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/Nat/Log.lean | Nat.log_one_right | [
82,
1
] | [
83,
35
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/GroupTheory/FreeAbelianGroup.lean | FreeAbelianGroup.lift_neg' | [
184,
1
] | [
185,
74
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Measure/MeasureSpace.lean | MeasureTheory.Measure.countable_meas_pos_of_disjoint_of_meas_iUnion_ne_top₀ | [
3459,
1
] | [
3475,
98
] | [{"tactic": "set posmeas := { i : \u03b9 | 0 < \u03bc (As i) } with posmeas_def", "annotated_tactic": ["set posmeas := { i : \u03b9 | 0 < \u03bc (As i) } with posmeas_def", []], "state_before": "\u03b1 : Type u_1\n\u03b2 : Type u_2\n\u03b3 : Type u_3\n\u03b4 : Type u_4\n\u03b9\u271d : Type u_5\nR : Type u_6\nR' : Type ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Nat/Choose/Factorization.lean | Nat.pow_factorization_choose_le | [
51,
1
] | [
52,
54
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Limits/Constructions/ZeroObjects.lean | CategoryTheory.Limits.coprodZeroIso_inv | [
152,
1
] | [
153,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/CliffordAlgebra/Fold.lean | CliffordAlgebra.foldr_reverse | [
107,
1
] | [
109,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Finset/Lattice.lean | Finset.inf'_apply | [
1105,
11
] | [
1108,
50
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/BigOperators/Basic.lean | RingHom.map_multiset_prod | [
249,
11
] | [
251,
24
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Algebra/Module/Basic.lean | ContinuousLinearMap.sub_apply' | [
1381,
1
] | [
1382,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/ContinuousFunction/Bounded.lean | BoundedContinuousFunction.neg_apply | [
954,
1
] | [
954,
41
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Order/Basic.lean | nhdsWithin_Ioi_neBot' | [
2463,
1
] | [
2465,
65
] | [{"tactic": "rwa [closure_Ioi' H\u2081]", "annotated_tactic": ["rwa [<a>closure_Ioi'</a> H\u2081]", [{"full_name": "closure_Ioi'", "def_path": "Mathlib/Topology/Order/Basic.lean", "def_pos": [2295, 9], "def_end_pos": [2295, 21]}]], "state_before": "\u03b1 : Type u\n\u03b2 : Type v\n\u03b3 : Type w\ninst\u271d\u00b3 : T... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Complex/ReImTopology.lean | Complex.isOpenMap_im | [
57,
1
] | [
58,
53
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/SpecialFunctions/Log/Base.lean | Real.strictAntiOn_logb | [
253,
1
] | [
257,
53
] | [{"tactic": "rintro x (hx : x < 0) y (hy : y < 0) hxy", "annotated_tactic": ["rintro x (hx : x < 0) y (hy : y < 0) hxy", []], "state_before": "b x y : \u211d\nhb : 1 < b\n\u22a2 StrictAntiOn (logb b) (Iio 0)", "state_after": "b x\u271d y\u271d : \u211d\nhb : 1 < b\nx : \u211d\nhx : x < 0\ny : \u211d\nhy : y < 0\nhxy : ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/List/AList.lean | AList.keys_subset_keys_of_entries_subset_entries | [
183,
1
] | [
190,
27
] | [{"tactic": "intro k hk", "annotated_tactic": ["intro k hk", []], "state_before": "\u03b1 : Type u\n\u03b2 : \u03b1 \u2192 Type v\ninst\u271d : DecidableEq \u03b1\ns\u2081 s\u2082 : AList \u03b2\nh : s\u2081.entries \u2286 s\u2082.entries\n\u22a2 keys s\u2081 \u2286 keys s\u2082", "state_after": "\u03b1 : Type u\n\u03b... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Finset/Pointwise.lean | Finset.zero_mul_subset | [
1091,
1
] | [
1091,
84
