139,
11
] | [
140,
44
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Monoidal/OfChosenFiniteProducts/Basic.lean | CategoryTheory.Limits.BinaryFan.swap_fst | [
51,
1
] | [
52,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Tactic/Positivity/Basic.lean | Mathlib.Meta.Positivity.abs_pos_of_ne_zero | [
376,
9
] | [
377,
75
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Module/Submodule/Lattice.lean | Submodule.top_coe | [
150,
1
] | [
151,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/DFinsupp/Basic.lean | DFinsupp.finite_support | [
574,
1
] | [
578,
64
] | [{"tactic": "classical!", "annotated_tactic": ["classical!", []], "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 : (i : \u03b9) \u2192 Zero (\u03b2 i)\nf : \u03a0... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Filter/AtTopBot.lean | Filter.atTop_basis | [
131,
1
] | [
132,
72
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Instances/EReal.lean | EReal.tendsto_nhds_bot_iff_real | [
168,
1
] | [
170,
81
] | [{"tactic": "simp only [true_implies, mem_Iio]", "annotated_tactic": ["simp only [<a>true_implies</a>, <a>mem_Iio</a>]", [{"full_name": "true_implies", "def_path": "lake-packages/lean4/src/lean/Init/SimpLemmas.lean", "def_pos": [99, 17], "def_end_pos": [99, 29]}, {"full_name": "Set.mem_Iio", "def_path": "Mathlib/Data/S... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/MetricSpace/HausdorffDimension.lean | ContDiffOn.dense_compl_image_of_dimH_lt_finrank | [
622,
1
] | [
625,
73
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Real/ENNReal.lean | ENNReal.toReal_le_coe_of_le_coe | [
750,
1
] | [
752,
16
] | [{"tactic": "lift a to \u211d\u22650 using ne_top_of_le_ne_top coe_ne_top h", "annotated_tactic": ["lift a to \u211d\u22650 using <a>ne_top_of_le_ne_top</a> <a>coe_ne_top</a> h", [{"full_name": "ne_top_of_le_ne_top", "def_path": "Mathlib/Order/BoundedOrder.lean", "def_pos": [194, 9], "def_end_pos": [194, 28]}, {"full_n... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/GroupTheory/Subgroup/Basic.lean | MonoidHom.eq_of_eqOn_top | [
2991,
1
] | [
2992,
26
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Finset/Basic.lean | Finset.mem_cons_self | [
861,
1
] | [
862,
29
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Finite.lean | Set.Finite.fin_param | [
1095,
1
] | [
1098,
26
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Seminorm.lean | Seminorm.closedBall_iSup | [
984,
1
] | [
991,
86
] | [{"tactic": "cases isEmpty_or_nonempty \u03b9", "annotated_tactic": ["cases <a>isEmpty_or_nonempty</a> \u03b9", [{"full_name": "isEmpty_or_nonempty", "def_path": "Mathlib/Logic/IsEmpty.lean", "def_pos": [207, 9], "def_end_pos": [207, 28]}]], "state_before": "R : Type u_1\nR' : Type u_2\n\ud835\udd5c : Type u_3\n\ud835\... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Geometry/Manifold/Algebra/SmoothFunctions.lean | SmoothMap.mul_comp | [
47,
1
] | [
49,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Measure/AEMeasurable.lean | AEMeasurable.sum_measure | [
75,
1
] | [
111,
41
] | [{"tactic": "nontriviality \u03b2", "annotated_tactic": ["nontriviality \u03b2", []], "state_before": "\u03b9 : Type u_1\n\u03b1 : Type u_2\n\u03b2 : Type u_3\n\u03b3 : Type u_4\n\u03b4 : Type u_5\nR : Type u_6\nm0 : MeasurableSpace \u03b1\ninst\u271d\u00b3 : MeasurableSpace \u03b2\ninst\u271d\u00b2 : MeasurableSpace \... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/InnerProductSpace/Basic.lean | norm_inner_eq_norm_tfae | [
