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/Bornology/Basic.lean | Bornology.IsBounded.insert | [
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30
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/List/Basic.lean | List.reduceOption_mem_iff | [
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/GroupTheory/CoprodI.lean | Monoid.CoprodI.Word.fstIdx_cons | [
390,
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391,
64
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/MonoidAlgebra/Basic.lean | MonoidAlgebra.domCongr_single | [
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Algebra/Module/Basic.lean | ContinuousLinearMap.coe_pi' | [
1287,
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1288,
6
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Tropical/Basic.lean | Tropical.add_eq_zero_iff | [
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/MetricSpace/Dilation.lean | Dilation.ratio_one | [
375,
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375,
63
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/MetricSpace/PiNat.lean | PiNat.cylinder_longestPrefix_eq_of_longestPrefix_lt_firstDiff | [
569,
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Finset/Pointwise.lean | Finset.card_dvd_card_smul_right | [
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Filter/Basic.lean | Filter.mem_top | [
466,
1
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467,
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Complex/Basic.lean | Complex.abs_ofReal | [
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/SetTheory/Cardinal/Basic.lean | Cardinal.zero_le | [
661,
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30
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Matrix/Basic.lean | Matrix.dotProduct_comp_equiv_symm | [
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Real/Basic.lean | Real.cauchy_neg | [
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Star/Pointwise.lean | Set.star_preimage | [
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Geometry/Manifold/ContMDiff.lean | smoothAt_iff_target | [
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/FreeAlgebra.lean | FreeAlgebra.ι_comp_lift | [
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/BigOperators/Finprod.lean | finprod_eq_zero | [
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Finset/Lattice.lean | Finset.le_min | [
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1396,
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https://github.com/leanprover/std4 | 869c615eb10130c0637a7bc038e2b80253559913 | lake-packages/std/Std/Data/Nat/Lemmas.lean | Nat.min_succ_succ | [
482,
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483,
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Algebra/Group/Basic.lean | TopologicalGroup.t1Space | [
1473,
1
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/UpperLower/Basic.lean | UpperSet.mem_bot | [
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620,
10
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/SetTheory/Ordinal/Notation.lean | ONote.fastGrowing_zero | [
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1195,
26
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/List/Zip.lean | List.zipWith_comm_of_comm | [
227,
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] | [{"tactic": "rw [zipWith_comm]", "annotated_tactic": ["rw [<a>zipWith_comm</a>]", [{"full_name": "List.zipWith_comm", "def_path": "Mathlib/Data/List/Zip.lean", "def_pos": [212, 9], "def_end_pos": [212, 21]}]], "state_before": "\u03b1 : Type u\n\u03b2 : Type u_1\n\u03b3 : Type u_2\n\u03b4 : Type u_3\n\u03b5 : Type u_4\n... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Geometry/Manifold/MFDeriv.lean | MDifferentiableOn.continuousOn | [
725,
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42
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/TensorAlgebra/Basic.lean | TensorAlgebra.ι_range_disjoint_one | [
309,
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] | [
