name
string
module
string
deps
list
allowCompletion
bool
_private.Mathlib.Geometry.Euclidean.Angle.Incenter.0.Affine.Triangle.oangle_excenter_singleton_eq._proof_1_4
Mathlib.Geometry.Euclidean.Angle.Incenter
[ "NormedCommRing.toNormedRing", "Int.Linear.not_eq_norm_expr", "InnerProductSpace.toNormedSpace", "Lean.RArray.leaf", "Affine.Simplex.points", "False", "Real", "Lean.Grind.not_not", "NormedRing.toRing", "Lean.Grind.not_and", "Lean.Grind.ToInt.toInt", "Real.instRCLike", "congrArg", "NormedSp...
false
Lean.Meta.Grind.EMatchTheoremConstraint.guard.injEq
Lean.Meta.Tactic.Grind.Extension
[ "Lean.Meta.Grind.EMatchTheoremConstraint", "Eq.propIntro", "Lean.Expr", "Lean.Meta.Grind.EMatchTheoremConstraint.guard.inj", "Eq.ndrec", "Eq.refl", "Lean.Meta.Grind.EMatchTheoremConstraint.guard", "Eq" ]
true
CategoryTheory.eHom_whisker_cancel_inv
Mathlib.CategoryTheory.Enriched.Ordinary.Basic
[ "CategoryTheory.eHom_whisker_cancel", "CategoryTheory.MonoidalCategoryStruct.whiskerLeft", "CategoryTheory.EnrichedOrdinaryCategory", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.MonoidalCategory", "CategoryTheory.EnrichedOrdinaryCategory.toEnrichedCategory", "CategoryTheory...
true
_private.Mathlib.Analysis.SpecialFunctions.ContinuousFunctionalCalculus.Rpow.ConjSqrt.0.CFC.conjSqrt_ringInverse_conjSqrt._proof_1_3
Mathlib.Analysis.SpecialFunctions.ContinuousFunctionalCalculus.Rpow.ConjSqrt
[ "Lean.Grind.AC.eq_erase0", "Nontrivial", "Lean.RArray.leaf", "MulOne.toOne", "False", "IsSelfAdjoint", "Real.partialOrder", "Lean.Grind.AC.Expr.op", "Real", "Algebra.to_smulCommClass", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "instStarRingReal", "instSMulOfMul", "Ring.inverse_mul_c...
false
_private.Init.Data.UInt.Bitwise.0.UInt64.zero_shiftLeft._simp_1_1
Init.Data.UInt.Bitwise
[ "UInt64", "UInt64.toBitVec_inj", "BitVec", "instOfNatNat", "Nat", "propext", "OfNat.ofNat", "Eq.symm", "Eq", "UInt64.toBitVec" ]
false
_private.Mathlib.Data.Fin.Tuple.Reflection.0.FinVec.Forall.match_1.eq_1
Mathlib.Data.Fin.Tuple.Reflection
[ "instOfNatNat", "instHAdd", "HAdd.hAdd", "Nat", "instAddNat", "Eq.refl", "FinVec.Forall.match_1", "OfNat.ofNat", "Fin", "Nat.succ", "Eq" ]
true
CategoryTheory.Abelian.SpectralObject.zero₁_assoc
Mathlib.Algebra.Homology.SpectralObject.Basic
[ "CategoryTheory.Abelian.toPreadditive", "CategoryTheory.Category.assoc", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.Abelian.SpectralObject.H", "PartialOrder.toPreorder", "CategoryTheory.Functor.category", "CategoryTheory.Abelian", "CategoryTheory.Composable...
true
Lean.Omega.IntList.gcd_eq_zero._simp_1
Init.Omega.IntList
[ "Lean.Omega.IntList.gcd", "Membership.mem", "instOfNatNat", "Int", "List.instMembership", "instOfNat", "Nat", "propext", "Lean.Omega.IntList.gcd_eq_zero", "OfNat.ofNat", "Eq", "Lean.Omega.IntList" ]
false
Module.Basis.range_extend
Mathlib.LinearAlgebra.Basis.VectorSpace
[ "LinearIndepOn.extend", "Eq.mpr", "congrArg", "AddCommGroup.toAddCommMonoid", "Set.subset_univ", "Set.univ", "setOf", "Membership.mem", "DivisionRing.toDivisionSemiring", "AddCommGroup", "Set.Elem", "Module.Basis.extend", "id", "Subtype", "Subtype.range_coe_subtype", "Module.Basis.inst...
