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/Analysis/InnerProductSpace/Basic.lean | LinearIsometry.inner_map_map | [
1272,
1
] | [
1273,
53
] | [{"tactic": "simp [inner_eq_sum_norm_sq_div_four, \u2190 f.norm_map]", "annotated_tactic": ["simp [<a>inner_eq_sum_norm_sq_div_four</a>, \u2190 f.norm_map]", [{"full_name": "inner_eq_sum_norm_sq_div_four", "def_path": "Mathlib/Analysis/InnerProductSpace/Basic.lean", "def_pos": [1160, 9], "def_end_pos": [1160, 38]}]], "... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Regular/Basic.lean | IsRegular.ne_zero | [
255,
1
] | [
256,
18
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Monad/Algebra.lean | CategoryTheory.Comonad.Coalgebra.id_f | [
414,
1
] | [
415,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Calculus/FDeriv/Prod.lean | fderiv.snd | [
316,
1
] | [
318,
27
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Geometry/Euclidean/Angle/Oriented/Basic.lean | Orientation.cos_oangle_eq_cos_angle | [
649,
1
] | [
651,
85
] | [{"tactic": "rw [o.cos_oangle_eq_inner_div_norm_mul_norm hx hy, InnerProductGeometry.cos_angle]", "annotated_tactic": ["rw [o.cos_oangle_eq_inner_div_norm_mul_norm hx hy, <a>InnerProductGeometry.cos_angle</a>]", [{"full_name": "InnerProductGeometry.cos_angle", "def_path": "Mathlib/Geometry/Euclidean/Angle/Unoriented/Ba... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Logic/Small/Basic.lean | small_congr | [
98,
1
] | [
99,
66
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/SetTheory/Game/PGame.lean | SetTheory.PGame.lf_of_fuzzy | [
959,
1
] | [
960,
34
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Real/ENNReal.lean | ENNReal.div_lt_iff | [
1658,
11
] | [
1659,
60
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Logic/Basic.lean | Prop.exists_iff | [
872,
1
] | [
874,
88
] | [{"tactic": "simpa only [H] using h\u2082", "annotated_tactic": ["simpa only [H] using h\u2082", []], "state_before": "\u03b9 : Sort ?u.21120\n\u03b1 : Sort ?u.21125\n\u03ba : \u03b9 \u2192 Sort u_1\np\u271d q : \u03b1 \u2192 Prop\np : Prop \u2192 Prop\nx\u271d : \u2203 h, p h\nh\u2081 : Prop\nh\u2082 : p h\u2081\nH : ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Probability/Independence/Basic.lean | ProbabilityTheory.iIndepSet.indep_generateFrom_lt | [
426,
1
] | [
429,
50
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Category/Semilat.lean | SemilatInfCat_dual_comp_forget_to_partOrd | [
207,
1
] | [
210,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Complex/Basic.lean | Complex.nat_cast_re | [
792,
1
] | [
792,
85
] | [{"tactic": "rw [\u2190 ofReal_nat_cast, ofReal_re]", "annotated_tactic": ["rw [\u2190 <a>ofReal_nat_cast</a>, <a>ofReal_re</a>]", [{"full_name": "Complex.ofReal_nat_cast", "def_path": "Mathlib/Data/Complex/Basic.lean", "def_pos": [787, 9], "def_end_pos": [787, 24]}, {"full_name": "Complex.ofReal_re", "def_path": "Math... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/List/Nodup.lean | List.Nodup.sublist | [
76,
11
] | [
77,
19
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/AffineSpace/AffineMap.lean | AffineMap.coe_zero | [
266,
1
] | [
267,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/NumberTheory/ModularForms/SlashInvariantForms.lean | SlashInvariantForm.ext | [
74,
1
] | [
75,
20
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Monoidal/Category.lean | CategoryTheory.MonoidalCategory.tensorLeftTensor_inv_app | [
