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/Limits/Shapes/CommSq.lean | CategoryTheory.IsPullback.of_has_biproduct | [
563,
1
] | [
565,
47
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/FractionalIdeal.lean | FractionalIdeal.fg_unit | [
873,
1
] | [
874,
69
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Nat/Cast/Order.lean | Nat.mono_cast | [
32,
1
] | [
34,
65
] | [{"tactic": "rw [Nat.cast_succ]", "annotated_tactic": ["rw [<a>Nat.cast_succ</a>]", [{"full_name": "Nat.cast_succ", "def_path": "Mathlib/Data/Nat/Cast/Defs.lean", "def_pos": [122, 9], "def_end_pos": [122, 18]}]], "state_before": "\u03b1 : Type u_1\n\u03b2 : Type u_2\ninst\u271d\u00b3 : AddCommMonoidWithOne \u03b1\ninst... |
https://github.com/leanprover/std4 | 869c615eb10130c0637a7bc038e2b80253559913 | lake-packages/std/Std/Data/Int/Lemmas.lean | Int.negSucc_sub_one | [
341,
9
] | [
341,
76
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Abelian/Pseudoelements.lean | CategoryTheory.Abelian.Pseudoelement.pseudoApply_aux | [
168,
1
] | [
170,
81
] | [{"tactic": "rw [reassoc_of% comm]", "annotated_tactic": ["rw [reassoc_of% comm]", []], "state_before": "C : Type u\ninst\u271d\u00b9 : Category.{v, u} C\ninst\u271d : Abelian C\nP Q : C\nf : P \u27f6 Q\na b : Over P\nx\u271d : a \u2248 b\nR : C\np : R \u27f6 a.left\nq : R \u27f6 b.left\nep : Epi p\nEq : Epi q\ncomm : ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/WellFoundedSet.lean | Set.wellFoundedOn_univ | [
91,
1
] | [
92,
27
] | [{"tactic": "simp [wellFoundedOn_iff]", "annotated_tactic": ["simp [<a>wellFoundedOn_iff</a>]", [{"full_name": "Set.wellFoundedOn_iff", "def_path": "Mathlib/Order/WellFoundedSet.lean", "def_pos": [75, 9], "def_end_pos": [75, 26]}]], "state_before": "\u03b9 : Type u_1\n\u03b1 : Type u_2\n\u03b2 : Type u_3\n\u03b3 : Type... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/NumberTheory/Padics/PadicVal.lean | sub_one_mul_padicValNat_choose_eq_sub_sum_digits | [
738,
1
] | [
742,
45
] | [{"tactic": "convert @sub_one_mul_padicValNat_choose_eq_sub_sum_digits' _ _ _ _", "annotated_tactic": ["convert @<a>sub_one_mul_padicValNat_choose_eq_sub_sum_digits'</a> _ _ _ _", [{"full_name": "sub_one_mul_padicValNat_choose_eq_sub_sum_digits'", "def_path": "Mathlib/NumberTheory/Padics/PadicVal.lean", "def_pos": [721... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/Polynomial/Pochhammer.lean | descPochhammer_succ_eval | [
324,
1
] | [
327,
42
] | [{"tactic": "rw [descPochhammer_succ_right, mul_sub, eval_sub, eval_mul_X, \u2190 Nat.cast_comm, \u2190 C_eq_nat_cast,\n eval_C_mul, Nat.cast_comm, \u2190 mul_sub]", "annotated_tactic": ["rw [<a>descPochhammer_succ_right</a>, <a>mul_sub</a>, <a>eval_sub</a>, <a>eval_mul_X</a>, \u2190 <a>Nat.cast_comm</a>, \u2190 <a>C_... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/Basic.lean | Submodule.map_toAddSubmonoid' | [
576,
1
] | [
578,
28
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/UniformSpace/Basic.lean | toTopologicalSpace_inf | [
1368,
1
] | [
1370,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Finset/NAry.lean | Finset.card_dvd_card_image₂_left | [
543,
1
] | [
545,
98
] | [{"tactic": "rw [\u2190 image\u2082_swap]", "annotated_tactic": ["rw [\u2190 <a>image\u2082_swap</a>]", [{"full_name": "Finset.image\u2082_swap", "def_path": "Mathlib/Data/Finset/NAry.lean", "def_pos": [347, 9], "def_end_pos": [347, 20]}]], "state_before": "\u03b1 : Type u_1\n\u03b1' : Type u_2\n\u03b2 : Type u_3\n\u03... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Limits/Shapes/Diagonal.lean | CategoryTheory.Limits.pullbackDiagonalMapIso_inv_snd_fst | [
173,
1
] | [
176,
7
] | [{"tactic": "delta pullbackDiagonalMapIso", "annotated_tactic": ["delta <a>pullbackDiagonalMapIso</a>", [{"full_name": "CategoryTheory.Limits.pullbackDiagonalMapIso", "def_path": "Mathlib/CategoryTheory/Limits/Shapes/Diagonal.lean", "def_pos": [128, 5], "def_end_pos": [128, 27]}]], "state_before": "C : Type u_1\ninst\u... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Combinatorics/Hindman.lean | Hindman.exists_FP_of_large | [
