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6
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allowCompletion
bool
2 classes
HomologicalComplex.acyclic_iff
Mathlib.Algebra.Homology.ShortComplex.HomologicalComplex
[ "CategoryTheory.Limits.HasZeroMorphisms", "HomologicalComplex.ExactAt", "Iff.rfl", "HomologicalComplex", "ComplexShape", "Iff", "HomologicalComplex.Acyclic", "CategoryTheory.Category" ]
true
Lean.Name.getNumParts._unsafe_rec
Lean.Data.Name
[ "String", "Lean.Name.getNumParts._unsafe_rec", "instOfNatNat", "instHAdd", "Unit", "HAdd.hAdd", "Nat", "instAddNat", "Lean.Name", "_private.Lean.Data.Name.0.Lean.Name.getPrefix.match_1", "OfNat.ofNat" ]
false
_private.Mathlib.Algebra.Homology.DerivedCategory.Ext.TStructure.0.CategoryTheory.HasExt.hasSmallLocalizedShiftedHom_of_isLE_of_isGE._simp_1_2
Mathlib.Algebra.Homology.DerivedCategory.Ext.TStructure
[ "CategoryTheory.Mono", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.cancel_mono", "propext", "CategoryTheory.CategoryStruct.comp", "CategoryTheory.Category.toCategoryStruct", "Eq", "CategoryTheory.Category" ]
false
Lean.Grind.ToInt.of_le
Init.Grind.ToIntLemmas
[ "Lean.Grind.ToInt.LE.le_iff", "Lean.Grind.ToInt.toInt", "congrArg", "Eq.mp", "Lean.Grind.ToInt.LE", "Int", "LE.le", "LE", "Iff.mp", "Eq", "Lean.Grind.ToInt", "Int.instLEInt", "Lean.Grind.IntInterval" ]
true
_private.Mathlib.GroupTheory.SpecificGroups.Alternating.0.Equiv.Perm.closure_three_cycles_eq_alternating._proof_1_3
Mathlib.GroupTheory.SpecificGroups.Alternating
[ "Lean.RArray.leaf", "False", "Lean.Grind.CommRing.Mon.mult", "Lean.Grind.CommRing.Poly", "Lean.Grind.CommRing.Expr", "HMul.hMul", "Lean.Grind.CommRing.Expr.mul", "Subgroup.closure", "Equiv.Perm.instOne", "eq_false", "Lean.Grind.iff_eq", "Lean.Grind.CommRing.Poly.add", "Lean.Grind.CommRing.Ex...
false
Filter.HasBasis.cauchySeq_iff'
Mathlib.Topology.UniformSpace.Cauchy
[ "Filter.instMembership", "UniformSpace", "le_rfl", "comp_symm_of_uniformity", "CauchySeq", "Filter.HasBasis.mem_iff", "SetRel", "Filter.HasBasis.cauchySeq_iff", "uniformity", "PartialOrder.toPreorder", "Preorder.toLE", "Membership.mem", "Exists", "GE.ge", "Prod.mk", "Exists.imp", "LE...
true
RingPreordering
Mathlib.Algebra.Order.Ring.Ordering.Defs
[ "CommRing", "RingPreordering.mk" ]
true
Real.fourierIntegral_convergent_iff._simp_1
Mathlib.Analysis.Fourier.FourierTransform
[ "Real", "instHSMul", "MeasureTheory.Measure", "NormedSpace", "Inner.inner", "Real.instAddMonoid", "Real.instRCLike", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "Real.fourierChar", "NormedSpace.toModule", "AddMonoid.toAddZeroClass", "Complex.instNormedField", "PseudoM...
false
SSet.prodStdSimplex.orderHomOfSimplex_coe
Mathlib.AlgebraicTopology.SimplicialSet.ProdStdSimplex
[ "Opposite", "CategoryTheory.typesCartesianMonoidalCategory", "SSet.prodStdSimplex.orderHomOfSimplex._proof_2", "PartialOrder.toPreorder", "CategoryTheory.Functor.category", "Fin.mk", "instOfNatNat", "CategoryTheory.Monoidal.functorCategoryMonoidalStruct", "SSet", "CategoryTheory.SemiCartesianMonoi...
true
AddMonoid.Coprod.clift._proof_1
Mathlib.GroupTheory.Coprod.Basic
[ "AddMonoidHom.instAddMonoidHomClass", "AddMonoid.toAddZeroClass", "FreeAddMonoid.instAddCancelMonoid", "AddCancelMonoid.toAddRightCancelMonoid", "AddZeroClass.toAddZero", "Sum", "AddZeroClass", "AddMonoidHomClass.toAddHomClass", "AddRightCancelMonoid.toAddMonoid", "AddHomClass", "AddZero.toAdd",...
false
MeasureTheory.lintegral_rnDeriv_mul
Mathlib.MeasureTheory.Measure.Decomposition.RadonNikodym
[ "Eq.mpr", "MeasureTheory.Measure.withDensity", "MeasureTheory.Measure", "HMul.hMul", "Measurable.aemeasurable", "AEMeasurable", "congrArg", "CommSemiring.toSemiring", "MeasureTheory.Measure.rnDeriv", "ENNReal.measurableSpace", "MeasureTheory.Measure.AbsolutelyContinuous", "id", "ENNReal.inst...
true
_private.Mathlib.Combinatorics.SetFamily.Shadow.0.Set.Sized.shadow_iterate._simp_1_2
Mathlib.Combinatorics.SetFamily.Shadow
[ "Finset.shadow", "Finset.mem_shadow_iterate_iff_exists_sdiff", "Finset", "PartialOrder.toPreorder", "Preorder.toLE", "Finset.instSDiff", "Membership.mem", "Exists", "LE.le", "Nat.iterate", "SDiff.sdiff", "And", "Finset.instSetLike", "Nat", "propext", "Finset.card", "Finset.instPartia...
