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/CategoryTheory/Monoidal/End.lean | CategoryTheory.endofunctorMonoidalCategory_associator_inv_app | [
67,
9
] | [
68,
36
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Basic.lean | closure_subset_preimage_closure_image | [
1804,
1
] | [
1807,
45
] | [{"tactic": "rw [\u2190 Set.image_subset_iff]", "annotated_tactic": ["rw [\u2190 <a>Set.image_subset_iff</a>]", [{"full_name": "Set.image_subset_iff", "def_path": "Mathlib/Data/Set/Image.lean", "def_pos": [497, 9], "def_end_pos": [497, 25]}]], "state_before": "\u03b1 : Type u_1\n\u03b2 : Type u_2\n\u03b3 : Type u_3\n\u... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/Localization/Integral.lean | IsFractionRing.integerNormalization_eq_zero_iff | [
132,
1
] | [
144,
34
] | [{"tactic": "refine' Polynomial.ext_iff.trans (Polynomial.ext_iff.trans _).symm", "annotated_tactic": ["refine' Polynomial.ext_iff.trans (Polynomial.ext_iff.trans _).<a>symm</a>", [{"full_name": "Iff.symm", "def_path": "lake-packages/lean4/src/lean/Init/Core.lean", "def_pos": [671, 9], "def_end_pos": [671, 17]}]], "sta... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Normed/Group/Basic.lean | MonoidHomClass.uniformContinuous_of_bound | [
863,
1
] | [
865,
62
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/List/Func.lean | List.Func.forall_val_of_forall_mem | [
215,
1
] | [
222,
13
] | [{"tactic": "intro h1 h2 n", "annotated_tactic": ["intro h1 h2 n", []], "state_before": "\u03b1 : Type u\n\u03b2 : Type v\n\u03b3 : Type w\na : \u03b1\nas\u271d as1 as2 as3 : List \u03b1\ninst\u271d\u00b9 : Inhabited \u03b1\ninst\u271d : Inhabited \u03b2\nas : List \u03b1\np : \u03b1 \u2192 Prop\n\u22a2 p default \u219... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Combinatorics/SimpleGraph/Coloring.lean | SimpleGraph.colorable_iff_exists_bdd_nat_coloring | [
223,
1
] | [
238,
24
] | [{"tactic": "constructor", "annotated_tactic": ["constructor", []], "state_before": "V : Type u\nG : SimpleGraph V\n\u03b1 : Type v\nC : Coloring G \u03b1\nn : \u2115\n\u22a2 Colorable G n \u2194 \u2203 C, \u2200 (v : V), \u2191C v < n", "state_after": "case mp\nV : Type u\nG : SimpleGraph V\n\u03b1 : Type v\nC : Color... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Multiset/Powerset.lean | Multiset.revzip_powersetAux_lemma | [
142,
1
] | [
153,
19
] | [{"tactic": "have :\n Forall\u2082 (fun (p : Multiset \u03b1 \u00d7 Multiset \u03b1) (s : Multiset \u03b1) => p = (s, \u2191l - s)) (revzip l')\n ((revzip l').map Prod.fst) := by\n rw [forall\u2082_map_right_iff, forall\u2082_same]\n rintro \u27e8s, t\u27e9 h\n dsimp\n rw [\u2190 H h, add_tsub_cancel_left]", "a... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Bounded.lean | Set.unbounded_gt_iff_unbounded_ge | [
140,
1
] | [
142,
43
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/FieldTheory/Subfield.lean | Subfield.sInf_toSubring | [
634,
1
] | [
645,
70
] | [{"tactic": "ext x", "annotated_tactic": ["ext x", []], "state_before": "K : Type u\nL : Type v\nM : Type w\ninst\u271d\u00b2 : Field K\ninst\u271d\u00b9 : Field L\ninst\u271d : Field M\ns : Set (Subfield K)\n\u22a2 (sInf s).toSubring = \u2a05 t \u2208 s, t.toSubring", "state_after": "case h\nK : Type u\nL : Type v\nM ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Real/Hyperreal.lean | Hyperreal.coe_max | [
136,
1
] | [
137,
21
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/BigOperators/Multiset/Basic.lean | Multiset.le_prod_of_mem | [
452,
1
] | [
456,
40
] | [{"tactic": "obtain \u27e8m', rfl\u27e9 := exists_cons_of_mem h", "annotated_tactic": ["obtain \u27e8m', rfl\u27e9 := <a>exists_cons_of_mem</a> h", [{"full_name": "Multiset.exists_cons_of_mem", "def_path": "Mathlib/Data/Multiset/Basic.lean", "def_pos": [253, 9], "def_end_pos": [253, 27]}]], "state_before": "\u03b9 : Ty... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/SetTheory/Surreal/Dyadic.lean | Surreal.zsmul_pow_two_powHalf | [
