name
string
module
string
deps
list
allowCompletion
bool
ContinuousMap.Homotopy.extend_one
Mathlib.Topology.Homotopy.Basic
[ "Real", "Real.instZero", "Real.instZeroLEOneClass", "instReflLe", "congrArg", "and_self", "ContinuousMap", "PseudoMetricSpace.toUniformSpace", "Preorder.toLE", "Std.le_refl._simp_1", "ContinuousMap.Homotopy.curry", "Membership.mem", "Set.Elem", "zero_le_one._simp_1", "LE.le", "Subtype....
true
_private.Lean.PrettyPrinter.Delaborator.TopDownAnalyze.0.Lean.PrettyPrinter.Delaborator.isType2Type._sparseCasesOn_2
Lean.PrettyPrinter.Delaborator.TopDownAnalyze
[ "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
MeasureTheory.exists_subordinate_pairwise_disjoint
Mathlib.MeasureTheory.Measure.NullMeasurable
[ "MeasureTheory.ae", "MeasurableSet.diff", "MeasureTheory.Measure", "MeasureTheory.sdiff_null_ae_eq_self", "Filter.EventuallyEq.trans", "Set.sdiff_subset_sdiff_left", "ChainCompletePartialOrder.instOfCompleteLattice", "MeasurableSet", "Function.onFun", "CompleteBooleanAlgebra.toCompleteDistribLatti...
true
Rat.instNormedField
Mathlib.Analysis.Normed.Field.Lemmas
[ "NormedAddCommGroup.toMetricSpace", "NormedAddCommGroup.dist_eq", "Rat", "NormedField", "Rat.instNormedField._proof_1", "Rat.instField", "NormedAddCommGroup.toNorm", "NormedField.mk", "Rat.instNormedAddCommGroup", "Field", "NormedAddCommGroup" ]
true
RightCancelMonoid.Nat.card_submonoidPowers
Mathlib.GroupTheory.OrderOfElement
[ "Iff.mpr", "Eq.mpr", "Fintype.card_fin", "Monoid.toMulOneClass", "congrArg", "Nat.card_eq_zero_of_infinite", "Classical.propDecidable", "Membership.mem", "Set.Elem", "Fintype.card", "id", "Subtype", "Nat.card", "RightCancelMonoid.infinite_powers", "instOfNatNat", "finEquivPowers", "R...
true
SimplexCategory.toTopHomeo_symm_naturality_apply
Mathlib.AlgebraicTopology.SimplicialSet.TopAdj
[ "Real.instIsOrderedRing", "Real.partialOrder", "Real", "SimplexCategory.toTopHomeo_symm_naturality", "Opposite", "SimplexCategory.instFintypeToTypeOrderHomFinHAddNatLenOfNat", "Pi.topologicalSpace", "CategoryTheory.CategoryStruct.toQuiver", "SSet.toTop", "Quiver.Hom", "stdSimplex.map", "Catego...
true
sqrt_one_add_norm_sq_le
Mathlib.Analysis.SpecialFunctions.JapaneseBracket
[ "one_pow", "Real.instIsOrderedRing", "Norm.norm", "Eq.mpr", "NonAssocSemiring.toAddCommMonoidWithOne", "MulOne.toOne", "mul_nonneg_iff_of_pos_left._simp_1", "Real.partialOrder", "Real.instLE", "Real", "Preorder.toLT", "HMul.hMul", "AddLeftCancelSemigroup.toIsLeftCancelAdd", "Nat.ble", "R...
true
_private.Mathlib.Algebra.Lie.Ideal.0.LieIdeal.comap._simp_2
Mathlib.Algebra.Lie.Ideal
[ "AddSubsemigroup.instSetLike", "Membership.mem", "AddZeroClass.toAddZero", "AddSubmonoid.toAddSubsemigroup", "AddSubmonoid", "AddZeroClass", "AddSubsemigroup", "propext", "AddZero.toAdd", "AddSubmonoid.instSetLike", "Eq", "SetLike.instMembership", "AddSubmonoid.mem_toSubsemigroup" ]
false
Mul.recOn
Init.Prelude
[ "Mul.mk", "Mul", "Mul.rec" ]
false
SubmoduleClass.module'._proof_2
Mathlib.Algebra.Module.Submodule.Defs
[ "SetLike", "MulOne.toOne", "instHSMul", "Monoid.toMulOneClass", "congrArg", "DistribMulAction.toDistribSMul", "IsScalarTower", "SMul", "AddMonoid.toAddZeroClass", "SMulMemClass", "Membership.mem", "AddZeroClass.toAddZero", "Subtype", "DistribSMul.toSMulZeroClass", "AddCommMonoid", "one...
false
instAddUInt32
Init.Data.UInt.BasicAux
[ "Add.mk", "UInt32", "UInt32.add", "Add" ]
true
IsOpen.convexHull
Mathlib.Analysis.Convex.Topology
[ "Eq.mpr", "ChainCompletePartialOrder.instOfCompleteLattice", "congrArg", "_private.Mathlib.Analysis.Convex.Topology.0.IsOpen.convexHull._simp_1_1", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "AddMonoid.toAddZeroClass", "PartialOrder.toPreorder", "AddGroupWithOne.toAddMonoidWit...
true
_private.Mathlib.Algebra.Group.Subgroup.Basic.0.Subgroup.normal_iff_map_conj_eq._simp_1_1
Mathlib.Algebra.Group.Subgroup.Basic
[ "Group", "Subgroup", "Subgroup.normalizer", "SetLike.coe", "Subgroup.normalizer_eq_top_iff", "propext", "Subgroup.instTop", "Top.top", "Eq.symm", "Eq", "Subgroup.instSetLike", "Subgroup.Normal" ]
false
CategoryTheory.GrothendieckTopology.Point.over
Mathlib.CategoryTheory.Sites.Point.Over
[ "CategoryTheory.Over", "CategoryTheory.LocallySmall", "CategoryTheory.GrothendieckTopology.Point", "CategoryTheory.FunctorToTypes.fromOverFunctor", "CategoryTheory.GrothendieckTopology.Point.mk", "CategoryTheory.instCategoryOver", "CategoryTheory.GrothendieckTopology", "CategoryTheory.GrothendieckTopo...