false
PiLp.basis_toMatrix_basisFun_mul
Mathlib.Analysis.Normed.Lp.PiLp
[ "Finsupp.instFunLike", "WithLp", "Pi.Function.module", "LinearEquiv.symm", "Semiring.toModule", "Pi.addCommMonoid", "Equiv.instEquivLike", "Finsupp.module", "HMul.hMul", "SeminormedCommRing", "Module.Basis.map._proof_1", "congrArg", "CommSemiring.toSemiring", "SeminormedCommRing.toCommRing...
true
Polynomial.ringHom_ext'
Mathlib.Algebra.Polynomial.Monomial
[ "Polynomial.C", "RingHom.congr_fun", "RingHom", "Polynomial.ringHom_ext", "Polynomial", "RingHom.comp", "RingHom.instFunLike", "Polynomial.semiring", "Semiring", "Polynomial.X", "Semiring.toNonAssocSemiring", "Eq", "DFunLike.coe" ]
true
AlgHom.Finite.comp
Mathlib.RingTheory.Finiteness.Basic
[ "AlgHom.Finite", "CommRing", "AlgHom.toMonoidHom'._proof_2", "RingHom.Finite.comp", "CommSemiring.toSemiring", "AlgHom", "AlgHom.funLike", "Algebra", "CommRing.toCommSemiring", "AlgHom.toRingHom", "RingHomClass.toRingHom", "AlgHom.comp", "Semiring.toNonAssocSemiring" ]
true
ContinuousMap.partialOrder._proof_3
Mathlib.Topology.ContinuousMap.Ordered
[ "ContinuousMap", "PartialOrder.toPreorder", "Preorder.toLE", "PartialOrder", "LE.le", "TopologicalSpace", "Pi.partialOrder", "Function.Injective.preorder._proof_2", "LE.mk", "ContinuousMap.toFun", "PartialOrder.lift._proof_1" ]
false
_private.Mathlib.LinearAlgebra.Transvection.Basic.0.LinearEquiv.symm_mem_dilatransvections_iff._simp_1_2
Mathlib.LinearAlgebra.Transvection.Basic
[ "LinearEquiv.symm", "LinearEquiv.symm_apply_eq", "RingHom", "AddCommMonoid", "RingHomInvPair", "LinearEquiv", "propext", "Semiring", "LinearEquiv.instEquivLike", "Module", "Semiring.toNonAssocSemiring", "Eq", "DFunLike.coe", "EquivLike.toFunLike" ]
false
ContinuousMultilinearMap.analyticOn_uncurry_compContinuousLinearMap
Mathlib.Analysis.Analytic.CPolynomial
[ "NormedCommRing.toSeminormedCommRing", "ContinuousLinearMap.toNormedAddCommGroup", "AnalyticOn", "Prod.normedSpace", "Prod.normedAddCommGroup", "NormedSpace", "AddCommGroup.toAddCommMonoid", "NormedSpace.toModule", "PseudoMetricSpace.toUniformSpace", "AddCommGroup.toAddGroup", "ContinuousMultili...
true
Vector.neg_zero
Init.Data.Vector.Algebra
[ "Vector.instZero", "Vector", "_private.Init.Data.Vector.Algebra.0.Vector.neg_zero._proof_1_2", "Neg", "Nat", "Zero.toOfNat0", "OfNat.ofNat", "Eq", "Neg.neg", "Vector.instNeg", "Zero" ]
true
AdjoinRoot.mul_div_root_cancel
Mathlib.RingTheory.AdjoinRoot
[ "Polynomial.C", "instHDiv", "HMul.hMul", "AdjoinRoot", "HSub.hSub", "RingHom", "Field.toDivisionRing", "Fact", "Polynomial.IsRoot.mul_div_eq", "Irreducible", "HDiv.hDiv", "DivisionRing.toRing", "Field.toSemifield", "Field.toCommRing", "Polynomial", "RingHom.instFunLike", "instHSub", ...
true
Std.TreeMap.equiv_iff_keysArray_unit_perm
Std.Data.TreeMap.Lemmas
[ "_private.Std.Data.TreeMap.Lemmas.0.Std.TreeMap.equiv_iff_equiv", "Std.TreeMap.Equiv", "Std.TreeMap.keysArray", "Std.TreeMap.inner", "Ordering", "Std.DTreeMap.Const.equiv_iff_keysArray_unit_perm", "Array.Perm", "Unit", "Iff", "Iff.trans", "Std.DTreeMap.Equiv", "Std.TreeMap" ]
true
Finset.map_subset_iff_subset_preimage
Mathlib.Data.Finset.Preimage
[ "Eq.mpr", "congrArg", "Function.Injective.injOn", "Finset", "Iff.rfl", "PartialOrder.toPreorder", "Classical.propDecidable", "Preorder.toLE", "Finset.map", "id", "LE.le", "Finset.image_subset_iff_subset_preimage", "Function.Embedding", "Iff", "SetLike.coe", "Set.preimage", "Finset.in...
true
_private.Mathlib.Computability.Primrec.List.0.Primrec.vector_head.match_1_1
Mathlib.Computability.Primrec.List
[ "False", "HEq.refl", "False.elim", "List.Vector", "Subtype.casesOn", "noConfusion_of_Nat", "Eq.casesOn", "List.cons", "Subtype.mk", "List", "Nat", "List.casesOn", "Nat.ctorIdx", "Eq.refl", "HEq", "Nat.succ", "Eq", "List.length", "List.nil" ]
false
StandardEtalePair.equivAwayAdjoinRoot
Mathlib.RingTheory.Etale.StandardEtale
[ "CommRing", "StandardEtalePair.equivAwayAdjoinRoot._proof_7", "AdjoinRoot", "Algebra.algebraMap", "OreLocalization.instAlgebra", "CommSemiring.toSemiring", "StandardEtalePair.f", "Localization.Away", "RingHom", "IsLocalization.Away.liftAlgHom", "Algebra.id", "StandardEtalePair.lift", "Standa...
true
Algebra.coe_top
Mathlib.Algebra.Algebra.Subalgebra.Lattice
[ "Subalgebra.instSetLike", "Lattice.toSemilatticeSup", "CompleteLattice.toLattice", "Set.univ", "PartialOrder.toPreorder", "Algebra.instCompleteLatticeSubalgebra", "Algebra", "Preorder.toLE", "CompleteLattice.toBoundedOrder", "CommSemiring", "OrderTop.toTop", "SetLike.coe", "BoundedOrder.toOr...