201,
1
] | [
206,
35
] | [{"tactic": "rw [mul_zsmul]", "annotated_tactic": ["rw [<a>mul_zsmul</a>]", [{"full_name": "mul_zsmul", "def_path": "Mathlib/Algebra/GroupPower/Lemmas.lean", "def_pos": [157, 15], "def_end_pos": [157, 24]}]], "state_before": "m : \u2124\nn k : \u2115\n\u22a2 (m * 2 ^ n) \u2022 powHalf (n + k) = m \u2022 powHalf k", "st... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Real/Irrational.lean | Irrational.of_int_sub | [
304,
1
] | [
305,
44
] | [{"tactic": "rwa [Rat.cast_coe_int]", "annotated_tactic": ["rwa [<a>Rat.cast_coe_int</a>]", [{"full_name": "Rat.cast_coe_int", "def_path": "Mathlib/Data/Rat/Cast/Defs.lean", "def_pos": [41, 9], "def_end_pos": [41, 21]}]], "state_before": "q : \u211a\nx y : \u211d\nm : \u2124\nh : Irrational (\u2191m - x)\n\u22a2 Irrati... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Limits/Types.lean | CategoryTheory.Limits.Types.colimit_eq | [
464,
1
] | [
468,
54
] | [{"tactic": "apply Quot.eq.1", "annotated_tactic": ["apply <a>Quot.eq</a>.1", [{"full_name": "Quot.eq", "def_path": "Mathlib/Data/Quot.lean", "def_pos": [293, 9], "def_end_pos": [293, 16]}]], "state_before": "J : Type v\ninst\u271d : SmallCategory J\nF : J \u2964 TypeMax\nj j' : J\nx : F.obj j\nx' : F.obj j'\nw : colim... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Vector/Mem.lean | Vector.mem_cons_self | [
57,
1
] | [
58,
67
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Star/Unitary.lean | unitary.star_mem | [
66,
1
] | [
67,
91
] | [{"tactic": "rw [star_star, mul_star_self_of_mem hU]", "annotated_tactic": ["rw [<a>star_star</a>, <a>mul_star_self_of_mem</a> hU]", [{"full_name": "star_star", "def_path": "Mathlib/Algebra/Star/Basic.lean", "def_pos": [86, 9], "def_end_pos": [86, 18]}, {"full_name": "unitary.mul_star_self_of_mem", "def_path": "Mathlib... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Lie/Submodule.lean | LieSubalgebra.mem_toLieSubmodule | [
315,
1
] | [
316,
10
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/NormedSpace/Exponential.lean | exp_op | [
126,
1
] | [
127,
88
] | [{"tactic": "simp_rw [exp, expSeries_sum_eq, \u2190 MulOpposite.op_pow, \u2190 MulOpposite.op_smul, tsum_op]", "annotated_tactic": ["simp_rw [<a>exp</a>, <a>expSeries_sum_eq</a>, \u2190 <a>MulOpposite.op_pow</a>, \u2190 <a>MulOpposite.op_smul</a>, <a>tsum_op</a>]", [{"full_name": "exp", "def_path": "Mathlib/Analysis/No... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Quaternion.lean | Quaternion.coe_smul | [
1082,
1
] | [
1083,
33
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Geometry/Manifold/ContMDiffMap.lean | ContMDiffMap.coeFn_mk | [
74,
1
] | [
76,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Complex/Exponential.lean | Real.cos_two_mul | [
1283,
8
] | [
1284,
44
] | [{"tactic": "simp [cos_two_mul]", "annotated_tactic": ["simp [<a>cos_two_mul</a>]", [{"full_name": "Complex.cos_two_mul", "def_path": "Mathlib/Data/Complex/Exponential.lean", "def_pos": [1034, 9], "def_end_pos": [1034, 20]}]], "state_before": "x y : \u211d\n\u22a2 \u2191(cos (2 * x)) = \u2191(2 * cos x ^ 2 - 1)", "stat... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/QuadraticForm/Prod.lean | QuadraticForm.polar_prod | [
158,
9
] | [
161,
7
] | [{"tactic": "dsimp [polar]", "annotated_tactic": ["dsimp [<a>polar</a>]", [{"full_name": "QuadraticForm.polar", "def_path": "Mathlib/LinearAlgebra/QuadraticForm/Basic.lean", "def_pos": [94, 5], "def_end_pos": [94, 10]}]], "state_before": "\u03b9 : Type u_1\nR : Type u_2\nM\u2081 : Type u_3\nM\u2082 : Type u_4\nN\u2081 ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Associated.lean | isUnit_of_associated_mul | [
