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/Module/FiniteDimension.lean | LinearEquiv.toLinearEquiv_toContinuousLinearEquiv_symm | [
395,
1
] | [
398,
6
] | [{"tactic": "ext x", "annotated_tactic": ["ext x", []], "state_before": "\ud835\udd5c : Type u\nhnorm : NontriviallyNormedField \ud835\udd5c\nE : Type v\ninst\u271d\u00b9\u2078 : AddCommGroup E\ninst\u271d\u00b9\u2077 : Module \ud835\udd5c E\ninst\u271d\u00b9\u2076 : TopologicalSpace E\ninst\u271d\u00b9\u2075 : Topolog... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Subobject/FactorThru.lean | CategoryTheory.Subobject.factors_right_of_factors_add | [
210,
1
] | [
212,
78
] | [{"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\nw : Factors P (f +... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/SetTheory/Ordinal/Arithmetic.lean | Ordinal.enumOrd_mem | [
2188,
1
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2189,
30
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/GeomSum.lean | geom_sum_pos | [
464,
1
] | [
466,
76
] | [{"tactic": "simp", "annotated_tactic": ["simp", []], "state_before": "\u03b1 : Type u\n\u03b2 : Type u_1\nn : \u2115\nx : \u03b1\ninst\u271d : StrictOrderedSemiring \u03b1\nhx : 0 \u2264 x\nhn : n \u2260 0\n\u22a2 0 < x ^ 0", "state_after": "no goals"}] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Int/Log.lean | Int.le_zpow_iff_clog_le | [
300,
1
] | [
302,
80
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Star/Basic.lean | star_eq_zero | [
280,
1
] | [
281,
40
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Order/Field/Power.lean | Nat.zpow_ne_zero_of_pos | [
53,
1
] | [
54,
32
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Convex/Gauge.lean | gauge_eq_zero | [
451,
1
] | [
462,
25
] | [{"tactic": "refine \u27e8not_imp_not.1 fun (h : x \u2260 0) \u21a6 ne_of_gt ?_, fun h \u21a6 h.symm \u25b8 gauge_zero\u27e9", "annotated_tactic": ["refine \u27e8<a>not_imp_not</a>.1 fun (h : x \u2260 0) \u21a6 <a>ne_of_gt</a> ?_, fun h \u21a6 h.symm \u25b8 <a>gauge_zero</a>\u27e9", [{"full_name": "not_imp_not", "def_p... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Geometry/Euclidean/Angle/Unoriented/Affine.lean | EuclideanGeometry.angle_eq_zero_iff_ne_and_wbtw | [
385,
1
] | [
400,
43
] | [{"tactic": "constructor", "annotated_tactic": ["constructor", []], "state_before": "V : Type u_1\nP : Type u_2\ninst\u271d\u00b3 : NormedAddCommGroup V\ninst\u271d\u00b2 : InnerProductSpace \u211d V\ninst\u271d\u00b9 : MetricSpace P\ninst\u271d : NormedAddTorsor V P\np\u2081 p\u2082 p\u2083 : P\n\u22a2 \u2220 p\u2081 ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Quaternion.lean | Quaternion.nnnorm_star | [
89,
1
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90,
29
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Polynomial/Div.lean | Polynomial.not_isField | [
530,
1
] | [
539,
22
] | [{"tactic": "nontriviality R", "annotated_tactic": ["nontriviality R", []], "state_before": "R : Type u\nS : Type v\nT : Type w\nA : Type z\na b : R\nn : \u2115\ninst\u271d : CommRing R\np q : R[X]\n\u22a2 \u00acIsField R[X]", "state_after": "R : Type u\nS : Type v\nT : Type w\nA : Type z\na b : R\nn : \u2115\ninst\u27... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Finset/Basic.lean | Finset.inter_eq_inter_iff_right | [
1840,
1
] | [
1841,
23
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/BilinearForm/TensorProduct.lean | BilinForm.tensorDistribEquiv_toLinearMap | [
137,
1
] | [
142,
21
