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/Fintype/Units.lean | Nat.card_eq_card_units_add_one | [
43,
1
] | [
47,
96
] | [{"tactic": "have : Fintype \u03b1 := Fintype.ofFinite \u03b1", "annotated_tactic": ["have : <a>Fintype</a> \u03b1 := <a>Fintype.ofFinite</a> \u03b1", [{"full_name": "Fintype", "def_path": "Mathlib/Data/Fintype/Basic.lean", "def_pos": [54, 7], "def_end_pos": [54, 14]}, {"full_name": "Fintype.ofFinite", "def_path": "Mat... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/List/Basic.lean | List.map_reverseAux | [
622,
1
] | [
624,
53
] | [{"tactic": "simp only [reverseAux_eq, map_append, map_reverse]", "annotated_tactic": ["simp only [<a>reverseAux_eq</a>, <a>map_append</a>, <a>map_reverse</a>]", [{"full_name": "List.reverseAux_eq", "def_path": "lake-packages/std/Std/Data/List/Init/Lemmas.lean", "def_pos": [130, 9], "def_end_pos": [130, 22]}, {"full_na... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Algebra/InfiniteSum/Order.lean | tsum_le_of_sum_range_le | [
30,
1
] | [
33,
56
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/NormedSpace/LinearIsometry.lean | LinearIsometry.toLinearMap_inj | [
141,
1
] | [
142,
31
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Calculus/FDeriv/Measurable.lean | FDerivMeasurableAux.differentiable_set_subset_D | [
212,
1
] | [
224,
77
] | [{"tactic": "intro x hx", "annotated_tactic": ["intro x hx", []], "state_before": "\ud835\udd5c : Type u_1\ninst\u271d\u2074 : NontriviallyNormedField \ud835\udd5c\nE : Type u_2\ninst\u271d\u00b3 : NormedAddCommGroup E\ninst\u271d\u00b2 : NormedSpace \ud835\udd5c E\nF : Type u_3\ninst\u271d\u00b9 : NormedAddCommGroup F... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Probability/StrongLaw.lean | ProbabilityTheory.strong_law_aux7 | [
628,
1
] | [
640,
13
] | [{"tactic": "obtain \u27e8c, -, cone, clim\u27e9 :\n \u2203 c : \u2115 \u2192 \u211d, StrictAnti c \u2227 (\u2200 n : \u2115, 1 < c n) \u2227 Tendsto c atTop (\ud835\udcdd 1) :=\n exists_seq_strictAnti_tendsto (1 : \u211d)", "annotated_tactic": ["obtain \u27e8c, -, cone, clim\u27e9 :\n \u2203 c : \u2115 \u2192... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Integral/SetIntegral.lean | MeasureTheory.integral_fintype_iUnion | [
140,
1
] | [
145,
30
] | [{"tactic": "convert integral_finset_biUnion Finset.univ (fun i _ => hs i) _ fun i _ => hf i", "annotated_tactic": ["convert <a>integral_finset_biUnion</a> <a>Finset.univ</a> (fun i _ => hs i) _ fun i _ => hf i", [{"full_name": "MeasureTheory.integral_finset_biUnion", "def_path": "Mathlib/MeasureTheory/Integral/SetInte... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/NumberTheory/NumberField/Embeddings.lean | NumberField.InfinitePlace.card_complex_embeddings | [
463,
1
] | [
479,
52
] | [{"tactic": "suffices \u2200 w : { w : InfinitePlace K // IsComplex w }, (Finset.univ.filter\n fun \u03c6 : { \u03c6 // \u00ac ComplexEmbedding.IsReal \u03c6 } => mkComplex \u03c6 = w).card = 2 by\n rw [Fintype.card, Finset.card_eq_sum_ones, \u2190 Finset.sum_fiberwise _ (fun \u03c6 => mkComplex \u03c6)]\n simp_rw... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/SpecialFunctions/Integrals.lean | intervalIntegral.mul_integral_comp_mul_left | [
252,
1
] | [
253,
34
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Periodic.lean | Function.Periodic.sub_antiperiod | [
518,
1
] | [
520,
61
] | [{"tactic": "simpa only [sub_eq_add_neg] using h1.add_antiperiod h2.neg", "annotated_tactic": ["simpa only [<a>sub_eq_add_neg</a>] using h1.add_antiperiod h2.neg", [{"full_name": "sub_eq_add_neg", "def_path": "Mathlib/Algebra/Group/Defs.lean", "def_pos": [975, 3], "def_end_pos": [975, 14]}]], "state_before": "\u03b1 : ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Combinatorics/SimpleGraph/Regularity/Equitabilise.lean | Finpartition.equitabilise_aux | [
42,
1
] | [
137,
79
