url stringclasses 3
values | commit stringclasses 3
values | file_path stringlengths 20 79 | full_name stringlengths 3 115 | start list | end list | traced_tactics stringlengths 2 997k |
|---|---|---|---|---|---|---|
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Nat/Pairing.lean | Nat.pair_eq_pair | [
90,
1
] | [
91,
69
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Constructions/BorelSpace/Basic.lean | measurableSet_le' | [
554,
1
] | [
555,
49
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/AffineSpace/AffineMap.lean | AffineMap.coe_neg | [
276,
1
] | [
277,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Polynomial/Basic.lean | Polynomial.card_support_eq_zero | [
425,
1
] | [
425,
69
] | [{"tactic": "simp", "annotated_tactic": ["simp", []], "state_before": "R : Type u\na b : R\nm n : \u2115\ninst\u271d : Semiring R\np q : R[X]\n\u22a2 Finset.card (support p) = 0 \u2194 p = 0", "state_after": "no goals"}] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Basic.lean | Disjoint.inter_left | [
2996,
1
] | [
2997,
15
] | [] |
https://github.com/leanprover/std4 | 869c615eb10130c0637a7bc038e2b80253559913 | lake-packages/std/Std/Logic.lean | and_and_and_comm | [
189,
1
] | [
190,
49
] | [{"tactic": "rw [\u2190 and_assoc, @and_right_comm a, and_assoc]", "annotated_tactic": ["rw [\u2190 <a>and_assoc</a>, @<a>and_right_comm</a> a, <a>and_assoc</a>]", [{"full_name": "and_assoc", "def_path": "lake-packages/std/Std/Logic.lean", "def_pos": [177, 9], "def_end_pos": [177, 18]}, {"full_name": "and_right_comm", ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/PartitionOfUnity.lean | PartitionOfUnity.exists_pos | [
159,
1
] | [
162,
85
] | [{"tactic": "have H := f.sum_eq_one hx", "annotated_tactic": ["have H := f.sum_eq_one hx", []], "state_before": "\u03b9 : Type u\nX : Type v\ninst\u271d\u2074 : TopologicalSpace X\nE : Type u_1\ninst\u271d\u00b3 : AddCommMonoid E\ninst\u271d\u00b2 : SMulWithZero \u211d E\ninst\u271d\u00b9 : TopologicalSpace E\ninst\u27... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Multiset/Bind.lean | Multiset.mem_join | [
68,
1
] | [
70,
70
] | [{"tactic": "simp", "annotated_tactic": ["simp", []], "state_before": "\u03b1 : Type u_1\n\u03b2 : Type v\n\u03b3 : Type u_2\n\u03b4 : Type u_3\na : \u03b1\nS : Multiset (Multiset \u03b1)\n\u22a2 a \u2208 join 0 \u2194 \u2203 s, s \u2208 0 \u2227 a \u2208 s", "state_after": "no goals"}, {"tactic": "simp (config := { co... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/SpecialFunctions/Trigonometric/Basic.lean | Real.pi_pos | [
163,
1
] | [
164,
41
] | [{"tactic": "norm_num", "annotated_tactic": ["norm_num", []], "state_before": "\u22a2 0 < 2", "state_after": "no goals"}] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Finset/Basic.lean | Finset.filter_union_filter_neg_eq | [
3012,
1
] | [
3014,
74
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Order/Group/Abs.lean | abs_le_abs_of_nonneg | [
123,
1
] | [
124,
55
] | [{"tactic": "rwa [abs_of_nonneg ha, abs_of_nonneg (ha.trans hab)]", "annotated_tactic": ["rwa [<a>abs_of_nonneg</a> ha, <a>abs_of_nonneg</a> (ha.trans hab)]", [{"full_name": "abs_of_nonneg", "def_path": "Mathlib/Algebra/Order/Group/Abs.lean", "def_pos": [107, 9], "def_end_pos": [107, 22]}, {"full_name": "abs_of_nonneg"... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Measure/Content.lean | MeasureTheory.Content.outerMeasure_lt_top_of_isCompact | [
308,
1
] | [
316,
24
