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/Topology/Algebra/Valuation.lean | Valued.cauchy_iff | [
159,
1
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168,
14
] | [{"tactic": "rw [toUniformSpace_eq, AddGroupFilterBasis.cauchy_iff]", "annotated_tactic": ["rw [<a>toUniformSpace_eq</a>, <a>AddGroupFilterBasis.cauchy_iff</a>]", [{"full_name": "Valued.toUniformSpace_eq", "def_path": "Mathlib/Topology/Algebra/Valuation.lean", "def_pos": [130, 9], "def_end_pos": [130, 26]}, {"full_name... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Dynamics/Circle/RotationNumber/TranslationNumber.lean | CircleDeg1Lift.translationNumber_eq_of_dist_bounded | [
702,
1
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705,
58
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Limits/Shapes/Terminal.lean | CategoryTheory.Limits.ι_colimitConstInitial_hom | [
499,
1
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502,
35
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Group/MeasurableEquiv.lean | MeasurableEquiv.symm_mulRight | [
153,
1
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154,
10
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Decomposition/Lebesgue.lean | MeasureTheory.Measure.LebesgueDecomposition.iSup_monotone' | [
527,
1
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528,
87
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Num/Lemmas.lean | Num.of_nat_cast | [
494,
1
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495,
32
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Matrix/Basic.lean | Matrix.transpose_inj | [
1969,
9
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1969,
99
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/Adjoin/PowerBasis.lean | PowerBasis.repr_pow_isIntegral | [
150,
1
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167,
82
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Finset/Pointwise.lean | Finset.inter_mul_union_subset | [
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1
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765,
37
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Algebra/Module/Basic.lean | ContinuousLinearMap.proj_pi | [
1324,
1
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1325,
20
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Real/ENNReal.lean | ENNReal.ofReal_le_ofReal | [
2135,
1
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2136,
53
] | [{"tactic": "simp [ENNReal.ofReal, Real.toNNReal_le_toNNReal h]", "annotated_tactic": ["simp [<a>ENNReal.ofReal</a>, <a>Real.toNNReal_le_toNNReal</a> h]", [{"full_name": "ENNReal.ofReal", "def_path": "Mathlib/Data/Real/ENNReal.lean", "def_pos": [172, 29], "def_end_pos": [172, 35]}, {"full_name": "Real.toNNReal_le_toNNR... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Limits/Shapes/Biproducts.lean | CategoryTheory.Limits.BinaryBicone.binary_fan_fst_toCone | [
1183,
1
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1183,
93
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Intervals/Basic.lean | Set.Ioc_diff_Iic | [
1858,
1
] | [
1859,
53
] | [{"tactic": "rw [diff_eq, compl_Iic, Ioc_inter_Ioi, sup_eq_max]", "annotated_tactic": ["rw [<a>diff_eq</a>, <a>compl_Iic</a>, <a>Ioc_inter_Ioi</a>, <a>sup_eq_max</a>]", [{"full_name": "Set.diff_eq", "def_path": "Mathlib/Data/Set/Basic.lean", "def_pos": [1814, 9], "def_end_pos": [1814, 16]}, {"full_name": "Set.compl_Iic... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/List/MinMax.lean | List.argmin_eq_some_iff | [
258,
1
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261,
17
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/BigOperators/Ring.lean | Finset.sum_mul_boole | [