315,
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] | [{"tactic": "rw [Submodule.disjoint_def]", "annotated_tactic": ["rw [<a>Submodule.disjoint_def</a>]", [{"full_name": "Submodule.disjoint_def", "def_path": "Mathlib/Algebra/Module/Submodule/Lattice.lean", "def_pos": [370, 9], "def_end_pos": [370, 21]}]], "state_before": "R : Type u_1\ninst\u271d\u00b2 : CommSemiring R\n... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Limits/Preserves/Limits.lean | CategoryTheory.preservesLimitsIso_hom_π | [
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63,
48
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/IsLocallyHomeomorph.lean | IsLocallyHomeomorph.isOpenMap | [
179,
11
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180,
60
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Limits/Shapes/Multiequalizer.lean | CategoryTheory.Limits.MulticospanIndex.multicospan_obj_right | [
198,
1
] | [
199,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Monoidal/Rigid/Basic.lean | CategoryTheory.tensorRightHomEquiv_symm_coevaluation_comp_tensor_id | [
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Calculus/FDeriv/Basic.lean | DifferentiableWithinAt.mono_of_mem | [
626,
1
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628,
63
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Num/Lemmas.lean | PosNum.of_to_nat | [
524,
1
] | [
525,
13
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Combinatorics/Configuration.lean | Configuration.ProjectivePlane.pointCount_eq | [
457,
1
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458,
80
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Complex/PhragmenLindelof.lean | PhragmenLindelof.eq_zero_on_quadrant_I | [
428,
1
] | [
435,
61
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/BigOperators/Finprod.lean | finprod_eq_finset_prod_of_mulSupport_subset | [
407,
1
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411,
55
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Limits/Shapes/Multiequalizer.lean | CategoryTheory.Limits.Multicofork.ofSigmaCofork_ι_app_right' | [
662,
1
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6
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Abelian/LeftDerived.lean | CategoryTheory.Abelian.Functor.leftDerivedZeroToSelfAppInv_comp | [
125,
1
] | [
146,
85
] | [{"tactic": "dsimp [leftDerivedZeroToSelfApp, leftDerivedZeroToSelfAppInv]", "annotated_tactic": ["dsimp [<a>leftDerivedZeroToSelfApp</a>, <a>leftDerivedZeroToSelfAppInv</a>]", [{"full_name": "CategoryTheory.Abelian.Functor.leftDerivedZeroToSelfApp", "def_path": "Mathlib/CategoryTheory/Abelian/LeftDerived.lean", "def_p... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/GroupTheory/Sylow.lean | card_sylow_modEq_one | [
324,
1
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338,
75
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Control/Functor.lean | Functor.Comp.run_pure | [
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11
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13
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Intervals/WithBotTop.lean | WithBot.image_coe_Iic | [
201,
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202,
95
] | [{"tactic": "rw [\u2190 preimage_coe_Iic, image_preimage_eq_inter_range, range_coe, inter_comm, Ioi_inter_Iic]", "annotated_tactic": ["rw [\u2190 <a>preimage_coe_Iic</a>, <a>image_preimage_eq_inter_range</a>, <a>range_coe</a>, <a>inter_comm</a>, <a>Ioi_inter_Iic</a>]", [{"full_name": "WithBot.preimage_coe_Iic", "def_pa... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Geometry/Euclidean/Angle/Unoriented/RightAngle.lean | InnerProductGeometry.norm_div_tan_angle_sub_of_inner_eq_zero | [
347,
1
] | [
351,
80
] | [{"tactic": "rw [\u2190 neg_eq_zero, \u2190 inner_neg_right] at h", "annotated_tactic": ["rw [\u2190 <a>neg_eq_zero</a>, \u2190 <a>inner_neg_right</a>] at h", [{"full_name": "neg_eq_zero", "def_path": "Mathlib/Algebra/Group/Basic.lean", "def_pos": [422, 3], "def_end_pos": [422, 14]}, {"full_name": "inner_neg_right", "d... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Hom/Group/Basic.lean | MonoidHom.inv_comp | [