] | [{"tactic": "ext B\u2081 B\u2082 : 3", "annotated_tactic": ["ext B\u2081 B\u2082 : 3", []], "state_before": "\u03b9 : Type u\u03b9\nR : Type uR\nA : Type uA\nM\u2081 : Type uM\u2081\nM\u2082 : Type uM\u2082\ninst\u271d\u2079 : CommRing R\ninst\u271d\u2078 : AddCommGroup M\u2081\ninst\u271d\u2077 : AddCommGroup M\u2082\... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Finset/Basic.lean | Finset.range_mono | [
3079,
1
] | [
3079,
65
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/SpecialFunctions/Pow/Deriv.lean | tendsto_one_plus_div_rpow_exp | [
632,
1
] | [
640,
42
] | [{"tactic": "apply ((Real.continuous_exp.tendsto _).comp (tendsto_mul_log_one_plus_div_atTop t)).congr' _", "annotated_tactic": ["apply ((Real.continuous_exp.tendsto _).<a>comp</a> (<a>tendsto_mul_log_one_plus_div_atTop</a> t)).<a>congr'</a> _", [{"full_name": "Filter.Tendsto.comp", "def_path": "Mathlib/Order/Filter/Ba... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Combinatorics/SimpleGraph/Connectivity.lean | SimpleGraph.adj_and_reachable_delete_edges_iff_exists_cycle | [
2611,
1
] | [
2633,
58
] | [{"tactic": "rw [reachable_delete_edges_iff_exists_walk]", "annotated_tactic": ["rw [<a>reachable_delete_edges_iff_exists_walk</a>]", [{"full_name": "SimpleGraph.reachable_delete_edges_iff_exists_walk", "def_path": "Mathlib/Combinatorics/SimpleGraph/Connectivity.lean", "def_pos": [2562, 9], "def_end_pos": [2562, 47]}]]... |
https://github.com/leanprover/std4 | 869c615eb10130c0637a7bc038e2b80253559913 | lake-packages/std/Std/Data/List/Basic.lean | List.takeWhile₂_eq_takeWhile₂TR | [
1097,
10
] | [
1103,
30
] | [{"tactic": "funext \u03b1 \u03b2 R as bs", "annotated_tactic": ["funext \u03b1 \u03b2 R as bs", []], "state_before": "\u22a2 @takeWhile\u2082 = @takeWhile\u2082TR", "state_after": "case h.h.h.h.h\n\u03b1 : Type u_2\n\u03b2 : Type u_1\nR : \u03b1 \u2192 \u03b2 \u2192 Bool\nas : List \u03b1\nbs : List \u03b2\n\u22a2 tak... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Polynomial/Basic.lean | Polynomial.toFinsupp_C_mul_X_pow | [
780,
1
] | [
782,
51
] | [{"tactic": "rw [C_mul_X_pow_eq_monomial, toFinsupp_monomial]", "annotated_tactic": ["rw [<a>C_mul_X_pow_eq_monomial</a>, <a>toFinsupp_monomial</a>]", [{"full_name": "Polynomial.C_mul_X_pow_eq_monomial", "def_path": "Mathlib/Data/Polynomial/Basic.lean", "def_pos": [773, 9], "def_end_pos": [773, 32]}, {"full_name": "Pol... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Finsupp/Defs.lean | Finsupp.mapRange_add' | [
1181,
1
] | [
1183,
33
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Geometry/Manifold/LocalInvariantProperties.lean | StructureGroupoid.LocalInvariantProp.liftPropOn_chart_symm | [
524,
1
] | [
526,
73
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Integral/SetIntegral.lean | MeasureTheory.integral_union_ae | [
96,
1
] | [
99,
89
] | [{"tactic": "simp only [IntegrableOn, Measure.restrict_union\u2080 hst ht, integral_add_measure hfs hft]", "annotated_tactic": ["simp only [<a>IntegrableOn</a>, <a>Measure.restrict_union\u2080</a> hst ht, <a>integral_add_measure</a> hfs hft]", [{"full_name": "MeasureTheory.IntegrableOn", "def_path": "Mathlib/MeasureThe... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Finset/NatAntidiagonal.lean | Finset.Nat.antidiagonal.snd_lt | [
124,
1
] | [
125,
46
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Function.lean | Set.EqOn.mono | [
228,
1
] | [
228,
96
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Finset/Lattice.lean | Finset.sup_image | [
63,
1
] | [
65,
18