1584,
1
] | [
1606,
14
] | [{"tactic": "tfae_have 1 \u2192 2", "annotated_tactic": ["tfae_have 1 \u2192 2", []], "state_before": "\ud835\udd5c : Type u_1\nE : Type u_2\nF : Type u_3\ninst\u271d\u2074 : IsROrC \ud835\udd5c\ninst\u271d\u00b3 : NormedAddCommGroup E\ninst\u271d\u00b2 : InnerProductSpace \ud835\udd5c E\ninst\u271d\u00b9 : NormedAddCo... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/TrivSqZeroExt.lean | TrivSqZeroExt.inr_zero | [
348,
1
] | [
349,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Compactness/Compact.lean | Filter.Tendsto.isCompact_insert_range_of_cocompact | [
548,
1
] | [
562,
54
] | [{"tactic": "intro l hne hle", "annotated_tactic": ["intro l hne hle", []], "state_before": "\u03b1 : Type u\n\u03b2 : Type v\n\u03b9 : Type u_1\n\u03c0 : \u03b9 \u2192 Type u_2\ninst\u271d\u00b9 : TopologicalSpace \u03b1\ninst\u271d : TopologicalSpace \u03b2\ns t : Set \u03b1\nf : \u03b1 \u2192 \u03b2\nb : \u03b2\nhf ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Nat/Choose/Basic.lean | Nat.ascFactorial_eq_factorial_mul_choose | [
235,
1
] | [
241,
28
] | [{"tactic": "rw [mul_comm]", "annotated_tactic": ["rw [<a>mul_comm</a>]", [{"full_name": "mul_comm", "def_path": "Mathlib/Algebra/Group/Defs.lean", "def_pos": [302, 9], "def_end_pos": [302, 17]}]], "state_before": "n k : \u2115\n\u22a2 ascFactorial n k = k ! * choose (n + k) k", "state_after": "n k : \u2115\n\u22a2 asc... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Algebra/Group/Basic.lean | Filter.Tendsto.inv | [
230,
1
] | [
232,
36
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/GaloisConnection.lean | GaloisConnection.isGreatest_u | [
143,
1
] | [
144,
20
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Logic/Equiv/Basic.lean | Equiv.prodCongr_symm | [
116,
1
] | [
118,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Intervals/OrderIso.lean | OrderIso.preimage_Iic | [
26,
1
] | [
28,
23
] | [{"tactic": "ext x", "annotated_tactic": ["ext x", []], "state_before": "\u03b1 : Type u_2\n\u03b2 : Type u_1\ninst\u271d\u00b9 : Preorder \u03b1\ninst\u271d : Preorder \u03b2\ne : \u03b1 \u2243o \u03b2\nb : \u03b2\n\u22a2 \u2191e \u207b\u00b9' Iic b = Iic (\u2191(symm e) b)", "state_after": "case h\n\u03b1 : Type u_2\... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Control/Traversable/Instances.lean | Option.id_traverse | [
33,
1
] | [
34,
18
] | [{"tactic": "cases x <;> rfl", "annotated_tactic": ["cases x <;> rfl", []], "state_before": "F G : Type u \u2192 Type u\ninst\u271d\u00b3 : Applicative F\ninst\u271d\u00b2 : Applicative G\ninst\u271d\u00b9 : LawfulApplicative F\ninst\u271d : LawfulApplicative G\n\u03b1 : Type u_1\nx : Option \u03b1\n\u22a2 Option.trave... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/NormedSpace/HomeomorphBall.lean | Homeomorph.coe_unitBall_apply_zero | [
97,
1
] | [
99,
42
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/SpecialFunctions/Pow/Real.lean | Real.rpow_add' | [
177,
1
] | [
182,
27
] | [{"tactic": "rcases hx.eq_or_lt with (rfl | pos)", "annotated_tactic": ["rcases hx.eq_or_lt with (rfl | pos)", []], "state_before": "x y z : \u211d\nhx : 0 \u2264 x\nh : y + z \u2260 0\n\u22a2 x ^ (y + z) = x ^ y * x ^ z", "state_after": "case inl\ny z : \u211d\nh : y + z \u2260 0\nhx : 0 \u2264 0\n\u22a2 0 ^ (y + z) =... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Finsupp/Order.lean | Finsupp.subset_support_tsub | [
