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/FieldTheory/RatFunc.lean | RatFunc.ofFractionRing_inv | [
411,
1
] | [
413,
35
] | [{"tactic": "simp only [Inv.inv, RatFunc.inv]", "annotated_tactic": ["simp only [<a>Inv.inv</a>, <a>RatFunc.inv</a>]", [{"full_name": "Inv.inv", "def_path": "Mathlib/Algebra/Group/Defs.lean", "def_pos": [109, 3], "def_end_pos": [109, 6]}, {"full_name": "RatFunc.inv", "def_path": "Mathlib/FieldTheory/RatFunc.lean", "def... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Module/Torsion.lean | Submodule.coe_torsion_eq_annihilator_ne_bot | [
692,
1
] | [
699,
93
] | [{"tactic": "ext x", "annotated_tactic": ["ext x", []], "state_before": "R : Type u_1\nM : Type u_2\ninst\u271d\u2074 : CommSemiring R\ninst\u271d\u00b3 : AddCommMonoid M\ninst\u271d\u00b2 : Module R M\ninst\u271d\u00b9 : NoZeroDivisors R\ninst\u271d : Nontrivial R\n\u22a2 \u2191(torsion R M) = {x | annihilator (span R... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/LocallyConstant/Basic.lean | IsLocallyConstant.isClopen_fiber | [
76,
1
] | [
77,
43
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/NormedSpace/LinearIsometry.lean | LinearIsometry.map_zero | [
200,
11
] | [
201,
25
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/UpperLower/Basic.lean | UpperSet.Ici_sSup | [
1230,
1
] | [
1231,
77
] | [{"tactic": "simp only [mem_Ici_iff, mem_iSup_iff, sSup_le_iff]", "annotated_tactic": ["simp only [<a>mem_Ici_iff</a>, <a>mem_iSup_iff</a>, <a>sSup_le_iff</a>]", [{"full_name": "UpperSet.mem_Ici_iff", "def_path": "Mathlib/Order/UpperLower/Basic.lean", "def_pos": [1167, 9], "def_end_pos": [1167, 20]}, {"full_name": "Upp... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/GroupTheory/Subgroup/Basic.lean | abs_mem_iff | [
136,
9
] | [
138,
34
] | [{"tactic": "cases abs_choice x <;> simp [*]", "annotated_tactic": ["cases <a>abs_choice</a> x <;> simp [*]", [{"full_name": "abs_choice", "def_path": "Mathlib/Algebra/Order/Group/Abs.lean", "def_pos": [45, 9], "def_end_pos": [45, 19]}]], "state_before": "G\u271d : Type u_1\nG' : Type u_2\nG'' : Type u_3\ninst\u271d\u2... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/FieldTheory/IntermediateField.lean | IntermediateField.eq_of_le_of_finrank_eq' | [
711,
1
] | [
713,
44
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/InnerProductSpace/OfNorm.lean | InnerProductSpaceable.nat_prop | [
252,
9
] | [
253,
43
] | [{"tactic": "simp only [map_natCast]", "annotated_tactic": ["simp only [<a>map_natCast</a>]", [{"full_name": "map_natCast", "def_path": "Mathlib/Data/Nat/Cast/Basic.lean", "def_pos": [136, 9], "def_end_pos": [136, 20]}]], "state_before": "\ud835\udd5c : Type u_1\ninst\u271d\u00b3 : IsROrC \ud835\udd5c\nE : Type u_2\nin... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/Ideal/LocalRing.lean | LocalRing.isUnit_of_mem_nonunits_one_sub_self | [
173,
1
] | [
174,
61
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Antichain.lean | isAntichain_and_least_iff | [
221,
1
] | [
224,
58
] | [{"tactic": "rintro rfl", "annotated_tactic": ["rintro rfl", []], "state_before": "\u03b1 : Type u_1\n\u03b2 : Type u_2\nr r\u2081 r\u2082 : \u03b1 \u2192 \u03b1 \u2192 Prop\nr' : \u03b2 \u2192 \u03b2 \u2192 Prop\ns t : Set \u03b1\na b : \u03b1\ninst\u271d : Preorder \u03b1\n\u22a2 s = {a} \u2192 IsAntichain (fun x x_1... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Hom/Open.lean | ContinuousOpenMap.cancel_left | [
161,
1
] | [
163,
81
] | [{"tactic": "rw [\u2190 comp_apply, h, comp_apply]", "annotated_tactic": ["rw [\u2190 <a>comp_apply</a>, h, <a>comp_apply</a>]", [{"full_name": "ContinuousOpenMap.comp_apply", "def_path": "Mathlib/Topology/Hom/Open.lean", "def_pos": [134, 9], "def_end_pos": [134, 19]}, {"full_name": "ContinuousOpenMap.comp_apply", "def... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/ModularLattice.lean | IsModularLattice.inf_sup_inf_assoc | [
211,
1
] | [
212,
44
