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/LinearAlgebra/TensorAlgebra/ToTensorPower.lean | TensorAlgebra.ofDirectSum_of_tprod | [
87,
1
] | [
91,
40
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Geometry/Euclidean/Angle/Oriented/Affine.lean | Sbtw.oangle_eq_add_pi_right | [
616,
1
] | [
619,
66
] | [{"tactic": "rw [\u2190 h.oangle\u2083\u2082\u2081_eq_pi, oangle_add hp\u2081p\u2082 h.right_ne h.left_ne]", "annotated_tactic": ["rw [\u2190 h.oangle\u2083\u2082\u2081_eq_pi, <a>oangle_add</a> hp\u2081p\u2082 h.right_ne h.left_ne]", [{"full_name": "EuclideanGeometry.oangle_add", "def_path": "Mathlib/Geometry/Euclidean... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/Dual.lean | Submodule.dualCoannihilator_anti | [
914,
1
] | [
916,
42
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/Nilpotent.lean | isRadical_iff_span_singleton | [
152,
1
] | [
155,
67
] | [{"tactic": "simp_rw [IsRadical, \u2190 Ideal.mem_span_singleton]", "annotated_tactic": ["simp_rw [<a>IsRadical</a>, \u2190 <a>Ideal.mem_span_singleton</a>]", [{"full_name": "IsRadical", "def_path": "Mathlib/RingTheory/Nilpotent.lean", "def_pos": [143, 5], "def_end_pos": [143, 14]}, {"full_name": "Ideal.mem_span_single... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Lattice.lean | le_antisymm' | [
69,
1
] | [
70,
19
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/GroupTheory/QuotientGroup.lean | QuotientGroup.kerLift_injective | [
374,
1
] | [
376,
95
] | [{"tactic": "rw [leftRel_apply, mem_ker, \u03c6.map_mul, \u2190 h, \u03c6.map_inv, inv_mul_self]", "annotated_tactic": ["rw [<a>leftRel_apply</a>, <a>mem_ker</a>, \u03c6.map_mul, \u2190 h, \u03c6.map_inv, <a>inv_mul_self</a>]", [{"full_name": "QuotientGroup.leftRel_apply", "def_path": "Mathlib/GroupTheory/Coset.lean", ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Nat/Order/Basic.lean | Nat.pred_le_iff | [
221,
1
] | [
225,
30
] | [{"tactic": "cases m", "annotated_tactic": ["cases m", []], "state_before": "m n k l : \u2115\n\u22a2 m \u2264 succ n \u2192 pred m \u2264 n", "state_after": "case zero\nn k l : \u2115\n\u22a2 zero \u2264 succ n \u2192 pred zero \u2264 n\n\ncase succ\nn k l n\u271d : \u2115\n\u22a2 succ n\u271d \u2264 succ n \u2192 pre... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Convex/Contractible.lean | StarConvex.contractibleSpace | [
23,
11
] | [
38,
9
] | [{"tactic": "refine'\n (contractible_iff_id_nullhomotopic s).2\n \u27e8\u27e8x, h.mem hne\u27e9,\n \u27e8\u27e8\u27e8fun p => \u27e8p.1.1 \u2022 x + (1 - p.1.1) \u2022 (p.2 : E), _\u27e9, _\u27e9, fun x => _, fun x => _\u27e9\u27e9\u27e9", "annotated_tactic": ["refine'\n (<a>contractible_iff_id_nullhomotopi... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Matrix/Basic.lean | Matrix.diagonal_zero | [
455,
1
] | [
457,
18
] | [{"tactic": "ext", "annotated_tactic": ["ext", []], "state_before": "l : Type u_1\nm : Type u_2\nn : Type u_3\no : Type u_4\nm' : o \u2192 Type u_5\nn' : o \u2192 Type u_6\nR : Type u_7\nS : Type u_8\n\u03b1 : Type v\n\u03b2 : Type w\n\u03b3 : Type u_9\ninst\u271d\u00b9 : DecidableEq n\ninst\u271d : Zero \u03b1\n\u22a2... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Category/ModuleCat/Free.lean | ModuleCat.linearIndependent_shortExact | [
76,
1
] | [
84,
79
] | [{"tactic": "refine' linearIndependent_leftExact hv _ hse.mono hse.exact _", "annotated_tactic": ["refine' <a>linearIndependent_leftExact</a> hv _ hse.mono hse.exact _", [{"full_name": "ModuleCat.linearIndependent_leftExact", "def_path": "Mathlib/Algebra/Category/ModuleCat/Free.lean", "def_pos": [67, 9], "def_end_pos":... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Algebra/Module/Basic.lean | ContinuousLinearMap.ker_prod | [
1018,
1
] | [
1020,
59
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/MeasurableSpace/Basic.lean | measurable_piEquivPiSubtypeProd | [
1006,
1
] | [
1009,
57
] | [] |
https://github.com/leanprover/std4 | 869c615eb10130c0637a7bc038e2b80253559913 | lake-packages/std/Std/Data/Array/Init/Lemmas.lean | Array.append_data | [