232,
1
] | [
234,
55
] | [{"tactic": "simp (config := { contextual := true }) [subset_iff]", "annotated_tactic": ["simp (config := { contextual := <a>true</a> }) [<a>subset_iff</a>]", [{"full_name": "Bool.true", "def_path": "lake-packages/lean4/src/lean/Init/Prelude.lean", "def_pos": [549, 5], "def_end_pos": [549, 9]}, {"full_name": "Finset.su... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Tactic/Ring/Basic.lean | Mathlib.Tactic.Ring.pow_add | [
805,
1
] | [
806,
68
] | [{"tactic": "subst_vars", "annotated_tactic": ["subst_vars", []], "state_before": "u : Lean.Level\nR : Type u_1\n\u03b1 : Q(Type u)\ns\u03b1 : Q(CommSemiring \u00ab$\u03b1\u00bb)\ninst\u271d : CommSemiring R\na : R\nb\u2081 : \u2115\nc\u2081 : R\nb\u2082 : \u2115\nc\u2082 d : R\nx\u271d\u00b2 : a ^ b\u2081 = c\u2081\nx... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/Derivation/Basic.lean | Derivation.coe_add | [
206,
1
] | [
207,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/FreeMonoid/Basic.lean | FreeMonoid.ofList_smul | [
298,
1
] | [
300,
38
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Abelian/Exact.lean | CategoryTheory.Abelian.kernel.lift.inv | [
199,
1
] | [
203,
7
] | [{"tactic": "have := isIso_kernel_lift_of_exact_of_mono _ _ ex", "annotated_tactic": ["have := <a>isIso_kernel_lift_of_exact_of_mono</a> _ _ ex", [{"full_name": "CategoryTheory.Abelian.isIso_kernel_lift_of_exact_of_mono", "def_path": "Mathlib/CategoryTheory/Abelian/Exact.lean", "def_pos": [193, 7], "def_end_pos": [193,... |
https://github.com/leanprover/std4 | 869c615eb10130c0637a7bc038e2b80253559913 | lake-packages/std/Std/Data/Fin/Lemmas.lean | Fin.rev_le_rev | [
130,
9
] | [
132,
29
] | [{"tactic": "simp only [le_def, val_rev, Nat.sub_le_sub_iff_left (Nat.succ_le.2 j.is_lt)]", "annotated_tactic": ["simp only [<a>le_def</a>, <a>val_rev</a>, <a>Nat.sub_le_sub_iff_left</a> (<a>Nat.succ_le</a>.2 j.is_lt)]", [{"full_name": "Fin.le_def", "def_path": "lake-packages/std/Std/Data/Fin/Lemmas.lean", "def_pos": [... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Instances/ENNReal.lean | hasSum_iff_tendsto_nat_of_nonneg | [
1319,
1
] | [
1323,
61
] | [{"tactic": "lift f to \u2115 \u2192 \u211d\u22650 using hf", "annotated_tactic": ["lift f to \u2115 \u2192 \u211d\u22650 using hf", []], "state_before": "\u03b1 : Type u_1\n\u03b2 : Type u_2\n\u03b3 : Type u_3\nf : \u2115 \u2192 \u211d\nhf : \u2200 (i : \u2115), 0 \u2264 f i\nr : \u211d\n\u22a2 HasSum f r \u2194 Tends... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Module/Torsion.lean | Submodule.pow_pOrder_smul | [
777,
1
] | [
779,
53
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Filter/Basic.lean | Filter.Eventually.comap | [
2135,
1
] | [
2137,
24
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/AffineSpace/Midpoint.lean | Equiv.pointReflection_midpoint_right | [
83,
1
] | [
85,
58
] | [{"tactic": "rw [midpoint_comm, Equiv.pointReflection_midpoint_left]", "annotated_tactic": ["rw [<a>midpoint_comm</a>, <a>Equiv.pointReflection_midpoint_left</a>]", [{"full_name": "midpoint_comm", "def_path": "Mathlib/LinearAlgebra/AffineSpace/Midpoint.lean", "def_pos": [73, 9], "def_end_pos": [73, 22]}, {"full_name": ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/NumberTheory/Cyclotomic/Basic.lean | CyclotomicRing.algebraBase_injective | [
633,
1