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Probability/Martingale/Upcrossing.lean | MeasureTheory.upcrossingsBefore_bot | [
456,
1
] | [
457,
77
] | [{"tactic": "simp [upcrossingsBefore]", "annotated_tactic": ["simp [<a>upcrossingsBefore</a>]", [{"full_name": "MeasureTheory.upcrossingsBefore", "def_path": "Mathlib/Probability/Martingale/Upcrossing.lean", "def_pos": [450, 19], "def_end_pos": [450, 36]}]], "state_before": "\u03a9 : Type u_1\n\u03b9 : Type u_2\nm0 : M... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Polynomial/Eval.lean | Polynomial.eval₂_mul_X | [
190,
1
] | [
194,
32
] | [{"tactic": "refine' _root_.trans (eval\u2082_mul_noncomm _ _ fun k => _) (by rw [eval\u2082_X])", "annotated_tactic": ["refine' <a>_root_.trans</a> (<a>eval\u2082_mul_noncomm</a> _ _ fun k => _) (by rw [<a>eval\u2082_X</a>])", [{"full_name": "trans", "def_path": "Mathlib/Init/Algebra/Classes.lean", "def_pos": [308, 9]... |
https://github.com/leanprover/std4 | 869c615eb10130c0637a7bc038e2b80253559913 | lake-packages/std/Std/Data/Nat/Gcd.lean | Nat.gcd_eq_iff | [
182,
1
] | [
192,
30
] | [{"tactic": "constructor", "annotated_tactic": ["constructor", []], "state_before": "g a b : Nat\n\u22a2 gcd a b = g \u2194 g \u2223 a \u2227 g \u2223 b \u2227 \u2200 (c : Nat), c \u2223 a \u2192 c \u2223 b \u2192 c \u2223 g", "state_after": "case mp\ng a b : Nat\n\u22a2 gcd a b = g \u2192 g \u2223 a \u2227 g \u2223 b ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/FiberBundle/Trivialization.lean | Trivialization.nhds_eq_inf_comap | [
472,
1
] | [
476,
30
] | [{"tactic": "refine eq_of_forall_le_iff fun l \u21a6 ?_", "annotated_tactic": ["refine <a>eq_of_forall_le_iff</a> fun l \u21a6 ?_", [{"full_name": "eq_of_forall_le_iff", "def_path": "Mathlib/Order/Basic.lean", "def_pos": [541, 9], "def_end_pos": [541, 28]}]], "state_before": "\u03b9 : Type u_1\nB : Type u_2\nF : Type u... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/WithBot.lean | WithTop.untop_le_iff | [
899,
1
] | [
901,
36
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/WittVector/Defs.lean | WittVector.zsmul_coeff | [
377,
1
] | [
379,
65
] | [] |
https://github.com/leanprover/std4 | 869c615eb10130c0637a7bc038e2b80253559913 | lake-packages/std/Std/Data/Nat/Lemmas.lean | Nat.mul_dvd_mul_right | [
900,
11
] | [
901,
37
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Filter/Archimedean.lean | tendsto_nat_cast_atTop_atTop | [
37,
1
] | [
39,
42
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/List/OfFn.lean | List.nthLe_ofFn' | [
78,
1
] | [
80,
38
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Order.lean | mem_nhds_induced | [
852,
1
] | [
860,
86
] | [{"tactic": "letI := T.induced f", "annotated_tactic": ["letI := T.induced f", []], "state_before": "\u03b1 : Type u\n\u03b2 : Type v\n\u03b3 : Type u_1\nf\u271d : \u03b1 \u2192 \u03b2\n\u03b9 : Sort u_2\nT : TopologicalSpace \u03b1\nf : \u03b2 \u2192 \u03b1\na : \u03b2\ns : Set \u03b2\n\u22a2 s \u2208 \ud835\udcdd a \... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/Derivation/ToSquareZero.lean | liftOfDerivationToSquareZero_mk_apply' | [
112,
1
] | [
114,
70
] | [{"tactic": "simp only [Ideal.Quotient.eq_zero_iff_mem.mpr (d x).prop, zero_add]", "annotated_tactic": ["simp only [Ideal.Quotient.eq_zero_iff_mem.mpr (d x).<a>prop</a>, <a>zero_add</a>]", [{"full_name": "Subtype.prop", "def_path": "Mathlib/Data/Subtype.lean", "def_pos": [38, 9], "def_end_pos": [38, 13]}, {"full_name":... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Ordmap/Ordset.lean | Ordnode.Valid'.balanceR_aux | [
1371,
1
] | [
1377,
22