205,
9
] | [
209,
52
] | [{"tactic": "rw [\u2190 append_eq_append]", "annotated_tactic": ["rw [\u2190 <a>append_eq_append</a>]", [{"full_name": "Array.append_eq_append", "def_path": "lake-packages/std/Std/Data/Array/Init/Lemmas.lean", "def_pos": [203, 17], "def_end_pos": [203, 33]}]], "state_before": "\u03b1 : Type u_1\narr arr' : Array \u03b1... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/List/AList.lean | AList.lookup_isSome | [
162,
1
] | [
163,
17
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Convex/Quasiconvex.lean | quasiconcaveOn_iff_min_le | [
133,
1
] | [
135,
48
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/ContinuousOn.lean | nhdsWithin_sUnion | [
250,
1
] | [
252,
48
] | [{"tactic": "rw [sUnion_eq_biUnion, nhdsWithin_biUnion hS]", "annotated_tactic": ["rw [<a>sUnion_eq_biUnion</a>, <a>nhdsWithin_biUnion</a> hS]", [{"full_name": "Set.sUnion_eq_biUnion", "def_path": "Mathlib/Data/Set/Lattice.lean", "def_pos": [1452, 9], "def_end_pos": [1452, 26]}, {"full_name": "nhdsWithin_biUnion", "def... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Order/CompleteField.lean | LinearOrderedField.inducedMap_inv_self | [
243,
1
] | [
244,
46
] | [{"tactic": "rw [inducedMap_inducedMap, inducedMap_self]", "annotated_tactic": ["rw [<a>inducedMap_inducedMap</a>, <a>inducedMap_self</a>]", [{"full_name": "LinearOrderedField.inducedMap_inducedMap", "def_path": "Mathlib/Algebra/Order/CompleteField.lean", "def_pos": [237, 9], "def_end_pos": [237, 30]}, {"full_name": "L... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/NormedSpace/Multilinear.lean | ContinuousMultilinearMap.norm_restr | [
798,
1
] | [
801,
66
] | [{"tactic": "apply MultilinearMap.mkContinuous_norm_le", "annotated_tactic": ["apply <a>MultilinearMap.mkContinuous_norm_le</a>", [{"full_name": "MultilinearMap.mkContinuous_norm_le", "def_path": "Mathlib/Analysis/NormedSpace/Multilinear.lean", "def_pos": [770, 9], "def_end_pos": [770, 44]}]], "state_before": "\ud835\u... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Quaternion.lean | QuaternionAlgebra.zero_im | [
182,
9
] | [
182,
57
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Real/Sqrt.lean | Real.continuous_sqrt | [
187,
1
] | [
188,
85
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Int/Cast/Basic.lean | Int.ofNat_bit1 | [
136,
1
] | [
137,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Geometry/Euclidean/Circumcenter.lean | EuclideanGeometry.circumcenter_eq_of_cospherical | [
848,
1
] | [
853,
32
] | [{"tactic": "rcases exists_circumcenter_eq_of_cospherical hd hc with \u27e8r, hr\u27e9", "annotated_tactic": ["rcases <a>exists_circumcenter_eq_of_cospherical</a> hd hc with \u27e8r, hr\u27e9", [{"full_name": "EuclideanGeometry.exists_circumcenter_eq_of_cospherical", "def_path": "Mathlib/Geometry/Euclidean/Circumcenter... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Instances/Real.lean | Real.cobounded_eq | [
81,
1
] | [
82,
88
] | [{"tactic": "simp only [\u2190 comap_dist_right_atTop (0 : \u211d), Real.dist_eq, sub_zero, comap_abs_atTop]", "annotated_tactic": ["simp only [\u2190 <a>comap_dist_right_atTop</a> (0 : \u211d), <a>Real.dist_eq</a>, <a>sub_zero</a>, <a>comap_abs_atTop</a>]", [{"full_name": "Metric.comap_dist_right_atTop", "def_path": "... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Lattice.lean | sup_le_sup_right | [
239,
1
] | [
240,
23
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/Dimension.lean | exists_linearIndependent_pair_of_one_lt_rank | [
1151,
1
] | [
1157,
16
] | [{"tactic": "obtain \u27e8y, hy\u27e9 := exists_linearIndependent_snoc_of_lt_rank (linearIndependent_unique ![x] hx) h", "annotated_tactic": ["obtain \u27e8y, hy\u27e9 := <a>exists_linearIndependent_snoc_of_lt_rank</a> (<a>linearIndependent_unique</a> ![x] hx) h", [{"full_name": "exists_linearIndependent_snoc_of_lt_ran... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Algebra/Order/MonotoneConvergence.lean | iSup_eq_of_tendsto | [