] | [{"tactic": "obtain rfl | m_pos := m.eq_zero_or_pos", "annotated_tactic": ["obtain rfl | m_pos := m.eq_zero_or_pos", []], "state_before": "\u03b1 : Type u_1\ninst\u271d : DecidableEq \u03b1\ns t : Finset \u03b1\nm n a b : \u2115\nP : Finpartition s\nhs : a * m + b * (m + 1) = card s\n\u22a2 \u2203 Q,\n (\u2200 (x : ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/FieldTheory/Fixed.lean | FixedPoints.minpoly.irreducible_aux | [
228,
1
] | [
244,
85
] | [{"tactic": "have hf2 : f \u2223 minpoly G F x := by rw [\u2190 hfg]; exact dvd_mul_right _ _", "annotated_tactic": ["have hf2 : f \u2223 <a>minpoly</a> G F x := by rw [\u2190 hfg]; exact <a>dvd_mul_right</a> _ _", [{"full_name": "FixedPoints.minpoly", "def_path": "Mathlib/FieldTheory/Fixed.lean", "def_pos": [175, 5], ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Polynomial/Coeff.lean | Polynomial.nat_cast_coeff_zero | [
387,
1
] | [
388,
43
] | [{"tactic": "simp only [coeff_nat_cast_ite, ite_true]", "annotated_tactic": ["simp only [<a>coeff_nat_cast_ite</a>, <a>ite_true</a>]", [{"full_name": "Polynomial.coeff_nat_cast_ite", "def_path": "Mathlib/Data/Polynomial/Basic.lean", "def_pos": [757, 9], "def_end_pos": [757, 27]}, {"full_name": "ite_true", "def_path": "... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Polynomial/Coeff.lean | Polynomial.coeff_mul_X | [
276,
1
] | [
277,
51
] | [{"tactic": "simpa only [pow_one] using coeff_mul_X_pow p 1 n", "annotated_tactic": ["simpa only [<a>pow_one</a>] using <a>coeff_mul_X_pow</a> p 1 n", [{"full_name": "pow_one", "def_path": "Mathlib/Algebra/GroupPower/Basic.lean", "def_pos": [97, 9], "def_end_pos": [97, 16]}, {"full_name": "Polynomial.coeff_mul_X_pow", ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Tactic/LinearCombination.lean | Mathlib.Tactic.LinearCombination.add_pf | [
41,
1
] | [
41,
94
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Convex/Strict.lean | strictConvex_iff_ordConnected | [
442,
1
] | [
443,
56
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Geometry/Euclidean/Angle/Unoriented/RightAngle.lean | EuclideanGeometry.angle_eq_arctan_of_angle_eq_pi_div_two | [
392,
1
] | [
398,
57
] | [{"tactic": "rw [angle, \u2190 inner_eq_zero_iff_angle_eq_pi_div_two, real_inner_comm, \u2190 neg_eq_zero, \u2190\n inner_neg_left, neg_vsub_eq_vsub_rev] at h", "annotated_tactic": ["rw [<a>angle</a>, \u2190 <a>inner_eq_zero_iff_angle_eq_pi_div_two</a>, <a>real_inner_comm</a>, \u2190 <a>neg_eq_zero</a>, \u2190\n <a... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/QuotientPi.lean | Submodule.quotientPi_aux.map_smul | [
117,
1
] | [
119,
93
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Logic/Equiv/Set.lean | Equiv.image_preimage | [
93,
1
] | [
94,
32
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/InnerProductSpace/TwoDim.lean | Orientation.rightAngleRotation_map_complex | [
656,
1
] | [
660,
42
] | [{"tactic": "rw [\u2190 Complex.rightAngleRotation, \u2190 hf, rightAngleRotation_map (hF := _),\n LinearIsometryEquiv.symm_apply_apply]", "annotated_tactic": ["rw [\u2190 <a>Complex.rightAngleRotation</a>, \u2190 hf, <a>rightAngleRotation_map</a> (hF := _),\n <a>LinearIsometryEquiv.symm_apply_apply</a>]", [{"full_... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/Valuation/Quotient.lean | Valuation.supp_quot | [
67,
1
] | [
75,
13
] | [{"tactic": "apply le_antisymm", "annotated_tactic": ["apply <a>le_antisymm</a>", [{"full_name": "le_antisymm", "def_path": "Mathlib/Init/Order/Defs.lean", "def_pos": [188, 9], "def_end_pos": [188, 20]}]], "state_before": "R : Type u_1\n\u0393\u2080 : Type u_2\ninst\u271d\u00b9 : CommRing R\ninst\u271d : LinearOrderedC... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Polynomial/Lifts.lean | Polynomial.mem_lifts_and_degree_eq | [
166,
1
] | [
202,
30
] | [{"tactic": "generalize hd : p.natDegree = d", "annotated_tactic": ["generalize hd : p.natDegree = d", []], "state_before": "R : Type u\ninst\u271d\u00b9 : Semiring R\nS : Type v\ninst\u271d : Semiring S\nf : R \u2192+* S\np : S[X]\nhlifts : p \u2208 lifts f\n\u22a2 \u2203 q, map f q = p \u2227 degree q = degree p", "s... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Calculus/FDeriv/Equiv.lean | ContinuousLinearEquiv.hasStrictFDerivAt | [