] | [{"tactic": "rw [Valid'.dual_iff, dual_balanceR]", "annotated_tactic": ["rw [<a>Valid'.dual_iff</a>, <a>dual_balanceR</a>]", [{"full_name": "Ordnode.Valid'.dual_iff", "def_path": "Mathlib/Data/Ordmap/Ordset.lean", "def_pos": [1080, 9], "def_end_pos": [1080, 24]}, {"full_name": "Ordnode.dual_balanceR", "def_path": "Math... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Heyting/Basic.lean | sdiff_le_comm | [
507,
1
] | [
507,
85
] | [{"tactic": "rw [sdiff_le_iff, sdiff_le_iff']", "annotated_tactic": ["rw [<a>sdiff_le_iff</a>, <a>sdiff_le_iff'</a>]", [{"full_name": "sdiff_le_iff", "def_path": "Mathlib/Order/Heyting/Basic.lean", "def_pos": [500, 9], "def_end_pos": [500, 21]}, {"full_name": "sdiff_le_iff'", "def_path": "Mathlib/Order/Heyting/Basic.le... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Limits/Shapes/CommSq.lean | CategoryTheory.IsPullback.paste_vert | [
504,
1
] | [
508,
77
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Calculus/Deriv/Basic.lean | HasDerivAt.hasDerivAtFilter | [
383,
1
] | [
385,
37
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/AlgebraicGeometry/Restrict.lean | AlgebraicGeometry.pullbackRestrictIsoRestrict_hom_morphismRestrict | [
235,
1
] | [
237,
27
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/SetTheory/Cardinal/Ordinal.lean | Cardinal.prod_eq_two_power | [
936,
1
] | [
945,
15
] | [{"tactic": "rw [\u2190 lift_id'.{u, v} (prod.{u, v} c), lift_prod, \u2190 lift_two_power]", "annotated_tactic": ["rw [\u2190 <a>lift_id'</a>.{u, v} (<a>prod</a>.{u, v} c), <a>lift_prod</a>, \u2190 <a>lift_two_power</a>]", [{"full_name": "Cardinal.lift_id'", "def_path": "Mathlib/SetTheory/Cardinal/Basic.lean", "def_pos... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/SpecialFunctions/Log/Base.lean | Real.lt_logb_iff_rpow_lt | [
204,
1
] | [
205,
74
] | [{"tactic": "rw [\u2190 rpow_lt_rpow_left_iff hb, rpow_logb (b_pos hb) (b_ne_one' hb) hy]", "annotated_tactic": ["rw [\u2190 <a>rpow_lt_rpow_left_iff</a> hb, <a>rpow_logb</a> (<a>b_pos</a> hb) (<a>b_ne_one'</a> hb) hy]", [{"full_name": "Real.rpow_lt_rpow_left_iff", "def_path": "Mathlib/Analysis/SpecialFunctions/Pow/Rea... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Filter/Lift.lean | Filter.lift'_inf | [
398,
1
] | [
402,
23
] | [{"tactic": "rw [inf_eq_iInf, inf_eq_iInf, lift'_iInf hs]", "annotated_tactic": ["rw [<a>inf_eq_iInf</a>, <a>inf_eq_iInf</a>, <a>lift'_iInf</a> hs]", [{"full_name": "inf_eq_iInf", "def_path": "Mathlib/Order/CompleteLattice.lean", "def_pos": [1587, 9], "def_end_pos": [1587, 20]}, {"full_name": "inf_eq_iInf", "def_path":... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Integral/Average.lean | MeasureTheory.measure_laverage_le_pos | [
668,
1
] | [
671,
93
] | [{"tactic": "simpa [hint] using\n @measure_setLaverage_le_pos _ _ _ _ f (measure_univ_ne_zero.2 h\u03bc) nullMeasurableSet_univ", "annotated_tactic": ["simpa [hint] using\n @<a>measure_setLaverage_le_pos</a> _ _ _ _ f (<a>measure_univ_ne_zero</a>.2 h\u03bc) <a>nullMeasurableSet_univ</a>", [{"full_name": "MeasureThe... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/BilinearForm.lean | BilinForm.sum_right | [
444,
1
] | [
446,
37
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Integral/CircleTransform.lean | Complex.continuous_circleTransformDeriv | [
88,
1
] | [
92,
81
] | [{"tactic": "rw [circleTransformDeriv_eq]", "annotated_tactic": ["rw [<a>circleTransformDeriv_eq</a>]", [{"full_name": "Complex.circleTransformDeriv_eq", "def_path": "Mathlib/MeasureTheory/Integral/CircleTransform.lean", "def_pos": [60, 9], "def_end_pos": [60, 32]}]], "state_before": "E : Type u_1\ninst\u271d\u00b9 : N... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Intervals/Disjoint.lean | Set.iUnion_Ico_right | [