632,
1
] | [
633,
92
] | [{"tactic": "simp [tensorLeftTensor]", "annotated_tactic": ["simp [<a>tensorLeftTensor</a>]", [{"full_name": "CategoryTheory.MonoidalCategory.tensorLeftTensor", "def_path": "Mathlib/CategoryTheory/Monoidal/Category.lean", "def_pos": [618, 5], "def_end_pos": [618, 21]}]], "state_before": "C\u271d\u00b9 : Type u\n\ud835\... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/MonoidAlgebra/Basic.lean | AddMonoidAlgebra.domCongr_apply | [
2099,
9
] | [
2101,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/MetricSpace/IsometricSMul.lean | nndist_mul_left | [
362,
1
] | [
364,
20
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Combinatorics/Hall/Finite.lean | HallMarriageTheorem.hall_hard_inductive_step_B | [
166,
1
] | [
215,
44
] | [{"tactic": "haveI := Classical.decEq \u03b9", "annotated_tactic": ["haveI := <a>Classical.decEq</a> \u03b9", [{"full_name": "Classical.decEq", "def_path": "Mathlib/Logic/Basic.lean", "def_pos": [983, 19], "def_end_pos": [983, 24]}]], "state_before": "\u03b9 : Type u\n\u03b1 : Type v\ninst\u271d\u00b9 : DecidableEq \u0... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Ordmap/Ordset.lean | Ordnode.Bounded.mem_gt | [
971,
1
] | [
973,
100
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/Polynomial/Bernstein.lean | bernsteinPolynomial.iterate_derivative_at_0 | [
173,
1
] | [
193,
44
] | [{"tactic": "by_cases h : \u03bd \u2264 n", "annotated_tactic": ["by_cases h : \u03bd \u2264 n", []], "state_before": "R : Type u_1\ninst\u271d : CommRing R\nn \u03bd : \u2115\n\u22a2 eval 0 ((\u2191derivative)^[\u03bd] (bernsteinPolynomial R n \u03bd)) = eval (\u2191(n - (\u03bd - 1))) (ascPochhammer R \u03bd)", "stat... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Computability/TMToPartrec.lean | Turing.PartrecToTM2.tr_ret_respects | [
1647,
1
] | [
1703,
28
] | [{"tactic": "induction k generalizing v s", "annotated_tactic": ["induction k generalizing v s", []], "state_before": "k : Cont\nv : List \u2115\ns : Option \u0393'\n\u22a2 \u2203 b\u2082,\n TrCfg (stepRet k v) b\u2082 \u2227\n Reaches\u2081 (TM2.step tr) { l := some (\u039b'.ret (trCont k)), var := s, stk := e... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Integral/IntegrableOn.lean | MeasureTheory.Measure.FiniteAtFilter.integrableAtFilter | [
461,
1
] | [
470,
32
] | [{"tactic": "obtain \u27e8C, hC\u27e9 : \u2203 C, \u2200\u1da0 s in l.smallSets, \u2200 x \u2208 s, \u2016f x\u2016 \u2264 C :=\n hf.imp fun C hC => eventually_smallSets.2 \u27e8_, hC, fun t => id\u27e9", "annotated_tactic": ["obtain \u27e8C, hC\u27e9 : \u2203 C, \u2200\u1da0 s in l.smallSets, \u2200 x \u2208 s, \u201... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/Basic.lean | LinearEquiv.arrowCongr_comp | [
2236,
1
] | [
2241,
71
] | [{"tactic": "ext", "annotated_tactic": ["ext", []], "state_before": "R : Type u_1\nR\u2081 : Type u_2\nR\u2082 : Type u_3\nR\u2083 : Type u_4\nR\u2084 : Type u_5\nS : Type u_6\nK : Type u_7\nK\u2082 : Type u_8\nM : Type u_9\nM' : Type u_10\nM\u2081 : Type u_11\nM\u2082 : Type u_12\nM\u2083 : Type u_13\nM\u2084 : Type u... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Integral/IntervalIntegral.lean | intervalIntegral.tendsto_integral_filter_of_dominated_convergence | [
1011,
8
] | [
1021,
98
