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/NumberTheory/Padics/PadicVal.lean | one_le_padicValNat_of_dvd | [
294,
1
] | [
297,
13
] | [{"tactic": "rwa [\u2190 PartENat.coe_le_coe, padicValNat_def' hp.out.ne_one hn, \u2190 pow_dvd_iff_le_multiplicity,\n pow_one]", "annotated_tactic": ["rwa [\u2190 <a>PartENat.coe_le_coe</a>, <a>padicValNat_def'</a> hp.out.ne_one hn, \u2190 <a>pow_dvd_iff_le_multiplicity</a>,\n <a>pow_one</a>]", [{"full_name": "Par... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/QuadraticForm/Prod.lean | QuadraticForm.nonneg_prod_iff | [
116,
1
] | [
126,
37
] | [{"tactic": "simp_rw [Prod.forall, prod_apply]", "annotated_tactic": ["simp_rw [<a>Prod.forall</a>, <a>prod_apply</a>]", [{"full_name": "Prod.forall", "def_path": "Mathlib/Data/Prod/Basic.lean", "def_pos": [36, 9], "def_end_pos": [36, 17]}, {"full_name": "QuadraticForm.prod_apply", "def_path": "Mathlib/LinearAlgebra/Qu... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Filter/Pointwise.lean | Filter.Tendsto.mul_mul | [
630,
1
] | [
632,
51
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/MeanInequalitiesPow.lean | NNReal.arith_mean_le_rpow_mean | [
166,
1
] | [
170,
39
] | [{"tactic": "exact_mod_cast\n Real.arith_mean_le_rpow_mean s _ _ (fun i _ => (w i).coe_nonneg) (by exact_mod_cast hw')\n (fun i _ => (z i).coe_nonneg) hp", "annotated_tactic": ["exact_mod_cast\n <a>Real.arith_mean_le_rpow_mean</a> s _ _ (fun i _ => (w i).<a>coe_nonneg</a>) (by exact_mod_cast hw')\n (fun i _... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Order.lean | denseRange_discrete | [
297,
1
] | [
298,
56
] | [{"tactic": "rw [DenseRange, dense_discrete, range_iff_surjective]", "annotated_tactic": ["rw [<a>DenseRange</a>, <a>dense_discrete</a>, <a>range_iff_surjective</a>]", [{"full_name": "DenseRange", "def_path": "Mathlib/Topology/Basic.lean", "def_pos": [1830, 5], "def_end_pos": [1830, 15]}, {"full_name": "dense_discrete"... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Measure/Lebesgue/Basic.lean | Real.volume_Ioi | [
145,
1
] | [
150,
63
] | [{"tactic": "simp", "annotated_tactic": ["simp", []], "state_before": "\u03b9 : Type u_1\ninst\u271d : Fintype \u03b9\na : \u211d\nn : \u2115\n\u22a2 \u2191n = \u2191\u2191volume (Ioo a (a + \u2191n))", "state_after": "no goals"}] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/ContinuousFunction/Weierstrass.lean | continuousMap_mem_polynomialFunctions_closure | [
86,
1
] | [
89,
7
] | [{"tactic": "rw [polynomialFunctions_closure_eq_top _ _]", "annotated_tactic": ["rw [<a>polynomialFunctions_closure_eq_top</a> _ _]", [{"full_name": "polynomialFunctions_closure_eq_top", "def_path": "Mathlib/Topology/ContinuousFunction/Weierstrass.lean", "def_pos": [54, 9], "def_end_pos": [54, 43]}]], "state_before": "... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Multiset/Basic.lean | Multiset.subset_zero | [
431,
1
] | [
432,
64
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Measure/MeasureSpace.lean | MeasureTheory.one_le_prob_iff | [
3071,
1
] | [
3072,
63
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/GroupPower/Lemmas.lean | pow_bit1_nonpos_iff | [
724,
1
] | [
736,
22
] | [{"tactic": "simp only [le_iff_lt_or_eq, pow_bit1_neg_iff]", "annotated_tactic": ["simp only [<a>le_iff_lt_or_eq</a>, <a>pow_bit1_neg_iff</a>]", [{"full_name": "le_iff_lt_or_eq", "def_path": "Mathlib/Init/Order/Defs.lean", "def_pos": [232, 9], "def_end_pos": [232, 24]}, {"full_name": "pow_bit1_neg_iff", "def_path": "Ma... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Geometry/Euclidean/Angle/Oriented/Affine.lean | EuclideanGeometry.oangle_self_left_right | [