111,
1
] | [
112,
70
] | [{"tactic": "simp only [\u2190 Ici_inter_Iio, \u2190 inter_iUnion, iUnion_Iio, inter_univ]", "annotated_tactic": ["simp only [\u2190 <a>Ici_inter_Iio</a>, \u2190 <a>inter_iUnion</a>, <a>iUnion_Iio</a>, <a>inter_univ</a>]", [{"full_name": "Set.Ici_inter_Iio", "def_path": "Mathlib/Data/Set/Intervals/Basic.lean", "def_pos... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Real/ENNReal.lean | ENNReal.zero_ne_top | [
334,
9
] | [
334,
50
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/AffineSpace/AffineSubspace.lean | AffineSubspace.map_le_iff_le_comap | [
1667,
1
] | [
1669,
19
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Finset/Pointwise.lean | Finset.inv_empty | [
225,
1
] | [
226,
16
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/GroupPower/Lemmas.lean | MonoidHom.apply_mnat | [
893,
1
] | [
895,
73
] | [{"tactic": "rw [\u2190 powersHom_symm_apply, \u2190 powersHom_apply, Equiv.apply_symm_apply]", "annotated_tactic": ["rw [\u2190 <a>powersHom_symm_apply</a>, \u2190 <a>powersHom_apply</a>, <a>Equiv.apply_symm_apply</a>]", [{"full_name": "powersHom_symm_apply", "def_path": "Mathlib/Algebra/GroupPower/Lemmas.lean", "def_... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Order/Field/Basic.lean | lt_div_iff | [
162,
1
] | [
163,
42
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/Subsemiring/Basic.lean | Subsemiring.prod_mono_right | [
1082,
1
] | [
1083,
24
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/LocalProperties.lean | RingHom.ofLocalizationSpanTarget_iff_finite | [
169,
1
] | [
179,
46
] | [{"tactic": "delta RingHom.OfLocalizationSpanTarget RingHom.OfLocalizationFiniteSpanTarget", "annotated_tactic": ["delta <a>RingHom.OfLocalizationSpanTarget</a> <a>RingHom.OfLocalizationFiniteSpanTarget</a>", [{"full_name": "RingHom.OfLocalizationSpanTarget", "def_path": "Mathlib/RingTheory/LocalProperties.lean", "def_... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/StructuredArrow.lean | CategoryTheory.StructuredArrow.mk_hom_eq_self | [
83,
1
] | [
84,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/GroupTheory/Subgroup/Basic.lean | Subgroup.Normal.mem_comm | [
1966,
1
] | [
1970,
47
] | [{"tactic": "have : a\u207b\u00b9 * (a * b) * a\u207b\u00b9\u207b\u00b9 \u2208 H := nH.conj_mem (a * b) h a\u207b\u00b9", "annotated_tactic": ["have : a\u207b\u00b9 * (a * b) * a\u207b\u00b9\u207b\u00b9 \u2208 H := nH.conj_mem (a * b) h a\u207b\u00b9", []], "state_before": "G : Type u_1\nG' : Type u_2\nG'' : Type u_3\n... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/MonoidAlgebra/Basic.lean | AddMonoidAlgebra.single_add | [
1235,
1
] | [
1236,
29
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Real/Sqrt.lean | Real.sqrt_eq_zero' | [
339,
1
] | [
340,
76
] | [{"tactic": "rw [sqrt, NNReal.coe_eq_zero, NNReal.sqrt_eq_zero, Real.toNNReal_eq_zero]", "annotated_tactic": ["rw [<a>sqrt</a>, <a>NNReal.coe_eq_zero</a>, <a>NNReal.sqrt_eq_zero</a>, <a>Real.toNNReal_eq_zero</a>]", [{"full_name": "Real.sqrt", "def_path": "Mathlib/Data/Real/Sqrt.lean", "def_pos": [166, 19], "def_end_pos... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/MetricSpace/Basic.lean | dist_le_Ico_sum_of_dist_le | [
247,
1
] | [
251,
86
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Prod.lean | Set.univ_pi_eq_empty | [
715,
1