59,
11
] | [
60,
46
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/GroupTheory/Submonoid/Operations.lean | Submonoid.comap_inf_map_of_injective | [
401,
1
] | [
402,
31
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Dynamics/OmegaLimit.lean | mem_omegaLimit_iff_frequently₂ | [
147,
1
] | [
149,
68
] | [{"tactic": "simp_rw [mem_omegaLimit_iff_frequently, image_inter_nonempty_iff]", "annotated_tactic": ["simp_rw [<a>mem_omegaLimit_iff_frequently</a>, <a>image_inter_nonempty_iff</a>]", [{"full_name": "mem_omegaLimit_iff_frequently", "def_path": "Mathlib/Dynamics/OmegaLimit.lean", "def_pos": [132, 9], "def_end_pos": [13... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Function/LpSpace.lean | MeasureTheory.dist_indicatorConstLp_eq_norm | [
797,
1
] | [
800,
90
] | [{"tactic": "rw [Lp.dist_edist, edist_indicatorConstLp_eq_nnnorm, ENNReal.coe_toReal, Lp.coe_nnnorm]", "annotated_tactic": ["rw [<a>Lp.dist_edist</a>, <a>edist_indicatorConstLp_eq_nnnorm</a>, <a>ENNReal.coe_toReal</a>, <a>Lp.coe_nnnorm</a>]", [{"full_name": "MeasureTheory.Lp.dist_edist", "def_path": "Mathlib/MeasureThe... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Polynomial/FieldDivision.lean | Polynomial.normalize_monic | [
469,
1
] | [
469,
87
] | [{"tactic": "simp [h]", "annotated_tactic": ["simp [h]", []], "state_before": "R : Type u\nS : Type v\nk : Type y\nA : Type z\na b : R\nn : \u2115\ninst\u271d\u00b9 : Field R\np q : R[X]\ninst\u271d : DecidableEq R\nh : Monic p\n\u22a2 \u2191normalize p = p", "state_after": "no goals"}] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/FiberBundle/Basic.lean | FiberBundleCore.localTrivAt_apply | [
670,
1
] | [
672,
29
] | [{"tactic": "rw [localTrivAt, localTriv_apply, coordChange_self]", "annotated_tactic": ["rw [<a>localTrivAt</a>, <a>localTriv_apply</a>, <a>coordChange_self</a>]", [{"full_name": "FiberBundleCore.localTrivAt", "def_path": "Mathlib/Topology/FiberBundle/Basic.lean", "def_pos": [603, 5], "def_end_pos": [603, 16]}, {"full_... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/NormedSpace/Pointwise.lean | thickening_cthickening | [
300,
1
] | [
304,
82
] | [{"tactic": "obtain rfl | h\u03b4 := h\u03b4.eq_or_lt", "annotated_tactic": ["obtain rfl | h\u03b4 := h\u03b4.eq_or_lt", []], "state_before": "\ud835\udd5c : Type u_1\nE : Type u_2\ninst\u271d\u00b3 : NormedField \ud835\udd5c\ninst\u271d\u00b2 : SeminormedAddCommGroup E\ninst\u271d\u00b9 : NormedSpace \ud835\udd5c E\ni... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/InformationTheory/Hamming.lean | eq_of_hammingDist_eq_zero | [
92,
1
] | [
94,
32
] | [{"tactic": "simp_rw [hammingDist, card_eq_zero, filter_eq_empty_iff, Classical.not_not, funext_iff, mem_univ,\n forall_true_left, imp_self]", "annotated_tactic": ["simp_rw [<a>hammingDist</a>, <a>card_eq_zero</a>, <a>filter_eq_empty_iff</a>, <a>Classical.not_not</a>, <a>funext_iff</a>, <a>mem_univ</a>,\n <a>forall... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/Subring/Pointwise.lean | Subring.smul_mem_pointwise_smul_iff | [
110,
1
] | [
111,
24
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Real/Pi/Bounds.lean | Real.sqrtTwoAddSeries_step_down | [
135,
1
] | [
143,
19
] | [{"tactic": "apply le_trans hz", "annotated_tactic": ["apply <a>le_trans</a> hz", [{"full_name": "le_trans", "def_path": "Mathlib/Init/Order/Defs.lean", "def_pos": [56, 9], "def_end_pos": [56, 17]}]], "state_before": "a b c d n : \u2115\nz : \u211d\nhz : z \u2264 sqrtTwoAddSeries (\u2191a / \u2191b) n\nhb : 0 < b\nhd :... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Combinatorics/SimpleGraph/Basic.lean | SimpleGraph.edgeSet_subset_edgeSet | [
512,
1
] | [
513,
33
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Finset/Lattice.lean | Finset.inf_induction | [