] | [{"tactic": "simp [subset_iff, mem_mul]", "annotated_tactic": ["simp [<a>subset_iff</a>, <a>mem_mul</a>]", [{"full_name": "Finset.subset_iff", "def_path": "Mathlib/Data/Finset/Basic.lean", "def_pos": [371, 9], "def_end_pos": [371, 19]}, {"full_name": "Finset.mem_mul", "def_path": "Mathlib/Data/Finset/Pointwise.lean", "... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/GroupTheory/Subsemigroup/Center.lean | Set.inv_mem_center | [
84,
1
] | [
86,
67
] | [{"tactic": "rw [\u2190 inv_inj, mul_inv_rev, inv_inv, \u2190 ha, mul_inv_rev, inv_inv]", "annotated_tactic": ["rw [\u2190 <a>inv_inj</a>, <a>mul_inv_rev</a>, <a>inv_inv</a>, \u2190 ha, <a>mul_inv_rev</a>, <a>inv_inv</a>]", [{"full_name": "inv_inj", "def_path": "Mathlib/Algebra/Group/Basic.lean", "def_pos": [257, 9], "... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Category/TopCat/EpiMono.lean | TopCat.mono_iff_injective | [
38,
1
] | [
45,
35
] | [{"tactic": "suffices Mono f \u2194 Mono ((forget TopCat).map f) by\n rw [this, CategoryTheory.mono_iff_injective]\n rfl", "annotated_tactic": ["suffices <a>Mono</a> f \u2194 <a>Mono</a> ((<a>forget</a> <a>TopCat</a>).<a>map</a> f) by\n rw [this, <a>CategoryTheory.mono_iff_injective</a>]\n rfl", [{"full_name": ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/AlgebraicTopology/DoldKan/PInfty.lean | AlgebraicTopology.DoldKan.PInfty_f_comp_QInfty_f | [
130,
1
] | [
133,
29
] | [{"tactic": "dsimp only [QInfty]", "annotated_tactic": ["dsimp only [<a>QInfty</a>]", [{"full_name": "AlgebraicTopology.DoldKan.QInfty", "def_path": "Mathlib/AlgebraicTopology/DoldKan/PInfty.lean", "def_pos": [61, 19], "def_end_pos": [61, 25]}]], "state_before": "C : Type u_1\ninst\u271d\u00b9 : Category.{u_2, u_1} C\n... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/Polynomial/Quotient.lean | Ideal.polynomialQuotientEquivQuotientPolynomial_symm_mk | [
146,
1
] | [
150,
47
] | [{"tactic": "rw [polynomialQuotientEquivQuotientPolynomial, RingEquiv.symm_mk, RingEquiv.coe_mk,\n Equiv.coe_fn_mk, Quotient.lift_mk, coe_eval\u2082RingHom, eval\u2082_eq_eval_map, \u2190 Polynomial.map_map,\n \u2190 eval\u2082_eq_eval_map, Polynomial.eval\u2082_C_X]", "annotated_tactic": ["rw [<a>polynomialQuotientE... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Filter/Basic.lean | Filter.comap_sup | [
2319,
1
] | [
2320,
78
] | [{"tactic": "rw [sup_eq_iSup, comap_iSup, iSup_bool_eq, Bool.cond_true, Bool.cond_false]", "annotated_tactic": ["rw [<a>sup_eq_iSup</a>, <a>comap_iSup</a>, <a>iSup_bool_eq</a>, <a>Bool.cond_true</a>, <a>Bool.cond_false</a>]", [{"full_name": "sup_eq_iSup", "def_path": "Mathlib/Order/CompleteLattice.lean", "def_pos": [15... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/MetricSpace/Equicontinuity.lean | Metric.equicontinuousAt_of_continuity_modulus | [
90,
1
] | [
97,
44
] | [{"tactic": "rw [Metric.equicontinuousAt_iff_right]", "annotated_tactic": ["rw [<a>Metric.equicontinuousAt_iff_right</a>]", [{"full_name": "Metric.equicontinuousAt_iff_right", "def_path": "Mathlib/Topology/MetricSpace/Equicontinuity.lean", "def_pos": [45, 9], "def_end_pos": [45, 35]}]], "state_before": "\u03b1 : Type u... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Measure/MeasureSpaceDef.lean | MeasureTheory.ae_eq_set_compl_compl | [
507,
1
] | [
508,
67
] | [{"tactic": "simp only [\u2190 measure_symmDiff_eq_zero_iff, compl_symmDiff_compl]", "annotated_tactic": ["simp only [\u2190 <a>measure_symmDiff_eq_zero_iff</a>, <a>compl_symmDiff_compl</a>]", [{"full_name": "MeasureTheory.measure_symmDiff_eq_zero_iff", "def_path": "Mathlib/MeasureTheory/Measure/MeasureSpaceDef.lean", ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Nat/Nth.lean | Nat.nth_eq_sInf | [
246,
1
] | [
254,
48