true
USize.toBitVec_ofNat
Init.Data.UInt.Lemmas
[ "BitVec", "BitVec.ofNat", "System.Platform.numBits", "USize.toBitVec", "Nat", "OfNat.ofNat", "Eq", "rfl", "USize", "USize.instOfNat" ]
true
Finset.Iic_toDual
Mathlib.Order.Interval.Finset.Defs
[ "OrderDual.toDual", "Equiv.instEquivLike", "LocallyFiniteOrderTop", "Finset", "OrderDual.instLocallyFiniteOrderBot", "Finset.map", "Equiv", "Finset.Ici", "Equiv.toEmbedding", "Finset.map_refl", "Finset.Iic", "OrderDual", "Eq.symm", "OrderDual.instPreorder", "Function.Embedding.refl", "...
true
fderivWithin_comp_add_right
Mathlib.Analysis.Calculus.FDeriv.Add
[ "fderivWithin_comp_add_left", "NormedSpace", "instVAddOfAdd", "congrArg", "AddCommGroup.toAddCommMonoid", "NormedSpace.toModule", "PseudoMetricSpace.toUniformSpace", "NormedField.toField", "Set.vaddSet", "add_comm", "Field.toSemifield", "HVAdd.hVAdd", "ContinuousLinearMap", "fderivWithin",...
true
AddCommGrpCat.instCoeSortType.eq_1
Mathlib.Algebra.Category.Grp.Basic
[ "AddCommGrpCat.carrier", "AddCommGrpCat", "CoeSort.mk", "Eq.refl", "AddCommGrpCat.instCoeSortType", "CoeSort", "Eq" ]
true
_private.Mathlib.Analysis.Convex.MetricSpace.0.Convexity.continuous_convexCombPair_of_isBounded._simp_1_5
Mathlib.Analysis.Convex.MetricSpace
[ "Membership.mem", "Set.preimage", "propext", "Eq", "Set.instMembership", "Set.mem_preimage", "Set" ]
false
Hypergraph.Adj.symm
Mathlib.Combinatorics.Hypergraph.Basic
[ "_private.Mathlib.Combinatorics.Hypergraph.Basic.0.Hypergraph.Adj.symm._proof_1_2", "Hypergraph.Adj", "Hypergraph" ]
true
AddActionHom.End.addOppositeEquiv_symm_apply_apply
Mathlib.GroupTheory.GroupAction.Hom
[ "AddActionHom.End.addOppositeEquiv", "AddMonoid.toAddSemigroup", "AddMonoid.toAddZeroClass", "AddZeroClass.toAddZero", "AddOpposite", "id", "AddActionHom", "AddAction.toAddSemigroupAction", "instHAdd", "instFunLikeAddActionHom", "AddSemigroupAction.toVAdd", "HAdd.hAdd", "AddMonoid", "AddOp...
true
Equiv.Perm.sumCongr_refl
Mathlib.Logic.Equiv.Sum
[ "Equiv.sumCongr_refl", "Sum", "Equiv.Perm", "Equiv.Perm.sumCongr", "Equiv.refl", "Eq" ]
true
AlgebraicGeometry.Scheme.exists_isQuasiAffine_of_isLimit
Mathlib.AlgebraicGeometry.AffineTransitionLimit
[ "Iff.mpr", "Eq.mpr", "CategoryTheory.Limits.Cone.π", "CategoryTheory.Functor", "AlgebraicGeometry.SheafedSpace.instTopologicalSpaceCarrierCarrier", "CategoryTheory.Limits.Cone", "Eq.ge", "AlgebraicGeometry.Scheme", "Lattice.toSemilatticeSup", "Opposite", "ChainCompletePartialOrder.instOfComplete...
true
CategoryTheory.Functor.isoWhiskerLeft_hom
Mathlib.CategoryTheory.Whiskering
[ "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Functor.category", "CategoryTheory.Functor.comp", "CategoryTheory.Functor.whiskerLeft", "CategoryTheory.Iso", "CategoryTheory.Functor.isoWhiskerLeft", "CategoryTheory.Category.toCategoryStruct", "Cate...
true
_private.Mathlib.Data.Num.ZNum.0.Num.toZNumNeg_succ.match_1_1
Mathlib.Data.Num.ZNum
[ "Unit.unit", "Num", "Unit", "Num.pos", "PosNum", "Num.casesOn", "Num.zero" ]
false
_private.Mathlib.NumberTheory.Bernoulli.0.Bernoulli.pIntegral_bernoulli_even_term._proof_1_9
Mathlib.NumberTheory.Bernoulli
[ "Int.Linear.eq_of_core", "Lean.RArray.leaf", "False", "Int.Linear.le_coeff", "HMul.hMul", "of_decide_eq_true", "Int.Linear.Expr.eq_of_norm_eq", "congrArg", "Int.Linear.le_norm_expr", "Int.Linear.le_unsat", "Int.Linear.le_neg", "Classical.byContradiction", "HSub.hSub", "Lean.Grind.CommSemir...
false
IsUpperSet.closure
Mathlib.Topology.Algebra.Order.UpperLower
[ "HasUpperLowerClosure", "IsUpperSet", "Preorder.toLE", "TopologicalSpace", "closure", "HasUpperLowerClosure.isUpperSet_closure", "Preorder", "Set" ]
true
AlgebraicGeometry.Scheme.GlueData.oneHypercover_I₀
Mathlib.AlgebraicGeometry.GluingOneHypercover
[ "AlgebraicGeometry.Scheme.GlueData", "AlgebraicGeometry.Scheme", "AlgebraicGeometry.Scheme.zariskiTopology", "CategoryTheory.PreOneHypercover.toPreZeroHypercover", "CategoryTheory.GlueData.J", "CategoryTheory.PreZeroHypercover.I₀", "CategoryTheory.GrothendieckTopology.OneHypercover.toPreOneHypercover", ...