true
_private.Lean.Meta.Tactic.Grind.AC.Eq.0.Lean.Meta.Grind.AC.withExprs.go.match_1.eq_2
Lean.Meta.Tactic.Grind.AC.Eq
[ "False", "id", "List.rec", "List.cons", "List", "absurd", "Nat", "List.casesOn", "Eq.refl", "_private.Lean.Meta.Tactic.Grind.AC.Eq.0.Lean.Meta.Grind.AC.withExprs.go.match_1", "Eq", "List.nil" ]
true
Ring.DirectLimit.lift_of
Mathlib.Algebra.Colimit.Ring
[ "CommRing", "Ring.instCommRingDirectLimit", "CommSemiring.toSemiring", "Ring.DirectLimit.lift", "FreeCommRing.lift_of", "Preorder.toLE", "Ring.DirectLimit.of", "RingHom", "Sigma.fst", "LE.le", "CommRing.toCommSemiring", "RingHom.instFunLike", "Ring.DirectLimit", "Sigma.mk", "Sigma.snd", ...
true
NonUnitalSubsemiring.prodEquiv
Mathlib.RingTheory.NonUnitalSubsemiring.Basic
[ "Set.instSProd", "NonUnitalSubsemiring.prodEquiv._proof_1", "SProd.sprod", "Prod.instMul", "Prod.instAdd", "Prod.instNonUnitalNonAssocSemiring", "Membership.mem", "Set.Elem", "NonUnitalSubsemiring.prod", "Equiv", "Subtype", "Distrib.toAdd", "NonUnitalSubsemiring.instNonUnitalSubsemiringClass...
true
_private.Lean.Meta.InferType.0.Lean.Meta.ArrowPropResult.casesOn
Lean.Meta.InferType
[ "_private.Lean.Meta.InferType.0.Lean.Meta.ArrowPropResult", "_private.Lean.Meta.InferType.0.Lean.Meta.ArrowPropResult.rec", "_private.Lean.Meta.InferType.0.Lean.Meta.ArrowPropResult.bvar", "_private.Lean.Meta.InferType.0.Lean.Meta.ArrowPropResult.undef", "_private.Lean.Meta.InferType.0.Lean.Meta.ArrowPropRe...
false
Std.TreeMap.Raw.contains_iff_mem._simp_1
Std.Data.TreeMap.Raw.Lemmas
[ "Std.TreeMap.Raw.contains", "Membership.mem", "Ordering", "Std.TreeMap.Raw.contains_iff_mem", "Std.TreeMap.Raw.instMembership", "Std.TreeMap.Raw", "Bool.true", "propext", "Bool", "Eq" ]
false
Lean.Elab.Command.InductiveElabStep2
Lean.Elab.MutualInductive
[ "Lean.Elab.Command.InductiveElabStep2.mk" ]
true
_private.Mathlib.Tactic.CategoryTheory.Elementwise.0.Mathlib.Tactic.Elementwise.mkUnusedName.loop
Mathlib.Tactic.CategoryTheory.Elementwise
[ "Inhabited.default", "instOfNatNat", "List", "Nat", "Lean.Name", "Inhabited", "optParam", "OfNat.ofNat", "Inhabited.mk" ]
true
GradedAlgHom.mk.injEq
Mathlib.RingTheory.GradedAlgebra.AlgHom
[ "Submodule", "Eq.propIntro", "CommSemiring.toSemiring", "GradedAlgHom", "AlgHom", "GradedAlgHom.mk", "Algebra", "RingHom", "Membership.mem", "Algebra.toModule", "CommSemiring", "RingHom.instFunLike", "GradedAlgebra", "AlgHom.toRingHom", "Submodule.setLike", "AddMonoid", "Eq.ndrec", ...
true
CategoryTheory.Monad.monadicOfHasPreservesReflexiveCoequalizersOfReflectsIsomorphisms._proof_1
Mathlib.CategoryTheory.Monad.Monadicity
[ "CategoryTheory.Monad.MonadicityInternal.leftAdjointComparison", "CategoryTheory.Monad.MonadicityInternal.unitCofork", "Eq.mpr", "CategoryTheory.Equivalence.isEquivalence_inverse", "CategoryTheory.Monad.forget_reflects_iso", "CategoryTheory.Functor", "CategoryTheory.Monad.forget", "CategoryTheory.Mona...