78,
1
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79,
71
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Quot.lean | Quotient.forall | [
302,
1
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304,
37
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https://github.com/leanprover/std4 | 869c615eb10130c0637a7bc038e2b80253559913 | lake-packages/std/Std/Logic.lean | not_imp_of_and_not | [
307,
1
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308,
30
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/FinitePresentation.lean | AlgHom.FinitePresentation.of_finiteType | [
524,
1
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525,
43
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Calculus/ContDiff.lean | ContinuousLinearEquiv.contDiff_comp_iff | [
495,
1
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498,
30
] | [{"tactic": "rw [\u2190 contDiffOn_univ, \u2190 contDiffOn_univ, \u2190 preimage_univ]", "annotated_tactic": ["rw [\u2190 <a>contDiffOn_univ</a>, \u2190 <a>contDiffOn_univ</a>, \u2190 <a>preimage_univ</a>]", [{"full_name": "contDiffOn_univ", "def_path": "Mathlib/Analysis/Calculus/ContDiffDef.lean", "def_pos": [1420, 9]... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Function/LpSpace.lean | ContinuousMap.toLp_inj | [
1877,
1
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1879,
28
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Calculus/ContDiff.lean | ContDiffAt.div | [
1762,
8
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1764,
15
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/BilinearMap.lean | LinearMap.mk₂'_apply | [
110,
1
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111,
69
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/MetricSpace/Basic.lean | Bornology.IsBounded.subset_ball | [
2397,
1
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2398,
47
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Polynomial/Degree/Definitions.lean | Polynomial.degree_ne_of_natDegree_ne | [
161,
1
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162,
36
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Lattice.lean | Set.bijOn_iInter | [
1767,
1
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1771,
55
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Algebra/Subalgebra/Pointwise.lean | Subalgebra.mul_self | [
37,
1
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44,
70
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Function/LpSeminorm.lean | MeasureTheory.snorm'_congr_ae | [
397,
1
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398,
42
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/SetTheory/ZFC/Basic.lean | Class.coe_union | [
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1
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1611,
31
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Calculus/ContDiffDef.lean | hasFTaylorSeriesUpTo_zero_iff | [
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1
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37
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Algebra/Subalgebra/Basic.lean | Subalgebra.map_toSubsemiring | [
503,
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505,
28
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Measure/MutuallySingular.lean | MeasureTheory.Measure.MutuallySingular.sum_left | [
86,
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48
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Probability/Martingale/Convergence.lean | MeasureTheory.upcrossings_eq_top_of_frequently_lt | [
132,
1
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134,
80