] | [{"tactic": "simp only [intervalIntegrable_iff, intervalIntegral_eq_integral_uIoc,\n \u2190 ae_restrict_iff' (\u03b1 := \u211d) (\u03bc := \u03bc) measurableSet_uIoc] at *", "annotated_tactic": ["simp only [<a>intervalIntegrable_iff</a>, <a>intervalIntegral_eq_integral_uIoc</a>,\n \u2190 <a>ae_restrict_iff'</a> (\u... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Order/Interval.lean | NonemptyInterval.fst_inv | [
485,
1
] | [
486,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Analysis/Filter.lean | Filter.Realizer.mem_sets | [
112,
1
] | [
113,
24
] | [{"tactic": "cases F", "annotated_tactic": ["cases F", []], "state_before": "\u03b1 : Type u_1\n\u03b2 : Type u_2\n\u03c3 : Type u_3\n\u03c4 : Type u_4\nf : Filter \u03b1\nF : Realizer f\na : Set \u03b1\n\u22a2 a \u2208 f \u2194 \u2203 b, CFilter.f F.F b \u2286 a", "state_after": "case mk\n\u03b1 : Type u_1\n\u03b2 : T... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/SetTheory/Cardinal/Ordinal.lean | Cardinal.mk_add_one_eq | [
821,
1
] | [
822,
30
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Tactic/NormNum/LegendreSymbol.lean | Mathlib.Meta.NormNum.jacobiSymNat.double_even | [
136,
1
] | [
141,
85
] | [{"tactic": "have : ((2 : \u2115) : \u2124).gcd b = 1 := by\n rw [Int.coe_nat_gcd, \u2190 Nat.mod_add_div b 2, hb, Nat.gcd_add_mul_left_right, Nat.gcd_one_right]", "annotated_tactic": ["have : ((2 : \u2115) : \u2124).<a>gcd</a> b = 1 := by\n rw [<a>Int.coe_nat_gcd</a>, \u2190 <a>Nat.mod_add_div</a> b 2, hb, <a>Nat.... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Probability/ProbabilityMassFunction/Constructions.lean | PMF.map_id | [
65,
1
] | [
66,
14
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/ContinuousOn.lean | continuousOn_snd | [
1330,
1
] | [
1331,
30
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/Dimension.lean | LinearMap.rank_le_range | [
1376,
1
] | [
1377,
22
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/AlgebraicGeometry/GammaSpecAdjunction.lean | AlgebraicGeometry.LocallyRingedSpace.isUnit_res_toΓSpecMapBasicOpen | [
126,
1
] | [
132,
8
] | [{"tactic": "convert\n (X.presheaf.map <| (eqToHom <| X.to\u0393SpecMapBasicOpen_eq r).op).isUnit_map\n (X.toRingedSpace.isUnit_res_basicOpen r)", "annotated_tactic": ["convert\n (X.presheaf.map <| (<a>eqToHom</a> <| X.to\u0393SpecMapBasicOpen_eq r).<a>op</a>).<a>isUnit_map</a>\n (X.toRingedSpace.isUnit_res... |
https://github.com/leanprover/std4 | 869c615eb10130c0637a7bc038e2b80253559913 | lake-packages/std/Std/Data/Int/Lemmas.lean | Int.ofNat_pos | [
603,
20
] | [
603,
84
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/GroupPower/Basic.lean | one_nsmul | [
79,
1
] | [
79,
82
] | [{"tactic": "rw [succ_nsmul, zero_nsmul, add_zero]", "annotated_tactic": ["rw [<a>succ_nsmul</a>, <a>zero_nsmul</a>, <a>add_zero</a>]", [{"full_name": "succ_nsmul", "def_path": "Mathlib/Algebra/Group/Defs.lean", "def_pos": [644, 15], "def_end_pos": [644, 25]}, {"full_name": "zero_nsmul", "def_path": "Mathlib/Algebra/Gr... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Computability/TMToPartrec.lean | Turing.ToPartrec.stepNormal_eval | [
718,
1
] | [
719,
22
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Computability/Reduce.lean | ManyOneDegree.ind_on | [
375,
11
] | [
377,
28
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/Ideal/Operations.lean | Ideal.IsRadical.radical_le_iff | [