301,
1
] | [
304,
46
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Geometry/Euclidean/Inversion/ImageHyperplane.lean | EuclideanGeometry.inversion_mem_perpBisector_inversion_iff' | [
46,
1
] | [
50,
65
] | [{"tactic": "rcases eq_or_ne x c with rfl | hx", "annotated_tactic": ["rcases <a>eq_or_ne</a> x c with rfl | hx", [{"full_name": "eq_or_ne", "def_path": "Mathlib/Logic/Basic.lean", "def_pos": [209, 9], "def_end_pos": [209, 17]}]], "state_before": "V : Type u_1\nP : Type u_2\ninst\u271d\u00b3 : NormedAddCommGroup V\nins... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Measure/WithDensity.lean | MeasureTheory.ae_withDensity_iff_ae_restrict | [
231,
1
] | [
235,
47
] | [{"tactic": "rw [ae_withDensity_iff hf, ae_restrict_iff']", "annotated_tactic": ["rw [<a>ae_withDensity_iff</a> hf, <a>ae_restrict_iff'</a>]", [{"full_name": "MeasureTheory.ae_withDensity_iff", "def_path": "Mathlib/MeasureTheory/Measure/WithDensity.lean", "def_pos": [223, 9], "def_end_pos": [223, 27]}, {"full_name": "M... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/Derivation/Basic.lean | Derivation.ext | [
103,
1
] | [
104,
20
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/NumberTheory/Padics/PadicIntegers.lean | PadicInt.coe_int_eq | [
185,
1
] | [
187,
12
] | [{"tactic": "norm_cast", "annotated_tactic": ["norm_cast", []], "state_before": "p : \u2115\ninst\u271d : Fact (Nat.Prime p)\nz1 z2 : \u2124\n\u22a2 \u2191z1 = \u2191z2 \u2194 z1 = z2", "state_after": "no goals"}, {"tactic": "norm_cast", "annotated_tactic": ["norm_cast", []], "state_before": "p : \u2115\ninst\u271d : F... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Calculus/FDeriv/Analytic.lean | AnalyticOn.iterated_deriv | [
195,
1
] | [
199,
76
] | [{"tactic": "induction' n with n IH", "annotated_tactic": ["induction' n with n IH", []], "state_before": "\ud835\udd5c : Type u_1\ninst\u271d\u2075 : NontriviallyNormedField \ud835\udd5c\nE : Type u_2\ninst\u271d\u2074 : NormedAddCommGroup E\ninst\u271d\u00b3 : NormedSpace \ud835\udd5c E\nF : Type u_3\ninst\u271d\u00b... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Measure/Hausdorff.lean | MeasureTheory.hausdorffMeasure_prod_real | [
1067,
1
] | [
1070,
64
] | [{"tactic": "rw [\u2190 (volume_preserving_piFinTwo fun _ => \u211d).map_eq,\n \u2190 (hausdorffMeasure_measurePreserving_piFinTwo (fun _ => \u211d) _).map_eq,\n \u2190 hausdorffMeasure_pi_real, Fintype.card_fin, Nat.cast_two]", "annotated_tactic": ["rw [\u2190 (<a>volume_preserving_piFinTwo</a> fun _ => \u211d).<a>m... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Function/L1Space.lean | MeasureTheory.Integrable.ofReal | [
1183,
1
] | [
1186,
18
] | [{"tactic": "rw [\u2190 mem\u2112p_one_iff_integrable] at hf \u22a2", "annotated_tactic": ["rw [\u2190 <a>mem\u2112p_one_iff_integrable</a>] at hf \u22a2", [{"full_name": "MeasureTheory.mem\u2112p_one_iff_integrable", "def_path": "Mathlib/MeasureTheory/Function/L1Space.lean", "def_pos": [453, 9], "def_end_pos": [453, 3... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Calculus/IteratedDeriv.lean | iteratedDerivWithin_eq_iterate | [
198,
1
] | [
203,
56
] | [{"tactic": "induction' n with n IH generalizing x", "annotated_tactic": ["induction' n with n IH generalizing x", []], "state_before": "\ud835\udd5c : Type u_1\ninst\u271d\u2074 : NontriviallyNormedField \ud835\udd5c\nF : Type u_2\ninst\u271d\u00b3 : NormedAddCommGroup F\ninst\u271d\u00b2 : NormedSpace \ud835\udd5c F\... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/SetTheory/Game/PGame.lean | SetTheory.PGame.ofLists_moveLeft' | [
197,
1
] | [
200,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/Polynomial/Pochhammer.lean | ascPochhammer_succ_comp_X_add_one | [
132,
1
] | [
141,
7