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Covering/OneDim.lean | Real.tendsto_Icc_vitaliFamily_left | [
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44
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/MeasurableSpace/Basic.lean | MeasurableEquiv.coe_mk | [
1303,
1
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1305,
6
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/Prod.lean | Submodule.snd_map_fst | [
661,
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37
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/NumberTheory/LucasLehmer.lean | LucasLehmer.X.nat_coe_fst | [
277,
9
] | [
277,
74
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Algebra/Group/Compact.lean | TopologicalSpace.PositiveCompacts.locallyCompactSpace_of_group | [
51,
1
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53,
62
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Nat/Fib.lean | Nat.fast_fib_aux_bit_ff | [
236,
1
] | [
242,
9
] | [{"tactic": "rw [fastFibAux, binaryRec_eq]", "annotated_tactic": ["rw [<a>fastFibAux</a>, <a>binaryRec_eq</a>]", [{"full_name": "Nat.fastFibAux", "def_path": "Mathlib/Data/Nat/Fib.lean", "def_pos": [224, 5], "def_end_pos": [224, 15]}, {"full_name": "Nat.binaryRec_eq", "def_path": "Mathlib/Init/Data/Nat/Bitwise.lean", "... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Function/SimpleFunc.lean | MeasureTheory.SimpleFunc.const_one | [
458,
1
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459,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/TrivSqZeroExt.lean | TrivSqZeroExt.algebraMap_eq_inlHom | [
763,
1
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764,
6
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Logic/Equiv/Option.lean | Equiv.optionCongr_symm | [
51,
1
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52,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Init/Data/Nat/Bitwise.lean | Nat.testBit_succ | [
311,
1
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316,
13
] | [{"tactic": "have : bodd (((bit b n) >>> 1) >>> m) = bodd (n >>> m) := by\n dsimp [shiftRight]\n simp [\u2190 div2_val, div2_bit]", "annotated_tactic": ["have : <a>bodd</a> (((<a>bit</a> b n) >>> 1) >>> m) = <a>bodd</a> (n >>> m) := by\n dsimp [<a>shiftRight</a>]\n simp [\u2190 <a>div2_val</a>, <a>div2_bit</a>]... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Multiset/Basic.lean | Multiset.replicate_le_coe | [
956,
1
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957,
63
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/BoundedVariation.lean | eVariationOn.sum_le | [
102,
1
] | [
104,
38
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/GroupTheory/Perm/Cycle/Basic.lean | Equiv.Perm.IsCycleOn.apply_mem_iff | [
831,
1
] | [
834,
51
] | [{"tactic": "convert hf.1.perm_inv.1 hx", "annotated_tactic": ["convert hf.1.<a>perm_inv</a>.1 hx", [{"full_name": "Set.BijOn.perm_inv", "def_path": "Mathlib/GroupTheory/Perm/Basic.lean", "def_pos": [703, 7], "def_end_pos": [703, 21]}]], "state_before": "\u03b9 : Type u_1\n\u03b1 : Type u_2\n\u03b2 : Type u_3\nf g : Pe... |
https://github.com/leanprover/std4 | 869c615eb10130c0637a7bc038e2b80253559913 | lake-packages/std/Std/Data/Int/Lemmas.lean | Int.add_le_add_three | [
1149,
11
] | [
1151,
43
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Opposite.lean | Opposite.op_eq_iff_eq_unop | [
102,
1
] | [
103,
45
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Homology/Exact.lean | CategoryTheory.exact_comp_inv_hom_comp | [
179,
1
] | [
180,
35
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Algebra/Order/ProjIcc.lean | Continuous.IccExtend | [
54,
11
] | [
57,
70
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Order/Basic.lean | tendsto_comp_coe_Ioi_atBot | [
