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/List/Lattice.lean | List.forall_mem_inter_of_forall_right | [
179,
1
] | [
181,
52
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Finset/LocallyFinite.lean | Finset.Ioo_eq_empty | [
107,
1
] | [
108,
88
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Function.lean | Function.Semiconj.injOn_preimage | [
1704,
1
] | [
1709,
33
] | [{"tactic": "intro x hx y hy H", "annotated_tactic": ["intro x hx y hy H", []], "state_before": "\u03b1 : Type u_1\n\u03b2 : Type u_2\n\u03b3 : Type u_3\n\u03b9 : Sort u_4\n\u03c0 : \u03b1 \u2192 Type u_5\nfa : \u03b1 \u2192 \u03b1\nfb : \u03b2 \u2192 \u03b2\nf : \u03b1 \u2192 \u03b2\ng : \u03b2 \u2192 \u03b3\ns\u271d ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/GroupTheory/SchurZassenhaus.lean | Subgroup.exists_right_complement'_of_coprime_of_fintype | [
283,
1
] | [
285,
50
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/HahnSeries.lean | HahnSeries.SummableFamily.one_sub_self_mul_hsum_powers | [
1791,
1
] | [
1794,
7
] | [{"tactic": "rw [\u2190 hsum_smul, sub_smul 1 x (powers x hx), one_smul, hsum_sub, \u2190\n hsum_embDomain (x \u2022 powers x hx) \u27e8Nat.succ, Nat.succ_injective\u27e9, embDomain_succ_smul_powers]", "annotated_tactic": ["rw [\u2190 <a>hsum_smul</a>, <a>sub_smul</a> 1 x (<a>powers</a> x hx), <a>one_smul</a>, <a>hsum... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/GroupTheory/Submonoid/Operations.lean | Submonoid.mem_map_of_mem | [
241,
1
] | [
242,
24
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Combinatorics/SimpleGraph/Subgraph.lean | SimpleGraph.Subgraph.neighborSet_inf | [
492,
1
] | [
493,
71
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Lie/Submodule.lean | LieSubmodule.coe_neg | [
204,
1
] | [
205,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Integral/SetIntegral.lean | MeasureTheory.integrableOn_iUnion_of_summable_integral_norm | [
819,
1
] | [
832,
32
] | [{"tactic": "refine' \u27e8AEStronglyMeasurable.iUnion fun i => (hi i).1, (lintegral_iUnion_le _ _).trans_lt _\u27e9", "annotated_tactic": ["refine' \u27e8<a>AEStronglyMeasurable.iUnion</a> fun i => (hi i).1, (<a>lintegral_iUnion_le</a> _ _).<a>trans_lt</a> _\u27e9", [{"full_name": "MeasureTheory.AEStronglyMeasurable.i... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Real/NNReal.lean | Real.nnabs_of_nonneg | [
1078,
1
] | [
1080,
52
] | [{"tactic": "ext", "annotated_tactic": ["ext", []], "state_before": "x : \u211d\nh : 0 \u2264 x\n\u22a2 \u2191nnabs x = toNNReal x", "state_after": "case a\nx : \u211d\nh : 0 \u2264 x\n\u22a2 \u2191(\u2191nnabs x) = \u2191(toNNReal x)"}, {"tactic": "rw [coe_toNNReal x h, coe_nnabs, abs_of_nonneg h]", "annotated_tactic"... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Lattice.lean | Set.subset_sInter | [
1186,
1
] | [
1187,
12
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Algebra/Order/Floor.lean | tendsto_floor_left_pure_sub_one | [
95,
1
] | [
97,
79
] | [{"tactic": "simpa only [ceil_intCast] using tendsto_floor_left_pure_ceil_sub_one (n : \u03b1)", "annotated_tactic": ["simpa only [<a>ceil_intCast</a>] using <a>tendsto_floor_left_pure_ceil_sub_one</a> (n : \u03b1)", [{"full_name": "Int.ceil_intCast", "def_path": "Mathlib/Algebra/Order/Floor.lean", "def_pos": [1197, 9]... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Filter.lean | Filter.nhds_eq' | [
80,
1
] | [
81,
54
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Calculus/ContDiff.lean | contDiff_prod | [
1474,
1
] | [
1476,
87
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/Span.lean | Submodule.span_coe_eq_restrictScalars | [
90,
1
] | [
92,
32
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/LocalProperties.lean | localization_finiteType | [
531,
1
] | [
558,
15