] | [{"tactic": "suffices (ascPochhammer \u2115 (n + 1)).comp (X + 1) =\n ascPochhammer \u2115 (n + 1) + (n + 1) * (ascPochhammer \u2115 n).comp (X + 1)\n by simpa [map_comp] using congr_arg (Polynomial.map (Nat.castRingHom S)) this", "annotated_tactic": ["suffices (<a>ascPochhammer</a> \u2115 (n + 1)).<a>comp</a> (<a>... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Calculus/Deriv/Basic.lean | hasDerivAt_iff_hasFDerivAt | [
222,
1
] | [
224,
10
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Combinatorics/Additive/PluenneckeRuzsa.lean | Finset.card_div_mul_le_card_mul_mul_card_div | [
169,
1
] | [
172,
57
] | [{"tactic": "rw [div_eq_mul_inv, div_eq_mul_inv]", "annotated_tactic": ["rw [<a>div_eq_mul_inv</a>, <a>div_eq_mul_inv</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": "div_eq_mul_inv", "def_path": "Mathlib/Algebra/Group/... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Dynamics/Circle/RotationNumber/TranslationNumber.lean | CircleDeg1Lift.continuous_pow | [
948,
1
] | [
950,
21
] | [{"tactic": "rw [coe_pow]", "annotated_tactic": ["rw [<a>coe_pow</a>]", [{"full_name": "CircleDeg1Lift.coe_pow", "def_path": "Mathlib/Dynamics/Circle/RotationNumber/TranslationNumber.lean", "def_pos": [262, 9], "def_end_pos": [262, 16]}]], "state_before": "f g : CircleDeg1Lift\nhf : Continuous \u2191f\nn : \u2115\n\u22... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/MvPolynomial/Symmetric.lean | MvPolynomial.IsSymmetric.smul | [
133,
1
] | [
134,
42
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Algebra/Order/Floor.lean | tendsto_floor_right_pure | [
73,
1
] | [
74,
74
] | [{"tactic": "simpa only [floor_intCast] using tendsto_floor_right_pure_floor (n : \u03b1)", "annotated_tactic": ["simpa only [<a>floor_intCast</a>] using <a>tendsto_floor_right_pure_floor</a> (n : \u03b1)", [{"full_name": "Int.floor_intCast", "def_path": "Mathlib/Algebra/Order/Floor.lean", "def_pos": [717, 9], "def_end... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/DFinsupp/Interval.lean | DFinsupp.mem_rangeIcc_apply_iff | [
122,
1
] | [
122,
83
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Combinatorics/SimpleGraph/Basic.lean | SimpleGraph.bot_degree | [
1564,
1
] | [
1566,
26
] | [{"tactic": "erw [degree, neighborFinset_eq_filter, filter_False]", "annotated_tactic": ["erw [<a>degree</a>, <a>neighborFinset_eq_filter</a>, <a>filter_False</a>]", [{"full_name": "SimpleGraph.degree", "def_path": "Mathlib/Combinatorics/SimpleGraph/Basic.lean", "def_pos": [1440, 5], "def_end_pos": [1440, 11]}, {"full_... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Associated.lean | Associates.mk_dvdNotUnit_mk_iff | [
1063,
1
] | [
1082,
36
] | [{"tactic": "rw [DvdNotUnit, DvdNotUnit, mk_ne_zero]", "annotated_tactic": ["rw [<a>DvdNotUnit</a>, <a>DvdNotUnit</a>, <a>mk_ne_zero</a>]", [{"full_name": "DvdNotUnit", "def_path": "Mathlib/Algebra/GroupWithZero/Divisibility.lean", "def_pos": [66, 5], "def_end_pos": [66, 15]}, {"full_name": "DvdNotUnit", "def_path": "M... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Seminorm.lean | Seminorm.ball_smul | [
735,
1
] | [
739,
40
] | [{"tactic": "ext", "annotated_tactic": ["ext", []], "state_before": "R : Type u_1\nR' : Type u_2\n\ud835\udd5c : Type u_3\n\ud835\udd5c\u2082 : Type u_4\n\ud835\udd5c\u2083 : Type u_5\n\ud835\udd5d : Type u_6\nE : Type u_7\nE\u2082 : Type u_8\nE\u2083 : Type u_9\nF : Type u_10\nG : Type u_11\n\u03b9 : Type u_12\ninst\u... |
https://github.com/leanprover/std4 | 869c615eb10130c0637a7bc038e2b80253559913 | lake-packages/std/Std/Data/RBMap/Alter.lean | Std.RBNode.Ordered.alter | [
343,
11
] | [
358,
94
] | [{"tactic": "simp [alter]", "annotated_tactic": ["simp [<a>alter</a>]", [{"full_name": "Std.RBNode.alter", "def_path": "lake-packages/std/Std/Data/RBMap/Basic.lean", "def_pos": [530, 19], "def_end_pos": [530, 24]}]], "state_before": "\u03b1 : Type u_1\ncut : \u03b1 \u2192 Ordering\nf : Option \u03b1 \u2192 Option \u03b... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/AffineSpace/Independent.lean | affineIndependent_set_iff_linearIndependent_vsub | [
141,
1
] | [
160,
76