69,
1
] | [
70,
18
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Functor/Basic.lean | CategoryTheory.Functor.comp_id | [
129,
11
] | [
129,
71
] | [{"tactic": "cases F", "annotated_tactic": ["cases F", []], "state_before": "C : Type u\u2081\ninst\u271d\u00b2 : Category.{v\u2081, u\u2081} C\nD : Type u\u2082\ninst\u271d\u00b9 : Category.{v\u2082, u\u2082} D\nE : Type u\u2083\ninst\u271d : Category.{v\u2083, u\u2083} E\nF : C \u2964 D\n\u22a2 F \u22d9 \ud835\udfed ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Monoidal/Mon_.lean | Mon_.mul_leftUnitor | [
460,
1
] | [
466,
47
] | [{"tactic": "rw [\u2190 Category.comp_id (\u03bb_ (\ud835\udfd9_ C)).hom, \u2190 Category.id_comp M.mul, tensor_comp]", "annotated_tactic": ["rw [\u2190 <a>Category.comp_id</a> (\u03bb_ (\ud835\udfd9_ C)).<a>hom</a>, \u2190 <a>Category.id_comp</a> M.mul, <a>tensor_comp</a>]", [{"full_name": "CategoryTheory.Category.com... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/Multilinear/Basic.lean | MultilinearMap.coe_inj | [
142,
1
] | [
143,
20
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Order/Ring/Lemmas.lean | le_of_le_mul_of_le_one_of_nonneg_right | [
951,
1
] | [
953,
41
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Order/ToIntervalMod.lean | toIcoMod_add_left' | [
495,
1
] | [
496,
47
] | [{"tactic": "rw [add_comm, toIcoMod_add_right', add_comm]", "annotated_tactic": ["rw [<a>add_comm</a>, <a>toIcoMod_add_right'</a>, <a>add_comm</a>]", [{"full_name": "add_comm", "def_path": "Mathlib/Algebra/Group/Defs.lean", "def_pos": [301, 3], "def_end_pos": [301, 14]}, {"full_name": "toIcoMod_add_right'", "def_path":... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Filter/Extr.lean | IsExtrOn.inter | [
301,
1
] | [
302,
39
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Measure/NullMeasurable.lean | MeasureTheory.measure_union₀' | [
335,
1
] | [
336,
98
] | [{"tactic": "rw [union_comm, measure_union\u2080 hs (AEDisjoint.symm hd), add_comm]", "annotated_tactic": ["rw [<a>union_comm</a>, <a>measure_union\u2080</a> hs (<a>AEDisjoint.symm</a> hd), <a>add_comm</a>]", [{"full_name": "Set.union_comm", "def_path": "Mathlib/Data/Set/Basic.lean", "def_pos": [786, 9], "def_end_pos":... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/GradedAlgebra/HomogeneousIdeal.lean | Ideal.homogeneousCore'_le | [
123,
1
] | [
124,
47
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Hom/Set.lean | OrderIso.symm_preimage_preimage | [
51,
1
] | [
52,
37
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/QuaternionBasis.lean | QuaternionAlgebra.Basis.lift_one | [
118,
1
] | [
118,
65
] | [{"tactic": "simp [lift]", "annotated_tactic": ["simp [<a>lift</a>]", [{"full_name": "QuaternionAlgebra.Basis.lift", "def_path": "Mathlib/Algebra/QuaternionBasis.lean", "def_pos": [111, 5], "def_end_pos": [111, 9]}]], "state_before": "R : Type u_1\nA : Type u_2\nB : Type u_3\ninst\u271d\u2074 : CommRing R\ninst\u271d\u... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Group/Commute/Units.lean | Commute.units_inv_left_iff | [
44,
1
] | [
45,
37
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/NhdsSet.lean | monotone_nhdsSet | [
132,
1
] | [
132,
87
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Tactic/NormNum/Result.lean | Mathlib.Meta.NormNum.IsInt.neg_to_eq | [
175,
1
] | [
177,
64