false
Lean.Meta.Grind.AC.ProofM.State.exprDecls
Lean.Meta.Tactic.Grind.AC.Proof
[ "Lean.Grind.AC.Expr", "Lean.Meta.Grind.AC.ProofM.State", "Lean.Expr", "Lean.Meta.Grind.AC.instHashableExpr_lean", "Std.HashMap", "Lean.Grind.AC.instBEqExpr" ]
true
Lean.Parser.Module.prelude
Lean.Parser.Module.Syntax
[ "Lean.Parser.Parser", "Lean.Parser.leadingNode", "instOfNatNat", "Lean.Parser.symbol", "Lean.Parser.withAntiquot", "Bool.true", "Nat", "Lean.Parser.withCache", "OfNat.ofNat", "Lean.Parser.mkAntiquot", "Bool.false", "Lean.Name.mkStr4" ]
true
sigmaFinsuppEquivDFinsupp_symm_apply
Mathlib.Data.Finsupp.ToDFinsupp
[ "Finsupp.instFunLike", "Equiv.instEquivLike", "DFinsupp.instDFunLike", "Equiv", "Sigma.fst", "DFinsupp", "Equiv.symm", "Finsupp.instZero", "sigmaFinsuppEquivDFinsupp", "Sigma.snd", "Eq", "DFunLike.coe", "Finsupp", "Sigma", "rfl", "EquivLike.toFunLike", "Zero" ]
true
_private.Batteries.Data.Array.Lemmas.0.Array.extract_append_of_stop_le_size_left._proof_1_14
Batteries.Data.Array.Lemmas
[ "Array.getElem_append._proof_2", "Int.Linear.eq_of_core", "Array.instAppend", "Int.Linear.not_eq_norm_expr", "Array.size_append", "of_eq_false", "Lean.Grind.CommRing.le_norm_expr", "Lean.Grind.instOrderedRingInt", "Lean.RArray.leaf", "GetElem", "False", "dite_congr", "HMul.hMul", "Lean.Gri...
false
AlgebraicGeometry.specOrderIsoPrimeSpectrum_apply
Mathlib.AlgebraicGeometry.Scheme
[ "OrderDual.instLE", "OrderDual.toDual", "AlgebraicGeometry.Spec", "Equiv.instEquivLike", "CommRingCat.carrier", "AlgebraicGeometry.PresheafedSpace.carrier", "CommRingCat", "PartialOrder.toPreorder", "Preorder.toLE", "CommRingCat.instCategory", "Equiv", "LE.le", "AlgebraicGeometry.specOrderIs...
true
_private.Mathlib.Analysis.InnerProductSpace.Symmetric.0.Submodule.isSymmetric_projection_iff._simp_1_1
Mathlib.Analysis.InnerProductSpace.Symmetric
[ "SeminormedAddCommGroup", "Inner.inner", "NormedField.toField", "Field.toSemifield", "RCLike.toDenselyNormedField", "RCLike", "Semifield.toDivisionSemiring", "propext", "DivisionSemiring.toSemiring", "inner_eq_zero_symm", "Zero.toOfNat0", "InnerProductSpace.toInner", "OfNat.ofNat", "Densel...
false
UInt8.ofBitVec_shiftRight_mod
Init.Data.UInt.Bitwise
[ "instPowNat", "BitVec.instHShiftRight", "BitVec.instHShiftRightNat", "Dvd.dvd", "BitVec.instOfNat", "congrArg", "UInt8.toBitVec_shiftRight", "instShiftRightUInt8", "UInt8.toNat_ofNat'", "BitVec", "Nat.instMod", "instHMod", "instOfNatNat", "BitVec.toNat", "BitVec.ofNat", "instHShiftRigh...
true
Std.Time.TimeZone.convertTZif
Std.Time.Zoned.Database.Basic
[ "Std.Time.TimeZone.convertTZifV1", "_private.Std.Time.Zoned.Database.Basic.0.Std.Time.TimeZone.convertTZif.match_1", "String", "Std.Time.TimeZone.TZif.TZif.v2", "Std.Time.TimeZone.TZif.TZifV2", "Std.Time.TimeZone.convertTZifV2", "Std.Time.TimeZone.TZif.TZif", "Except", "Std.Time.TimeZone.TZif.TZif.v...
true
_private.Init.Data.Iterators.Lemmas.Consumers.Collect.0.Std.Iter.atIdxSlow?.match_1.eq_2
Init.Data.Iterators.Lemmas.Consumers.Collect
[ "PSigma.snd", "InvImage", "WellFoundedRelation.rel", "Prod.Lex", "Prod.mk", "instOfNatNat", "sizeOfWFRel", "Id", "Std.Iterator", "instHAdd", "Std.Iter", "HAdd.hAdd", "Std.IterM.TerminationMeasures.Productive", "Nat", "PSigma.mk", "Std.IterM.TerminationMeasures.Productive.Rel", "instA...