] | [{"tactic": "rw [affineIndependent_iff_linearIndependent_vsub k (fun p => p : s \u2192 P) \u27e8p\u2081, hp\u2081\u27e9]", "annotated_tactic": ["rw [<a>affineIndependent_iff_linearIndependent_vsub</a> k (fun p => p : s \u2192 P) \u27e8p\u2081, hp\u2081\u27e9]", [{"full_name": "affineIndependent_iff_linearIndependent_vs... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Nat/Pow.lean | StrictMono.nat_pow | [
128,
1
] | [
130,
39
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/UniqueFactorizationDomain.lean | UniqueFactorizationMonoid.normalizedFactors_of_irreducible_pow | [
731,
1
] | [
733,
89
] | [{"tactic": "rw [normalizedFactors_pow, normalizedFactors_irreducible hp, Multiset.nsmul_singleton]", "annotated_tactic": ["rw [<a>normalizedFactors_pow</a>, <a>normalizedFactors_irreducible</a> hp, <a>Multiset.nsmul_singleton</a>]", [{"full_name": "UniqueFactorizationMonoid.normalizedFactors_pow", "def_path": "Mathlib... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Seminorm.lean | Seminorm.closedBall_eq_emptyset | [
955,
1
] | [
959,
37
] | [{"tactic": "ext", "annotated_tactic": ["ext", []], "state_before": "R : Type u_1\nR' : Type u_2\n\ud835\udd5c : Type u_3\n\ud835\udd5c\u2082 : Type u_4\n\ud835\udd5c\u2083 : Type u_5\n\ud835\udd5d : Type u_6\nE : Type u_7\nE\u2082 : Type u_8\nE\u2083 : Type u_9\nF : Type u_10\nG : Type u_11\n\u03b9 : Type u_12\ninst\u... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Instances/Irrational.lean | isGδ_irrational | [
38,
1
] | [
39,
33
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Nat/Periodic.lean | Nat.periodic_gcd | [
24,
1
] | [
25,
75
] | [{"tactic": "simp only [forall_const, gcd_add_self_right, eq_self_iff_true, Periodic]", "annotated_tactic": ["simp only [<a>forall_const</a>, <a>gcd_add_self_right</a>, <a>eq_self_iff_true</a>, <a>Periodic</a>]", [{"full_name": "forall_const", "def_path": "lake-packages/std/Std/Logic.lean", "def_pos": [435, 17], "def_e... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Compactness/Compact.lean | IsCompact.diff | [
96,
1
] | [
97,
45
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Logic/Equiv/LocalEquiv.lean | LocalEquiv.prod_trans | [
973,
1
] | [
976,
39
] | [{"tactic": "ext \u27e8x, y\u27e9 <;> simp [ext_iff]", "annotated_tactic": ["ext \u27e8x, y\u27e9 <;> simp [<a>ext_iff</a>]", [{"full_name": "Set.ext_iff", "def_path": "Mathlib/Data/Set/Basic.lean", "def_pos": [241, 9], "def_end_pos": [241, 16]}]], "state_before": "\u03b1 : Type u_1\n\u03b2 : Type u_2\n\u03b3 : Type u_... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/NumberTheory/LegendreSymbol/QuadraticChar/Basic.lean | quadraticCharFun_eq_pow_of_char_ne_two | [
93,
1
] | [
96,
43
] | [{"tactic": "simp only [quadraticCharFun, ha, if_false]", "annotated_tactic": ["simp only [<a>quadraticCharFun</a>, ha, <a>if_false</a>]", [{"full_name": "quadraticCharFun", "def_path": "Mathlib/NumberTheory/LegendreSymbol/QuadraticChar/Basic.lean", "def_pos": [43, 5], "def_end_pos": [43, 21]}, {"full_name": "if_false"... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Monotone/Basic.lean | StrictAnti.injective | [
884,
1
] | [
885,
61
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Monoidal/Internal/Module.lean | ModuleCat.MonModuleEquivalenceAlgebra.algebraMap | [
91,
1
] | [
92,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Quaternion.lean | Quaternion.continuous_re | [
205,
1
] | [
206,
64
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/List/Basic.lean | List.getLast?_append_cons | [
793,
1
] | [
798,
51
] | [{"tactic": "rw [cons_append, cons_append, getLast?_cons_cons,\n\u2190 cons_append, getLast?_append_cons (c :: l\u2081)]", "annotated_tactic": ["rw [<a>cons_append</a>, <a>cons_append</a>, <a>getLast?_cons_cons</a>,\n \u2190 <a>cons_append</a>, getLast?_append_cons (c :: l\u2081)]", [{"full_name": "List.cons_append"... |
https://github.com/leanprover/std4 | 869c615eb10130c0637a7bc038e2b80253559913 | lake-packages/std/Std/Data/BinomialHeap/Lemmas.lean | Std.BinomialHeap.Imp.HeapNode.WF.realSize_eq | [
21,
9
] | [
