url stringclasses 3
values | commit stringclasses 3
values | file_path stringlengths 20 79 | full_name stringlengths 3 115 | start list | end list | traced_tactics stringlengths 2 997k |
|---|---|---|---|---|---|---|
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Lattice.lean | Set.sUnion_iUnion | [
1506,
1
] | [
1507,
48
] | [{"tactic": "simp only [sUnion_eq_biUnion, biUnion_iUnion]", "annotated_tactic": ["simp only [<a>sUnion_eq_biUnion</a>, <a>biUnion_iUnion</a>]", [{"full_name": "Set.sUnion_eq_biUnion", "def_path": "Mathlib/Data/Set/Lattice.lean", "def_pos": [1452, 9], "def_end_pos": [1452, 26]}, {"full_name": "Set.biUnion_iUnion", "def... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/Basis.lean | Basis.repr_support_subset_of_mem_span | [
189,
1
] | [
192,
48
] | [{"tactic": "rcases (Finsupp.mem_span_image_iff_total _).1 hm with \u27e8l, hl, rfl\u27e9", "annotated_tactic": ["rcases (<a>Finsupp.mem_span_image_iff_total</a> _).1 hm with \u27e8l, hl, rfl\u27e9", [{"full_name": "Finsupp.mem_span_image_iff_total", "def_path": "Mathlib/LinearAlgebra/Finsupp.lean", "def_pos": [695, 9]... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Convex/Basic.lean | Antitone.convex_le | [
431,
1
] | [
432,
68
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Algebra/Subalgebra/Unitization.lean | NonUnitalStarSubalgebra.unitization_apply | [
351,
1
] | [
352,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Geometry/Manifold/PartitionOfUnity.lean | SmoothBumpCovering.IsSubordinate.toSmoothPartitionOfUnity | [
471,
1
] | [
473,
38
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Geometry/Manifold/SmoothManifoldWithCorners.lean | ModelWithCorners.toLocalEquiv_coe | [
202,
1
] | [
203,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Complex/Basic.lean | Complex.ofReal_rat_cast | [
899,
1
] | [
900,
23
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Generator.lean | CategoryTheory.isDetector_iff_reflectsIsomorphisms_coyoneda_obj | [
627,
1
] | [
636,
67
] | [{"tactic": "refine'\n \u27e8fun hG => \u27e8fun f hf => hG.def _ fun h => _\u27e9, fun h =>\n (isDetector_def _).2 fun X Y f hf => _\u27e9", "annotated_tactic": ["refine'\n \u27e8fun hG => \u27e8fun f hf => hG.def _ fun h => _\u27e9, fun h =>\n (<a>isDetector_def</a> _).2 fun X Y f hf => _\u27e9", [{"full_... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/UniformSpace/UniformConvergence.lean | tendstoLocallyUniformly_iff_filter | [
766,
1
] | [
769,
63
] | [{"tactic": "simpa [\u2190 tendstoLocallyUniformlyOn_univ, \u2190 nhdsWithin_univ] using\n @tendstoLocallyUniformlyOn_iff_filter _ _ _ _ F f univ p _", "annotated_tactic": ["simpa [\u2190 <a>tendstoLocallyUniformlyOn_univ</a>, \u2190 <a>nhdsWithin_univ</a>] using\n @<a>tendstoLocallyUniformlyOn_iff_filter</a> _ _ _... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Function.lean | Set.eqOn_union | [
232,
1
] | [
233,
15
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Filter/Bases.lean | Filter.HasBasis.biInter_mem | [
820,
11
] | [
822,
17
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/HahnSeries.lean | HahnSeries.ne_zero_of_coeff_ne_zero | [
127,
1
] | [
128,
58
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/LocalProperties.lean | multiple_mem_adjoin_of_mem_localization_adjoin | [
475,
1
] | [
481,
63