174,
1
] | [
206,
45
] | [{"tactic": "have exists_elem : \u2200 {s : Set M} (_hs : s \u2208 U), (s \u2229 { m | \u2200\u1da0 m' in U, m * m' \u2208 s }).Nonempty :=\n fun {s} hs => Ultrafilter.nonempty_of_mem (inter_mem hs <| by rwa [\u2190 U_idem] at hs)", "annotated_tactic": ["have exists_elem : \u2200 {s : <a>Set</a> M} (_hs : s \u2208 U),... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Card.lean | Set.ncard_inter_add_ncard_union | [
836,
1
] | [
838,
55
] | [{"tactic": "rw [add_comm, ncard_union_add_ncard_inter _ _ hs ht]", "annotated_tactic": ["rw [<a>add_comm</a>, <a>ncard_union_add_ncard_inter</a> _ _ hs ht]", [{"full_name": "add_comm", "def_path": "Mathlib/Algebra/Group/Defs.lean", "def_pos": [301, 3], "def_end_pos": [301, 14]}, {"full_name": "Set.ncard_union_add_ncar... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Card.lean | Set.ncard_le_of_subset | [
508,
1
] | [
511,
24
] | [{"tactic": "rw [\u2190Nat.cast_le (\u03b1 := \u2115\u221e), ht.cast_ncard_eq, (ht.subset hst).cast_ncard_eq]", "annotated_tactic": ["rw [\u2190<a>Nat.cast_le</a> (\u03b1 := \u2115\u221e), ht.cast_ncard_eq, (ht.subset hst).<a>cast_ncard_eq</a>]", [{"full_name": "Nat.cast_le", "def_path": "Mathlib/Data/Nat/Cast/Order.le... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/NormedSpace/RieszLemma.lean | riesz_lemma | [
43,
1
] | [
72,
56
] | [{"tactic": "classical\n obtain \u27e8x, hx\u27e9 : \u2203 x : E, x \u2209 F := hF\n let d := Metric.infDist x F\n have hFn : (F : Set E).Nonempty := \u27e8_, F.zero_mem\u27e9\n have hdp : 0 < d :=\n lt_of_le_of_ne Metric.infDist_nonneg fun heq =>\n hx ((hFc.mem_iff_infDist_zero hFn).2 heq.symm)\n let r' :... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/Matrix/Circulant.lean | Matrix.circulant_single | [
171,
1
] | [
174,
49
] | [{"tactic": "ext i j", "annotated_tactic": ["ext i j", []], "state_before": "\u03b1 : Type u_1\n\u03b2 : Type u_2\nm : Type u_3\nn\u271d : Type u_4\nR : Type u_5\nn : Type u_6\ninst\u271d\u00b3 : Semiring \u03b1\ninst\u271d\u00b2 : DecidableEq n\ninst\u271d\u00b9 : AddGroup n\ninst\u271d : Fintype n\na : \u03b1\n\u22a2... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Connected/PathConnected.lean | Path.map_id | [
431,
1
] | [
433,
6
] | [{"tactic": "ext", "annotated_tactic": ["ext", []], "state_before": "X : Type u_1\nY : Type u_2\ninst\u271d\u00b9 : TopologicalSpace X\ninst\u271d : TopologicalSpace Y\nx y z : X\n\u03b9 : Type u_3\n\u03b3\u271d \u03b3 : Path x y\n\u22a2 map \u03b3 (_ : Continuous id) = \u03b3", "state_after": "case a.h\nX : Type u_1\n... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Monoidal/Types/Symmetric.lean | CategoryTheory.braiding_inv_apply | [
35,
1
] | [
37,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/SpecialFunctions/Log/Base.lean | Real.logb_div | [
69,
1
] | [
70,
41
] | [{"tactic": "simp_rw [logb, log_div hx hy, sub_div]", "annotated_tactic": ["simp_rw [<a>logb</a>, <a>log_div</a> hx hy, <a>sub_div</a>]", [{"full_name": "Real.logb", "def_path": "Mathlib/Analysis/SpecialFunctions/Log/Base.lean", "def_pos": [40, 19], "def_end_pos": [40, 23]}, {"full_name": "Real.log_div", "def_path": "M... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Invertible/Defs.lean | mul_invOf_mul_self_cancel | [
136,
1
] | [
137,
19
] | [{"tactic": "simp [mul_assoc]", "annotated_tactic": ["simp [<a>mul_assoc</a>]", [{"full_name": "mul_assoc", "def_path": "Mathlib/Algebra/Group/Defs.lean", "def_pos": [264, 9], "def_end_pos": [264, 18]}]], "state_before": "\u03b1 : Type u\ninst\u271d\u00b9 : Monoid \u03b1\na b : \u03b1\ninst\u271d : Invertible b\n\u22a2... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/SetTheory/Ordinal/Arithmetic.lean | Ordinal.blsub_le_enumOrd | [
