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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Limits/Shapes/Pullbacks.lean | CategoryTheory.Limits.pullbackRightPullbackFstIso_hom_fst | [
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Measure/MeasureSpace.lean | MeasureTheory.Measure.restrict_toMeasurable_of_cover | [
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/AlgebraicGeometry/Scheme.lean | AlgebraicGeometry.Scheme.basicOpen_mul | [
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/AffineSpace/Combination.lean | Finset.affineCombination_linear | [
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/ConditionallyCompleteLattice/Basic.lean | csInf_mem | [
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Geometry/Manifold/MFDeriv.lean | MDifferentiable.prod_mk_space | [
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807,
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/Int/Basic.lean | Int.abs_eq_normalize | [
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Finset/NAry.lean | Set.toFinset_image2 | [
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https://github.com/leanprover/std4 | 869c615eb10130c0637a7bc038e2b80253559913 | lake-packages/std/Std/Logic.lean | Or.neg_resolve_right | [
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/List/Basic.lean | List.foldl_assoc_comm_cons | [
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Groupoid/Subgroupoid.lean | CategoryTheory.Subgroupoid.IsNormal.conj' | [
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Monoidal/Rigid/Basic.lean | CategoryTheory.leftDual_rightDual | [
159,
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160,
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Finset/LocallyFinite.lean | Finset.eq_of_mem_uIcc_of_mem_uIcc' | [
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Module/Submodule/Bilinear.lean | Submodule.map₂_le | [
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Order/Floor.lean | Int.le_floor | [
673,
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674,
26
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Seq/Computation.lean | Computation.results_thinkN_pure | [
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Setoid/Partition.lean | Setoid.classes_ker_subset_fiber_set | [
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Polynomial/Reverse.lean | Polynomial.reverse_mul_of_domain | [
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Probability/Independence/Basic.lean | ProbabilityTheory.IndepSets.iUnion | [
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Finsupp/Lex.lean | Finsupp.lt_of_forall_lt_of_lt | [
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Measure/Portmanteau.lean | MeasureTheory.limsup_measure_closed_le_iff_liminf_measure_open_ge | [
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Finset/Basic.lean | Finset.piecewise_mem_Icc' | [
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Functor/EpiMono.lean | CategoryTheory.Functor.preservesEpimorphsisms_of_adjunction | [
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/BigOperators/Finprod.lean | finprod_eq_mulIndicator_apply | [
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Limits/Shapes/Pullbacks.lean | CategoryTheory.Limits.spanCompIso_inv_app_right | [
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369,
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Compactification/OnePoint.lean | OnePoint.insert_infty_range_coe | [
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/GroupTheory/MonoidLocalization.lean | Submonoid.LocalizationMap.symm_comp_ofMulEquivOfLocalizations_apply | [
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Nat/GCD/Basic.lean | Nat.coprime_one_left_iff | [
256,
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/ModelTheory/Satisfiability.lean | Cardinal.Categorical.isComplete | [
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Convex/Star.lean | starConvex_iInter | [