] | [
634,
46
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/NormedSpace/Exponential.lean | exp_ℝ_ℂ_eq_exp_ℂ_ℂ | [
665,
1
] | [
666,
19
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Integral/SetToL1.lean | MeasureTheory.DominatedFinMeasAdditive.smul | [
224,
1
] | [
229,
74
] | [{"tactic": "refine' \u27e8hT.1.smul c, fun s hs h\u03bcs => _\u27e9", "annotated_tactic": ["refine' \u27e8hT.1.<a>smul</a> c, fun s hs h\u03bcs => _\u27e9", [{"full_name": "MeasureTheory.FinMeasAdditive.smul", "def_path": "Mathlib/MeasureTheory/Integral/SetToL1.lean", "def_pos": [113, 9], "def_end_pos": [113, 13]}]], ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Finset/Basic.lean | Finset.sdiff_inter_self | [
2116,
1
] | [
2117,
22
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/InnerProductSpace/Basic.lean | re_inner_eq_norm_add_mul_self_sub_norm_mul_self_sub_norm_mul_self_div_two | [
1131,
1
] | [
1134,
7
] | [{"tactic": "rw [@norm_add_mul_self \ud835\udd5c]", "annotated_tactic": ["rw [@<a>norm_add_mul_self</a> \ud835\udd5c]", [{"full_name": "norm_add_mul_self", "def_path": "Mathlib/Analysis/InnerProductSpace/Basic.lean", "def_pos": [1045, 9], "def_end_pos": [1045, 26]}]], "state_before": "\ud835\udd5c : Type u_1\nE : Type ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Hom/Lattice.lean | SupHom.id_apply | [
392,
1
] | [
393,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Combinatorics/SimpleGraph/Matching.lean | SimpleGraph.Subgraph.IsMatching.toEdge.surjective | [
70,
1
] | [
74,
55
] | [{"tactic": "rintro \u27e8e, he\u27e9", "annotated_tactic": ["rintro \u27e8e, he\u27e9", []], "state_before": "V : Type u\nG : SimpleGraph V\nM\u271d M : Subgraph G\nh : IsMatching M\n\u22a2 Function.Surjective (toEdge h)", "state_after": "case mk\nV : Type u\nG : SimpleGraph V\nM\u271d M : Subgraph G\nh : IsMatching M... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Calculus/Dslope.lean | dslope_eventuallyEq_slope_of_ne | [
59,
1
] | [
60,
69
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Calculus/FDeriv/Basic.lean | hasFDerivWithinAt_congr_set' | [
840,
1
] | [
849,
73
] | [{"tactic": "suffices \ud835\udcdd[s \\ {y}] x = \ud835\udcdd[t \\ {y}] x by simp only [HasFDerivWithinAt, this]", "annotated_tactic": ["suffices \ud835\udcdd[s \\ {y}] x = \ud835\udcdd[t \\ {y}] x by simp only [<a>HasFDerivWithinAt</a>, this]", [{"full_name": "HasFDerivWithinAt", "def_path": "Mathlib/Analysis/Calculus... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Combinatorics/SimpleGraph/Hasse.lean | SimpleGraph.pathGraph_connected | [
110,
1
] | [
111,
29
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Lie/Submodule.lean | LieSubmodule.sInf_coe | [
438,
1
] | [
442,
48
] | [{"tactic": "rw [\u2190 LieSubmodule.coe_toSubmodule, sInf_coe_toSubmodule, Submodule.sInf_coe]", "annotated_tactic": ["rw [\u2190 <a>LieSubmodule.coe_toSubmodule</a>, <a>sInf_coe_toSubmodule</a>, <a>Submodule.sInf_coe</a>]", [{"full_name": "LieSubmodule.coe_toSubmodule", "def_path": "Mathlib/Algebra/Lie/Submodule.lean... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/WellFoundedSet.lean | Set.Subsingleton.wellFoundedOn | [
531,
11
] | [
532,
26
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Convex/Function.lean | concaveOn_iff_convex_hypograph | [
264,
1
] | [
266,
56
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Group/Units.lean | Units.inv_mul_of_eq | [
274,
1