2192,
1
] | [
2194,
31
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Geometry/Euclidean/Angle/Sphere.lean | Affine.Triangle.circumsphere_eq_of_dist_of_oangle | [
300,
1
] | [
308,
69
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Instances/ENNReal.lean | ENNReal.tsum_add | [
823,
11
] | [
824,
45
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/LocallyConstant/Basic.lean | IsLocallyConstant.desc | [
213,
1
] | [
216,
19
] | [{"tactic": "rw [\u2190 preimage_image_eq s inj, preimage_preimage]", "annotated_tactic": ["rw [\u2190 <a>preimage_image_eq</a> s inj, <a>preimage_preimage</a>]", [{"full_name": "Set.preimage_image_eq", "def_path": "Mathlib/Data/Set/Image.lean", "def_pos": [510, 9], "def_end_pos": [510, 26]}, {"full_name": "Set.preimag... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Filter/Extr.lean | IsMaxOn.comp_mono | [
343,
1
] | [
345,
30
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Constructions/Pi.lean | MeasureTheory.measurePreserving_pi_empty | [
865,
1
] | [
871,
59
] | [{"tactic": "set e := MeasurableEquiv.ofUniqueOfUnique (\u2200 i, \u03b1 i) Unit", "annotated_tactic": ["set e := <a>MeasurableEquiv.ofUniqueOfUnique</a> (\u2200 i, \u03b1 i) <a>Unit</a>", [{"full_name": "MeasurableEquiv.ofUniqueOfUnique", "def_path": "Mathlib/MeasureTheory/MeasurableSpace/Basic.lean", "def_pos": [1481... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/AlgebraicIndependent.lean | algebraicIndependent_comp_subtype | [
288,
1
] | [
295,
64
] | [{"tactic": "have : (aeval (x \u2218 (\u2191) : s \u2192 A) : _ \u2192\u2090[R] _) = (aeval x).comp (rename (\u2191)) := by ext; simp", "annotated_tactic": ["have : (<a>aeval</a> (x \u2218 (\u2191) : s \u2192 A) : _ \u2192\u2090[R] _) = (<a>aeval</a> x).<a>comp</a> (<a>rename</a> (\u2191)) := by ext; simp", [{"full_nam... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Combinatorics/SimpleGraph/Connectivity.lean | SimpleGraph.Walk.reverse_map | [
1587,
1
] | [
1587,
101
] | [{"tactic": "induction p <;> simp [map_append, *]", "annotated_tactic": ["induction p <;> simp [<a>map_append</a>, *]", [{"full_name": "SimpleGraph.Walk.map_append", "def_path": "Mathlib/Combinatorics/SimpleGraph/Connectivity.lean", "def_pos": [1582, 9], "def_end_pos": [1582, 19]}]], "state_before": "V : Type u\nV' : T... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Real/EReal.lean | EReal.coe_lt_coe_iff | [
107,
11
] | [
108,
27
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/ContinuousFunction/CocompactMap.lean | CocompactMap.ext | [
98,
1
] | [
99,
20
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/Jacobson.lean | Ideal.MvPolynomial.isJacobson_MvPolynomial_fin | [
624,
1
] | [
629,
88
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Order/Ring/Abs.lean | abs_mul_abs_self | [
49,
1
] | [
50,
62
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/Basis/Flag.lean | Basis.flag_le_iff | [
37,
1
] | [
39,
31
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Calculus/DiffContOnCl.lean | IsClosed.diffContOnCl_iff | [
44,
1
] | [
45,
83
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Minimal.lean | maximals_empty | [
53,
1
] | [
54,
14
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Order/Kleene.lean | kstar_le_of_mul_le_right | [
231,
1
] | [
232,
30
] | [{"tactic": "simpa using kstar_mul_le hb", "annotated_tactic": ["simpa using <a>kstar_mul_le</a> hb", [{"full_name": "kstar_mul_le", "def_path": "Mathlib/Algebra/Order/Kleene.lean", "def_pos": [223, 9], "def_end_pos": [223, 21]}]], "state_before": "\u03b1 : Type u_1\n\u03b2 : Type u_2\n\u03b9 : Type u_3\n\u03c0 : \u03b... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Basic.lean | Continuous.tendsto | [
1697,
1
] | [
1699,
49
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Instances/EReal.lean | EReal.nhds_top_basis | [
134,
