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/Order/Filter/Partial.lean | Filter.ptendsto'_of_ptendsto | [
278,
1
] | [
283,
31
] | [{"tactic": "rw [ptendsto_def, ptendsto'_def]", "annotated_tactic": ["rw [<a>ptendsto_def</a>, <a>ptendsto'_def</a>]", [{"full_name": "Filter.ptendsto_def", "def_path": "Mathlib/Order/Filter/Partial.lean", "def_pos": [226, 9], "def_end_pos": [226, 21]}, {"full_name": "Filter.ptendsto'_def", "def_path": "Mathlib/Order/F... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Sym/Basic.lean | Sym.mem_cons_of_mem | [
183,
1
] | [
184,
29
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/UpperLower/Basic.lean | lowerClosure_iUnion | [
1562,
1
] | [
1563,
36
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Probability/Martingale/Basic.lean | MeasureTheory.submartingale_iff_condexp_sub_nonneg | [
324,
1
] | [
328,
53
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Vector3.lean | exists_vector_zero | [
234,
1
] | [
235,
68
] | [{"tactic": "rw [\u2190 eq_nil v]", "annotated_tactic": ["rw [\u2190 <a>eq_nil</a> v]", [{"full_name": "Vector3.eq_nil", "def_path": "Mathlib/Data/Vector3.lean", "def_pos": [104, 9], "def_end_pos": [104, 15]}]], "state_before": "\u03b1 : Type u_1\nm n : \u2115\nf : Vector3 \u03b1 0 \u2192 Prop\nx\u271d : Exists f\nv : ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/GroupTheory/Submonoid/Basic.lean | MonoidHom.eq_of_eqOn_topM | [
610,
1
] | [
611,
25
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Algebra/Nonarchimedean/Basic.lean | NonarchimedeanGroup.prod_self_subset | [
104,
1
] | [
107,
72
] | [{"tactic": "refine' Set.Subset.trans (Set.prod_mono _ _) \u2039_\u203a <;> simp", "annotated_tactic": ["refine' <a>Set.Subset.trans</a> (<a>Set.prod_mono</a> _ _) \u2039_\u203a <;> simp", [{"full_name": "Set.Subset.trans", "def_path": "Mathlib/Data/Set/Basic.lean", "def_pos": [362, 9], "def_end_pos": [362, 21]}, {"ful... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Parity.lean | even_bit0 | [
269,
9
] | [
270,
11
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/LocallyConvex/WithSeminorms.lean | Seminorm.continuous_from_bounded | [
621,
1
] | [
634,
90
] | [{"tactic": "have : TopologicalAddGroup E := hp.topologicalAddGroup", "annotated_tactic": ["have : <a>TopologicalAddGroup</a> E := hp.topologicalAddGroup", [{"full_name": "TopologicalAddGroup", "def_path": "Mathlib/Topology/Algebra/Group/Basic.lean", "def_pos": [427, 7], "def_end_pos": [427, 26]}]], "state_before": "\u... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Function/ConditionalExpectation/CondexpL1.lean | MeasureTheory.norm_condexpIndL1Fin_le | [
128,
1
] | [
144,
55
] | [{"tactic": "have : 0 \u2264 \u222b a : \u03b1, \u2016condexpIndL1Fin hm hs h\u03bcs x a\u2016 \u2202\u03bc :=\n integral_nonneg fun a => norm_nonneg _", "annotated_tactic": ["have : 0 \u2264 \u222b a : \u03b1, \u2016<a>condexpIndL1Fin</a> hm hs h\u03bcs x a\u2016 \u2202\u03bc :=\n <a>integral_nonneg</a> fun a => <... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Real/CauSeq.lean | CauSeq.rat_inf_continuous_lemma | [
818,
1
] | [
820,
59
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/SpecialFunctions/Log/Basic.lean | Real.log_le_log' | [
155,
1
] | [
159,
51
] | [{"tactic": "intro hxy", "annotated_tactic": ["intro hxy", []], "state_before": "x y : \u211d\nhx : 0 < x\n\u22a2 x \u2264 y \u2192 log x \u2264 log y", "state_after": "x y : \u211d\nhx : 0 < x\nhxy : x \u2264 y\n\u22a2 log x \u2264 log y"}, {"tactic": "cases hxy.eq_or_lt with\n| inl h_eq => simp [h_eq]\n| inr hlt => e... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/SpecialFunctions/Trigonometric/Inverse.lean | Real.arccos_eq_zero | [
392,
1
] | [
392,
83
] | [{"tactic": "simp [arccos, sub_eq_zero]", "annotated_tactic": ["simp [<a>arccos</a>, <a>sub_eq_zero</a>]", [{"full_name": "Real.arccos", "def_path": "Mathlib/Analysis/SpecialFunctions/Trigonometric/Inverse.lean", "def_pos": [335, 19], "def_end_pos": [335, 25]}, {"full_name": "sub_eq_zero", "def_path": "Mathlib/Algebra/... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/GroupTheory/OrderOfElement.lean | isOfFinAddOrder_ofMul_iff | [