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Combinatorics/SimpleGraph/Regularity/Bound.lean | SzemerediRegularity.coe_m_add_one_pos | [
117,
1
] | [
117,
61
] | [{"tactic": "positivity", "annotated_tactic": ["positivity", []], "state_before": "\u03b1 : Type u_1\ninst\u271d\u00b9 : DecidableEq \u03b1\ninst\u271d : Fintype \u03b1\nP : Finpartition univ\nu : Finset \u03b1\n\u03b5 : \u211d\n\u22a2 0 < \u2191(Fintype.card \u03b1 / stepBound (Finset.card P.parts)) + 1", "state_after... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Lie/Submodule.lean | lie_mem_left | [
236,
1
] | [
237,
62
] | [{"tactic": "rw [\u2190 lie_skew, \u2190 neg_lie]", "annotated_tactic": ["rw [\u2190 <a>lie_skew</a>, \u2190 <a>neg_lie</a>]", [{"full_name": "lie_skew", "def_path": "Mathlib/Algebra/Lie/Basic.lean", "def_pos": [156, 9], "def_end_pos": [156, 17]}, {"full_name": "neg_lie", "def_path": "Mathlib/Algebra/Lie/Basic.lean", "... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Opposites.lean | CategoryTheory.NatTrans.rightOp_comp | [
408,
1
] | [
410,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/Ideal/MinimalPrime.lean | Ideal.minimal_primes_comap_of_surjective | [
166,
1
] | [
176,
38
] | [{"tactic": "have := h.1.1", "annotated_tactic": ["have := h.1.1", []], "state_before": "R : Type u_1\nS : Type u_2\ninst\u271d\u00b9 : CommRing R\ninst\u271d : CommRing S\nI\u271d J\u271d : Ideal R\nf : R \u2192+* S\nhf : Function.Surjective \u2191f\nI J : Ideal S\nh : J \u2208 Ideal.minimalPrimes I\n\u22a2 comap f J ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/Ideal/Operations.lean | Ideal.comap_isPrime | [
1564,
1
] | [
1565,
93
] | [{"tactic": "rwa [mem_comap, map_mul] at h", "annotated_tactic": ["rwa [<a>mem_comap</a>, <a>map_mul</a>] at h", [{"full_name": "Ideal.mem_comap", "def_path": "Mathlib/RingTheory/Ideal/Operations.lean", "def_pos": [1406, 9], "def_end_pos": [1406, 18]}, {"full_name": "map_mul", "def_path": "Mathlib/Algebra/Hom/Group/Def... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/SupIndep.lean | Finset.SupIndep.attach | [
162,
1
] | [
170,
32
] | [{"tactic": "intro t _ i _ hi", "annotated_tactic": ["intro t _ i _ hi", []], "state_before": "\u03b1 : Type u_1\n\u03b2 : Type u_2\n\u03b9 : Type u_3\n\u03b9' : Type u_4\ninst\u271d\u00b9 : Lattice \u03b1\ninst\u271d : OrderBot \u03b1\ns t : Finset \u03b9\nf : \u03b9 \u2192 \u03b1\ni : \u03b9\nhs : SupIndep s f\n\u22a... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/AlgebraicGeometry/StructureSheaf.lean | AlgebraicGeometry.StructureSheaf.const_ext | [
385,
1
] | [
389,
100
] | [{"tactic": "rw [mul_comm, Subtype.coe_mk, \u2190 h, mul_comm, Subtype.coe_mk]", "annotated_tactic": ["rw [<a>mul_comm</a>, <a>Subtype.coe_mk</a>, \u2190 h, <a>mul_comm</a>, <a>Subtype.coe_mk</a>]", [{"full_name": "mul_comm", "def_path": "Mathlib/Algebra/Group/Defs.lean", "def_pos": [302, 9], "def_end_pos": [302, 17]},... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Algebra/Group/Basic.lean | TopologicalGroup.ext | [
887,
1
] | [
891,
92
] | [{"tactic": "rw [\u2190 @nhds_translation_mul_inv G t _ _ x, \u2190 @nhds_translation_mul_inv G t' _ _ x, \u2190 h]", "annotated_tactic": ["rw [\u2190 @<a>nhds_translation_mul_inv</a> G t _ _ x, \u2190 @<a>nhds_translation_mul_inv</a> G t' _ _ x, \u2190 h]", [{"full_name": "nhds_translation_mul_inv", "def_path": "Mathl... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/GroupTheory/Torsion.lean | AddMonoid.IsTorsion.module_of_finite | [
173,
1
] | [
174,
65
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Calculus/BumpFunction/Normed.lean | ContDiffBump.integral_le_measure_closedBall | [
125,
1
] | [
133,
50
] | [{"tactic": "calc\n\u222b x, f x \u2202\u03bc = \u222b x in closedBall c f.rOut, f x \u2202\u03bc := by\napply (set_integral_eq_integral_of_forall_compl_eq_zero (fun x hx \u21a6 ?_)).symm\napply f.zero_of_le_dist (le_of_lt _)\nsimpa using hx\n_ \u2264 \u222b x in closedBall c f.rOut, 1 \u2202\u03bc := by\napply set_int... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Algebra/Module/Multilinear.lean | ContinuousMultilinearMap.pi_apply | [