] | [{"tactic": "simp [Int.negOfNat_eq, Int.cast_neg]", "annotated_tactic": ["simp [<a>Int.negOfNat_eq</a>, <a>Int.cast_neg</a>]", [{"full_name": "Int.negOfNat_eq", "def_path": "lake-packages/std/Std/Data/Int/Lemmas.lean", "def_pos": [45, 9], "def_end_pos": [45, 20]}, {"full_name": "Int.cast_neg", "def_path": "Mathlib/Data... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Subobject/Limits.lean | CategoryTheory.Limits.factorThruKernelSubobject_comp_kernelSubobjectIso | [
141,
1
] | [
143,
42
] | [{"tactic": "simp", "annotated_tactic": ["simp", []], "state_before": "C : Type u\ninst\u271d\u00b2 : Category.{v, u} C\nX Y Z : C\ninst\u271d\u00b9 : HasZeroMorphisms C\nf : X \u27f6 Y\ninst\u271d : HasKernel f\nW : C\nh : W \u27f6 X\nw : h \u226b f = 0\n\u22a2 (factorThruKernelSubobject f h w \u226b (kernelSubobjectI... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/LocallyFinite.lean | WithBot.Ioo_coe_coe | [
1206,
1
] | [
1207,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/Subring/Basic.lean | Subring.coe_eq_zero_iff | [
450,
1
] | [
451,
87
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Limits/Shapes/Pullbacks.lean | CategoryTheory.Limits.pullbackConeOfLeftIso_snd | [
1623,
1
] | [
1623,
81
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Finset/Basic.lean | Finset.insert_inj | [
1204,
1
] | [
1205,
101
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Filter/AtTopBot.lean | Filter.tendsto_atTop_of_add_const_right | [
748,
1
] | [
750,
93
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Polynomial/Eval.lean | Polynomial.nat_cast_mul_comp | [
636,
1
] | [
637,
50
] | [{"tactic": "rw [\u2190 C_eq_nat_cast, C_mul_comp, C_eq_nat_cast]", "annotated_tactic": ["rw [\u2190 <a>C_eq_nat_cast</a>, <a>C_mul_comp</a>, <a>C_eq_nat_cast</a>]", [{"full_name": "Polynomial.C_eq_nat_cast", "def_path": "Mathlib/Data/Polynomial/Basic.lean", "def_pos": [551, 9], "def_end_pos": [551, 22]}, {"full_name":... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Order/Group/Defs.lean | inv_lt' | [
389,
1
] | [
389,
73
] | [{"tactic": "rw [\u2190 inv_lt_inv_iff, inv_inv]", "annotated_tactic": ["rw [\u2190 <a>inv_lt_inv_iff</a>, <a>inv_inv</a>]", [{"full_name": "inv_lt_inv_iff", "def_path": "Mathlib/Algebra/Order/Group/Defs.lean", "def_pos": [382, 9], "def_end_pos": [382, 23]}, {"full_name": "inv_inv", "def_path": "Mathlib/Algebra/Group/D... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Rat/Defs.lean | Rat.mkRat_one | [
259,
1
] | [
260,
38
] | [{"tactic": "simp [Rat.mkRat_eq, Rat.divInt_one]", "annotated_tactic": ["simp [<a>Rat.mkRat_eq</a>, <a>Rat.divInt_one</a>]", [{"full_name": "Rat.mkRat_eq", "def_path": "Mathlib/Data/Rat/Defs.lean", "def_pos": [64, 9], "def_end_pos": [64, 17]}, {"full_name": "Rat.divInt_one", "def_path": "Mathlib/Data/Rat/Defs.lean", "d... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Convolution.lean | MeasureTheory.AEStronglyMeasurable.convolution_integrand' | [
194,
1
] | [
198,
75
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Analysis/Topology.lean | Ctop.Realizer.isOpen | [
157,
11
] | [
158,
80
] | [{"tactic": "simpa using F.mem_nhds.2 \u27e8s, m, Subset.refl _\u27e9", "annotated_tactic": ["simpa using F.mem_nhds.2 \u27e8s, m, <a>Subset.refl</a> _\u27e9", [{"full_name": "Set.Subset.refl", "def_path": "Mathlib/Data/Set/Basic.lean", "def_pos": [354, 9], "def_end_pos": [354, 20]}]], "state_before": "\u03b1 : Type u_... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Combinatorics/Young/SemistandardTableau.lean | Ssyt.copy_eq | [
106,
1
] | [
108,
17
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Measure/AEMeasurable.lean | AEMeasurable.ae_inf_principal_eq_mk | [