] | [
716,
30
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Measure/NullMeasurable.lean | MeasureTheory.NullMeasurableSet.union_null | [
189,
11
] | [
191,
24
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/List/ToFinsupp.lean | List.toFinsupp_apply_lt' | [
77,
1
] | [
78,
20
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/NumberTheory/PrimeCounting.lean | Nat.monotone_primeCounting' | [
60,
1
] | [
61,
23
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Order/Ring/Lemmas.lean | mul_le_mul_of_le_of_le | [
409,
1
] | [
411,
78
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Pairwise/Basic.lean | Set.PairwiseDisjoint.subset | [
246,
1
] | [
247,
21
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Homology/Homology.lean | HomologicalComplex.boundaries_le_cycles | [
103,
1
] | [
104,
43
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Ring/Commute.lean | Units.inv_eq_self_iff | [
170,
1
] | [
174,
28
] | [{"tactic": "rw [inv_eq_iff_mul_eq_one]", "annotated_tactic": ["rw [<a>inv_eq_iff_mul_eq_one</a>]", [{"full_name": "inv_eq_iff_mul_eq_one", "def_path": "Mathlib/Algebra/Group/Basic.lean", "def_pos": [673, 9], "def_end_pos": [673, 30]}]], "state_before": "\u03b1 : Type u\n\u03b2 : Type v\n\u03b3 : Type w\nR : Type x\nin... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Concept.lean | extentClosure_empty | [
88,
1
] | [
89,
24
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Algebra/Subalgebra/Basic.lean | Subalgebra.centralizer_univ | [
1428,
1
] | [
1429,
40
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/PiSystem.lean | generateFrom_generatePiSystem_eq | [
283,
1
] | [
287,
78
] | [{"tactic": "apply le_antisymm <;> apply generateFrom_le", "annotated_tactic": ["apply <a>le_antisymm</a> <;> apply <a>generateFrom_le</a>", [{"full_name": "le_antisymm", "def_path": "Mathlib/Init/Order/Defs.lean", "def_pos": [188, 9], "def_end_pos": [188, 20]}, {"full_name": "MeasurableSpace.generateFrom_le", "def_pat... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Order/Field/Basic.lean | div_le_div_right | [
363,
1
] | [
364,
77
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Complex/ReImTopology.lean | Complex.frontier_setOf_le_im | [
149,
1
] | [
150,
63
] | [{"tactic": "simpa only [frontier_Ici] using frontier_preimage_im (Ici a)", "annotated_tactic": ["simpa only [<a>frontier_Ici</a>] using <a>frontier_preimage_im</a> (<a>Ici</a> a)", [{"full_name": "frontier_Ici", "def_path": "Mathlib/Topology/Order/Basic.lean", "def_pos": [2412, 9], "def_end_pos": [2412, 21]}, {"full_n... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Filter/Basic.lean | Filter.EventuallyLE.mul_le_mul' | [
1785,
1
] | [
1788,
74
] | [{"tactic": "filter_upwards [hf, hg] with x hfx hgx using _root_.mul_le_mul' hfx hgx", "annotated_tactic": ["filter_upwards [hf, hg] with x hfx hgx using <a>_root_.mul_le_mul'</a> hfx hgx", [{"full_name": "mul_le_mul'", "def_path": "Mathlib/Algebra/Order/Monoid/Lemmas.lean", "def_pos": [206, 9], "def_end_pos": [206, 20... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Filter/AtTopBot.lean | OrderIso.comap_atBot | [
453,
1
] | [
454,
21
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Order/Basic.lean | Ioo_mem_nhds | [
375,
1
] | [
376,
38
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/SpecialFunctions/NonIntegrable.lean | not_intervalIntegrable_of_tendsto_norm_atTop_of_deriv_isBigO_filter | [
53,
1
] | [
95,
27