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/TensorProduct.lean | TensorProduct.tmul_sub | [
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1
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27
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Group/FundamentalDomain.lean | MeasureTheory.IsFundamentalDomain.set_lintegral_eq | [
330,
11
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336,
66
] | [{"tactic": "simp only [hf, inter_comm]", "annotated_tactic": ["simp only [hf, <a>inter_comm</a>]", [{"full_name": "Set.inter_comm", "def_path": "Mathlib/Data/Set/Basic.lean", "def_pos": [940, 9], "def_end_pos": [940, 19]}]], "state_before": "G : Type u_1\nH : Type u_2\n\u03b1 : Type u_3\n\u03b2 : Type u_4\nE : Type u_... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Hom/Lattice.lean | SupHom.id_comp | [
421,
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421,
75
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Calculus/FDeriv/Prod.lean | hasFDerivWithinAt_snd | [
264,
1
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266,
24
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/SpecialFunctions/Trigonometric/Arctan.lean | Real.tan_add' | [
37,
1
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40,
21
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/AffineSpace/AffineMap.lean | AffineMap.homothety_mul | [
816,
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818,
37
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Basic.lean | Set.mem_inter_iff | [
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910,
10
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/GroupTheory/NoncommPiCoprod.lean | Subgroup.injective_noncommPiCoprod_of_independent | [
323,
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328,
32
] | [{"tactic": "apply MonoidHom.injective_noncommPiCoprod_of_independent", "annotated_tactic": ["apply <a>MonoidHom.injective_noncommPiCoprod_of_independent</a>", [{"full_name": "MonoidHom.injective_noncommPiCoprod_of_independent", "def_path": "Mathlib/GroupTheory/NoncommPiCoprod.lean", "def_pos": [216, 9], "def_end_pos":... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Calculus/ContDiff.lean | contDiffOn_prod' | [
1460,
1
] | [
1461,
99
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Order/Floor.lean | round_ofNat_add | [
1490,
1
] | [
1492,
20
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/GroupPower/Lemmas.lean | Commute.cast_int_mul_self | [
1166,
1
] | [
1167,
39
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/List/Cycle.lean | List.next_singleton | [
146,
1
] | [
147,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/GroupTheory/MonoidLocalization.lean | Submonoid.LocalizationMap.map_spec | [
1168,
1
] | [
1169,
52
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/InnerProductSpace/Calculus.lean | Differentiable.dist | [
283,
1
] | [
285,
31
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Algebra/Subalgebra/Basic.lean | Subalgebra.multiset_prod_mem | [
177,
11
] | [
179,
24
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Intervals/Basic.lean | Set.Ico_union_Icc_eq_Icc | [
1559,
1
] | [
1562,
29
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/UniqueFactorizationDomain.lean | support_factorization | [
2011,
1
] | [
2013,
51
] | [{"tactic": "simp [factorization, Multiset.toFinsupp_support]", "annotated_tactic": ["simp [<a>factorization</a>, <a>Multiset.toFinsupp_support</a>]", [{"full_name": "factorization", "def_path": "Mathlib/RingTheory/UniqueFactorizationDomain.lean", "def_pos": [1993, 19], "def_end_pos": [1993, 32]}, {"full_name": "Multis... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/SpecialFunctions/Trigonometric/Deriv.lean | ContDiff.csinh | [
551,
1
] | [
552,
31
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Sites/InducedTopology.lean | CategoryTheory.CoverDense.locallyCoverDense | [
112,
1
] | [