70,
1
] | [
71,
28
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/NumberTheory/PellMatiyasevic.lean | Pell.eq_pellZd | [
334,
1
] | [
341,
32
] | [{"tactic": "rw [Zsqrtd.coe_nat_val]", "annotated_tactic": ["rw [<a>Zsqrtd.coe_nat_val</a>]", [{"full_name": "Zsqrtd.coe_nat_val", "def_path": "Mathlib/NumberTheory/Zsqrtd/Basic.lean", "def_pos": [288, 9], "def_end_pos": [288, 20]}]], "state_before": "a : \u2115\na1 : 1 < a\nb : \u2124\u221a\u2191(Pell.d a1)\nb1 : 1 \u... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Probability/Kernel/Composition.lean | ProbabilityTheory.kernel.lintegral_prod | [
928,
1
] | [
931,
99
] | [{"tactic": "simp_rw [prod, lintegral_compProd _ _ _ hg, swapLeft_apply, prodMkLeft_apply, Prod.swap_prod_mk]", "annotated_tactic": ["simp_rw [<a>prod</a>, <a>lintegral_compProd</a> _ _ _ hg, <a>swapLeft_apply</a>, <a>prodMkLeft_apply</a>, <a>Prod.swap_prod_mk</a>]", [{"full_name": "ProbabilityTheory.kernel.prod", "def... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Quaternion.lean | QuaternionAlgebra.coe_basisOneIJK_repr | [
569,
1
] | [
571,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RepresentationTheory/Action.lean | Action.tensor_v | [
495,
1
] | [
496,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/GroupTheory/OrderOfElement.lean | Subgroup.pow_index_mem | [
986,
1
] | [
987,
93
] | [{"tactic": "rw [\u2190 eq_one_iff, QuotientGroup.mk_pow H, index, pow_card_eq_one']", "annotated_tactic": ["rw [\u2190 <a>eq_one_iff</a>, <a>QuotientGroup.mk_pow</a> H, <a>index</a>, <a>pow_card_eq_one'</a>]", [{"full_name": "QuotientGroup.eq_one_iff", "def_path": "Mathlib/GroupTheory/QuotientGroup.lean", "def_pos": [... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Algebra/Order/UpperLower.lean | IsUpperSet.interior | [
101,
11
] | [
103,
24
] | [{"tactic": "rw [\u2190 isLowerSet_compl, \u2190 closure_compl]", "annotated_tactic": ["rw [\u2190 <a>isLowerSet_compl</a>, \u2190 <a>closure_compl</a>]", [{"full_name": "isLowerSet_compl", "def_path": "Mathlib/Order/UpperLower/Basic.lean", "def_pos": [97, 9], "def_end_pos": [97, 25]}, {"full_name": "closure_compl", "d... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Filtered/Basic.lean | CategoryTheory.IsFiltered.sup_objs_exists | [
237,
1
] | [
246,
79
] | [{"tactic": "induction' O using Finset.induction with X O' nm h", "annotated_tactic": ["induction' O using <a>Finset.induction</a> with X O' nm h", [{"full_name": "Finset.induction", "def_path": "Mathlib/Data/Finset/Basic.lean", "def_pos": [1240, 19], "def_end_pos": [1240, 28]}]], "state_before": "C : Type u\ninst\u271... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/ContinuousFunction/Bounded.lean | BoundedContinuousFunction.restrict_apply | [
404,
1
] | [
404,
86
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/GroupTheory/Abelianization.lean | commutator_eq_normalClosure | [
53,
1
] | [
54,
61
] | [{"tactic": "simp [commutator, Subgroup.commutator_def', commutatorSet]", "annotated_tactic": ["simp [<a>commutator</a>, <a>Subgroup.commutator_def'</a>, <a>commutatorSet</a>]", [{"full_name": "commutator", "def_path": "Mathlib/GroupTheory/Abelianization.lean", "def_pos": [39, 5], "def_end_pos": [39, 15]}, {"full_name"... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Convex/Side.lean | AffineSubspace.wOppSide_lineMap_left | [
361,
1
] | [
363,
40
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Real/Hyperreal.lean | Hyperreal.not_infiniteNeg_add_infinitePos | [
543,
1
] | [