true
_private.Mathlib.NumberTheory.Divisors.0.Nat.pairwise_divisorsAntidiagonalList_snd._simp_1_4
Mathlib.NumberTheory.Divisors
[ "Prod.mk", "propext", "Prod.forall", "Prod", "Eq" ]
false
CategoryTheory.GrothendieckTopology.Point.skyscraperSheafAdjunction_homEquiv_apply_val
Mathlib.CategoryTheory.Sites.Point.Skyscraper
[ "CategoryTheory.Functor", "Opposite", "Equiv.instEquivLike", "CategoryTheory.GrothendieckTopology.Point.skyscraperSheafFunctor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.GrothendieckTopology.Point", "CategoryTheory.Limits.HasProducts", "CategoryTheory.GrothendieckTopol...
true
_private.Mathlib.AlgebraicGeometry.Morphisms.QuasiCompact.0.AlgebraicGeometry.instHasAffinePropertyQuasiCompactCompactSpaceCarrierCarrierCommRingCat._simp_2
Mathlib.AlgebraicGeometry.Morphisms.QuasiCompact
[ "isCompact_iff_compactSpace", "Membership.mem", "Set.Elem", "CompactSpace", "TopologicalSpace", "propext", "instTopologicalSpaceSubtype", "Eq", "Set.instMembership", "IsCompact", "Set" ]
false
div_right_injective
Mathlib.Algebra.Group.Basic
[ "Eq.mpr", "DivInvMonoid.toInv", "instHDiv", "HMul.hMul", "Monoid.toMulOneClass", "congrArg", "CancelMonoid.toLeftCancelMonoid", "InvolutiveInv.toInv", "Group", "Group.toDivisionMonoid", "LeftCancelSemigroup.toIsLeftCancelMul", "LeftCancelMonoid.toLeftCancelSemigroup", "id", "MulOne.toMul",...
true
_private.Init.Data.Nat.Bitwise.Lemmas.0.Nat.testBit_two_pow._proof_1_3
Init.Data.Nat.Bitwise.Lemmas
[ "Nat.lt_of_not_le", "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",...
false
Prod.mk_le_mk._simp_1
Mathlib.Order.Basic
[ "Prod.instLE_mathlib", "Prod.mk", "LE.le", "LE", "And", "propext", "Prod", "Prod.mk_le_mk", "Eq" ]
false
_private.Mathlib.GroupTheory.SpecificGroups.Alternating.MaximalSubgroups.0.alternatingGroup.exists_mem_stabilizer_smul_eq._proof_1_3
Mathlib.GroupTheory.SpecificGroups.Alternating.MaximalSubgroups
[ "False", "Equiv.instEquivLike", "eq_false", "congrArg", "Classical.byContradiction", "Equiv.swap", "Function.comp", "Membership.mem", "Eq.mp", "id", "Equiv", "Equiv.swap_apply_def", "ite_cond_eq_true", "Lean.Grind.em", "Or.casesOn", "Equiv.Perm", "Lean.Grind.nestedDecidable", "True...
false
USize.lt_of_le_of_lt
Init.Data.UInt.Lemmas
[ "Eq.mpr", "instLEUSize", "Nat.lt_of_le_of_lt", "id", "_private.Init.Data.UInt.Lemmas.0.USize.lt_of_le_of_lt._simp_1_2", "LE.le", "instLENat", "USize.toNat", "implies_congr", "Nat", "LT.lt", "_private.Init.Data.UInt.Lemmas.0.USize.lt_of_le_of_lt._simp_1_1", "instLTUSize", "instLTNat", "Eq...
true
_private.Init.Data.UInt.Lemmas.0.UInt32.ofNat_mul._simp_1_1
Init.Data.UInt.Lemmas
[ "instPowNat", "UInt32.toNat", "UInt32.ofNat_eq_iff_mod_eq_toNat", "Nat.instMod", "instHMod", "UInt32.ofNat", "instOfNatNat", "instNatPowNat", "HMod.hMod", "HPow.hPow", "Nat", "propext", "UInt32", "instHPow", "OfNat.ofNat", "Eq" ]
false
Lean.FileMap.lineStart
Lean.Data.Position
[ "Lean.FileMap.positions", "Lean.FileMap", "HSub.hSub", "Option.getD", "instSubNat", "instOfNatNat", "String.Pos.Raw", "dite", "Array", "GetElem.getElem", "instHSub", "Array.back?", "Array.instGetElemNatLtSize", "Nat", "LT.lt", "Nat.decLt", "instLTNat", "String.instOfNatRaw", "OfN...
true
SimpleGraph.isNIndepSet_iff
Mathlib.Combinatorics.SimpleGraph.Clique
[ "SimpleGraph.IsIndepSet", "Finset", "And.casesOn", "SimpleGraph", "And", "Iff", "SimpleGraph.IsNIndepSet", "SetLike.coe", "Finset.instSetLike", "Nat", "And.intro", "Iff.intro", "SimpleGraph.IsNIndepSet.mk", "Finset.card", "Eq", "SimpleGraph.IsNIndepSet.casesOn" ]
true
_private.Mathlib.Order.Interval.Finset.Fin.0.Fin.finsetImage_natAdd_Icc._simp_1_1
Mathlib.Order.Interval.Finset.Fin
[ "Finset", "Finset.coe_inj", "SetLike.coe", "Finset.instSetLike", "propext", "Eq.symm", "Eq", "Set" ]
false
CategoryTheory.Functor.LaxMonoidal.μ_whiskerRight_comp_μ_assoc
Mathlib.CategoryTheory.Monoidal.Functor
[ "CategoryTheory.Category.assoc", "CategoryTheory.Functor", "CategoryTheory.MonoidalCategoryStruct.whiskerLeft", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.MonoidalCategory", "Eq.mp", "id", "Mathlib.Tactic.Reassoc.eq_whisker'", "CategoryTheory.Functor.map"...