1204,
1
] | [
1208,
29
] | [{"tactic": "cases' h with a ha", "annotated_tactic": ["cases' h with a ha", []], "state_before": "\u03b1 : Type u_1\n\u03b2 : Type u_2\n\u03b3 : Type u_3\n\u03b4 : Type u_4\ninst\u271d : CancelCommMonoidWithZero \u03b1\np b : \u03b1\nh : p * b ~\u1d64 p\nhp : p \u2260 0\n\u22a2 IsUnit b", "state_after": "case intro\n\... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Integral/Lebesgue.lean | MeasureTheory.set_lintegral_le_lintegral | [
300,
1
] | [
302,
50
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Minimal.lean | mem_minimals_iff_forall_lt_not_mem | [
151,
1
] | [
153,
46
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Probability/Martingale/Upcrossing.lean | MeasureTheory.lowerCrossingTime_lt_upperCrossingTime | [
253,
1
] | [
260,
53
] | [{"tactic": "refine' lt_of_le_of_ne lowerCrossingTime_le_upperCrossingTime_succ fun h =>\n not_le.2 hab <| le_trans (stoppedValue_upperCrossingTime hn) _", "annotated_tactic": ["refine' <a>lt_of_le_of_ne</a> <a>lowerCrossingTime_le_upperCrossingTime_succ</a> fun h =>\n <a>not_le</a>.2 hab <| <a>le_trans</a> (<a>sto... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/List/Cycle.lean | Cycle.induction_on | [
513,
1
] | [
517,
16
] | [{"tactic": "refine List.recOn l ?_ ?_ <;> simp", "annotated_tactic": ["refine <a>List.recOn</a> l ?_ ?_ <;> simp", [{"full_name": "List.recOn", "def_path": "lake-packages/lean4/src/lean/Init/Prelude.lean", "def_pos": [2182, 11], "def_end_pos": [2182, 15]}]], "state_before": "\u03b1 : Type u_1\nC : Cycle \u03b1 \u2192 ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Geometry/Euclidean/Angle/Oriented/Affine.lean | EuclideanGeometry.oangle_swap₁₂_sign | [
444,
1
] | [
450,
7
] | [{"tactic": "rw [eq_comm, oangle, oangle, \u2190 o.oangle_neg_neg, neg_vsub_eq_vsub_rev, neg_vsub_eq_vsub_rev, \u2190\n vsub_sub_vsub_cancel_left p\u2081 p\u2083 p\u2082, \u2190 neg_vsub_eq_vsub_rev p\u2083 p\u2082, sub_eq_add_neg,\n neg_vsub_eq_vsub_rev p\u2082 p\u2081, add_comm, \u2190 @neg_one_smul \u211d]", "anno... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/Valuation/Basic.lean | AddValuation.map_neg | [
787,
1
] | [
788,
24
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Filter/Partial.lean | Filter.rcomap'_rcomap' | [
165,
1
] | [
173,
57
] | [{"tactic": "simp only [mem_rcomap', Rel.preimage_comp]", "annotated_tactic": ["simp only [<a>mem_rcomap'</a>, <a>Rel.preimage_comp</a>]", [{"full_name": "Filter.mem_rcomap'", "def_path": "Mathlib/Order/Filter/Partial.lean", "def_pos": [154, 9], "def_end_pos": [154, 20]}, {"full_name": "Rel.preimage_comp", "def_path": ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Computability/PartrecCode.lean | Nat.Partrec.Code.evaln_complete | [
858,
1
] | [
924,
33
] | [{"tactic": "rsuffices \u27e8k, h\u27e9 : \u2203 k, x \u2208 evaln (k + 1) c n", "annotated_tactic": ["rsuffices \u27e8k, h\u27e9 : \u2203 k, x \u2208 <a>evaln</a> (k + 1) c n", [{"full_name": "Nat.Partrec.Code.evaln", "def_path": "Mathlib/Computability/PartrecCode.lean", "def_pos": [736, 5], "def_end_pos": [736, 10]}]... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Algebra/Module/Basic.lean | ContinuousLinearEquiv.skewProd_symm_apply | [
2348,
1
] | [
2350,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Module/Submodule/Basic.lean | Submodule.restrictScalars_inj | [
463,
1
] | [
465,
43
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Star/Subalgebra.lean | StarAlgHom.mem_equalizer | [
746,
1
] | [
747,
10
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Calculus/FDeriv/Bilinear.lean | ContinuousLinearMap.hasFDerivWithinAt_of_bilinear | [