61,
1
] | [
62,
10
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Int/ModEq.lean | Int.ModEq.cancel_left_div_gcd | [
237,
1
] | [
238,
57
] | [{"tactic": "simpa [mul_comm] using h", "annotated_tactic": ["simpa [<a>mul_comm</a>] using h", [{"full_name": "mul_comm", "def_path": "Mathlib/Algebra/Group/Defs.lean", "def_pos": [302, 9], "def_end_pos": [302, 17]}]], "state_before": "m n a b c d : \u2124\nhm : 0 < m\nh : c * a \u2261 c * b [ZMOD m]\n\u22a2 a * c \u2... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/GroupTheory/FreeGroup/Basic.lean | FreeGroup.freeGroupCongr_trans | [
880,
1
] | [
882,
31
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/AffineSpace/Ordered.lean | lineMap_le_right_iff_le | [
151,
1
] | [
152,
73
] | [{"tactic": "rw [lineMap_apply_one]", "annotated_tactic": ["rw [<a>lineMap_apply_one</a>]", [{"full_name": "AffineMap.lineMap_apply_one", "def_path": "Mathlib/LinearAlgebra/AffineSpace/AffineMap.lean", "def_pos": [563, 9], "def_end_pos": [563, 26]}]], "state_before": "k : Type u_1\nE : Type u_2\nPE : Type u_3\ninst\u27... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Bool/AllAny.lean | List.any_iff_exists_prop | [
48,
1
] | [
48,
94
] | [{"tactic": "simp [any_iff_exists]", "annotated_tactic": ["simp [<a>any_iff_exists</a>]", [{"full_name": "List.any_iff_exists", "def_path": "Mathlib/Data/Bool/AllAny.lean", "def_pos": [42, 9], "def_end_pos": [42, 23]}]], "state_before": "\u03b1 : Type u_1\np : \u03b1 \u2192 Prop\ninst\u271d : DecidablePred p\nl : List ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/FreeCommRing.lean | FreeCommRing.restriction_of | [
228,
1
] | [
229,
14
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Covering/BesicovitchVectorSpace.lean | Besicovitch.SatelliteConfig.centerAndRescale_radius | [
119,
1
] | [
121,
73
] | [{"tactic": "simp [SatelliteConfig.centerAndRescale, inv_mul_cancel (a.rpos _).ne']", "annotated_tactic": ["simp [<a>SatelliteConfig.centerAndRescale</a>, <a>inv_mul_cancel</a> (a.rpos _).<a>ne'</a>]", [{"full_name": "Besicovitch.SatelliteConfig.centerAndRescale", "def_path": "Mathlib/MeasureTheory/Covering/Besicovitch... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Function/L1Space.lean | MeasureTheory.hasFiniteIntegral_smul_iff | [
415,
1
] | [
421,
33
] | [{"tactic": "obtain \u27e8c, rfl\u27e9 := hc", "annotated_tactic": ["obtain \u27e8c, rfl\u27e9 := hc", []], "state_before": "\u03b1 : Type u_1\n\u03b2 : Type u_2\n\u03b3 : Type u_3\n\u03b4 : Type u_4\nm : MeasurableSpace \u03b1\n\u03bc \u03bd : Measure \u03b1\ninst\u271d\u2075 : MeasurableSpace \u03b4\ninst\u271d\u2074... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Fourier/AddCircle.lean | fourierCoeff_liftIco_eq | [
420,
1
] | [
428,
50
] | [{"tactic": "rw [fourierCoeffOn_eq_integral, fourierCoeff_eq_intervalIntegral _ _ a, add_sub_cancel' a T]", "annotated_tactic": ["rw [<a>fourierCoeffOn_eq_integral</a>, <a>fourierCoeff_eq_intervalIntegral</a> _ _ a, <a>add_sub_cancel'</a> a T]", [{"full_name": "fourierCoeffOn_eq_integral", "def_path": "Mathlib/Analysis... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/MvPolynomial/Expand.lean | MvPolynomial.rename_expand | [
84,
1
] | [
86,
59
] | [{"tactic": "simp [expand, bind\u2081_rename, rename_bind\u2081, Function.comp]", "annotated_tactic": ["simp [<a>expand</a>, <a>bind\u2081_rename</a>, <a>rename_bind\u2081</a>, <a>Function.comp</a>]", [{"full_name": "MvPolynomial.expand", "def_path": "Mathlib/Data/MvPolynomial/Expand.lean", "def_pos": [32, 19], "def_en... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Algebra/Tower.lean | Submodule.smul_mem_span_smul | [
310,
1
] | [
315,
52