455,
1
] | [
457,
42
] | [] |
https://github.com/leanprover/std4 | 869c615eb10130c0637a7bc038e2b80253559913 | lake-packages/std/Std/Data/RBMap/Alter.lean | Std.RBNode.Path.Balanced.ins | [
144,
11
] | [
158,
77
] | [{"tactic": "induction hp generalizing t with\n| root => exact ht.setBlack\n| redL hr hp ih => match ht with\n | .balanced .nil => exact ih (.balanced (.red .nil hr))\n | .balanced (.red ha hb) => exact ih (.redred rfl (.red ha hb) hr)\n | .balanced (.black ha hb) => exact ih (.balanced (.red (.black ha hb) hr))\n| ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/MetricSpace/Basic.lean | Metric.isBounded_range_of_tendsto_cofinite_uniformity | [
2494,
1
] | [
2500,
39
] | [{"tactic": "rcases (hasBasis_cofinite.prod_self.tendsto_iff uniformity_basis_dist).1 hf 1 zero_lt_one with\n \u27e8s, hsf, hs1\u27e9", "annotated_tactic": ["rcases (hasBasis_cofinite.prod_self.tendsto_iff <a>uniformity_basis_dist</a>).1 hf 1 <a>zero_lt_one</a> with\n \u27e8s, hsf, hs1\u27e9", [{"full_name": "Metri... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/GradedAlgebra/HomogeneousIdeal.lean | HomogeneousIdeal.ext | [
94,
1
] | [
95,
39
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/MonoidAlgebra/Basic.lean | MonoidAlgebra.domCongr_symm | [
988,
9
] | [
988,
96
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Convex/Strict.lean | StrictConvex.openSegment_subset | [
57,
1
] | [
59,
51
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/InnerProductSpace/Adjoint.lean | LinearMap.re_inner_adjoint_mul_self_nonneg | [
520,
1
] | [
524,
20
] | [{"tactic": "simp only [mul_apply, adjoint_inner_right, inner_self_eq_norm_sq_to_K]", "annotated_tactic": ["simp only [<a>mul_apply</a>, <a>adjoint_inner_right</a>, <a>inner_self_eq_norm_sq_to_K</a>]", [{"full_name": "LinearMap.mul_apply", "def_path": "Mathlib/Algebra/Module/LinearMap.lean", "def_pos": [1059, 9], "def_... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Polynomial/AlgebraMap.lean | Polynomial.coe_aeval_eq_evalRingHom | [
301,
1
] | [
303,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/MvPolynomial/Symmetric.lean | MvPolynomial.map_esymm | [
200,
1
] | [
201,
44
] | [{"tactic": "simp_rw [esymm, map_sum, map_prod, map_X]", "annotated_tactic": ["simp_rw [<a>esymm</a>, <a>map_sum</a>, <a>map_prod</a>, <a>map_X</a>]", [{"full_name": "MvPolynomial.esymm", "def_path": "Mathlib/RingTheory/MvPolynomial/Symmetric.lean", "def_pos": [167, 5], "def_end_pos": [167, 10]}, {"full_name": "map_sum... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/EMetricSpace/Basic.lean | edist_mem_uniformity | [
268,
1
] | [
269,
37
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/PowerSeries/Basic.lean | PowerSeries.map_comp | [
1713,
1
] | [
1714,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/SetTheory/Cardinal/Basic.lean | Cardinal.lift_inj | [
358,
1
] | [
359,
24
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Probability/Moments.lean | ProbabilityTheory.moment_zero | [
62,
1
] | [
64,
27
] | [{"tactic": "simp only [moment, hp, zero_pow', Ne.def, not_false_iff, Pi.zero_apply, integral_const,\n smul_eq_mul, mul_zero]", "annotated_tactic": ["simp only [<a>moment</a>, hp, <a>zero_pow'</a>, <a>Ne.def</a>, <a>not_false_iff</a>, <a>Pi.zero_apply</a>, <a>integral_const</a>,\n <a>smul_eq_mul</a>, <a>mul_zero</a... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/MorphismProperty.lean | CategoryTheory.MorphismProperty.StableUnderComposition.diagonal | [
734,
1
] | [
738,
75
] | [{"tactic": "introv X h\u2081 h\u2082", "annotated_tactic": ["introv X h\u2081 h\u2082", []], "state_before": "C : Type u\ninst\u271d\u00b2 : Category.{v, u} C\nD : Type u_1\ninst\u271d\u00b9 : Category.{?u.107688, u_1} D\ninst\u271d : HasPullbacks C\nP : MorphismProperty C\nhP : StableUnderComposition P\nhP' : Respect... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/GroupTheory/SchurZassenhaus.lean | Subgroup.SchurZassenhausInduction.step5 | [