] | [{"tactic": "introv R hf", "annotated_tactic": ["introv R hf", []], "state_before": "R S : Type u\ninst\u271d\u2075 : CommRing R\ninst\u271d\u2074 : CommRing S\nM : Submonoid R\nN : Submonoid S\nR' S' : Type u\ninst\u271d\u00b3 : CommRing R'\ninst\u271d\u00b2 : CommRing S'\nf : R \u2192+* S\ninst\u271d\u00b9 : Algebra ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/SetTheory/Game/Impartial.lean | SetTheory.PGame.Impartial.forall_rightMoves_fuzzy_iff_equiv_zero | [
215,
1
] | [
220,
30
] | [{"tactic": "refine' \u27e8fun hb => _, fun hp i => _\u27e9", "annotated_tactic": ["refine' \u27e8fun hb => _, fun hp i => _\u27e9", []], "state_before": "G : PGame\ninst\u271d : Impartial G\n\u22a2 (\u2200 (j : RightMoves G), moveRight G j \u2016 0) \u2194 G \u2248 0", "state_after": "case refine'_1\nG : PGame\ninst\u... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Hom/Aut.lean | AddAut.smul_def | [
253,
11
] | [
254,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Instances/Real.lean | Function.Periodic.compact_of_continuous' | [
210,
1
] | [
212,
37
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Measure/MeasureSpace.lean | MeasureTheory.Measure.restrict_union_le | [
1760,
1
] | [
1763,
25
] | [{"tactic": "intro t ht", "annotated_tactic": ["intro t ht", []], "state_before": "\u03b1 : Type u_1\n\u03b2 : Type u_2\n\u03b3 : Type u_3\n\u03b4 : Type u_4\n\u03b9 : Type u_5\nR : Type u_6\nR' : Type u_7\nm0 : MeasurableSpace \u03b1\ninst\u271d\u00b9 : MeasurableSpace \u03b2\ninst\u271d : MeasurableSpace \u03b3\n\u03... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Matrix/Block.lean | Matrix.blockDiagonal'_zero | [
712,
1
] | [
714,
30
] | [{"tactic": "ext", "annotated_tactic": ["ext", []], "state_before": "l : Type u_1\nm : Type u_2\nn : Type u_3\no : Type u_4\np : Type u_5\nq : Type u_6\nm' : o \u2192 Type u_7\nn' : o \u2192 Type u_8\np' : o \u2192 Type u_9\nR : Type u_10\nS : Type u_11\n\u03b1 : Type u_12\n\u03b2 : Type u_13\ninst\u271d\u00b2 : Decida... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/IsROrC/Basic.lean | IsROrC.ofNat_mul_im | [
666,
1
] | [
668,
37
] | [{"tactic": "rw [\u2190 ofReal_ofNat, ofReal_mul_im]", "annotated_tactic": ["rw [\u2190 <a>ofReal_ofNat</a>, <a>ofReal_mul_im</a>]", [{"full_name": "IsROrC.ofReal_ofNat", "def_path": "Mathlib/Data/IsROrC/Basic.lean", "def_pos": [658, 9], "def_end_pos": [658, 21]}, {"full_name": "IsROrC.ofReal_mul_im", "def_path": "Math... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Measure/MeasureSpace.lean | MeasurableEmbedding.comap_apply | [
4125,
1
] | [
4131,
63
] | [{"tactic": "rw [hf.injective.preimage_image]", "annotated_tactic": ["rw [hf.injective.preimage_image]", []], "state_before": "\u03b1 : Type u_1\n\u03b2 : Type u_2\n\u03b3 : Type u_3\n\u03b4 : Type u_4\n\u03b9 : Type u_5\nR : Type u_6\nR' : Type u_7\nm0 : MeasurableSpace \u03b1\nm1 : MeasurableSpace \u03b2\nf : \u03b1 ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Order/NhdsSet.lean | nhdsSet_Ioi | [
32,
9
] | [
32,
78
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Image.lean | Set.forall_subset_range_iff | [
832,
1
] | [
834,
44
] | [{"tactic": "rw [\u2190 forall_range_iff, range_image]", "annotated_tactic": ["rw [\u2190 <a>forall_range_iff</a>, <a>range_image</a>]", [{"full_name": "Set.forall_range_iff", "def_path": "Mathlib/Data/Set/Image.lean", "def_pos": [684, 9], "def_end_pos": [684, 25]}, {"full_name": "Set.range_image", "def_path": "Mathlib... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/SpecialFunctions/Integrals.lean | integral_mul_cpow_one_add_sq | [
557,
1
] | [
586,
72
] | [{"tactic": "have : t + 1 \u2260 0 := by contrapose! ht; rwa [add_eq_zero_iff_eq_neg] at ht", "annotated_tactic": ["have : t + 1 \u2260 0 := by contrapose! ht; rwa [<a>add_eq_zero_iff_eq_neg</a>] at ht", [{"full_name": "add_eq_zero_iff_eq_neg", "def_path": "Mathlib/Algebra/Group/Basic.lean", "def_pos": [654, 3], "def_e... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/NormedSpace/Multilinear.lean | continuousMultilinearCurryFin0_symm_apply | [
1715,
1
] | [
1717,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Lie/Submodule.lean | LieSubmodule.eq_bot_iff | [