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/GCDMonoid/Multiset.lean | Multiset.normalize_lcm | [
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/ConditionallyCompleteLattice/Basic.lean | csInf_le_csSup | [
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Multiset/Dedup.lean | Multiset.dedup_map_dedup_eq | [
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/Valuation/Integral.lean | Valuation.Integers.integrallyClosed | [
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/BilinearForm.lean | BilinForm.isOrtho_smul_right | [
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/GroupTheory/Submonoid/Membership.lean | Submonoid.induction_of_closure_eq_top_right | [
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Dynamics/PeriodicPts.lean | Function.periodicOrbit_apply_eq | [
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Order/Basic.lean | le_on_closure | [
262,
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67
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/SpecialFunctions/Log/Monotone.lean | Real.log_div_sqrt_antitoneOn | [
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Computability/Language.lean | Language.zero_def | [
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/BigOperators/Basic.lean | RingHom.unop_map_list_prod | [
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245,
25
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/AlgebraicGeometry/ProjectiveSpectrum/Topology.lean | ProjectiveSpectrum.zeroLocus_bot | [
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197,
21
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/ModelTheory/Semantics.lean | FirstOrder.Language.Equiv.realize_formula | [
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/Filter/Basic.lean | Set.EqOn.eventuallyEq_of_mem | [
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Real/Irrational.lean | Irrational.inv | [
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Normed/Group/SemiNormedGroupCat.lean | SemiNormedGroupCat₁.hom_ext | [
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/MvPolynomial/Basic.lean | MvPolynomial.map_aeval | [
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/BigOperators/Finprod.lean | finprod_mem_eq_one_of_forall_eq_one | [
546,
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https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/List/Basic.lean | List.get?_succ_scanl | [
2559,
1
] | [
2568,
27
] | [{"tactic": "induction' l with hd tl hl generalizing b i", "annotated_tactic": ["induction' l with hd tl hl generalizing b i", []], "state_before": "\u03b9 : Type u_1\n\u03b1 : Type u\n\u03b2 : Type v\n\u03b3 : Type w\nl\u2081 l\u2082 : List \u03b1\nf : \u03b2 \u2192 \u03b1 \u2192 \u03b2\nb : \u03b2\na : \u03b1\nl : Li... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Homology/ImageToKernel.lean | imageToKernel_zero_right | [
100,
1
] | [
104,
7
] | [{"tactic": "ext", "annotated_tactic": ["ext", []], "state_before": "\u03b9 : Type u_1\nV : Type u\ninst\u271d\u00b2 : Category.{v, u} V\ninst\u271d\u00b9 : HasZeroMorphisms V\nA B C : V\nf : A \u27f6 B\ng : B \u27f6 C\ninst\u271d : HasImages V\nw : f \u226b 0 = 0\n\u22a2 imageToKernel f 0 w = Subobject.arrow (imageSub... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/Localization/Basic.lean | IsLocalization.mk'_spec_mk | [
268,
1
] | [
270,
23
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/ExtremallyDisconnected.lean | CompactT2.Projective.extremallyDisconnected | [
96,
11
] | [
131,
15
] | [{"tactic": "refine' { open_closure := fun U hU => _ }", "annotated_tactic": ["refine' { open_closure := fun U hU => _ }", []], "state_before": "X : Type u\ninst\u271d\u00b2 : TopologicalSpace X\ninst\u271d\u00b9 : CompactSpace X\ninst\u271d : T2Space X\nh : Projective X\n\u22a2 ExtremallyDisconnected X", "state_after"... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Integral/IntegralEqImproper.lean | MeasureTheory.aecover_Ioo_of_Ico | [