545,
55
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Homology/ImageToKernel.lean | homology.map_comp | [
337,
1
] | [
341,
92
] | [{"tactic": "ext", "annotated_tactic": ["ext", []], "state_before": "\u03b9 : Type u_1\nV : Type u\ninst\u271d\u00b9\u2079 : Category.{v, u} V\ninst\u271d\u00b9\u2078 : HasZeroMorphisms V\nA B C : V\nf : A \u27f6 B\ninst\u271d\u00b9\u2077 : HasImage f\ng : B \u27f6 C\ninst\u271d\u00b9\u2076 : HasKernel g\nw : f \u226b ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Instances/ENNReal.lean | Summable.toNNReal | [
1305,
1
] | [
1308,
84
] | [{"tactic": "apply NNReal.summable_coe.1", "annotated_tactic": ["apply <a>NNReal.summable_coe</a>.1", [{"full_name": "NNReal.summable_coe", "def_path": "Mathlib/Topology/Instances/NNReal.lean", "def_pos": [170, 9], "def_end_pos": [170, 21]}]], "state_before": "\u03b1 : Type u_1\n\u03b2 : Type u_2\n\u03b3 : Type u_3\nf ... |
https://github.com/leanprover/std4 | 869c615eb10130c0637a7bc038e2b80253559913 | lake-packages/std/Std/Data/Nat/Lemmas.lean | Nat.mul_self_sub_mul_self_eq | [
540,
11
] | [
542,
72
] | [{"tactic": "rw [Nat.mul_sub_left_distrib, Nat.right_distrib, Nat.right_distrib,\n Nat.mul_comm b a, Nat.add_comm (a*a) (a*b), Nat.add_sub_add_left]", "annotated_tactic": ["rw [<a>Nat.mul_sub_left_distrib</a>, <a>Nat.right_distrib</a>, <a>Nat.right_distrib</a>,\n <a>Nat.mul_comm</a> b a, <a>Nat.add_comm</a> (a*... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Lie/Submodule.lean | LieIdeal.mem_comap | [
965,
1
] | [
966,
10
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Filter/Extr.lean | IsMaxOn.sup | [
544,
1
] | [
545,
24
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/MeasurableSpace/Basic.lean | measurable_iff_comap_le | [
221,
1
] | [
223,
27
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Function/StronglyMeasurable/Basic.lean | MeasureTheory.StronglyMeasurable.finStronglyMeasurable | [
333,
11
] | [
336,
37
] | [{"tactic": "simp", "annotated_tactic": ["simp", []], "state_before": "\u03b1 : Type u_1\n\u03b2 : Type u_2\n\u03b3 : Type u_3\n\u03b9 : Type u_4\ninst\u271d\u00b3 : Countable \u03b9\nf g : \u03b1 \u2192 \u03b2\ninst\u271d\u00b2 : TopologicalSpace \u03b2\ninst\u271d\u00b9 : Zero \u03b2\nm0 : MeasurableSpace \u03b1\nhf ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Convex/Segment.lean | Convex.mem_Ico | [
597,
1
] | [
610,
81
] | [{"tactic": "refine' \u27e8fun hz => _, _\u27e9", "annotated_tactic": ["refine' \u27e8fun hz => _, _\u27e9", []], "state_before": "\ud835\udd5c : Type u_1\nE : Type u_2\nF : Type u_3\nG : Type u_4\n\u03b9 : Type u_5\n\u03c0 : \u03b9 \u2192 Type u_6\ninst\u271d : LinearOrderedField \ud835\udd5c\nx y z : \ud835\udd5c\nh ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/GroupTheory/Perm/Support.lean | Equiv.Perm.Disjoint.conj | [
121,
1
] | [
122,
24
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Geometry/Manifold/MFDeriv.lean | Smooth.mdifferentiable | [
693,
1
] | [
694,
38
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/NormedSpace/ENorm.lean | ENorm.eq_zero_iff | [
102,
1
] | [
103,
47
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Order/Hom/Monoid.lean | OrderMonoidHom.id_comp | [
451,
1
] | [
452,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Function/AEEqFun.lean | MeasureTheory.AEEqFun.le_sup_right | [
541,
11
] | [
545,
21