241,
9
] | [
243,
51
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Basic.lean | Set.union_right_comm | [
806,
1
] | [
807,
29
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Regular/Basic.lean | MulLECancellable.isLeftRegular | [
80,
11
] | [
82,
15
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Associated.lean | Associated.isUnit_iff | [
648,
1
] | [
649,
28
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/SetTheory/Ordinal/Arithmetic.lean | Ordinal.add_le_of_forall_add_lt | [
2506,
1
] | [
2516,
22
] | [{"tactic": "have H : a + (c - a) = c :=\n Ordinal.add_sub_cancel_of_le\n (by\n rw [\u2190 add_zero a]\n exact (h _ hb).le)", "annotated_tactic": ["have H : a + (c - a) = c :=\n <a>Ordinal.add_sub_cancel_of_le</a>\n (by\n rw [\u2190 <a>add_zero</a> a]\n exact (h _ hb).<a>le</a>)", [{... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/BoxIntegral/Basic.lean | BoxIntegral.HasIntegral.neg | [
276,
8
] | [
277,
59
] | [{"tactic": "simpa only [HasIntegral, \u2190 integralSum_neg] using hf.neg", "annotated_tactic": ["simpa only [<a>HasIntegral</a>, \u2190 <a>integralSum_neg</a>] using hf.neg", [{"full_name": "BoxIntegral.HasIntegral", "def_path": "Mathlib/Analysis/BoxIntegral/Basic.lean", "def_pos": [163, 5], "def_end_pos": [163, 16]}... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/Matrix/Block.lean | Matrix.det_of_lowerTriangular | [
266,
1
] | [
269,
43
] | [{"tactic": "rw [\u2190 det_transpose]", "annotated_tactic": ["rw [\u2190 <a>det_transpose</a>]", [{"full_name": "Matrix.det_transpose", "def_path": "Mathlib/LinearAlgebra/Matrix/Determinant.lean", "def_pos": [228, 9], "def_end_pos": [228, 22]}]], "state_before": "\u03b1 : Type u_1\n\u03b2 : Type u_2\nm : Type u_3\nn :... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Combinatorics/SimpleGraph/Density.lean | Rel.card_interedges_finpartition_left | [
160,
1
] | [
165,
76
] | [{"tactic": "classical\nsimp_rw [\u2190 P.biUnion_parts, interedges_biUnion_left, id.def]\nrw [card_biUnion]\nexact fun x hx y hy h \u21a6 interedges_disjoint_left r (P.disjoint hx hy h) _", "annotated_tactic": ["classical\n simp_rw [\u2190 P.biUnion_parts, <a>interedges_biUnion_left</a>, <a>id.def</a>]\n rw [<a>card... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/MvPolynomial/Basic.lean | MvPolynomial.eval₂_comp_right | [
1276,
1
] | [
1285,
8
] | [{"tactic": "apply MvPolynomial.induction_on p", "annotated_tactic": ["apply <a>MvPolynomial.induction_on</a> p", [{"full_name": "MvPolynomial.induction_on", "def_path": "Mathlib/Data/MvPolynomial/Basic.lean", "def_pos": [451, 9], "def_end_pos": [451, 21]}]], "state_before": "R : Type u\nS\u2081 : Type v\nS\u2082\u271d... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/IsAdjoinRoot.lean | IsAdjoinRoot.aequiv_aequiv | [
679,
1
] | [
682,
40
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/List/Nodup.lean | List.nodup_cons | [
40,
1
] | [
41,
50
] | [{"tactic": "simp only [Nodup, pairwise_cons, forall_mem_ne]", "annotated_tactic": ["simp only [<a>Nodup</a>, <a>pairwise_cons</a>, <a>forall_mem_ne</a>]", [{"full_name": "List.Nodup", "def_path": "lake-packages/std/Std/Data/List/Basic.lean", "def_pos": [1182, 5], "def_end_pos": [1182, 10]}, {"full_name": "List.pairwis... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Probability/Moments.lean | ProbabilityTheory.cgf_const' | [
141,
1
] | [
147,
74
] | [{"tactic": "simp only [cgf, mgf_const']", "annotated_tactic": ["simp only [<a>cgf</a>, <a>mgf_const'</a>]", [{"full_name": "ProbabilityTheory.cgf", "def_path": "Mathlib/Probability/Moments.lean", "def_pos": [108, 5], "def_end_pos": [108, 8]}, {"full_name": "ProbabilityTheory.mgf_const'", "def_path": "Mathlib/Probabili... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/Subsemiring/Basic.lean | Subsemiring.mem_center_iff | [
737,
1
] | [
738,
10
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/GroupPower/Ring.lean | powMonoidWithZeroHom_apply | [
