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/Algebra/Order/Field/Basic.lean | inv_strictAntiOn | [
633,
1
] | [
634,
26
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Complex/Basic.lean | Complex.I_mul_I | [
311,
1
] | [
312,
23
] | [{"tactic": "simp", "annotated_tactic": ["simp", []], "state_before": "\u22a2 (I * I).re = (-1).re \u2227 (I * I).im = (-1).im", "state_after": "no goals"}] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/List/Basic.lean | List.nth_take_of_succ | [
1966,
1
] | [
1967,
33
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Logic/IsEmpty.lean | isEmpty_ulift | [
192,
1
] | [
193,
49
] | [{"tactic": "simp only [\u2190 not_nonempty_iff, nonempty_ulift]", "annotated_tactic": ["simp only [\u2190 <a>not_nonempty_iff</a>, <a>nonempty_ulift</a>]", [{"full_name": "not_nonempty_iff", "def_path": "Mathlib/Logic/IsEmpty.lean", "def_pos": [137, 9], "def_end_pos": [137, 25]}, {"full_name": "nonempty_ulift", "def_p... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Complex/Basic.lean | Complex.int_cast_im | [
809,
1
] | [
809,
85
] | [{"tactic": "rw [\u2190 ofReal_int_cast, ofReal_im]", "annotated_tactic": ["rw [\u2190 <a>ofReal_int_cast</a>, <a>ofReal_im</a>]", [{"full_name": "Complex.ofReal_int_cast", "def_path": "Mathlib/Data/Complex/Basic.lean", "def_pos": [800, 9], "def_end_pos": [800, 24]}, {"full_name": "Complex.ofReal_im", "def_path": "Math... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Logic/Basic.lean | ULift.down_inj | [
74,
9
] | [
75,
54
] | [{"tactic": "rw [h]", "annotated_tactic": ["rw [h]", []], "state_before": "\u03b1 : Type u_1\na b : ULift.{u_2, u_1} \u03b1\nh : a = b\n\u22a2 a.down = b.down", "state_after": "no goals"}] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Homeomorph.lean | Homeomorph.prodComm_symm | [
547,
1
] | [
548,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/UniformSpace/Basic.lean | subset_comp_self_of_mem_uniformity | [
593,
1
] | [
594,
42
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Computability/Partrec.lean | Computable.vector_head | [
379,
1
] | [
380,
30
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Probability/Kernel/Basic.lean | ProbabilityTheory.kernel.IsMarkovKernel.comapRight | [
583,
1
] | [
588,
13
] | [{"tactic": "refine' \u27e8fun a => \u27e8_\u27e9\u27e9", "annotated_tactic": ["refine' \u27e8fun a => \u27e8_\u27e9\u27e9", []], "state_before": "\u03b1 : Type u_1\n\u03b2 : Type u_2\n\u03b9 : Type u_3\nm\u03b1 : MeasurableSpace \u03b1\nm\u03b2 : MeasurableSpace \u03b2\n\u03ba\u271d : { x // x \u2208 kernel \u03b1 \u0... |
https://github.com/leanprover/std4 | 869c615eb10130c0637a7bc038e2b80253559913 | lake-packages/std/Std/Logic.lean | Or.imp_right | [
253,
1
] | [
253,
62
] | [] |
https://github.com/leanprover/std4 | 869c615eb10130c0637a7bc038e2b80253559913 | lake-packages/std/Std/Data/Fin/Lemmas.lean | Fin.rev_eq | [
137,
1
] | [
141,
41
] | [{"tactic": "ext", "annotated_tactic": ["ext", []], "state_before": "n a : Nat\ni : Fin (n + 1)\nh : n = a + \u2191i\n\u22a2 rev i = { val := a, isLt := (_ : a < Nat.succ n) }", "state_after": "case h\nn a : Nat\ni : Fin (n + 1)\nh : n = a + \u2191i\n\u22a2 \u2191(rev i) = \u2191{ val := a, isLt := (_ : a < Nat.succ n)... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Associated.lean | Associates.units_eq_one | [
892,
1
] | [
893,
43
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Finset/Card.lean | Finset.card_insert_le | [
113,
1
] | [
117,
34