8
] | [
137,
44
] | [{"tactic": "refine nhds_top_basis.to_hasBasis (fun x hx => ?_) fun _ _ \u21a6 \u27e8_, coe_lt_top _, Subset.rfl\u27e9", "annotated_tactic": ["refine nhds_top_basis.to_hasBasis (fun x hx => ?_) fun _ _ \u21a6 \u27e8_, <a>coe_lt_top</a> _, <a>Subset.rfl</a>\u27e9", [{"full_name": "EReal.coe_lt_top", "def_path": "Mathlib... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/NumberTheory/LegendreSymbol/JacobiSymbol.lean | jacobiSym.mod_left' | [
240,
1
] | [
241,
31
] | [{"tactic": "rw [mod_left, h, \u2190 mod_left]", "annotated_tactic": ["rw [<a>mod_left</a>, h, \u2190 <a>mod_left</a>]", [{"full_name": "jacobiSym.mod_left", "def_path": "Mathlib/NumberTheory/LegendreSymbol/JacobiSymbol.lean", "def_pos": [225, 9], "def_end_pos": [225, 17]}, {"full_name": "jacobiSym.mod_left", "def_path... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Polynomial/Degree/Definitions.lean | Polynomial.degree_cubic_le | [
1254,
1
] | [
1257,
80
] | [{"tactic": "simpa only [add_assoc] using\n degree_add_le_of_degree_le (degree_C_mul_X_pow_le 3 a)\n (le_trans degree_quadratic_le <| WithBot.coe_le_coe.mpr <| Nat.le_succ 2)", "annotated_tactic": ["simpa only [<a>add_assoc</a>] using\n <a>degree_add_le_of_degree_le</a> (<a>degree_C_mul_X_pow_le</a> 3 a)\n ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/LinearIndependent.lean | linearIndependent_empty | [
439,
1
] | [
440,
44
] | [{"tactic": "simp [linearIndependent_subtype_disjoint]", "annotated_tactic": ["simp [<a>linearIndependent_subtype_disjoint</a>]", [{"full_name": "linearIndependent_subtype_disjoint", "def_path": "Mathlib/LinearAlgebra/LinearIndependent.lean", "def_pos": [418, 9], "def_end_pos": [418, 43]}]], "state_before": "\u03b9 : T... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Probability/Kernel/Basic.lean | ProbabilityTheory.kernel.sum_apply' | [
244,
1
] | [
245,
86
] | [{"tactic": "rw [sum_apply \u03ba a, Measure.sum_apply _ hs]", "annotated_tactic": ["rw [<a>sum_apply</a> \u03ba a, <a>Measure.sum_apply</a> _ hs]", [{"full_name": "ProbabilityTheory.kernel.sum_apply", "def_path": "Mathlib/Probability/Kernel/Basic.lean", "def_pos": [239, 9], "def_end_pos": [239, 18]}, {"full_name": "Me... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/Matrix/Block.lean | Matrix.BlockTriangular.submatrix | [
60,
11
] | [
61,
70
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Filter/CountableInter.lean | EventuallyLE.countable_bUnion | [
85,
1
] | [
90,
55
] | [{"tactic": "simp only [biUnion_eq_iUnion]", "annotated_tactic": ["simp only [<a>biUnion_eq_iUnion</a>]", [{"full_name": "Set.biUnion_eq_iUnion", "def_path": "Mathlib/Data/Set/Lattice.lean", "def_pos": [1010, 9], "def_end_pos": [1010, 26]}]], "state_before": "\u03b9\u271d : Sort u_1\n\u03b1 : Type u_2\n\u03b2 : Type u_... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/LinearPMap.lean | LinearPMap.neg_graph | [
828,
1
] | [
849,
17
] | [{"tactic": "ext x", "annotated_tactic": ["ext x", []], "state_before": "R : Type u_1\ninst\u271d\u2079 : Ring R\nE : Type u_2\ninst\u271d\u2078 : AddCommGroup E\ninst\u271d\u2077 : Module R E\nF : Type u_3\ninst\u271d\u2076 : AddCommGroup F\ninst\u271d\u2075 : Module R F\nG : Type u_4\ninst\u271d\u2074 : AddCommGroup ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Combinatorics/SimpleGraph/Connectivity.lean | SimpleGraph.Path.loop_eq | [
1404,
1
] | [
1407,
14
] | [{"tactic": "obtain \u27e8_ | _, h\u27e9 := p", "annotated_tactic": ["obtain \u27e8_ | _, h\u27e9 := p", []], "state_before": "V : Type u\nV' : Type v\nV'' : Type w\nG : SimpleGraph V\nG' : SimpleGraph V'\nG'' : SimpleGraph V''\nv : V\np : Path G v v\n\u22a2 p = Path.nil", "state_after": "case mk.nil\nV : Type u\nV' : ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Limits/Shapes/Equalizers.lean | CategoryTheory.Limits.hasEqualizer_comp_mono | [
1244,
1
] | [
1247,
63