555,
8
] | [
555,
96
] | [{"tactic": "rw [eq_bot_iff]", "annotated_tactic": ["rw [<a>eq_bot_iff</a>]", [{"full_name": "eq_bot_iff", "def_path": "Mathlib/Order/BoundedOrder.lean", "def_pos": [363, 9], "def_end_pos": [363, 19]}]], "state_before": "R : Type u\nL : Type v\nM : Type w\ninst\u271d\u2076 : CommRing R\ninst\u271d\u2075 : LieRing L\nin... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/UpperLower/Basic.lean | isLowerSet_iff_forall_lt | [
395,
1
] | [
396,
71
] | [{"tactic": "simp [le_iff_eq_or_lt, or_imp, forall_and]", "annotated_tactic": ["simp [<a>le_iff_eq_or_lt</a>, <a>or_imp</a>, <a>forall_and</a>]", [{"full_name": "le_iff_eq_or_lt", "def_path": "Mathlib/Order/Basic.lean", "def_pos": [390, 9], "def_end_pos": [390, 24]}, {"full_name": "or_imp", "def_path": "lake-packages/s... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Algebra/Monoid.lean | continuous_finset_prod | [
761,
1
] | [
763,
29
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Integral/VitaliCaratheodory.lean | MeasureTheory.exists_lt_lowerSemicontinuous_integral_lt | [
457,
1
] | [
530,
55
] | [{"tactic": "let \u03b4 : \u211d\u22650 := \u27e8\u03b5 / 2, (half_pos \u03b5pos).le\u27e9", "annotated_tactic": ["let \u03b4 : \u211d\u22650 := \u27e8\u03b5 / 2, (<a>half_pos</a> \u03b5pos).<a>le</a>\u27e9", [{"full_name": "half_pos", "def_path": "Mathlib/Algebra/Order/Field/Basic.lean", "def_pos": [504, 9], "def_end_... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/ULift.lean | ULift.up_inf | [
43,
9
] | [
43,
75
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Geometry/Euclidean/Angle/Unoriented/Affine.lean | EuclideanGeometry.angle_left_midpoint_eq_pi_div_two_of_dist_eq | [
260,
1
] | [
267,
85
] | [{"tactic": "let m : P := midpoint \u211d p1 p2", "annotated_tactic": ["let m : P := <a>midpoint</a> \u211d p1 p2", [{"full_name": "midpoint", "def_path": "Mathlib/LinearAlgebra/AffineSpace/Midpoint.lean", "def_pos": [43, 5], "def_end_pos": [43, 13]}]], "state_before": "V : Type u_1\nP : Type u_2\ninst\u271d\u00b3 : No... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Algebra/Group/Basic.lean | TopologicalGroup.t2Space_of_one_sep | [
1516,
1
] | [
1521,
94
] | [{"tactic": "suffices T1Space G from inferInstance", "annotated_tactic": ["suffices <a>T1Space</a> G from <a>inferInstance</a>", [{"full_name": "T1Space", "def_path": "Mathlib/Topology/Separation.lean", "def_pos": [379, 7], "def_end_pos": [379, 14]}, {"full_name": "inferInstance", "def_path": "lake-packages/lean4/src/l... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Order/Monoid/Canonical/Defs.lean | le_mul_of_le_right | [
198,
1
] | [
199,
21
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Nat/Interval.lean | Nat.Ico_succ_right_eq_insert_Ico | [
215,
1
] | [
216,
44
] | [{"tactic": "rw [Ico_succ_right, \u2190 Ico_insert_right h]", "annotated_tactic": ["rw [<a>Ico_succ_right</a>, \u2190 <a>Ico_insert_right</a> h]", [{"full_name": "Nat.Ico_succ_right", "def_path": "Mathlib/Data/Nat/Interval.lean", "def_pos": [180, 9], "def_end_pos": [180, 23]}, {"full_name": "Finset.Ico_insert_right", "... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Seq/WSeq.lean | Stream'.WSeq.map_append | [
1419,
1
] | [
1420,
23
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Deprecated/Group.lean | IsGroupHom.injective_iff | [
328,
1
] | [
331,
64
] | [{"tactic": "rw [\u2190 hf.map_one]", "annotated_tactic": ["rw [\u2190 hf.map_one]", []], "state_before": "\u03b1 : Type u\n\u03b2 : Type v\ninst\u271d\u00b9 : Group \u03b1\ninst\u271d : Group \u03b2\nf\u271d : \u03b1 \u2192 \u03b2\nhf\u271d : IsGroupHom f\u271d\nf : \u03b1 \u2192 \u03b2\nhf : IsGroupHom f\nh : Functio... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Prod/Basic.lean | Prod.map_comp_map | [
87,
1
] | [
89,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Nat/Factorization/PrimePow.lean | IsPrimePow.minFac_pow_factorization_eq | [
20,
1