204,
1
] | [
205,
94
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Abelian/Pseudoelements.lean | CategoryTheory.Abelian.Pseudoelement.epi_of_pseudo_surjective | [
342,
1
] | [
353,
25
] | [{"tactic": "intro h", "annotated_tactic": ["intro h", []], "state_before": "C : Type u\ninst\u271d\u00b9 : Category.{v, u} C\ninst\u271d : Abelian C\nP Q : C\nf : P \u27f6 Q\n\u22a2 Function.Surjective (pseudoApply f) \u2192 Epi f", "state_after": "C : Type u\ninst\u271d\u00b9 : Category.{v, u} C\ninst\u271d : Abelian... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/NormedSpace/CompactOperator.lean | IsCompactOperator.isCompact_closure_image_ball | [
151,
1
] | [
154,
87
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/DedekindDomain/Ideal.lean | FractionalIdeal.coe_ideal_span_singleton_mul_inv | [
176,
1
] | [
181,
82
] | [{"tactic": "rw [coeIdeal_span_singleton,\n spanSingleton_mul_inv K <|\n (map_ne_zero_iff _ <| NoZeroSMulDivisors.algebraMap_injective R\u2081 K).mpr hx]", "annotated_tactic": ["rw [<a>coeIdeal_span_singleton</a>,\n <a>spanSingleton_mul_inv</a> K <|\n (<a>map_ne_zero_iff</a> _ <| <a>NoZeroSMulDivisors.algeb... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/AffineSpace/Independent.lean | linearIndependent_set_iff_affineIndependent_vadd_union_singleton | [
166,
1
] | [
175,
9
] | [{"tactic": "rw [affineIndependent_set_iff_linearIndependent_vsub k\n (Set.mem_union_left _ (Set.mem_singleton p\u2081))]", "annotated_tactic": ["rw [<a>affineIndependent_set_iff_linearIndependent_vsub</a> k\n (<a>Set.mem_union_left</a> _ (<a>Set.mem_singleton</a> p\u2081))]", [{"full_name": "affineIndependent_... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Function/AEEqFun.lean | MeasureTheory.AEEqFun.coeFn_le | [
513,
1
] | [
514,
25
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Compactness/Compact.lean | isCompact_iff_isCompact_univ | [
882,
1
] | [
883,
60
] | [{"tactic": "rw [Subtype.isCompact_iff, image_univ, Subtype.range_coe]", "annotated_tactic": ["rw [<a>Subtype.isCompact_iff</a>, <a>image_univ</a>, <a>Subtype.range_coe</a>]", [{"full_name": "Subtype.isCompact_iff", "def_path": "Mathlib/Topology/Compactness/Compact.lean", "def_pos": [877, 9], "def_end_pos": [877, 30]},... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Set/Lattice.lean | Set.diff_iInter | [
686,
1
] | [
687,
48
] | [{"tactic": "rw [diff_eq, compl_iInter, inter_iUnion]", "annotated_tactic": ["rw [<a>diff_eq</a>, <a>compl_iInter</a>, <a>inter_iUnion</a>]", [{"full_name": "Set.diff_eq", "def_path": "Mathlib/Data/Set/Basic.lean", "def_pos": [1814, 9], "def_end_pos": [1814, 16]}, {"full_name": "Set.compl_iInter", "def_path": "Mathlib/... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Finsupp/Basic.lean | Finsupp.support_subtypeDomain | [
1025,
1
] | [
1026,
93
] | [{"tactic": "rw [Subsingleton.elim D] <;> rfl", "annotated_tactic": ["rw [<a>Subsingleton.elim</a> D] <;> rfl", [{"full_name": "Subsingleton.elim", "def_path": "lake-packages/lean4/src/lean/Init/Core.lean", "def_pos": [873, 19], "def_end_pos": [873, 36]}]], "state_before": "\u03b1 : Type u_1\n\u03b2 : Type u_2\n\u03b3 ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/Algebraic.lean | isAlgebraic_algHom_of_isAlgebraic | [
146,
1
] | [
149,
60
] | [{"tactic": "rw [aeval_algHom, f.comp_apply, ha, map_zero]", "annotated_tactic": ["rw [<a>aeval_algHom</a>, f.comp_apply, ha, <a>map_zero</a>]", [{"full_name": "Polynomial.aeval_algHom", "def_path": "Mathlib/Data/Polynomial/AlgebraMap.lean", "def_pos": [260, 9], "def_end_pos": [260, 21]}, {"full_name": "map_zero", "def... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/LinearAlgebra/Matrix/IsDiag.lean | Matrix.IsDiag.fromBlocks_of_isSymm | [
184,
1
] | [
188,
25