] | [{"tactic": "rcases exists_compact_superset hK with \u27e8F, h1F, h2F\u27e9", "annotated_tactic": ["rcases <a>exists_compact_superset</a> hK with \u27e8F, h1F, h2F\u27e9", [{"full_name": "exists_compact_superset", "def_path": "Mathlib/Topology/Compactness/LocallyCompact.lean", "def_pos": [50, 9], "def_end_pos": [50, 32... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/SpecialFunctions/Trigonometric/Angle.lean | Real.Angle.angle_eq_iff_two_pi_dvd_sub | [
116,
1
] | [
122,
90
] | [{"tactic": "simp only [QuotientAddGroup.eq, AddSubgroup.zmultiples_eq_closure,\n AddSubgroup.mem_closure_singleton, zsmul_eq_mul', (sub_eq_neg_add _ _).symm, eq_comm]", "annotated_tactic": ["simp only [<a>QuotientAddGroup.eq</a>, <a>AddSubgroup.zmultiples_eq_closure</a>,\n <a>AddSubgroup.mem_closure_singleton</a>,... |
https://github.com/leanprover/std4 | 869c615eb10130c0637a7bc038e2b80253559913 | lake-packages/std/Std/Data/Int/Lemmas.lean | Int.lt_of_add_lt_add_right | [
777,
11
] | [
778,
84
] | [{"tactic": "rwa [Int.add_comm b a, Int.add_comm b c]", "annotated_tactic": ["rwa [<a>Int.add_comm</a> b a, <a>Int.add_comm</a> b c]", [{"full_name": "Int.add_comm", "def_path": "lake-packages/std/Std/Data/Int/Lemmas.lean", "def_pos": [218, 19], "def_end_pos": [218, 27]}, {"full_name": "Int.add_comm", "def_path": "lake... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Divisibility/Basic.lean | mul_dvd_mul | [
181,
1
] | [
182,
55
] | [{"tactic": "simp", "annotated_tactic": ["simp", []], "state_before": "\u03b1 : Type u_1\ninst\u271d : CommSemigroup \u03b1\na\u271d b c\u271d a c e f : \u03b1\n\u22a2 a * e * (c * f) = a * c * (e * f)", "state_after": "no goals"}] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/NumberTheory/LegendreSymbol/JacobiSymbol.lean | ZMod.nonsquare_iff_jacobiSym_eq_neg_one | [
302,
1
] | [
305,
37
] | [{"tactic": "rw [\u2190 legendreSym.to_jacobiSym]", "annotated_tactic": ["rw [\u2190 <a>legendreSym.to_jacobiSym</a>]", [{"full_name": "jacobiSym.legendreSym.to_jacobiSym", "def_path": "Mathlib/NumberTheory/LegendreSymbol/JacobiSymbol.lean", "def_pos": [111, 9], "def_end_pos": [111, 33]}]], "state_before": "a : \u2124\... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Function/ContinuousMapDense.lean | MeasureTheory.Lp.boundedContinuousFunction_dense | [
331,
1
] | [
352,
65
] | [{"tactic": "rw [AddSubgroup.eq_top_iff']", "annotated_tactic": ["rw [<a>AddSubgroup.eq_top_iff'</a>]", [{"full_name": "AddSubgroup.eq_top_iff'", "def_path": "Mathlib/GroupTheory/Subgroup/Basic.lean", "def_pos": [1092, 3], "def_end_pos": [1092, 14]}]], "state_before": "\u03b1 : Type u_1\ninst\u271d\u2077 : MeasurableSp... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Limits/Final.lean | CategoryTheory.Functor.final_iff_isIso_colimit_pre | [
453,
1
] | [
455,
100
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/Finsupp.lean | Finsupp.fst_sumFinsuppLEquivProdFinsupp | [
948,
1
] | [
950,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/UniformSpace/Equicontinuity.lean | Filter.Tendsto.uniformContinuous_of_uniformEquicontinuous | [
529,
1
] | [
533,
74
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/NumberTheory/Padics/PadicNumbers.lean | PadicSeq.val_eq_iff_norm_eq | [
233,
1
] | [
237,
47
] | [{"tactic": "rw [norm_eq_pow_val hf, norm_eq_pow_val hg, \u2190 neg_inj, zpow_inj]", "annotated_tactic": ["rw [<a>norm_eq_pow_val</a> hf, <a>norm_eq_pow_val</a> hg, \u2190 <a>neg_inj</a>, <a>zpow_inj</a>]", [{"full_name": "PadicSeq.norm_eq_pow_val", "def_path": "Mathlib/NumberTheory/Padics/PadicNumbers.lean", "def_pos"... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Tactic/Ring/Basic.lean | Mathlib.Tactic.Ring.inv_zero | [