128,
1
] | [
129,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/Pi.lean | LinearMap.ker_pi | [
60,
1
] | [
61,
27
] | [{"tactic": "ext c", "annotated_tactic": ["ext c", []], "state_before": "R : Type u\nK : Type u'\nM : Type v\nV : Type v'\nM\u2082 : Type w\nV\u2082 : Type w'\nM\u2083 : Type y\nV\u2083 : Type y'\nM\u2084 : Type z\n\u03b9 : Type x\n\u03b9' : Type x'\ninst\u271d\u2076 : Semiring R\ninst\u271d\u2075 : AddCommMonoid M\u20... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Polynomial/Derivative.lean | Polynomial.iterate_derivative_C | [
255,
1
] | [
256,
59
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/SetTheory/Surreal/Dyadic.lean | Surreal.nsmul_pow_two_powHalf | [
184,
1
] | [
188,
16
] | [{"tactic": "induction' n with n hn", "annotated_tactic": ["induction' n with n hn", []], "state_before": "n : \u2115\n\u22a2 2 ^ n \u2022 powHalf n = 1", "state_after": "case zero\n\n\u22a2 2 ^ Nat.zero \u2022 powHalf Nat.zero = 1\n\ncase succ\nn : \u2115\nhn : 2 ^ n \u2022 powHalf n = 1\n\u22a2 2 ^ Nat.succ n \u2022 ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Matrix/Basic.lean | Matrix.conjTranspose_inv_natCast_smul | [
2240,
1
] | [
2242,
24
] | [{"tactic": "simp", "annotated_tactic": ["simp", []], "state_before": "l : Type u_1\nm : Type u_2\nn : Type u_3\no : Type u_4\nm' : o \u2192 Type u_5\nn' : o \u2192 Type u_6\nR : Type u_7\nS : Type u_8\n\u03b1 : Type v\n\u03b2 : Type w\n\u03b3 : Type u_9\ninst\u271d\u00b3 : DivisionSemiring R\ninst\u271d\u00b2 : AddCom... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/AlgebraicGeometry/PrimeSpectrum/Basic.lean | PrimeSpectrum.vanishingIdeal_eq_top_iff | [
312,
1
] | [
314,
26
] | [{"tactic": "rw [\u2190 top_le_iff, \u2190 subset_zeroLocus_iff_le_vanishingIdeal, Submodule.top_coe, zeroLocus_univ,\n Set.subset_empty_iff]", "annotated_tactic": ["rw [\u2190 <a>top_le_iff</a>, \u2190 <a>subset_zeroLocus_iff_le_vanishingIdeal</a>, <a>Submodule.top_coe</a>, <a>zeroLocus_univ</a>,\n <a>Set.subset_e... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Multiset/Basic.lean | Multiset.inter_zero | [
1757,
1
] | [
1758,
62
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Geometry/Euclidean/Sphere/Basic.lean | EuclideanGeometry.Concyclic.subset | [
213,
1
] | [
214,
33
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/AffineSpace/Independent.lean | Affine.Simplex.reindex_range_points | [
899,
1
] | [
901,
68
] | [{"tactic": "rw [reindex, Set.range_comp, Equiv.range_eq_univ, Set.image_univ]", "annotated_tactic": ["rw [<a>reindex</a>, <a>Set.range_comp</a>, <a>Equiv.range_eq_univ</a>, <a>Set.image_univ</a>]", [{"full_name": "Affine.Simplex.reindex", "def_path": "Mathlib/LinearAlgebra/AffineSpace/Independent.lean", "def_pos": [86... |
https://github.com/leanprover/std4 | 869c615eb10130c0637a7bc038e2b80253559913 | lake-packages/std/Std/Data/HashMap/Basic.lean | Std.HashMap.Imp.Buckets.update_size | [
42,
9
] | [
43,
67
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Tactic/Abel.lean | Mathlib.Tactic.Abel.term_atom_pfg | [
241,
1
] | [
242,
18
] | [{"tactic": "simp [termg, h]", "annotated_tactic": ["simp [<a>termg</a>, h]", [{"full_name": "Mathlib.Tactic.Abel.termg", "def_path": "Mathlib/Tactic/Abel.lean", "def_pos": [93, 5], "def_end_pos": [93, 10]}]], "state_before": "\u03b1 : Type u_1\ninst\u271d : AddCommGroup \u03b1\nx x' : \u03b1\nh : x = x'\n\u22a2 x = te... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/NormedSpace/AffineIsometry.lean | AffineIsometry.map_ne | [
169,
1
] | [
170,
20
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Pointwise/Interval.lean | Set.preimage_add_const_uIcc | [
431,
1
] | [
432,
60
] | [{"tactic": "simpa only [add_comm] using preimage_const_add_uIcc a b c", "annotated_tactic": ["simpa only [<a>add_comm</a>] using <a>preimage_const_add_uIcc</a> a b c", [{"full_name": "add_comm", "def_path": "Mathlib/Algebra/Group/Defs.lean", "def_pos": [301, 3], "def_end_pos": [301, 14]}, {"full_name": "Set.preimage_c... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Closure.lean | ClosureOperator.closure_sup_closure | [