] | [{"tactic": "by_cases h : a \u2208 s", "annotated_tactic": ["by_cases h : a \u2208 s", []], "state_before": "\u03b1 : Type u_1\n\u03b2 : Type u_2\ns\u271d t : Finset \u03b1\na\u271d b : \u03b1\ninst\u271d : DecidableEq \u03b1\na : \u03b1\ns : Finset \u03b1\n\u22a2 card (insert a s) \u2264 card s + 1", "state_after": "c... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/List/Rdrop.lean | List.rdropWhile_eq_self_iff | [
165,
1
] | [
173,
30
] | [{"tactic": "simp only [rdropWhile, reverse_eq_iff, dropWhile_eq_self_iff, getLast_eq_get]", "annotated_tactic": ["simp only [<a>rdropWhile</a>, <a>reverse_eq_iff</a>, <a>dropWhile_eq_self_iff</a>, <a>getLast_eq_get</a>]", [{"full_name": "List.rdropWhile", "def_path": "Mathlib/Data/List/Rdrop.lean", "def_pos": [96, 5],... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/QPF/Univariate/Basic.lean | QPF.corecF_eq | [
377,
1
] | [
378,
100
] | [{"tactic": "rw [corecF, PFunctor.M.dest_corec]", "annotated_tactic": ["rw [<a>corecF</a>, <a>PFunctor.M.dest_corec</a>]", [{"full_name": "QPF.corecF", "def_path": "Mathlib/Data/QPF/Univariate/Basic.lean", "def_pos": [372, 5], "def_end_pos": [372, 11]}, {"full_name": "PFunctor.M.dest_corec", "def_path": "Mathlib/Data/P... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Finset/Pi.lean | Finset.pi_insert | [
92,
1
] | [
108,
73
] | [{"tactic": "apply eq_of_veq", "annotated_tactic": ["apply <a>eq_of_veq</a>", [{"full_name": "Finset.eq_of_veq", "def_path": "Mathlib/Data/Finset/Basic.lean", "def_pos": [151, 9], "def_end_pos": [151, 18]}]], "state_before": "\u03b1 : Type u_1\n\u03b2 : \u03b1 \u2192 Type u\n\u03b4 : \u03b1 \u2192 Sort v\ninst\u271d\u0... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Sets/Opens.lean | TopologicalSpace.Opens.carrier_eq_coe | [
85,
9
] | [
85,
63
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/BigOperators/Finprod.lean | finprod_mem_biUnion | [
1101,
1
] | [
1105,
86
] | [{"tactic": "haveI := hI.fintype", "annotated_tactic": ["haveI := hI.fintype", []], "state_before": "\u03b1 : Type u_1\n\u03b2 : Type u_2\n\u03b9 : Type u_3\nG : Type u_4\nM : Type u_5\nN : Type u_6\ninst\u271d\u00b9 : CommMonoid M\ninst\u271d : CommMonoid N\nf g : \u03b1 \u2192 M\na b : \u03b1\ns t\u271d : Set \u03b1\... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Option/Basic.lean | Option.casesOn'_none_coe | [
372,
1
] | [
373,
71
] | [{"tactic": "cases o <;> rfl", "annotated_tactic": ["cases o <;> rfl", []], "state_before": "\u03b1 : Type u_1\n\u03b2 : Type u_2\n\u03b3 : Type u_3\n\u03b4 : Type u_4\nf : Option \u03b1 \u2192 \u03b2\no : Option \u03b1\n\u22a2 casesOn' o (f none) (f \u2218 fun a => some a) = f o", "state_after": "no goals"}] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/HahnSeries.lean | HahnSeries.single_mul_single | [
918,
1
] | [
928,
23
] | [{"tactic": "ext x", "annotated_tactic": ["ext x", []], "state_before": "\u0393 : Type u_1\nR : Type u_2\ninst\u271d\u00b9 : OrderedCancelAddCommMonoid \u0393\ninst\u271d : NonUnitalNonAssocSemiring R\na b : \u0393\nr s : R\n\u22a2 \u2191(single a) r * \u2191(single b) s = \u2191(single (a + b)) (r * s)", "state_after"... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Int/Parity.lean | Int.odd_coe_nat | [
203,
1
] | [
204,
60
] | [{"tactic": "rw [odd_iff_not_even, Nat.odd_iff_not_even, even_coe_nat]", "annotated_tactic": ["rw [<a>odd_iff_not_even</a>, <a>Nat.odd_iff_not_even</a>, <a>even_coe_nat</a>]", [{"full_name": "Int.odd_iff_not_even", "def_path": "Mathlib/Data/Int/Parity.lean", "def_pos": [56, 9], "def_end_pos": [56, 25]}, {"full_name": "... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Order/Field/Power.lean | zpow_bit1_nonpos_iff | [