true
Array.getElem_toList
Init.Data.Array.Basic
[ "Array.toList", "Array", "GetElem.getElem", "List", "Array.instGetElemNatLtSize", "Nat", "LT.lt", "instLTNat", "List.instGetElemNatLtLength", "Eq", "List.length", "Array.size", "rfl" ]
true
_private.Lean.Data.Json.FromToJson.Basic.0.Lean.Json.Structured.toJson.match_1
Lean.Data.Json.FromToJson.Basic
[ "Lean.Json", "Lean.Json.Structured.obj", "String", "Lean.Json.Structured", "Ord.compare", "Array", "Std.TreeMap.Raw", "Lean.Json.Structured.arr", "String.instOrd", "Lean.Json.Structured.casesOn" ]
false
Aesop.PatSubstSource.casesOn
Aesop.Forward.State
[ "Aesop.PatSubstSource.hyp", "Aesop.PatSubstSource.target", "Lean.FVarId", "Aesop.PatSubstSource", "Aesop.PatSubstSource.rec" ]
false
_private.Std.Internal.Do.WP.Lemmas.0.EStateM.tryCatch.match_1.eq_2
Std.Internal.Do.WP.Lemmas
[ "EStateM.tryCatch.match_1", "False", "EStateM.Result", "False.elim", "EStateM.Result.rec", "id", "EStateM.Result.casesOn", "Eq.refl", "EStateM.Result.ok", "EStateM.Result.error", "Eq" ]
true
LieHom.mem_idealRange_iff._simp_1
Mathlib.Algebra.Lie.Ideal
[ "LieHom", "LieAlgebra.toModule", "LieSubmodule.instSetLike", "CommRing", "LieRing.toAddCommGroup", "Membership.mem", "Exists", "LieRing", "LieHom.idealRange", "propext", "LieIdeal", "LieAlgebra", "LieHom.instFunLike", "LieHom.mem_idealRange_iff", "Eq", "DFunLike.coe", "lieRingSelfMod...
false
CategoryTheory.SmallObject.SuccStruct.isColimitIterationCocone
Mathlib.CategoryTheory.SmallObject.TransfiniteIteration
[ "CategoryTheory.SmallObject.SuccStruct.iteration._proof_1", "Preorder.toLT", "CategoryTheory.SmallObject.SuccStruct", "LinearOrder", "WellFoundedLT", "PartialOrder.toPreorder", "CategoryTheory.Limits.colimit.isColimit", "Preorder.toLE", "OrderBot", "SemilatticeInf.toPartialOrder", "CategoryTheor...
true
ULift.group._proof_6
Mathlib.Algebra.Group.ULift
[ "Equiv.instEquivLike", "ULift", "DivInvMonoid.toZPow", "Group", "Equiv.ulift", "Equiv", "Int", "Group.toDivInvMonoid", "HPow.hPow", "instHPow", "Eq", "DFunLike.coe", "ULift.pow", "rfl", "EquivLike.toFunLike" ]
false
MeasureTheory.innerRegular_map_add_left
Mathlib.MeasureTheory.Group.Measure
[ "MeasureTheory.Measure", "instSeparatelyContinuousAddOfContinuousAdd", "AddMonoid.toAddZeroClass", "MeasureTheory.Measure.InnerRegular.map_of_continuous", "BorelSpace", "AddZeroClass.toAddZero", "IsTopologicalAddGroup.toContinuousAdd", "MeasurableSpace", "TopologicalSpace", "instHAdd", "AddGroup...
true
WithBot.unbotD_zero
Mathlib.Algebra.Order.Monoid.Unbundled.WithTop
[ "WithBot", "WithBot.zero", "Zero.toOfNat0", "OfNat.ofNat", "Eq", "WithBot.unbotD", "rfl", "Zero" ]
true
_private.Mathlib.Data.Fin.SuccPred.0.Fin.succAbove_succAbove_succAbove_predAbove._proof_1_11
Mathlib.Data.Fin.SuccPred
[ "Int.Linear.eq_of_core", "Lean.RArray.leaf", "False", "Lean.Grind.not_false", "HMul.hMul", "Int.Linear.norm_le", "Int.Linear.Expr.eq_of_norm_eq", "Lean.Grind.ToInt.toInt", "congrArg", "Int.Linear.le_norm_expr", "Lean.Grind.Semiring.mul_one", "Int.Linear.le_unsat", "Int.Linear.le_neg", "Cla...
false
_private.Mathlib.RingTheory.Support.0.Module.mem_support_iff_of_finite._simp_1_2
Mathlib.RingTheory.Support
[ "instHSMul", "Semiring.toModule", "CommSemiring.toSemiring", "DistribMulAction.toDistribSMul", "AddMonoid.toAddZeroClass", "Membership.mem", "AddZeroClass.toAddZero", "Set.instSingletonSet", "DistribSMul.toSMulZeroClass", "Ideal", "AddCommMonoid", "CommSemiring", "AddZero.toZero", "Submodu...