] | [{"tactic": "change \u2203 t : M, t \u2022 x \u2208 Subalgebra.toSubmodule (Algebra.adjoin R s)", "annotated_tactic": ["change \u2203 t : M, t \u2022 x \u2208 <a>Subalgebra.toSubmodule</a> (<a>Algebra.adjoin</a> R s)", [{"full_name": "Subalgebra.toSubmodule", "def_path": "Mathlib/Algebra/Algebra/Subalgebra/Basic.lean",... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Complex/Basic.lean | Complex.sub_conj | [
739,
1
] | [
740,
58
] | [{"tactic": "simp [two_mul, sub_eq_add_neg, ofReal']", "annotated_tactic": ["simp [<a>two_mul</a>, <a>sub_eq_add_neg</a>, <a>ofReal'</a>]", [{"full_name": "two_mul", "def_path": "Mathlib/Algebra/Ring/Defs.lean", "def_pos": [177, 9], "def_end_pos": [177, 16]}, {"full_name": "sub_eq_add_neg", "def_path": "Mathlib/Algebra... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Integral/IntegrableOn.lean | MeasureTheory.hasFiniteIntegral_restrict_of_bounded | [
79,
1
] | [
83,
34
] | [{"tactic": "rwa [Measure.restrict_apply_univ]", "annotated_tactic": ["rwa [<a>Measure.restrict_apply_univ</a>]", [{"full_name": "MeasureTheory.Measure.restrict_apply_univ", "def_path": "Mathlib/MeasureTheory/Measure/MeasureSpace.lean", "def_pos": [1604, 9], "def_end_pos": [1604, 28]}]], "state_before": "\u03b1 : Type ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Order/Basic.lean | nhdsWithin_Iio_neBot' | [
2486,
1
] | [
2488,
65
] | [{"tactic": "rwa [closure_Iio' H\u2081]", "annotated_tactic": ["rwa [<a>closure_Iio'</a> H\u2081]", [{"full_name": "closure_Iio'", "def_path": "Mathlib/Topology/Order/Basic.lean", "def_pos": [2310, 9], "def_end_pos": [2310, 21]}]], "state_before": "\u03b1 : Type u\n\u03b2 : Type v\n\u03b3 : Type w\ninst\u271d\u00b3 : T... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Order/Hom/Esakia.lean | EsakiaHom.copy_eq | [
277,
1
] | [
278,
17
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Function/LocallyIntegrable.lean | MeasureTheory.locallyIntegrable_finset_sum' | [
320,
1
] | [
323,
30
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/NormedSpace/PiLp.lean | PiLp.nnnorm_equiv_symm_const | [
812,
1
] | [
820,
91
] | [{"tactic": "rcases p.dichotomy with (h | h)", "annotated_tactic": ["rcases p.dichotomy with (h | h)", []], "state_before": "p : \u211d\u22650\u221e\n\ud835\udd5c : Type u_1\n\ud835\udd5c' : Type u_2\n\u03b9 : Type u_3\n\u03b1 : \u03b9 \u2192 Type u_4\n\u03b2\u271d : \u03b9 \u2192 Type u_5\ninst\u271d\u2079 : Fintype \... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Function/LpSpace.lean | LipschitzWith.lipschitzWith_compLp | [
1069,
1
] | [
1071,
85
] | [{"tactic": "simp [dist_eq_norm, norm_compLp_sub_le]", "annotated_tactic": ["simp [<a>dist_eq_norm</a>, <a>norm_compLp_sub_le</a>]", [{"full_name": "dist_eq_norm", "def_path": "Mathlib/Analysis/Normed/Group/Basic.lean", "def_pos": [383, 7], "def_end_pos": [383, 19]}, {"full_name": "LipschitzWith.norm_compLp_sub_le", "d... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Order/Group/Defs.lean | inv_le_div_iff_le_mul | [
822,
1
] | [
823,
49
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/BooleanAlgebra.lean | compl_eq_iff_isCompl | [
619,
1
] | [
622,
43
] | [{"tactic": "rw [\u2190 h]", "annotated_tactic": ["rw [\u2190 h]", []], "state_before": "\u03b1 : Type u\n\u03b2 : Type u_1\nw x y z : \u03b1\ninst\u271d : BooleanAlgebra \u03b1\nh : x\u1d9c = y\n\u22a2 IsCompl x y", "state_after": "\u03b1 : Type u\n\u03b2 : Type u_1\nw x y z : \u03b1\ninst\u271d : BooleanAlgebra \u03b... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/BigOperators/Basic.lean | Fintype.prod_subsingleton | [
2025,
1
] | [
2028,
50