895,
8
] | [
895,
73
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/FiniteDimensional.lean | Submodule.fg_iff_finiteDimensional | [
699,
1
] | [
700,
99
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/SupIndep.lean | Finset.SupIndep.sup | [
211,
1
] | [
216,
29
] | [{"tactic": "simp_rw [supIndep_iff_pairwiseDisjoint] at hs hg \u22a2", "annotated_tactic": ["simp_rw [<a>supIndep_iff_pairwiseDisjoint</a>] at hs hg \u22a2", [{"full_name": "Finset.supIndep_iff_pairwiseDisjoint", "def_path": "Mathlib/Order/SupIndep.lean", "def_pos": [201, 9], "def_end_pos": [201, 38]}]], "state_before"... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/UpperLower/Basic.lean | UpperSet.top_prod | [
1817,
1
] | [
1818,
17
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Function/Floor.lean | Nat.measurable_floor | [
72,
1
] | [
74,
100
] | [{"tactic": "cases' eq_or_ne \u230an\u230b\u208a 0 with h h <;> simp_all [h, Nat.preimage_floor_of_ne_zero, -floor_eq_zero]", "annotated_tactic": ["cases' <a>eq_or_ne</a> \u230an\u230b\u208a 0 with h h <;> simp_all [h, <a>Nat.preimage_floor_of_ne_zero</a>, -<a>floor_eq_zero</a>]", [{"full_name": "eq_or_ne", "def_path":... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/NumberTheory/NumberField/CanonicalEmbedding.lean | NumberField.mixedEmbedding.convexBodyLt_volume | [
343,
1
] | [
370,
101
] | [{"tactic": "simp_rw [volume_eq_prod, prod_prod, volume_pi, pi_pi, Real.volume_ball]", "annotated_tactic": ["simp_rw [<a>volume_eq_prod</a>, <a>prod_prod</a>, <a>volume_pi</a>, <a>pi_pi</a>, <a>Real.volume_ball</a>]", [{"full_name": "MeasureTheory.Measure.volume_eq_prod", "def_path": "Mathlib/MeasureTheory/Construction... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/CompleteLattice.lean | iInf_neg | [
1156,
1
] | [
1157,
53
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Combinatorics/Colex.lean | Nat.sum_two_pow_lt | [
102,
1
] | [
108,
25
] | [{"tactic": "apply lt_of_le_of_lt (sum_le_sum_of_subset fun t => mem_range.2 \u2218 h\u2081)", "annotated_tactic": ["apply <a>lt_of_le_of_lt</a> (<a>sum_le_sum_of_subset</a> fun t => <a>mem_range</a>.2 \u2218 h\u2081)", [{"full_name": "lt_of_le_of_lt", "def_path": "Mathlib/Init/Order/Defs.lean", "def_pos": [122, 9], "d... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/Pi.lean | Submodule.iSup_map_single | [
309,
1
] | [
317,
62
] | [{"tactic": "cases nonempty_fintype \u03b9", "annotated_tactic": ["cases <a>nonempty_fintype</a> \u03b9", [{"full_name": "nonempty_fintype", "def_path": "Mathlib/Data/Fintype/Card.lean", "def_pos": [442, 9], "def_end_pos": [442, 25]}]], "state_before": "R : Type u\nK : Type u'\nM : Type v\nV : Type v'\nM\u2082 : Type w... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/MvPolynomial/WeightedHomogeneous.lean | MvPolynomial.weightedHomogeneousSubmodule_mul | [
176,
1
] | [
188,
74
] | [{"tactic": "classical\nrw [Submodule.mul_le]\nintro \u03c6 h\u03c6 \u03c8 h\u03c8 c hc\nrw [coeff_mul] at hc\nobtain \u27e8\u27e8d, e\u27e9, hde, H\u27e9 := Finset.exists_ne_zero_of_sum_ne_zero hc\nhave aux : coeff d \u03c6 \u2260 0 \u2227 coeff e \u03c8 \u2260 0 := by\n contrapose! H\n by_cases h : coeff d \u03c6 =... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Calculus/ContDiffDef.lean | iteratedFDerivWithin_succ_apply_left | [