] | [{"tactic": "rw [smul_zero]", "annotated_tactic": ["rw [<a>smul_zero</a>]", [{"full_name": "smul_zero", "def_path": "Mathlib/GroupTheory/GroupAction/Defs.lean", "def_pos": [732, 9], "def_end_pos": [732, 18]}]], "state_before": "R : Type u\nS : Type v\nA : Type w\nB : Type u\u2081\nM : Type v\u2081\ninst\u271d\u2077 : S... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/AffineSpace/Combination.lean | Finset.affineCombinationLineMapWeights_self | [
709,
1
] | [
711,
41
] | [{"tactic": "simp [affineCombinationLineMapWeights]", "annotated_tactic": ["simp [<a>affineCombinationLineMapWeights</a>]", [{"full_name": "Finset.affineCombinationLineMapWeights", "def_path": "Mathlib/LinearAlgebra/AffineSpace/Combination.lean", "def_pos": [704, 5], "def_end_pos": [704, 36]}]], "state_before": "k : Ty... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/MonoidAlgebra/Degree.lean | AddMonoidAlgebra.le_inf_support_finset_prod | [
203,
1
] | [
206,
94
] | [{"tactic": "rw [Multiset.map_map]", "annotated_tactic": ["rw [<a>Multiset.map_map</a>]", [{"full_name": "Multiset.map_map", "def_path": "Mathlib/Data/Multiset/Basic.lean", "def_pos": [1283, 9], "def_end_pos": [1283, 16]}]], "state_before": "R : Type u_1\nA : Type u_2\nT : Type u_3\nB : Type u_4\n\u03b9 : Type u_5\nins... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Basic.lean | Set.compl_univ | [
1691,
1
] | [
1692,
12
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Probability/Independence/ZeroOne.lean | ProbabilityTheory.measure_eq_zero_or_one_or_top_of_indepSet_self | [
32,
1
] | [
42,
37
] | [{"tactic": "rw [IndepSet_iff] at h_indep", "annotated_tactic": ["rw [<a>IndepSet_iff</a>] at h_indep", [{"full_name": "ProbabilityTheory.IndepSet_iff", "def_path": "Mathlib/Probability/Independence/Basic.lean", "def_pos": [190, 7], "def_end_pos": [190, 19]}]], "state_before": "\u03a9 : Type u_1\n\u03b9 : Type u_2\nm m... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/NormedSpace/FiniteDimension.lean | exists_norm_le_le_norm_sub_of_finset | [
372,
1
] | [
392,
62
] | [{"tactic": "let F := Submodule.span \ud835\udd5c (s : Set E)", "annotated_tactic": ["let F := <a>Submodule.span</a> \ud835\udd5c (s : <a>Set</a> E)", [{"full_name": "Submodule.span", "def_path": "Mathlib/LinearAlgebra/Span.lean", "def_pos": [49, 5], "def_end_pos": [49, 9]}, {"full_name": "Set", "def_path": "Mathlib/In... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/Valuation/ValuationSubring.lean | ValuationSubring.mapOfLE_comp_valuation | [
278,
1
] | [
279,
61
] | [{"tactic": "ext", "annotated_tactic": ["ext", []], "state_before": "K : Type u\ninst\u271d : Field K\nA R S : ValuationSubring K\nh : R \u2264 S\n\u22a2 \u2191(mapOfLE R S h) \u2218 \u2191(valuation R) = \u2191(valuation S)", "state_after": "case h\nK : Type u\ninst\u271d : Field K\nA R S : ValuationSubring K\nh : R \... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Module/Equiv.lean | LinearEquiv.ext_iff | [
238,
1
] | [
239,
18
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/AffineSpace/AffineSubspace.lean | AffineSubspace.direction_inf | [
912,
1
] | [
917,
84
] | [{"tactic": "simp only [direction_eq_vectorSpan, vectorSpan_def]", "annotated_tactic": ["simp only [<a>direction_eq_vectorSpan</a>, <a>vectorSpan_def</a>]", [{"full_name": "AffineSubspace.direction_eq_vectorSpan", "def_path": "Mathlib/LinearAlgebra/AffineSpace/AffineSubspace.lean", "def_pos": [203, 9], "def_end_pos": [... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/TensorProduct.lean | Subalgebra.finiteDimensional_sup | [
1105,
1
] | [
1109,
93
] | [{"tactic": "rw [\u2190 E1.range_val, \u2190 E2.range_val, \u2190 Algebra.TensorProduct.productMap_range]", "annotated_tactic": ["rw [\u2190 E1.range_val, \u2190 E2.range_val, \u2190 <a>Algebra.TensorProduct.productMap_range</a>]", [{"full_name": "Algebra.TensorProduct.productMap_range", "def_path": "Mathlib/RingTheory... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Function/LpSeminorm.lean | MeasureTheory.snorm_add_le | [
802,
1
] | [
811,
37