] | [{"tactic": "rw [\u2190 coeFn_le]", "annotated_tactic": ["rw [\u2190 <a>coeFn_le</a>]", [{"full_name": "MeasureTheory.AEEqFun.coeFn_le", "def_path": "Mathlib/MeasureTheory/Function/AEEqFun.lean", "def_pos": [513, 9], "def_end_pos": [513, 17]}]], "state_before": "\u03b1 : Type u_1\n\u03b2 : Type u_2\n\u03b3 : Type u_3\n... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Matrix/Block.lean | Matrix.blockDiagonal_apply' | [
368,
1
] | [
370,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/MetricSpace/Infsep.lean | Set.einfsep_zero | [
55,
1
] | [
57,
71
] | [{"tactic": "simp_rw [einfsep, \u2190 _root_.bot_eq_zero, iInf_eq_bot, iInf_lt_iff]", "annotated_tactic": ["simp_rw [<a>einfsep</a>, \u2190 <a>_root_.bot_eq_zero</a>, <a>iInf_eq_bot</a>, <a>iInf_lt_iff</a>]", [{"full_name": "Set.einfsep", "def_path": "Mathlib/Topology/MetricSpace/Infsep.lean", "def_pos": [42, 19], "def... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Intervals/Basic.lean | Set.Ico_inter_Iio | [
1853,
1
] | [
1854,
62
] | [{"tactic": "simp (config := { contextual := true }) [iff_def]", "annotated_tactic": ["simp (config := { contextual := <a>true</a> }) [<a>iff_def</a>]", [{"full_name": "Bool.true", "def_path": "lake-packages/lean4/src/lean/Init/Prelude.lean", "def_pos": [549, 5], "def_end_pos": [549, 9]}, {"full_name": "iff_def", "def_... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Finset/LocallyFinite.lean | Finset.Ioc_insert_left | [
585,
1
] | [
586,
100
] | [{"tactic": "rw [\u2190 coe_inj, coe_insert, coe_Ioc, coe_Icc, Set.insert_eq, Set.union_comm, Set.Ioc_union_left h]", "annotated_tactic": ["rw [\u2190 <a>coe_inj</a>, <a>coe_insert</a>, <a>coe_Ioc</a>, <a>coe_Icc</a>, <a>Set.insert_eq</a>, <a>Set.union_comm</a>, <a>Set.Ioc_union_left</a> h]", [{"full_name": "Finset.coe... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/PowerSeries/Basic.lean | Polynomial.coe_X | [
2693,
1
] | [
2694,
19
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/ZMod/Basic.lean | ZMod.valMinAbs_mem_Ioc | [
1008,
1
] | [
1016,
24
] | [{"tactic": "simp_rw [valMinAbs_def_pos, Nat.le_div_two_iff_mul_two_le]", "annotated_tactic": ["simp_rw [<a>valMinAbs_def_pos</a>, <a>Nat.le_div_two_iff_mul_two_le</a>]", [{"full_name": "ZMod.valMinAbs_def_pos", "def_path": "Mathlib/Data/ZMod/Basic.lean", "def_pos": [963, 9], "def_end_pos": [963, 26]}, {"full_name": "N... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Limits/Shapes/Biproducts.lean | CategoryTheory.Limits.biprod.associator_inv_natural | [
2045,
1
] | [
2048,
12
] | [{"tactic": "aesop_cat", "annotated_tactic": ["aesop_cat", []], "state_before": "J : Type w\nC : Type u\ninst\u271d\u00b2 : Category.{v, u} C\ninst\u271d\u00b9 : HasZeroMorphisms C\nP Q : C\ninst\u271d : HasBinaryBiproducts C\nU V W X Y Z : C\nf : U \u27f6 X\ng : V \u27f6 Y\nh : W \u27f6 Z\n\u22a2 map f (map g h) \u226... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Monoidal/CommMon_.lean | CommMon_.forget₂_Mon_obj_one | [
93,
1
] | [
94,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Analytic/Basic.lean | HasFPowerSeriesAt.eq_zero_of_eventually | [
1158,
1
] | [
1160,
24
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/GroupTheory/HNNExtension.lean | HNNExtension.NormalWord.t_pow_smul_eq_unitsSMul | [
504,
1
] | [
507,
72
] | [{"tactic": "rcases Int.units_eq_one_or u with (rfl | rfl) <;>\n simp [instHSMul, SMul.smul, MulAction.toEndHom, Equiv.Perm.inv_def]", "annotated_tactic": ["rcases <a>Int.units_eq_one_or</a> u with (rfl | rfl) <;>\n simp [<a>instHSMul</a>, <a>SMul.smul</a>, <a>MulAction.toEndHom</a>, <a>Equiv.Perm.inv_def</a>]", [{... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Order/Ring/Lemmas.lean | neg_of_mul_pos_left | [
572,