] | [
24,
74
] | [{"tactic": "obtain \u27e8p, k, hp, hk, rfl\u27e9 := hn", "annotated_tactic": ["obtain \u27e8p, k, hp, hk, rfl\u27e9 := hn", []], "state_before": "R : Type u_1\ninst\u271d : CommMonoidWithZero R\nn\u271d p : R\nk n : \u2115\nhn : IsPrimePow n\n\u22a2 Nat.minFac n ^ \u2191(Nat.factorization n) (Nat.minFac n) = n", "stat... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Module/PID.lean | Module.equiv_directSum_of_isTorsion | [
237,
1
] | [
260,
12
] | [{"tactic": "obtain \u27e8I, fI, _, p, hp, e, h\u27e9 := Submodule.exists_isInternal_prime_power_torsion_of_pid hN", "annotated_tactic": ["obtain \u27e8I, fI, _, p, hp, e, h\u27e9 := <a>Submodule.exists_isInternal_prime_power_torsion_of_pid</a> hN", [{"full_name": "Submodule.exists_isInternal_prime_power_torsion_of_pid... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/BigOperators/Basic.lean | Finset.card_biUnion | [
1873,
1
] | [
1879,
62
] | [{"tactic": "simp_rw [card_eq_sum_ones]", "annotated_tactic": ["simp_rw [<a>card_eq_sum_ones</a>]", [{"full_name": "Finset.card_eq_sum_ones", "def_path": "Mathlib/Algebra/BigOperators/Basic.lean", "def_pos": [1762, 9], "def_end_pos": [1762, 25]}]], "state_before": "\u03b9 : Type u_1\n\u03b2 : Type u\n\u03b1 : Type v\n\... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Fin/VecNotation.lean | Matrix.vecAppend_eq_ite | [
272,
1
] | [
280,
6
] | [{"tactic": "ext i", "annotated_tactic": ["ext i", []], "state_before": "\u03b1\u271d : Type u\nm n o\u271d : \u2115\nm' : Type u_1\nn' : Type u_2\no' : Type u_3\n\u03b1 : Type u_4\no : \u2115\nho : o = m + n\nu : Fin m \u2192 \u03b1\nv : Fin n \u2192 \u03b1\n\u22a2 vecAppend ho u v = fun i =>\n if h : \u2191i < m t... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/List/Rotate.lean | List.IsRotated.map | [
550,
1
] | [
554,
8
] | [{"tactic": "obtain \u27e8n, rfl\u27e9 := h", "annotated_tactic": ["obtain \u27e8n, rfl\u27e9 := h", []], "state_before": "\u03b1 : Type u\nl l' : List \u03b1\n\u03b2 : Type u_1\nl\u2081 l\u2082 : List \u03b1\nh : l\u2081 ~r l\u2082\nf : \u03b1 \u2192 \u03b2\n\u22a2 List.map f l\u2081 ~r List.map f l\u2082", "state_aft... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Sites/CoverLifting.lean | CategoryTheory.RanIsSheafOfCoverLifting.pulledbackFamily_apply | [
144,
1
] | [
147,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Calculus/FDeriv/Prod.lean | HasFDerivAtFilter.prod | [
67,
1
] | [
70,
20
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Measure/MeasureSpace.lean | MeasureTheory.Measure.QuasiMeasurePreserving.preimage_mono_ae | [
2276,
1
] | [
2279,
100
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/BigOperators/Basic.lean | Finset.prod_union | [
409,
1
] | [
411,
84
] | [{"tactic": "rw [\u2190 prod_union_inter, disjoint_iff_inter_eq_empty.mp h]", "annotated_tactic": ["rw [\u2190 <a>prod_union_inter</a>, disjoint_iff_inter_eq_empty.mp h]", [{"full_name": "Finset.prod_union_inter", "def_path": "Mathlib/Algebra/BigOperators/Basic.lean", "def_pos": [402, 9], "def_end_pos": [402, 25]}]], "... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Measure/MeasureSpace.lean | MeasureTheory.Measure.restrict_apply_superset | [
1615,
1
] | [
1617,
64
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/PNat/Interval.lean | PNat.map_subtype_embedding_Ioo | [
59,
1
] | [
60,
81
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/SetTheory/Surreal/Basic.lean | SetTheory.PGame.Numeric.mk | [
80,
1
] | [
82,
29
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/NormedSpace/lpSpace.lean | lp.single_smul | [
1027,
11
] | [
1035,
39
] | [{"tactic": "refine' ext (funext (fun (j : \u03b1) => _))", "annotated_tactic": ["refine' <a>ext</a> (<a>funext</a> (fun (j : \u03b1) => _))", [{"full_name": "lp.ext", "def_path": "Mathlib/Analysis/NormedSpace/lpSpace.lean", "def_pos": [339, 9], "def_end_pos": [339, 12]}, {"full_name": "funext", "def_path": "lake-packa... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Directed.lean | Directed.mono_comp | [