2624,
1
] | [
2626,
50
] | [{"tactic": "rw [\u2190 map_coe_Ioi_atBot, tendsto_map'_iff]", "annotated_tactic": ["rw [\u2190 <a>map_coe_Ioi_atBot</a>, <a>tendsto_map'_iff</a>]", [{"full_name": "map_coe_Ioi_atBot", "def_path": "Mathlib/Topology/Order/Basic.lean", "def_pos": [2599, 9], "def_end_pos": [2599, 26]}, {"full_name": "Filter.tendsto_map'_i... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/MvPolynomial/Variables.lean | MvPolynomial.totalDegree_mul | [
675,
1
] | [
678,
81
] | [{"tactic": "exact (Finsupp.sum_add_index' (fun _ => rfl) (fun _ _ _ => rfl)).le", "annotated_tactic": ["exact (<a>Finsupp.sum_add_index'</a> (fun _ => <a>rfl</a>) (fun _ _ _ => <a>rfl</a>)).<a>le</a>", [{"full_name": "Finsupp.sum_add_index'", "def_path": "Mathlib/Algebra/BigOperators/Finsupp.lean", "def_pos": [401, 3]... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Complex/Polynomial.lean | Complex.exists_root | [
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22
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Module/Submodule/Pointwise.lean | Submodule.coe_pointwise_smul | [
206,
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207,
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Deprecated/Subgroup.lean | Group.normalClosure_mono | [
741,
1
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742,
89
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/SpecialFunctions/Gamma/Beta.lean | Complex.Gamma_ne_zero_of_re_pos | [
476,
1
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479,
92
] | [{"tactic": "refine' Gamma_ne_zero fun m => _", "annotated_tactic": ["refine' <a>Gamma_ne_zero</a> fun m => _", [{"full_name": "Complex.Gamma_ne_zero", "def_path": "Mathlib/Analysis/SpecialFunctions/Gamma/Beta.lean", "def_pos": [448, 9], "def_end_pos": [448, 22]}]], "state_before": "s : \u2102\nhs : 0 < s.re\n\u22a2 Ga... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/OmegaCompletePartialOrder.lean | OmegaCompletePartialOrder.continuous_const | [
338,
1
] | [
339,
96
] | [{"tactic": "rw [\u03c9Sup_le_iff, Chain.map_coe, OrderHom.const_coe_coe]", "annotated_tactic": ["rw [<a>\u03c9Sup_le_iff</a>, <a>Chain.map_coe</a>, <a>OrderHom.const_coe_coe</a>]", [{"full_name": "OmegaCompletePartialOrder.\u03c9Sup_le_iff", "def_path": "Mathlib/Order/OmegaCompletePartialOrder.lean", "def_pos": [232, ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Probability/Martingale/BorelCantelli.lean | MeasureTheory.Adapted.isStoppingTime_leastGE | [
54,
1
] | [
56,
46
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Matrix/Basic.lean | Matrix.updateRow_reindex | [
2951,
1
] | [
2954,
38
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Int/NatPrime.lean | Int.Prime.dvd_natAbs_of_coe_dvd_sq | [
36,
1
] | [
39,
51
] | [{"tactic": "apply @Nat.Prime.dvd_of_dvd_pow _ _ 2 hp", "annotated_tactic": ["apply @<a>Nat.Prime.dvd_of_dvd_pow</a> _ _ 2 hp", [{"full_name": "Nat.Prime.dvd_of_dvd_pow", "def_path": "Mathlib/Data/Nat/Prime.lean", "def_pos": [584, 9], "def_end_pos": [584, 29]}]], "state_before": "p : \u2115\nhp : Nat.Prime p\nk : \u212... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Algebra/FilterBasis.lean | GroupFilterBasis.mul | [
102,
1
] | [
103,
24
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/RelClasses.lean | WellFoundedLT.induction | [
405,
1
] | [
406,
28
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/SpecialFunctions/Pow/Asymptotics.lean | tendsto_rpow_neg_div | [
130,
1
] | [
134,
7