] | [{"tactic": "by_cases hp0 : p = 0", "annotated_tactic": ["by_cases hp0 : p = 0", []], "state_before": "\u03b1 : Type u_1\nE : Type u_2\nF : Type u_3\nG : Type u_4\nm m0 : MeasurableSpace \u03b1\np : \u211d\u22650\u221e\nq : \u211d\n\u03bc \u03bd : Measure \u03b1\ninst\u271d\u00b2 : NormedAddCommGroup E\ninst\u271d\u00b... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Sheaves/SheafCondition/UniqueGluing.lean | TopCat.Sheaf.eq_of_locally_eq' | [
241,
1
] | [
251,
14
] | [{"tactic": "have V_eq_supr_U : V = iSup U := le_antisymm hcover (iSup_le fun i => (iUV i).le)", "annotated_tactic": ["have V_eq_supr_U : V = <a>iSup</a> U := <a>le_antisymm</a> hcover (<a>iSup_le</a> fun i => (iUV i).<a>le</a>)", [{"full_name": "iSup", "def_path": "Mathlib/Order/CompleteLattice.lean", "def_pos": [78, ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Filter/AtTopBot.lean | Filter.tendsto_atBot_add_right_of_ge' | [
840,
1
] | [
842,
56
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Monoidal/Mon_.lean | Mon_.one_associator | [
380,
1
] | [
390,
29
] | [{"tactic": "simp only [Category.assoc, Iso.cancel_iso_inv_left]", "annotated_tactic": ["simp only [<a>Category.assoc</a>, <a>Iso.cancel_iso_inv_left</a>]", [{"full_name": "CategoryTheory.Category.assoc", "def_path": "Mathlib/CategoryTheory/Category/Basic.lean", "def_pos": [159, 3], "def_end_pos": [159, 8]}, {"full_nam... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Nat/Bits.lean | Nat.binaryRec_eq' | [
167,
1
] | [
183,
8
] | [{"tactic": "rw [binaryRec]", "annotated_tactic": ["rw [<a>binaryRec</a>]", [{"full_name": "Nat.binaryRec", "def_path": "Mathlib/Init/Data/Nat/Bitwise.lean", "def_pos": [227, 5], "def_end_pos": [227, 14]}]], "state_before": "n\u271d : \u2115\nC : \u2115 \u2192 Sort u_1\nz : C 0\nf : (b : Bool) \u2192 (n : \u2115) \u219... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Polynomial/Degree/Definitions.lean | Polynomial.coeff_eq_zero_of_natDegree_lt | [
349,
1
] | [
355,
46
] | [{"tactic": "apply coeff_eq_zero_of_degree_lt", "annotated_tactic": ["apply <a>coeff_eq_zero_of_degree_lt</a>", [{"full_name": "Polynomial.coeff_eq_zero_of_degree_lt", "def_path": "Mathlib/Data/Polynomial/Degree/Definitions.lean", "def_pos": [345, 9], "def_end_pos": [345, 35]}]], "state_before": "R : Type u\nS : Type v... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Instances/NNReal.lean | NNReal.sum_add_tsum_nat_add | [
223,
1
] | [
225,
64
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Quaternion.lean | Quaternion.coe_starAe | [
1216,
1
] | [
1217,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Finset/Pointwise.lean | Finset.Nonempty.of_mul_left | [
382,
1
] | [
383,
26
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/LocalHomeomorph.lean | LocalHomeomorph.IsImage.interior | [
596,
11
] | [
597,
70
] | [{"tactic": "simpa only [closure_compl, compl_compl] using h.compl.closure.compl", "annotated_tactic": ["simpa only [<a>closure_compl</a>, <a>compl_compl</a>] using h.compl.closure.compl", [{"full_name": "closure_compl", "def_path": "Mathlib/Topology/Basic.lean", "def_pos": [572, 9], "def_end_pos": [572, 22]}, {"full_n... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/GaloisConnection.lean | GaloisCoinsertion.strictMono_l | [
861,
1
] | [
862,
38
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/QuadraticForm/Basic.lean | QuadraticForm.sum_apply | [
475,
1
] | [
477,
44
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/NumberTheory/PellMatiyasevic.lean | Pell.isPell_pellZd | [
227,
1
] | [
231,
52
] | [{"tactic": "let o := isPell_one a1", "annotated_tactic": ["let o := <a>isPell_one</a> a1", [{"full_name": "Pell.isPell_one", "def_path": "Mathlib/NumberTheory/PellMatiyasevic.lean", "def_pos": [223, 9], "def_end_pos": [223, 19]}]], "state_before": "a : \u2115\na1 : 1 < a\nn : \u2115\n\u22a2 IsPell (pellZd a1 (n + 1))"... |
https://github.com/leanprover/std4 | 869c615eb10130c0637a7bc038e2b80253559913 | lake-packages/std/Std/Data/String/Lemmas.lean | Substring.ValidFor.front | [
895,
1
] | [
896,