264,
1
] | [
267,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Basic.lean | Set.inclusion_comp_inclusion | [
2822,
1
] | [
2824,
39
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/GroupTheory/MonoidLocalization.lean | Submonoid.LocalizationMap.mulEquivOfMulEquiv_eq | [
1575,
1
] | [
1578,
58
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Order/ToIntervalMod.lean | toIocMod_sub | [
520,
1
] | [
521,
59
] | [{"tactic": "simpa only [one_zsmul] using toIocMod_sub_zsmul hp a b 1", "annotated_tactic": ["simpa only [<a>one_zsmul</a>] using <a>toIocMod_sub_zsmul</a> hp a b 1", [{"full_name": "one_zsmul", "def_path": "Mathlib/Algebra/GroupPower/Basic.lean", "def_pos": [284, 30], "def_end_pos": [284, 39]}, {"full_name": "toIocMod... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Geometry/Euclidean/Angle/Sphere.lean | EuclideanGeometry.Sphere.oangle_center_eq_two_zsmul_oangle | [
83,
1
] | [
88,
24
] | [{"tactic": "rw [mem_sphere, @dist_eq_norm_vsub V] at hp\u2081 hp\u2082 hp\u2083", "annotated_tactic": ["rw [<a>mem_sphere</a>, @<a>dist_eq_norm_vsub</a> V] at hp\u2081 hp\u2082 hp\u2083", [{"full_name": "EuclideanGeometry.mem_sphere", "def_path": "Mathlib/Geometry/Euclidean/Sphere/Basic.lean", "def_pos": [95, 9], "def... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Order/Floor.lean | Int.floorRing_ceil_eq | [
661,
1
] | [
662,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Integral/SetIntegral.lean | MeasureTheory.set_integral_nonneg_of_ae | [
762,
1
] | [
763,
60
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/LocalExtr.lean | IsLocalExtrOn.elim | [
78,
1
] | [
80,
10
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Seq/Computation.lean | Computation.LiftRel.imp | [
1087,
1
] | [
1095,
21
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/DirectLimit.lean | Ring.DirectLimit.induction_on | [
467,
1
] | [
470,
14
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Order/Basic.lean | Ioc_mem_nhdsWithin_Iic' | [
613,
1
] | [
614,
37
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Finset/Prod.lean | Finset.product_sdiff_offDiag | [
381,
1
] | [
382,
99
] | [{"tactic": "rw [\u2190 diag_union_offDiag, union_sdiff_self, sdiff_eq_self_of_disjoint (disjoint_diag_offDiag _)]", "annotated_tactic": ["rw [\u2190 <a>diag_union_offDiag</a>, <a>union_sdiff_self</a>, <a>sdiff_eq_self_of_disjoint</a> (<a>disjoint_diag_offDiag</a> _)]", [{"full_name": "Finset.diag_union_offDiag", "def_... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Function/L2Space.lean | MeasureTheory.Memℒp.integrable_sq | [
44,
1
] | [
45,
86
] | [{"tactic": "simpa [\u2190 mem\u2112p_one_iff_integrable] using h.norm_rpow two_ne_zero ENNReal.two_ne_top", "annotated_tactic": ["simpa [\u2190 <a>mem\u2112p_one_iff_integrable</a>] using h.norm_rpow <a>two_ne_zero</a> <a>ENNReal.two_ne_top</a>", [{"full_name": "MeasureTheory.mem\u2112p_one_iff_integrable", "def_path"... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/IntegralClosure.lean | IsIntegralClosure.isIntegral_algebra | [
865,
1
] | [
866,
37
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/SpecialFunctions/Pow/NNReal.lean | ENNReal.rpow_zero | [
381,
1
] | [
384,
23
] | [{"tactic": "simp [lt_irrefl]", "annotated_tactic": ["simp [<a>lt_irrefl</a>]", [{"full_name": "lt_irrefl", "def_path": "Mathlib/Init/Order/Defs.lean", "def_pos": [79, 9], "def_end_pos": [79, 18]}]], "state_before": "case some\nval\u271d : \u211d\u22650\n\u22a2 (if val\u271d = 0 \u2227 0 < 0 then \u22a4 else \u2191(NNR... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/ContinuousFunction/StoneWeierstrass.lean | ContinuousMap.abs_mem_subalgebra_closure | [
113,
1
] | [
118,
37
] | [{"tactic": "let f' := attachBound (f : C(X, \u211d))", "annotated_tactic": ["let f' := <a>attachBound</a> (f : C(X, \u211d))", [{"full_name": "ContinuousMap.attachBound", "def_path": "Mathlib/Topology/ContinuousFunction/StoneWeierstrass.lean", "def_pos": [57, 5], "def_end_pos": [57, 16]}]], "state_before": "X : Type u... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Convex/StrictConvexSpace.lean | eq_lineMap_of_dist_eq_mul_of_dist_eq_mul | [