101,
1
] | [
103,
32
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Minimal.lean | mem_maximals_iff | [
96,
1
] | [
99,
33
] | [{"tactic": "simp only [maximals, Set.mem_sep_iff, and_congr_right_iff]", "annotated_tactic": ["simp only [<a>maximals</a>, <a>Set.mem_sep_iff</a>, <a>and_congr_right_iff</a>]", [{"full_name": "maximals", "def_path": "Mathlib/Order/Minimal.lean", "def_pos": [35, 5], "def_end_pos": [35, 13]}, {"full_name": "Set.mem_sep_... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Module/Torsion.lean | Submodule.torsionBy.mk_ideal_smul | [
581,
1
] | [
583,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Polynomial/Basic.lean | Polynomial.exists_iff_exists_finsupp | [
92,
1
] | [
94,
55
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/SetTheory/Ordinal/FixedPoint.lean | Ordinal.nfp_add_eq_mul_omega | [
574,
1
] | [
578,
45
] | [{"tactic": "apply le_antisymm (nfp_le_fp (add_isNormal a).monotone hba _)", "annotated_tactic": ["apply <a>le_antisymm</a> (<a>nfp_le_fp</a> (<a>add_isNormal</a> a).<a>monotone</a> hba _)", [{"full_name": "le_antisymm", "def_path": "Mathlib/Init/Order/Defs.lean", "def_pos": [188, 9], "def_end_pos": [188, 20]}, {"full_... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/PiTensorProduct.lean | PiTensorProduct.smul_tprodCoeff' | [
241,
1
] | [
242,
57
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/InnerProductSpace/OfNorm.lean | InnerProductSpaceable.add_left_aux1 | [
166,
9
] | [
169,
87
] | [{"tactic": "rw [eq_sub_iff_add_eq, eq_div_iff (two_ne_zero' \u211d), mul_comm _ (2 : \u211d), eq_comm]", "annotated_tactic": ["rw [<a>eq_sub_iff_add_eq</a>, <a>eq_div_iff</a> (<a>two_ne_zero'</a> \u211d), <a>mul_comm</a> _ (2 : \u211d), <a>eq_comm</a>]", [{"full_name": "eq_sub_iff_add_eq", "def_path": "Mathlib/Algebra... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/ContinuousFunction/Basic.lean | ContinuousMap.coe_comp | [
238,
1
] | [
239,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/IsTensorProduct.lean | IsTensorProduct.inductionOn | [
122,
1
] | [
134,
30
] | [{"tactic": "rw [\u2190 h.equiv.right_inv m]", "annotated_tactic": ["rw [\u2190 h.equiv.right_inv m]", []], "state_before": "R : Type u_1\ninst\u271d\u00b9\u2074 : CommRing R\nM\u2081 : Type u_2\nM\u2082 : Type u_3\nM : Type u_4\nM' : Type u_5\ninst\u271d\u00b9\u00b3 : AddCommMonoid M\u2081\ninst\u271d\u00b9\u00b2 : Ad... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/InnerProductSpace/Basic.lean | real_inner_le_norm | [
1110,
1
] | [
1111,
56
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Measure/OuterMeasure.lean | MeasureTheory.OuterMeasure.coe_smul | [
306,
1
] | [
307,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Finset/Lattice.lean | Finset.induction_on_min | [
1734,
1
] | [
1736,
40
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/BigOperators/Basic.lean | Finset.sum_multiset_singleton | [
198,
1
] | [
199,
62
] | [{"tactic": "simp only [sum_eq_multiset_sum, Multiset.sum_map_singleton]", "annotated_tactic": ["simp only [<a>sum_eq_multiset_sum</a>, <a>Multiset.sum_map_singleton</a>]", [{"full_name": "Finset.sum_eq_multiset_sum", "def_path": "Mathlib/Algebra/BigOperators/Basic.lean", "def_pos": [183, 3], "def_end_pos": [183, 14]},... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Function.lean | Function.invFunOn_apply_eq | [
1251,
1
] | [
1252,
26
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Logic/Equiv/Fin.lean | coe_finRotate_of_ne_last | [
447,
1
] | [
451,
35
] | [{"tactic": "rw [finRotate_succ_apply]", "annotated_tactic": ["rw [<a>finRotate_succ_apply</a>]", [{"full_name": "finRotate_succ_apply", "def_path": "Mathlib/Logic/Equiv/Fin.lean", "def_pos": [432, 17], "def_end_pos": [432, 37]}]], "state_before": "m n : \u2115\ni : Fin (Nat.succ n)\nh : i \u2260 Fin.last n\n\u22a2 \u2... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/SpecialFunctions/Log/Base.lean | Real.logb_injOn_pos_of_base_lt_one | [