127,
1
] | [
132,
88
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Fin/Basic.lean | Fin.succAbove_castLT | [
1417,
1
] | [
1420,
10
] | [{"tactic": "rw [succAbove_below, castSucc_castLT]", "annotated_tactic": ["rw [<a>succAbove_below</a>, <a>castSucc_castLT</a>]", [{"full_name": "Fin.succAbove_below", "def_path": "Mathlib/Data/Fin/Basic.lean", "def_pos": [1316, 9], "def_end_pos": [1316, 24]}, {"full_name": "Fin.castSucc_castLT", "def_path": "lake-packa... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/WittVector/Identities.lean | WittVector.iterate_verschiebung_mul_left | [
155,
1
] | [
159,
89
] | [{"tactic": "induction' i with i ih generalizing y", "annotated_tactic": ["induction' i with i ih generalizing y", []], "state_before": "p : \u2115\nR : Type u_1\nhp : Fact (Nat.Prime p)\ninst\u271d : CommRing R\nx y : \ud835\udd4e R\ni : \u2115\n\u22a2 (\u2191verschiebung)^[i] x * y = (\u2191verschiebung)^[i] (x * (\u... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Logic/Small/Basic.lean | small_of_injective_of_exists | [
130,
1
] | [
138,
19
] | [{"tactic": "by_cases h\u03b2 : Nonempty \u03b2", "annotated_tactic": ["by_cases h\u03b2 : <a>Nonempty</a> \u03b2", [{"full_name": "Nonempty", "def_path": "lake-packages/lean4/src/lean/Init/Prelude.lean", "def_pos": [686, 17], "def_end_pos": [686, 25]}]], "state_before": "\u03b1 : Type v\n\u03b2 : Type w\n\u03b3 : Type... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/SuccPred/Basic.lean | Order.lt_succ_iff_ne_top | [
534,
1
] | [
535,
51
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Group/Basic.lean | mul_div_mul_right_eq_div | [
751,
1
] | [
752,
93
] | [{"tactic": "rw [div_mul_eq_div_div_swap]", "annotated_tactic": ["rw [<a>div_mul_eq_div_div_swap</a>]", [{"full_name": "div_mul_eq_div_div_swap", "def_path": "Mathlib/Algebra/Group/Basic.lean", "def_pos": [459, 9], "def_end_pos": [459, 32]}]], "state_before": "\u03b1 : Type u_1\n\u03b2 : Type u_2\nG : Type u_3\ninst\u2... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/IsROrC/Basic.lean | IsROrC.div_I | [
613,
1
] | [
613,
83
] | [{"tactic": "rw [div_eq_mul_inv, inv_I, mul_neg]", "annotated_tactic": ["rw [<a>div_eq_mul_inv</a>, <a>inv_I</a>, <a>mul_neg</a>]", [{"full_name": "div_eq_mul_inv", "def_path": "Mathlib/Algebra/Group/Defs.lean", "def_pos": [977, 9], "def_end_pos": [977, 23]}, {"full_name": "IsROrC.inv_I", "def_path": "Mathlib/Data/IsRO... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/NumberTheory/Cyclotomic/Rat.lean | IsCyclotomicExtension.Rat.discr_odd_prime' | [
46,
1
] | [
49,
49
] | [{"tactic": "rw [\u2190 discr_odd_prime h\u03b6 (cyclotomic.irreducible_rat hp.out.pos) hodd]", "annotated_tactic": ["rw [\u2190 <a>discr_odd_prime</a> h\u03b6 (<a>cyclotomic.irreducible_rat</a> hp.out.pos) hodd]", [{"full_name": "IsCyclotomicExtension.discr_odd_prime", "def_path": "Mathlib/NumberTheory/Cyclotomic/Disc... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/GaloisConnection.lean | GaloisConnection.monotone_u | [
107,
1
] | [
107,
80
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Seq/WSeq.lean | Stream'.WSeq.dropn_tail | [
737,
1
] | [
740,
18
] | [{"tactic": "rw [add_comm]", "annotated_tactic": ["rw [<a>add_comm</a>]", [{"full_name": "add_comm", "def_path": "Mathlib/Algebra/Group/Defs.lean", "def_pos": [301, 3], "def_end_pos": [301, 14]}]], "state_before": "\u03b1 : Type u\n\u03b2 : Type v\n\u03b3 : Type w\ns : WSeq \u03b1\nn : \u2115\n\u22a2 drop (tail s) n = ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/GCDMonoid/Multiset.lean | Multiset.extract_gcd' | [
226,
1
] | [
231,
33