true
Nat.gcd_sub_right_right_of_dvd
Init.Data.Nat.Gcd
[ "Nat.gcd", "Dvd.dvd", "HMul.hMul", "HSub.hSub", "instSubNat", "instMulNat", "LE.le", "instLENat", "instHSub", "Exists.casesOn", "Nat.instDvd", "Nat", "Eq.ndrec", "Nat.gcd_sub_mul_left_right", "Eq.symm", "Eq", "instHMul" ]
true
FundamentalGroupoid.instIsEmpty
Mathlib.AlgebraicTopology.FundamentalGroupoid.Basic
[ "FundamentalGroupoid.equiv", "IsEmpty", "Equiv.isEmpty", "FundamentalGroupoid" ]
true
CategoryTheory.monoidalCategoryMop._proof_11
Mathlib.CategoryTheory.Monoidal.Opposite
[ "CategoryTheory.MonoidalOpposite.mop", "CategoryTheory.MonoidalCategoryStruct.whiskerLeft", "CategoryTheory.MonoidalOpposite.unmop", "CategoryTheory.MonoidalCategory.whiskerLeftIso", "CategoryTheory.CategoryStruct.toQuiver", "CategoryTheory.MonoidalOpposite", "Quiver.Hom", "CategoryTheory.MonoidalCate...
false
ZSpan.fract_eq_self
Mathlib.Algebra.Module.ZLattice.Basic
[ "NormedCommRing.toNormedRing", "Finsupp.instFunLike", "Preorder.toLT", "Semiring.toModule", "NormedRing.toRing", "Finsupp.module", "NormedSpace", "congrArg", "AddCommGroup.toAddCommMonoid", "_private.Mathlib.Algebra.Module.ZLattice.Basic.0.ZSpan.fract_eq_self._simp_1_1", "Int.fract", "LinearOr...
true
signedDist_vadd_right_swap
Mathlib.Geometry.Euclidean.SignedDist
[ "Eq.mpr", "InnerProductSpace.toNormedSpace", "NegZeroClass.toNeg", "NormedCommRing.toSeminormedCommRing", "ContinuousAffineMap.instModuleOfSMulCommClassOfContinuousConstSMul", "SubtractionMonoid.toInvolutiveNeg", "Real", "Algebra.to_smulCommClass", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", ...
true
CategoryTheory.Lax.OplaxTrans.Hom._sizeOf_1
Mathlib.CategoryTheory.Bicategory.Modification.Lax
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Lax.OplaxTrans.instCategoryStructLaxFunctor", "instOfNatNat", "CategoryTheory.Bicategory", "instHAdd", "CategoryTheory.Lax.OplaxTrans.Hom.rec", "HAdd.hAdd", "Nat", "SizeOf.sizeOf", "CategoryTheory.Lax.OplaxTrans.Hom", "ins...
false
hasFDerivAt_inv
Mathlib.Analysis.Calculus.Deriv.Inv
[ "HasFDerivAt", "NormedCommRing.toNormedRing", "NegZeroClass.toNeg", "NormedCommRing.toSeminormedCommRing", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "Semiring.toModule", "NormedRing.toRing", "DivisionCommMonoid.toDivisionMonoid", "DivInvOneMonoid.toInvOneClass", "IsTopologicalRing.toIsTopol...
true
groupHomology.inhomogeneousChains.d._proof_4
Mathlib.RepresentationTheory.Homological.GroupHomology.Basic
[ "Finsupp.smulZeroClass", "Rep.V", "CommRing", "Finsupp.smulCommClass", "CommSemiring.toSemiring", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "Rep.hV2", "AddMonoid.toAddZeroClass", "Group", "Rep.hV1", "AddCommGroup.toAddGroup", "AddZeroClass.toAddZero", "DistribSMul.t...
false
DenselyOrdered.rec
Mathlib.Order.Basic
[ "Exists", "DenselyOrdered.mk", "And", "LT.lt", "DenselyOrdered", "LT" ]
false
instDecidableIsValidUTF8
Init.Data.String.Basic
[ "decidable_of_iff", "Decidable", "ByteArray.validateUTF8_eq_true_iff", "instDecidableEqBool", "Bool.true", "Bool", "ByteArray.validateUTF8", "ByteArray", "Eq", "ByteArray.IsValidUTF8" ]
true
Matroid.IsBasis'.eRk_eq_encard
Mathlib.Combinatorics.Matroid.Rank.ENat
[ "Eq.mpr", "Set.encard", "Matroid.Indep.eRk_eq_encard", "congrArg", "Matroid.IsBasis'", "id", "Matroid.IsBasis'.indep", "ENat", "Matroid.eRk", "Matroid.IsBasis'.eRk_eq_eRk", "Eq.refl", "Eq.symm", "Eq", "Matroid", "Set" ]
true
_private.Mathlib.Lean.Expr.Basic.0.Lean.Name.fromComponents.go._unsafe_rec
Mathlib.Lean.Expr.Basic
[ "_private.Mathlib.Lean.Expr.Basic.0.Lean.Name.fromComponents.go._unsafe_rec", "List", "Lean.Name.updatePrefix", "Lean.Name", "_private.Mathlib.Lean.Expr.Basic.0.Lean.Name.fromComponents.go.match_1" ]
false
Turing.ToPartrec.Cfg.ctorIdx
Mathlib.Computability.TuringMachine.Config
[ "Turing.ToPartrec.Cont", "List", "Turing.ToPartrec.Cfg", "Nat", "Turing.ToPartrec.Cfg.casesOn" ]
false
AddOpposite.coe_symm_opAddEquiv
Mathlib.Algebra.Group.Equiv.Opposite
[ "AddMonoid.toAddZeroClass", "AddZeroClass.toAddZero", "AddOpposite", "AddOpposite.instAdd", "AddCommMonoid", "AddOpposite.opAddEquiv", "AddEquiv", "AddZero.toAdd", "AddOpposite.unop", "AddCommMonoid.toAddMonoid", "AddEquiv.instEquivLike", "Eq", "DFunLike.coe", "rfl", "AddEquiv.symm", "...