] | [{"tactic": "by_cases hn : \u2200 hf : (setOf p).Finite, n < hf.toFinset.card", "annotated_tactic": ["by_cases hn : \u2200 hf : (<a>setOf</a> p).<a>Finite</a>, n < hf.toFinset.card", [{"full_name": "setOf", "def_path": "Mathlib/Init/Set.lean", "def_pos": [41, 5], "def_end_pos": [41, 10]}, {"full_name": "Set.Finite", "d... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Finset/Lattice.lean | Finset.map_ofDual_min | [
1500,
1
] | [
1502,
34
] | [{"tactic": "rw [max_eq_sup_withBot, sup_image]", "annotated_tactic": ["rw [<a>max_eq_sup_withBot</a>, <a>sup_image</a>]", [{"full_name": "Finset.max_eq_sup_withBot", "def_path": "Mathlib/Data/Finset/Lattice.lean", "def_pos": [1251, 9], "def_end_pos": [1251, 27]}, {"full_name": "Finset.sup_image", "def_path": "Mathlib/... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Measure/MeasureSpaceDef.lean | MeasureTheory.ae_le_set_union | [
478,
1
] | [
480,
13
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Init/Data/Bool/Lemmas.lean | Bool.false_xor | [
65,
1
] | [
65,
70
] | [{"tactic": "cases b <;> simp", "annotated_tactic": ["cases b <;> simp", []], "state_before": "b : Bool\n\u22a2 xor false b = b", "state_after": "no goals"}] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Lie/SkewAdjoint.lean | skewAdjointLieSubalgebraEquiv_symm_apply | [
83,
1
] | [
85,
39
] | [{"tactic": "simp [skewAdjointLieSubalgebraEquiv]", "annotated_tactic": ["simp [<a>skewAdjointLieSubalgebraEquiv</a>]", [{"full_name": "skewAdjointLieSubalgebraEquiv", "def_path": "Mathlib/Algebra/Lie/SkewAdjoint.lean", "def_pos": [67, 5], "def_end_pos": [67, 34]}]], "state_before": "R : Type u\nM : Type v\ninst\u271d\... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/BigOperators/Ring.lean | Finset.prod_powerset_insert | [
244,
1
] | [
256,
77
] | [{"tactic": "rw [powerset_insert, Finset.prod_union, Finset.prod_image]", "annotated_tactic": ["rw [<a>powerset_insert</a>, <a>Finset.prod_union</a>, <a>Finset.prod_image</a>]", [{"full_name": "Finset.powerset_insert", "def_path": "Mathlib/Data/Finset/Powerset.lean", "def_pos": [98, 9], "def_end_pos": [98, 24]}, {"full... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/BigOperators/Finsupp.lean | Finsupp.sum_apply | [
321,
1
] | [
323,
25
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/NumberTheory/Padics/PadicNumbers.lean | Padic.valuation_one | [
1039,
1
] | [
1046,
7
] | [{"tactic": "change dite (CauSeq.const (padicNorm p) 1 \u2248 _) _ _ = _", "annotated_tactic": ["change <a>dite</a> (<a>CauSeq.const</a> (<a>padicNorm</a> p) 1 \u2248 _) _ _ = _", [{"full_name": "dite", "def_path": "lake-packages/lean4/src/lean/Init/Prelude.lean", "def_pos": [913, 21], "def_end_pos": [913, 25]}, {"full... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Vector/Basic.lean | Vector.head_ofFn | [
269,
1
] | [
270,
28
] | [{"tactic": "rw [\u2190 get_zero, get_ofFn]", "annotated_tactic": ["rw [\u2190 <a>get_zero</a>, <a>get_ofFn</a>]", [{"full_name": "Vector.get_zero", "def_path": "Mathlib/Data/Vector/Basic.lean", "def_pos": [264, 9], "def_end_pos": [264, 17]}, {"full_name": "Vector.get_ofFn", "def_path": "Mathlib/Data/Vector/Basic.lean"... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Complex/Exponential.lean | Complex.sin_mul_I | [
835,
1
] | [
841,
15
] | [{"tactic": "have h : I * sin (x * I) = -sinh x := by\n rw [mul_comm, \u2190 sinh_mul_I]\n ring_nf\n simp", "annotated_tactic": ["have h : <a>I</a> * <a>sin</a> (x * <a>I</a>) = -<a>sinh</a> x := by\n rw [<a>mul_comm</a>, \u2190 <a>sinh_mul_I</a>]\n ring_nf\n simp", [{"full_name": "Complex.I", "def_path": "... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/GroupTheory/Nilpotent.lean | lowerCentralSeries_map_subtype_le | [