] | [{"tactic": "conv_lhs => rw [\u2190 normalize_gcd, \u2190 gcd_map_mul, \u2190 ht]", "annotated_tactic": ["conv_lhs => rw [\u2190 <a>normalize_gcd</a>, \u2190 <a>gcd_map_mul</a>, \u2190 ht]", [{"full_name": "Multiset.normalize_gcd", "def_path": "Mathlib/Algebra/GCDMonoid/Multiset.lean", "def_pos": [169, 9], "def_end_pos... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/GroupPower/Order.lean | Left.pow_le_one_of_le | [
122,
1
] | [
126,
57
] | [{"tactic": "rw [pow_succ]", "annotated_tactic": ["rw [<a>pow_succ</a>]", [{"full_name": "pow_succ", "def_path": "Mathlib/Algebra/Group/Defs.lean", "def_pos": [645, 9], "def_end_pos": [645, 17]}]], "state_before": "\u03b2 : Type u_1\nA : Type u_2\nG : Type u_3\nM : Type u_4\nR : Type u_5\ninst\u271d\u00b2 : Monoid M\ni... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Convex/Jensen.lean | ConvexOn.exists_ge_of_mem_convexHull | [
127,
1
] | [
134,
28
] | [{"tactic": "rw [_root_.convexHull_eq] at hx", "annotated_tactic": ["rw [<a>_root_.convexHull_eq</a>] at hx", [{"full_name": "convexHull_eq", "def_path": "Mathlib/Analysis/Convex/Combination.lean", "def_pos": [328, 9], "def_end_pos": [328, 22]}]], "state_before": "\ud835\udd5c : Type u_1\nE : Type u_2\nF : Type u_3\n\u... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Multiset/Nodup.lean | Multiset.le_iff_subset | [
237,
1
] | [
238,
67
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/AffineSpace/AffineSubspace.lean | AffineSubspace.bot_parallel_iff_eq_bot | [
1780,
1
] | [
1781,
46
] | [{"tactic": "rw [parallel_comm, parallel_bot_iff_eq_bot]", "annotated_tactic": ["rw [<a>parallel_comm</a>, <a>parallel_bot_iff_eq_bot</a>]", [{"full_name": "AffineSubspace.parallel_comm", "def_path": "Mathlib/LinearAlgebra/AffineSpace/AffineSubspace.lean", "def_pos": [1748, 9], "def_end_pos": [1748, 22]}, {"full_name":... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Real/Basic.lean | Real.ratCast_lt | [
396,
1
] | [
398,
17
] | [{"tactic": "erw [mk_lt]", "annotated_tactic": ["erw [<a>mk_lt</a>]", [{"full_name": "Real.mk_lt", "def_path": "Mathlib/Data/Real/Basic.lean", "def_pos": [321, 9], "def_end_pos": [321, 14]}]], "state_before": "x\u271d y\u271d : \u211d\nx y : \u211a\n\u22a2 \u2191x < \u2191y \u2194 x < y", "state_after": "x\u271d y\u271... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Fin/Basic.lean | Fin.lt_iff_val_lt_val | [
215,
1
] | [
216,
10
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/SpecificLimits/FloorPow.lean | mul_pow_le_nat_floor_pow | [
303,
1
] | [
313,
48
] | [{"tactic": "have cpos : 0 < c := zero_lt_one.trans hc", "annotated_tactic": ["have cpos : 0 < c := zero_lt_one.trans hc", []], "state_before": "c : \u211d\nhc : 1 < c\ni : \u2115\n\u22a2 (1 - c\u207b\u00b9) * c ^ i \u2264 \u2191\u230ac ^ i\u230b\u208a", "state_after": "c : \u211d\nhc : 1 < c\ni : \u2115\ncpos : 0 < c\... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Function/LpSpace.lean | MeasureTheory.Lp.memℒp_of_cauchy_tendsto | [
1646,
1
] | [
1661,
19
] | [{"tactic": "refine' \u27e8h_lim_meas, _\u27e9", "annotated_tactic": ["refine' \u27e8h_lim_meas, _\u27e9", []], "state_before": "\u03b1 : Type u_1\nE : Type u_2\nF : Type u_3\nG : Type u_4\nm m0 : MeasurableSpace \u03b1\np : \u211d\u22650\u221e\nq : \u211d\n\u03bc \u03bd : Measure \u03b1\ninst\u271d\u00b2 : NormedAddCo... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/PNat/Defs.lean | PNat.not_lt_one | [
181,
1
] | [
182,
24
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/Dual.lean | Module.dual_rank_eq | [
568,
1
] | [
570,
45
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Ring/BooleanRing.lean | toBoolRing_ofBoolRing | [
405,
1
] | [
406,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/Determinant.lean | LinearMap.det_id | [
253,
1
] | [
254,
24