168,
1
] | [
169,
98
] | [{"tactic": "rw [le_iff_lt_or_eq, le_iff_lt_or_eq, zpow_bit1_neg_iff, zpow_eq_zero_iff (Int.bit1_ne_zero n)]", "annotated_tactic": ["rw [<a>le_iff_lt_or_eq</a>, <a>le_iff_lt_or_eq</a>, <a>zpow_bit1_neg_iff</a>, <a>zpow_eq_zero_iff</a> (<a>Int.bit1_ne_zero</a> n)]", [{"full_name": "le_iff_lt_or_eq", "def_path": "Mathlib... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Finset/Pointwise.lean | Finset.smul_subset_smul | [
1355,
1
] | [
1356,
16
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/NumberTheory/ZetaValues.lean | hasSum_zeta_four | [
368,
1
] | [
371,
53
] | [{"tactic": "convert hasSum_zeta_nat two_ne_zero using 1", "annotated_tactic": ["convert <a>hasSum_zeta_nat</a> <a>two_ne_zero</a> using 1", [{"full_name": "hasSum_zeta_nat", "def_path": "Mathlib/NumberTheory/ZetaValues.lean", "def_pos": [339, 9], "def_end_pos": [339, 24]}, {"full_name": "two_ne_zero", "def_path": "Mat... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Tactic/NormNum/Eq.lean | Mathlib.Meta.NormNum.isRat_eq_false | [
32,
1
] | [
36,
67
] | [{"tactic": "rw [Rat.invOf_denom_swap]", "annotated_tactic": ["rw [<a>Rat.invOf_denom_swap</a>]", [{"full_name": "Mathlib.Meta.NormNum.Rat.invOf_denom_swap", "def_path": "Mathlib/Tactic/NormNum/Eq.lean", "def_pos": [27, 9], "def_end_pos": [27, 29]}]], "state_before": "\u03b1 : Type u_1\ninst\u271d\u00b9 : Ring \u03b1\n... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/Matrix/SesquilinearForm.lean | mem_selfAdjointMatricesSubmodule | [
646,
1
] | [
649,
6
] | [{"tactic": "erw [mem_pairSelfAdjointMatricesSubmodule]", "annotated_tactic": ["erw [<a>mem_pairSelfAdjointMatricesSubmodule</a>]", [{"full_name": "mem_pairSelfAdjointMatricesSubmodule", "def_path": "Mathlib/LinearAlgebra/Matrix/SesquilinearForm.lean", "def_pos": [624, 9], "def_end_pos": [624, 45]}]], "state_before": "... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Group/Units.lean | Units.mul_inv_cancel_right | [
296,
1
] | [
297,
35
] | [{"tactic": "rw [mul_assoc, mul_inv, mul_one]", "annotated_tactic": ["rw [<a>mul_assoc</a>, <a>mul_inv</a>, <a>mul_one</a>]", [{"full_name": "mul_assoc", "def_path": "Mathlib/Algebra/Group/Defs.lean", "def_pos": [264, 9], "def_end_pos": [264, 18]}, {"full_name": "Units.mul_inv", "def_path": "Mathlib/Algebra/Group/Units... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Constructions/Prod/Basic.lean | MeasureTheory.Measure.prod_swap | [
572,
1
] | [
575,
92
] | [{"tactic": "refine' (prod_eq _).symm", "annotated_tactic": ["refine' (<a>prod_eq</a> _).<a>symm</a>", [{"full_name": "MeasureTheory.Measure.prod_eq", "def_path": "Mathlib/MeasureTheory/Constructions/Prod/Basic.lean", "def_pos": [565, 9], "def_end_pos": [565, 16]}, {"full_name": "Eq.symm", "def_path": "lake-packages/le... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/DFinsupp/Basic.lean | DFinsupp.single_zero | [
656,
1
] | [
657,
44
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Basic.lean | Set.forall_insert_of_forall | [
1243,
1
] | [
1245,
38
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/MatrixAlgebra.lean | MatrixEquivTensor.invFun_smul | [
103,
1
] | [
104,
35
] | [{"tactic": "simp [invFun, Finset.mul_sum]", "annotated_tactic": ["simp [<a>invFun</a>, <a>Finset.mul_sum</a>]", [{"full_name": "MatrixEquivTensor.invFun", "def_path": "Mathlib/RingTheory/MatrixAlgebra.lean", "def_pos": [89, 5], "def_end_pos": [89, 11]}, {"full_name": "Finset.mul_sum", "def_path": "Mathlib/Algebra/BigO... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Polynomial/Basic.lean | Polynomial.monomial_zero_right | [