29
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/List/Basic.lean | List.nthLe_enum | [
3870,
1
] | [
3872,
58
] | [{"tactic": "simpa [length_enum] using hi'", "annotated_tactic": ["simpa [<a>length_enum</a>] using hi'", [{"full_name": "List.length_enum", "def_path": "Mathlib/Data/List/Basic.lean", "def_pos": [3730, 9], "def_end_pos": [3730, 20]}]], "state_before": "\u03b9 : Type u_1\n\u03b1 : Type u\n\u03b2 : Type v\n\u03b3 : Type... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Polynomial/Eval.lean | Polynomial.eval_zero | [
383,
1
] | [
384,
17
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Combinatorics/SetFamily/Compression/Down.lean | Finset.card_memberSubfamily_add_card_nonMemberSubfamily | [
91,
1
] | [
96,
9
] | [{"tactic": "rw [memberSubfamily, nonMemberSubfamily, card_image_of_injOn]", "annotated_tactic": ["rw [<a>memberSubfamily</a>, <a>nonMemberSubfamily</a>, <a>card_image_of_injOn</a>]", [{"full_name": "Finset.memberSubfamily", "def_path": "Mathlib/Combinatorics/SetFamily/Compression/Down.lean", "def_pos": [51, 5], "def_e... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/SpecialFunctions/Trigonometric/Deriv.lean | derivWithin_ccos | [
190,
1
] | [
192,
43
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Bornology/Basic.lean | Bornology.isCobounded_compl_iff | [
158,
1
] | [
159,
10
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/InnerProductSpace/l2Space.lean | HilbertBasis.hasSum_inner_mul_inner | [
484,
11
] | [
488,
69
] | [{"tactic": "convert (b.hasSum_repr y).mapL (innerSL _ x) using 1", "annotated_tactic": ["convert (b.hasSum_repr y).<a>mapL</a> (<a>innerSL</a> _ x) using 1", [{"full_name": "HasSum.mapL", "def_path": "Mathlib/Topology/Algebra/InfiniteSum/Module.lean", "def_pos": [49, 7], "def_end_pos": [49, 18]}, {"full_name": "innerS... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/VectorBundle/Hom.lean | Pretrivialization.continuousOn_continuousLinearMapCoordChange | [
98,
1
] | [
118,
41
] | [{"tactic": "have h\u2081 := (compSL F\u2081 F\u2082 F\u2082 \u03c3 (RingHom.id \ud835\udd5c\u2082)).continuous", "annotated_tactic": ["have h\u2081 := (<a>compSL</a> F\u2081 F\u2082 F\u2082 \u03c3 (<a>RingHom.id</a> \ud835\udd5c\u2082)).<a>continuous</a>", [{"full_name": "ContinuousLinearMap.compSL", "def_path": "Math... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Fin/Basic.lean | Fin.liftFun_iff_succ | [
1128,
1
] | [
1138,
49
] | [{"tactic": "constructor", "annotated_tactic": ["constructor", []], "state_before": "n m : \u2115\n\u03b1 : Type u_1\nr : \u03b1 \u2192 \u03b1 \u2192 Prop\ninst\u271d : IsTrans \u03b1 r\nf : Fin (n + 1) \u2192 \u03b1\n\u22a2 ((fun x x_1 => x < x_1) \u21d2 r) f f \u2194 \u2200 (i : Fin n), r (f (castSucc i)) (f (succ i)... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Measure/Hausdorff.lean | MeasureTheory.Measure.le_mkMetric | [
530,
1
] | [
533,
59
] | [{"tactic": "rw [\u2190 toOuterMeasure_le, mkMetric_toOuterMeasure]", "annotated_tactic": ["rw [\u2190 <a>toOuterMeasure_le</a>, <a>mkMetric_toOuterMeasure</a>]", [{"full_name": "MeasureTheory.Measure.toOuterMeasure_le", "def_path": "Mathlib/MeasureTheory/Measure/MeasureSpace.lean", "def_pos": [976, 9], "def_end_pos": ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Finite.lean | Set.Finite.exists_lt_map_eq_of_forall_mem | [
1440,
1
] | [
1444,
18
] | [{"tactic": "rw [\u2190 maps_univ_to] at hf", "annotated_tactic": ["rw [\u2190 <a>maps_univ_to</a>] at hf", [{"full_name": "Set.maps_univ_to", "def_path": "Mathlib/Data/Set/Function.lean", "def_pos": [538, 9], "def_end_pos": [538, 21]}]], "state_before": "\u03b1 : Type u\n\u03b2 : Type v\n\u03b9 : Sort w\n\u03b3 : Type... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/NormedSpace/BoundedLinearMaps.lean | IsBoundedBilinearMap.map_sub_right | [
391,
1
] | [
393,
42
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Abelian/Pseudoelements.lean | CategoryTheory.Abelian.Pseudoelement.pseudoZero_def | [