true
RelIso.trans
Mathlib.Order.RelIso.Basic
[ "RelIso.mk", "Equiv.trans", "RelIso", "RelIso.trans._proof_1", "RelIso.toEquiv" ]
true
Filter.Germ.instField._proof_10
Mathlib.Order.Filter.FilterProduct
[ "Semiring.toNatCast", "Int.cast", "Rat.num", "instHDiv", "DivisionRing.toRatCast", "Rat", "Rat.den", "Field.toDivisionRing", "HDiv.hDiv", "Rat.cast", "DivisionRing.toRing", "DivisionRing.toDiv", "Nat.cast", "Filter.Germ", "DivisionRing.ratCast_def", "Ring.toIntCast", "Ultrafilter", ...
false
Std.Time.instOrdDuration
Std.Time.Duration
[ "Ord", "compareLex", "Std.Time.Nanosecond.instOrdSpan", "Ord.mk", "Std.Time.Nanosecond.Span", "Std.Time.Second.Offset", "Std.Time.Duration.nano", "compareOn", "Std.Time.Duration.second", "Std.Time.Second.instOrdOffset", "Std.Time.Duration" ]
true
IsConnected.iUnion_of_chain
Mathlib.Topology.Connected.Basic
[ "Order.succ", "IsConnected", "IsConnected.iUnion_of_reflTransGen", "LinearOrder", "PartialOrder.toPreorder", "Membership.mem", "SemilatticeInf.toPartialOrder", "DistribLattice.toLattice", "Set.instInter", "Set.Ico", "Inter.inter", "TopologicalSpace", "Set.Nonempty", "_private.Mathlib.Topol...
true
_private.Mathlib.NumberTheory.RamificationInertia.Basic.0.Ideal.quotientToQuotientRangePowQuotSuccAux._simp_1
Mathlib.NumberTheory.RamificationInertia.Basic
[ "Submodule", "LinearMap.instFunLike", "RingHom", "Membership.mem", "Exists", "LinearMap.range", "LinearMap", "AddCommMonoid", "LinearMap.mem_range", "Submodule.setLike", "propext", "Semiring", "RingHomSurjective", "Module", "Semiring.toNonAssocSemiring", "Eq", "DFunLike.coe", "SetL...
false
Std.Internal.Do.Spec.Iter.foldM_map
Std.Internal.Do.Triple.SpecLemmas
[ "Pure.pure", "Eq.mpr", "Std.Iter.foldM_map", "congrArg", "Monad.toApplicative", "Std.Iterators.Types.Map.instIterator", "Std.Iter.foldM", "Std.Internal.Do.WPMonad", "MonadLiftT.monadLift", "instMonadLiftT", "Std.IteratorLoop", "Std.Iterators.Finite", "id", "LawfulMonad", "Std.Internal.Do...
true
MulAction.IsPretransitive.of_compHom
Mathlib.Algebra.Group.Action.Hom
[ "Monoid", "instHSMul", "MonoidHom.instFunLike", "MonoidHom", "Monoid.toMulOneClass", "MulAction.IsPretransitive", "MulOneClass.toMulOne", "MulAction.IsPretransitive.of_smul_eq", "MulAction", "Monoid.toSemigroup", "HSMul.hSMul", "SemigroupAction.toSMul", "MulAction.toSemigroupAction", "DFun...
true
AlgebraicTopology.DoldKan.Γ₀'_obj
Mathlib.AlgebraicTopology.DoldKan.FunctorGamma
[ "AlgebraicTopology.DoldKan.Γ₀.obj", "CategoryTheory.SimplicialObject.Split.mk'", "ChainComplex", "HomologicalComplex.instCategory", "Nat.instOne", "CategoryTheory.SimplicialObject.instCategorySplit", "AddRightCancelSemigroup.toAddSemigroup", "AddCancelMonoid.toAddRightCancelMonoid", "CategoryTheory....
true
convex_sInter
Mathlib.Analysis.Convex.Basic
[ "SMul", "Membership.mem", "starConvex_sInter", "PartialOrder", "AddCommMonoid", "Convex", "Semiring", "Set.sInter", "Set.instMembership", "Set" ]
true
_private.Mathlib.Algebra.Homology.Opposite.0.HomologicalComplex.quasiIso_opFunctor_map_iff._simp_1_1
Mathlib.Algebra.Homology.Opposite
[ "CategoryTheory.Limits.HasZeroMorphisms", "HomologicalComplex.instCategory", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "HomologicalComplex.HasHomology", "HomologicalComplex", "ComplexShape", "quasiIso_iff", "propext", "CategoryTheory.Category.toCategoryStruct", "QuasiIsoAt", "Qua...
false
Asymptotics.instTransIsBigOTVSIsThetaTVS
Mathlib.Analysis.Asymptotics.TVS
[ "NormedCommRing.toSeminormedCommRing", "Asymptotics.IsBigOTVS", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "AddMonoid.toAddZeroClass", "PseudoMetricSpace.toUniformSpace", "AddCommGroup.toAddGroup", "NormedField.toField", "AddZeroClass.toAddZero", "AddCommGroup", "Seminorme...
true
TrivSqZeroExt.commSemiring._proof_2
Mathlib.Algebra.TrivSqZeroExt.Basic
[ "Semigroup.toMul", "TrivSqZeroExt", "TrivSqZeroExt.commMonoid", "HMul.hMul", "CommSemiring.toSemiring", "DistribMulAction.toDistribSMul", "CommMonoid.mul_comm", "AddMonoid.toAddZeroClass", "MulOpposite", "AddZeroClass.toAddZero", "DistribSMul.toSMulZeroClass", "AddCommMonoid", "CommSemiring"...