448,
1
] | [
449,
24
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Finset/Basic.lean | Finset.union_eq_union_iff_right | [
1528,
1
] | [
1529,
23
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Multiset/LocallyFinite.lean | Multiset.Ico_disjoint_Ico | [
206,
1
] | [
209,
37
] | [{"tactic": "rw [mem_Ico] at hab hbc", "annotated_tactic": ["rw [<a>mem_Ico</a>] at hab hbc", [{"full_name": "Multiset.mem_Ico", "def_path": "Mathlib/Order/LocallyFinite.lean", "def_pos": [556, 9], "def_end_pos": [556, 16]}]], "state_before": "\u03b1 : Type u_1\ninst\u271d\u00b9 : PartialOrder \u03b1\ninst\u271d : Loca... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/Ideal/QuotientOperations.lean | Ideal.mem_quotient_iff_mem | [
173,
1
] | [
175,
53
] | [{"tactic": "rw [mem_quotient_iff_mem_sup, sup_eq_left.mpr hIJ]", "annotated_tactic": ["rw [<a>mem_quotient_iff_mem_sup</a>, sup_eq_left.mpr hIJ]", [{"full_name": "Ideal.mem_quotient_iff_mem_sup", "def_path": "Mathlib/RingTheory/Ideal/QuotientOperations.lean", "def_pos": [166, 9], "def_end_pos": [166, 33]}]], "state_be... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Probability/Process/HittingTime.lean | MeasureTheory.hitting_lt_iff | [
182,
1
] | [
192,
58
] | [{"tactic": "constructor <;> intro h'", "annotated_tactic": ["constructor <;> intro h'", []], "state_before": "\u03a9 : Type u_1\n\u03b2 : Type u_2\n\u03b9 : Type u_3\nm\u271d : MeasurableSpace \u03a9\ninst\u271d\u00b9 : ConditionallyCompleteLinearOrder \u03b9\nu : \u03b9 \u2192 \u03a9 \u2192 \u03b2\ns : Set \u03b2\nn ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/SetTheory/Cardinal/Ordinal.lean | Cardinal.succ_aleph0 | [
342,
1
] | [
342,
97
] | [{"tactic": "rw [\u2190 aleph_zero, \u2190 aleph_succ, Ordinal.succ_zero]", "annotated_tactic": ["rw [\u2190 <a>aleph_zero</a>, \u2190 <a>aleph_succ</a>, <a>Ordinal.succ_zero</a>]", [{"full_name": "Cardinal.aleph_zero", "def_path": "Mathlib/SetTheory/Cardinal/Ordinal.lean", "def_pos": [272, 9], "def_end_pos": [272, 19]... |
https://github.com/leanprover/std4 | 869c615eb10130c0637a7bc038e2b80253559913 | lake-packages/std/Std/Data/List/Lemmas.lean | List.disjoint_of_disjoint_append_right_left | [
1571,
1
] | [
1572,
32
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Monoidal/Preadditive.lean | CategoryTheory.leftDistributor_hom_comp_biproduct_π | [
161,
1
] | [
163,
77
] | [{"tactic": "simp [leftDistributor_hom, Preadditive.sum_comp, biproduct.\u03b9_\u03c0, comp_dite]", "annotated_tactic": ["simp [<a>leftDistributor_hom</a>, <a>Preadditive.sum_comp</a>, <a>biproduct.\u03b9_\u03c0</a>, <a>comp_dite</a>]", [{"full_name": "CategoryTheory.leftDistributor_hom", "def_path": "Mathlib/CategoryT... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Heyting/Boundary.lean | Coheyting.boundary_le_hnot | [
54,
1
] | [
55,
15
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Compactification/OnePoint.lean | OnePoint.inseparable_coe | [
403,
1
] | [
404,
47
] | [] |
https://github.com/leanprover/std4 | 869c615eb10130c0637a7bc038e2b80253559913 | lake-packages/std/Std/Data/HashMap/WF.lean | Std.HashMap.Imp.WF.mapVal | [
296,
1
] | [
306,
23
] | [{"tactic": "have \u27e8h\u2081, h\u2082\u27e9 := H.out", "annotated_tactic": ["have \u27e8h\u2081, h\u2082\u27e9 := H.out", []], "state_before": "\u03b1 : Type u_1\n\u03b2 : Type u_2\n\u03b3 : Type u_3\nf : \u03b1 \u2192 \u03b2 \u2192 \u03b3\ninst\u271d\u00b9 : BEq \u03b1\ninst\u271d : Hashable \u03b1\nm : Imp \u03b1 ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Constructions.lean | Filter.Tendsto.update | [