964,
1
] | [
965,
62
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Filter/Extr.lean | IsMaxOn.add | [
466,
1
] | [
467,
24
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Asymptotics/Asymptotics.lean | Asymptotics.IsBigO.const_mul_right | [
1571,
1
] | [
1573,
40
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/FieldTheory/KrullTopology.lean | mem_galBasis_iff | [
148,
1
] | [
150,
10
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Order/Basic.lean | ge_mem_nhds | [
909,
1
] | [
910,
41
] | [] |
https://github.com/leanprover/std4 | 869c615eb10130c0637a7bc038e2b80253559913 | lake-packages/std/Std/Data/List/Pairwise.lean | List.pairwise_and_iff | [
65,
1
] | [
66,
81
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/GroupTheory/OrderOfElement.lean | Commute.isOfFinOrder_mul | [
425,
1
] | [
427,
99
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Deprecated/Subgroup.lean | Multiplicative.isNormalSubgroup_iff | [
203,
1
] | [
208,
48
] | [{"tactic": "rintro \u27e8h\u2081, h\u2082\u27e9", "annotated_tactic": ["rintro \u27e8h\u2081, h\u2082\u27e9", []], "state_before": "G : Type u_1\nH : Type u_2\nA : Type u_3\na a\u2081 a\u2082 b c : G\ninst\u271d : AddGroup A\ns : Set A\n\u22a2 IsNormalSubgroup s \u2192 IsNormalAddSubgroup s", "state_after": "case mk\n... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Monoidal/OfHasFiniteProducts.lean | CategoryTheory.monoidalOfHasFiniteProducts.leftUnitor_inv | [
87,
1
] | [
88,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/TensorAlgebra/Basic.lean | TensorAlgebra.ι_eq_zero_iff | [
284,
1
] | [
284,
95
] | [{"tactic": "rw [\u2190 \u03b9_inj R x 0, LinearMap.map_zero]", "annotated_tactic": ["rw [\u2190 <a>\u03b9_inj</a> R x 0, <a>LinearMap.map_zero</a>]", [{"full_name": "TensorAlgebra.\u03b9_inj", "def_path": "Mathlib/LinearAlgebra/TensorAlgebra/Basic.lean", "def_pos": [279, 9], "def_end_pos": [279, 14]}, {"full_name": "L... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/List/Cycle.lean | Cycle.chain_singleton | [
943,
1
] | [
944,
56
] | [{"tactic": "rw [chain_coe_cons, nil_append, List.chain_singleton]", "annotated_tactic": ["rw [<a>chain_coe_cons</a>, <a>nil_append</a>, <a>List.chain_singleton</a>]", [{"full_name": "Cycle.chain_coe_cons", "def_path": "Mathlib/Data/List/Cycle.lean", "def_pos": [937, 9], "def_end_pos": [937, 23]}, {"full_name": "List.n... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/FieldTheory/IntermediateField.lean | IntermediateField.copy_eq | [
138,
1
] | [
139,
27
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Function/ConditionalExpectation/AEMeasurable.lean | MeasureTheory.AEStronglyMeasurable'.mono | [
64,
1
] | [
65,
72
] | [{"tactic": "obtain \u27e8f', hf'_meas, hff'\u27e9 := hf", "annotated_tactic": ["obtain \u27e8f', hf'_meas, hff'\u27e9 := hf", []], "state_before": "\u03b1 : Type u_1\n\u03b2 : Type u_2\n\ud835\udd5c : Type u_3\nm m0 : MeasurableSpace \u03b1\n\u03bc : Measure \u03b1\ninst\u271d : TopologicalSpace \u03b2\nf g : \u03b1 \... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Finset/Lattice.lean | Finset.disjoint_sup_left | [
521,
11
] | [
522,
73