1
] | [
573,
84
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/Ideal/Operations.lean | Ideal.add_eq_sup | [
415,
1
] | [
416,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Finset/Basic.lean | Finset.filter_empty | [
2780,
1
] | [
2781,
38
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/GroupWithZero/Basic.lean | mul_eq_mul_left_iff | [
172,
1
] | [
173,
65
] | [{"tactic": "by_cases ha : a = 0 <;> [simp [ha]; simp [mul_right_inj', ha]]", "annotated_tactic": ["by_cases ha : a = 0 <;> [simp [ha]; simp [<a>mul_right_inj'</a>, ha]]", [{"full_name": "mul_right_inj'", "def_path": "Mathlib/Algebra/GroupWithZero/Defs.lean", "def_pos": [131, 9], "def_end_pos": [131, 23]}]], "state_bef... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Algebra/Group/Basic.lean | isOpenMap_inv | [
340,
1
] | [
341,
31
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/NormedSpace/Exponential.lean | expSeries_summable' | [
426,
1
] | [
427,
57
] | [] |
https://github.com/leanprover/std4 | 869c615eb10130c0637a7bc038e2b80253559913 | lake-packages/std/Std/Data/Int/Lemmas.lean | Int.neg_add_le_right_of_le_add | [
1013,
11
] | [
1015,
40
] | [{"tactic": "rw [Int.add_comm] at h", "annotated_tactic": ["rw [<a>Int.add_comm</a>] at h", [{"full_name": "Int.add_comm", "def_path": "lake-packages/std/Std/Data/Int/Lemmas.lean", "def_pos": [218, 19], "def_end_pos": [218, 27]}]], "state_before": "a b c : Int\nh : a \u2264 b + c\n\u22a2 -c + a \u2264 b", "state_after"... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Combinatorics/SimpleGraph/Density.lean | SimpleGraph.card_interedges_add_card_interedges_compl | [
375,
1
] | [
383,
56
] | [{"tactic": "rw [\u2190 card_product, interedges_def, interedges_def]", "annotated_tactic": ["rw [\u2190 <a>card_product</a>, <a>interedges_def</a>, <a>interedges_def</a>]", [{"full_name": "Finset.card_product", "def_path": "Mathlib/Data/Finset/Prod.lean", "def_pos": [139, 9], "def_end_pos": [139, 21]}, {"full_name": "... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/PowerSeries/Basic.lean | MvPowerSeries.mul_one | [
279,
11
] | [
280,
61
] | [{"tactic": "simpa using coeff_add_mul_monomial n 0 \u03c6 1", "annotated_tactic": ["simpa using <a>coeff_add_mul_monomial</a> n 0 \u03c6 1", [{"full_name": "MvPowerSeries.coeff_add_mul_monomial", "def_path": "Mathlib/RingTheory/PowerSeries/Basic.lean", "def_pos": [259, 9], "def_end_pos": [259, 31]}]], "state_before": ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/FiniteType.lean | Algebra.FiniteType.trans | [
127,
1
] | [
129,
26
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Order/Monoid/Canonical/Defs.lean | eq_one_or_one_lt | [
250,
1
] | [
251,
39
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Filter/EventuallyConst.lean | Filter.eventuallyConst_set | [
70,
1
] | [
72,
23
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Order/ToIntervalMod.lean | toIcoDiv_add_left | [
316,
1
] | [
317,
36
] | [{"tactic": "rw [add_comm, toIcoDiv_add_right]", "annotated_tactic": ["rw [<a>add_comm</a>, <a>toIcoDiv_add_right</a>]", [{"full_name": "add_comm", "def_path": "Mathlib/Algebra/Group/Defs.lean", "def_pos": [301, 3], "def_end_pos": [301, 14]}, {"full_name": "toIcoDiv_add_right", "def_path": "Mathlib/Algebra/Order/ToInte... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/AffineSpace/Combination.lean | Finset.centroid_eq_of_inj_on_of_image_eq | [
975,
1
] | [
980,
56