1277,
1
] | [
1280,
91
] | [{"tactic": "rcases eq_or_ne j i with (rfl | hj) <;> simp [*, hf.apply]", "annotated_tactic": ["rcases <a>eq_or_ne</a> j i with (rfl | hj) <;> simp [*, hf.apply]", [{"full_name": "eq_or_ne", "def_path": "Mathlib/Logic/Basic.lean", "def_pos": [209, 9], "def_end_pos": [209, 17]}]], "state_before": "\u03b1 : Type u\n\u03b... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Finset/Prod.lean | Finset.offDiag_mono | [
352,
1
] | [
353,
77
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Complex/ReImTopology.lean | Complex.quotientMap_im | [
65,
1
] | [
66,
55
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/List/Lex.lean | List.Lex.singleton_iff | [
70,
1
] | [
71,
35
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Pointwise/SMul.lean | Set.inter_smul_union_subset_union | [
216,
1
] | [
217,
34
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Normed/Group/Basic.lean | LipschitzWith.inv | [
1911,
1
] | [
1912,
41
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/List/Sigma.lean | List.dlookup_cons_ne | [
185,
1
] | [
186,
32
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/RelIso/Basic.lean | RelIso.map_rel_iff | [
665,
1
] | [
666,
17
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Calculus/ContDiffDef.lean | HasCompactSupport.iteratedFDeriv | [
1581,
1
] | [
1583,
76
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Integral/IntegralEqImproper.lean | MeasureTheory.integrable_of_intervalIntegral_norm_tendsto | [
531,
1
] | [
536,
63
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/CubicDiscriminant.lean | Cubic.degree_of_a_eq_zero | [
310,
1
] | [
311,
57
] | [{"tactic": "simpa only [of_a_eq_zero ha] using degree_quadratic_le", "annotated_tactic": ["simpa only [<a>of_a_eq_zero</a> ha] using <a>degree_quadratic_le</a>", [{"full_name": "Cubic.of_a_eq_zero", "def_path": "Mathlib/Algebra/CubicDiscriminant.lean", "def_pos": [137, 9], "def_end_pos": [137, 21]}, {"full_name": "Pol... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/SpecialFunctions/Trigonometric/Deriv.lean | DifferentiableWithinAt.sinh | [
1135,
1
] | [
1137,
51
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Real/ENNReal.lean | ENNReal.mul_lt_mul_left | [
1075,
1
] | [
1076,
42
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Ideal.lean | Order.Ideal.coe_subset_coe | [
150,
1
] | [
151,
10
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/PrincipalIdealDomain.lean | IsPrincipalIdealRing.of_prime | [
502,
1
] | [
545,
99
] | [{"tactic": "rw [\u2190 nonPrincipals_eq_empty_iff, Set.eq_empty_iff_forall_not_mem]", "annotated_tactic": ["rw [\u2190 <a>nonPrincipals_eq_empty_iff</a>, <a>Set.eq_empty_iff_forall_not_mem</a>]", [{"full_name": "nonPrincipals_eq_empty_iff", "def_path": "Mathlib/RingTheory/PrincipalIdealDomain.lean", "def_pos": [481, 9... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/NormedSpace/Pointwise.lean | closure_thickening | [
286,
1
] | [
288,
70
] | [{"tactic": "rw [\u2190 cthickening_zero, cthickening_thickening le_rfl h\u03b4, zero_add]", "annotated_tactic": ["rw [\u2190 <a>cthickening_zero</a>, <a>cthickening_thickening</a> <a>le_rfl</a> h\u03b4, <a>zero_add</a>]", [{"full_name": "Metric.cthickening_zero", "def_path": "Mathlib/Topology/MetricSpace/HausdorffDist... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/ConditionallyCompleteLattice/Basic.lean | WithTop.coe_sSup' | [
111,
1
] | [
116,
22