] | [{"tactic": "simp only [disjoint_iff, sup_inf_distrib_right, Finset.sup_eq_bot_iff]", "annotated_tactic": ["simp only [<a>disjoint_iff</a>, <a>sup_inf_distrib_right</a>, <a>Finset.sup_eq_bot_iff</a>]", [{"full_name": "disjoint_iff", "def_path": "Mathlib/Order/Disjoint.lean", "def_pos": [126, 9], "def_end_pos": [126, 21... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Analytic/Basic.lean | FormalMultilinearSeries.min_radius_le_radius_add | [
337,
1
] | [
344,
93
] | [{"tactic": "refine' ENNReal.le_of_forall_nnreal_lt fun r hr => _", "annotated_tactic": ["refine' <a>ENNReal.le_of_forall_nnreal_lt</a> fun r hr => _", [{"full_name": "ENNReal.le_of_forall_nnreal_lt", "def_path": "Mathlib/Data/Real/ENNReal.lean", "def_pos": [1723, 9], "def_end_pos": [1723, 31]}]], "state_before": "\ud8... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Lie/Classical.lean | LieAlgebra.Orthogonal.jd_transform | [
271,
1
] | [
276,
18
] | [{"tactic": "have h : (PD l R)\u1d40 * JD l R = Matrix.fromBlocks 1 1 1 (-1) := by\n simp [PD, JD, Matrix.fromBlocks_transpose, Matrix.fromBlocks_multiply]", "annotated_tactic": ["have h : (<a>PD</a> l R)\u1d40 * <a>JD</a> l R = <a>Matrix.fromBlocks</a> 1 1 1 (-1) := by\n simp [<a>PD</a>, <a>JD</a>, <a>Matrix.fromB... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/SetTheory/Game/PGame.lean | SetTheory.PGame.add_zero_equiv | [
1492,
1
] | [
1493,
31
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/CharP/Two.lean | CharTwo.bit1_eq_one | [
48,
1
] | [
50,
14
] | [{"tactic": "funext", "annotated_tactic": ["funext", []], "state_before": "R : Type u_1\n\u03b9 : Type u_2\ninst\u271d\u00b9 : Semiring R\ninst\u271d : CharP R 2\n\u22a2 bit1 = 1", "state_after": "case h\nR : Type u_1\n\u03b9 : Type u_2\ninst\u271d\u00b9 : Semiring R\ninst\u271d : CharP R 2\nx\u271d : R\n\u22a2 bit1 x\... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/NormedSpace/Pointwise.lean | infEdist_thickening | [
241,
1
] | [
262,
15
] | [{"tactic": "obtain hs | hs := lt_or_le (infEdist x s) (ENNReal.ofReal \u03b4)", "annotated_tactic": ["obtain hs | hs := <a>lt_or_le</a> (<a>infEdist</a> x s) (<a>ENNReal.ofReal</a> \u03b4)", [{"full_name": "lt_or_le", "def_path": "Mathlib/Init/Order/Defs.lean", "def_pos": [336, 9], "def_end_pos": [336, 17]}, {"full_na... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/List/Basic.lean | List.reverse_foldl | [
2389,
1
] | [
2390,
83
] | [{"tactic": "rw [\u2190 foldr_reverse]", "annotated_tactic": ["rw [\u2190 <a>foldr_reverse</a>]", [{"full_name": "List.foldr_reverse", "def_path": "lake-packages/std/Std/Data/List/Init/Lemmas.lean", "def_pos": [218, 17], "def_end_pos": [218, 30]}]], "state_before": "\u03b9 : Type u_1\n\u03b1 : Type u\n\u03b2 : Type v\n... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/SuccPred/Limit.lean | Order.mem_range_succ_of_not_isSuccLimit | [
135,
1
] | [
137,
18
] | [{"tactic": "cases' not_isSuccLimit_iff.1 h with b hb", "annotated_tactic": ["cases' <a>not_isSuccLimit_iff</a>.1 h with b hb", [{"full_name": "Order.not_isSuccLimit_iff", "def_path": "Mathlib/Order/SuccPred/Limit.lean", "def_pos": [126, 9], "def_end_pos": [126, 28]}]], "state_before": "\u03b1 : Type u_1\ninst\u271d\u0... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/MetricSpace/Holder.lean | HolderWith.dist_le | [
259,
1
] | [
260,
26
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Computability/Primrec.lean | Primrec.const | [
250,
1
] | [
252,
32