119,
7
] | [{"tactic": "intro X T", "annotated_tactic": ["intro X T", []], "state_before": "C : Type u_1\ninst\u271d\u00b3 : Category.{u_3, u_1} C\nD : Type u_2\ninst\u271d\u00b2 : Category.{u_4, u_2} D\nG : C \u2964 D\nJ : GrothendieckTopology C\nK : GrothendieckTopology D\nA : Type v\ninst\u271d\u00b9 : Category.{u, v} A\ninst\... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RepresentationTheory/Action.lean | Action.tensorUnit_rho | [
489,
1
] | [
490,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/GroupTheory/Perm/Fin.lean | Fin.cycleRange_symm_succ | [
287,
1
] | [
289,
35
] | [{"tactic": "simp", "annotated_tactic": ["simp", []], "state_before": "n : \u2115\ni : Fin (n + 1)\nj : Fin n\n\u22a2 \u2191(cycleRange i) (\u2191(cycleRange i).symm (succ j)) = \u2191(cycleRange i) (succAbove i j)", "state_after": "no goals"}] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/SetTheory/Game/Birthday.lean | SetTheory.PGame.Relabelling.birthday_congr | [
80,
1
] | [
92,
46
] | [{"tactic": "unfold birthday", "annotated_tactic": ["unfold <a>birthday</a>", [{"full_name": "SetTheory.PGame.birthday", "def_path": "Mathlib/SetTheory/Game/Birthday.lean", "def_pos": [42, 19], "def_end_pos": [42, 27]}]], "state_before": "xl xr : Type u\nxL : xl \u2192 PGame\nxR : xr \u2192 PGame\nyl yr : Type u\nyL : ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Category/TopCat/Opens.lean | TopologicalSpace.Opens.functor_map_eq_inf | [
388,
1
] | [
393,
6
] | [{"tactic": "ext1", "annotated_tactic": ["ext1", []], "state_before": "X : TopCat\nU V : Opens \u2191X\n\u22a2 (IsOpenMap.functor (_ : IsOpenMap \u2191(inclusion U))).obj ((map (inclusion U)).obj V) = V \u2293 U", "state_after": "case h\nX : TopCat\nU V : Opens \u2191X\n\u22a2 \u2191((IsOpenMap.functor (_ : IsOpenMap \... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/SpecialFunctions/Log/Base.lean | Real.logb_nonpos_iff | [
235,
1
] | [
236,
44
] | [{"tactic": "rw [\u2190 not_lt, logb_pos_iff hb hx, not_lt]", "annotated_tactic": ["rw [\u2190 <a>not_lt</a>, <a>logb_pos_iff</a> hb hx, <a>not_lt</a>]", [{"full_name": "not_lt", "def_path": "Mathlib/Init/Order/Defs.lean", "def_pos": [368, 9], "def_end_pos": [368, 15]}, {"full_name": "Real.logb_pos_iff", "def_path": "M... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Fintype/Sum.lean | Fintype.card_subtype_or_disjoint | [
126,
1
] | [
131,
9
] | [{"tactic": "classical\n convert Fintype.card_congr (subtypeOrEquiv p q h)\n simp", "annotated_tactic": ["classical\n convert <a>Fintype.card_congr</a> (<a>subtypeOrEquiv</a> p q h)\n simp", [{"full_name": "Fintype.card_congr", "def_path": "Mathlib/Data/Fintype/Card.lean", "def_pos": [149, 9], "def_end_pos": [1... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Convex/Cone/Proper.lean | ProperCone.mem_zero | [
165,
1
] | [
166,
10
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Algebra/Module/StrongTopology.lean | ContinuousLinearMap.strongTopology.continuousSMul | [
137,
1
] | [
149,
39
] | [{"tactic": "letI : UniformSpace F := TopologicalAddGroup.toUniformSpace F", "annotated_tactic": ["letI : <a>UniformSpace</a> F := <a>TopologicalAddGroup.toUniformSpace</a> F", [{"full_name": "UniformSpace", "def_path": "Mathlib/Topology/UniformSpace/Basic.lean", "def_pos": [305, 7], "def_end_pos": [305, 19]}, {"full_n... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Calculus/ContDiffDef.lean | contDiffAt_top | [
1339,
1
] | [
1340,
55
] | [{"tactic": "simp [\u2190 contDiffWithinAt_univ, contDiffWithinAt_top]", "annotated_tactic": ["simp [\u2190 <a>contDiffWithinAt_univ</a>, <a>contDiffWithinAt_top</a>]", [{"full_name": "contDiffWithinAt_univ", "def_path": "Mathlib/Analysis/Calculus/ContDiffDef.lean", "def_pos": [1335, 9], "def_end_pos": [1335, 30]}, {"f... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/SetTheory/Game/PGame.lean | SetTheory.PGame.Subsequent.mk_right' | [
309,
1
] | [
311,
15