true
LocalSubring.exists_le_valuationSubring
Mathlib.RingTheory.Valuation.LocalSubring
[ "Iff.mpr", "LocalSubring.isLocalRing", "SubmonoidClass.instIsDedekindFiniteMonoidSubtypeMem", "NonAssocSemiring.toAddCommMonoidWithOne", "_private.Mathlib.RingTheory.Valuation.LocalSubring.0.LocalSubring.exists_le_valuationSubring.match_1_1", "RingHom.instRingHomClass", "MulOne.toOne", "LocalSubring.m...
true
Nat.shiftLeft'._unsafe_rec
Mathlib.Data.Nat.Bits
[ "Nat.bit", "Nat.boddDiv2.match_3", "Unit", "Nat", "Bool", "Nat.shiftLeft'._unsafe_rec" ]
false
_private.Init.Data.SInt.Lemmas.0.Int64.lt_iff_le_and_ne._simp_1_2
Init.Data.SInt.Lemmas
[ "Int64.toInt", "Int64", "Int", "LE.le", "Int64.le_iff_toInt_le", "propext", "Eq", "instLEInt64", "Int.instLEInt" ]
false
AddMonCat.forget_createsLimit._proof_6
Mathlib.Algebra.Category.MonCat.Limits
[ "Eq.mpr", "CategoryTheory.Limits.Cone.π", "CategoryTheory.Functor", "Subtype.mk.congr_simp", "CategoryTheory.Limits.Cone", "AddMonCat.instConcreteCategoryAddMonoidHomCarrier", "AddMonoidHom.instAddMonoidHomClass", "Equiv.instEquivLike", "CategoryTheory.Limits.Types.Small.limitCone", "AddMonoid.toA...
false
Complex.tan
Mathlib.Analysis.Complex.Trigonometric
[ "instHDiv", "Complex.cos", "Complex.sin", "Complex.instDivInvMonoid", "HDiv.hDiv", "DivInvMonoid.toDiv", "Complex" ]
true
isMinOn_Iic_of_deriv
Mathlib.Analysis.Calculus.DerivativeTest
[ "Real.instIsOrderedRing", "IsOrderedModule.toPosSMulMono", "Real.partialOrder", "Real.instLE", "Real", "Set.Ioi", "Preorder.toLT", "convex_Iic", "Semiring.toModule", "Set.nonempty_Ioi._simp_1", "MulZeroClass.toMul", "Real.denselyNormedField", "instNoMaxOrderOfNontrivial", "Real.instZero", ...
true
Mathlib.Tactic.BicategoryLike.AtomIso.mk.sizeOf_spec
Mathlib.Tactic.CategoryTheory.Coherence.Datatypes
[ "Mathlib.Tactic.BicategoryLike.Mor₁._sizeOf_inst", "Lean.Expr", "instOfNatNat", "Mathlib.Tactic.BicategoryLike.Mor₁", "instHAdd", "Mathlib.Tactic.BicategoryLike.AtomIso.mk", "HAdd.hAdd", "Mathlib.Tactic.BicategoryLike.AtomIso", "Nat", "SizeOf.sizeOf", "instAddNat", "Eq.refl", "Mathlib.Tactic...
true
CategoryTheory.Bicategory.RightLift.mk
Mathlib.CategoryTheory.Bicategory.Extension
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Bicategory.toCategoryStruct", "CategoryTheory.Bicategory.postcomp", "CategoryTheory.Bicategory", "CategoryTheory.CategoryStruct.comp", "CategoryTheory.Bicategory.RightLift", "CategoryTheory.CostructuredArrow.mk", "CategoryTheory...
true
Submodule.mem_adjoint_iff
Mathlib.Analysis.InnerProductSpace.LinearPMap
[ "NormedCommRing.toNormedRing", "WithLp", "Eq.mpr", "InnerProductSpace.toNormedSpace", "NegZeroClass.toNeg", "Submodule", "LinearEquiv.skewSwap", "LinearEquiv.symm", "WithLp.instProdNormedAddCommGroup", "fact_one_le_two_ennreal", "NormedRing.toRing", "_private.Mathlib.Analysis.InnerProductSpace...
true
ContinuousLinearMap.opNorm_linearIsometryEquiv_comp
Mathlib.Analysis.Normed.Operator.NormedSpace
[ "ContinuousLinearMap.comp", "Norm.norm", "Real", "NormedSpace", "congrArg", "AddCommGroup.toAddCommMonoid", "SeminormedAddGroup.toNNNorm", "NNNorm.nnnorm", "NormedSpace.toModule", "PseudoMetricSpace.toUniformSpace", "RingHom", "RingHomIsometric", "NormedField.toField", "RingHomCompTriple",...
true
CategoryTheory.Functor.pointwiseLeftKanExtensionCompIsoOfPreserves_fac_app
Mathlib.CategoryTheory.Functor.KanExtension.Preserves
[ "CategoryTheory.Functor.hasPointwiseLeftKanExtension_of_preserves", "CategoryTheory.Functor", "CategoryTheory.Functor.pointwiseLeftKanExtensionUnit", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.Functor.category", "CategoryTheory.Functor.comp", "CategoryTheory....