false
CochainComplex.liftCycles_shift_homologyπ._proof_2
Mathlib.Algebra.Homology.HomotopyCategory.ShiftSequence
[ "_private.Mathlib.Algebra.Homology.HomotopyCategory.ShiftSequence.0.CochainComplex.liftCycles_shift_homologyπ._proof_1", "Int", "instHAdd", "HAdd.hAdd", "Int.instAdd", "Eq" ]
false
TopHom.dual_id
Mathlib.Order.Hom.Bounded
[ "Equiv.instEquivLike", "TopHom.dual", "Equiv", "OrderTop", "LE", "OrderDual.instBotOfTop", "TopHom.id", "OrderTop.toTop", "TopHom", "OrderDual", "Eq", "DFunLike.coe", "BotHom", "rfl", "EquivLike.toFunLike", "BotHom.id" ]
true
CategoryTheory.CartesianMonoidalCategory.ofChosenFiniteProducts.leftUnitor_naturality
Mathlib.CategoryTheory.Monoidal.Cartesian.Basic
[ "CategoryTheory.Limits.Cone.π", "CategoryTheory.Functor", "CategoryTheory.CartesianMonoidalCategory.ofChosenFiniteProducts.tensorHom", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.Limits.BinaryFan.IsLimit.lift'_coe", "CategoryTheory.CartesianMonoidalCategory.ofCh...
true
_private.Lean.Elab.Tactic.RCases.0.Lean.Elab.Tactic.RCases.processConstructor._unary.eq_def
Lean.Elab.Tactic.RCases
[ "cond", "Eq.mpr", "Inhabited.default", "_private.Lean.Elab.Tactic.RCases.0.Lean.Elab.Tactic.RCases.processConstructor.match_1", "bne", "Lean.Elab.Tactic.RCases.RCasesPatt", "Bool.not", "_private.Lean.Elab.Tactic.RCases.0.Lean.Elab.Tactic.RCases.RCasesPatt.name?", "_private.Lean.Elab.Tactic.RCases.0....
false
Units.mulLeftLinearEquiv_apply
Mathlib.Algebra.Module.Equiv.Basic
[ "Units.val", "NonAssocSemiring.toAddCommMonoidWithOne", "MonoidHom.instFunLike", "instSMulOfMul", "HMul.hMul", "MonoidHom", "Monoid.toMulOneClass", "DistribMulAction.toDistribSMul", "AddMonoid.toAddZeroClass", "Units", "AddZeroClass.toAddZero", "DistribSMul.toSMulZeroClass", "DivInvMonoid.to...
true
CategoryTheory.instCategoryInd._proof_7
Mathlib.CategoryTheory.Limits.Indization.Category
[ "Quiver.mk", "CategoryTheory.Functor", "Opposite", "CategoryTheory.CategoryStruct.mk", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.ShrinkHoms.instCategory._proof_2", "CategoryTheory.instCategoryInd._aux_1", "CategoryTheory.Functor.category", "CategoryTheory.Ind", "Cat...
false
Ctop.Realizer.mk.sizeOf_spec
Mathlib.Data.Analysis.Topology
[ "Ctop.toTopsp", "instSizeOfDefault", "instOfNatNat", "Ctop", "Ctop.Realizer", "TopologicalSpace", "instHAdd", "Ctop.Realizer.mk", "HAdd.hAdd", "Nat", "SizeOf.sizeOf", "instAddNat", "Eq.refl", "Ctop._sizeOf_inst", "SizeOf", "OfNat.ofNat", "Eq", "Ctop.Realizer._sizeOf_inst" ]
true
ProbabilityTheory.iCondIndepFun.indepFun_sub_left
Mathlib.Probability.Independence.Conditional
[ "StandardBorelSpace", "MeasureTheory.Measure", "MeasurableSpace.instLE", "ProbabilityTheory.iCondIndepFun", "Measurable", "HSub.hSub", "MeasureTheory.Measure.trim", "MeasurableSub₂", "ProbabilityTheory.Kernel.iIndepFun.indepFun_sub_left", "Ne", "LE.le", "ProbabilityTheory.condExpKernel", "Me...
true
continuousPregroupoid
Mathlib.Geometry.Manifold.StructureGroupoid
[ "trivial", "Membership.mem", "Exists", "Set.instInter", "Inter.inter", "Pregroupoid", "TopologicalSpace", "And", "Set.preimage", "True", "IsOpen", "Eq", "Set.instMembership", "Pregroupoid.mk", "Set" ]
true
CategoryTheory.Subgroupoid.disconnect_normal
Mathlib.CategoryTheory.Groupoid.Subgroupoid
[ "CategoryTheory.Subgroupoid.disconnect", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Groupoid.inv", "CategoryTheory.Subgroupoid.IsNormal.toIsWide", "Membership.mem", "CategoryTheory.CategoryStruct.id", "CategoryTheory.Groupoid", "CategoryTheory.Subgroupoid.IsWide.wide", ...
true
LinearEquiv.domMulActCongrRight._proof_1
Mathlib.Algebra.Module.Equiv.Basic
[ "DomMulAct", "RingHomInvPair", "DomMulAct.instSemiringOfMulOpposite", "MulOpposite.instSemiring", "RingHomInvPair.ids", "Semiring", "RingHom.id", "Semiring.toNonAssocSemiring" ]
false
Std.Http.Protocol.H1.Reader.State.needHeader.sizeOf_spec
Std.Http.Protocol.H1.Reader
[ "instOfNatNat", "Std.Http.Protocol.H1.Reader.State._sizeOf_inst", "Std.Http.Protocol.H1.Reader.State", "instHAdd", "Std.Http.Protocol.H1.Reader.State.needHeader", "HAdd.hAdd", "Std.Http.Protocol.H1.Direction", "Nat", "SizeOf.sizeOf", "instAddNat", "Eq.refl", "instSizeOfNat", "OfNat.ofNat", ...
true
isQuotientMap_projIcc
Mathlib.Topology.Order.ProjIcc
[ "Set.ext", "OrderTopology", "congrArg", "LinearOrder", "PartialOrder.toPreorder", "Topology.IsCoinducing", "Set.projIcc", "Preorder.toLE", "Membership.mem", "SemilatticeInf.toPartialOrder", "Set.Elem", "DistribLattice.toLattice", "Subtype", "LE.le", "Set.mem_preimage._simp_1", "iff_sel...