] | [{"tactic": "rw [\u2190 (isSymm_fromBlocks_iff.1 h).2.1]", "annotated_tactic": ["rw [\u2190 (<a>isSymm_fromBlocks_iff</a>.1 h).2.1]", [{"full_name": "Matrix.isSymm_fromBlocks_iff", "def_path": "Mathlib/LinearAlgebra/Matrix/Symmetric.lean", "def_pos": [143, 9], "def_end_pos": [143, 30]}]], "state_before": "\u03b1 : Type... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/Localization/Basic.lean | IsLocalization.algebraMap_eq_map_map_submonoid | [
1355,
1
] | [
1361,
93
] | [{"tactic": "rw [\u2190 IsScalarTower.algebraMap_apply R S S\u2098, \u2190 IsScalarTower.algebraMap_apply R R\u2098 S\u2098]", "annotated_tactic": ["rw [\u2190 <a>IsScalarTower.algebraMap_apply</a> R S S\u2098, \u2190 <a>IsScalarTower.algebraMap_apply</a> R R\u2098 S\u2098]", [{"full_name": "IsScalarTower.algebraMap_ap... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/BigOperators/Finprod.lean | finsum_smul | [
334,
1
] | [
338,
89
] | [{"tactic": "rcases eq_or_ne x 0 with (rfl | hx)", "annotated_tactic": ["rcases <a>eq_or_ne</a> x 0 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": "G : Type u_1\nM\u271d : Type u_2\nN : Type u_3\n\u03b1 : Sort u_4\n\... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/TypeVec.lean | TypeVec.appendFun_comp | [
252,
1
] | [
257,
29
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/Order/Basic.lean | Iio_mem_nhds | [
359,
1
] | [
360,
31
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/CategoryTheory/Limits/Shapes/StrictInitial.lean | CategoryTheory.Limits.limit_π_isIso_of_is_strict_terminal | [
206,
1
] | [
237,
11
] | [{"tactic": "refine' \u27e8\u27e8limit.lift _ \u27e8_, \u27e8_, _\u27e9\u27e9, _, _\u27e9\u27e9", "annotated_tactic": ["refine' \u27e8\u27e8<a>limit.lift</a> _ \u27e8_, \u27e8_, _\u27e9\u27e9, _, _\u27e9\u27e9", [{"full_name": "CategoryTheory.Limits.limit.lift", "def_path": "Mathlib/CategoryTheory/Limits/HasLimits.lean... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/Trace.lean | det_traceMatrix_ne_zero' | [
565,
1
] | [
580,
33
] | [{"tactic": "suffices algebraMap K (AlgebraicClosure L) (det (traceMatrix K pb.basis)) \u2260 0 by\n refine' mt (fun ht => _) this\n rw [ht, RingHom.map_zero]", "annotated_tactic": ["suffices <a>algebraMap</a> K (<a>AlgebraicClosure</a> L) (<a>det</a> (<a>traceMatrix</a> K pb.basis)) \u2260 0 by\n refine' <a>mt</a... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Deprecated/Subgroup.lean | IsGroupHom.preimage_normal | [
431,
1
] | [
436,
95
] | [{"tactic": "simp [hf.map_one, hs.toIsSubgroup.one_mem]", "annotated_tactic": ["simp [hf.map_one, hs.toIsSubgroup.one_mem]", []], "state_before": "G : Type u_1\nH : Type u_2\nA : Type u_3\na a\u2081 a\u2082 b c : G\ninst\u271d\u00b9 : Group G\ninst\u271d : Group H\nf : G \u2192 H\nhf : IsGroupHom f\ns : Set H\nhs : IsN... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Vector/MapLemmas.lean | Vector.mapAccumr_mapAccumr | [
27,
1
] | [
35,
75
] | [{"tactic": "induction xs using Vector.revInductionOn generalizing s\u2081 s\u2082 <;> simp_all", "annotated_tactic": ["induction xs using <a>Vector.revInductionOn</a> generalizing s\u2081 s\u2082 <;> simp_all", [{"full_name": "Vector.revInductionOn", "def_path": "Mathlib/Data/Vector/Snoc.lean", "def_pos": [82, 5], "de... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Combinatorics/SimpleGraph/Subgraph.lean | SimpleGraph.Subgraph.map_monotone | [
648,
1
] | [
656,
35
] | [{"tactic": "intro H H' h", "annotated_tactic": ["intro H H' h", []], "state_before": "\u03b9 : Sort u_1\nV : Type u\nW : Type v\nG : SimpleGraph V\nG\u2081 G\u2082 : Subgraph G\na b : V\nG' : SimpleGraph W\nf : G \u2192g G'\n\u22a2 Monotone (Subgraph.map f)", "state_after": "\u03b9 : Sort u_1\nV : Type u\nW : Type v\n... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Convex/Strict.lean | StrictConvex.affine_preimage | [
364,
1
] | [
369,
42
] | [{"tactic": "intro x hx y hy hxy a b ha hb hab", "annotated_tactic": ["intro x hx y hy hxy a b ha hb hab", []], "state_before": "\ud835\udd5c : Type u_1\n\ud835\udd5d : Type u_2\nE : Type u_3\nF : Type u_4\n\u03b2 : Type u_5\ninst\u271d\u2076 : OrderedRing \ud835\udd5c\ninst\u271d\u2075 : TopologicalSpace E\ninst\u271d... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Polynomial/Degree/Definitions.lean | Polynomial.natDegree_lt_iff_degree_lt | [