] | [{"tactic": "haveI : Unique \u03b1 := uniqueOfSubsingleton a", "annotated_tactic": ["haveI : <a>Unique</a> \u03b1 := <a>uniqueOfSubsingleton</a> a", [{"full_name": "Unique", "def_path": "Mathlib/Logic/Unique.lean", "def_pos": [55, 11], "def_end_pos": [55, 17]}, {"full_name": "uniqueOfSubsingleton", "def_path": "Mathlib... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Convex/Function.lean | ConvexOn.comp | [
123,
1
] | [
129,
70
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Real/Sqrt.lean | NNReal.sqrt_le_iff | [
66,
1
] | [
67,
31
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/List/AList.lean | AList.mem_of_perm | [
98,
1
] | [
99,
28
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Sites/Coverage.lean | CategoryTheory.Presieve.isSheaf_coverage | [
318,
1
] | [
386,
11
] | [{"tactic": "constructor", "annotated_tactic": ["constructor", []], "state_before": "C : Type u_1\ninst\u271d : Category.{u_2, u_1} C\nK : Coverage C\nP : C\u1d52\u1d56 \u2964 Type w\n\u22a2 IsSheaf (toGrothendieck C K) P \u2194 \u2200 {X : C} (R : Presieve X), R \u2208 covering K X \u2192 IsSheafFor P R", "state_after... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Logic/Function/Conjugate.lean | Function.Commute.comp_left | [
116,
1
] | [
117,
35
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Polynomial/FieldDivision.lean | Polynomial.mod_X_sub_C_eq_C_eval | [
230,
1
] | [
231,
75
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Image.lean | Set.preimage_range | [
1116,
1
] | [
1117,
35
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Bool/Set.lean | Bool.univ_eq | [
23,
1
] | [
24,
42
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Instances/Matrix.lean | Continuous.matrix_updateRow | [
211,
1
] | [
213,
17
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/NumberTheory/ArithmeticFunction.lean | Nat.ArithmeticFunction.coe_inj | [
103,
1
] | [
104,
20
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Real/ENNReal.lean | ENNReal.toReal_ofNat | [
736,
9
] | [
738,
15
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Basic.lean | closure_iUnion_of_finite | [
551,
1
] | [
554,
49
] | [{"tactic": "cases nonempty_fintype \u03b9", "annotated_tactic": ["cases <a>nonempty_fintype</a> \u03b9", [{"full_name": "nonempty_fintype", "def_path": "Mathlib/Data/Fintype/Card.lean", "def_pos": [442, 9], "def_end_pos": [442, 25]}]], "state_before": "\u03b1 : Type u\n\u03b2 : Type v\n\u03b9\u271d : Sort w\na : \u03b... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/MatrixAlgebra.lean | matrixEquivTensor_apply_symm | [
174,
1
] | [
176,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/List/Perm.lean | List.perm_comp_forall₂ | [
336,
1
] | [
352,
42
] | [{"tactic": "induction hlu generalizing v", "annotated_tactic": ["induction hlu generalizing v", []], "state_before": "\u03b1 : Type uu\n\u03b2 : Type vv\nl\u2081 l\u2082 : List \u03b1\n\u03b3 : Type u_1\n\u03b4 : Type u_2\nr : \u03b1 \u2192 \u03b2 \u2192 Prop\np : \u03b3 \u2192 \u03b4 \u2192 Prop\nl u : List \u03b1\nv... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Logic/Basic.lean | or_iff_not_and_not | [
478,
1
] | [
478,
80
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Logic/Equiv/Set.lean | Equiv.symm_image_image | [
78,
1
] | [
79,
35
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/AffineSpace/AffineSubspace.lean | AffineSubspace.card_pos_of_affineSpan_eq_top | [
825,
1
] | [
828,
37