] | [{"tactic": "pgame_wf_tac", "annotated_tactic": ["pgame_wf_tac", []], "state_before": "xl xr : Type u_1\nxL : xl \u2192 PGame\nxR : xr \u2192 PGame\nj : RightMoves (mk xl xr xL xR)\n\u22a2 Subsequent (xR j) (mk xl xr xL xR)", "state_after": "no goals"}] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Intervals/Image.lean | Set.image_subtype_val_Icc_subset | [
249,
1
] | [
251,
36
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Normed/Group/HomCompletion.lean | NormedAddCommGroup.denseRange_toCompl | [
150,
1
] | [
151,
37
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/AdjoinRoot.lean | AdjoinRoot.coe_liftHom | [
309,
1
] | [
311,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Bounded.lean | Set.bounded_gt_inter_not_gt | [
426,
1
] | [
428,
37
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/FreeAlgebra.lean | FreeAlgebra.lift_symm_apply | [
403,
1
] | [
405,
6
] | [{"tactic": "rw [lift]", "annotated_tactic": ["rw [<a>lift</a>]", [{"full_name": "FreeAlgebra.lift", "def_path": "Mathlib/Algebra/FreeAlgebra.lean", "def_pos": [365, 5], "def_end_pos": [365, 9]}]], "state_before": "R : Type u_1\ninst\u271d\u00b2 : CommSemiring R\nX : Type u_2\nA : Type u_3\ninst\u271d\u00b9 : Semiring ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Order/ToIntervalMod.lean | AddCommGroup.modEq_iff_not_forall_mem_Ioo_mod | [
642,
1
] | [
644,
30
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/ConditionallyCompleteLattice/Basic.lean | le_csInf_iff'' | [
1225,
1
] | [
1227,
41
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/LocallyConvex/Basic.lean | Absorbs.neg | [
216,
1
] | [
218,
101
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Limits/Fubini.lean | CategoryTheory.Limits.limitCurrySwapCompLimIsoLimitCurryCompLim_inv_π_π | [
332,
1
] | [
340,
7
] | [{"tactic": "dsimp [limitCurrySwapCompLimIsoLimitCurryCompLim]", "annotated_tactic": ["dsimp [<a>limitCurrySwapCompLimIsoLimitCurryCompLim</a>]", [{"full_name": "CategoryTheory.Limits.limitCurrySwapCompLimIsoLimitCurryCompLim", "def_path": "Mathlib/CategoryTheory/Limits/Fubini.lean", "def_pos": [303, 19], "def_end_pos"... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Real/CauSeq.lean | CauSeq.rat_sup_continuous_lemma | [
812,
1
] | [
814,
59
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Probability/Process/HittingTime.lean | MeasureTheory.stoppedValue_hitting_mem | [
244,
1
] | [
251,
15
] | [{"tactic": "simp only [stoppedValue, hitting, if_pos h]", "annotated_tactic": ["simp only [<a>stoppedValue</a>, <a>hitting</a>, <a>if_pos</a> h]", [{"full_name": "MeasureTheory.stoppedValue", "def_path": "Mathlib/Probability/Process/Stopping.lean", "def_pos": [768, 5], "def_end_pos": [768, 17]}, {"full_name": "Measure... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Seq/Computation.lean | Computation.mem_bind | [
799,
1
] | [
803,
27
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Filter/AtTopBot.lean | Function.Injective.map_atTop_finset_prod_eq | [
2067,
1
] | [
2082,
62
] | [{"tactic": "haveI := Classical.decEq \u03b2", "annotated_tactic": ["haveI := <a>Classical.decEq</a> \u03b2", [{"full_name": "Classical.decEq", "def_path": "Mathlib/Logic/Basic.lean", "def_pos": [983, 19], "def_end_pos": [983, 24]}]], "state_before": "\u03b9 : Type u_1\n\u03b9' : Type u_2\n\u03b1 : Type u_3\n\u03b2 : T... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Num/Lemmas.lean | Num.cast_sub' | [
1218,
1
] | [
1222,
43
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/FinitePresentation.lean | Algebra.FinitePresentation.ker_fG_of_surjective | [
386,
1
] | [
391,
96
] | [{"tactic": "obtain \u27e8n, g, hg, _\u27e9 := hRA", "annotated_tactic": ["obtain \u27e8n, g, hg, _\u27e9 := hRA", []], "state_before": "R : Type w\u2081\nA : Type w\u2082\nB : Type w\u2083\ninst\u271d\u2074 : CommRing R\ninst\u271d\u00b3 : CommRing A\ninst\u271d\u00b2 : Algebra R A\ninst\u271d\u00b9 : CommRing B\ninst... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Group/Commute/Defs.lean | Commute.symm_iff | [
73,
11
] | [
74,
31
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/RelClasses.lean | Subsingleton.isWellOrder | [