800,
1
] | [
803,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/SpecialFunctions/Trigonometric/ArctanDeriv.lean | Real.differentiableAt_tan_of_mem_Ioo | [
79,
1
] | [
81,
49
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/BigOperators/Order.lean | Finset.sum_card_le | [
327,
1
] | [
331,
62
] | [{"tactic": "simp_rw [univ_inter]", "annotated_tactic": ["simp_rw [<a>univ_inter</a>]", [{"full_name": "Finset.univ_inter", "def_path": "Mathlib/Data/Fintype/Basic.lean", "def_pos": [269, 15], "def_end_pos": [269, 25]}]], "state_before": "\u03b9 : Type u_1\n\u03b1 : Type u_2\n\u03b2 : Type u_3\nM : Type u_4\nN : Type u... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Order/Module.lean | smul_nonpos_of_nonpos_of_nonneg | [
88,
1
] | [
91,
25
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Geometry/Manifold/SmoothManifoldWithCorners.lean | modelWithCornersSelf_coe | [
384,
1
] | [
385,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Constructions/BorelSpace/Basic.lean | measurable_sSup | [
1396,
1
] | [
1403,
41
] | [{"tactic": "have : Countable \u2191s := countable_coe_iff.2 hs", "annotated_tactic": ["have : <a>Countable</a> \u2191s := <a>countable_coe_iff</a>.2 hs", [{"full_name": "Countable", "def_path": "Mathlib/Data/Countable/Defs.lean", "def_pos": [34, 7], "def_end_pos": [34, 16]}, {"full_name": "Set.countable_coe_iff", "def... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/BoxIntegral/Partition/Basic.lean | BoxIntegral.Prepartition.filter_le | [
602,
1
] | [
604,
18
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Multiset/Basic.lean | Multiset.quot_mk_to_coe' | [
48,
1
] | [
49,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/Adjoin/Basic.lean | Algebra.adjoin_singleton_one | [
289,
1
] | [
290,
92
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Constructions.lean | continuous_curry | [
504,
1
] | [
505,
30
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Normed/Group/Quotient.lean | Submodule.Quotient.norm_mk_le | [
460,
1
] | [
461,
40
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/Valuation/ValuationSubring.lean | ValuationSubring.coe_unitGroupMulEquiv_symm_apply | [
501,
1
] | [
502,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/LocallyFinite.lean | Equiv.locallyFinite_comp_iff | [
209,
1
] | [
211,
43
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/Prod.lean | Submodule.prod_le_iff | [
704,
1
] | [
722,
32
] | [{"tactic": "constructor", "annotated_tactic": ["constructor", []], "state_before": "R : Type u\nK : Type u'\nM : Type v\nV : Type v'\nM\u2082 : Type w\nV\u2082 : Type w'\nM\u2083 : Type y\nV\u2083 : Type y'\nM\u2084 : Type z\n\u03b9 : Type x\nM\u2085 : Type u_1\nM\u2086 : Type u_2\ninst\u271d\u2074 : Semiring R\ninst\... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Finset/Basic.lean | Finset.mem_disjiUnion | [
3526,
1
] | [
3527,
61
] | [{"tactic": "simp only [mem_def, disjiUnion_val, mem_bind, exists_prop]", "annotated_tactic": ["simp only [<a>mem_def</a>, <a>disjiUnion_val</a>, <a>mem_bind</a>, <a>exists_prop</a>]", [{"full_name": "Finset.mem_def", "def_path": "Mathlib/Data/Finset/Basic.lean", "def_pos": [178, 9], "def_end_pos": [178, 16]}, {"full_n... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Tactic/Ring/Basic.lean | Mathlib.Tactic.Ring.mul_zero | [
413,
1
] | [
413,
48
] | [{"tactic": "simp", "annotated_tactic": ["simp", []], "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\n\u22a2 a * 0 = 0", "state_after": "no goals"}] |