254,
1
] | [
268,
53
] | [{"tactic": "have : y -\u1d65 x \u2208 [(0 : E) -[\u211d] z -\u1d65 x] := by\n rw [\u2190 dist_add_dist_eq_iff, dist_zero_left, dist_vsub_cancel_right, \u2190 dist_eq_norm_vsub', \u2190\n dist_eq_norm_vsub', hxy, hyz, \u2190 add_mul, add_sub_cancel'_right, one_mul]", "annotated_tactic": ["have : y -\u1d65 x \u2208 ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Instances/ENNReal.lean | ENNReal.add_biSup | [
581,
1
] | [
583,
16
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/NumberTheory/DiophantineApproximation.lean | Real.invariant | [
516,
9
] | [
528,
62
] | [{"tactic": "refine' \u27e8_, fun huv => _, by exact_mod_cast aux\u2083 hv h\u27e9", "annotated_tactic": ["refine' \u27e8_, fun huv => _, by exact_mod_cast <a>aux\u2083</a> hv h\u27e9", [{"full_name": "_private.Mathlib.NumberTheory.DiophantineApproximation.0.Real.aux\u2083", "def_path": "Mathlib/NumberTheory/Diophantin... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Fintype/Card.lean | Tactic.card_univ_pos | [
1245,
9
] | [
1247,
32
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/NumberTheory/RamificationInertia.lean | Ideal.ramificationIdx_ne_zero | [
119,
1
] | [
121,
38
] | [{"tactic": "rwa [ramificationIdx_spec hle hnle]", "annotated_tactic": ["rwa [<a>ramificationIdx_spec</a> hle hnle]", [{"full_name": "Ideal.ramificationIdx_spec", "def_path": "Mathlib/NumberTheory/RamificationInertia.lean", "def_pos": [85, 9], "def_end_pos": [85, 29]}]], "state_before": "R : Type u\ninst\u271d\u00b9 : ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Limits/Shapes/Biproducts.lean | CategoryTheory.Limits.biproduct.π_comp_eqToHom | [
514,
1
] | [
517,
7
] | [{"tactic": "simp [w]", "annotated_tactic": ["simp [w]", []], "state_before": "J : Type w\nK : Type u_1\nC : Type u\ninst\u271d\u00b2 : Category.{v, u} C\ninst\u271d\u00b9 : HasZeroMorphisms C\nf : J \u2192 C\ninst\u271d : HasBiproduct f\nj j' : J\nw : j = j'\n\u22a2 f j = f j'", "state_after": "no goals"}, {"tactic": ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/List/Basic.lean | List.surjective_head? | [
825,
1
] | [
826,
51
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/IsROrC/Basic.lean | IsROrC.imClm_coe | [
1006,
1
] | [
1007,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Ordmap/Ordset.lean | Ordnode.dual_node' | [
309,
1
] | [
310,
80
] | [{"tactic": "simp [node', add_comm]", "annotated_tactic": ["simp [<a>node'</a>, <a>add_comm</a>]", [{"full_name": "Ordnode.node'", "def_path": "Mathlib/Data/Ordmap/Ordnode.lean", "def_pos": [174, 5], "def_end_pos": [174, 10]}, {"full_name": "add_comm", "def_path": "Mathlib/Algebra/Group/Defs.lean", "def_pos": [301, 3],... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/SpecialFunctions/Trigonometric/Basic.lean | Real.cos_add_nat_mul_two_pi | [
364,
1
] | [
365,
27
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Nat/Order/Basic.lean | Nat.div_le_of_le_mul' | [
374,
11
] | [
380,
27
] | [{"tactic": "rw [k0, Nat.div_zero]", "annotated_tactic": ["rw [k0, <a>Nat.div_zero</a>]", [{"full_name": "Nat.div_zero", "def_path": "lake-packages/std/Std/Data/Nat/Lemmas.lean", "def_pos": [559, 27], "def_end_pos": [559, 35]}]], "state_before": "m n k l : \u2115\nh : m \u2264 k * n\nk0 : k = 0\n\u22a2 m / k \u2264 n",... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Monotone/Basic.lean | Antitone.reflect_lt | [
794,
1
] | [
795,
41
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/LocallyFinite.lean | Set.finite_Iic | [
691,
1
] | [
692,
19
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/SpecificLimits/Normed.lean | summable_geometric_iff_norm_lt_1 | [
316,
1
] | [
322,
42