] | [{"tactic": "classical rw [s.centroid_eq_centroid_image_of_inj_on k hi rfl,\n s\u2082.centroid_eq_centroid_image_of_inj_on k hi\u2082 he]", "annotated_tactic": ["classical rw [s.centroid_eq_centroid_image_of_inj_on k hi <a>rfl</a>,\n s\u2082.centroid_eq_centroid_image_of_inj_on k hi\u2082 he]", [{"full_name": "... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Order.lean | generateFrom_iInter | [
1008,
1
] | [
1010,
33
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/MetricSpace/Contracting.lean | ContractingWith.dist_fixedPoint_le | [
320,
1
] | [
321,
53
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Category/Preord.lean | Preord.coe_of | [
54,
1
] | [
55,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/ConditionallyCompleteLattice/Basic.lean | exists_lt_of_lt_ciSup | [
1007,
1
] | [
1009,
9
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Convex/StrictConvexSpace.lean | openSegment_subset_ball_of_ne | [
168,
1
] | [
170,
73
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Sites/SheafOfTypes.lean | CategoryTheory.Presieve.isSeparatedFor_and_exists_isAmalgamation_iff_isSheafFor | [
580,
1
] | [
593,
58
] | [{"tactic": "rw [IsSeparatedFor, \u2190 forall_and]", "annotated_tactic": ["rw [<a>IsSeparatedFor</a>, \u2190 <a>forall_and</a>]", [{"full_name": "CategoryTheory.Presieve.IsSeparatedFor", "def_path": "Mathlib/CategoryTheory/Sites/SheafOfTypes.lean", "def_pos": [412, 5], "def_end_pos": [412, 19]}, {"full_name": "forall_... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/Lagrange.lean | Lagrange.nodal_empty | [
520,
1
] | [
521,
6
] | [{"tactic": "rfl", "annotated_tactic": ["rfl", []], "state_before": "R : Type u_1\ninst\u271d : CommRing R\n\u03b9 : Type u_2\ns : Finset \u03b9\nv : \u03b9 \u2192 R\n\u22a2 nodal \u2205 v = 1", "state_after": "no goals"}] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Category/Profinite/Basic.lean | Profinite.to_compHausToTopCat | [
172,
1
] | [
174,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Tactic/CategoryTheory/BicategoryCoherence.lean | Mathlib.Tactic.BicategoryCoherence.bicategoricalComp_refl | [
243,
1
] | [
244,
34
] | [{"tactic": "dsimp [bicategoricalComp]", "annotated_tactic": ["dsimp [<a>bicategoricalComp</a>]", [{"full_name": "Mathlib.Tactic.BicategoryCoherence.bicategoricalComp", "def_path": "Mathlib/Tactic/CategoryTheory/BicategoryCoherence.lean", "def_pos": [210, 5], "def_end_pos": [210, 22]}]], "state_before": "B : Type u\nin... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/IndicatorFunction.lean | Set.mulIndicator_union_of_not_mem_inter | [
371,
1
] | [
373,
86
] | [{"tactic": "rw [\u2190 mulIndicator_union_mul_inter_apply f s t, mulIndicator_of_not_mem h, mul_one]", "annotated_tactic": ["rw [\u2190 <a>mulIndicator_union_mul_inter_apply</a> f s t, <a>mulIndicator_of_not_mem</a> h, <a>mul_one</a>]", [{"full_name": "Set.mulIndicator_union_mul_inter_apply", "def_path": "Mathlib/Alge... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Order/Group/Defs.lean | inv_le_inv' | [
1239,
1
] | [
1241,
29
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Complex/Basic.lean | Complex.neg_im | [
249,
1
] | [
250,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Combinatorics/SimpleGraph/Regularity/Bound.lean | SzemerediRegularity.one_le_m_coe | [
120,
1
] | [
121,
33
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Module/Torsion.lean | Submodule.torsionBySet_isTorsionBySet | [
356,
1
] | [
357,
52
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Sets/Opens.lean | TopologicalSpace.Opens.coe_finset_sup | [
212,
1
] | [
213,
79
] | [] |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.