https://github.com/leanprover/std4 | 869c615eb10130c0637a7bc038e2b80253559913 | lake-packages/std/Std/Data/Int/Lemmas.lean | Int.mul_neg_of_pos_of_neg | [
1199,
11
] | [
1201,
26
] | [{"tactic": "have h : a * b < a * 0 := Int.mul_lt_mul_of_pos_left hb ha", "annotated_tactic": ["have h : a * b < a * 0 := <a>Int.mul_lt_mul_of_pos_left</a> hb ha", [{"full_name": "Int.mul_lt_mul_of_pos_left", "def_path": "lake-packages/std/Std/Data/Int/Lemmas.lean", "def_pos": [1153, 19], "def_end_pos": [1153, 41]}]], ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/EMetricSpace/Basic.lean | EMetric.closedBall_mem_nhds | [
705,
1
] | [
706,
62
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/NormedSpace/WithLp.lean | WithLp.equiv_symm_add | [
98,
1
] | [
100,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/FunLike/Basic.lean | FunLike.ext_iff | [
181,
1
] | [
182,
43
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/AffineSpace/AffineEquiv.lean | AffineEquiv.linear_toAffineMap | [
73,
1
] | [
74,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/SetTheory/Ordinal/Principal.lean | Ordinal.principal_add_of_le_one | [
120,
1
] | [
123,
28
] | [{"tactic": "rcases le_one_iff.1 ho with (rfl | rfl)", "annotated_tactic": ["rcases <a>le_one_iff</a>.1 ho with (rfl | rfl)", [{"full_name": "Ordinal.le_one_iff", "def_path": "Mathlib/SetTheory/Ordinal/Basic.lean", "def_pos": [1086, 9], "def_end_pos": [1086, 19]}]], "state_before": "o : Ordinal.{u_1}\nho : o \u2264 1\n... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/GroupTheory/FreeGroup/Basic.lean | FreeGroup.Red.cons_nil_iff_singleton | [
330,
1
] | [
339,
46
] | [{"tactic": "have h\u2081 : Red ((x, not b) :: (x, b) :: L) [(x, not b)] := cons_cons h", "annotated_tactic": ["have h\u2081 : <a>Red</a> ((x, <a>not</a> b) :: (x, b) :: L) [(x, <a>not</a> b)] := <a>cons_cons</a> h", [{"full_name": "FreeGroup.Red", "def_path": "Mathlib/GroupTheory/FreeGroup/Basic.lean", "def_pos": [86,... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/NumberTheory/DiophantineApproximation.lean | Real.convergent_zero | [
344,
1
] | [
345,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Integral/Bochner.lean | MeasureTheory.L1.integral_sub | [
709,
1
] | [
711,
32
] | [{"tactic": "simp only [integral]", "annotated_tactic": ["simp only [<a>integral</a>]", [{"full_name": "MeasureTheory.L1.integral", "def_path": "Mathlib/MeasureTheory/Integral/Bochner.lean", "def_pos": [666, 17], "def_end_pos": [666, 25]}]], "state_before": "\u03b1 : Type u_1\nE : Type u_2\nF : Type u_3\n\ud835\udd5c :... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Calculus/LHopital.lean | HasDerivAt.lhopital_zero_left_on_Ioo | [
107,
1
] | [
129,
23
] | [{"tactic": "have hdnf : \u2200 x \u2208 -Ioo a b, HasDerivAt (f \u2218 Neg.neg) (f' (-x) * -1) x := fun x hx =>\n comp x (hff' (-x) hx) (hasDerivAt_neg x)", "annotated_tactic": ["have hdnf : \u2200 x \u2208 -<a>Ioo</a> a b, <a>HasDerivAt</a> (f \u2218 <a>Neg.neg</a>) (f' (-x) * -1) x := fun x hx =>\n <a>comp</a> x... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/PrincipalIdealDomain.lean | IsPrincipalIdealRing.of_surjective | [
340,
1
] | [
342,
47
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/GroupTheory/Perm/ViaEmbedding.lean | Equiv.Perm.viaEmbeddingHom_apply | [
44,
1
] | [
45,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Normed/Group/Hom.lean | NormedAddGroupHom.mem_ker | [
742,
1
] | [
743,
53