] | [{"tactic": "obtain \u27e8-, \u27e8i, -\u27e9\u27e9 := nonempty_of_affineSpan_eq_top k V P h", "annotated_tactic": ["obtain \u27e8-, \u27e8i, -\u27e9\u27e9 := <a>nonempty_of_affineSpan_eq_top</a> k V P h", [{"full_name": "AffineSubspace.nonempty_of_affineSpan_eq_top", "def_path": "Mathlib/LinearAlgebra/AffineSpace/Affi... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Fintype/Basic.lean | Fin.image_castSucc | [
842,
1
] | [
844,
54
] | [{"tactic": "rw [\u2190 Fin.succAbove_last, Fin.image_succAbove_univ]", "annotated_tactic": ["rw [\u2190 <a>Fin.succAbove_last</a>, <a>Fin.image_succAbove_univ</a>]", [{"full_name": "Fin.succAbove_last", "def_path": "Mathlib/Data/Fin/Basic.lean", "def_pos": [1345, 9], "def_end_pos": [1345, 23]}, {"full_name": "Fin.imag... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Real/Hyperreal.lean | Hyperreal.gt_of_tendsto_zero_of_neg | [
209,
1
] | [
211,
85
] | [{"tactic": "rw [\u2190 neg_neg r, coe_neg]", "annotated_tactic": ["rw [\u2190 <a>neg_neg</a> r, <a>coe_neg</a>]", [{"full_name": "neg_neg", "def_path": "Mathlib/Algebra/Group/Defs.lean", "def_pos": [799, 3], "def_end_pos": [799, 14]}, {"full_name": "Hyperreal.coe_neg", "def_path": "Mathlib/Data/Real/Hyperreal.lean", "... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Algebra/Subalgebra/Tower.lean | Subalgebra.restrictScalars_injective | [
117,
1
] | [
119,
70
] | [{"tactic": "rw [\u2190 mem_restrictScalars R, H, mem_restrictScalars]", "annotated_tactic": ["rw [\u2190 <a>mem_restrictScalars</a> R, H, <a>mem_restrictScalars</a>]", [{"full_name": "Subalgebra.mem_restrictScalars", "def_path": "Mathlib/Algebra/Algebra/Subalgebra/Tower.lean", "def_pos": [113, 9], "def_end_pos": [113,... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/NormedSpace/Pointwise.lean | cthickening_ball | [
328,
1
] | [
331,
53
] | [{"tactic": "rw [\u2190 thickening_singleton, cthickening_thickening h\u03b5 h\u03b4,\n cthickening_singleton _ (add_nonneg h\u03b5 h\u03b4.le)]", "annotated_tactic": ["rw [\u2190 <a>thickening_singleton</a>, <a>cthickening_thickening</a> h\u03b5 h\u03b4,\n <a>cthickening_singleton</a> _ (<a>add_nonneg</a> h\u0... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/MetricSpace/Antilipschitz.lean | AntilipschitzWith.to_rightInverse | [
156,
1
] | [
160,
27
] | [{"tactic": "intro x y", "annotated_tactic": ["intro x y", []], "state_before": "\u03b1 : Type u_1\n\u03b2 : Type u_2\n\u03b3 : Type u_3\ninst\u271d\u00b2 : PseudoEMetricSpace \u03b1\ninst\u271d\u00b9 : PseudoEMetricSpace \u03b2\ninst\u271d : PseudoEMetricSpace \u03b3\nK : \u211d\u22650\nf : \u03b1 \u2192 \u03b2\nhf : ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Multiset/Bind.lean | Multiset.coe_product | [
246,
1
] | [
250,
7
] | [{"tactic": "dsimp only [SProd.sprod]", "annotated_tactic": ["dsimp only [<a>SProd.sprod</a>]", [{"full_name": "SProd.sprod", "def_path": "Mathlib/Data/SProd.lean", "def_pos": [29, 3], "def_end_pos": [29, 8]}]], "state_before": "\u03b1 : Type u_1\n\u03b2 : Type v\n\u03b3 : Type u_2\n\u03b4 : Type u_3\na : \u03b1\nb : \... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Algebra/Operations.lean | Submodule.one_eq_range | [
86,
1
] | [
87,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Setoid/Partition.lean | Setoid.IsPartition.pairwiseDisjoint | [
220,
1
] | [
222,
28
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Order/Floor.lean | Int.floor_neg | [
1166,
1
] | [
1167,
87
] | [{"tactic": "rw [le_neg, ceil_le, le_floor, Int.cast_neg, le_neg]", "annotated_tactic": ["rw [<a>le_neg</a>, <a>ceil_le</a>, <a>le_floor</a>, <a>Int.cast_neg</a>, <a>le_neg</a>]", [{"full_name": "le_neg", "def_path": "Mathlib/Algebra/Order/Group/OrderIso.lean", "def_pos": [59, 15], "def_end_pos": [59, 21]}, {"full_name... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/MetricSpace/Isometry.lean | Isometry.comp_continuous_iff | [