] | [{"tactic": "change _ = ite _ _ _", "annotated_tactic": ["change _ = <a>ite</a> _ _ _", [{"full_name": "ite", "def_path": "lake-packages/lean4/src/lean/Init/Prelude.lean", "def_pos": [935, 21], "def_end_pos": [935, 24]}]], "state_before": "\u03b1 : Type u_1\n\u03b2 : Type u_2\n\u03b3 : Type u_3\n\u03b9 : Sort u_4\ninst... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/LiminfLimsup.lean | Filter.bliminf_sup_le_and_aux_right | [
1012,
1
] | [
1013,
40
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Lattice.lean | ofDual_min | [
981,
1
] | [
982,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Finite.lean | Set.Finite.ssubset_toFinset | [
213,
1
] | [
214,
49
] | [{"tactic": "rw [\u2190 Finset.coe_ssubset, Finite.coe_toFinset]", "annotated_tactic": ["rw [\u2190 <a>Finset.coe_ssubset</a>, <a>Finite.coe_toFinset</a>]", [{"full_name": "Finset.coe_ssubset", "def_path": "Mathlib/Data/Finset/Basic.lean", "def_pos": [411, 9], "def_end_pos": [411, 20]}, {"full_name": "Set.Finite.coe_to... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Pointwise/SMul.lean | Set.iUnion_smul_eq_setOf_exists | [
1003,
1
] | [
1004,
76
] | [{"tactic": "simp_rw [\u2190 iUnion_setOf, \u2190 iUnion_inv_smul, \u2190 preimage_smul, preimage]", "annotated_tactic": ["simp_rw [\u2190 <a>iUnion_setOf</a>, \u2190 <a>iUnion_inv_smul</a>, \u2190 <a>preimage_smul</a>, <a>preimage</a>]", [{"full_name": "Set.iUnion_setOf", "def_path": "Mathlib/Data/Set/Lattice.lean", "... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Finset/NoncommProd.lean | Finset.noncommProd_eq_pow_card | [
326,
1
] | [
330,
16
] | [{"tactic": "rw [noncommProd, Multiset.noncommProd_eq_pow_card _ _ m]", "annotated_tactic": ["rw [<a>noncommProd</a>, <a>Multiset.noncommProd_eq_pow_card</a> _ _ m]", [{"full_name": "Finset.noncommProd", "def_path": "Mathlib/Data/Finset/NoncommProd.lean", "def_pos": [242, 5], "def_end_pos": [242, 16]}, {"full_name": "M... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/AlgebraicGeometry/PrimeSpectrum/Basic.lean | PrimeSpectrum.gc | [
189,
1
] | [
192,
56
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/FieldTheory/IsAlgClosed/Basic.lean | IsAlgClosed.degree_eq_one_of_irreducible | [
157,
1
] | [
159,
76
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/MeasurableSpace/Basic.lean | Measurable.piecewise | [
336,
11
] | [
340,
31
] | [{"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\u03b4' : Type u_5\n\u03b9 : Sort u\u03b9\ns t u : Set \u03b1\nf g : \u03b1 \u2192 \u03b2\nm : MeasurableSpace \u03b1\nm\u03b2 : MeasurableSpace \u03b2\nx\u271d ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Order/SMul.lean | le_inv_smul_iff | [
266,
1
] | [
267,
57
] | [{"tactic": "rw [\u2190 smul_le_smul_iff_of_pos h, smul_inv_smul\u2080 h.ne']", "annotated_tactic": ["rw [\u2190 <a>smul_le_smul_iff_of_pos</a> h, <a>smul_inv_smul\u2080</a> h.ne']", [{"full_name": "smul_le_smul_iff_of_pos", "def_path": "Mathlib/Algebra/Order/SMul.lean", "def_pos": [251, 9], "def_end_pos": [251, 32]}, ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/FieldTheory/Separable.lean | isSeparable_iff | [
512,
1
] | [
514,
42
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Filter/Bases.lean | Filter.isCountablyGenerated_of_seq | [
1151,
1
] | [
1154,
33
] | [{"tactic": "rcases h with \u27e8x, rfl\u27e9", "annotated_tactic": ["rcases h with \u27e8x, rfl\u27e9", []], "state_before": "\u03b1 : Type u_1\n\u03b2 : Type u_2\n\u03b3 : Type u_3\n\u03b9 : Type u_4\n\u03b9' : Sort u_5\nf : Filter \u03b1\nh : \u2203 x, f = \u2a05 i, \ud835\udcdf (x i)\n\u22a2 IsCountablyGenerated f"... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/NumberTheory/Padics/Hensel.lean | soln_dist_to_a_lt_deriv | [