26,
40
] | [{"tactic": "rw [realSize, realSize_eq c, Nat.pow_succ, Nat.mul_succ]", "annotated_tactic": ["rw [<a>realSize</a>, realSize_eq c, <a>Nat.pow_succ</a>, <a>Nat.mul_succ</a>]", [{"full_name": "Std.BinomialHeap.Imp.HeapNode.realSize", "def_path": "lake-packages/std/Std/Data/BinomialHeap/Basic.lean", "def_pos": [39, 13], "d... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Polynomial/Monic.lean | Polynomial.monic_zero_iff_subsingleton' | [
43,
1
] | [
48,
47
] | [{"tactic": "intro", "annotated_tactic": ["intro", []], "state_before": "R : Type u\nS : Type v\na b : R\nm n : \u2115\n\u03b9 : Type y\ninst\u271d : Semiring R\np q r : R[X]\n\u22a2 Subsingleton R \u2192 (\u2200 (f g : R[X]), f = g) \u2227 \u2200 (a b : R), a = b", "state_after": "R : Type u\nS : Type v\na b : R\nm n ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Measure/AEDisjoint.lean | MeasureTheory.AEDisjoint.iUnion_left_iff | [
93,
1
] | [
95,
64
] | [{"tactic": "simp only [AEDisjoint, iUnion_inter, measure_iUnion_null_iff]", "annotated_tactic": ["simp only [<a>AEDisjoint</a>, <a>iUnion_inter</a>, <a>measure_iUnion_null_iff</a>]", [{"full_name": "MeasureTheory.AEDisjoint", "def_path": "Mathlib/MeasureTheory/Measure/AEDisjoint.lean", "def_pos": [26, 5], "def_end_pos... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Int/GCD.lean | Int.gcd_mul_lcm | [
260,
1
] | [
261,
53
] | [{"tactic": "rw [Int.gcd, Int.lcm, Nat.gcd_mul_lcm, natAbs_mul]", "annotated_tactic": ["rw [<a>Int.gcd</a>, <a>Int.lcm</a>, <a>Nat.gcd_mul_lcm</a>, <a>natAbs_mul</a>]", [{"full_name": "Int.gcd", "def_path": "lake-packages/std/Std/Data/Int/Basic.lean", "def_pos": [120, 5], "def_end_pos": [120, 8]}, {"full_name": "Int.lc... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/List/Lattice.lean | List.bagInter_nil_iff_inter_nil | [
264,
1
] | [
268,
43
] | [{"tactic": "simp", "annotated_tactic": ["simp", []], "state_before": "\u03b1 : Type u_1\nl l\u2081 l\u2082\u271d : List \u03b1\np : \u03b1 \u2192 Prop\na : \u03b1\ninst\u271d : DecidableEq \u03b1\nl\u2082 : List \u03b1\n\u22a2 List.bagInter [] l\u2082 = [] \u2194 [] \u2229 l\u2082 = []", "state_after": "no goals"}, {"... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Normed/Group/AddTorsor.lean | nndist_vsub_vsub_le | [
186,
1
] | [
189,
86
] | [{"tactic": "simp only [\u2190 NNReal.coe_le_coe, NNReal.coe_add, \u2190 dist_nndist, (dist_vsub_vsub_le)]", "annotated_tactic": ["simp only [\u2190 <a>NNReal.coe_le_coe</a>, <a>NNReal.coe_add</a>, \u2190 <a>dist_nndist</a>, (<a>dist_vsub_vsub_le</a>)]", [{"full_name": "NNReal.coe_le_coe", "def_path": "Mathlib/Data/Rea... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/GroupTheory/Perm/Cycle/Type.lean | Equiv.Perm.two_le_of_mem_cycleType | [
93,
1
] | [
97,
31
] | [{"tactic": "simp only [cycleType_def, \u2190 Finset.mem_def, Function.comp_apply, Multiset.mem_map,\n mem_cycleFactorsFinset_iff] at h", "annotated_tactic": ["simp only [<a>cycleType_def</a>, \u2190 <a>Finset.mem_def</a>, <a>Function.comp_apply</a>, <a>Multiset.mem_map</a>,\n <a>mem_cycleFactorsFinset_iff</a>] at ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/BoundedOrder.lean | Subtype.coe_top | [
779,
1
] | [
780,
43
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/Coprime/Basic.lean | isCoprime_comm | [
50,
1
] | [
51,
35
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RepresentationTheory/Action.lean | Action.neg_hom | [
403,
1
] | [
404,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Order/AbsoluteValue.lean | AbsoluteValue.map_one_of_isLeftRegular | [
132,
1
] | [
133,
31
] | [{"tactic": "simp [\u2190 abv.map_mul]", "annotated_tactic": ["simp [\u2190 abv.map_mul]", []], "state_before": "R : Type u_1\nS : Type u_2\ninst\u271d\u00b9 : Semiring R\ninst\u271d : OrderedSemiring S\nabv : AbsoluteValue R S\nh : IsLeftRegular (\u2191abv 1)\n\u22a2 (fun x => \u2191abv 1 * x) (\u2191abv 1) = (fun x =... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/NormedSpace/AffineIsometry.lean | AffineIsometryEquiv.coe_symm_trans | [