] | [{"tactic": "cases @decode \u03b1 _ n <;> rfl", "annotated_tactic": ["cases @<a>decode</a> \u03b1 _ n <;> rfl", [{"full_name": "Encodable.decode", "def_path": "Mathlib/Logic/Encodable/Basic.lean", "def_pos": [51, 3], "def_end_pos": [51, 9]}]], "state_before": "\u03b1 : Type u_1\n\u03b2 : Type u_2\n\u03c3 : Type u_3\nin... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Filter/CountableInter.lean | EventuallyEq.countable_iUnion | [
79,
1
] | [
82,
59
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Intervals/Monoid.lean | Set.image_add_const_Ico | [
94,
1
] | [
95,
31
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/CompleteLattice.lean | sSup_le | [
200,
1
] | [
201,
37
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/MvPolynomial/Basic.lean | MvPolynomial.eq_zero_iff | [
816,
1
] | [
818,
25
] | [{"tactic": "rw [ext_iff]", "annotated_tactic": ["rw [<a>ext_iff</a>]", [{"full_name": "MvPolynomial.ext_iff", "def_path": "Mathlib/Data/MvPolynomial/Basic.lean", "def_pos": [609, 9], "def_end_pos": [609, 16]}]], "state_before": "R : Type u\nS\u2081 : Type v\nS\u2082 : Type w\nS\u2083 : Type x\n\u03c3 : Type u_1\na a' ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/LinearPMap.lean | LinearPMap.le_of_eqLocus_ge | [
291,
1
] | [
293,
68
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/NumberTheory/Padics/PadicIntegers.lean | PadicInt.norm_le_pow_iff_norm_lt_pow_add_one | [
554,
1
] | [
556,
69
] | [{"tactic": "rw [norm_def]", "annotated_tactic": ["rw [<a>norm_def</a>]", [{"full_name": "PadicInt.norm_def", "def_path": "Mathlib/NumberTheory/Padics/PadicIntegers.lean", "def_pos": [226, 9], "def_end_pos": [226, 17]}]], "state_before": "p : \u2115\nhp : Fact (Nat.Prime p)\nx : \u2124_[p]\nn : \u2124\n\u22a2 \u2016x\u... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Calculus/Deriv/Basic.lean | derivWithin_const | [
726,
1
] | [
727,
49
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Vector/Snoc.lean | Vector.mapAccumr₂_snoc | [
157,
1
] | [
162,
58
] | [{"tactic": "induction xs, ys using Vector.inductionOn\u2082 <;> simp_all", "annotated_tactic": ["induction xs, ys using <a>Vector.inductionOn\u2082</a> <;> simp_all", [{"full_name": "Vector.inductionOn\u2082", "def_path": "Mathlib/Data/Vector/Basic.lean", "def_pos": [475, 5], "def_end_pos": [475, 17]}]], "state_before... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/SetTheory/Game/PGame.lean | SetTheory.PGame.lf_congr_imp | [
841,
1
] | [
842,
21
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Preadditive/Basic.lean | CategoryTheory.Preadditive.cokernelCoforkOfCofork_π | [
400,
1
] | [
401,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Finset/Pointwise.lean | Finset.inter_vsub_subset | [
1543,
1
] | [
1544,
27
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Intervals/Pi.lean | Set.image_mulSingle_Ioo_right | [
272,
1
] | [
274,
31
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/SetTheory/Cardinal/Divisibility.lean | Cardinal.nat_is_prime_iff | [
111,
1
] | [
133,
82
] | [{"tactic": "simp only [Prime, Nat.prime_iff]", "annotated_tactic": ["simp only [<a>Prime</a>, <a>Nat.prime_iff</a>]", [{"full_name": "Prime", "def_path": "Mathlib/Algebra/Associated.lean", "def_pos": [24, 5], "def_end_pos": [24, 10]}, {"full_name": "Nat.prime_iff", "def_path": "Mathlib/Data/Nat/Prime.lean", "def_pos":... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Monad/Algebra.lean | CategoryTheory.Monad.algebra_iso_of_iso | [