] | [
274,
84
] | [{"tactic": "rw [\u2190 h, u.inv_mul]", "annotated_tactic": ["rw [\u2190 h, u.inv_mul]", []], "state_before": "\u03b1 : Type u\ninst\u271d : Monoid \u03b1\na\u271d b c u : \u03b1\u02e3\na : \u03b1\nh : \u2191u = a\n\u22a2 \u2191u\u207b\u00b9 * a = 1", "state_after": "no goals"}] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Integral/SetToL1.lean | MeasureTheory.L1.setToL1_congr_left | [
1054,
1
] | [
1062,
47
] | [{"tactic": "suffices setToL1 hT = setToL1 hT' by rw [this]", "annotated_tactic": ["suffices <a>setToL1</a> hT = <a>setToL1</a> hT' by rw [this]", [{"full_name": "MeasureTheory.L1.setToL1", "def_path": "Mathlib/MeasureTheory/Integral/SetToL1.lean", "def_pos": [1019, 5], "def_end_pos": [1019, 12]}, {"full_name": "Measur... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Stream/Init.lean | Stream'.get_nats | [
758,
1
] | [
759,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Order/Field/Basic.lean | div_le_one_iff | [
854,
1
] | [
858,
49
] | [{"tactic": "rcases lt_trichotomy b 0 with (hb | rfl | hb)", "annotated_tactic": ["rcases <a>lt_trichotomy</a> b 0 with (hb | rfl | hb)", [{"full_name": "lt_trichotomy", "def_path": "Mathlib/Init/Order/Defs.lean", "def_pos": [311, 9], "def_end_pos": [311, 22]}]], "state_before": "\u03b9 : Type u_1\n\u03b1 : Type u_2\n\... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/ContinuedFractions/Computation/Approximations.lean | GeneralizedContinuedFraction.succ_nth_fib_le_of_nth_denom | [
237,
1
] | [
244,
40
] | [{"tactic": "rw [denom_eq_conts_b, nth_cont_eq_succ_nth_cont_aux]", "annotated_tactic": ["rw [<a>denom_eq_conts_b</a>, <a>nth_cont_eq_succ_nth_cont_aux</a>]", [{"full_name": "GeneralizedContinuedFraction.denom_eq_conts_b", "def_path": "Mathlib/Algebra/ContinuedFractions/Translations.lean", "def_pos": [98, 9], "def_end_... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Separation.lean | regularSpace_induced | [
1645,
1
] | [
1647,
30
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Finset/Image.lean | Finset.mem_filterMap | [
687,
1
] | [
688,
24
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Real/EReal.lean | EReal.add_lt_add | [
696,
1
] | [
701,
42
] | [{"tactic": "rcases eq_or_ne x \u22a5 with (rfl | hx)", "annotated_tactic": ["rcases <a>eq_or_ne</a> x \u22a5 with (rfl | hx)", [{"full_name": "eq_or_ne", "def_path": "Mathlib/Logic/Basic.lean", "def_pos": [209, 9], "def_end_pos": [209, 17]}]], "state_before": "x y z t : EReal\nh1 : x < y\nh2 : z < t\n\u22a2 x + z < y ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Stream/Init.lean | Stream'.interleave_eq | [
415,
1
] | [
418,
78
] | [{"tactic": "let t := tail s\u2081 \u22c8 tail s\u2082", "annotated_tactic": ["let t := <a>tail</a> s\u2081 \u22c8 <a>tail</a> s\u2082", [{"full_name": "Stream'.tail", "def_path": "Mathlib/Data/Stream/Defs.lean", "def_pos": [44, 5], "def_end_pos": [44, 9]}, {"full_name": "Stream'.tail", "def_path": "Mathlib/Data/Stream... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Complex/Exponential.lean | Real.tan_mul_cos | [
1230,
1
] | [
1231,
47
] | [{"tactic": "rw [tan_eq_sin_div_cos, div_mul_cancel _ hx]", "annotated_tactic": ["rw [<a>tan_eq_sin_div_cos</a>, <a>div_mul_cancel</a> _ hx]", [{"full_name": "Real.tan_eq_sin_div_cos", "def_path": "Mathlib/Data/Complex/Exponential.lean", "def_pos": [1226, 16], "def_end_pos": [1226, 34]}, {"full_name": "div_mul_cancel",... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/NormedSpace/Spectrum.lean | spectrum.limsup_pow_nnnorm_pow_one_div_le_spectralRadius | [