181,
1
] | [
183,
50
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Pairwise/Basic.lean | Set.pairwiseDisjoint_image_left_iff | [
398,
1
] | [
408,
83
] | [{"tactic": "refine' \u27e8fun ht x hx y hy (h : f _ _ = _) => _, fun ht x hx y hy h => _\u27e9", "annotated_tactic": ["refine' \u27e8fun ht x hx y hy (h : f _ _ = _) => _, fun ht x hx y hy h => _\u27e9", []], "state_before": "\u03b1 : Type u_1\n\u03b2 : Type u_2\n\u03b3 : Type u_3\n\u03b9 : Type u_4\n\u03b9' : Type u_... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/MetricSpace/HausdorffDistance.lean | EMetric.exists_edist_lt_of_hausdorffEdist_lt | [
306,
1
] | [
311,
17
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/Subring/Basic.lean | Subring.map_map | [
610,
1
] | [
611,
49
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/ContinuousFunction/Compact.lean | ContinuousMap.dist_le_two_norm | [
207,
1
] | [
208,
39
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/GroupTheory/OrderOfElement.lean | orderOf_eq_card_powers | [
797,
1
] | [
799,
83
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/Ray.lean | exists_nonneg_right_iff_sameRay | [
745,
1
] | [
749,
51
] | [{"tactic": "rw [SameRay.sameRay_comm]", "annotated_tactic": ["rw [<a>SameRay.sameRay_comm</a>]", [{"full_name": "SameRay.sameRay_comm", "def_path": "Mathlib/LinearAlgebra/Ray.lean", "def_pos": [99, 9], "def_end_pos": [99, 21]}]], "state_before": "R : Type u_1\ninst\u271d\u00b2 : LinearOrderedField R\nM : Type u_2\nins... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/InnerProductSpace/Basic.lean | inner_neg_left | [
629,
1
] | [
631,
7
] | [{"tactic": "rw [\u2190 neg_one_smul \ud835\udd5c x, inner_smul_left]", "annotated_tactic": ["rw [\u2190 <a>neg_one_smul</a> \ud835\udd5c x, <a>inner_smul_left</a>]", [{"full_name": "neg_one_smul", "def_path": "Mathlib/Algebra/Module/Basic.lean", "def_pos": [294, 9], "def_end_pos": [294, 21]}, {"full_name": "inner_smul... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Hom/Centroid.lean | CentroidHom.toFun_eq_coe | [
110,
1
] | [
110,
62
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Order/Basic.lean | continuousWithinAt_Ioc_iff_Iic | [
640,
1
] | [
642,
69
] | [{"tactic": "simp only [ContinuousWithinAt, nhdsWithin_Ioc_eq_nhdsWithin_Iic h]", "annotated_tactic": ["simp only [<a>ContinuousWithinAt</a>, <a>nhdsWithin_Ioc_eq_nhdsWithin_Iic</a> h]", [{"full_name": "ContinuousWithinAt", "def_path": "Mathlib/Topology/ContinuousOn.lean", "def_pos": [518, 5], "def_end_pos": [518, 23]}... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/InnerProductSpace/OfNorm.lean | InnerProductSpaceable.add_left_aux3 | [
183,
9
] | [
186,
84
] | [{"tactic": "apply eq_sub_of_add_eq", "annotated_tactic": ["apply <a>eq_sub_of_add_eq</a>", [{"full_name": "eq_sub_of_add_eq", "def_path": "Mathlib/Algebra/Group/Basic.lean", "def_pos": [756, 15], "def_end_pos": [756, 31]}]], "state_before": "\ud835\udd5c : Type u_1\ninst\u271d\u00b3 : IsROrC \ud835\udd5c\nE : Type u_2... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/Derivation/Basic.lean | Derivation.coe_neg | [
425,
1
] | [
426,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Algebra/NonUnitalSubalgebra.lean | NonUnitalSubalgebraClass.coeSubtype | [
38,
1
] | [
39,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/Finsupp.lean | Finsupp.total_onFinset | [