448,
1
] | [
455,
61
] | [{"tactic": "induction' n with d hd", "annotated_tactic": ["induction' n with d hd", []], "state_before": "G : Type u_1\ninst\u271d\u00b9 : Group G\nH\u271d : Subgroup G\ninst\u271d : Normal H\u271d\nH : Subgroup G\nn : \u2115\n\u22a2 Subgroup.map (Subgroup.subtype H) (lowerCentralSeries { x // x \u2208 H } n) \u2264 l... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/NumberTheory/Multiplicity.lean | multiplicity.Int.pow_add_pow | [
220,
1
] | [
224,
40
] | [{"tactic": "rw [\u2190 sub_neg_eq_add] at hxy", "annotated_tactic": ["rw [\u2190 <a>sub_neg_eq_add</a>] at hxy", [{"full_name": "sub_neg_eq_add", "def_path": "Mathlib/Algebra/Group/Basic.lean", "def_pos": [453, 3], "def_end_pos": [453, 14]}]], "state_before": "R : Type u_1\nn\u271d : \u2115\ninst\u271d : CommRing R\na... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Filter/Bases.lean | Filter.isCountablyGenerated_principal | [
1173,
1
] | [
1174,
60
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Nat/Digits.lean | Nat.digits_zero | [
89,
1
] | [
90,
74
] | [{"tactic": "rcases b with (_ | \u27e8_ | \u27e8_\u27e9\u27e9) <;> simp [digits, digitsAux0, digitsAux1]", "annotated_tactic": ["rcases b with (_ | \u27e8_ | \u27e8_\u27e9\u27e9) <;> simp [<a>digits</a>, <a>digitsAux0</a>, <a>digitsAux1</a>]", [{"full_name": "Nat.digits", "def_path": "Mathlib/Data/Nat/Digits.lean", "de... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/QuadraticForm/TensorProduct/Isometries.lean | QuadraticForm.tmul_comp_tensorComm | [
79,
1
] | [
86,
21
] | [{"tactic": "refine (QuadraticForm.associated_rightInverse R).injective ?_", "annotated_tactic": ["refine (<a>QuadraticForm.associated_rightInverse</a> R).<a>injective</a> ?_", [{"full_name": "QuadraticForm.associated_rightInverse", "def_path": "Mathlib/LinearAlgebra/QuadraticForm/Basic.lean", "def_pos": [867, 9], "def... |
https://github.com/leanprover/std4 | 869c615eb10130c0637a7bc038e2b80253559913 | lake-packages/std/Std/Data/String/Lemmas.lean | String.Iterator.Valid.remainingBytes_le | [
648,
1
] | [
649,
97
] | [{"tactic": "simp [h.remainingBytes, h.toString, Nat.le_add_left]", "annotated_tactic": ["simp [h.remainingBytes, h.toString, <a>Nat.le_add_left</a>]", [{"full_name": "Nat.le_add_left", "def_path": "lake-packages/lean4/src/lean/Init/Data/Nat/Basic.lean", "def_pos": [344, 9], "def_end_pos": [344, 20]}]], "state_before":... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Separation.lean | T2Space.of_injective_continuous | [
1177,
1
] | [
1179,
56
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/MonoidAlgebra/Basic.lean | AddMonoidAlgebra.nonUnitalAlgHom_ext | [
1794,
1
] | [
1796,
76
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Real/ENNReal.lean | ENNReal.coe_ofNat | [
398,
1
] | [
399,
69
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Monotone/Monovary.lean | monovary_self | [
106,
1
] | [
106,
72
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/PFunctor/Multivariate/M.lean | MvPFunctor.M.dest'_eq_dest' | [
195,
1
] | [
198,
72
] | [{"tactic": "cases h\u2081.symm.trans h\u2082", "annotated_tactic": ["cases h\u2081.symm.trans h\u2082", []], "state_before": "n : \u2115\nP : MvPFunctor.{u} (n + 1)\n\u03b1 : TypeVec.{u} n\nx : PFunctor.M (last P)\na\u2081 : P.A\nf\u2081 : PFunctor.B (last P) a\u2081 \u2192 PFunctor.M (last P)\nh\u2081 : PFunctor.M.de... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/Ideal/Basic.lean | Ideal.zero_mem | [
53,
11
] | [
54,
23