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Analytic/Basic.lean | HasFPowerSeriesOnBall.neg | [
672,
1
] | [
678,
45
] | [{"tactic": "rw [pf.radius_neg]", "annotated_tactic": ["rw [pf.radius_neg]", []], "state_before": "\ud835\udd5c : Type u_1\nE : Type u_2\nF : Type u_3\nG : Type u_4\ninst\u271d\u2076 : NontriviallyNormedField \ud835\udd5c\ninst\u271d\u2075 : NormedAddCommGroup E\ninst\u271d\u2074 : NormedSpace \ud835\udd5c E\ninst\u271... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/LaurentSeries.lean | PowerSeries.coe_zero | [
187,
1
] | [
188,
31
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Real/EReal.lean | EReal.coe_pow | [
1207,
1
] | [
1208,
55
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Int/Cast/Basic.lean | Int.cast_sub | [
122,
1
] | [
123,
72
] | [{"tactic": "simp [Int.sub_eq_add_neg, sub_eq_add_neg, Int.cast_neg, Int.cast_add]", "annotated_tactic": ["simp [<a>Int.sub_eq_add_neg</a>, <a>sub_eq_add_neg</a>, <a>Int.cast_neg</a>, <a>Int.cast_add</a>]", [{"full_name": "Int.sub_eq_add_neg", "def_path": "lake-packages/std/Std/Data/Int/Lemmas.lean", "def_pos": [94, 19... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Tropical/BigOperators.lean | Multiset.untrop_sum | [
113,
1
] | [
118,
8
] | [{"tactic": "induction' s using Multiset.induction with s x IH", "annotated_tactic": ["induction' s using <a>Multiset.induction</a> with s x IH", [{"full_name": "Multiset.induction", "def_path": "Mathlib/Data/Multiset/Basic.lean", "def_pos": [154, 19], "def_end_pos": [154, 28]}]], "state_before": "R : Type u_1\nS : Typ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Algebra/Algebra.lean | algebraMapClm_coe | [
70,
1
] | [
71,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Basic.lean | Set.ne_univ_iff_exists_not_mem | [
722,
1
] | [
723,
42
] | [{"tactic": "rw [\u2190 not_forall, \u2190 eq_univ_iff_forall]", "annotated_tactic": ["rw [\u2190 <a>not_forall</a>, \u2190 <a>eq_univ_iff_forall</a>]", [{"full_name": "Classical.not_forall", "def_path": "lake-packages/std/Std/Logic.lean", "def_pos": [686, 9], "def_end_pos": [686, 19]}, {"full_name": "Set.eq_univ_iff_f... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/Matrix/Adjugate.lean | Matrix.cramer_submatrix_equiv | [
174,
1
] | [
178,
47
] | [{"tactic": "ext i", "annotated_tactic": ["ext i", []], "state_before": "m : Type u\nn : Type v\n\u03b1 : Type w\ninst\u271d\u2074 : DecidableEq n\ninst\u271d\u00b3 : Fintype n\ninst\u271d\u00b2 : DecidableEq m\ninst\u271d\u00b9 : Fintype m\ninst\u271d : CommRing \u03b1\nA\u271d : Matrix n n \u03b1\nb\u271d : n \u2192 ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Perfect.lean | IsClosed.exists_nat_bool_injection_of_not_countable | [
318,
1
] | [
324,
31
] | [{"tactic": "letI := upgradePolishSpace \u03b1", "annotated_tactic": ["letI := <a>upgradePolishSpace</a> \u03b1", [{"full_name": "upgradePolishSpace", "def_path": "Mathlib/Topology/MetricSpace/Polish.lean", "def_pos": [96, 5], "def_end_pos": [96, 23]}]], "state_before": "\u03b1 : Type u_1\ninst\u271d\u00b9 : Topologica... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/GroupPower/Lemmas.lean | zmultiplesHom_apply | [
880,
1
] | [
881,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Real/EReal.lean | EReal.neg_le_neg_iff | [
805,
9
] | [
805,
91
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Option/Basic.lean | Option.liftOrGet_choice | [
334,
1
] | [
339,
55
] | [{"tactic": "simpa [liftOrGet] using h a b", "annotated_tactic": ["simpa [<a>liftOrGet</a>] using h a b", [{"full_name": "Option.liftOrGet", "def_path": "lake-packages/std/Std/Data/Option/Basic.lean", "def_pos": [73, 5], "def_end_pos": [73, 14]}]], "state_before": "\u03b1 : Type u_1\n\u03b2 : Type u_2\n\u03b3 : Type u_... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Convex/Cone/Pointed.lean | PointedCone.toConvexCone_pointed | [
56,
1
] | [
57,
42