758,
1
] | [
765,
11
] | [{"tactic": "classical\nsimp only [Finsupp.total_apply, Finsupp.sum, Finsupp.onFinset_apply, Finsupp.support_onFinset]\nrw [Finset.sum_filter_of_ne]\nintro x _ h\ncontrapose! h\nsimp [h]", "annotated_tactic": ["classical\n simp only [<a>Finsupp.total_apply</a>, <a>Finsupp.sum</a>, <a>Finsupp.onFinset_apply</a>, <a>Fin... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Instances/Real.lean | Real.uniformContinuous_abs | [
106,
1
] | [
108,
61
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Function/LpSpace.lean | MeasureTheory.Lp.snorm'_lim_le_liminf_snorm' | [
1313,
1
] | [
1327,
97
] | [{"tactic": "rw [snorm'_lim_eq_lintegral_liminf hp_pos.le h_lim]", "annotated_tactic": ["rw [<a>snorm'_lim_eq_lintegral_liminf</a> hp_pos.le h_lim]", [{"full_name": "MeasureTheory.Lp.snorm'_lim_eq_lintegral_liminf", "def_path": "Mathlib/MeasureTheory/Function/LpSpace.lean", "def_pos": [1298, 9], "def_end_pos": [1298, 3... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/BilinearForm.lean | BilinForm.coeFn_congr | [
86,
1
] | [
87,
32
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Finset/Pointwise.lean | Finset.pow_subset_pow_of_one_mem | [
895,
1
] | [
900,
50
] | [{"tactic": "apply Nat.le_induction", "annotated_tactic": ["apply <a>Nat.le_induction</a>", [{"full_name": "Nat.le_induction", "def_path": "Mathlib/Data/Nat/Basic.lean", "def_pos": [509, 9], "def_end_pos": [509, 21]}]], "state_before": "F : Type u_1\n\u03b1 : Type u_2\n\u03b2 : Type u_3\n\u03b3 : Type u_4\ninst\u271d\u... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/SetTheory/Ordinal/FixedPoint.lean | Ordinal.le_nfpBFamily | [
269,
1
] | [
271,
21
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/GroupTheory/Complement.lean | Subgroup.IsComplement.equiv_snd_eq_one_of_mem_of_one_mem | [
410,
1
] | [
413,
87
] | [{"tactic": "ext", "annotated_tactic": ["ext", []], "state_before": "G : Type u_1\ninst\u271d : Group G\nH K : Subgroup G\nS T : Set G\nhST : IsComplement S T\nhHT : IsComplement (\u2191H) T\nhSK : IsComplement S \u2191K\ng : G\nh1 : 1 \u2208 T\nhg : g \u2208 S\n\u22a2 (\u2191(equiv hST) g).2 = { val := 1, property := ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Function/L2Space.lean | MeasureTheory.L2.norm_sq_eq_inner' | [
173,
9
] | [
182,
28
] | [{"tactic": "have h_two : (2 : \u211d\u22650\u221e).toReal = 2 := by simp", "annotated_tactic": ["have h_two : (2 : \u211d\u22650\u221e).<a>toReal</a> = 2 := by simp", [{"full_name": "ENNReal.toReal", "def_path": "Mathlib/Data/Real/ENNReal.lean", "def_pos": [168, 15], "def_end_pos": [168, 21]}]], "state_before": "\u03b... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/WittVector/Truncated.lean | WittVector.truncate_surjective | [
330,
1
] | [
331,
31
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/Subring/Basic.lean | Subring.coe_intCast | [
508,
1
] | [
509,
24
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/GroupTheory/Subgroup/Basic.lean | Group.conjugatesOfSet_subset | [
2473,
1
] | [
2475,
64
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Circular.lean | btw_cyclic_right | [
170,
1
] | [
171,
28
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/GroupTheory/Subgroup/Basic.lean | Subgroup.coe_pow | [
732,
1
] | [
733,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Logic/Equiv/LocalEquiv.lean | LocalEquiv.disjointUnion_eq_piecewise | [
1026,
1
] | [
1032,
13
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/GroupPower/Ring.lean | sq_eq_zero_iff | [