] | [{"tactic": "refine' \u27e8fun h \u21a6 _, summable_geometric_of_norm_lt_1\u27e9", "annotated_tactic": ["refine' \u27e8fun h \u21a6 _, <a>summable_geometric_of_norm_lt_1</a>\u27e9", [{"full_name": "summable_geometric_of_norm_lt_1", "def_path": "Mathlib/Analysis/SpecificLimits/Normed.lean", "def_pos": [293, 9], "def_end... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Convex/Side.lean | AffineSubspace.SSameSide.left_not_mem | [
166,
1
] | [
167,
8
] | [] |
https://github.com/leanprover/std4 | 869c615eb10130c0637a7bc038e2b80253559913 | lake-packages/std/Std/Data/String/Lemmas.lean | String.Pos.byteIdx_zero | [
97,
9
] | [
97,
60
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Dynamics/PeriodicPts.lean | Function.IsPeriodicPt.const_mul | [
128,
11
] | [
129,
41
] | [{"tactic": "simp only [mul_comm n, hm.mul_const n]", "annotated_tactic": ["simp only [<a>mul_comm</a> n, hm.mul_const n]", [{"full_name": "mul_comm", "def_path": "Mathlib/Algebra/Group/Defs.lean", "def_pos": [302, 9], "def_end_pos": [302, 17]}]], "state_before": "\u03b1 : Type u_1\n\u03b2 : Type u_2\nf fa : \u03b1 \u2... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Nat/Nth.lean | Nat.le_nth_of_count_le | [
369,
1
] | [
370,
57
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/NormedSpace/lpSpace.lean | Memℓp.finset_sum | [
251,
1
] | [
259,
95
] | [{"tactic": "haveI : DecidableEq \u03b9 := Classical.decEq _", "annotated_tactic": ["haveI : <a>DecidableEq</a> \u03b9 := <a>Classical.decEq</a> _", [{"full_name": "DecidableEq", "def_path": "lake-packages/lean4/src/lean/Init/Prelude.lean", "def_pos": [839, 8], "def_end_pos": [839, 19]}, {"full_name": "Classical.decEq"... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/List/MinMax.lean | List.minimum_le_coe_iff | [
409,
1
] | [
410,
32
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Ordmap/Ordset.lean | Ordnode.Valid'.trans_right | [
1038,
1
] | [
1040,
32
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Lie/Normalizer.lean | LieSubmodule.mem_normalizer | [
62,
1
] | [
63,
10
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Pointwise/BigOperators.lean | Set.image_finset_prod_pi | [
177,
1
] | [
180,
76
] | [{"tactic": "ext", "annotated_tactic": ["ext", []], "state_before": "\u03b9 : Type u_1\n\u03b1 : Type u_2\n\u03b2 : Type u_3\nF : Type u_4\ninst\u271d\u00b2 : CommMonoid \u03b1\ninst\u271d\u00b9 : CommMonoid \u03b2\ninst\u271d : MonoidHomClass F \u03b1 \u03b2\nl : Finset \u03b9\nS : \u03b9 \u2192 Set \u03b1\n\u22a2 (fu... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Function/SpecialFunctions/Basic.lean | Measurable.exp | [
139,
1
] | [
140,
30
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Integral/Lebesgue.lean | MeasureTheory.lintegral_ofReal_le_lintegral_nnnorm | [
323,
1
] | [
328,
26
] | [{"tactic": "simp_rw [\u2190 ofReal_norm_eq_coe_nnnorm]", "annotated_tactic": ["simp_rw [\u2190 <a>ofReal_norm_eq_coe_nnnorm</a>]", [{"full_name": "ofReal_norm_eq_coe_nnnorm", "def_path": "Mathlib/Analysis/Normed/Group/Basic.lean", "def_pos": [999, 15], "def_end_pos": [999, 40]}]], "state_before": "\u03b1 : Type u_1\n\... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/GroupPower/Basic.lean | pow_mul | [
125,
1
] | [
128,
46
] | [{"tactic": "induction' n with n ih", "annotated_tactic": ["induction' n with n ih", []], "state_before": "\u03b1 : Type u_1\nM : Type u\nN : Type v\nG : Type w\nH : Type x\nA : Type y\nB : Type z\nR : Type u\u2081\nS : Type u\u2082\ninst\u271d\u00b9 : Monoid M\ninst\u271d : AddMonoid A\na : M\nm n : \u2115\n\u22a2 a ^... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Calculus/Deriv/Polynomial.lean | Polynomial.derivWithin | [
142,
11
] | [
145,
16
] | [{"tactic": "rw [DifferentiableAt.derivWithin p.differentiableAt hxs]", "annotated_tactic": ["rw [<a>DifferentiableAt.derivWithin</a> p.differentiableAt hxs]", [{"full_name": "DifferentiableAt.derivWithin", "def_path": "Mathlib/Analysis/Calculus/Deriv/Basic.lean", "def_pos": [489, 9], "def_end_pos": [489, 37]}]], "stat... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Combinatorics/Additive/Behrend.lean | Behrend.le_N | [