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/List/Destutter.lean | List.destutter'_is_chain | [
82,
1
] | [
89,
36
] | [{"tactic": "rw [destutter']", "annotated_tactic": ["rw [<a>destutter'</a>]", [{"full_name": "List.destutter'", "def_path": "Mathlib/Data/List/Defs.lean", "def_pos": [377, 5], "def_end_pos": [377, 15]}]], "state_before": "\u03b1 : Type u_1\nl\u271d : List \u03b1\nR : \u03b1 \u2192 \u03b1 \u2192 Prop\ninst\u271d : Decid... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Function/SimpleFunc.lean | MeasureTheory.SimpleFunc.const_lintegral_restrict | [
1080,
1
] | [
1082,
78
] | [{"tactic": "rw [const_lintegral, Measure.restrict_apply MeasurableSet.univ, univ_inter]", "annotated_tactic": ["rw [<a>const_lintegral</a>, <a>Measure.restrict_apply</a> <a>MeasurableSet.univ</a>, <a>univ_inter</a>]", [{"full_name": "MeasureTheory.SimpleFunc.const_lintegral", "def_path": "Mathlib/MeasureTheory/Functio... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/BigOperators/Fin.lean | List.alternatingProd_eq_finset_prod | [
491,
1
] | [
505,
47
] | [{"tactic": "rw [alternatingProd, Finset.prod_eq_one]", "annotated_tactic": ["rw [<a>alternatingProd</a>, <a>Finset.prod_eq_one</a>]", [{"full_name": "List.alternatingProd", "def_path": "Mathlib/Data/List/Defs.lean", "def_pos": [102, 5], "def_end_pos": [102, 20]}, {"full_name": "Finset.prod_eq_one", "def_path": "Mathli... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Deprecated/Subgroup.lean | Group.closure_subgroup | [
564,
1
] | [
565,
78
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Order/Floor.lean | Nat.floor_sub_one | [
470,
1
] | [
471,
35
] | [{"tactic": "exact_mod_cast floor_sub_nat a 1", "annotated_tactic": ["exact_mod_cast <a>floor_sub_nat</a> a 1", [{"full_name": "Nat.floor_sub_nat", "def_path": "Mathlib/Algebra/Order/Floor.lean", "def_pos": [458, 9], "def_end_pos": [458, 22]}]], "state_before": "F : Type u_1\n\u03b1 : Type u_2\n\u03b2 : Type u_3\ninst\... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Convex/Caratheodory.lean | eq_pos_convex_span_of_mem_convexHull | [
167,
1
] | [
190,
29
] | [{"tactic": "rw [convexHull_eq_union] at hx", "annotated_tactic": ["rw [<a>convexHull_eq_union</a>] at hx", [{"full_name": "convexHull_eq_union", "def_path": "Mathlib/Analysis/Convex/Caratheodory.lean", "def_pos": [153, 9], "def_end_pos": [153, 28]}]], "state_before": "\ud835\udd5c : Type u_1\nE : Type u\ninst\u271d\u0... |
https://github.com/leanprover/std4 | 869c615eb10130c0637a7bc038e2b80253559913 | lake-packages/std/Std/Data/Nat/Lemmas.lean | Nat.mul_pow | [
835,
11
] | [
838,
89
] | [{"tactic": "induction n with\n| zero => rw [Nat.pow_zero, Nat.pow_zero, Nat.pow_zero, Nat.mul_one]\n| succ _ ih => rw [Nat.pow_succ, Nat.pow_succ, Nat.pow_succ, Nat.mul_mul_mul_comm, ih]", "annotated_tactic": ["induction n with\n | <a>zero</a> => rw [<a>Nat.pow_zero</a>, <a>Nat.pow_zero</a>, <a>Nat.pow_zero</a>, <a>N... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Module/Equiv.lean | LinearEquiv.coe_toLinearMap | [
221,
1
] | [
222,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/MvPolynomial/Rename.lean | MvPolynomial.rename_injective | [
114,
1
] | [
120,
69
] | [{"tactic": "have :\n (rename f : MvPolynomial \u03c3 R \u2192 MvPolynomial \u03c4 R) = Finsupp.mapDomain (Finsupp.mapDomain f) :=\n funext (rename_eq f)", "annotated_tactic": ["have :\n (<a>rename</a> f : <a>MvPolynomial</a> \u03c3 R \u2192 <a>MvPolynomial</a> \u03c4 R) = <a>Finsupp.mapDomain</a> (<a>Finsupp.mapD... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Pointwise/Basic.lean | Set.inv_insert | [