92,
1
] | [
93,
26
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/CubicDiscriminant.lean | Cubic.degree_of_d_ne_zero | [
355,
1
] | [
357,
42
] | [{"tactic": "rw [of_c_eq_zero ha hb hc, degree_C hd]", "annotated_tactic": ["rw [<a>of_c_eq_zero</a> ha hb hc, <a>degree_C</a> hd]", [{"full_name": "Cubic.of_c_eq_zero", "def_path": "Mathlib/Algebra/CubicDiscriminant.lean", "def_pos": [153, 9], "def_end_pos": [153, 21]}, {"full_name": "Polynomial.degree_C", "def_path":... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Calculus/ContDiff.lean | contDiffOn_succ_iff_deriv_of_open | [
2137,
1
] | [
2140,
71
] | [{"tactic": "rw [contDiffOn_succ_iff_derivWithin hs.uniqueDiffOn]", "annotated_tactic": ["rw [<a>contDiffOn_succ_iff_derivWithin</a> hs.uniqueDiffOn]", [{"full_name": "contDiffOn_succ_iff_derivWithin", "def_path": "Mathlib/Analysis/Calculus/ContDiff.lean", "def_pos": [2114, 9], "def_end_pos": [2114, 40]}]], "state_befo... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Init/Order/Defs.lean | not_le_of_gt | [
148,
1
] | [
149,
28
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/Ideal/QuotientOperations.lean | Ideal.quotientMap_mk | [
460,
1
] | [
462,
25
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Probability/ConditionalProbability.lean | ProbabilityTheory.cond_apply | [
102,
1
] | [
103,
90
] | [{"tactic": "rw [cond, Measure.smul_apply, Measure.restrict_apply' hms, Set.inter_comm, smul_eq_mul]", "annotated_tactic": ["rw [<a>cond</a>, <a>Measure.smul_apply</a>, <a>Measure.restrict_apply'</a> hms, <a>Set.inter_comm</a>, <a>smul_eq_mul</a>]", [{"full_name": "ProbabilityTheory.cond", "def_path": "Mathlib/Probabil... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/TypeVec.lean | TypeVec.eq_nilFun | [
433,
1
] | [
434,
20
] | [{"tactic": "ext x", "annotated_tactic": ["ext x", []], "state_before": "n : \u2115\n\u03b1 : TypeVec.{u_1} 0\n\u03b2 : TypeVec.{u_2} 0\nf : \u03b1 \u27f9 \u03b2\n\u22a2 f = nilFun", "state_after": "case a.h\nn : \u2115\n\u03b1 : TypeVec.{u_1} 0\n\u03b2 : TypeVec.{u_2} 0\nf : \u03b1 \u27f9 \u03b2\nx : Fin2 0\nx\u271d :... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/DFinsupp/Basic.lean | DFinsupp.single_sub | [
931,
1
] | [
933,
33
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Basic.lean | Filter.EventuallyEq.continuousAt | [
1727,
1
] | [
1729,
46
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Measure/MeasureSpace.lean | MeasureTheory.ae_imp_of_ae_restrict | [
2566,
1
] | [
2569,
74
] | [{"tactic": "simp only [ae_iff] at h \u22a2", "annotated_tactic": ["simp only [<a>ae_iff</a>] at h \u22a2", [{"full_name": "MeasureTheory.ae_iff", "def_path": "Mathlib/MeasureTheory/Measure/MeasureSpaceDef.lean", "def_pos": [388, 9], "def_end_pos": [388, 15]}]], "state_before": "\u03b1 : Type u_1\n\u03b2 : Type u_2\n\u... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/GroupTheory/Submonoid/Operations.lean | Submonoid.mrange_snd | [
1323,
1
] | [
1324,
69
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/AddTorsor.lean | Prod.snd_vadd | [
309,
1
] | [
310,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/GroupTheory/Finiteness.lean | Submonoid.FG.map_injective | [
152,
1
] | [
161,
38
] | [{"tactic": "obtain \u27e8s, hs\u27e9 := h", "annotated_tactic": ["obtain \u27e8s, hs\u27e9 := h", []], "state_before": "M : Type u_1\nN : Type u_2\ninst\u271d\u00b2 : Monoid M\ninst\u271d\u00b9 : AddMonoid N\nM' : Type u_3\ninst\u271d : Monoid M'\nP : Submonoid M\ne : M \u2192* M'\nhe : Function.Injective \u2191e\nh :... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Combinatorics/Additive/PluenneckeRuzsa.lean | Finset.card_pow_div_pow_le | [