429,
1
] | [
441,
20
] | [{"tactic": "have : (2 * dValue N - 1) ^ nValue N \u2264 (2 * dValue N) ^ nValue N :=\n Nat.pow_le_pow_of_le_left (Nat.sub_le _ _) _", "annotated_tactic": ["have : (2 * <a>dValue</a> N - 1) ^ <a>nValue</a> N \u2264 (2 * <a>dValue</a> N) ^ <a>nValue</a> N :=\n <a>Nat.pow_le_pow_of_le_left</a> (<a>Nat.sub_le</a> _ _)... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Measure/OpenPos.lean | MeasureTheory.Measure.interior_eq_empty_of_null | [
111,
1
] | [
112,
83
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/GroupTheory/EckmannHilton.lean | EckmannHilton.MulOneClass.isUnital | [
41,
1
] | [
42,
58
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Function/ConditionalExpectation/CondexpL1.lean | MeasureTheory.condexpIndL1Fin_add | [
92,
1
] | [
102,
6
] | [{"tactic": "ext1", "annotated_tactic": ["ext1", []], "state_before": "\u03b1 : Type u_1\n\u03b2 : Type u_2\nF : Type u_3\nF' : Type u_4\nG : Type u_5\nG' : Type u_6\n\ud835\udd5c : Type u_7\np : \u211d\u22650\u221e\ninst\u271d\u00b9\u00b2 : IsROrC \ud835\udd5c\ninst\u271d\u00b9\u00b9 : NormedAddCommGroup F\ninst\u271d... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Finset/Basic.lean | Finset.not_mem_sdiff_of_mem_right | [
2095,
1
] | [
2096,
67
] | [{"tactic": "simp only [mem_sdiff, h, not_true, not_false_iff, and_false_iff]", "annotated_tactic": ["simp only [<a>mem_sdiff</a>, h, <a>not_true</a>, <a>not_false_iff</a>, <a>and_false_iff</a>]", [{"full_name": "Finset.mem_sdiff", "def_path": "Mathlib/Data/Finset/Basic.lean", "def_pos": [2077, 9], "def_end_pos": [2077... |
https://github.com/leanprover/std4 | 869c615eb10130c0637a7bc038e2b80253559913 | lake-packages/std/Std/Data/Nat/Lemmas.lean | Nat.mod_mod | [
763,
9
] | [
766,
50
] | [{"tactic": "simp [n0, mod_zero]", "annotated_tactic": ["simp [n0, <a>mod_zero</a>]", [{"full_name": "Nat.mod_zero", "def_path": "lake-packages/lean4/src/lean/Init/Data/Nat/Div.lean", "def_pos": [105, 17], "def_end_pos": [105, 25]}]], "state_before": "a n : Nat\nn0 : n = 0\n\u22a2 a % n % n = a % n", "state_after": "no... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/Matrix/SesquilinearForm.lean | Matrix.toLinearMap₂'_apply | [
200,
1
] | [
203,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/SetTheory/Game/Basic.lean | SetTheory.PGame.quot_mul_one | [
646,
1
] | [
647,
63
] | [] |
https://github.com/leanprover/std4 | 869c615eb10130c0637a7bc038e2b80253559913 | lake-packages/std/Std/Data/Fin/Lemmas.lean | Fin.reverseInduction_castSucc | [
669,
9
] | [
672,
78
] | [{"tactic": "rw [reverseInduction, dif_neg (Fin.ne_of_lt (Fin.castSucc_lt_last i))]", "annotated_tactic": ["rw [<a>reverseInduction</a>, <a>dif_neg</a> (<a>Fin.ne_of_lt</a> (<a>Fin.castSucc_lt_last</a> i))]", [{"full_name": "Fin.reverseInduction", "def_path": "lake-packages/std/Std/Data/Fin/Lemmas.lean", "def_pos": [65... |
https://github.com/leanprover/std4 | 869c615eb10130c0637a7bc038e2b80253559913 | lake-packages/std/Std/Data/Fin/Lemmas.lean | Fin.mul_one | [
718,
11
] | [
721,
63
] | [{"tactic": "match n with\n| 0 => exact Subsingleton.elim (\u03b1 := Fin 1) ..\n| n+1 => simp [ext_iff, mul_def, Nat.mod_eq_of_lt (is_lt k)]", "annotated_tactic": ["match n with\n | 0 => exact <a>Subsingleton.elim</a> (\u03b1 := <a>Fin</a> 1) ..\n | n+1 => simp [<a>ext_iff</a>, <a>mul_def</a>, <a>Nat.mod_eq_of_lt</a>... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Multiset/Basic.lean | Multiset.nsmul_cons | [
703,
1
] | [
705,
34
] | [{"tactic": "rw [\u2190 singleton_add, nsmul_add]", "annotated_tactic": ["rw [\u2190 <a>singleton_add</a>, <a>nsmul_add</a>]", [{"full_name": "Multiset.singleton_add", "def_path": "Mathlib/Data/Multiset/Basic.lean", "def_pos": [627, 9], "def_end_pos": [627, 22]}, {"full_name": "nsmul_add", "def_path": "Mathlib/Algebra/... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/SuccPred/Basic.lean | Order.succ_le_succ_iff_of_not_isMax | [
266,
1
] | [
268,
64