214,
1
] | [
219,
21
] | [{"tactic": "rw [IsIso.eq_comp_inv f.f, Category.assoc, \u2190 f.h]", "annotated_tactic": ["rw [<a>IsIso.eq_comp_inv</a> f.f, <a>Category.assoc</a>, \u2190 f.h]", [{"full_name": "CategoryTheory.IsIso.eq_comp_inv", "def_path": "Mathlib/CategoryTheory/Iso.lean", "def_pos": [437, 9], "def_end_pos": [437, 20]}, {"full_name... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Hom/Centroid.lean | CentroidHom.coe_int_cast | [
444,
1
] | [
445,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Convex/Segment.lean | Convex.mem_Ioo | [
570,
1
] | [
574,
6
] | [{"tactic": "rw [\u2190 openSegment_eq_Ioo h]", "annotated_tactic": ["rw [\u2190 <a>openSegment_eq_Ioo</a> h]", [{"full_name": "openSegment_eq_Ioo", "def_path": "Mathlib/Analysis/Convex/Segment.lean", "def_pos": [540, 9], "def_end_pos": [540, 27]}]], "state_before": "\ud835\udd5c : Type u_1\nE : Type u_2\nF : Type u_3\... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Init/Data/Bool/Lemmas.lean | Bool.xor_true | [
55,
1
] | [
55,
72
] | [{"tactic": "cases b <;> simp", "annotated_tactic": ["cases b <;> simp", []], "state_before": "b : Bool\n\u22a2 xor b true = !b", "state_after": "no goals"}] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Algebra/Constructions.lean | MulOpposite.map_unop_nhds | [
73,
1
] | [
74,
34
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/ReesAlgebra.lean | reesAlgebra.monomial_mem | [
76,
1
] | [
79,
20
] | [{"tactic": "simp (config := { contextual := true }) [mem_reesAlgebra_iff_support, coeff_monomial, \u2190\n imp_iff_not_or]", "annotated_tactic": ["simp (config := { contextual := <a>true</a> }) [<a>mem_reesAlgebra_iff_support</a>, <a>coeff_monomial</a>, \u2190\n <a>imp_iff_not_or</a>]", [{"full_name": "Bool.true",... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/EuclideanDomain/Basic.lean | EuclideanDomain.mod_one | [
71,
1
] | [
72,
28
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Int/Cast/Basic.lean | Int.cast_four | [
160,
1
] | [
161,
78
] | [{"tactic": "rw [cast_ofNat, Nat.cast_ofNat]", "annotated_tactic": ["rw [<a>cast_ofNat</a>, <a>Nat.cast_ofNat</a>]", [{"full_name": "Int.cast_ofNat", "def_path": "Mathlib/Data/Int/Cast/Basic.lean", "def_pos": [65, 9], "def_end_pos": [65, 19]}, {"full_name": "Nat.cast_ofNat", "def_path": "Mathlib/Data/Nat/Cast/Defs.lean... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Polynomial/Derivative.lean | Polynomial.derivative_X_add_C_sq | [
514,
1
] | [
515,
50
] | [{"tactic": "rw [derivative_sq, derivative_X_add_C, mul_one]", "annotated_tactic": ["rw [<a>derivative_sq</a>, <a>derivative_X_add_C</a>, <a>mul_one</a>]", [{"full_name": "Polynomial.derivative_sq", "def_path": "Mathlib/Data/Polynomial/Derivative.lean", "def_pos": [474, 9], "def_end_pos": [474, 22]}, {"full_name": "Pol... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Sigma.lean | Set.univ_sigma_univ | [
99,
1
] | [
100,
29
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Limits/Shapes/StrictInitial.lean | CategoryTheory.Limits.mulIsInitial_inv | [
96,
1
] | [
98,
17
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/InvariantBasisNumber.lean | card_le_of_injective | [
106,
1
] | [
112,
79
] | [{"tactic": "let P := LinearEquiv.funCongrLeft R R (Fintype.equivFin \u03b1)", "annotated_tactic": ["let P := <a>LinearEquiv.funCongrLeft</a> R R (<a>Fintype.equivFin</a> \u03b1)", [{"full_name": "LinearEquiv.funCongrLeft", "def_path": "Mathlib/LinearAlgebra/Basic.lean", "def_pos": [2559, 5], "def_end_pos": [2559, 17]}... |