267,
1
] | [
268,
59
] | [{"tactic": "rw [closure_sup_closure_left, closure_sup_closure_right]", "annotated_tactic": ["rw [<a>closure_sup_closure_left</a>, <a>closure_sup_closure_right</a>]", [{"full_name": "ClosureOperator.closure_sup_closure_left", "def_path": "Mathlib/Order/Closure.lean", "def_pos": [257, 9], "def_end_pos": [257, 33]}, {"fu... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Function/AEMeasurableSequence.lean | aeSeq.iSup | [
130,
1
] | [
137,
99
] | [{"tactic": "simp_rw [Filter.EventuallyEq, ae_iff, iSup_apply]", "annotated_tactic": ["simp_rw [<a>Filter.EventuallyEq</a>, <a>ae_iff</a>, <a>iSup_apply</a>]", [{"full_name": "Filter.EventuallyEq", "def_path": "Mathlib/Order/Filter/Basic.lean", "def_pos": [1438, 5], "def_end_pos": [1438, 17]}, {"full_name": "MeasureThe... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Finmap.lean | Finmap.disjoint_union_right | [
674,
1
] | [
676,
92
] | [{"tactic": "rw [Disjoint.symm_iff, disjoint_union_left, Disjoint.symm_iff _ x, Disjoint.symm_iff _ x]", "annotated_tactic": ["rw [<a>Disjoint.symm_iff</a>, <a>disjoint_union_left</a>, <a>Disjoint.symm_iff</a> _ x, <a>Disjoint.symm_iff</a> _ x]", [{"full_name": "Finmap.Disjoint.symm_iff", "def_path": "Mathlib/Data/Finm... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/GroupTheory/FreeGroup/Basic.lean | FreeGroup.reduce.not | [
1151,
1
] | [
1182,
16
] | [{"tactic": "cases L2 <;> injections", "annotated_tactic": ["cases L2 <;> injections", []], "state_before": "\u03b1 : Type u\nL L\u2081 L\u2082 L\u2083 L\u2084 : List (\u03b1 \u00d7 Bool)\ninst\u271d : DecidableEq \u03b1\np : Prop\nL2 L3 : List (\u03b1 \u00d7 Bool)\nx\u271d\u00b9 : \u03b1\nx\u271d : Bool\nh : reduce []... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Intervals/OrdConnected.lean | Set.ordConnected_Ioc | [
162,
1
] | [
163,
42
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Seq/WSeq.lean | Stream'.WSeq.ofList_nil | [
1254,
1
] | [
1255,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/List.lean | nhds_list | [
26,
1
] | [
62,
82
] | [{"tactic": "refine' nhds_mkOfNhds _ _ _ _", "annotated_tactic": ["refine' <a>nhds_mkOfNhds</a> _ _ _ _", [{"full_name": "TopologicalSpace.nhds_mkOfNhds", "def_path": "Mathlib/Topology/Order.lean", "def_pos": [110, 9], "def_end_pos": [110, 22]}]], "state_before": "\u03b1 : Type u_1\n\u03b2 : Type u_2\ninst\u271d\u00b9 ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Homology/ComplexShape.lean | ComplexShape.prev_eq' | [
157,
1
] | [
160,
53
] | [{"tactic": "apply c.prev_eq _ h", "annotated_tactic": ["apply c.prev_eq _ h", []], "state_before": "\u03b9 : Type u_1\nc : ComplexShape \u03b9\ni j : \u03b9\nh : Rel c i j\n\u22a2 prev c j = i", "state_after": "\u03b9 : Type u_1\nc : ComplexShape \u03b9\ni j : \u03b9\nh : Rel c i j\n\u22a2 Rel c (prev c j) j"}, {"tact... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Intervals/Basic.lean | Set.Icc_inter_Icc_eq_singleton | [
1783,
1
] | [
1784,
72
] | [{"tactic": "rw [Icc_inter_Icc, sup_of_le_right hab, inf_of_le_left hbc, Icc_self]", "annotated_tactic": ["rw [<a>Icc_inter_Icc</a>, <a>sup_of_le_right</a> hab, <a>inf_of_le_left</a> hbc, <a>Icc_self</a>]", [{"full_name": "Set.Icc_inter_Icc", "def_path": "Mathlib/Data/Set/Intervals/Basic.lean", "def_pos": [1778, 9], "d... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Prod.lean | Set.empty_pi | [
679,
1
] | [
681,
12
] | [{"tactic": "ext", "annotated_tactic": ["ext", []], "state_before": "\u03b9 : Type u_1\n\u03b1 : \u03b9 \u2192 Type u_2\n\u03b2 : \u03b9 \u2192 Type u_3\ns\u271d s\u2081 s\u2082 : Set \u03b9\nt t\u2081 t\u2082 : (i : \u03b9) \u2192 Set (\u03b1 i)\ni : \u03b9\ns : (i : \u03b9) \u2192 Set (\u03b1 i)\n\u22a2 pi \u2205 s =... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Geometry/Euclidean/Angle/Oriented/Affine.lean | EuclideanGeometry.left_ne_of_oangle_eq_pi | [