224,
1
] | [
225,
62
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/FieldTheory/Adjoin.lean | IntermediateField.AlgEquiv.fieldRange_eq_top | [
288,
1
] | [
290,
44
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Num/Lemmas.lean | ZNum.cast_zneg | [
1048,
1
] | [
1051,
31
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Constructions/BorelSpace/Basic.lean | aemeasurable_biSup | [
1427,
1
] | [
1441,
16
] | [{"tactic": "let g : \u03b9 \u2192 \u03b4 \u2192 \u03b1 := fun i \u21a6 if hi : i \u2208 s then (hf i hi).mk (f i) else fun _b \u21a6 sSup \u2205", "annotated_tactic": ["let g : \u03b9 \u2192 \u03b4 \u2192 \u03b1 := fun i \u21a6 if hi : i \u2208 s then (hf i hi).<a>mk</a> (f i) else fun _b \u21a6 <a>sSup</a> \u2205", [... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/WittVector/Defs.lean | WittVector.wittNSMul_vars | [
412,
1
] | [
414,
30
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Order/InitialSeg.lean | PrincipalSeg.acc | [
455,
11
] | [
456,
21
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Real/ConjugateExponents.lean | Real.IsConjugateExponent.one_div_pos | [
62,
1
] | [
62,
62
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Topology/EMetricSpace/Basic.lean | edist_le_Ico_sum_of_edist_le | [
150,
1
] | [
154,
86
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Order/Module.lean | lowerBounds_smul_of_neg | [
239,
1
] | [
240,
49
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/SetTheory/Ordinal/Principal.lean | Ordinal.opow_omega | [
425,
1
] | [
429,
25
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/MeasureTheory/Function/LocallyIntegrable.lean | MeasureTheory.IntegrableOn.continuousOn_smul | [
555,
1
] | [
562,
63
] | [{"tactic": "rw [IntegrableOn, \u2190 integrable_norm_iff]", "annotated_tactic": ["rw [<a>IntegrableOn</a>, \u2190 <a>integrable_norm_iff</a>]", [{"full_name": "MeasureTheory.IntegrableOn", "def_path": "Mathlib/MeasureTheory/Integral/IntegrableOn.lean", "def_pos": [90, 5], "def_end_pos": [90, 17]}, {"full_name": "Measu... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/SpecialFunctions/Gaussian.lean | integral_gaussian | [
210,
1
] | [
222,
54
] | [{"tactic": "rcases le_or_lt b 0 with (hb | hb)", "annotated_tactic": ["rcases <a>le_or_lt</a> b 0 with (hb | hb)", [{"full_name": "le_or_lt", "def_path": "Mathlib/Init/Order/Defs.lean", "def_pos": [340, 9], "def_end_pos": [340, 17]}]], "state_before": "b : \u211d\n\u22a2 \u222b (x : \u211d), rexp (-b * x ^ 2) = sqrt (... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Algebra/Algebra/Subalgebra/Basic.lean | Subalgebra.mem_toSubmodule | [
348,
1
] | [
348,
69
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/GroupTheory/Submonoid/Basic.lean | Submonoid.mem_iSup | [
550,
1
] | [
553,
43
] | [{"tactic": "rw [\u2190 closure_singleton_le_iff_mem, le_iSup_iff]", "annotated_tactic": ["rw [\u2190 <a>closure_singleton_le_iff_mem</a>, <a>le_iSup_iff</a>]", [{"full_name": "Submonoid.closure_singleton_le_iff_mem", "def_path": "Mathlib/GroupTheory/Submonoid/Basic.lean", "def_pos": [544, 9], "def_end_pos": [544, 37]}... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Combinatorics/SimpleGraph/Subgraph.lean | SimpleGraph.Subgraph.finset_card_neighborSet_eq_degree | [
795,
1
] | [
797,
33
] | [{"tactic": "rw [degree, Set.toFinset_card]", "annotated_tactic": ["rw [<a>degree</a>, <a>Set.toFinset_card</a>]", [{"full_name": "SimpleGraph.Subgraph.degree", "def_path": "Mathlib/Combinatorics/SimpleGraph/Subgraph.lean", "def_pos": [791, 5], "def_end_pos": [791, 11]}, {"full_name": "Set.toFinset_card", "def_path": "... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/FieldTheory/Subfield.lean | Subfield.isGLB_sInf | [
648,
1
] | [
652,
19