] | [{"tactic": "intro hgi", "annotated_tactic": ["intro hgi", []], "state_before": "E : Type u_1\nF : Type u_2\ninst\u271d\u2076 : NormedAddCommGroup E\ninst\u271d\u2075 : NormedSpace \u211d E\ninst\u271d\u2074 : SecondCountableTopology E\ninst\u271d\u00b3 : CompleteSpace E\ninst\u271d\u00b2 : NormedAddCommGroup F\nf : \u... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Star/Free.lean | FreeAlgebra.star_ι | [
67,
1
] | [
67,
75
] | [{"tactic": "simp [star, Star.star]", "annotated_tactic": ["simp [<a>star</a>, <a>Star.star</a>]", [{"full_name": "Star.star", "def_path": "Mathlib/Algebra/Star/Basic.lean", "def_pos": [43, 3], "def_end_pos": [43, 7]}, {"full_name": "Star.star", "def_path": "Mathlib/Algebra/Star/Basic.lean", "def_pos": [43, 3], "def_en... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Int/GCD.lean | Nat.xgcdAux_val | [
121,
1
] | [
122,
39
] | [{"tactic": "rw [xgcd, \u2190 xgcdAux_fst x y 1 0 0 1]", "annotated_tactic": ["rw [<a>xgcd</a>, \u2190 <a>xgcdAux_fst</a> x y 1 0 0 1]", [{"full_name": "Nat.xgcd", "def_path": "Mathlib/Data/Int/GCD.lean", "def_pos": [68, 5], "def_end_pos": [68, 9]}, {"full_name": "Nat.xgcdAux_fst", "def_path": "Mathlib/Data/Int/GCD.lea... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/BigOperators/Basic.lean | Finset.mem_sum | [
1902,
1
] | [
1907,
56
] | [{"tactic": "refine' s.induction_on (by simp) _", "annotated_tactic": ["refine' s.induction_on (by simp) _", []], "state_before": "\u03b9 : Type u_1\n\u03b2 : Type u\n\u03b1 : Type v\n\u03b3 : Type w\ns\u271d s\u2081 s\u2082 : Finset \u03b1\na : \u03b1\nf\u271d g : \u03b1 \u2192 \u03b2\nf : \u03b1 \u2192 Multiset \u03b... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Combinatorics/SimpleGraph/Connectivity.lean | SimpleGraph.set_walk_self_length_zero_eq | [
2397,
1
] | [
2399,
7
] | [{"tactic": "ext p", "annotated_tactic": ["ext p", []], "state_before": "V : Type u\nV' : Type v\nV'' : Type w\nG : SimpleGraph V\nG' : SimpleGraph V'\nG'' : SimpleGraph V''\nu : V\n\u22a2 {p | Walk.length p = 0} = {Walk.nil}", "state_after": "case h\nV : Type u\nV' : Type v\nV'' : Type w\nG : SimpleGraph V\nG' : Simpl... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/QuadraticForm/Basic.lean | QuadraticForm.map_smul_of_tower | [
245,
1
] | [
247,
92
] | [{"tactic": "rw [\u2190 IsScalarTower.algebraMap_smul R a x, map_smul, \u2190 RingHom.map_mul, Algebra.smul_def]", "annotated_tactic": ["rw [\u2190 <a>IsScalarTower.algebraMap_smul</a> R a x, <a>map_smul</a>, \u2190 <a>RingHom.map_mul</a>, <a>Algebra.smul_def</a>]", [{"full_name": "IsScalarTower.algebraMap_smul", "def_... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Bounds/Basic.lean | upperBounds_Icc | [
695,
1
] | [
696,
31
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Finset/LocallyFinite.lean | Finset.Ioo_self | [
303,
1
] | [
304,
30
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/GroupTheory/Coprod/Basic.lean | Monoid.Coprod.toProd_surjective | [
558,
1
] | [
559,
93
] | [{"tactic": "rw [map_mul, toProd_apply_inl, toProd_apply_inr, Prod.fst_mul_snd]", "annotated_tactic": ["rw [<a>map_mul</a>, <a>toProd_apply_inl</a>, <a>toProd_apply_inr</a>, <a>Prod.fst_mul_snd</a>]", [{"full_name": "map_mul", "def_path": "Mathlib/Algebra/Hom/Group/Defs.lean", "def_pos": [299, 9], "def_end_pos": [299, ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Constructions/BorelSpace/Basic.lean | Measurable.max | [
862,
1
] | [
864,
71