true
CategoryTheory.Under.isoMk_hom_right
Mathlib.CategoryTheory.Comma.Over.Basic
[ "CategoryTheory.instCategoryUnder", "CategoryTheory.Comma.right", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Functor.id", "CategoryTheory.Under.hom", "CategoryTheory.Iso", "CategoryTheory.Under.right", "CategoryTheory.Under.isoMk", "CategoryTheory.Under", "autoParam"...
true
_private.Lean.Elab.DefView.0.Lean.Elab.DefKind.isTheorem._sparseCasesOn_1
Lean.Elab.DefView
[ "Lean.Elab.DefKind.def", "Lean.Elab.DefKind.ctorIdx", "Lean.Elab.DefKind.instance", "Nat.ne_of_beq_eq_false", "Nat.shiftRight", "Lean.Elab.DefKind.rec", "Nat.hasNotBit", "Lean.Elab.DefKind.opaque", "instOfNatNat", "Lean.Elab.DefKind.abbrev", "Nat.land", "Nat", "Bool", "Eq.refl", "OfNat.o...
false
_private.Init.GrindInstances.ToInt.0.Lean.Grind.instOfNatInt8SintOfNatNat._proof_2
Init.GrindInstances.ToInt
[ "instDecidableNot", "Int.instDiv", "False", "Lean.Omega.Constraint.not_sat'_of_isImpossible", "instHDiv", "HMul.hMul", "of_decide_eq_true", "le_of_le_of_eq", "Lean.Omega.Constraint.mk", "Lean.Omega.Constraint.combine_sat'", "Int.add_one_le_of_lt", "HSub.hSub", "Lean.Omega.Int.add_congr", "...
false
RootPairing.Base.casesOn
Mathlib.LinearAlgebra.RootSystem.Base
[ "NegZeroClass.toNeg", "CommRing", "CommSemiring.toSemiring", "RootPairing.Base", "AddCommGroup.toAddCommMonoid", "Finset", "AddMonoid.toAddZeroClass", "AddCommGroup.toAddGroup", "Membership.mem", "AddCommGroup", "AddSubmonoid", "SubtractionMonoid.toSubNegZeroMonoid", "SubNegZeroMonoid.toNegZ...
false
Int.fib_natCast
Mathlib.Data.Int.Fib.Basic
[ "Int.fib", "Int", "Nat.cast", "Nat.fib", "Nat", "instNatCastInt", "Eq", "rfl" ]
true
PartialEquiv.noConfusion
Mathlib.Logic.Equiv.PartialEquiv
[ "HEq.refl", "PartialEquiv", "Membership.mem", "PartialEquiv.noConfusionType", "PartialEquiv.casesOn", "eq_of_heq", "Eq.ndrec", "HEq", "Eq", "Set.instMembership", "Set" ]
false
Lex.instAddCommSemigroup
Mathlib.Algebra.Order.Group.Synonym
[ "Lex", "AddCommSemigroup.mk", "AddCommSemigroup.toAddSemigroup", "Lex.instAddSemigroup", "Lex.instAddCommSemigroup._proof_1", "AddCommSemigroup" ]
true
IsIsotypicOfType.linearEquiv_fun
Mathlib.RingTheory.SimpleModule.Isotypic
[ "Pi.Function.module", "instDecidableNot", "Submodule", "LinearEquiv.symm", "Pi.addCommMonoid", "Finsupp.module", "AddCommGroup.toAddCommMonoid", "Submodule.addCommMonoid", "AddMonoid.toAddZeroClass", "instDecidableEqFin", "Finsupp.linearEquivFunOnFinite", "IsIsotypicOfType._proof_1", "Classi...
true
_private.Mathlib.Combinatorics.Additive.FreimanHom.0.isAddFreimanHom_antitone.match_1_1
Mathlib.Combinatorics.Additive.FreimanHom
[ "IsAddFreimanHom", "AddCancelCommMonoid", "Multiset", "instOfNatNat", "AddCommMonoid", "instHAdd", "HAdd.hAdd", "Nat", "AddCancelCommMonoid.toAddCommMonoid", "instAddNat", "Nat.zero", "Multiset.card", "OfNat.ofNat", "Nat.succ", "Eq", "Nat.casesOn", "Set" ]
false
CategoryTheory.Abelian.SpectralObject.sequenceΨ_exact
Mathlib.Algebra.Homology.SpectralObject.Differentials
[ "CategoryTheory.Abelian.toPreadditive", "CategoryTheory.Abelian.SpectralObject.cycles", "CategoryTheory.Abelian.SpectralObject.Ψ_opcyclesMap", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Abelian.SpectralObject.cyclesMap_Ψ_exact", "CategoryTheory.Abelian.SpectralObject.opcycle...
true
CategoryTheory.MonoidalOpposite.mopMopEquivalence_inverse_obj_unmop_unmop
Mathlib.CategoryTheory.Monoidal.Opposite
[ "CategoryTheory.MonoidalOpposite.unmop", "CategoryTheory.MonoidalOpposite", "Eq.refl", "Eq", "CategoryTheory.MonoidalOpposite.mopMopEquivalence", "CategoryTheory.Functor.obj", "CategoryTheory.Category", "CategoryTheory.MonoidalOpposite.monoidalOppositeCategory", "CategoryTheory.Equivalence.inverse" ...
true
_private.Mathlib.MeasureTheory.Function.Holder.0.MeasureTheory.Lp.smul_assoc._simp_1_1
Mathlib.MeasureTheory.Function.Holder
[ "instHSMul", "MeasureTheory.Measure", "NormedRing.toRing", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "MeasureTheory.Lp.instModule", "AddMonoid.toAddZeroClass", "PseudoMetricSpace.toUniformSpace", "Module.toMulActionWithZero", "AddCommGroup.toAddGroup", "AddSubgroup.toAddG...
false
uniformity_eq_comap_nhds_zero'
Mathlib.Topology.Algebra.IsUniformGroup.Defs
[ "AddGroup.toSubtractionMonoid", "NegZeroClass.toNeg", "AddMonoid.toAddZeroClass", "uniformity", "nhds", "AddZeroClass.toAddZero", "SubtractionMonoid.toSubNegZeroMonoid", "SubNegZeroMonoid.toNegZeroClass", "Prod.fst", "TopologicalSpace", "instHAdd", "AddGroup", "AddGroup.toSubNegMonoid", "H...