] | [{"tactic": "rw [succ_le_iff_of_not_isMax ha, lt_succ_iff_of_not_isMax hb]", "annotated_tactic": ["rw [<a>succ_le_iff_of_not_isMax</a> ha, <a>lt_succ_iff_of_not_isMax</a> hb]", [{"full_name": "Order.succ_le_iff_of_not_isMax", "def_path": "Mathlib/Order/SuccPred/Basic.lean", "def_pos": [254, 9], "def_end_pos": [254, 33]... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/List/Cycle.lean | List.prev_next | [
374,
1
] | [
383,
92
] | [{"tactic": "obtain \u27e8n, hn, rfl\u27e9 := nthLe_of_mem hx", "annotated_tactic": ["obtain \u27e8n, hn, rfl\u27e9 := <a>nthLe_of_mem</a> hx", [{"full_name": "List.nthLe_of_mem", "def_path": "Mathlib/Data/List/Basic.lean", "def_pos": [1180, 9], "def_end_pos": [1180, 21]}]], "state_before": "\u03b1 : Type u_1\ninst\u27... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Module/Equiv.lean | LinearEquiv.eq_toLinearMap_symm_comp | [
443,
1
] | [
447,
47
] | [{"tactic": "constructor <;> intro H <;> ext", "annotated_tactic": ["constructor <;> intro H <;> ext", []], "state_before": "R : Type u_1\nR\u2081 : Type u_2\nR\u2082 : Type u_3\nR\u2083 : Type u_4\nk : Type u_5\nS : Type u_6\nM : Type u_7\nM\u2081 : Type u_8\nM\u2082 : Type u_9\nM\u2083 : Type u_10\nN\u2081 : Type u_1... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Complex/Exponential.lean | Real.sinh_sub_cosh | [
1428,
1
] | [
1428,
88
] | [{"tactic": "rw [\u2190 neg_sub, cosh_sub_sinh]", "annotated_tactic": ["rw [\u2190 <a>neg_sub</a>, <a>cosh_sub_sinh</a>]", [{"full_name": "neg_sub", "def_path": "Mathlib/Algebra/Group/Basic.lean", "def_pos": [400, 3], "def_end_pos": [400, 14]}, {"full_name": "Real.cosh_sub_sinh", "def_path": "Mathlib/Data/Complex/Expon... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Real/ENNReal.lean | Set.OrdConnected.preimage_ennreal_ofReal | [
2577,
1
] | [
2578,
55
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Bounds/Basic.lean | IsGLB.nonempty | [
905,
1
] | [
906,
19
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Abelian/RightDerived.lean | CategoryTheory.NatTrans.rightDerived_id | [
136,
1
] | [
139,
6
] | [{"tactic": "simp [NatTrans.rightDerived]", "annotated_tactic": ["simp [<a>NatTrans.rightDerived</a>]", [{"full_name": "CategoryTheory.NatTrans.rightDerived", "def_path": "Mathlib/CategoryTheory/Abelian/RightDerived.lean", "def_pos": [129, 5], "def_end_pos": [129, 26]}]], "state_before": "C : Type u\ninst\u271d\u2075 :... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Logic/Equiv/Basic.lean | Equiv.Perm.subtypeCongr.left_apply_subtype | [
625,
1
] | [
626,
50
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Module/Submodule/Lattice.lean | Submodule.mem_bot | [
76,
1
] | [
77,
24
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/MetricSpace/HausdorffDistance.lean | EMetric.infEdist_image | [
193,
1
] | [
194,
48
] | [{"tactic": "simp only [infEdist, iInf_image, h\u03a6.edist_eq]", "annotated_tactic": ["simp only [<a>infEdist</a>, <a>iInf_image</a>, h\u03a6.edist_eq]", [{"full_name": "EMetric.infEdist", "def_path": "Mathlib/Topology/MetricSpace/HausdorffDistance.lean", "def_pos": [52, 5], "def_end_pos": [52, 13]}, {"full_name": "iI... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Filter/Germ.lean | Filter.Germ.const_div | [
502,
1
] | [
503,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/SpecialFunctions/Pow/Deriv.lean | Real.deriv_rpow_const | [
365,
1
] | [
367,
34
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Ordmap/Ordset.lean | Ordnode.Bounded.to_sep | [
988,
1
] | [
992,
49
] | [{"tactic": "refine h\u2081.mem_lt.imp fun y yx => ?_", "annotated_tactic": ["refine h\u2081.mem_lt.imp fun y yx => ?_", []], "state_before": "\u03b1 : Type u_1\ninst\u271d : Preorder \u03b1\nt\u2081 t\u2082 : Ordnode \u03b1\no\u2081 : WithBot \u03b1\no\u2082 : WithTop \u03b1\nx : \u03b1\nh\u2081 : Bounded t\u2081 o\u2... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Filter/AtTopBot.lean | Filter.map_div_atTop_eq_nat | [
1721,
1
] | [
1729,
80