] | [{"tactic": "simpa only [max_def'] using hf.piecewise (measurableSet_le hg hf) hg", "annotated_tactic": ["simpa only [<a>max_def'</a>] using hf.piecewise (<a>measurableSet_le</a> hg hf) hg", [{"full_name": "max_def'", "def_path": "Mathlib/Order/Basic.lean", "def_pos": [480, 9], "def_end_pos": [480, 17]}, {"full_name": ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Bases.lean | TopologicalSpace.separableSpace_iff_countable | [
407,
1
] | [
408,
48
] | [{"tactic": "simp [SeparableSpace_iff, countable_univ_iff]", "annotated_tactic": ["simp [<a>SeparableSpace_iff</a>, <a>countable_univ_iff</a>]", [{"full_name": "TopologicalSpace.SeparableSpace_iff", "def_path": "Mathlib/Topology/Bases.lean", "def_pos": [313, 3], "def_end_pos": [313, 9]}, {"full_name": "Set.countable_un... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Bornology/Basic.lean | Bornology.ext_iff_isBounded | [
247,
1
] | [
249,
41
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Filter/Basic.lean | Filter.Tendsto.not_tendsto | [
3197,
1
] | [
3199,
47
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/MetricSpace/Basic.lean | coe_nnreal_ennreal_nndist | [
324,
1
] | [
325,
26
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Logic/Equiv/List.lean | Denumerable.raise'_sorted | [
378,
1
] | [
380,
77
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/ModelTheory/Semantics.lean | FirstOrder.Language.ElementarilyEquivalent.theory_model_iff | [
1182,
1
] | [
1184,
25
] | [{"tactic": "rw [Theory.model_iff_subset_completeTheory, Theory.model_iff_subset_completeTheory,\n h.completeTheory_eq]", "annotated_tactic": ["rw [<a>Theory.model_iff_subset_completeTheory</a>, <a>Theory.model_iff_subset_completeTheory</a>,\n h.completeTheory_eq]", [{"full_name": "FirstOrder.Language.Theory.model_... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Calculus/ContDiff.lean | contDiff_update | [
1186,
1
] | [
1193,
25
] | [{"tactic": "rw [contDiff_pi]", "annotated_tactic": ["rw [<a>contDiff_pi</a>]", [{"full_name": "contDiff_pi", "def_path": "Mathlib/Analysis/Calculus/ContDiff.lean", "def_pos": [1182, 9], "def_end_pos": [1182, 20]}]], "state_before": "\ud835\udd5c : Type u_1\ninst\u271d\u00b9\u2074 : NontriviallyNormedField \ud835\udd5c... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Function/ConvergenceInMeasure.lean | MeasureTheory.tendstoInMeasure_iff_norm | [
58,
1
] | [
62,
43
] | [{"tactic": "simp_rw [TendstoInMeasure, dist_eq_norm]", "annotated_tactic": ["simp_rw [<a>TendstoInMeasure</a>, <a>dist_eq_norm</a>]", [{"full_name": "MeasureTheory.TendstoInMeasure", "def_path": "Mathlib/MeasureTheory/Function/ConvergenceInMeasure.lean", "def_pos": [53, 5], "def_end_pos": [53, 21]}, {"full_name": "dis... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Real/NNReal.lean | NNReal.coe_sub_def | [
773,
1
] | [
774,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/NumberTheory/Zsqrtd/Basic.lean | Zsqrtd.ofNat_re | [
276,
1
] | [
277,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Compare.lean | Ordering.Compares.le_total | [
108,
1
] | [
111,
33
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Bounded.lean | Set.unbounded_ge_iff_unbounded_inter_ge | [
418,
1
] | [
420,
35
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/NumberTheory/NumberField/Embeddings.lean | NumberField.ComplexEmbedding.isReal_iff | [
182,
1
] | [
182,
83
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/Valuation/Basic.lean | AddValuation.map_le_sum | [
696,
1
] | [
698,
18
] | [] |
https://github.com/leanprover/std4 | 869c615eb10130c0637a7bc038e2b80253559913 | lake-packages/std/Std/Data/Fin/Lemmas.lean | Fin.exists_fin_two | [
643,
1
] | [
644,
57
] | [] |
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