580,
1
] | [
582,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Hom/Units.lean | IsUnit.mul_inv_eq_one | [
346,
11
] | [
347,
38
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Combinatorics/SimpleGraph/Subgraph.lean | SimpleGraph.Subgraph.neighborSet_bot | [
501,
1
] | [
501,
76
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/MorphismProperty.lean | CategoryTheory.MorphismProperty.IsInvertedBy.of_comp | [
358,
1
] | [
363,
17
] | [{"tactic": "haveI := hF f hf", "annotated_tactic": ["haveI := hF f hf", []], "state_before": "C : Type u\ninst\u271d\u2074 : Category.{v, u} C\nD : Type u_1\ninst\u271d\u00b3 : Category.{?u.58357, u_1} D\nC\u2081 : Type u_2\nC\u2082 : Type u_3\nC\u2083 : Type u_4\ninst\u271d\u00b2 : Category.{u_5, u_2} C\u2081\ninst\u... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/AlgebraicGeometry/ProjectiveSpectrum/Topology.lean | ProjectiveSpectrum.basicOpen_one | [
409,
1
] | [
410,
40
] | [{"tactic": "simp", "annotated_tactic": ["simp", []], "state_before": "R : Type u_1\nA : Type u_2\ninst\u271d\u00b3 : CommSemiring R\ninst\u271d\u00b2 : CommRing A\ninst\u271d\u00b9 : Algebra R A\n\ud835\udc9c : \u2115 \u2192 Submodule R A\ninst\u271d : GradedAlgebra \ud835\udc9c\n\u22a2 \u2191(basicOpen \ud835\udc9c 1... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Order/ToIntervalMod.lean | toIcoMod_zsmul_add' | [
431,
1
] | [
433,
47
] | [{"tactic": "rw [add_comm, toIcoMod_add_zsmul', add_comm]", "annotated_tactic": ["rw [<a>add_comm</a>, <a>toIcoMod_add_zsmul'</a>, <a>add_comm</a>]", [{"full_name": "add_comm", "def_path": "Mathlib/Algebra/Group/Defs.lean", "def_pos": [301, 3], "def_end_pos": [301, 14]}, {"full_name": "toIcoMod_add_zsmul'", "def_path":... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Probability/Kernel/Disintegration.lean | ProbabilityTheory.lintegral_condKernelReal | [
225,
1
] | [
229,
36
] | [{"tactic": "nth_rw 3 [measure_eq_compProd_real \u03c1]", "annotated_tactic": ["nth_rw 3 [<a>measure_eq_compProd_real</a> \u03c1]", [{"full_name": "ProbabilityTheory.measure_eq_compProd_real", "def_path": "Mathlib/Probability/Kernel/Disintegration.lean", "def_pos": [220, 9], "def_end_pos": [220, 33]}]], "state_before":... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/ContinuousFunction/Compact.lean | ContinuousMap.linearIsometryBoundedOfCompact_of_compact_toEquiv | [
328,
1
] | [
330,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Constructions.lean | nhds_swap | [
578,
1
] | [
579,
57
] | [{"tactic": "rw [nhds_prod_eq, Filter.prod_comm, nhds_prod_eq]", "annotated_tactic": ["rw [<a>nhds_prod_eq</a>, <a>Filter.prod_comm</a>, <a>nhds_prod_eq</a>]", [{"full_name": "nhds_prod_eq", "def_path": "Mathlib/Topology/Constructions.lean", "def_pos": [513, 9], "def_end_pos": [513, 21]}, {"full_name": "Filter.prod_com... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Complex/UpperHalfPlane/Metric.lean | UpperHalfPlane.dist_coe_center | [
178,
1
] | [
180,
49
] | [{"tactic": "rw [\u2190 sqrt_sq dist_nonneg, dist_coe_center_sq]", "annotated_tactic": ["rw [\u2190 <a>sqrt_sq</a> <a>dist_nonneg</a>, <a>dist_coe_center_sq</a>]", [{"full_name": "Real.sqrt_sq", "def_path": "Mathlib/Data/Real/Sqrt.lean", "def_pos": [238, 9], "def_end_pos": [238, 16]}, {"full_name": "dist_nonneg", "def_... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/Matrix/Charpoly/Minpoly.lean | LinearMap.minpoly_toMatrix | [
68,
1
] | [
70,
68
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/Localization/Basic.lean | Localization.mk_int_cast | [
1156,
1
] | [
1157,
43
] | [{"tactic": "simpa using @mk_algebraMap R _ M \u2124 _ _ m", "annotated_tactic": ["simpa using @<a>mk_algebraMap</a> R _ M \u2124 _ _ m", [{"full_name": "Localization.mk_algebraMap", "def_path": "Mathlib/RingTheory/Localization/Basic.lean", "def_pos": [1041, 9], "def_end_pos": [1041, 22]}]], "state_before": "R : Type u... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Matrix/Basis.lean | Matrix.StdBasisMatrix.mul_right_apply_of_ne | [