89,
1
] | [
90,
78
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/Artinian.lean | isArtinian_of_surjective | [
84,
1
] | [
89,
81
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Asymptotics/AsymptoticEquivalent.lean | Asymptotics.isEquivalent_iff_exists_eq_mul | [
201,
1
] | [
210,
58
] | [{"tactic": "rw [IsEquivalent, isLittleO_iff_exists_eq_mul]", "annotated_tactic": ["rw [<a>IsEquivalent</a>, <a>isLittleO_iff_exists_eq_mul</a>]", [{"full_name": "Asymptotics.IsEquivalent", "def_path": "Mathlib/Analysis/Asymptotics/AsymptoticEquivalent.lean", "def_pos": [73, 5], "def_end_pos": [73, 17]}, {"full_name": ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Geometry/Manifold/Algebra/LieGroup.lean | smooth_inv | [
85,
1
] | [
86,
22
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/WellFoundedSet.lean | Set.wellFoundedOn_iff_no_descending_seq | [
176,
1
] | [
187,
45
] | [{"tactic": "simp only [wellFoundedOn_iff, RelEmbedding.wellFounded_iff_no_descending_seq, \u2190 not_exists, \u2190\n not_nonempty_iff, not_iff_not]", "annotated_tactic": ["simp only [<a>wellFoundedOn_iff</a>, <a>RelEmbedding.wellFounded_iff_no_descending_seq</a>, \u2190 <a>not_exists</a>, \u2190\n <a>not_nonempty... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/MetricSpace/HausdorffDimension.lean | Real.dimH_univ_pi | [
534,
1
] | [
536,
57
] | [{"tactic": "simp only [\u2190 Metric.iUnion_ball_nat_succ (0 : \u03b9 \u2192 \u211d), dimH_iUnion,\n dimH_ball_pi _ (Nat.cast_add_one_pos _), iSup_const]", "annotated_tactic": ["simp only [\u2190 <a>Metric.iUnion_ball_nat_succ</a> (0 : \u03b9 \u2192 \u211d), <a>dimH_iUnion</a>,\n <a>dimH_ball_pi</a> _ (<a>Nat.cast... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Combinatorics/SimpleGraph/Subgraph.lean | SimpleGraph.edgeSet_singletonSubgraph | [
869,
1
] | [
870,
19
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/MetricSpace/Basic.lean | Real.dist_0_eq_abs | [
1377,
1
] | [
1377,
78
] | [{"tactic": "simp [Real.dist_eq]", "annotated_tactic": ["simp [<a>Real.dist_eq</a>]", [{"full_name": "Real.dist_eq", "def_path": "Mathlib/Topology/MetricSpace/Basic.lean", "def_pos": [1367, 9], "def_end_pos": [1367, 21]}]], "state_before": "\u03b1 : Type u\n\u03b2 : Type v\nX : Type u_1\n\u03b9 : Type u_2\ninst\u271d :... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Dynamics/Circle/RotationNumber/TranslationNumber.lean | CircleDeg1Lift.semiconj_of_bijective_of_translationNumber_eq | [
1025,
1
] | [
1028,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Function.lean | Set.LeftInvOn.rightInvOn_image | [
1127,
1
] | [
1128,
57
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Fin/Tuple/Basic.lean | Fin.elim0'_append | [
333,
1
] | [
335,
26
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Init/Order/Defs.lean | not_lt | [
368,
1
] | [
369,
31
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/List/Sort.lean | List.rel_of_sorted_cons | [
66,
1
] | [
67,
23
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Algebra/InfiniteSum/Basic.lean | summable_neg_iff | [
820,
1
] | [
821,
34
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Asymptotics/Theta.lean | Asymptotics.isTheta_const_const | [
261,
1
] | [
263,
57
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Lie/Classical.lean | LieAlgebra.Orthogonal.jb_transform | [
354,
1
] | [
356,
28
] | [{"tactic": "simp [PB, JB, jd_transform, Matrix.fromBlocks_transpose, Matrix.fromBlocks_multiply,\n Matrix.fromBlocks_smul]", "annotated_tactic": ["simp [<a>PB</a>, <a>JB</a>, <a>jd_transform</a>, <a>Matrix.fromBlocks_transpose</a>, <a>Matrix.fromBlocks_multiply</a>,\n <a>Matrix.fromBlocks_smul</a>]", [{"full_name"... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/LocalHomeomorph.lean | LocalHomeomorph.coe_trans_symm | [
812,
1
] | [
813,
6
] | [] |
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