358,
1
] | [
359,
58
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/Ideal/Basic.lean | Ideal.not_isPrime_iff | [
269,
1
] | [
275,
29
] | [{"tactic": "simp_rw [Ideal.isPrime_iff, not_and_or, Ne.def, Classical.not_not, not_forall, not_or]", "annotated_tactic": ["simp_rw [<a>Ideal.isPrime_iff</a>, <a>not_and_or</a>, <a>Ne.def</a>, <a>Classical.not_not</a>, <a>not_forall</a>, <a>not_or</a>]", [{"full_name": "Ideal.isPrime_iff", "def_path": "Mathlib/RingTheo... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Polynomial/Basic.lean | Polynomial.ofFinsupp_add | [
164,
1
] | [
165,
35
] | [{"tactic": "rw [add_def]", "annotated_tactic": ["rw [<a>add_def</a>]", [{"full_name": "_private.Mathlib.Data.Polynomial.Basic.0.Polynomial.add_def", "def_path": "Mathlib/Data/Polynomial/Basic.lean", "def_pos": [1, 1], "def_end_pos": [1, 1]}]], "state_before": "R : Type u\na\u271d b\u271d : R\nm n : \u2115\ninst\u271d ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/Polynomial/Pochhammer.lean | ascPochhammer_succ_eval | [
126,
1
] | [
129,
42
] | [{"tactic": "rw [ascPochhammer_succ_right, mul_add, eval_add, eval_mul_X, \u2190 Nat.cast_comm, \u2190 C_eq_nat_cast,\n eval_C_mul, Nat.cast_comm, \u2190 mul_add]", "annotated_tactic": ["rw [<a>ascPochhammer_succ_right</a>, <a>mul_add</a>, <a>eval_add</a>, <a>eval_mul_X</a>, \u2190 <a>Nat.cast_comm</a>, \u2190 <a>C_eq... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Order.lean | IsOpen.mono | [
243,
1
] | [
243,
79
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/Lagrange.lean | Lagrange.basisDivisor_self | [
153,
1
] | [
154,
67
] | [{"tactic": "simp only [basisDivisor, sub_self, inv_zero, map_zero, zero_mul]", "annotated_tactic": ["simp only [<a>basisDivisor</a>, <a>sub_self</a>, <a>inv_zero</a>, <a>map_zero</a>, <a>zero_mul</a>]", [{"full_name": "Lagrange.basisDivisor", "def_path": "Mathlib/LinearAlgebra/Lagrange.lean", "def_pos": [149, 5], "def... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Geometry/Euclidean/Circumcenter.lean | EuclideanGeometry.existsUnique_dist_eq_of_insert | [
93,
1
] | [
184,
9
] | [{"tactic": "haveI : Nonempty s := Set.Nonempty.to_subtype (hnps.mono hps)", "annotated_tactic": ["haveI : <a>Nonempty</a> s := <a>Set.Nonempty.to_subtype</a> (hnps.mono hps)", [{"full_name": "Nonempty", "def_path": "lake-packages/lean4/src/lean/Init/Prelude.lean", "def_pos": [686, 17], "def_end_pos": [686, 25]}, {"ful... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/CovariantAndContravariant.lean | covariant_le_iff_contravariant_lt | [
306,
1
] | [
309,
57
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Filter/AtTopBot.lean | Filter.inf_map_atTop_neBot_iff | [
495,
1
] | [
497,
81
] | [{"tactic": "simp_rw [inf_neBot_iff_frequently_left, frequently_map, frequently_atTop]", "annotated_tactic": ["simp_rw [<a>inf_neBot_iff_frequently_left</a>, <a>frequently_map</a>, <a>frequently_atTop</a>]", [{"full_name": "Filter.inf_neBot_iff_frequently_left", "def_path": "Mathlib/Order/Filter/Bases.lean", "def_pos":... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Polynomial/EraseLead.lean | Polynomial.eraseLead_natDegree_le_aux | [
185,
1
] | [
186,
45
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Combinatorics/Colex.lean | Colex.empty_toColex_lt | [
333,
1
] | [
339,
40
] | [{"tactic": "rw [Colex.lt_def]", "annotated_tactic": ["rw [<a>Colex.lt_def</a>]", [{"full_name": "Colex.lt_def", "def_path": "Mathlib/Combinatorics/Colex.lean", "def_pos": [91, 9], "def_end_pos": [91, 21]}]], "state_before": "\u03b1 : Type u_1\ninst\u271d : LinearOrder \u03b1\nA : Finset \u03b1\nhA : Finset.Nonempty A\... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/List/Lattice.lean | List.inter_eq_nil_iff_disjoint | [
169,
1
] | [
171,
6