412,
9
] | [
417,
16
] | [{"tactic": "rw [soln_dist_to_a, div_lt_iff]", "annotated_tactic": ["rw [<a>soln_dist_to_a</a>, <a>div_lt_iff</a>]", [{"full_name": "_private.Mathlib.NumberTheory.Padics.Hensel.0.soln_dist_to_a", "def_path": "Mathlib/NumberTheory/Padics/Hensel.lean", "def_pos": [409, 17], "def_end_pos": [409, 31]}, {"full_name": "div_l... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Convex/Side.lean | AffineSubspace.WSameSide.trans_sSameSide | [
536,
1
] | [
538,
26
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Normed/Group/Hom.lean | NormedAddGroupHom.opNorm_le_bound | [
279,
1
] | [
280,
37
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Measure/NullMeasurable.lean | MeasureTheory.NullMeasurableSet.compl_toMeasurable_compl_ae_eq | [
241,
1
] | [
242,
56
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/GroupTheory/Nilpotent.lean | nilpotencyClass_le_of_ker_le_center | [
525,
1
] | [
536,
61
] | [{"tactic": "haveI : IsNilpotent G := isNilpotent_of_ker_le_center f hf1 hH", "annotated_tactic": ["haveI : <a>IsNilpotent</a> G := <a>isNilpotent_of_ker_le_center</a> f hf1 hH", [{"full_name": "Group.IsNilpotent", "def_path": "Mathlib/GroupTheory/Nilpotent.lean", "def_pos": [168, 7], "def_end_pos": [168, 24]}, {"full_... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Sum/Order.lean | Sum.Lex.not_inr_lt_inl | [
372,
1
] | [
373,
14
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Finsupp/Order.lean | Finsupp.add_sub_single_one | [
277,
1
] | [
279,
84
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Category/Ring/Colimits.lean | CommRingCat.Colimits.cocone_naturality | [
238,
1
] | [
242,
21
] | [{"tactic": "ext", "annotated_tactic": ["ext", []], "state_before": "J : Type v\ninst\u271d : SmallCategory J\nF : J \u2964 CommRingCat\nj j' : J\nf : j \u27f6 j'\n\u22a2 F.map f \u226b coconeMorphism F j' = coconeMorphism F j", "state_after": "case w\nJ : Type v\ninst\u271d : SmallCategory J\nF : J \u2964 CommRingCat\... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Real/CauSeqCompletion.lean | CauSeq.Completion.mk_eq_zero | [
74,
1
] | [
76,
25
] | [{"tactic": "have : mk f = 0 \u2194 LimZero (f - 0) := Quotient.eq", "annotated_tactic": ["have : <a>mk</a> f = 0 \u2194 <a>LimZero</a> (f - 0) := <a>Quotient.eq</a>", [{"full_name": "CauSeq.Completion.mk", "def_path": "Mathlib/Data/Real/CauSeqCompletion.lean", "def_pos": [38, 5], "def_end_pos": [38, 7]}, {"full_name":... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/SpecialFunctions/Pow/Asymptotics.lean | tendsto_exp_div_rpow_atTop | [
138,
1
] | [
143,
46
] | [{"tactic": "cases' archimedean_iff_nat_lt.1 Real.instArchimedean s with n hn", "annotated_tactic": ["cases' <a>archimedean_iff_nat_lt</a>.1 <a>Real.instArchimedean</a> s with n hn", [{"full_name": "archimedean_iff_nat_lt", "def_path": "Mathlib/Algebra/Order/Archimedean.lean", "def_pos": [337, 9], "def_end_pos": [337, ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/SuccPred/Basic.lean | Order.Iic_pred_of_not_isMin | [
676,
1
] | [
677,
47
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/PNat/Xgcd.lean | PNat.XgcdType.reduce_isSpecial' | [
386,
1
] | [
387,
47
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Intervals/Group.lean | Set.sub_mem_Icc_iff_left | [
99,
1
] | [
100,
48
] | [] |
https://github.com/leanprover/std4 | 869c615eb10130c0637a7bc038e2b80253559913 | lake-packages/std/Std/Data/List/Lemmas.lean | List.exists_of_replaceF | [
1491,
1
] | [
1503,
57