] | [{"tactic": "convert tendsto_rpow_div_mul_add (-(1 : \u211d)) _ (0 : \u211d) zero_ne_one", "annotated_tactic": ["convert <a>tendsto_rpow_div_mul_add</a> (-(1 : \u211d)) _ (0 : \u211d) <a>zero_ne_one</a>", [{"full_name": "tendsto_rpow_div_mul_add", "def_path": "Mathlib/Analysis/SpecialFunctions/Pow/Asymptotics.lean", "d... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Lattice.lean | Set.mapsTo_iUnion₂_iUnion₂ | [
1583,
1
] | [
1585,
59
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Category/ModuleCat/Presheaf.lean | PresheafOfModules.map_id | [
74,
1
] | [
77,
7
] | [{"tactic": "ext", "annotated_tactic": ["ext", []], "state_before": "C : Type u\u2081\ninst\u271d : Category.{v\u2081, u\u2081} C\nR : C\u1d52\u1d56 \u2964 RingCat\nP : PresheafOfModules R\nX : C\u1d52\u1d56\n\u22a2 map P (\ud835\udfd9 X) = id'", "state_after": "case h\nC : Type u\u2081\ninst\u271d : Category.{v\u2081,... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Computability/RegularExpressions.lean | RegularExpression.plus_def | [
97,
1
] | [
98,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Finset/Basic.lean | Finset.insert_eq_of_mem | [
1125,
1
] | [
1126,
33
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Function.lean | Set.piecewise_mem_pi | [
1554,
1
] | [
1557,
54
] | [{"tactic": "intro i ht", "annotated_tactic": ["intro i ht", []], "state_before": "\u03b1 : Type u_1\n\u03b2 : Type u_2\n\u03b3 : Type u_3\n\u03b9 : Sort u_4\n\u03c0 : \u03b1 \u2192 Type u_5\n\u03b4\u271d : \u03b1 \u2192 Sort u_6\ns : Set \u03b1\nf\u271d g\u271d : (i : \u03b1) \u2192 \u03b4\u271d i\ninst\u271d : (j : \... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Combinatorics/SimpleGraph/Subgraph.lean | SimpleGraph.Subgraph.deleteEdges_coe_eq | [
1088,
1
] | [
1102,
22
] | [{"tactic": "ext \u27e8v, hv\u27e9 \u27e8w, hw\u27e9", "annotated_tactic": ["ext \u27e8v, hv\u27e9 \u27e8w, hw\u27e9", []], "state_before": "\u03b9 : Sort u_1\nV : Type u\nW : Type v\nG : SimpleGraph V\nG' : Subgraph G\ns\u271d : Set (Sym2 V)\ns : Set (Sym2 \u2191G'.verts)\n\u22a2 SimpleGraph.deleteEdges (Subgraph.coe ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Convex/Exposed.lean | IsExposed.convex | [
242,
11
] | [
249,
49
] | [{"tactic": "obtain rfl | hB := B.eq_empty_or_nonempty", "annotated_tactic": ["obtain rfl | hB := B.eq_empty_or_nonempty", []], "state_before": "\ud835\udd5c : Type u_1\nE : Type u_2\ninst\u271d\u2074 : TopologicalSpace \ud835\udd5c\ninst\u271d\u00b3 : LinearOrderedRing \ud835\udd5c\ninst\u271d\u00b2 : AddCommMonoid E\... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Multiset/Basic.lean | Multiset.replicate_one | [
910,
1
] | [
910,
59
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/GradedAlgebra/Radical.lean | Ideal.IsHomogeneous.radical | [
178,
1
] | [
181,
51
] | [{"tactic": "rw [h.radical_eq]", "annotated_tactic": ["rw [h.radical_eq]", []], "state_before": "\u03b9 : Type u_1\n\u03c3 : Type u_2\nA : Type u_3\ninst\u271d\u2074 : CommRing A\ninst\u271d\u00b3 : LinearOrderedCancelAddCommMonoid \u03b9\ninst\u271d\u00b2 : SetLike \u03c3 A\ninst\u271d\u00b9 : AddSubmonoidClass \u03c3... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Finset/Lattice.lean | Finset.sup'_apply | [
1098,
11
] | [
1101,
72
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Nat/ModEq.lean | Nat.mod_mul_right_mod | [
405,
1
] | [
406,
33
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Measure/Haar/Basic.lean | MeasureTheory.Measure.haar.prehaar_pos | [
309,
1
] | [
311,
89
] | [{"tactic": "apply div_pos <;> norm_cast", "annotated_tactic": ["apply <a>div_pos</a> <;> norm_cast", [{"full_name": "div_pos", "def_path": "Mathlib/Algebra/Order/Field/Basic.lean", "def_pos": [89, 9], "def_end_pos": [89, 16]}]], "state_before": "G : Type u_1\ninst\u271d\u00b2 : Group G\ninst\u271d\u00b9 : TopologicalS... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Calculus/Deriv/Mul.lean | deriv_smul | [