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Limits/Shapes/Pullbacks.lean | CategoryTheory.Limits.hasPullbacks_of_hasLimit_cospan | [
2669,
1
] | [
2671,
68
] | [] |
https://github.com/leanprover/std4 | 869c615eb10130c0637a7bc038e2b80253559913 | lake-packages/std/Std/Data/Nat/Lemmas.lean | Nat.lt_of_add_lt_add_right | [
306,
11
] | [
307,
91
] | [{"tactic": "rwa [Nat.add_comm b a, Nat.add_comm b c]", "annotated_tactic": ["rwa [<a>Nat.add_comm</a> b a, <a>Nat.add_comm</a> b c]", [{"full_name": "Nat.add_comm", "def_path": "lake-packages/lean4/src/lean/Init/Data/Nat/Basic.lean", "def_pos": [131, 19], "def_end_pos": [131, 27]}, {"full_name": "Nat.add_comm", "def_p... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/Ideal/Operations.lean | Ideal.pow_le_pow | [
793,
1
] | [
796,
40
] | [{"tactic": "cases' Nat.exists_eq_add_of_le h with k hk", "annotated_tactic": ["cases' <a>Nat.exists_eq_add_of_le</a> h with k hk", [{"full_name": "Nat.exists_eq_add_of_le", "def_path": "Mathlib/Data/Nat/Basic.lean", "def_pos": [283, 9], "def_end_pos": [283, 28]}]], "state_before": "R : Type u\n\u03b9 : Type u_1\ninst\... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Calculus/Deriv/Add.lean | deriv_add_const' | [
113,
1
] | [
114,
36
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/LocallyConvex/WithSeminorms.lean | norm_withSeminorms | [
481,
1
] | [
499,
26
] | [{"tactic": "let p : SeminormFamily \ud835\udd5c E (Fin 1) := fun _ => normSeminorm \ud835\udd5c E", "annotated_tactic": ["let p : <a>SeminormFamily</a> \ud835\udd5c E (<a>Fin</a> 1) := fun _ => <a>normSeminorm</a> \ud835\udd5c E", [{"full_name": "SeminormFamily", "def_path": "Mathlib/Analysis/LocallyConvex/WithSeminor... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Basic.lean | IsClosed.frontier_eq | [
769,
1
] | [
770,
31
] | [{"tactic": "rw [frontier, hs.closure_eq]", "annotated_tactic": ["rw [<a>frontier</a>, hs.closure_eq]", [{"full_name": "frontier", "def_path": "Mathlib/Topology/Basic.lean", "def_pos": [703, 5], "def_end_pos": [703, 13]}]], "state_before": "\u03b1 : Type u\n\u03b2 : Type v\n\u03b9 : Sort w\na : \u03b1\ns\u271d s\u2081 ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/Subsemiring/Basic.lean | Subsemiring.coe_bot | [
647,
1
] | [
648,
33
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/QuadraticForm/Basic.lean | BilinForm.toQuadraticForm_multiset_sum | [
721,
1
] | [
723,
55
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/FieldTheory/Galois.lean | IsGalois.of_card_aut_eq_finrank | [
340,
1
] | [
352,
42
] | [{"tactic": "apply of_fixedField_eq_bot", "annotated_tactic": ["apply <a>of_fixedField_eq_bot</a>", [{"full_name": "IsGalois.of_fixedField_eq_bot", "def_path": "Mathlib/FieldTheory/Galois.lean", "def_pos": [334, 9], "def_end_pos": [334, 29]}]], "state_before": "F : Type u_1\ninst\u271d\u00b3 : Field F\nE : Type u_2\nin... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Group/Units.lean | divp_self | [
442,
1
] | [
443,
18
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Sheaves/SheafCondition/PairwiseIntersections.lean | TopCat.Sheaf.interUnionPullbackCone_fst | [
328,
1
] | [
330,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Associated.lean | associated_isUnit_mul_right_iff | [
494,
1
] | [
496,
85
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Probability/Process/Stopping.lean | MeasureTheory.IsStoppingTime.measurableSet_eq_of_countable | [
116,
11
] | [
118,
64
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/GroupTheory/Submonoid/Operations.lean | MonoidHom.submonoidMap_surjective | [
1281,
1
] | [
1284,
23