false
CategoryTheory.ObjectProperty.strictLimitsOfShape_monotone
Mathlib.CategoryTheory.ObjectProperty.LimitsOfShape
[ "CategoryTheory.Functor", "HEq.refl", "Prop.le", "CategoryTheory.Limits.HasLimit", "CategoryTheory.ObjectProperty.strictLimitsOfShape.limit", "LE.le", "Pi.hasLe", "CategoryTheory.Limits.limit", "Eq.ndrec", "Eq.refl", "HEq", "CategoryTheory.ObjectProperty.strictLimitsOfShape", "CategoryTheory...
true
BddAbove.smul_of_nonpos
Mathlib.Algebra.Order.Module.Pointwise
[ "instHSMul", "IsOrderedRing", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "AddMonoid.toAddZeroClass", "PartialOrder.toPreorder", "Preorder.toLE", "AddCommGroup.toAddGroup", "AddZeroClass.toAddZero", "PartialOrder", "AddCommGroup", "DistribSMul.toSMulZeroClass", "PosSMul...
true
Orientation.norm_div_tan_oangle_sub_left_of_oangle_eq_pi_div_two
Mathlib.Geometry.Euclidean.Angle.Oriented.RightAngle
[ "AlternatingMap.instAddCommGroup", "AlternatingMap", "Norm.norm", "Eq.mpr", "InnerProductSpace.toNormedSpace", "NegZeroClass.toNeg", "SubtractionMonoid.toInvolutiveNeg", "Orientation", "Real.partialOrder", "Real", "instHDiv", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "Semiring.toModul...
true
List.eraseIdx_modify_of_eq
Init.Data.List.Nat.Modify
[ "List.getElem_modify._proof_1", "Eq.mpr", "Decidable.casesOn", "dite_congr", "List.eraseIdx", "List.ext_getElem", "congrArg", "Classical.byContradiction", "List.length_eraseIdx", "HSub.hSub", "Decidable", "List.length_modify", "List.modify", "dif_pos", "id", "instSubNat", "instOfNatN...
true
ULift.ring._proof_3
Mathlib.Algebra.Ring.ULift
[ "SubNegMonoid.zsmul_succ'", "ULift.addCommGroup", "AddMonoid.toAddSemigroup", "ULift", "AddCommGroup.toAddGroup", "Int", "Nat.cast", "SubNegMonoid.zsmul", "instHAdd", "AddSemigroup.toAdd", "AddGroup.toSubNegMonoid", "HAdd.hAdd", "Ring.toAddCommGroup", "Nat", "instNatCastInt", "SubNegMo...
false
AEMeasurable.cexp
Mathlib.MeasureTheory.Function.SpecialFunctions.Basic
[ "MeasureTheory.Measure", "AEMeasurable", "Complex.measurable_exp", "Complex.measurableSpace", "MeasurableSpace", "Complex.exp", "Measurable.comp_aemeasurable", "Complex" ]
true
NumberField.instCommRingInfiniteAdeleRing._aux_32
Mathlib.NumberTheory.NumberField.InfiniteAdeleRing
[ "NormedCommRing.toSeminormedCommRing", "Real.partialOrder", "Real", "WithAbs", "WithAbs.instCommRing", "NumberField.InfiniteAdeleRing", "Complex.instNormedField", "IsTopologicalDivisionRing.toIsTopologicalRing", "PseudoMetricSpace.toUniformSpace", "AddCommGroup.toAddGroup", "NormedDivisionRing.t...
false
Sym2.hrec._proof_1
Mathlib.Data.Sym.Sym2
[ "Eq.mpr", "Sym2.Rel", "Sym2.rec.match_1", "Sym2.mk", "id", "HEq.rfl", "Sym2.rel_iff'._simp_1", "Prod.fst", "Or.casesOn", "implies_congr", "Eq.ndrec", "Eq.refl", "HEq", "Or", "Prod.swap", "Prod", "Eq.symm", "Eq", "Prod.snd", "Sym2", "Quot.mk", "forall_congr" ]
false
ValuationRing.instOfIsLocalRingOfIsBezout
Mathlib.RingTheory.Valuation.ValuationRing
[ "Mathlib.Tactic.Ring.Common.mul_pf_left", "Iff.mpr", "Eq.mpr", "Ideal.subset_span", "NonAssocSemiring.toAddCommMonoidWithOne", "Submodule", "Ideal.mem_span_singleton'", "IsDomain", "CommRing", "Dvd.dvd", "Semiring.toModule", "Mathlib.Tactic.Ring.Common.mul_congr", "HMul.hMul", "CommRing.to...