82,
1
] | [
84,
43
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Convex/Basic.lean | convex_iff_div | [
564,
1
] | [
567,
46
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Probability/Kernel/CondCdf.lean | ProbabilityTheory.tendsto_condCdfRat_atTop | [
642,
1
] | [
653,
57
] | [{"tactic": "unfold condCdfRat", "annotated_tactic": ["unfold <a>condCdfRat</a>", [{"full_name": "ProbabilityTheory.condCdfRat", "def_path": "Mathlib/Probability/Kernel/CondCdf.lean", "def_pos": [570, 19], "def_end_pos": [570, 29]}]], "state_before": "\u03b1 : Type u_1\n\u03b2 : Type u_2\n\u03b9 : Type u_3\nm\u03b1 : M... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Measure/AEDisjoint.lean | MeasureTheory.AEDisjoint.congr | [
87,
11
] | [
89,
68
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/Kaehler.lean | KaehlerDifferential.total_surjective | [
558,
1
] | [
560,
96
] | [{"tactic": "rw [\u2190 LinearMap.range_eq_top, Finsupp.range_total, KaehlerDifferential.span_range_derivation]", "annotated_tactic": ["rw [\u2190 <a>LinearMap.range_eq_top</a>, <a>Finsupp.range_total</a>, <a>KaehlerDifferential.span_range_derivation</a>]", [{"full_name": "LinearMap.range_eq_top", "def_path": "Mathlib/... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Homotopy/HomotopyGroup.lean | GenLoop.Homotopic.symm | [
179,
8
] | [
180,
9
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Fintype/Basic.lean | Set.toFinset_symmDiff | [
727,
1
] | [
730,
43
] | [{"tactic": "ext", "annotated_tactic": ["ext", []], "state_before": "\u03b1 : Type u_1\n\u03b2 : Type u_2\n\u03b3 : Type u_3\ns t : Set \u03b1\ninst\u271d\u00b3 : DecidableEq \u03b1\ninst\u271d\u00b2 : Fintype \u2191s\ninst\u271d\u00b9 : Fintype \u2191t\ninst\u271d : Fintype \u2191(s \u2206 t)\n\u22a2 toFinset (s \u220... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/SpecialFunctions/Pow/NNReal.lean | ENNReal.rpow_lt_rpow_of_exponent_gt | [
696,
1
] | [
700,
92
] | [{"tactic": "lift x to \u211d\u22650 using ne_of_lt (lt_of_lt_of_le hx1 le_top)", "annotated_tactic": ["lift x to \u211d\u22650 using <a>ne_of_lt</a> (<a>lt_of_lt_of_le</a> hx1 <a>le_top</a>)", [{"full_name": "ne_of_lt", "def_path": "Mathlib/Init/Order/Defs.lean", "def_pos": [101, 9], "def_end_pos": [101, 17]}, {"full_... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Geometry/Euclidean/MongePoint.lean | Affine.Triangle.orthocenter_replace_orthocenter_eq_point | [
624,
1
] | [
632,
48
] | [{"tactic": "refine' (Triangle.eq_orthocenter_of_forall_mem_altitude hj\u2082\u2083 _ _).symm", "annotated_tactic": ["refine' (<a>Triangle.eq_orthocenter_of_forall_mem_altitude</a> hj\u2082\u2083 _ _).<a>symm</a>", [{"full_name": "Affine.Triangle.eq_orthocenter_of_forall_mem_altitude", "def_path": "Mathlib/Geometry/Euc... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/QuadraticForm/Basic.lean | QuadraticForm.map_smul | [
215,
1
] | [
216,
19
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Computability/Halting.lean | Nat.Partrec'.Vec.prim | [
343,
8
] | [
343,
96
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Concept.lean | subset_intentClosure_iff_subset_extentClosure | [
62,
1
] | [
64,
59
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Geometry/Manifold/Diffeomorph.lean | Diffeomorph.symm_trans' | [
253,
1
] | [
255,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Matrix/Basic.lean | Matrix.smul_eq_diagonal_mul | [
1037,
1
] | [
1040,
7
] | [{"tactic": "ext", "annotated_tactic": ["ext", []], "state_before": "l : Type u_1\nm : Type u_2\nn : Type u_3\no : Type u_4\nm' : o \u2192 Type u_5\nn' : o \u2192 Type u_6\nR : Type u_7\nS : Type u_8\n\u03b1 : Type v\n\u03b2 : Type w\n\u03b3 : Type u_9\ninst\u271d\u00b2 : NonUnitalNonAssocSemiring \u03b1\ninst\u271d\u0... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Finset/Lattice.lean | Finset.le_max' | [