] | [{"tactic": "simp [toConvexCone, ConvexCone.Pointed]", "annotated_tactic": ["simp [<a>toConvexCone</a>, <a>ConvexCone.Pointed</a>]", [{"full_name": "PointedCone.toConvexCone", "def_path": "Mathlib/Analysis/Convex/Cone/Pointed.lean", "def_pos": [44, 5], "def_end_pos": [44, 17]}, {"full_name": "ConvexCone.Pointed", "def_... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Rel.lean | Rel.image_subset_iff | [
251,
1
] | [
252,
86
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/PFilter.lean | Order.PFilter.sInf_gc | [
174,
1
] | [
178,
6
] | [{"tactic": "simp", "annotated_tactic": ["simp", []], "state_before": "P : Type u_1\ninst\u271d : CompleteSemilatticeInf P\nF\u271d : PFilter P\nx : P\nF : (PFilter P)\u1d52\u1d48\n\u22a2 (fun x => \u2191toDual (principal x)) x \u2264 F \u2194 x \u2264 (fun F => sInf \u2191(\u2191ofDual F)) F", "state_after": "P : Type... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Bounds/Basic.lean | isLUB_lt_iff | [
1060,
1
] | [
1061,
80
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Sites/Whiskering.lean | CategoryTheory.Presheaf.IsSheaf.comp | [
121,
1
] | [
128,
73
] | [{"tactic": "rw [Presheaf.isSheaf_iff_multifork] at hP \u22a2", "annotated_tactic": ["rw [<a>Presheaf.isSheaf_iff_multifork</a>] at hP \u22a2", [{"full_name": "CategoryTheory.Presheaf.isSheaf_iff_multifork", "def_path": "Mathlib/CategoryTheory/Sites/Sheaf.lean", "def_pos": [510, 9], "def_end_pos": [510, 30]}]], "state_... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Lie/Basic.lean | LieModuleHom.coe_linearMap_comp | [
869,
1
] | [
871,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Complex/Basic.lean | Complex.continuous_abs | [
173,
1
] | [
174,
18
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/GroupTheory/GroupAction/FixingSubgroup.lean | mem_fixingSubmonoid_iff | [
58,
1
] | [
60,
55
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Geometry/Euclidean/Angle/Oriented/Affine.lean | EuclideanGeometry.oangle_eq_angle_or_eq_neg_angle | [
352,
1
] | [
354,
78
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/SuccPred/Limit.lean | Order.not_isPredLimit_iff_exists_covby | [
248,
1
] | [
249,
21
] | [{"tactic": "simp [IsPredLimit]", "annotated_tactic": ["simp [<a>IsPredLimit</a>]", [{"full_name": "Order.IsPredLimit", "def_path": "Mathlib/Order/SuccPred/Limit.lean", "def_pos": [244, 5], "def_end_pos": [244, 16]}]], "state_before": "\u03b1 : Type u_1\ninst\u271d : LT \u03b1\na\u271d a : \u03b1\n\u22a2 \u00acIsPredLi... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/UniqueFactorizationDomain.lean | Associates.count_factors_eq_find_of_dvd_pow | [
1841,
1
] | [
1853,
57
] | [{"tactic": "apply le_antisymm", "annotated_tactic": ["apply <a>le_antisymm</a>", [{"full_name": "le_antisymm", "def_path": "Mathlib/Init/Order/Defs.lean", "def_pos": [188, 9], "def_end_pos": [188, 20]}]], "state_before": "\u03b1 : Type u_1\ninst\u271d\u00b2 : CancelCommMonoidWithZero \u03b1\ndec_irr : (p : Associates ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Constructions.lean | continuous_inf_dom_right₂ | [
452,
1
] | [
459,
69
] | [{"tactic": "haveI := ta2", "annotated_tactic": ["haveI := ta2", []], "state_before": "\u03b1\u271d : Type u\n\u03b2\u271d : Type v\n\u03b3\u271d : Type u_1\n\u03b4 : Type u_2\n\u03b5 : Type u_3\n\u03b6 : Type u_4\ninst\u271d\u2075 : TopologicalSpace \u03b1\u271d\ninst\u271d\u2074 : TopologicalSpace \u03b2\u271d\ninst\... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/PrimeIdeal.lean | Order.Ideal.PrimePair.compl_F_eq_I | [
62,
1
] | [
63,
31
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Algebra/Order/LeftRightLim.lean | Monotone.continuousAt_iff_leftLim_eq_rightLim | [
220,
1
] | [
234,
59