https://github.com/leanprover/std4 | 869c615eb10130c0637a7bc038e2b80253559913 | lake-packages/std/Std/Data/Fin/Lemmas.lean | Fin.add_one_le_iff | [
250,
9
] | [
259,
85
] | [{"tactic": "match n with\n| 0 =>\n intro (k : Fin 1)\n exact iff_of_true (Subsingleton.elim (\u03b1 := Fin 1) (k+1) _ \u25b8 Nat.le_refl _) (fin_one_eq_zero ..)\n| n + 1 =>\n intro (k : Fin (n+2))\n rw [\u2190 add_one_lt_iff, lt_def, le_def, Nat.lt_iff_le_and_ne, and_iff_left]\n rw [val_add_one]\n split <;> simp... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/List/Basic.lean | List.getD_cons_zero | [
4285,
1
] | [
4286,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Constructions/BorelSpace/Basic.lean | AEMeasurable.coe_ereal_ennreal | [
2230,
1
] | [
2232,
52
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Quaternion.lean | Quaternion.coe_real_complex_mul | [
151,
1
] | [
151,
88
] | [{"tactic": "ext <;> simp", "annotated_tactic": ["ext <;> simp", []], "state_before": "r : \u211d\nz : \u2102\n\u22a2 \u2191(r \u2022 z) = \u2191r * \u2191z", "state_after": "no goals"}] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/SetTheory/Ordinal/Arithmetic.lean | Ordinal.IsNormal.lt_iff | [
428,
1
] | [
429,
39
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Nat/PartENat.lean | PartENat.coe_coeHom | [
231,
1
] | [
232,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/SetTheory/Ordinal/Basic.lean | Ordinal.out_nonempty_iff_ne_zero | [
283,
1
] | [
284,
61
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Bases.lean | QuotientMap.separableSpace | [
371,
1
] | [
373,
56
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Lattice.lean | Set.iUnion_nonempty_index | [
843,
1
] | [
845,
14
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Connected/PathConnected.lean | ContinuousAt.path_extend | [
255,
1
] | [
258,
33
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/GroupPower/Lemmas.lean | pow_bit1_neg_iff | [
714,
1
] | [
715,
91
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Category/Ring/Adjunctions.lean | CommRingCat.free_obj_coe | [
43,
1
] | [
44,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Intervals/Basic.lean | Set.Iic_union_Ioo_eq_Iio | [
1451,
1
] | [
1453,
29
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/GroupTheory/Perm/Fin.lean | isCycle_finRotate_of_le | [
133,
1
] | [
136,
26
] | [{"tactic": "obtain \u27e8m, rfl\u27e9 := exists_add_of_le h", "annotated_tactic": ["obtain \u27e8m, rfl\u27e9 := <a>exists_add_of_le</a> h", [{"full_name": "ExistsAddOfLE.exists_add_of_le", "def_path": "Mathlib/Algebra/Order/Monoid/Canonical/Defs.lean", "def_pos": [37, 3], "def_end_pos": [37, 19]}]], "state_before": "... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Logic/Equiv/Basic.lean | Equiv.prodCongrRight_trans_prodComm | [
805,
1
] | [
808,
7
] | [{"tactic": "ext \u27e8a, b\u27e9 : 1", "annotated_tactic": ["ext \u27e8a, b\u27e9 : 1", []], "state_before": "\u03b1\u2081 : Type u_3\n\u03b2\u2081 : Type u_2\n\u03b2\u2082 : Type u_1\ne : \u03b1\u2081 \u2192 \u03b2\u2081 \u2243 \u03b2\u2082\n\u22a2 (prodCongrRight e).trans (prodComm \u03b1\u2081 \u03b2\u2082) = (prod... |
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