true
_private.Mathlib.AlgebraicGeometry.ProjectiveSpectrum.Scheme.0.AlgebraicGeometry.termProj
Mathlib.AlgebraicGeometry.ProjectiveSpectrum.Scheme
[ "Lean.Name.mkNum", "Lean.Name.mkStr", "instOfNatNat", "Lean.Name.anonymous", "Lean.ParserDescr", "Lean.ParserDescr.node", "Nat", "Lean.ParserDescr.symbol", "OfNat.ofNat" ]
true
DeltaGenerated.instLargeCategory._aux_5
Mathlib.Topology.Category.DeltaGenerated
[ "Quiver.mk", "Quiver.Hom", "TopCat.instCategory", "DeltaGenerated.instLargeCategory._aux_1", "CategoryTheory.InducedCategory.Hom", "CategoryTheory.InducedCategory", "DeltaGenerated", "CategoryTheory.CategoryStruct.comp", "CategoryTheory.InducedCategory.Hom.mk", "CategoryTheory.Category.toCategoryS...
false
_private.Mathlib.Data.Fin.SuccPred.0.Fin.succAbove_succAbove_succAbove_predAbove._proof_1_12
Mathlib.Data.Fin.SuccPred
[ "Lean.RArray.leaf", "False", "Lean.Grind.not_false", "of_decide_eq_true", "Lean.Grind.ToInt.toInt", "congrArg", "Int.Linear.le_norm_expr", "Int.Linear.le_unsat", "Classical.byContradiction", "HSub.hSub", "Nat.not_le_eq", "Nat.ToInt.add_congr", "Lean.Grind.Nat.lt_eq", "Eq.mp", "Lean.RArra...
false
_private.Mathlib.AlgebraicGeometry.EllipticCurve.Affine.Basic.0.tacticEval_simp
Mathlib.AlgebraicGeometry.EllipticCurve.Affine.Basic
[ "Lean.Name.mkNum", "Lean.ParserDescr.nonReservedSymbol", "Lean.Name.mkStr", "instOfNatNat", "Lean.Name.anonymous", "Lean.ParserDescr", "Lean.ParserDescr.node", "Nat", "OfNat.ofNat", "Bool.false" ]
true
Finset.sup_eq_bot_of_isEmpty
Mathlib.Data.Finset.Lattice.Fold
[ "Eq.mpr", "congrArg", "Finset", "False.elim", "OrderBot.toBot", "PartialOrder.toPreorder", "Preorder.toLE", "OrderBot", "Membership.mem", "id", "Bot.bot", "IsEmpty", "Finset.instSetLike", "propext", "Finset.sup", "SemilatticeSup.toPartialOrder", "IsEmpty.false", "Eq", "Semilattic...
true
QuasiconcaveOn.convex_gt
Mathlib.Analysis.Convex.Quasiconvex
[ "OrderDual.toDual", "QuasiconvexOn.convex_lt", "Preorder.toLT", "Equiv.instEquivLike", "LinearOrder", "SMul", "PartialOrder.toPreorder", "setOf", "Preorder.toLE", "Function.comp", "Membership.mem", "SemilatticeInf.toPartialOrder", "PartialOrder", "DistribLattice.toLattice", "Equiv", "A...
true
Nat.prod_divisors_prime_pow
Mathlib.NumberTheory.Divisors
[ "Nat.divisors_prime_pow", "Nat.Prime", "congrArg", "Finset", "Nat.instMonoid", "Finset.map", "Membership.mem", "Function.Embedding.mk", "instOfNatNat", "Finset.prod_congr", "Function.Embedding", "Finset.prod", "Monoid.toPow", "Finset.range", "Nat.divisors", "instHAdd", "HPow.hPow", ...
true
IsPrimitiveRoot.idealQuotient_mk
Mathlib.NumberTheory.NumberField.Ideal.Basic
[ "Iff.mpr", "Units.val", "Nat.Coprime", "Nat.instMulZeroOneClass", "MonoidHom.instMonoidHomClass", "IsPrimitiveRoot.toRootsOfUnity", "Nat.instMulZeroClass", "MonoidHom.instFunLike", "Ideal.absNorm", "MonoidHom", "NumberField.instCommRingRingOfIntegers", "Monoid.toMulOneClass", "CommSemiring.t...
true
Stream'.WSeq.ofList_cons
Mathlib.Data.WSeq.Basic
[ "Stream'.Seq", "Stream'.Seq.ofList_cons", "congrArg", "Stream'.WSeq.ofList", "Stream'.WSeq.cons", "Stream'.Seq.ofList", "Stream'.Seq.map_cons", "Option.some", "Stream'.Seq.map", "List.cons", "List", "Stream'.Seq.cons", "True", "eq_self", "Stream'.WSeq", "of_eq_true", "congrFun'", "...
true
_private.Mathlib.NumberTheory.Divisors.0.Int.mul_mem_zero_one_two_three_four_iff._simp_1_1
Mathlib.NumberTheory.Divisors
[ "Int.divisorsAntidiag", "HMul.hMul", "Finset", "Int.prodMk_mem_divisorsAntidiag", "Membership.mem", "Prod.mk", "Ne", "Int", "Int.instMul", "instOfNat", "Finset.instSetLike", "propext", "Prod", "OfNat.ofNat", "Eq.symm", "Eq", "SetLike.instMembership", "instHMul" ]
false
_private.Mathlib.Analysis.SpecialFunctions.ContinuousFunctionalCalculus.Rpow.Basic.0.IsStrictlyPositive.sqrt._proof_1_8
Mathlib.Analysis.SpecialFunctions.ContinuousFunctionalCalculus.Rpow.Basic
[ "_private.Mathlib.Analysis.SpecialFunctions.ContinuousFunctionalCalculus.Rpow.Basic.0.IsStrictlyPositive.sqrt._proof_1_3", "IsSelfAdjoint", "Real", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "instStarRingReal", "Lean.Grind.nestedProof", "Ring.toNonAssocRing", "IsTopologicalRing.toIsTopologicalSe...