] | [{"tactic": "simp only [eq_nil_iff_forall_not_mem, mem_inter_iff, not_and]", "annotated_tactic": ["simp only [<a>eq_nil_iff_forall_not_mem</a>, <a>mem_inter_iff</a>, <a>not_and</a>]", [{"full_name": "List.eq_nil_iff_forall_not_mem", "def_path": "lake-packages/std/Std/Data/List/Lemmas.lean", "def_pos": [315, 9], "def_en... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Preadditive/Biproducts.lean | CategoryTheory.Limits.biproduct.map_eq | [
239,
1
] | [
242,
86
] | [{"tactic": "ext", "annotated_tactic": ["ext", []], "state_before": "C : Type u\ninst\u271d\u2074 : Category.{v, u} C\ninst\u271d\u00b3 : Preadditive C\nJ : Type\ninst\u271d\u00b2 : Fintype J\nf\u271d : J \u2192 C\ninst\u271d\u00b9 : HasBiproduct f\u271d\ninst\u271d : HasFiniteBiproducts C\nf g : J \u2192 C\nh : (j : J... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Group/FundamentalDomain.lean | MeasureTheory.IsFundamentalDomain.mk_of_measure_univ_le | [
112,
1
] | [
128,
32
] | [{"tactic": "replace h_meas : \u2200 g : G, NullMeasurableSet (g \u2022 s) \u03bc := fun g => by\n rw [\u2190 inv_inv g, \u2190 preimage_smul]; exact h_meas.preimage (h_qmp g\u207b\u00b9)", "annotated_tactic": ["replace h_meas : \u2200 g : G, <a>NullMeasurableSet</a> (g \u2022 s) \u03bc := fun g => by\n rw [\u2... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Nat/Dist.lean | Nat.dist_tri_left' | [
61,
1
] | [
61,
94
] | [{"tactic": "rw [dist_comm]", "annotated_tactic": ["rw [<a>dist_comm</a>]", [{"full_name": "Nat.dist_comm", "def_path": "Mathlib/Data/Nat/Dist.lean", "def_pos": [28, 9], "def_end_pos": [28, 18]}]], "state_before": "n m : \u2115\n\u22a2 n \u2264 dist n m + m", "state_after": "n m : \u2115\n\u22a2 n \u2264 dist m n + m"}... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Abelian/Basic.lean | CategoryTheory.Abelian.imageIsoImage_hom_comp_image_ι | [
439,
1
] | [
440,
84
] | [{"tactic": "simp only [IsImage.isoExt_hom, IsImage.lift_\u03b9, imageStrongEpiMonoFactorisation_m]", "annotated_tactic": ["simp only [<a>IsImage.isoExt_hom</a>, <a>IsImage.lift_\u03b9</a>, <a>imageStrongEpiMonoFactorisation_m</a>]", [{"full_name": "CategoryTheory.Limits.IsImage.isoExt_hom", "def_path": "Mathlib/Catego... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Real/ENNReal.lean | ENNReal.lt_iff_exists_coe | [
746,
1
] | [
747,
28
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Calculus/BumpFunction/Normed.lean | ContDiffBump.normed_def | [
33,
1
] | [
34,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/NonUnitalSubring/Basic.lean | NonUnitalSubring.coe_map | [
427,
1
] | [
428,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Bitvec/Lemmas.lean | Bitvec.toNat_lt | [
90,
1
] | [
109,
19
] | [{"tactic": "suffices v.toNat + 1 \u2264 2 ^ n by simpa", "annotated_tactic": ["suffices v.toNat + 1 \u2264 2 ^ n by simpa", []], "state_before": "n : \u2115\nv : Bitvec n\n\u22a2 Bitvec.toNat v < 2 ^ n", "state_after": "n : \u2115\nv : Bitvec n\n\u22a2 Bitvec.toNat v + 1 \u2264 2 ^ n"}, {"tactic": "rw [toNat_eq_foldr_... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Integral/Average.lean | MeasureTheory.laverage_zero_measure | [
85,
1
] | [
85,
100
] | [{"tactic": "simp [laverage]", "annotated_tactic": ["simp [<a>laverage</a>]", [{"full_name": "MeasureTheory.laverage", "def_path": "Mathlib/MeasureTheory/Integral/Average.lean", "def_pos": [71, 19], "def_end_pos": [71, 27]}]], "state_before": "\u03b1 : Type u_1\nE : Type u_2\nF : Type u_3\nm0 : MeasurableSpace \u03b1\n... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Bounds/Basic.lean | le_isGLB_iff | [
314,
1
] | [
316,
6
] | [{"tactic": "rw [h.lowerBounds_eq]", "annotated_tactic": ["rw [h.lowerBounds_eq]", []], "state_before": "\u03b1 : Type u\n\u03b2 : Type v\n\u03b3 : Type w\n\u03b9 : Sort x\ninst\u271d\u00b9 : Preorder \u03b1\ninst\u271d : Preorder \u03b2\ns t : Set \u03b1\na b : \u03b1\nh : IsGLB s a\n\u22a2 b \u2264 a \u2194 b \u2208 ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/NormedSpace/Exponential.lean | expSeries_apply_eq | [
95,
1
] | [
96,
22