284,
1
] | [
285,
54
] | [{"tactic": "rw [insert_eq, union_inv, inv_singleton, insert_eq]", "annotated_tactic": ["rw [<a>insert_eq</a>, <a>union_inv</a>, <a>inv_singleton</a>, <a>insert_eq</a>]", [{"full_name": "Set.insert_eq", "def_path": "Mathlib/Data/Set/Basic.lean", "def_pos": [1310, 9], "def_end_pos": [1310, 18]}, {"full_name": "Set.union... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Polynomial/Eval.lean | Polynomial.X_comp | [
553,
1
] | [
554,
14
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/Finsupp.lean | Finsupp.lhom_ext' | [
75,
1
] | [
77,
46
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Measure/AEMeasurable.lean | MeasureTheory.Measure.restrict_map_of_aemeasurable | [
380,
1
] | [
394,
72
] | [{"tactic": "congr 1", "annotated_tactic": ["congr 1", []], "state_before": "\u03b9 : Type u_1\n\u03b1 : Type u_2\n\u03b2 : Type u_3\n\u03b3 : Type u_4\n\u03b4 : Type u_5\nR : Type u_6\nm0 : MeasurableSpace \u03b1\ninst\u271d\u00b2 : MeasurableSpace \u03b2\ninst\u271d\u00b9 : MeasurableSpace \u03b3\ninst\u271d : Measur... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/MetricSpace/Isometry.lean | Isometry.closedEmbedding | [
209,
1
] | [
211,
66
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Inseparable.lean | Inseparable.refl | [
340,
1
] | [
341,
16
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Multiset/Sort.lean | Multiset.mem_sort | [
50,
1
] | [
50,
95
] | [{"tactic": "rw [\u2190 mem_coe, sort_eq]", "annotated_tactic": ["rw [\u2190 <a>mem_coe</a>, <a>sort_eq</a>]", [{"full_name": "Multiset.mem_coe", "def_path": "Mathlib/Data/Multiset/Basic.lean", "def_pos": [226, 9], "def_end_pos": [226, 16]}, {"full_name": "Multiset.sort_eq", "def_path": "Mathlib/Data/Multiset/Sort.lean... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Geometry/Manifold/SmoothManifoldWithCorners.lean | modelWithCornersSelf_coe_symm | [
389,
1
] | [
390,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Monotone/Basic.lean | Monotone.strictMono_iff_injective | [
914,
1
] | [
915,
52
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/LiminfLimsup.lean | Filter.liminf_eq | [
450,
1
] | [
451,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Rat/Floor.lean | Rat.cast_fract | [
89,
1
] | [
90,
56
] | [{"tactic": "simp only [fract, cast_sub, cast_coe_int, floor_cast]", "annotated_tactic": ["simp only [<a>fract</a>, <a>cast_sub</a>, <a>cast_coe_int</a>, <a>floor_cast</a>]", [{"full_name": "Int.fract", "def_path": "Mathlib/Algebra/Order/Floor.lean", "def_pos": [629, 5], "def_end_pos": [629, 10]}, {"full_name": "Rat.ca... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Nat/Count.lean | Nat.lt_of_count_lt_count | [
125,
1
] | [
126,
34
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Nat/Bitwise.lean | Nat.lor_zero | [
376,
1
] | [
377,
66
] | [{"tactic": "simp only [HOr.hOr, OrOp.or, lor, bitwise_zero_right, ite_true]", "annotated_tactic": ["simp only [<a>HOr.hOr</a>, <a>OrOp.or</a>, <a>lor</a>, <a>bitwise_zero_right</a>, <a>ite_true</a>]", [{"full_name": "HOr.hOr", "def_path": "lake-packages/lean4/src/lean/Init/Prelude.lean", "def_pos": [1243, 3], "def_end... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Init/Data/Nat/Bitwise.lean | Nat.div2_bit | [
281,
1
] | [
284,
22
] | [{"tactic": "rw [bit_val, div2_val, Nat.add_comm, add_mul_div_left, div_eq_of_lt, Nat.zero_add]\n<;> cases b\n<;> exact by decide", "annotated_tactic": ["rw [<a>bit_val</a>, <a>div2_val</a>, <a>Nat.add_comm</a>, <a>add_mul_div_left</a>, <a>div_eq_of_lt</a>, <a>Nat.zero_add</a>]\n <;> cases b\n <;> exact by decide", [... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Geometry/Euclidean/Inversion/Basic.lean | EuclideanGeometry.inversion_eq_lineMap | [