true
RingHom.SurjectiveOnStalks.baseChange
Mathlib.RingTheory.SurjectiveOnStalks
[ "Eq.mpr", "NonAssocSemiring.toAddCommMonoidWithOne", "RingHom.instRingHomClass", "CommRing", "Algebra.to_smulCommClass", "TensorProduct.leftHasSMul", "instHSMul", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "Semiring.toModule", "instSMulOfMul", "TensorProduct.smul_tmul", "HMul.hMul", "I...
true
Int.bmod_eq_of_le_mul_two
Init.Data.Int.DivMod.Lemmas
[ "Int.instDiv", "instHDiv", "HMul.hMul", "Int.decLe", "HDiv.hDiv", "Int.instNegInt", "_private.Init.Data.Int.DivMod.Lemmas.0.Int.bmod_eq_of_le_mul_two._proof_1_1", "Int", "LE.le", "Nat.cast", "Int.instMul", "Int.instLTInt", "instHAdd", "instOfNat", "HAdd.hAdd", "Int.bmod", "Nat", "_...
true
Commute.conj
Mathlib.Algebra.Group.Commute.Basic
[ "Iff.mpr", "HMul.hMul", "DivInvOneMonoid.toInvOneClass", "Monoid.toMulOneClass", "Group", "Commute", "Group.toDivisionMonoid", "DivisionMonoid.toDivInvOneMonoid", "MulOne.toMul", "DivInvMonoid.toMonoid", "Group.toDivInvMonoid", "MulOneClass.toMulOne", "Inv.inv", "Commute.conj_iff", "InvO...
true
lp.instNormedSpace._proof_1
Mathlib.Analysis.Normed.Lp.lpSpace
[ "NormedCommRing.toSeminormedCommRing", "NormedSpace.toIsBoundedSMul", "NormedSpace", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "NormedSpace.toModule", "AddMonoid.toAddZeroClass", "AddCommGroup.toAddGroup", "NormedField.toField", "IsBoundedSMul", "AddZeroClass.toAddZero", ...
false
ContinuousAffineMap.toContinuousMap_coe
Mathlib.Topology.Algebra.ContinuousAffineMap
[ "AddCommGroup.toAddCommMonoid", "ContinuousMap", "AddCommGroup.toAddGroup", "AddCommGroup", "ContinuousAffineMap", "ContinuousAffineMap.instContinuousMapClass", "toContinuousMap", "TopologicalSpace", "AddTorsor", "ContinuousAffineMap.toContinuousMap", "Module", "ContinuousAffineMap.instFunLike...
true
PresheafOfModules.instMonoidalCompOppositeCommRingCatRingCatForget₂RingHomCarrierCarrierOpPushforward₀OfCommRingCat._proof_5
Mathlib.Algebra.Category.ModuleCat.Presheaf.PushforwardZeroMonoidal
[ "CategoryTheory.Functor.op", "Eq.mpr", "CategoryTheory.Functor", "Opposite", "CommRingCat.carrier", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CommSemiring.toSemiring", "CommRingCat", "PresheafOfModules.monoidalCategory", "CommRingCat.instConcreteCategoryRingHomCarrie...
false
Lean.EnvironmentHeader._proof_1
Lean.Environment
[ "Lean.EffectiveImport", "Std.Legacy.Range.stop", "Membership.mem", "inferInstance", "instOfNatNat", "Membership", "Array", "Std.Legacy.Range.mk", "Nat", "LT.lt", "Std.Legacy.Range", "Std.Legacy.instMembershipNatRange", "Eq.refl", "instLTNat", "Membership.get_elem_helper", "OfNat.ofNat"...
false
_private.Init.WFComputable.0.Acc.recC._unary._proof_6
Init.WFComputable
[ "Acc", "PSigma" ]
false
Int.neg_le_neg
Init.Data.Int.Order
[ "Int.add_le_add_left", "congrArg", "Int.add_le_add_right", "Int.add_neg_cancel_right", "Eq.rec", "Eq.mp", "Int.add_left_neg", "Int.instNegInt", "Int", "LE.le", "instHAdd", "instOfNat", "HAdd.hAdd", "Int.instAdd", "OfNat.ofNat", "Int.zero_add", "Eq", "Neg.neg", "Int.instLEInt" ]
true
Lean.MonadFileMap.noConfusion
Lean.Data.Position
[ "Lean.MonadFileMap", "HEq.refl", "Lean.FileMap", "Lean.MonadFileMap.casesOn", "Lean.MonadFileMap.noConfusionType", "eq_of_heq", "Eq.ndrec", "HEq", "Eq" ]
false
String.Slice.Subslice.noConfusionType
Init.Data.String.Subslice
[ "String.Slice.Subslice", "String.instLEPos_1", "String.Slice", "LE.le", "HEq", "String.Slice.Pos", "String.Slice.Subslice.casesOn" ]
false
CategoryTheory.GrothendieckTopology.Cover.Arrow.precomp_Y
Mathlib.CategoryTheory.Sites.Grothendieck
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.GrothendieckTopology.Cover.Arrow", "CategoryTheory.GrothendieckTopology.Cover", "CategoryTheory.GrothendieckTopology", "CategoryTheory.GrothendieckTopology.Cover.Arrow.precomp", "Eq.refl", "CategoryTheory.Category.toCategoryStruct...