false
_private.Mathlib.AlgebraicGeometry.EllipticCurve.Affine.AddSubMap.0.WeierstrassCurve.addSubMapCoeff._proof_13
Mathlib.AlgebraicGeometry.EllipticCurve.Affine.AddSubMap
[ "Nat.instAtLeastTwoHAddOfNat", "instOfNatNat", "instHAdd", "HAdd.hAdd", "Nat.instNeZeroSucc", "Nat", "instAddNat", "OfNat.ofNat", "Nat.AtLeastTwo" ]
false
CompareReals.compareEquiv
Mathlib.Topology.UniformSpace.CompareReals
[ "AbstractCompletion.compareEquiv", "Real", "CompareReals.Q", "CompareReals.Bourbakiℝ", "PseudoMetricSpace.toUniformSpace", "CompareReals.bourbakiPkg", "CompareReals.Bourbaki.uniformSpace", "Real.pseudoMetricSpace", "CompareReals.uniformSpace", "rationalCauSeqPkg", "UniformEquiv" ]
true
Equiv.semilatticeInf
Mathlib.Order.Lattice
[ "Preorder.toLT", "Equiv.instEquivLike", "PartialOrder.toPreorder", "Preorder.toLE", "SemilatticeInf.toPartialOrder", "Equiv.semilatticeInf._proof_2", "PartialOrder", "Equiv.min", "Equiv", "SemilatticeInf.toMin", "Min", "Function.Injective.semilatticeInf", "SemilatticeInf", "Equiv.partialOr...
true
StrictMonoOn.add
Mathlib.Algebra.Order.Monoid.Unbundled.Basic
[ "Preorder.toLT", "AddRightStrictMono", "Membership.mem", "instHAdd", "AddLeftStrictMono", "add_lt_add_of_lt_of_lt", "HAdd.hAdd", "LT.lt", "StrictMonoOn", "Set.instMembership", "Add", "Preorder", "Set" ]
true
Lean.Options.getInPattern
Lean.Data.Options
[ "Lean.KVMap.instValueBool", "Lean.Options.get", "Bool", "Bool.false", "Lean.Options", "Lean.Name.mkStr1" ]
true
Submodule.mem_span_set
Mathlib.LinearAlgebra.Finsupp.LinearCombination
[ "Eq.mpr", "Submodule", "instHSMul", "congrArg", "DistribMulAction.toDistribSMul", "Finset", "AddMonoid.toAddZeroClass", "Finsupp.sum", "Finsupp.support", "Membership.mem", "Exists", "Eq.rec", "AddZeroClass.toAddZero", "id", "DistribSMul.toSMulZeroClass", "HasSubset.Subset", "AddCommM...
true
_private.Init.Data.Int.Gcd.0.Int.lcm_mul_right_dvd_mul_lcm._simp_1_1
Init.Data.Int.Gcd
[ "Nat.lcm", "Dvd.dvd", "HMul.hMul", "instMulNat", "Nat.lcm_mul_right_dvd_mul_lcm", "Nat.instDvd", "Nat", "True", "eq_true", "Eq", "instHMul" ]
false
MulOpposite.instCancelCommMonoid.eq_1
Mathlib.Algebra.Group.Opposite
[ "CancelCommMonoid.toCommMonoid", "CancelCommMonoid.mk", "MulOpposite", "Eq.refl", "MulOpposite.instCancelCommMonoid._proof_1", "MulOpposite.instCancelCommMonoid", "Eq", "MulOpposite.instCommMonoid", "CancelCommMonoid" ]
true
StandardEtalePair.instEtaleRing
Mathlib.RingTheory.Etale.StandardEtale
[ "Polynomial.C", "Algebra.Etale.inst", "Polynomial.instOne", "CommRing", "Semiring.toModule", "HMul.hMul", "Algebra.Etale.mk", "congrArg", "CommSemiring.toSemiring", "Algebra.FormallyEtale", "Polynomial.X_mul_C", "Polynomial.algebraOfAlgebra", "HSub.hSub", "StandardEtalePair.f", "RingHom"...
true
CategoryTheory.Equivalence.counitInv.eq_1
Mathlib.CategoryTheory.Equivalence
[ "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Functor.category", "CategoryTheory.Equivalence", "CategoryTheory.Functor.comp", "CategoryTheory.Functor.id", "CategoryTheory.Equivalence.counitInv", "CategoryTheory.Equivalence.functor", "Eq.refl", ...
true
MulSemiringActionHom.map_mul'
Mathlib.GroupTheory.GroupAction.Hom
[ "DistribMulActionHom.toMulActionHom", "Monoid", "NonAssocSemiring.toAddCommMonoidWithOne", "MonoidHom.instFunLike", "HMul.hMul", "MonoidHom", "Monoid.toMulOneClass", "DistribMulAction.toDistribSMul", "AddMonoid.toAddZeroClass", "AddZeroClass.toAddZero", "MulOne.toMul", "DistribSMul.toSMulZeroC...
true
AdicCompletion.AdicCauchySequence.instAddCommGroup._proof_4
Mathlib.RingTheory.AdicCompletion.Basic
[ "CommRing", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "AddCommGroup", "Ideal", "CommRing.toCommSemiring", "Nat", "AdicCompletion.AdicCauchySequence.instNeg", "AdicCompletion.IsAdicCauchy", "Module", "Subtype.val", "Eq", "AdicCompletion.AdicCauchySequence", "Neg.neg", "rf...
false
TrivSqZeroExt.isNilpotent_inr
Mathlib.RingTheory.DualNumber
[ "TrivSqZeroExt.inr", "TrivSqZeroExt.instPowNatOfDistribMulActionMulOpposite", "TrivSqZeroExt", "HMul.hMul", "pow_two", "Monoid.toMulOneClass", "congrArg", "DistribMulAction.toDistribSMul", "AddMonoid.toAddZeroClass", "MulOpposite", "AddZeroClass.toAddZero", "TrivSqZeroExt.inr_mul_inr", "MulO...