477,
1
] | [
482,
78
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Computability/EpsilonNFA.lean | εNFA.pumping_lemma | [
164,
1
] | [
168,
32
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/MeasurableSpace/Basic.lean | Measurable.subtype_map | [
622,
1
] | [
624,
46
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Function/LpSpace.lean | MeasureTheory.norm_indicatorConstLp_le | [
782,
1
] | [
789,
58
] | [{"tactic": "rw [indicatorConstLp, Lp.norm_toLp]", "annotated_tactic": ["rw [<a>indicatorConstLp</a>, <a>Lp.norm_toLp</a>]", [{"full_name": "MeasureTheory.indicatorConstLp", "def_path": "Mathlib/MeasureTheory/Function/LpSpace.lean", "def_pos": [744, 5], "def_end_pos": [744, 21]}, {"full_name": "MeasureTheory.Lp.norm_to... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Probability/Martingale/Upcrossing.lean | MeasureTheory.lowerCrossingTime_stabilize | [
269,
1
] | [
271,
94
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Complex/Exponential.lean | Real.cos_sq' | [
1299,
1
] | [
1299,
94
] | [{"tactic": "rw [\u2190 sin_sq_add_cos_sq x, add_sub_cancel']", "annotated_tactic": ["rw [\u2190 <a>sin_sq_add_cos_sq</a> x, <a>add_sub_cancel'</a>]", [{"full_name": "Real.sin_sq_add_cos_sq", "def_path": "Mathlib/Data/Complex/Exponential.lean", "def_pos": [1243, 16], "def_end_pos": [1243, 33]}, {"full_name": "add_sub_c... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Polynomial/Degree/Definitions.lean | Polynomial.coeff_mul_degree_add_degree | [
915,
1
] | [
947,
34
] | [{"tactic": "refine' Finset.sum_eq_single (natDegree p, natDegree q) _ _", "annotated_tactic": ["refine' <a>Finset.sum_eq_single</a> (<a>natDegree</a> p, <a>natDegree</a> q) _ _", [{"full_name": "Finset.sum_eq_single", "def_path": "Mathlib/Algebra/BigOperators/Basic.lean", "def_pos": [798, 3], "def_end_pos": [798, 14]}... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/NumberTheory/ZetaFunction.lean | riemannCompletedZeta₀_one_sub | [
644,
1
] | [
655,
7
] | [{"tactic": "have := mellin_comp_rpow zetaKernel\u2082 (s / 2 - 1 / 2) neg_one_lt_zero.ne", "annotated_tactic": ["have := <a>mellin_comp_rpow</a> <a>zetaKernel\u2082</a> (s / 2 - 1 / 2) neg_one_lt_zero.ne", [{"full_name": "mellin_comp_rpow", "def_path": "Mathlib/Analysis/MellinTransform.lean", "def_pos": [126, 9], "def... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/GroupTheory/GroupAction/SubMulAction.lean | SubMulAction.neg_mem | [
384,
1
] | [
386,
24
] | [{"tactic": "rw [\u2190 neg_one_smul R]", "annotated_tactic": ["rw [\u2190 <a>neg_one_smul</a> R]", [{"full_name": "neg_one_smul", "def_path": "Mathlib/Algebra/Module/Basic.lean", "def_pos": [294, 9], "def_end_pos": [294, 21]}]], "state_before": "S : Type u'\nT : Type u''\nR : Type u\nM : Type v\ninst\u271d\u00b2 : Rin... |
https://github.com/leanprover/std4 | 869c615eb10130c0637a7bc038e2b80253559913 | lake-packages/std/Std/Data/Int/Lemmas.lean | Int.neg_add_le_of_le_add | [
981,
11
] | [
983,
37
] | [{"tactic": "have h := Int.add_le_add_left h (-b)", "annotated_tactic": ["have h := <a>Int.add_le_add_left</a> h (-b)", [{"full_name": "Int.add_le_add_left", "def_path": "lake-packages/std/Std/Data/Int/Lemmas.lean", "def_pos": [751, 19], "def_end_pos": [751, 34]}]], "state_before": "a b c : Int\nh : a \u2264 b + c\n\u2... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Cover.lean | Eq.wcovby | [
58,
11
] | [
59,
17
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Finset/Pointwise.lean | Finset.mul_add_subset | [
1071,
1
] | [
1072,
37
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/LinearIndependent.lean | linearIndependent_iUnion_of_directed | [
458,
1
] | [
469,
17
] | [{"tactic": "by_cases h\u03b7 : Nonempty \u03b7", "annotated_tactic": ["by_cases h\u03b7 : <a>Nonempty</a> \u03b7", [{"full_name": "Nonempty", "def_path": "lake-packages/lean4/src/lean/Init/Prelude.lean", "def_pos": [686, 17], "def_end_pos": [686, 25]}]], "state_before": "\u03b9 : Type u'\n\u03b9' : Type u_1\nR : Type ... |
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