1445,
1
] | [
1446,
47
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/BilinearForm.lean | BilinForm.coe_zero | [
173,
1
] | [
174,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/NormedSpace/Star/Multiplier.lean | DoubleCentralizer.neg_toProd | [
224,
1
] | [
225,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/FinEnum.lean | FinEnum.mem_pi | [
230,
1
] | [
245,
12
] | [{"tactic": "induction' xs with xs_hd xs_tl xs_ih <;> simp [pi, -List.map_eq_map, monad_norm, functor_norm]", "annotated_tactic": ["induction' xs with xs_hd xs_tl xs_ih <;> simp [<a>pi</a>, -<a>List.map_eq_map</a>, monad_norm, functor_norm]", [{"full_name": "FinEnum.pi", "def_path": "Mathlib/Data/FinEnum.lean", "def_po... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/MvPolynomial/WeightedHomogeneous.lean | MvPolynomial.weightedHomogeneousComponent_C_mul | [
359,
1
] | [
361,
41
] | [{"tactic": "simp only [C_mul', LinearMap.map_smul]", "annotated_tactic": ["simp only [<a>C_mul'</a>, <a>LinearMap.map_smul</a>]", [{"full_name": "MvPolynomial.C_mul'", "def_path": "Mathlib/Data/MvPolynomial/Basic.lean", "def_pos": [276, 9], "def_end_pos": [276, 15]}, {"full_name": "LinearMap.map_smul", "def_path": "Ma... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Subobject/FactorThru.lean | CategoryTheory.Subobject.factors_add | [
182,
1
] | [
184,
73
] | [{"tactic": "simp", "annotated_tactic": ["simp", []], "state_before": "C : Type u\u2081\ninst\u271d\u00b2 : Category.{v\u2081, u\u2081} C\nX\u271d Y\u271d Z : C\nD : Type u\u2082\ninst\u271d\u00b9 : Category.{v\u2082, u\u2082} D\ninst\u271d : Preadditive C\nX Y : C\nP : Subobject Y\nf g : X \u27f6 Y\nwf : Factors P f\n... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/MeasurableSpace/Defs.lean | MeasurableSpace.measurableSet_injective | [
252,
1
] | [
253,
46
] | [{"tactic": "congr", "annotated_tactic": ["congr", []], "state_before": "\u03b1 : Type u_1\n\u03b2 : Type u_2\n\u03b3 : Type u_3\n\u03b4 : Type u_4\n\u03b4' : Type u_5\n\u03b9 : Sort u_6\ns t u : Set \u03b1\nMeasurableSet'\u271d\u00b9 : Set \u03b1 \u2192 Prop\nmeasurableSet_empty\u271d\u00b9 : MeasurableSet'\u271d\u00b... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/PrincipalIdealDomain.lean | Irreducible.coprime_pow_of_not_dvd | [
448,
1
] | [
450,
46
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Preadditive/Biproducts.lean | CategoryTheory.Limits.IsBilimit.total | [
119,
1
] | [
123,
38
] | [{"tactic": "cases j", "annotated_tactic": ["cases j", []], "state_before": "C : Type u\ninst\u271d\u00b2 : Category.{v, u} C\ninst\u271d\u00b9 : Preadditive C\nJ : Type\ninst\u271d : Fintype J\nf : J \u2192 C\nb : Bicone f\ni : Bicone.IsBilimit b\nj : Discrete J\n\u22a2 (\u2211 j : J, Bicone.\u03c0 b j \u226b Bicone.\... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Concept.lean | extentClosure_intentClosure_extentClosure | [
151,
1
] | [
153,
48
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Real/Basic.lean | Real.sInf_def | [
747,
1
] | [
748,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Init/Logic.lean | let_eq | [
456,
1
] | [
458,
74
] | [{"tactic": "simp [h\u2081, h\u2082]", "annotated_tactic": ["simp [h\u2081, h\u2082]", []], "state_before": "a b c d : Prop\np : ?m.30216\n\u03b1 : Sort v\n\u03b2 : Sort u\na\u2081 a\u2082 : \u03b1\nb\u2081 b\u2082 : \u03b1 \u2192 \u03b2\nh\u2081 : a\u2081 = a\u2082\nh\u2082 : \u2200 (x : \u03b1), b\u2081 x = b\u2082 x... |
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