248,
1
] | [
248,
79
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Algebra/Module/WeakDual.lean | WeakBilin.embedding | [
131,
1
] | [
133,
74
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Monoidal/Bimod.lean | Bimod.tensor_comp | [
449,
1
] | [
455,
75
] | [{"tactic": "ext", "annotated_tactic": ["ext", []], "state_before": "C : Type u\u2081\ninst\u271d\u2074 : Category.{v\u2081, u\u2081} C\ninst\u271d\u00b3 : MonoidalCategory C\nA B : Mon_ C\nM : Bimod A B\ninst\u271d\u00b2 : HasCoequalizers C\ninst\u271d\u00b9 : (X : C) \u2192 PreservesColimitsOfSize.{0, 0, v\u2081, v\u... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Iso.lean | CategoryTheory.Functor.mapIso_trans | [
604,
1
] | [
606,
33
] | [{"tactic": "ext", "annotated_tactic": ["ext", []], "state_before": "C : Type u\ninst\u271d\u00b9 : Category.{v, u} C\nX\u271d Y\u271d Z\u271d : C\nD : Type u\u2082\ninst\u271d : Category.{v\u2082, u\u2082} D\nF : C \u2964 D\nX Y Z : C\ni : X \u2245 Y\nj : Y \u2245 Z\n\u22a2 F.mapIso (i \u226a\u226b j) = F.mapIso i \u2... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Algebra/Module/Alternating.lean | ContinuousAlternatingMap.add_apply | [
210,
1
] | [
211,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Finset/Pointwise.lean | Finset.union_mul | [
436,
1
] | [
437,
20
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Geometry/RingedSpace/OpenImmersion.lean | AlgebraicGeometry.LocallyRingedSpace.IsOpenImmersion.lift_fac | [
1154,
1
] | [
1157,
73
] | [{"tactic": "haveI := pullback_snd_isIso_of_range_subset f g H'", "annotated_tactic": ["haveI := <a>pullback_snd_isIso_of_range_subset</a> f g H'", [{"full_name": "AlgebraicGeometry.LocallyRingedSpace.IsOpenImmersion.pullback_snd_isIso_of_range_subset", "def_path": "Mathlib/Geometry/RingedSpace/OpenImmersion.lean", "de... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/NormedSpace/Star/Multiplier.lean | DoubleCentralizer.norm_snd | [
643,
1
] | [
643,
86
] | [{"tactic": "rw [\u2190 norm_fst, norm_fst_eq_snd]", "annotated_tactic": ["rw [\u2190 <a>norm_fst</a>, <a>norm_fst_eq_snd</a>]", [{"full_name": "DoubleCentralizer.norm_fst", "def_path": "Mathlib/Analysis/NormedSpace/Star/Multiplier.lean", "def_pos": [637, 9], "def_end_pos": [637, 17]}, {"full_name": "DoubleCentralizer.... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Image.lean | Function.Semiconj.set_image | [
308,
1
] | [
310,
15
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Separation.lean | lim_nhdsWithin | [
1114,
1
] | [
1116,
21
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Finset/Powerset.lean | Finset.powersetCard_mono | [
208,
1
] | [
210,
69
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Lie/Weights/Basic.lean | LieModule.mem_weightSpace | [
177,
1
] | [
179,
40
] | [{"tactic": "simp [weightSpace, mem_weightSpaceOf]", "annotated_tactic": ["simp [<a>weightSpace</a>, <a>mem_weightSpaceOf</a>]", [{"full_name": "LieModule.weightSpace", "def_path": "Mathlib/Algebra/Lie/Weights/Basic.lean", "def_pos": [174, 5], "def_end_pos": [174, 16]}, {"full_name": "LieModule.mem_weightSpaceOf", "def... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Algebra/ConstMulAction.lean | IsOpen.smul₀ | [
338,
1
] | [
339,
26
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/List/Basic.lean | List.nthLe_replicate | [
1285,
1
] | [
1286,
54
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Order/Basic.lean | Icc_mem_nhds | [
387,
1
] | [
388,
59
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Geometry/Euclidean/Angle/Oriented/Basic.lean | Orientation.right_ne_zero_of_oangle_ne_zero | [
94,
1
] | [
95,
24
] | [{"tactic": "rintro rfl", "annotated_tactic": ["rintro rfl", []], "state_before": "V : Type u_1\nV' : Type u_2\ninst\u271d\u2075 : NormedAddCommGroup V\ninst\u271d\u2074 : NormedAddCommGroup V'\ninst\u271d\u00b3 : InnerProductSpace \u211d V\ninst\u271d\u00b2 : InnerProductSpace \u211d V'\ninst\u271d\u00b9 : Fact (finra... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Int/SuccPred.lean | Int.sub_one_covby | [