] | [{"tactic": "simp [expSeries]", "annotated_tactic": ["simp [<a>expSeries</a>]", [{"full_name": "expSeries", "def_path": "Mathlib/Analysis/NormedSpace/Exponential.lean", "def_pos": [77, 5], "def_end_pos": [77, 14]}]], "state_before": "\ud835\udd42 : Type u_1\n\ud835\udd38 : Type u_2\ninst\u271d\u2074 : Field \ud835\udd4... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Fin/Tuple/Basic.lean | Fin.append_right_nil | [
308,
1
] | [
314,
33
] | [{"tactic": "rw [hv, add_zero]", "annotated_tactic": ["rw [hv, <a>add_zero</a>]", [{"full_name": "add_zero", "def_path": "Mathlib/Algebra/Group/Defs.lean", "def_pos": [469, 3], "def_end_pos": [469, 14]}]], "state_before": "m n : \u2115\n\u03b1\u271d : Fin (n + 1) \u2192 Type u\nx : \u03b1\u271d 0\nq : (i : Fin (n + 1))... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Measure/OuterMeasure.lean | MeasureTheory.OuterMeasure.null_of_locally_null | [
156,
1
] | [
162,
65
] | [{"tactic": "choose! u hxu hu\u2080 using hs", "annotated_tactic": ["choose! u hxu hu\u2080 using hs", []], "state_before": "\u03b1 : Type u_1\n\u03b2 : Type u_2\nR : Type u_3\nR' : Type u_4\nms : Set (OuterMeasure \u03b1)\nm\u271d : OuterMeasure \u03b1\ninst\u271d\u00b9 : TopologicalSpace \u03b1\ninst\u271d : SecondCo... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/ContinuousOn.lean | mem_nhdsWithin_iff_eventuallyEq | [
125,
1
] | [
127,
89
] | [{"tactic": "simp_rw [mem_nhdsWithin_iff_eventually, eventuallyEq_set, mem_inter_iff, iff_self_and]", "annotated_tactic": ["simp_rw [<a>mem_nhdsWithin_iff_eventually</a>, <a>eventuallyEq_set</a>, <a>mem_inter_iff</a>, <a>iff_self_and</a>]", [{"full_name": "mem_nhdsWithin_iff_eventually", "def_path": "Mathlib/Topology/C... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/AddTorsor.lean | vsub_vadd_comm | [
265,
1
] | [
267,
7
] | [{"tactic": "rw [\u2190 @vsub_eq_zero_iff_eq G, vadd_vsub_assoc, vsub_vadd_eq_vsub_sub]", "annotated_tactic": ["rw [\u2190 @<a>vsub_eq_zero_iff_eq</a> G, <a>vadd_vsub_assoc</a>, <a>vsub_vadd_eq_vsub_sub</a>]", [{"full_name": "vsub_eq_zero_iff_eq", "def_path": "Mathlib/Algebra/AddTorsor.lean", "def_pos": [138, 9], "def_... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Preadditive/Projective.lean | CategoryTheory.Adjunction.projective_of_map_projective | [
214,
1
] | [
221,
10
] | [{"tactic": "haveI := Adjunction.leftAdjointPreservesColimits.{0, 0} adj", "annotated_tactic": ["haveI := <a>Adjunction.leftAdjointPreservesColimits</a>.{0, 0} adj", [{"full_name": "CategoryTheory.Adjunction.leftAdjointPreservesColimits", "def_path": "Mathlib/CategoryTheory/Adjunction/Limits.lean", "def_pos": [96, 5], ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/NormedSpace/PiLp.lean | LinearIsometryEquiv.piLpCongrLeft_single | [
731,
1
] | [
737,
53
] | [{"tactic": "funext x", "annotated_tactic": ["funext x", []], "state_before": "p : \u211d\u22650\u221e\n\ud835\udd5c : Type u_1\n\ud835\udd5c' : Type u_2\n\u03b9 : Type u_3\n\u03b1 : \u03b9 \u2192 Type u_4\n\u03b2 : \u03b9 \u2192 Type u_5\ninst\u271d\u00b9\u2070 : Fintype \u03b9\ninst\u271d\u2079 : Fact (1 \u2264 p)\ni... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Integral/FundThmCalculus.lean | intervalIntegral.integral_eq_sub_of_hasDerivAt | [
1206,
1
] | [
1209,
72
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Pointwise/Interval.lean | Set.preimage_const_mul_Iic | [
608,
1
] | [
609,
37
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Polynomial/Reverse.lean | Polynomial.eval₂_reverse_mul_pow | [
382,
1
] | [
384,
39
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Real/ENNReal.lean | ENNReal.top_div | [
1592,
1
] | [
1592,
87
] | [{"tactic": "simp [div_eq_mul_inv, top_mul']", "annotated_tactic": ["simp [<a>div_eq_mul_inv</a>, <a>top_mul'</a>]", [{"full_name": "div_eq_mul_inv", "def_path": "Mathlib/Algebra/Group/Defs.lean", "def_pos": [977, 9], "def_end_pos": [977, 23]}, {"full_name": "ENNReal.top_mul'", "def_path": "Mathlib/Data/Real/ENNReal.le... |
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