] | [{"tactic": "have : \u2200 {s t : Subfield K}, (s : Set K) \u2264 t \u2194 s \u2264 t := by simp [SetLike.coe_subset_coe]", "annotated_tactic": ["have : \u2200 {s t : <a>Subfield</a> K}, (s : <a>Set</a> K) \u2264 t \u2194 s \u2264 t := by simp [<a>SetLike.coe_subset_coe</a>]", [{"full_name": "Subfield", "def_path": "Ma... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/GroupTheory/Nilpotent.lean | lowerCentralSeries_nilpotencyClass | [
428,
1
] | [
431,
63
] | [{"tactic": "rw [\u2190 lowerCentralSeries_length_eq_nilpotencyClass]", "annotated_tactic": ["rw [\u2190 <a>lowerCentralSeries_length_eq_nilpotencyClass</a>]", [{"full_name": "lowerCentralSeries_length_eq_nilpotencyClass", "def_path": "Mathlib/GroupTheory/Nilpotent.lean", "def_pos": [416, 9], "def_end_pos": [416, 53]}]... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/Derivation/Basic.lean | Derivation.smul_apply | [
247,
1
] | [
248,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/Calculus/TangentCone.lean | UniqueDiffWithinAt.mono_nhds | [
259,
1
] | [
263,
83
] | [{"tactic": "simp only [uniqueDiffWithinAt_iff] at *", "annotated_tactic": ["simp only [<a>uniqueDiffWithinAt_iff</a>] at *", [{"full_name": "uniqueDiffWithinAt_iff", "def_path": "Mathlib/Analysis/Calculus/TangentCone.lean", "def_pos": [59, 10], "def_end_pos": [59, 32]}]], "state_before": "\ud835\udd5c : Type u_1\ninst... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/RingTheory/DedekindDomain/Ideal.lean | IsDedekindDomain.exists_representative_mod_finset | [
1373,
1
] | [
1380,
30
] | [{"tactic": "let f := IsDedekindDomain.quotientEquivPiOfFinsetProdEq _ P e prime coprime rfl", "annotated_tactic": ["let f := <a>IsDedekindDomain.quotientEquivPiOfFinsetProdEq</a> _ P e prime coprime <a>rfl</a>", [{"full_name": "IsDedekindDomain.quotientEquivPiOfFinsetProdEq", "def_path": "Mathlib/RingTheory/DedekindDo... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Polynomial/UnitTrinomial.lean | Polynomial.IsUnitTrinomial.trailingCoeff_isUnit | [
171,
1
] | [
172,
72
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/AlgebraicGeometry/Pullbacks.lean | AlgebraicGeometry.Scheme.Pullback.t'_fst_snd | [
153,
1
] | [
158,
41
] | [{"tactic": "delta t'", "annotated_tactic": ["delta <a>t'</a>", [{"full_name": "AlgebraicGeometry.Scheme.Pullback.t'", "def_path": "Mathlib/AlgebraicGeometry/Pullbacks.lean", "def_pos": [123, 5], "def_end_pos": [123, 7]}]], "state_before": "C : Type u\ninst\u271d\u00b9 : Category.{v, u} C\nX Y Z : Scheme\n\ud835\udcb0 ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Rat/NNRat.lean | NNRat.den_coe | [
465,
1
] | [
466,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Real/EReal.lean | EReal.top_sub_coe | [
864,
1
] | [
865,
6
] | [] |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Geometry/Euclidean/Angle/Oriented/RightAngle.lean | Orientation.sin_oangle_add_left_of_oangle_eq_pi_div_two | [
119,
1
] | [
123,
60
] | [{"tactic": "rw [\u2190 neg_inj, oangle_rev, \u2190 oangle_neg_orientation_eq_neg, neg_inj] at h \u22a2", "annotated_tactic": ["rw [\u2190 <a>neg_inj</a>, <a>oangle_rev</a>, \u2190 <a>oangle_neg_orientation_eq_neg</a>, <a>neg_inj</a>] at h \u22a2", [{"full_name": "neg_inj", "def_path": "Mathlib/Algebra/Group/Basic.lean... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Data/Nat/Prime.lean | Nat.prime_def_le_sqrt | [
132,
1
] | [
143,
30
] | [{"tactic": "cases' le_total m k with mk km", "annotated_tactic": ["cases' <a>le_total</a> m k with mk km", [{"full_name": "le_total", "def_path": "Mathlib/Init/Order/Defs.lean", "def_pos": [295, 9], "def_end_pos": [295, 17]}]], "state_before": "p : \u2115\np2 : 2 \u2264 p\na : \u2200 (m : \u2115), 2 \u2264 m \u2192 m ... |
https://github.com/leanprover-community/mathlib4 | 3ce43c18f614b76e161f911b75a3e1ef641620ff | Mathlib/Analysis/SpecialFunctions/Pow/Continuity.lean | Complex.continuousAt_ofReal_cpow_const | [
413,
1
] | [
416,
58
] | [] |
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