true
Polynomial.aeval.eq_1
Mathlib.Algebra.Polynomial.Bivariate
[ "Equiv.instEquivLike", "CommSemiring.toSemiring", "AlgHom", "Polynomial.algebraOfAlgebra", "Polynomial.aevalEquiv", "Algebra", "Algebra.id", "Equiv", "Polynomial", "CommSemiring", "Polynomial.semiring", "Semiring", "Eq.refl", "Polynomial.aeval", "Eq", "DFunLike.coe", "EquivLike.toFun...
true
CategoryTheory.JointlyFaithful.map_injective
Mathlib.CategoryTheory.Functor.ReflectsIso.Jointly
[ "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Functor.map", "CategoryTheory.JointlyFaithful", "CategoryTheory.Category.toCategoryStruct", "Eq", "CategoryTheory.Functor.obj", "CategoryTheory.Category" ]
true
TopCat.Presheaf.isSheaf_on_punit_iff_isTerminal
Mathlib.Topology.Sheaves.PUnit
[ "CategoryTheory.ObjectProperty.FullSubcategory.mk", "CategoryTheory.Functor", "Lattice.toSemilatticeSup", "Opposite", "TopologicalSpace.Opens.instPartialOrder", "CategoryTheory.Limits.IsTerminal", "OrderBot.toBot", "PartialOrder.toPreorder", "CategoryTheory.Functor.category", "_private.Mathlib.Top...
true
CategoryTheory.ShortComplex.homologyMap_smul
Mathlib.Algebra.Homology.ShortComplex.Linear
[ "instHSMul", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "AddMonoid.toAddZeroClass", "CategoryTheory.Linear", "CategoryTheory.ShortComplex", "CategoryTheory.ShortComplex.HasHomology", "AddCommGroup.toAddGroup", "AddZer...
true
Nat.gcd_mul_left_sub_right
Init.Data.Nat.Gcd
[ "Nat.gcd", "Nat.gcd_mul_right_sub_right", "Eq.mpr", "HMul.hMul", "congrArg", "HSub.hSub", "Eq.rec", "id", "instSubNat", "instMulNat", "Nat.mul_comm", "LE.le", "instLENat", "instHSub", "Nat", "Eq.refl", "Eq", "instHMul" ]
true
_private.Std.Data.Internal.List.Associative.0.Std.Internal.List.getValue_filter_not_contains._simp_1_1
Std.Data.Internal.List.Associative
[ "Option.some", "Std.Internal.List.getValue", "Bool.true", "List", "Std.Internal.List.containsKey", "Std.Internal.List.getValue?", "Bool", "Eq.symm", "BEq", "Eq", "Sigma", "Std.Internal.List.getValue?_eq_some_getValue", "Option" ]
false
Mathlib.Tactic.Translate.etaExpandN
Mathlib.Tactic.Translate.Core
[ "Pure.pure", "Lean.MessageData", "Lean.MonadError.mk", "instDecidableNot", "Lean.instMonadExceptOfExceptionCoreM", "Lean.mkAppN", "instMonadControlTOfPure", "String", "Lean.Meta.State", "Lean.instAddErrorMessageContextOfAddMessageContextOfMonad", "Lean.MessageData.instAppend", "Option.some", ...
true
Cardinal.add_nat_inj
Mathlib.SetTheory.Cardinal.Arithmetic
[ "Cardinal", "Cardinal.add_right_inj_of_lt_aleph0", "Cardinal.instAdd", "Cardinal.natCast_lt_aleph0", "Nat.cast", "instHAdd", "Iff", "HAdd.hAdd", "Nat", "Eq", "Cardinal.instNatCast" ]
true
_private.Mathlib.Algebra.MonoidAlgebra.NoZeroDivisors.0.MonoidAlgebra.instIsLeftCancelMulZeroOfIsCancelAddOfUniqueProds._simp_3
Mathlib.Algebra.MonoidAlgebra.NoZeroDivisors
[ "IsRightCancelAdd", "instHAdd", "HAdd.hAdd", "add_right_cancel_iff", "propext", "Eq", "Add" ]
false
_private.Mathlib.Topology.QuasiSeparated.0.QuasiSeparatedSpace.isCompact_sInter_of_nonempty._proof_1_6
Mathlib.Topology.QuasiSeparated
[ "Set.mem_union", "False", "eq_false", "Lean.Grind.iff_eq", "Set.subset_def", "congrArg", "Classical.byContradiction", "setOf", "Membership.mem", "Exists", "Set.instUnion", "Eq.mp", "id", "Lean.Grind.or_eq_of_eq_true_left", "HasSubset.Subset", "Lean.Grind.eq_false_of_imp_eq_false", "I...