] | [{"tactic": "erw [f.toAddMonoidHom.mem_ker, coe_toAddMonoidHom]", "annotated_tactic": ["erw [f.toAddMonoidHom.mem_ker, <a>coe_toAddMonoidHom</a>]", [{"full_name": "NormedAddGroupHom.coe_toAddMonoidHom", "def_path": "Mathlib/Analysis/Normed/Group/Hom.lean", "def_pos": [150, 9], "def_end_pos": [150, 27]}]], "state_before... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/AffineSpace/Ordered.lean | lineMap_mono_right | [
61,
1
] | [
63,
57
] | [{"tactic": "simp only [lineMap_apply_module]", "annotated_tactic": ["simp only [<a>lineMap_apply_module</a>]", [{"full_name": "AffineMap.lineMap_apply_module", "def_path": "Mathlib/LinearAlgebra/AffineSpace/AffineMap.lean", "def_pos": [522, 9], "def_end_pos": [522, 29]}]], "state_before": "k : Type u_1\nE : Type u_2\n... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/GroupTheory/Subgroup/Basic.lean | Subgroup.subgroupOf_inj | [
1693,
1
] | [
1695,
97
] | [{"tactic": "simpa only [SetLike.ext_iff, mem_inf, mem_subgroupOf, and_congr_left_iff] using Subtype.forall", "annotated_tactic": ["simpa only [<a>SetLike.ext_iff</a>, <a>mem_inf</a>, <a>mem_subgroupOf</a>, <a>and_congr_left_iff</a>] using <a>Subtype.forall</a>", [{"full_name": "SetLike.ext_iff", "def_path": "Mathlib/D... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RepresentationTheory/Rep.lean | Rep.ofModuleMonoidAlgebra_obj_ρ | [
613,
1
] | [
615,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Measure/OuterMeasure.lean | MeasureTheory.OuterMeasure.le_ofFunction | [
712,
1
] | [
717,
92
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Order/Chebyshev.lean | Monovary.sum_mul_sum_le_card_mul_sum | [
136,
1
] | [
138,
49
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/ModelTheory/Substructures.lean | FirstOrder.Language.Substructure.comap_le_comap_iff_of_surjective | [
647,
1
] | [
648,
29
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Limits/HasLimits.lean | CategoryTheory.Limits.limit.isLimit_lift | [
186,
1
] | [
188,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Associated.lean | Associated.dvd_dvd | [
546,
11
] | [
547,
22
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/NormedSpace/Exponential.lean | exp_add | [
627,
1
] | [
629,
60
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Lattice.lean | Set.iUnion_of_singleton | [
1446,
1
] | [
1446,
93
] | [{"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\u271d : Type u_1\n\u03b2 : Type u_2\n\u03b3 : Type u_3\n\u03b9 : Sort u_4\n\u03b9' : Sort... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Algebra/Module/Multilinear.lean | ContinuousMultilinearMap.toMultilinearMap_zero | [
150,
1
] | [
151,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Sum/Basic.lean | Function.Surjective.sum_map | [
245,
1
] | [
252,
30
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Vector/MapLemmas.lean | Vector.mapAccumr₂_mapAccumr_left | [
60,
1
] | [
68,
80
] | [{"tactic": "induction xs, ys using Vector.revInductionOn\u2082 generalizing s\u2081 s\u2082 <;> simp_all", "annotated_tactic": ["induction xs, ys using <a>Vector.revInductionOn\u2082</a> generalizing s\u2081 s\u2082 <;> simp_all", [{"full_name": "Vector.revInductionOn\u2082", "def_path": "Mathlib/Data/Vector/Snoc.lean... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/GroupTheory/Subgroup/Finite.lean | Subgroup.card_top | [
129,
1
] | [
131,
49