] | [{"tactic": "simp [pb]", "annotated_tactic": ["simp [pb]", []], "state_before": "\u03b1 : Type u_1\np : \u03b1 \u2192 Option \u03b1\nb : \u03b1\nl : List \u03b1\na a' : \u03b1\nal : a \u2208 b :: l\npa : p a = some a'\nb' : \u03b1\npb : p b = some b'\n\u22a2 b :: l = [] ++ b :: l \u2227 replaceF p (b :: l) = [] ++ b' :... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/IsAdjoinRoot.lean | IsAdjoinRootMonic.coeff_apply_le | [
531,
1
] | [
538,
92
] | [{"tactic": "simp only [coeff, LinearMap.comp_apply, Finsupp.lcoeFun_apply, Finsupp.lmapDomain_apply,\n LinearEquiv.coe_coe, liftPoly\u2097_apply, LinearMap.coe_mk, h.basis_repr]", "annotated_tactic": ["simp only [<a>coeff</a>, <a>LinearMap.comp_apply</a>, <a>Finsupp.lcoeFun_apply</a>, <a>Finsupp.lmapDomain_apply</a>,... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/SpecialFunctions/Log/Deriv.lean | HasStrictFDerivAt.log | [
146,
1
] | [
148,
56
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/NumberTheory/Padics/PadicVal.lean | padicValNat_primes | [
582,
1
] | [
585,
69
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Concept.lean | Concept.swap_le_swap_iff | [
385,
1
] | [
386,
21
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Nat/Order/Basic.lean | Nat.min_eq_zero_iff | [
120,
1
] | [
120,
68
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/MetricSpace/Basic.lean | IsCompact.isBounded | [
2471,
1
] | [
2473,
29
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Function/LpSpace.lean | MeasureTheory.Lp.snorm_ne_top | [
202,
1
] | [
203,
22
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/GroupPower/Order.lean | one_le_sq_iff | [
587,
1
] | [
588,
51
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Finsupp/Basic.lean | Nat.cast_finsupp_prod | [
389,
1
] | [
391,
20
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/SpecialFunctions/Exp.lean | Continuous.cexp | [
111,
1
] | [
112,
61
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Monoidal/OfHasFiniteProducts.lean | CategoryTheory.monoidalOfHasFiniteProducts.tensorHom | [
77,
1
] | [
78,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/FieldTheory/RatFunc.lean | RatFunc.intDegree_add | [
1621,
1
] | [
1626,
24
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/BigOperators/Finprod.lean | finprod_curry₃ | [
1295,
1
] | [
1301,
11
] | [{"tactic": "rw [finprod_curry f h]", "annotated_tactic": ["rw [<a>finprod_curry</a> f h]", [{"full_name": "finprod_curry", "def_path": "Mathlib/Algebra/BigOperators/Finprod.lean", "def_pos": [1286, 9], "def_end_pos": [1286, 22]}]], "state_before": "\u03b1 : Type u_1\n\u03b2 : Type u_2\n\u03b9 : Type u_3\nG : Type u_4\... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/NormedSpace/Dual.lean | NormedSpace.norm_le_dual_bound | [
115,
1
] | [
125,
38
] | [{"tactic": "by_cases h : x = 0", "annotated_tactic": ["by_cases h : x = 0", []], "state_before": "\ud835\udd5c : Type v\ninst\u271d\u00b2 : IsROrC \ud835\udd5c\nE : Type u\ninst\u271d\u00b9 : NormedAddCommGroup E\ninst\u271d : NormedSpace \ud835\udd5c E\nx : E\nM : \u211d\nhMp : 0 \u2264 M\nhM : \u2200 (f : Dual \ud83... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/NumberTheory/Padics/Hensel.lean | padic_polynomial_dist | [
42,
1
] | [
48,
27
] | [{"tactic": "simp [hz]", "annotated_tactic": ["simp [hz]", []], "state_before": "p : \u2115\ninst\u271d : Fact (Nat.Prime p)\nF : Polynomial \u2124_[p]\nx y z : \u2124_[p]\nhz : Polynomial.eval x F - Polynomial.eval y F = z * (x - y)\n\u22a2 \u2016Polynomial.eval x F - Polynomial.eval y F\u2016 = \u2016z\u2016 * \u2016... |
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