54,
1
] | [
56,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Monoidal/Types/Basic.lean | CategoryTheory.associator_inv_apply | [
67,
1
] | [
69,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Hom/Units.lean | IsUnit.eq_on_inv | [
47,
1
] | [
50,
52
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Lattice.lean | Antitone.map_inf | [
1236,
1
] | [
1238,
28
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Function/StronglyMeasurable/Basic.lean | MeasureTheory.AEStronglyMeasurable.edist | [
1497,
11
] | [
1500,
76
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/DedekindDomain/Ideal.lean | FractionalIdeal.one_mem_inv_coe_ideal | [
448,
1
] | [
453,
27
] | [{"tactic": "rw [mem_inv_iff (coeIdeal_ne_zero.mpr hI)]", "annotated_tactic": ["rw [<a>mem_inv_iff</a> (coeIdeal_ne_zero.mpr hI)]", [{"full_name": "FractionalIdeal.mem_inv_iff", "def_path": "Mathlib/RingTheory/DedekindDomain/Ideal.lean", "def_pos": [88, 9], "def_end_pos": [88, 20]}]], "state_before": "R : Type u_1\nA :... |
https://github.com/leanprover/std4 | 869c615eb10130c0637a7bc038e2b80253559913 | lake-packages/std/Std/Data/Nat/Lemmas.lean | Nat.sub_pos_of_lt | [
404,
11
] | [
406,
58
] | [{"tactic": "apply Nat.lt_of_add_lt_add_right (b := m)", "annotated_tactic": ["apply <a>Nat.lt_of_add_lt_add_right</a> (b := m)", [{"full_name": "Nat.lt_of_add_lt_add_right", "def_path": "lake-packages/std/Std/Data/Nat/Lemmas.lean", "def_pos": [306, 19], "def_end_pos": [306, 41]}]], "state_before": "m n : Nat\nh : m < ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/SpecialFunctions/Integrals.lean | integral_cos_mul_complex | [
514,
1
] | [
528,
27
] | [{"tactic": "apply integral_eq_sub_of_hasDerivAt", "annotated_tactic": ["apply <a>integral_eq_sub_of_hasDerivAt</a>", [{"full_name": "intervalIntegral.integral_eq_sub_of_hasDerivAt", "def_path": "Mathlib/MeasureTheory/Integral/FundThmCalculus.lean", "def_pos": [1206, 9], "def_end_pos": [1206, 38]}]], "state_before": "a... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/List/Cycle.lean | Cycle.lists_coe | [
743,
1
] | [
744,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/WithBot.lean | WithBot.map_bot | [
152,
1
] | [
153,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/Matrix/ZPow.lean | Matrix.zpow_one_add | [
191,
1
] | [
192,
28
] | [{"tactic": "rw [zpow_add h, zpow_one]", "annotated_tactic": ["rw [<a>zpow_add</a> h, <a>zpow_one</a>]", [{"full_name": "Matrix.zpow_add", "def_path": "Mathlib/LinearAlgebra/Matrix/ZPow.lean", "def_pos": [168, 9], "def_end_pos": [168, 17]}, {"full_name": "zpow_one", "def_path": "Mathlib/Algebra/GroupPower/Basic.lean", ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/Alternating/Basic.lean | AlternatingMap.coe_compLinearMap | [
544,
1
] | [
546,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Basic.lean | Set.diff_diff_comm | [
1944,
1
] | [
1945,
19
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Order/Module.lean | eq_of_smul_eq_smul_of_neg_of_le | [
63,
1
] | [
65,
66
] | [{"tactic": "rw [\u2190 neg_neg c, neg_smul, neg_smul (-c), neg_inj] at hab", "annotated_tactic": ["rw [\u2190 <a>neg_neg</a> c, <a>neg_smul</a>, <a>neg_smul</a> (-c), <a>neg_inj</a>] at hab", [{"full_name": "neg_neg", "def_path": "Mathlib/Algebra/Group/Defs.lean", "def_pos": [799, 3], "def_end_pos": [799, 14]}, {"full... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/QuadraticForm/IsometryEquiv.lean | QuadraticForm.Equivalent.trans | [