] | [{"tactic": "simp only [\u2190 Nat.lt_succ_iff, Nat.div_lt_iff_lt_mul hk, Nat.succ_eq_add_one,\nadd_assoc, tsub_add_cancel_of_le (Nat.one_le_iff_ne_zero.2 hk.ne'), add_mul, one_mul]", "annotated_tactic": ["simp only [\u2190 <a>Nat.lt_succ_iff</a>, <a>Nat.div_lt_iff_lt_mul</a> hk, <a>Nat.succ_eq_add_one</a>,\n <a>a... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Finset/Lattice.lean | Finset.inf_lt_iff | [
718,
11
] | [
719,
37
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/List/Count.lean | List.count_bind | [
146,
1
] | [
147,
93
] | [{"tactic": "rw [List.bind, count_join, map_map]", "annotated_tactic": ["rw [<a>List.bind</a>, <a>count_join</a>, <a>map_map</a>]", [{"full_name": "List.bind", "def_path": "lake-packages/lean4/src/lean/Init/Data/List/Basic.lean", "def_pos": [643, 25], "def_end_pos": [643, 29]}, {"full_name": "List.count_join", "def_pat... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Group/Basic.lean | mul_mul_mul_comm | [
108,
1
] | [
109,
42
] | [{"tactic": "simp only [mul_left_comm, mul_assoc]", "annotated_tactic": ["simp only [<a>mul_left_comm</a>, <a>mul_assoc</a>]", [{"full_name": "mul_left_comm", "def_path": "Mathlib/Algebra/Group/Basic.lean", "def_pos": [96, 9], "def_end_pos": [96, 22]}, {"full_name": "mul_assoc", "def_path": "Mathlib/Algebra/Group/Defs.... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Multiset/Basic.lean | Multiset.rel_map_right | [
2776,
1
] | [
2778,
49
] | [{"tactic": "rw [\u2190 rel_flip, rel_map_left, \u2190 rel_flip]", "annotated_tactic": ["rw [\u2190 <a>rel_flip</a>, <a>rel_map_left</a>, \u2190 <a>rel_flip</a>]", [{"full_name": "Multiset.rel_flip", "def_path": "Mathlib/Data/Multiset/Basic.lean", "def_pos": [2673, 9], "def_end_pos": [2673, 17]}, {"full_name": "Multise... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/AlgebraicGeometry/ProjectiveSpectrum/Topology.lean | ProjectiveSpectrum.zeroLocus_bUnion | [
265,
1
] | [
267,
34
] | [{"tactic": "simp only [zeroLocus_iUnion]", "annotated_tactic": ["simp only [<a>zeroLocus_iUnion</a>]", [{"full_name": "ProjectiveSpectrum.zeroLocus_iUnion", "def_path": "Mathlib/AlgebraicGeometry/ProjectiveSpectrum/Topology.lean", "def_pos": [260, 9], "def_end_pos": [260, 25]}]], "state_before": "R : Type u_1\nA : Typ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/Finrank.lean | FiniteDimensional.finrank_eq_of_rank_eq | [
62,
1
] | [
65,
19
] | [{"tactic": "apply_fun toNat at h", "annotated_tactic": ["apply_fun <a>toNat</a> at h", [{"full_name": "Cardinal.toNat", "def_path": "Mathlib/SetTheory/Cardinal/Basic.lean", "def_pos": [1696, 5], "def_end_pos": [1696, 10]}]], "state_before": "K : Type u\nV : Type v\ninst\u271d\u2074 : Ring K\ninst\u271d\u00b3 : AddComm... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Bases.lean | TopologicalSpace.nonempty_of_mem_countableBasis | [
724,
1
] | [
726,
84
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/LinearIndependent.lean | linearIndependent_iff | [
105,
1
] | [
106,
53
] | [{"tactic": "simp [LinearIndependent, LinearMap.ker_eq_bot']", "annotated_tactic": ["simp [<a>LinearIndependent</a>, <a>LinearMap.ker_eq_bot'</a>]", [{"full_name": "LinearIndependent", "def_path": "Mathlib/LinearAlgebra/LinearIndependent.lean", "def_pos": [99, 5], "def_end_pos": [99, 22]}, {"full_name": "LinearMap.ker_... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Geometry/Manifold/BumpFunction.lean | SmoothBumpFunction.isOpen_support | [
118,
1
] | [
120,
51
] | [{"tactic": "rw [support_eq_inter_preimage]", "annotated_tactic": ["rw [<a>support_eq_inter_preimage</a>]", [{"full_name": "SmoothBumpFunction.support_eq_inter_preimage", "def_path": "Mathlib/Geometry/Manifold/BumpFunction.lean", "def_pos": [111, 9], "def_end_pos": [111, 34]}]], "state_before": "E : Type uE\ninst\u271d... |
https://github.com/leanprover/std4 | 869c615eb10130c0637a7bc038e2b80253559913 | lake-packages/std/Std/Data/RBMap/WF.lean | Std.RBNode.RedRed.of_red | [
139,
11
] | [
141,
63
] | [] |
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