] | [{"tactic": "rintro \u27e8_, x, hx, rfl\u27e9", "annotated_tactic": ["rintro \u27e8_, x, hx, rfl\u27e9", []], "state_before": "M : Type u_1\nN : Type u_2\nP : Type u_3\ninst\u271d\u00b3 : MulOneClass M\ninst\u271d\u00b2 : MulOneClass N\ninst\u271d\u00b9 : MulOneClass P\nS : Submonoid M\nA : Type u_4\ninst\u271d : SetLi... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/DedekindDomain/Ideal.lean | Ideal.strictAnti_pow | [
725,
1
] | [
728,
91
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Order/Group/Defs.lean | Left.self_lt_inv | [
467,
1
] | [
468,
41
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/BooleanAlgebra.lean | inf_sdiff_distrib_right | [
454,
1
] | [
455,
54
] | [{"tactic": "simp_rw [@inf_comm _ _ _ c, inf_sdiff_distrib_left]", "annotated_tactic": ["simp_rw [@<a>inf_comm</a> _ _ _ c, <a>inf_sdiff_distrib_left</a>]", [{"full_name": "inf_comm", "def_path": "Mathlib/Order/Lattice.lean", "def_pos": [500, 9], "def_end_pos": [500, 17]}, {"full_name": "inf_sdiff_distrib_left", "def_p... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Order/Floor.lean | Nat.preimage_Ioi | [
409,
1
] | [
411,
22
] | [{"tactic": "ext", "annotated_tactic": ["ext", []], "state_before": "F : Type u_1\n\u03b1 : Type u_2\n\u03b2 : Type u_3\ninst\u271d\u00b9 : LinearOrderedSemiring \u03b1\ninst\u271d : FloorSemiring \u03b1\na\u271d : \u03b1\nn : \u2115\na : \u03b1\nha : 0 \u2264 a\n\u22a2 Nat.cast \u207b\u00b9' Ioi a = Ioi \u230aa\u230b\... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/GroupTheory/SemidirectProduct.lean | SemidirectProduct.one_left | [
82,
1
] | [
82,
50
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Integral/SetIntegral.lean | MeasureTheory.set_integral_nonpos_le | [
804,
1
] | [
810,
61
] | [{"tactic": "rw [\u2190 integral_indicator hs, \u2190\n integral_indicator (hf.measurableSet_le stronglyMeasurable_const)]", "annotated_tactic": ["rw [\u2190 <a>integral_indicator</a> hs, \u2190\n <a>integral_indicator</a> (hf.measurableSet_le <a>stronglyMeasurable_const</a>)]", [{"full_name": "MeasureTheory.integr... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/FieldTheory/Subfield.lean | Subfield.mem_closure_iff | [
693,
1
] | [
696,
53
] | [{"tactic": "change x \u2208 (closure s).carrier \u2194 \u2203 y \u2208 Subring.closure s, \u2203 z \u2208 Subring.closure s, y / z = x", "annotated_tactic": ["change x \u2208 (<a>closure</a> s).<a>carrier</a> \u2194 \u2203 y \u2208 <a>Subring.closure</a> s, \u2203 z \u2208 <a>Subring.closure</a> s, y / z = x", [{"full... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/SetTheory/Ordinal/Principal.lean | Ordinal.principal_add_omega_opow | [
199,
1
] | [
200,
63
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Combinatorics/Composition.lean | CompositionAsSet.blocksFun_pos | [
931,
1
] | [
934,
74
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Nat/Totient.lean | Nat.totient_eq_prod_factorization | [
283,
1
] | [
289,
59
] | [{"tactic": "rw [multiplicative_factorization \u03c6 (@totient_mul) totient_one hn]", "annotated_tactic": ["rw [<a>multiplicative_factorization</a> \u03c6 (@<a>totient_mul</a>) <a>totient_one</a> hn]", [{"full_name": "Nat.multiplicative_factorization", "def_path": "Mathlib/Data/Nat/Factorization/Basic.lean", "def_pos":... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Real/CauSeq.lean | CauSeq.neg_apply | [
319,
1
] | [
320,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Combinatorics/SetFamily/Compression/UV.lean | UV.compress_injOn | [
142,
1
] | [
151,
27
] | [{"tactic": "intro a ha b hb hab", "annotated_tactic": ["intro a ha b hb hab", []], "state_before": "\u03b1 : Type u_1\ninst\u271d\u00b3 : GeneralizedBooleanAlgebra \u03b1\ninst\u271d\u00b2 : DecidableRel Disjoint\ninst\u271d\u00b9 : DecidableRel fun x x_1 => x \u2264 x_1\ns : Finset \u03b1\nu v a b : \u03b1\ninst\u271... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/FieldTheory/SplittingField/Construction.lean | Polynomial.natDegree_removeFactor | [