81,
1
] | [
81,
91
] | [{"tactic": "rw [Int.covby_iff_succ_eq, sub_add_cancel]", "annotated_tactic": ["rw [<a>Int.covby_iff_succ_eq</a>, <a>sub_add_cancel</a>]", [{"full_name": "Int.covby_iff_succ_eq", "def_path": "Mathlib/Data/Int/SuccPred.lean", "def_pos": [76, 19], "def_end_pos": [76, 36]}, {"full_name": "sub_add_cancel", "def_path": "Mat... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/GroupTheory/Subsemigroup/Center.lean | Set.invOf_mem_center | [
125,
1
] | [
127,
32
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/DiscreteSubset.lean | isClosed_and_discrete_iff | [
83,
1
] | [
92,
60
] | [{"tactic": "rw [discreteTopology_subtype_iff, isClosed_iff_clusterPt, \u2190 forall_and]", "annotated_tactic": ["rw [<a>discreteTopology_subtype_iff</a>, <a>isClosed_iff_clusterPt</a>, \u2190 <a>forall_and</a>]", [{"full_name": "discreteTopology_subtype_iff", "def_path": "Mathlib/Topology/Constructions.lean", "def_pos... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/Polynomial/Basic.lean | Ideal.polynomial_mem_ideal_of_coeff_mem_ideal | [
524,
1
] | [
526,
81
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Measure/MeasureSpace.lean | MeasureTheory.Measure.finiteAtBot | [
3262,
1
] | [
3263,
66
] | [{"tactic": "simp only [measure_empty, WithTop.zero_lt_top]", "annotated_tactic": ["simp only [<a>measure_empty</a>, <a>WithTop.zero_lt_top</a>]", [{"full_name": "MeasureTheory.measure_empty", "def_path": "Mathlib/MeasureTheory/Measure/MeasureSpaceDef.lean", "def_pos": [185, 9], "def_end_pos": [185, 22]}, {"full_name":... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/FreeMonoid/Count.lean | FreeMonoid.count_apply | [
81,
1
] | [
82,
61
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/SpecialFunctions/Gaussian.lean | exp_neg_mul_sq_isLittleO_exp_neg | [
50,
1
] | [
55,
93
] | [{"tactic": "have A : (fun x : \u211d => -x - -b * x ^ 2) = fun x => x * (b * x + -1) := by ext x; ring", "annotated_tactic": ["have A : (fun x : \u211d => -x - -b * x ^ 2) = fun x => x * (b * x + -1) := by ext x; ring", []], "state_before": "b : \u211d\nhb : 0 < b\n\u22a2 (fun x => rexp (-b * x ^ 2)) =o[atTop] fun x =... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Hom/GroupAction.lean | MulSemiringActionHom.coe_fn_coe | [
510,
1
] | [
511,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/FieldTheory/RatFunc.lean | RatFunc.liftOn_mk | [
244,
1
] | [
253,
93
] | [{"tactic": "by_cases hq : q = 0", "annotated_tactic": ["by_cases hq : q = 0", []], "state_before": "K : Type u\ninst\u271d\u00b9 : CommRing K\ninst\u271d : IsDomain K\nP : Sort v\np q : K[X]\nf : K[X] \u2192 K[X] \u2192 P\nf0 : \u2200 (p : K[X]), f p 0 = f 0 1\nH' : \u2200 {p q p' q' : K[X]}, q \u2260 0 \u2192 q' \u22... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Pi/Algebra.lean | Pi.div_apply | [
201,
1
] | [
202,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/SpecialFunctions/Complex/LogDeriv.lean | Complex.hasStrictDerivAt_log | [
53,
1
] | [
56,
58
] | [{"tactic": "rintro rfl", "annotated_tactic": ["rintro rfl", []], "state_before": "x : \u2102\nh : 0 < x.re \u2228 x.im \u2260 0\n\u22a2 x \u2260 0", "state_after": "h : 0 < 0.re \u2228 0.im \u2260 0\n\u22a2 False"}, {"tactic": "simp [lt_irrefl] at h", "annotated_tactic": ["simp [<a>lt_irrefl</a>] at h", [{"full_name":... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/W/Basic.lean | WType.depth_lt_depth_mk | [
135,
1
] | [
136,
78
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Polynomial/BigOperators.lean | Polynomial.natDegree_multiset_prod' | [
172,
1
] | [
180,
34
] | [{"tactic": "revert h", "annotated_tactic": ["revert h", []], "state_before": "R : Type u\n\u03b9 : Type w\ns : Finset \u03b9\ninst\u271d : CommSemiring R\nf : \u03b9 \u2192 R[X]\nt : Multiset R[X]\nh : prod (Multiset.map (fun f => leadingCoeff f) t) \u2260 0\n\u22a2 natDegree (prod t) = Multiset.sum (Multiset.map (fun... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Num/Lemmas.lean | ZNum.of_nat_cast | [