124,
1
] | [
125,
43
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Intervals/OrdConnectedComponent.lean | Set.ordConnectedComponent_empty | [
67,
1
] | [
68,
53
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Fintype/Card.lean | Finite.exists_ne_map_eq_of_infinite | [
1174,
1
] | [
1176,
94
] | [{"tactic": "simpa only [Injective, not_forall, not_imp, and_comm] using not_injective_infinite_finite f", "annotated_tactic": ["simpa only [<a>Injective</a>, <a>not_forall</a>, <a>not_imp</a>, <a>and_comm</a>] using <a>not_injective_infinite_finite</a> f", [{"full_name": "Function.Injective", "def_path": "Mathlib/Init... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/VectorBundle/Basic.lean | VectorBundleCore.trivializationAt_coordChange_eq | [
825,
1
] | [
830,
38
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/Artinian.lean | isArtinian_of_le | [
78,
1
] | [
79,
74
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Hom/Equiv/Units/Basic.lean | Units.mulLeft_symm | [
71,
1
] | [
72,
25
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Control/Traversable/Basic.lean | ApplicativeTransformation.congr_fun | [
105,
11
] | [
107,
64
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Integral/SetToL1.lean | MeasureTheory.L1.SimpleFunc.setToL1S_congr | [
704,
1
] | [
707,
78
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/InnerProductSpace/Projection.lean | reflection_map_apply | [
775,
1
] | [
779,
74
] | [{"tactic": "simp [two_smul, reflection_apply, orthogonalProjection_map_apply f K x]", "annotated_tactic": ["simp [<a>two_smul</a>, <a>reflection_apply</a>, <a>orthogonalProjection_map_apply</a> f K x]", [{"full_name": "two_smul", "def_path": "Mathlib/Algebra/Module/Basic.lean", "def_pos": [102, 9], "def_end_pos": [102... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Limits/Shapes/ZeroMorphisms.lean | CategoryTheory.Limits.nonzero_image_of_nonzero | [
155,
1
] | [
156,
42
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Filter/Pointwise.lean | Filter.div_le_div_right | [
521,
11
] | [
522,
18
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Finsupp/Basic.lean | Finsupp.zero_not_mem_frange | [
989,
1
] | [
989,
97
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/Filtration.lean | Ideal.Filtration.sSup_N | [
142,
1
] | [
143,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/UpperLower/Basic.lean | LowerSet.coe_Iio | [
1271,
1
] | [
1272,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/GroupTheory/Submonoid/Inverses.lean | Submonoid.leftInv_eq_inv | [
228,
1
] | [
232,
41
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/GroupTheory/Submonoid/Pointwise.lean | AddSubmonoid.coe_pointwise_smul | [
369,
1
] | [
370,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Order/Module.lean | bddAbove_smul_iff_of_neg | [
254,
1
] | [
255,
46
] | [] |
https://github.com/leanprover/std4 | 869c615eb10130c0637a7bc038e2b80253559913 | lake-packages/std/Std/Data/List/Init/Lemmas.lean | List.mapM_cons | [
265,
9
] | [
266,
91
] | [{"tactic": "simp [\u2190 mapM'_eq_mapM, mapM']", "annotated_tactic": ["simp [\u2190 <a>mapM'_eq_mapM</a>, <a>mapM'</a>]", [{"full_name": "List.mapM'_eq_mapM", "def_path": "lake-packages/std/Std/Data/List/Init/Lemmas.lean", "def_pos": [257, 9], "def_end_pos": [257, 22]}, {"full_name": "List.mapM'", "def_path": "lake-pa... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Sites/Sieves.lean | CategoryTheory.Sieve.functorPullback_pushforward_le | [
687,
1
] | [
689,
42
] | [] |
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