] | [{"tactic": "refine' \u27e8fun h => _, fun h => _\u27e9", "annotated_tactic": ["refine' \u27e8fun h => _, fun h => _\u27e9", []], "state_before": "\u03b1 : Type u_1\n\u03b2 : Type u_2\ninst\u271d\u2075 : LinearOrder \u03b1\ninst\u271d\u2074 : ConditionallyCompleteLinearOrder \u03b2\ninst\u271d\u00b3 : TopologicalSpace ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Combinatorics/SimpleGraph/Connectivity.lean | SimpleGraph.Walk.IsCycle.toDeleteEdges | [
1900,
11
] | [
1902,
15
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/GroupPower/Basic.lean | ofMul_zpow | [
460,
1
] | [
462,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Function/Jacobian.lean | MeasureTheory.lintegral_image_eq_lintegral_abs_det_fderiv_mul | [
1170,
1
] | [
1181,
60
] | [{"tactic": "rw [\u2190 restrict_map_withDensity_abs_det_fderiv_eq_addHaar \u03bc hs hf' hf,\n (measurableEmbedding_of_fderivWithin hs hf' hf).lintegral_map]", "annotated_tactic": ["rw [\u2190 <a>restrict_map_withDensity_abs_det_fderiv_eq_addHaar</a> \u03bc hs hf' hf,\n (<a>measurableEmbedding_of_fderivWithin</a> h... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Polynomial/Module.lean | PolynomialModule.single_apply | [
86,
1
] | [
87,
23
] | [] |
https://github.com/leanprover/std4 | 869c615eb10130c0637a7bc038e2b80253559913 | lake-packages/std/Std/Data/Rat/Lemmas.lean | Rat.divInt_sub_divInt | [
244,
1
] | [
247,
66
] | [{"tactic": "simp only [Rat.sub_eq_add_neg, neg_divInt,\n divInt_add_divInt _ _ z\u2081 z\u2082, Int.neg_mul, Int.sub_eq_add_neg]", "annotated_tactic": ["simp only [<a>Rat.sub_eq_add_neg</a>, <a>neg_divInt</a>,\n <a>divInt_add_divInt</a> _ _ z\u2081 z\u2082, <a>Int.neg_mul</a>, <a>Int.sub_eq_add_neg</a>]", [{"full_... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/RingHom/Finite.lean | RingHom.finite_respectsIso | [
28,
1
] | [
31,
64
] | [{"tactic": "apply finite_stableUnderComposition.respectsIso", "annotated_tactic": ["apply finite_stableUnderComposition.respectsIso", []], "state_before": "\u22a2 RespectsIso @Finite", "state_after": "\u22a2 \u2200 {R S : Type u_1} [inst : CommRing R] [inst_1 : CommRing S] (e : R \u2243+* S), Finite (RingEquiv.toRingH... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Algebra/Module/Basic.lean | Submodule.ker_subtypeL | [
1081,
1
] | [
1082,
26
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/ModEq.lean | AddCommGroup.add_modEq_left | [
282,
1
] | [
282,
101
] | [{"tactic": "simp [\u2190 modEq_sub_iff_add_modEq']", "annotated_tactic": ["simp [\u2190 <a>modEq_sub_iff_add_modEq'</a>]", [{"full_name": "AddCommGroup.modEq_sub_iff_add_modEq'", "def_path": "Mathlib/Algebra/ModEq.lean", "def_pos": [261, 9], "def_end_pos": [261, 33]}]], "state_before": "\u03b1 : Type u_1\ninst\u271d :... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Limits/Shapes/Pullbacks.lean | CategoryTheory.Limits.pullbackRightPullbackFstIso_inv_fst | [
2173,
1
] | [
2175,
65
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Finsupp/Basic.lean | Finsupp.comapDomain_smul_of_injective | [
1612,
1
] | [
1615,
27
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/SpecialFunctions/Trigonometric/Basic.lean | Real.sin_sub_two_pi | [
262,
1
] | [
263,
24
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/GroupTheory/Submonoid/Membership.lean | Submonoid.induction_of_closure_eq_top_left | [
427,
1
] | [
433,
12
] | [{"tactic": "rw [hs]", "annotated_tactic": ["rw [hs]", []], "state_before": "M : Type u_1\nA : Type u_2\nB : Type u_3\ninst\u271d : Monoid M\ns : Set M\np : M \u2192 Prop\nhs : closure s = \u22a4\nx : M\nH1 : p 1\nHmul : \u2200 (x : M), x \u2208 s \u2192 \u2200 (y : M), p y \u2192 p (x * y)\n\u22a2 x \u2208 closure s",... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/FiniteDimensional.lean | LinearMap.linearEquivOfInjective_apply | [
1073,
1
] | [
1076,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Finite.lean | Set.finite_def | [
70,
1
] | [
71,
35
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/NumberTheory/DiophantineApproximation.lean | Rat.den_le_and_le_num_le_of_sub_lt_one_div_den_sq | [