1557,
1
] | [
1558,
53
] | [{"tactic": "rw [\u2190 Int.cast_ofNat, of_int_cast, Int.cast_ofNat]", "annotated_tactic": ["rw [\u2190 <a>Int.cast_ofNat</a>, <a>of_int_cast</a>, <a>Int.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": "ZNum.o... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Algebra/Group/Basic.lean | Homeomorph.shearMulRight_symm_coe | [
664,
1
] | [
666,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Calculus/FDeriv/Equiv.lean | ContinuousLinearEquiv.comp_fderivWithin | [
156,
1
] | [
162,
91
] | [{"tactic": "by_cases h : DifferentiableWithinAt \ud835\udd5c f s x", "annotated_tactic": ["by_cases h : <a>DifferentiableWithinAt</a> \ud835\udd5c f s x", [{"full_name": "DifferentiableWithinAt", "def_path": "Mathlib/Analysis/Calculus/FDeriv/Basic.lean", "def_pos": [172, 5], "def_end_pos": [172, 27]}]], "state_before"... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Polynomial/Eval.lean | Polynomial.eval_surjective | [
531,
1
] | [
531,
90
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/Valuation/Basic.lean | Valuation.IsEquiv.ne_zero | [
405,
1
] | [
407,
41
] | [{"tactic": "have : v\u2081 r \u2260 v\u2081 0 \u2194 v\u2082 r \u2260 v\u2082 0 := not_congr h.val_eq", "annotated_tactic": ["have : v\u2081 r \u2260 v\u2081 0 \u2194 v\u2082 r \u2260 v\u2082 0 := <a>not_congr</a> h.val_eq", [{"full_name": "not_congr", "def_path": "lake-packages/std/Std/Logic.lean", "def_pos": [22, 9]... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Finset/Card.lean | Finset.card_eq_three | [
646,
1
] | [
656,
35
] | [{"tactic": "constructor", "annotated_tactic": ["constructor", []], "state_before": "\u03b1 : Type u_1\n\u03b2 : Type u_2\ns t : Finset \u03b1\nf : \u03b1 \u2192 \u03b2\nn : \u2115\ninst\u271d : DecidableEq \u03b1\n\u22a2 card s = 3 \u2194 \u2203 x y z, x \u2260 y \u2227 x \u2260 z \u2227 y \u2260 z \u2227 s = {x, y, z... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Star/Basic.lean | star_star_mul | [
143,
1
] | [
143,
96
] | [{"tactic": "rw [star_mul, star_star]", "annotated_tactic": ["rw [<a>star_mul</a>, <a>star_star</a>]", [{"full_name": "StarMul.star_mul", "def_path": "Mathlib/Algebra/Star/Basic.lean", "def_pos": [132, 3], "def_end_pos": [132, 11]}, {"full_name": "star_star", "def_path": "Mathlib/Algebra/Star/Basic.lean", "def_pos": [8... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Synonym.lean | toLex_ofLex | [
184,
1
] | [
185,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Constructions/Prod/Basic.lean | MeasureTheory.Measure.measure_ae_null_of_prod_null | [
435,
1
] | [
443,
47
] | [{"tactic": "obtain \u27e8t, hst, mt, ht\u27e9 := exists_measurable_superset_of_null h", "annotated_tactic": ["obtain \u27e8t, hst, mt, ht\u27e9 := <a>exists_measurable_superset_of_null</a> h", [{"full_name": "MeasureTheory.exists_measurable_superset_of_null", "def_path": "Mathlib/MeasureTheory/Measure/MeasureSpaceDef.... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Normed/Group/Hom.lean | NormedAddGroupHom.sub_apply | [
487,
1
] | [
489,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Polynomial/Degree/Definitions.lean | Polynomial.eq_X_add_C_of_natDegree_le_one | [
458,
1
] | [
460,
61
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/LinearIndependent.lean | linearIndependent_bounded_of_finset_linearIndependent_bounded | [
359,
1
] | [
367,
60
] | [{"tactic": "intro s li", "annotated_tactic": ["intro s li", []], "state_before": "\u03b9 : Type u'\n\u03b9' : Type u_1\nR : Type u_2\nK : Type u_3\nM : Type u_4\nM' : Type u_5\nM'' : Type u_6\nV : Type u\nV' : Type u_7\nv : \u03b9 \u2192 M\ninst\u271d\u2076 : Semiring R\ninst\u271d\u2075 : AddCommMonoid M\ninst\u271d\... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/InnerProductSpace/Orientation.lean | Orientation.volumeForm_apply_le | [
278,
1
] | [
279,
54
] | [] |
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