true
WithCStarModule.instNormedAddCommGroupProd._proof_18
Mathlib.Analysis.CStarAlgebra.Module.Constructions
[ "instUniformSpaceProd", "Equiv.instEquivLike", "uniformity", "PseudoMetricSpace.toUniformSpace", "nhds", "Equiv", "Prod.mk", "Prod.fst", "WithCStarModule", "SeminormedAddCommGroup.toPseudoMetricSpace", "TopologicalSpace.induced", "WithCStarModule.equiv", "Prod", "NormedAddCommGroup.toSemin...
false
_private.Lean.Meta.Sym.Offset.0.Lean.Meta.Sym.toOffset._sparseCasesOn_1
Lean.Meta.Sym.Offset
[ "Nat.ne_of_beq_eq_false", "Option.ctorIdx", "Nat.shiftRight", "Option.some", "Nat.hasNotBit", "Option.rec", "instOfNatNat", "Nat.land", "Option.none", "Nat", "Bool", "Eq.refl", "OfNat.ofNat", "Bool.false", "Option" ]
false
_private.Init.Data.String.Lemmas.Order.0.String.Slice.Pos.ofSliceFrom_ne_startPos._simp_1_1
Init.Data.String.Lemmas.Order
[ "String.Slice", "Ne", "String.Slice.startPos", "String.Slice.Pos.startPos_lt_iff", "LT.lt", "String.instLTPos_1", "propext", "String.Slice.Pos", "Eq.symm", "Eq" ]
false
Summable.tsum_of_nat_of_neg
Mathlib.Topology.Algebra.InfiniteSum.NatInt
[ "AddCommGroup.toAddCommMonoid", "AddMonoid.toAddZeroClass", "HSub.hSub", "AddCommGroup.toAddGroup", "AddZeroClass.toAddZero", "AddCommGroup", "Int.instNegInt", "Int", "HasSum.of_nat_of_neg", "Nat.cast", "SummationFilter.instNeBotUnconditional", "SubNegMonoid.toSub", "TopologicalSpace", "in...
true
Lean.Elab.Command.CtorView.modifiers
Lean.Elab.MutualInductive
[ "Lean.Elab.Command.CtorView", "Lean.Elab.Modifiers" ]
true
_private.Init.Data.String.Lemmas.Pattern.Char.0.String.Slice.Pattern.Model.Char.revMatchAt?_eq._simp_1_1
Init.Data.String.Lemmas.Pattern.Char
[ "String.Slice.Pos.prev", "String.Slice", "Exists", "Ne", "String.Slice.startPos", "And", "String.Slice.Pattern.Model.Char.instPatternModelChar", "propext", "String.Slice.Pattern.Model.Char.isLongestRevMatchAt_iff._proof_1", "String.Slice.Pos.get", "String.Slice.Pos", "Char", "String.Slice.Pa...
false
Algebra.IsAlgebraic.mk._flat_ctor
Mathlib.RingTheory.Algebraic.Defs
[ "CommRing", "IsAlgebraic", "Algebra", "Algebra.IsAlgebraic", "Algebra.IsAlgebraic.mk", "CommRing.toCommSemiring", "Ring.toSemiring", "Ring" ]
false
CategoryTheory.Functor.LaxMonoidal.ofBifunctor.bottomMapᵣ
Mathlib.CategoryTheory.Monoidal.Multifunctor
[ "CategoryTheory.Functor.flip", "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.MonoidalCategory", "CategoryTheory.Functor.category", "CategoryTheory.Functor.comp", "CategoryTheory.Functor.id", "CategoryTheory.MonoidalCategory.rightUnitorNatIso", "C...
true
_private.Mathlib.Algebra.MvPolynomial.SchwartzZippel.0.MvPolynomial.schwartz_zippel_sup_sum._simp_1_5
Mathlib.Algebra.MvPolynomial.SchwartzZippel
[ "And", "and_and_and_comm", "propext", "Eq" ]
false
NonUnitalStarAlgHom.mk
Mathlib.Algebra.Star.StarAlgHom
[ "DistribMulActionHom.toMulActionHom", "Monoid", "MonoidHom.instFunLike", "MonoidHom", "Monoid.toMulOneClass", "DistribMulAction.toDistribSMul", "AddMonoid.toAddZeroClass", "AddZeroClass.toAddZero", "NonUnitalAlgHom.toDistribMulActionHom", "DistribSMul.toSMulZeroClass", "NonUnitalAlgHom", "MulA...
true
SSet.prodStdSimplex.pairingCore.IsType₂.simplex.congr_simp
Mathlib.AlgebraicTopology.SimplicialSet.AnodyneExtensions.UnionProd
[ "Opposite", "CategoryTheory.typesCartesianMonoidalCategory", "SSet.prodStdSimplex.pairingCore.IsType₂", "CategoryTheory.Functor.category", "Eq.rec", "SSet.Subcomplex.N", "SSet.Subcomplex.unionProd", "instOfNatNat", "CategoryTheory.Monoidal.functorCategoryMonoidalStruct", "SSet", "CategoryTheory....
true
Subarray.mkSlice_roi_eq_mkSlice_rco
Init.Data.Slice.Array.Lemmas
[ "Std.Rci.mk", "Std.Rco.Sliceable.mkSlice", "Subarray", "instSliceableSubarrayNat_5", "congrArg", "instSliceableSubarrayNat_2", "instOfNatNat", "Std.Roi.mk", "instHAdd", "Std.Rci.Sliceable.mkSlice", "HAdd.hAdd", "Std.Slice.Internal.SubarrayData", "Nat", "instSliceableSubarrayNat_1", "True...