235,
1
] | [
261,
101
] | [{"tactic": "have hq\u2080 : (0 : \u211a) < q.den := Nat.cast_pos.mpr q.pos", "annotated_tactic": ["have hq\u2080 : (0 : \u211a) < q.den := Nat.cast_pos.mpr q.pos", []], "state_before": "\u03be q : \u211a\nh : |\u03be - q| < 1 / \u2191q.den ^ 2\n\u22a2 q.den \u2264 \u03be.den \u2227 \u2308\u03be * \u2191q.den\u2309 - 1... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Init/Data/Nat/Bitwise.lean | Nat.shiftLeft'_sub | [
295,
1
] | [
300,
32
] | [{"tactic": "rw [succ_sub_succ_eq_sub, shiftLeft', Nat.add_comm, shiftRight_add]", "annotated_tactic": ["rw [<a>succ_sub_succ_eq_sub</a>, <a>shiftLeft'</a>, <a>Nat.add_comm</a>, <a>shiftRight_add</a>]", [{"full_name": "Nat.succ_sub_succ_eq_sub", "def_path": "lake-packages/lean4/src/lean/Init/Data/Nat/Basic.lean", "def_... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Integral/SetIntegral.lean | MeasureTheory.norm_set_integral_le_of_norm_le_const' | [
580,
1
] | [
582,
79
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/AffineSpace/Combination.lean | Finset.sum_smul_const_vsub_eq_neg_weightedVSub | [
324,
1
] | [
326,
85
] | [{"tactic": "rw [sum_smul_vsub_eq_weightedVSub_sub, s.weightedVSub_apply_const _ _ h, zero_sub]", "annotated_tactic": ["rw [<a>sum_smul_vsub_eq_weightedVSub_sub</a>, s.weightedVSub_apply_const _ _ h, <a>zero_sub</a>]", [{"full_name": "Finset.sum_smul_vsub_eq_weightedVSub_sub", "def_path": "Mathlib/LinearAlgebra/AffineS... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Multiset/Sum.lean | Multiset.disjSum_strictMono_left | [
95,
1
] | [
96,
57
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/AddTorsor.lean | vsub_add_vsub_cancel | [
148,
1
] | [
150,
49
] | [{"tactic": "apply vadd_right_cancel p3", "annotated_tactic": ["apply <a>vadd_right_cancel</a> p3", [{"full_name": "vadd_right_cancel", "def_path": "Mathlib/Algebra/AddTorsor.lean", "def_pos": [100, 9], "def_end_pos": [100, 26]}]], "state_before": "G : Type u_1\nP : Type u_2\ninst\u271d : AddGroup G\nT : AddTorsor G P\... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/ULift.lean | ULift.down_surjective | [
114,
1
] | [
115,
25
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Function/LpSeminorm.lean | MeasureTheory.zero_memℒp | [
214,
1
] | [
217,
30
] | [{"tactic": "rw [snorm_zero]", "annotated_tactic": ["rw [<a>snorm_zero</a>]", [{"full_name": "MeasureTheory.snorm_zero", "def_path": "Mathlib/MeasureTheory/Function/LpSeminorm.lean", "def_pos": [201, 9], "def_end_pos": [201, 19]}]], "state_before": "\u03b1 : Type u_1\nE : Type u_2\nF : Type u_3\nG : Type u_4\nm m0 : Me... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Function.lean | Set.restrict_comp_codRestrict | [
158,
1
] | [
160,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Pointwise/Basic.lean | Set.univ_mul | [
1262,
1
] | [
1264,
81
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Init/Data/Nat/Lemmas.lean | Nat.cond_decide_mod_two | [
551,
1
] | [
555,
66
] | [{"tactic": "by_cases h : x % 2 = 1", "annotated_tactic": ["by_cases h : x % 2 = 1", []], "state_before": "x : \u2115\nd : Decidable (x % 2 = 1)\n\u22a2 (bif decide (x % 2 = 1) then 1 else 0) = x % 2", "state_after": "case pos\nx : \u2115\nd : Decidable (x % 2 = 1)\nh : x % 2 = 1\n\u22a2 (bif decide (x % 2 = 1) then 1 ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Probability/Kernel/Disintegration.lean | ProbabilityTheory.eq_condKernel_of_measure_eq_compProd | [
530,
1
] | [
592,
50
] | [{"tactic": "obtain \u27e8f, hf\u27e9 := exists_measurableEmbedding_real \u03a9", "annotated_tactic": ["obtain \u27e8f, hf\u27e9 := <a>exists_measurableEmbedding_real</a> \u03a9", [{"full_name": "MeasureTheory.exists_measurableEmbedding_real", "def_path": "Mathlib/MeasureTheory/Constructions/Polish.lean", "def_pos": [1... |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.