] | [{"tactic": "rw [Fintype.card_eq]", "annotated_tactic": ["rw [<a>Fintype.card_eq</a>]", [{"full_name": "Fintype.card_eq", "def_path": "Mathlib/Data/Fintype/Card.lean", "def_pos": [205, 9], "def_end_pos": [205, 16]}]], "state_before": "G : Type u_1\ninst\u271d\u00b2 : Group G\nA : Type u_2\ninst\u271d\u00b9 : AddGroup A... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/SetTheory/Cardinal/Basic.lean | Cardinal.mk_option | [
450,
1
] | [
451,
99
] | [{"tactic": "rw [(Equiv.optionEquivSumPUnit.{u, u} \u03b1).cardinal_eq, mk_sum, mk_eq_one PUnit, lift_id, lift_id]", "annotated_tactic": ["rw [(<a>Equiv.optionEquivSumPUnit</a>.{u, u} \u03b1).<a>cardinal_eq</a>, <a>mk_sum</a>, <a>mk_eq_one</a> <a>PUnit</a>, <a>lift_id</a>, <a>lift_id</a>]", [{"full_name": "Equiv.option... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/InnerProductSpace/Orthogonal.lean | Submodule.isOrtho_iSup_left | [
363,
1
] | [
365,
14
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/Quotient.lean | Submodule.Quotient.mk_surjective | [
258,
1
] | [
260,
17
] | [{"tactic": "rintro \u27e8x\u27e9", "annotated_tactic": ["rintro \u27e8x\u27e9", []], "state_before": "R : Type u_1\nM : Type u_2\nr : R\nx y : M\ninst\u271d\u00b2 : Ring R\ninst\u271d\u00b9 : AddCommGroup M\ninst\u271d : Module R M\np p' : Submodule R M\n\u22a2 Function.Surjective mk", "state_after": "case mk\nR : Typ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Probability/Kernel/CondCdf.lean | ProbabilityTheory.inf_gt_preCdf | [
511,
1
] | [
517,
76
] | [{"tactic": "rw [ae_all_iff]", "annotated_tactic": ["rw [<a>ae_all_iff</a>]", [{"full_name": "MeasureTheory.ae_all_iff", "def_path": "Mathlib/MeasureTheory/Measure/MeasureSpaceDef.lean", "def_pos": [422, 9], "def_end_pos": [422, 19]}]], "state_before": "\u03b1 : Type u_1\n\u03b2 : Type u_2\n\u03b9 : Type u_3\nm\u03b1 :... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Combinatorics/Quiver/Path.lean | Quiver.Path.toList_inj | [
195,
1
] | [
196,
32
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/Valuation/ValuationSubring.lean | ValuationSubring.mem_nonunits_iff_exists_mem_maximalIdeal | [
607,
1
] | [
610,
32
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Real/EReal.lean | EReal.zero_mul | [
232,
11
] | [
235,
51
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Int/Order/Basic.lean | Int.coe_nat_eq_zero | [
75,
1
] | [
76,
19
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/BooleanAlgebra.lean | compl_surjective | [
651,
1
] | [
652,
30
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/BoxIntegral/Basic.lean | BoxIntegral.HasIntegral.add | [
261,
8
] | [
263,
61
] | [{"tactic": "simpa only [HasIntegral, \u2190 integralSum_add] using h.add h'", "annotated_tactic": ["simpa only [<a>HasIntegral</a>, \u2190 <a>integralSum_add</a>] using h.add h'", [{"full_name": "BoxIntegral.HasIntegral", "def_path": "Mathlib/Analysis/BoxIntegral/Basic.lean", "def_pos": [163, 5], "def_end_pos": [163, ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Constructions/Prod/Integral.lean | MeasureTheory.lintegral_fn_integral_sub | [
379,
1
] | [
385,
30
] | [{"tactic": "refine' lintegral_congr_ae _", "annotated_tactic": ["refine' <a>lintegral_congr_ae</a> _", [{"full_name": "MeasureTheory.lintegral_congr_ae", "def_path": "Mathlib/MeasureTheory/Integral/Lebesgue.lean", "def_pos": [304, 9], "def_end_pos": [304, 27]}]], "state_before": "\u03b1 : Type u_1\n\u03b1' : Type u_2\... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/LinearIndependent.lean | LinearIndependent.units_smul | [
562,
1
] | [
573,
8