true
LinearEquiv.cast_symm_apply
Mathlib.Algebra.Module.Equiv.Defs
[ "LinearEquiv.symm", "congrArg", "cast", "LinearEquiv.cast", "AddCommMonoid", "RingHomInvPair.ids", "LinearEquiv", "Semiring", "LinearEquiv.instEquivLike", "Eq.refl", "Module", "Eq.symm", "RingHom.id", "Semiring.toNonAssocSemiring", "Eq", "DFunLike.coe", "EquivLike.toFunLike" ]
true
ContinuousOrderHom._sizeOf_inst
Mathlib.Topology.Order.Hom.Basic
[ "ContinuousOrderHom", "TopologicalSpace", "SizeOf.mk", "SizeOf", "ContinuousOrderHom._sizeOf_1", "Preorder" ]
false
MeasureTheory.MemLp.integrable_enorm_pow
Mathlib.MeasureTheory.Function.L1Space.Integrable
[ "False", "Real", "MeasureTheory.Measure", "congrArg", "CommSemiring.toSemiring", "ENNReal.instPowReal", "ENNReal.instCharZero", "AddMonoid.toAddZeroClass", "ENNReal.rpow_natCast", "MeasureTheory.Integrable", "cast", "AddZeroClass.toAddZero", "Eq.mp", "ENNReal.toReal_natCast", "AddMonoidW...
true
Std.DTreeMap.isEmpty_toList
Std.Data.DTreeMap.Lemmas
[ "Std.DTreeMap.Internal.Impl.isEmpty_toList", "Std.DTreeMap", "Std.DTreeMap.isEmpty", "Ordering", "Std.DTreeMap.inner", "List.isEmpty", "Bool", "Std.DTreeMap.toList", "Eq", "Sigma" ]
true
SkewMonoidAlgebra.liftNCRingHom._proof_1
Mathlib.Algebra.SkewMonoidAlgebra.Basic
[ "NonAssocSemiring.toAddCommMonoidWithOne", "RingHom.instRingHomClass", "RingHomClass.toAddMonoidHomClass", "AddMonoid.toAddZeroClass", "RingHom", "AddZeroClass.toAddZero", "AddMonoidHomClass", "AddCommMonoidWithOne.toAddMonoidWithOne", "RingHom.instFunLike", "Semiring", "AddMonoidWithOne.toAddMo...
false
HahnModule.instAddCommGroup._proof_9
Mathlib.RingTheory.HahnSeries.Multiplication
[ "AddMonoid.toAddSemigroup", "AddCommGroup.toAddCommMonoid", "SMul", "HahnModule.instAddCommGroup._aux_6", "AddCommGroup.toAddGroup", "HahnModule", "PartialOrder", "AddCommGroup", "SubtractionMonoid.toSubNegZeroMonoid", "Int", "SubNegZeroMonoid.toNegZeroClass", "SubtractionCommMonoid.toSubtract...
false
Nat.recOnPrimePow._proof_5
Mathlib.Data.Nat.Factorization.Induction
[ "instPowNat", "Finsupp.instFunLike", "Nat.Prime.factorization_pos_of_dvd", "Nat.instCanonicallyOrderedAdd", "MulOne.toOne", "False", "Nat.instMulZeroClass", "Preorder.toLT", "instHDiv", "LinearOrderedCommMonoidWithZero.toIsBotZeroClass", "HMul.hMul", "eq_false", "MulZeroClass.toMul", "IsSt...
false
_private.Mathlib.Combinatorics.SimpleGraph.Triangle.Tripartite.0.SimpleGraph.TripartiteFromTriangles.toTriangle._simp_5
Mathlib.Combinatorics.SimpleGraph.Triangle.Tripartite
[ "Finset", "Membership.mem", "Insert.insert", "Finset.mem_insert", "Finset.instInsert", "Finset.instSetLike", "propext", "Or", "Eq", "SetLike.instMembership", "DecidableEq" ]
false
Real.geom_mean_le_arith_mean3_weighted
Mathlib.Analysis.MeanInequalities
[ "Real.instPow", "Real.instLE", "Real", "HMul.hMul", "Real.instZero", "Distrib.toAdd", "NNReal", "LE.le", "instDistribOfSemiring", "Subtype.mk", "Real.instAdd", "Real.instOne", "instHAdd", "HPow.hPow", "HAdd.hAdd", "Real.instMul", "Iff.mp", "NNReal.instSemiring", "One.toOfNat1", ...
true
AddMonCat.HasLimits.limitConeIsLimit._proof_5
Mathlib.Algebra.Category.MonCat.Limits
[ "CategoryTheory.Limits.Cone.π", "CategoryTheory.Functor", "CategoryTheory.Limits.Cone", "AddMonCat.instConcreteCategoryAddMonoidHomCarrier", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.ConcreteCategory.hom", "AddMonoid.toAddZeroClass", "CategoryTheory.Functor.category", ...
false
AddMonoidHom.mulOp._proof_4
Mathlib.Algebra.Group.Equiv.Opposite
[ "MulOpposite", "Function.comp", "AddZeroClass.toAddZero", "instHAdd", "AddZeroClass", "HAdd.hAdd", "AddZero.toAdd", "MulOpposite.unop", "MulOpposite.unop_injective", "AddMonoidHom", "AddMonoidHom.instFunLike", "AddMonoidHom.map_add", "Eq", "DFunLike.coe", "MulOpposite.instAddZeroClass", ...
false
CategoryTheory.comp_eqToHom_iff
Mathlib.CategoryTheory.EqToHom
[ "CategoryTheory.Category.assoc", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.eq_whisker", "CategoryTheory.eqToHom", "CategoryTheory.CategoryStruct.id", "CategoryTheory.Category.comp_id", "Iff", "True", "Iff.intro", "eq_self", "CategoryTheory.CategorySt...
true