189,
1
] | [
190,
72
] | [{"tactic": "simp [mul_apply, hbj.symm]", "annotated_tactic": ["simp [<a>mul_apply</a>, hbj.symm]", [{"full_name": "Matrix.mul_apply", "def_path": "Mathlib/Data/Matrix/Basic.lean", "def_pos": [921, 9], "def_end_pos": [921, 18]}]], "state_before": "l : Type u_1\nm : Type u_2\nn : Type u_3\nR : Type u_4\n\u03b1 : Type u_... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Complex/Exponential.lean | Real.cosh_zero | [
1366,
1
] | [
1366,
49
] | [{"tactic": "simp [cosh]", "annotated_tactic": ["simp [<a>cosh</a>]", [{"full_name": "Real.cosh", "def_path": "Mathlib/Data/Complex/Exponential.lean", "def_pos": [464, 12], "def_end_pos": [464, 16]}]], "state_before": "x y : \u211d\n\u22a2 cosh 0 = 1", "state_after": "no goals"}] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/LinearPMap.lean | LinearPMap.snd_apply | [
206,
1
] | [
208,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Instances/AddCircle.lean | AddCircle.coe_zsmul | [
138,
1
] | [
139,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Module/LinearMap.lean | LinearMap.coe_pow | [
1140,
1
] | [
1140,
100
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Nat/Sqrt.lean | Nat.sqrt_le | [
64,
1
] | [
65,
23
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/ModelTheory/Definability.lean | Set.Definable.sdiff | [
161,
1
] | [
163,
20
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Calculus/MeanValue.lean | exists_ratio_deriv_eq_ratio_slope | [
777,
1
] | [
782,
78
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Convex/Strict.lean | Set.OrdConnected.strictConvex | [
160,
11
] | [
166,
90
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/ContinuousFunction/Basic.lean | ContinuousMap.map_specializes | [
169,
1
] | [
170,
12
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Ideal.lean | Order.Ideal.coe_toLowerSet | [
121,
1
] | [
122,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Geometry/Manifold/LocalInvariantProperties.lean | StructureGroupoid.LocalInvariantProp.liftPropOn_of_mem_maximalAtlas | [
483,
1
] | [
487,
41
] | [{"tactic": "intro x hx", "annotated_tactic": ["intro x hx", []], "state_before": "H : Type u_1\nM : Type u_2\nH' : Type u_3\nM' : Type u_4\nX : Type u_5\ninst\u271d\u2077 : TopologicalSpace H\ninst\u271d\u2076 : TopologicalSpace M\ninst\u271d\u2075 : ChartedSpace H M\ninst\u271d\u2074 : TopologicalSpace H'\ninst\u271d... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Pointwise/Basic.lean | Set.preimage_mul_right_singleton | [
1227,
1
] | [
1228,
43
] | [{"tactic": "rw [\u2190 image_mul_right', image_singleton]", "annotated_tactic": ["rw [\u2190 <a>image_mul_right'</a>, <a>image_singleton</a>]", [{"full_name": "Set.image_mul_right'", "def_path": "Mathlib/Data/Set/Pointwise/Basic.lean", "def_pos": [1216, 9], "def_end_pos": [1216, 25]}, {"full_name": "Set.image_singleto... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/SpecialFunctions/Gamma/Basic.lean | Complex.GammaIntegral_convergent | [
96,
1
] | [
112,
9
] | [{"tactic": "constructor", "annotated_tactic": ["constructor", []], "state_before": "s : \u2102\nhs : 0 < s.re\n\u22a2 IntegrableOn (fun x => \u2191(rexp (-x)) * \u2191x ^ (s - 1)) (Ioi 0)", "state_after": "case left\ns : \u2102\nhs : 0 < s.re\n\u22a2 AEStronglyMeasurable (fun x => \u2191(rexp (-x)) * \u2191x ^ (s - 1)... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/InnerProductSpace/Orthogonal.lean | Submodule.IsOrtho.ge | [
320,
1
] | [
321,
9
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/LocalHomeomorph.lean | LocalHomeomorph.symm_mapsTo | [
171,
11
] | [
172,
16
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/GroupTheory/Subgroup/MulOpposite.lean | Subgroup.smul_opposite_mul | [
78,
1
] | [
80,
18
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Constructions.lean | Continuous.comp₂ | [
417,
1
] | [
419,
27
] | [] |
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