] | [{"tactic": "rw [linearIndependent_iff''] at hv \u22a2", "annotated_tactic": ["rw [<a>linearIndependent_iff''</a>] at hv \u22a2", [{"full_name": "linearIndependent_iff''", "def_path": "Mathlib/LinearAlgebra/LinearIndependent.lean", "def_pos": [132, 9], "def_end_pos": [132, 32]}]], "state_before": "\u03b9 : Type u'\n\u0... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Iso.lean | CategoryTheory.IsIso.inv_comp_eq | [
422,
1
] | [
423,
24
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Closure.lean | ClosureOperator.closure_iSup_closure | [
278,
1
] | [
280,
52
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Finset/Basic.lean | Finset.nonempty_iff_eq_singleton_default | [
756,
1
] | [
757,
49
] | [{"tactic": "simp [eq_singleton_iff_nonempty_unique_mem]", "annotated_tactic": ["simp [<a>eq_singleton_iff_nonempty_unique_mem</a>]", [{"full_name": "Finset.eq_singleton_iff_nonempty_unique_mem", "def_path": "Mathlib/Data/Finset/Basic.lean", "def_pos": [744, 9], "def_end_pos": [744, 45]}]], "state_before": "\u03b1 : Ty... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Num/Lemmas.lean | PosNum.sub'_one | [
817,
1
] | [
817,
82
] | [{"tactic": "cases a <;> rfl", "annotated_tactic": ["cases a <;> rfl", []], "state_before": "a : PosNum\n\u22a2 sub' a 1 = toZNum (pred' a)", "state_after": "no goals"}] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/GroupTheory/Coset.lean | mem_own_leftCoset | [
168,
1
] | [
170,
38
] | [{"tactic": "simpa", "annotated_tactic": ["simpa", []], "state_before": "\u03b1 : Type u_1\ninst\u271d : Monoid \u03b1\ns : Submonoid \u03b1\na : \u03b1\nthis : a * 1 \u2208 a *l \u2191s\n\u22a2 a \u2208 a *l \u2191s", "state_after": "no goals"}] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Filter/Basic.lean | Filter.Tendsto.congr' | [
3009,
1
] | [
3011,
26
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/UpperLower/Basic.lean | UpperSet.carrier_eq_coe | [
473,
1
] | [
474,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/SpecialFunctions/Trigonometric/Deriv.lean | deriv_ccos | [
196,
1
] | [
198,
27
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Rat/Lemmas.lean | Rat.coe_int_div_self | [
232,
1
] | [
237,
85
] | [{"tactic": "by_cases hn : n = 0", "annotated_tactic": ["by_cases hn : n = 0", []], "state_before": "n : \u2124\n\u22a2 \u2191(n / n) = \u2191n / \u2191n", "state_after": "case pos\nn : \u2124\nhn : n = 0\n\u22a2 \u2191(n / n) = \u2191n / \u2191n\n\ncase neg\nn : \u2124\nhn : \u00acn = 0\n\u22a2 \u2191(n / n) = \u2191n... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Basic.lean | isOpen_biUnion | [
151,
1
] | [
153,
56
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/NormedSpace/LpEquiv.lean | coe_ringEquiv_lpBcf_symm | [
201,
1
] | [
202,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Finset/LocallyFinite.lean | Finset.left_mem_Icc | [
133,
1
] | [
133,
91
] | [{"tactic": "simp only [mem_Icc, true_and_iff, le_rfl]", "annotated_tactic": ["simp only [<a>mem_Icc</a>, <a>true_and_iff</a>, <a>le_rfl</a>]", [{"full_name": "Finset.mem_Icc", "def_path": "Mathlib/Order/LocallyFinite.lean", "def_pos": [326, 9], "def_end_pos": [326, 16]}, {"full_name": "true_and_iff", "def_path": "Math... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Integral/CircleIntegral.lean | measurable_circleMap | [
190,
1
] | [
191,
40
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/NormedSpace/lpSpace.lean | nat_cast_memℓp_infty | [
893,
1
] | [
894,
35
] | [] |
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