344,
1
] | [
359,
85
] | [{"tactic": "refine' ENNReal.inv_le_inv.mp (le_of_forall_pos_nnreal_lt fun r r_pos r_lt => _)", "annotated_tactic": ["refine' ENNReal.inv_le_inv.mp (<a>le_of_forall_pos_nnreal_lt</a> fun r r_pos r_lt => _)", [{"full_name": "ENNReal.le_of_forall_pos_nnreal_lt", "def_path": "Mathlib/Data/Real/ENNReal.lean", "def_pos": [1... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/NormedSpace/OperatorNorm.lean | ContinuousLinearMap.op_nnnorm_eq_of_bounds | [
426,
1
] | [
428,
89
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Algebra/NonUnitalSubalgebra.lean | NonUnitalSubalgebra.mem_comap | [
350,
1
] | [
351,
10
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/FractionalIdeal.lean | FractionalIdeal.canonicalEquiv_coeIdeal | [
938,
1
] | [
940,
31
] | [{"tactic": "ext", "annotated_tactic": ["ext", []], "state_before": "R : Type u_1\ninst\u271d\u2076 : CommRing R\nS : Submonoid R\nP : Type u_2\ninst\u271d\u2075 : CommRing P\ninst\u271d\u2074 : Algebra R P\nloc : IsLocalization S P\nP' : Type u_3\ninst\u271d\u00b3 : CommRing P'\ninst\u271d\u00b2 : Algebra R P'\nloc' :... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Asymptotics/Asymptotics.lean | Asymptotics.isLittleO_bot | [
655,
1
] | [
656,
58
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/Matrix/Spectrum.lean | Matrix.IsHermitian.eigenvalues_eq | [
124,
1
] | [
133,
18
] | [{"tactic": "have := hA.spectral_theorem", "annotated_tactic": ["have := hA.spectral_theorem", []], "state_before": "\ud835\udd5c : Type u_1\ninst\u271d\u00b2 : IsROrC \ud835\udd5c\nn : Type u_2\ninst\u271d\u00b9 : Fintype n\ninst\u271d : DecidableEq n\nA : Matrix n n \ud835\udd5c\nhA : IsHermitian A\ni : n\n\u22a2 eig... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/SetTheory/Cardinal/Ordinal.lean | Cardinal.aleph'_lt | [
176,
1
] | [
177,
28
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/List/Basic.lean | List.sublist_of_cons_sublist_cons | [
1017,
1
] | [
1019,
30
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Intervals/Group.lean | Set.nonempty_Ico_sdiff | [
148,
1
] | [
154,
22
] | [{"tactic": "cases' lt_or_le x y with h' h'", "annotated_tactic": ["cases' <a>lt_or_le</a> x y with h' h'", [{"full_name": "lt_or_le", "def_path": "Mathlib/Init/Order/Defs.lean", "def_pos": [336, 9], "def_end_pos": [336, 17]}]], "state_before": "\u03b1 : Type u_1\ninst\u271d : LinearOrderedAddCommGroup \u03b1\nx dx y d... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/UniformSpace/UniformConvergence.lean | tendstoUniformlyOnFilter_iff_tendsto | [
94,
1
] | [
97,
10
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Function/EssSup.lean | essInf_congr_ae | [
58,
1
] | [
59,
39
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Algebra/Module/Alternating.lean | ContinuousAlternatingMap.ext | [
92,
1
] | [
93,
20
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/FieldTheory/Subfield.lean | Subfield.map_bot | [
810,
1
] | [
811,
25
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Probability/Process/Stopping.lean | MeasureTheory.IsStoppingTime.measurableSet_inter_le | [
623,
1
] | [
652,
79