true
CircleDeg1Lift.translate._proof_1
Mathlib.Dynamics.Circle.RotationNumber.TranslationNumber
[ "Real", "Equiv.instEquivLike", "Monotone", "Equiv", "Real.instAdd", "Multiplicative", "instHAdd", "HAdd.hAdd", "Real.instAddCommMonoid", "Multiplicative.toAdd", "Real.instIsOrderedAddMonoid", "add_right_mono", "DFunLike.coe", "Real.instPreorder", "EquivLike.toFunLike", "IsOrderedAddMon...
false
Lean.Lsp.WorkspaceEditClientCapabilities._sizeOf_inst
Lean.Data.Lsp.Capabilities
[ "Lean.Lsp.WorkspaceEditClientCapabilities", "SizeOf.mk", "Lean.Lsp.WorkspaceEditClientCapabilities._sizeOf_1", "SizeOf" ]
false
CategoryTheory.Pseudofunctor.StrongTrans.id._proof_6
Mathlib.CategoryTheory.Bicategory.NaturalTransformation.Pseudo
[ "CategoryTheory.Category.assoc", "CategoryTheory.Iso.inv_hom_id", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Bicategory.whiskerLeft_comp", "CategoryTheory.Bicategory.whiskerRight_id", "congrArg", "CategoryTheory.Bicategory.comp_whiskerRight", "CategoryTheory.Bicategory.r...
false
Std.Tactic.BVDecide.BVExpr.bitblast.blastCpopLayer.go._unary._proof_1
Std.Tactic.BVDecide.Bitblast.BVExpr.Circuit.Impl.Operations.Cpop
[ "Std.Sat.AIG.Decl", "HMul.hMul", "Std.Tactic.BVDecide.BVExpr.bitblast.ExtractTarget.mk", "instMulNat", "instOfNatNat", "LE.le", "instLENat", "Std.Tactic.BVDecide.BVExpr.bitblast.ExtractTarget", "Std.Sat.AIG", "Nat", "Std.Tactic.BVDecide.BVExpr.bitblast.blastExtract", "Hashable", "Std.Sat.AIG...
false
MonoidHom.map_mulIndicator
Mathlib.Algebra.Group.Indicator
[ "One", "Set.mulIndicator", "Function.comp", "OneHomClass", "map_mulIndicator", "Eq", "DFunLike.coe", "FunLike", "Set" ]
true
Lean.ScopedEnvExtension.Entry._sizeOf_1
Lean.ScopedEnvExtension
[ "Lean.ScopedEnvExtension.Entry", "instOfNatNat", "instHAdd", "HAdd.hAdd", "Lean.instSizeOfName", "Nat", "SizeOf.sizeOf", "instAddNat", "Lean.Name", "Lean.ScopedEnvExtension.Entry.rec", "SizeOf", "OfNat.ofNat" ]
false
DyckWord.instUniqueAddUnits._proof_1
Mathlib.Combinatorics.Enumerative.DyckWord
[ "Iff.mpr", "Inhabited.default", "AddMonoid.toAddSemigroup", "DyckWord.toList_eq_nil", "AddMonoid.toAddZeroClass", "AddCancelMonoid.toAddRightCancelMonoid", "Eq.rec", "AddZeroClass.toAddZero", "DyckWord", "instAddCancelMonoidDyckWord", "instZeroDyckWord", "And.casesOn", "AddZero.toZero", "i...
false
_private.Mathlib.Data.Finset.Insert.0.Finset.singleton_subset_set_iff._proof_1_1
Mathlib.Data.Finset.Insert
[ "Lean.Grind.of_eq_eq_true", "Lean.Grind.eq_false_of_not_eq_true", "Finset.mem_singleton", "False", "Lean.Grind.not_not", "eq_false", "Lean.Grind.iff_eq", "Set.subset_def", "congrArg", "Finset", "Classical.byContradiction", "Lean.Grind.eq_false_of_imp_eq_true", "Membership.mem", "Exists", ...
false
mem_asymptoticCone_iff
Mathlib.Topology.Algebra.AsymptoticCone
[ "AddCommGroup.toAddCommMonoid", "LinearOrder", "Iff.rfl", "AddCommGroup.toAddGroup", "Membership.mem", "AddCommGroup", "Field.toSemifield", "Filter.Frequently", "TopologicalSpace", "Iff", "asymptoticCone", "Semifield.toDivisionSemiring", "AddTorsor", "DivisionSemiring.toSemiring", "Modul...
true
indiscreteTopology_iff_forall_norm_eq_zero'
Mathlib.Analysis.Normed.Group.Basic
[ "Norm.norm", "not_exists._simp_1", "Real", "Real.instZero", "congrArg", "SeminormedGroup", "PseudoMetricSpace.toUniformSpace", "SeminormedGroup.toPseudoMetricSpace", "Exists", "Eq.mp", "Iff.not", "Ne", "Decidable.not_not._simp_1", "IndiscreteTopology", "Iff", "SeminormedGroup.toNorm", ...
true
SimpleGraph.Subgraph.deleteEdges_coe_eq
Mathlib.Combinatorics.SimpleGraph.Subgraph
[ "SimpleGraph.deleteEdges", "Eq.mpr", "Sym2.Rel", "Sym2.map", "Sym2.mk", "congrArg", "SimpleGraph.Subgraph", "HEq.refl", "Mathlib.Tactic.Contrapose.contrapose₃", "SimpleGraph.Adj", "Sym2.Rel.casesOn", "SimpleGraph.Subgraph.deleteEdges", "Subtype.casesOn", "SimpleGraph.Subgraph.coe_adj", "...