216,
1
] | [
232,
33
] | [{"tactic": "have hA' : A \u2208 A.powerset.erase \u2205 := mem_erase_of_ne_of_mem hA.ne_empty (mem_powerset_self _)", "annotated_tactic": ["have hA' : A \u2208 A.powerset.erase \u2205 := <a>mem_erase_of_ne_of_mem</a> hA.ne_empty (<a>mem_powerset_self</a> _)", [{"full_name": "Finset.mem_erase_of_ne_of_mem", "def_path":... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/PFunctor/Univariate/M.lean | PFunctor.Approx.P_corec | [
129,
1
] | [
135,
13
] | [{"tactic": "induction' n with n n_ih generalizing i", "annotated_tactic": ["induction' n with n n_ih generalizing i", []], "state_before": "F : PFunctor.{u}\nX : Type w\nf : X \u2192 \u2191F X\ni : X\nn : \u2115\n\u22a2 Agree (sCorec f i n) (sCorec f i (succ n))", "state_after": "case zero\nF : PFunctor.{u}\nX : Type ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Basic.lean | continuous_iff_isClosed | [
1747,
1
] | [
1749,
49
] | [{"tactic": "simp only [isOpen_compl_iff, preimage_compl]", "annotated_tactic": ["simp only [<a>isOpen_compl_iff</a>, <a>preimage_compl</a>]", [{"full_name": "isOpen_compl_iff", "def_path": "Mathlib/Topology/Basic.lean", "def_pos": [205, 17], "def_end_pos": [205, 33]}, {"full_name": "Set.preimage_compl", "def_path": "M... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Order/Floor.lean | Int.fract_sub_ofNat | [
910,
1
] | [
911,
20
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Matrix/Basic.lean | Matrix.submatrix_map | [
2468,
1
] | [
2470,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/SpecialFunctions/Trigonometric/Deriv.lean | Real.sinh_nonpos_iff | [
706,
1
] | [
706,
98
] | [{"tactic": "simpa only [sinh_zero] using @sinh_le_sinh x 0", "annotated_tactic": ["simpa only [<a>sinh_zero</a>] using @<a>sinh_le_sinh</a> x 0", [{"full_name": "Real.sinh_zero", "def_path": "Mathlib/Data/Complex/Exponential.lean", "def_pos": [1347, 9], "def_end_pos": [1347, 18]}, {"full_name": "Real.sinh_le_sinh", "d... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Computability/RegularExpressions.lean | RegularExpression.deriv_char_of_ne | [
194,
1
] | [
195,
11
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/SpecialFunctions/Pow/Real.lean | Complex.abs_cpow_le | [
273,
1
] | [
277,
77
] | [{"tactic": "rcases ne_or_eq z 0 with (hz | rfl) <;> [exact (abs_cpow_of_ne_zero hz w).le; rw [map_zero]]", "annotated_tactic": ["rcases <a>ne_or_eq</a> z 0 with (hz | rfl) <;> [exact (<a>abs_cpow_of_ne_zero</a> hz w).<a>le</a>; rw [<a>map_zero</a>]]", [{"full_name": "ne_or_eq", "def_path": "Mathlib/Logic/Basic.lean", ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Adjunction/Basic.lean | CategoryTheory.Adjunction.homEquiv_naturality_right_symm | [
170,
1
] | [
173,
80
] | [{"tactic": "rw [Equiv.symm_apply_eq]", "annotated_tactic": ["rw [<a>Equiv.symm_apply_eq</a>]", [{"full_name": "Equiv.symm_apply_eq", "def_path": "Mathlib/Logic/Equiv/Defs.lean", "def_pos": [327, 9], "def_end_pos": [327, 22]}]], "state_before": "C : Type u\u2081\ninst\u271d\u00b9 : Category.{v\u2081, u\u2081} C\nD : Ty... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Algebra/Hom.lean | AlgHom.coe_comp | [
333,
1
] | [
334,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Hom/Lattice.lean | SupBotHom.symm_dual_comp | [
1456,
1
] | [
1459,
6
] | [] |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.