] | [{"tactic": "simp_rw [IsStoppingTime.measurableSet] at hs \u22a2", "annotated_tactic": ["simp_rw [<a>IsStoppingTime.measurableSet</a>] at hs \u22a2", [{"full_name": "MeasureTheory.IsStoppingTime.measurableSet", "def_path": "Mathlib/Probability/Process/Stopping.lean", "def_pos": [335, 19], "def_end_pos": [335, 32]}]], "... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/MvPolynomial/Basic.lean | MvPolynomial.eval_zero | [
1554,
1
] | [
1555,
18
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/InnerProductSpace/Orientation.lean | Orientation.abs_volumeForm_apply_of_pairwise_orthogonal | [
285,
1
] | [
305,
15
] | [{"tactic": "cases' n with n", "annotated_tactic": ["cases' n with n", []], "state_before": "E : Type u_1\ninst\u271d\u00b9 : NormedAddCommGroup E\ninst\u271d : InnerProductSpace \u211d E\nn : \u2115\n_i : Fact (finrank \u211d E = n)\no : Orientation \u211d E (Fin n)\nv : Fin n \u2192 E\nhv : Pairwise fun i j => inner ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Algebra/Prod.lean | AlgHom.coe_prod | [
82,
1
] | [
83,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Algebra/Unitization.lean | Unitization.starAlgHom_ext | [
758,
1
] | [
762,
50
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Convex/Jensen.lean | ConvexOn.exists_ge_of_centerMass | [
103,
1
] | [
115,
39
] | [{"tactic": "set y := t.centerMass w p", "annotated_tactic": ["set y := t.centerMass w p", []], "state_before": "\ud835\udd5c : Type u_1\nE : Type u_2\nF : Type u_3\n\u03b2 : Type u_4\n\u03b9 : Type u_5\ninst\u271d\u2075 : LinearOrderedField \ud835\udd5c\ninst\u271d\u2074 : AddCommGroup E\ninst\u271d\u00b3 : LinearOrde... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Hom/Lattice.lean | InfTopHom.comp_assoc | [
953,
1
] | [
955,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Basic.lean | Set.insert_inter_of_mem | [
2030,
1
] | [
2031,
48
] | [{"tactic": "rw [insert_inter_distrib, insert_eq_of_mem h]", "annotated_tactic": ["rw [<a>insert_inter_distrib</a>, <a>insert_eq_of_mem</a> h]", [{"full_name": "Set.insert_inter_distrib", "def_path": "Mathlib/Data/Set/Basic.lean", "def_pos": [1224, 9], "def_end_pos": [1224, 29]}, {"full_name": "Set.insert_eq_of_mem", "... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Multiset/Basic.lean | Multiset.coe_subset | [
388,
1
] | [
389,
10
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/PSeries.lean | Real.summable_nat_rpow_inv | [
162,
1
] | [
192,
34
] | [{"tactic": "cases' le_or_lt 0 p with hp hp", "annotated_tactic": ["cases' <a>le_or_lt</a> 0 p with hp hp", [{"full_name": "le_or_lt", "def_path": "Mathlib/Init/Order/Defs.lean", "def_pos": [340, 9], "def_end_pos": [340, 17]}]], "state_before": "p : \u211d\n\u22a2 (Summable fun n => (\u2191n ^ p)\u207b\u00b9) \u2194 1 ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Homology/ImageToKernel.lean | homology.condition | [
199,
1
] | [
200,
23
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Lattice.lean | Set.iUnion_eq_range_sigma | [
1408,
1
] | [
1409,
21
] | [{"tactic": "simp [Set.ext_iff]", "annotated_tactic": ["simp [<a>Set.ext_iff</a>]", [{"full_name": "Set.ext_iff", "def_path": "Mathlib/Data/Set/Basic.lean", "def_pos": [241, 9], "def_end_pos": [241, 16]}]], "state_before": "\u03b1 : Type u_1\n\u03b2 : Type u_2\n\u03b3 : Type u_3\n\u03b9 : Sort u_4\n\u03b9' : Sort u_5\n... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/ModelTheory/Basic.lean | FirstOrder.Language.Equiv.apply_symm_apply | [
779,
1
] | [
780,
31
] | [] |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.