true
ContinuousAffineEquiv.trans_apply
Mathlib.Topology.Algebra.ContinuousAffineEquiv
[ "AddCommGroup.toAddCommMonoid", "ContinuousAffineEquiv.instFunLike", "AddCommGroup.toAddGroup", "ContinuousAffineEquiv.trans", "AddCommGroup", "ContinuousAffineEquiv", "TopologicalSpace", "AddTorsor", "Module", "Ring.toSemiring", "Eq", "DFunLike.coe", "Ring", "rfl" ]
true
CliffordAlgebra.EvenHom.rec
Mathlib.LinearAlgebra.CliffordAlgebra.Even
[ "CommRing", "instHSMul", "Semiring.toModule", "HMul.hMul", "CliffordAlgebra.EvenHom", "Algebra.algebraMap", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "QuadraticForm", "LinearMap.instFunLike", "Algebra", "RingHom", "Algebra.toSMul", "AddCommGroup", "Algebra.toModule", "...
false
MeasureTheory.SignedMeasure.toMeasureOfZeroLE'.eq_1
Mathlib.MeasureTheory.VectorMeasure.Basic
[ "Real.partialOrder", "Real", "ENNReal.ofNNReal", "MeasurableSet", "PartialOrder.toPreorder", "PseudoMetricSpace.toUniformSpace", "Preorder.toLE", "MeasureTheory.SignedMeasure", "MeasureTheory.VectorMeasure.instFunLikeSet", "NNReal.mk", "LE.le", "MeasurableSpace", "MeasureTheory.SignedMeasure...
true
CategoryTheory.Limits.hasLimit_of_equalizer_and_product
Mathlib.CategoryTheory.Limits.Constructions.LimitsOfProductsAndEqualizers
[ "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Discrete.functor", "CategoryTheory.Limits.HasLimit", "CategoryTheory.Limits.HasEqualizers", "CategoryTheory.SmallCategory", "Sigma.fst", "Prod.fst", "CategoryTheory.discreteCategory", "CategoryTheor...
true
_private.Mathlib.Lean.Meta.RefinedDiscrTree.Encode.0.Lean.Meta.RefinedDiscrTree.encodingStepAux._sparseCasesOn_5
Mathlib.Lean.Meta.RefinedDiscrTree.Encode
[ "Nat.ne_of_beq_eq_false", "Lean.Expr.const", "Lean.Expr.letE", "Lean.Expr.mvar", "Nat.shiftRight", "Lean.MVarId", "Lean.Expr", "Lean.FVarId", "Nat.hasNotBit", "instOfNatNat", "Lean.Expr.sort", "Lean.Expr.bvar", "Lean.Level", "Lean.Literal", "Lean.Expr.mdata", "Lean.Expr.fvar", "Lean....
false
_private.Mathlib.Tactic.SplitIfs.0.Mathlib.Tactic.SplitPosition.target.elim
Mathlib.Tactic.SplitIfs
[ "_private.Mathlib.Tactic.SplitIfs.0.Mathlib.Tactic.SplitPosition", "PULift.up", "_private.Mathlib.Tactic.SplitIfs.0.Mathlib.Tactic.SplitPosition.ctorIdx", "_private.Mathlib.Tactic.SplitIfs.0.Mathlib.Tactic.SplitPosition.target", "Nat", "Eq.symm", "Eq", "_private.Mathlib.Tactic.SplitIfs.0.Mathlib.Tacti...
false
LipschitzOnWith.absolutelyContinuousOnInterval
Mathlib.MeasureTheory.Function.AbsolutelyContinuous
[ "Real.instIsOrderedRing", "Mathlib.Tactic.FieldSimp.zpow'_one", "Mathlib.Tactic.Ring.Common.neg_zero", "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₁", "Eq.mpr", "Finset.mul_sum", "GroupWithZero.toMonoidWithZero", "NegZeroClass.toNeg", "NonAssocSemiring.toAddCommMonoidWithOne", "Mathlib.Tactic.Ring.Com...
true
_private.Std.Time.Internal.Bounded.0.Std.Time.Internal.Bounded.LE.succ._proof_3
Std.Time.Internal.Bounded
[ "False", "Lean.Omega.Constraint.not_sat'_of_isImpossible", "of_decide_eq_true", "le_of_le_of_eq", "Lean.Omega.Constraint.mk", "Lean.Omega.Constraint.combine_sat'", "Int.add_one_le_of_lt", "HSub.hSub", "Lean.Omega.Int.add_congr", "Lean.Omega.LinearCombo.eval", "Option.some", "id", "instDecida...
false
Metric.isBounded_iff_nndist
Mathlib.Topology.MetricSpace.Pseudo.Defs
[ "NNDist.nndist", "Real.instLE", "Real", "_private.Mathlib.Topology.MetricSpace.Pseudo.Defs.0.Metric.isBounded_iff_nndist._simp_1_2", "PseudoMetricSpace.toBornology", "Real.instZero", "Iff.of_eq", "congrArg", "PartialOrder.toPreorder", "PseudoMetricSpace.toNNDist", "Preorder.toLE", "Membership....
true
Lean.Order.CompleteLattice.mk.noConfusion
Init.Internal.Order.Basic
[ "Lean.Order.CompleteLattice.noConfusion", "Exists", "id", "Lean.Order.CompleteLattice", "heq_of_eq", "Lean.Order.PartialOrder", "Eq.refl", "HEq", "Eq", "Lean.Order.CompleteLattice.mk", "Lean.Order.is_sup" ]
false
_private.Mathlib.AlgebraicGeometry.EllipticCurve.Affine.AddSubMap.0.WeierstrassCurve.addSubMapCoeff._proof_15
Mathlib.AlgebraicGeometry.EllipticCurve.Affine.AddSubMap
[ "Nat.instAtLeastTwoHAddOfNat", "instOfNatNat", "instHAdd", "HAdd.hAdd", "Nat.instNeZeroSucc", "Nat", "instAddNat", "OfNat.ofNat", "Nat.AtLeastTwo" ]
false
Qq.Impl.PatVarDecl.mk._flat_ctor
Qq.MatchImpl
[ "Qq.Impl.PatVarDecl", "Lean.Expr.const", "Lean.FVarId", "Qq.Impl.PatVarDecl.mk", "Lean.Level", "Qq.Quoted", "Lean.Name.mkStr2", "Lean.Name", "List.nil", "Option" ]
false