96,
1
] | [
99,
38
] | [{"tactic": "rw [removeFactor, natDegree_divByMonic (map (AdjoinRoot.of f.factor) f) (monic_X_sub_C _),\n natDegree_map, natDegree_X_sub_C]", "annotated_tactic": ["rw [<a>removeFactor</a>, <a>natDegree_divByMonic</a> (<a>map</a> (<a>AdjoinRoot.of</a> f.factor) f) (<a>monic_X_sub_C</a> _),\n <a>natDegree_map</a>, <a... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Polynomial/FieldDivision.lean | Polynomial.natDegree_map | [
153,
1
] | [
155,
45
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Real/ENatENNReal.lean | ENat.toENNReal_le | [
64,
1
] | [
65,
36
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Polynomial/AlgebraMap.lean | Polynomial.aeval_subalgebra_coe | [
313,
1
] | [
315,
38
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Connected/TotallyDisconnected.lean | totallyDisconnectedSpace_iff_connectedComponent_subsingleton | [
107,
1
] | [
118,
57
] | [{"tactic": "constructor", "annotated_tactic": ["constructor", []], "state_before": "\u03b1 : Type u\n\u03b2 : Type v\n\u03b9 : Type u_1\n\u03c0 : \u03b9 \u2192 Type u_2\ninst\u271d : TopologicalSpace \u03b1\ns t u v : Set \u03b1\n\u22a2 TotallyDisconnectedSpace \u03b1 \u2194 \u2200 (x : \u03b1), Set.Subsingleton (conn... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Calculus/Inverse.lean | HasStrictFDerivAt.localInverse_tendsto | [
645,
1
] | [
647,
72
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/UniformSpace/UniformConvergence.lean | tendsto_prod_principal_iff | [
331,
1
] | [
334,
32
] | [{"tactic": "rw [tendstoUniformlyOn_iff_tendstoUniformlyOnFilter]", "annotated_tactic": ["rw [<a>tendstoUniformlyOn_iff_tendstoUniformlyOnFilter</a>]", [{"full_name": "tendstoUniformlyOn_iff_tendstoUniformlyOnFilter", "def_path": "Mathlib/Topology/UniformSpace/UniformConvergence.lean", "def_pos": [107, 9], "def_end_pos... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/PEquiv.lean | PEquiv.mem_ofSet_iff | [
221,
1
] | [
230,
12
] | [{"tactic": "dsimp [ofSet]", "annotated_tactic": ["dsimp [<a>ofSet</a>]", [{"full_name": "PEquiv.ofSet", "def_path": "Mathlib/Data/PEquiv.lean", "def_pos": [204, 5], "def_end_pos": [204, 10]}]], "state_before": "\u03b1 : Type u\n\u03b2 : Type v\n\u03b3 : Type w\n\u03b4 : Type x\ns\u271d : Set \u03b1\ninst\u271d\u00b9 :... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/NormedSpace/OperatorNorm.lean | ContinuousLinearMap.norm_smulRightL_apply | [
1896,
1
] | [
1897,
27
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/Matrix/SpecialLinearGroup.lean | Matrix.SpecialLinearGroup.coe_one | [
147,
1
] | [
148,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Function/StronglyMeasurable/Lp.lean | MeasureTheory.Memℒp.aefinStronglyMeasurable | [
58,
1
] | [
64,
38
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Distribution/SchwartzSpace.lean | SchwartzMap.delta_apply | [
1037,
1
] | [
1038,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/SpecialFunctions/Trigonometric/Angle.lean | Real.Angle.sign_eq_of_continuousOn | [
1049,
1
] | [
1053,
32
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/GroupTheory/Submonoid/Pointwise.lean | AddSubmonoid.pointwise_smul_le_pointwise_smul_iff₀ | [
461,
1
] | [
463,
35
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/MvPolynomial/WeightedHomogeneous.lean | MvPolynomial.weightedHomogeneousComponent_apply | [
342,
1
] | [
345,
70
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Sum/Basic.lean | Sum.update_inr_comp_inl | [
148,
1
] | [
150,
55
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Constructions/Pi.lean | MeasureTheory.volume_pi_pi | [
676,
1
] | [
678,
36
] | [] |
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