false
TopologicalSpace.OpenNhdsOf.rec
Mathlib.Topology.Sets.Opens
[ "TopologicalSpace.OpenNhdsOf", "TopologicalSpace.Opens", "Membership.mem", "TopologicalSpace.OpenNhdsOf.mk", "TopologicalSpace.Opens.carrier", "TopologicalSpace", "Set.instMembership", "Set" ]
false
Lean.Parser.Tactic.Conv.pattern
Init.Conv
[ "Lean.ParserDescr.nonReservedSymbol", "Lean.Parser.Tactic.Conv.occs", "Lean.Name.mkStr5", "instOfNatNat", "Lean.ParserDescr.binary", "Lean.ParserDescr", "Lean.ParserDescr.unary", "Lean.ParserDescr.node", "Nat", "Lean.ParserDescr.cat", "OfNat.ofNat", "Bool.false", "Lean.Name.mkStr1" ]
true
_private.Mathlib.Topology.Sets.VietorisTopology.0.TopologicalSpace.vietoris.specializes_iff_of_t1Space._simp_1_1
Mathlib.Topology.Sets.VietorisTopology
[ "TopologicalSpace.vietoris.specializes_iff", "Specializes", "TopologicalSpace.vietoris", "Membership.mem", "Exists", "HasSubset.Subset", "TopologicalSpace", "And", "closure", "propext", "Eq", "Set.instMembership", "Set.instHasSubset", "Set" ]
false
HomologicalComplex.Hom.comm_from
Mathlib.Algebra.Homology.HomologicalComplex
[ "HomologicalComplex.xNext", "CategoryTheory.Limits.HasZeroMorphisms", "HomologicalComplex.Hom.f", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "HomologicalComplex", "ComplexShape", "HomologicalComplex.Hom", "HomologicalComplex.dFrom", "ComplexShape.next", "CategoryTheory.CategoryStruc...
true
_private.Mathlib.Order.Nucleus.0.Nucleus.range.instFrameMinimalAxioms._simp_1
Mathlib.Order.Nucleus
[ "Subtype.coe_le_coe", "Subtype", "LE.le", "LE", "propext", "Eq.symm", "Subtype.val", "Eq", "Subtype.instLE" ]
false
StarMonoidHom.coe_one
Mathlib.Algebra.Star.MonoidHom
[ "Monoid", "MulOne.toOne", "Monoid.toMulOneClass", "StarMonoidHom.instMonoid", "id", "MulOneClass.toMulOne", "Star", "StarMonoidHom", "One.toOfNat1", "StarMonoidHom.instFunLike", "OfNat.ofNat", "Eq", "DFunLike.coe", "rfl" ]
true
_private.Mathlib.AlgebraicGeometry.Morphisms.FlatRank.0.AlgebraicGeometry.Scheme.Hom.finrank.eq_1
Mathlib.AlgebraicGeometry.Morphisms.FlatRank
[ "CategoryTheory.Limits.pullback", "AlgebraicGeometry.Spec", "AlgebraicGeometry.Scheme", "AlgebraicGeometry.PresheafedSpace.carrier", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.ConcreteCategory.hom", "CommRingCat", "TopCat.instCategory", "AlgebraicGeometry.Scheme.Affine...
true
_private.Mathlib.RingTheory.OreLocalization.NonZeroDivisors.0.OreLocalization.inv._simp_2
Mathlib.RingTheory.OreLocalization.NonZeroDivisors
[ "or_self_iff", "propext", "Or", "Eq" ]
false
LieAlgebra.Basis.root_mem_or_mem_neg
Mathlib.Algebra.Lie.Basis
[ "LieAlgebra.IsKilling.corootSubmodule._proof_4", "LieAlgebra.toModule", "LieAlgebra.Basis.baseSupp", "LieSubalgebra.lieAlgebra", "AddGroup.toSubtractionMonoid", "Eq.mpr", "NegZeroClass.toNeg", "NonAssocSemiring.toAddCommMonoidWithOne", "Submodule", "instIsPrincipalIdealRingOfIsSemisimpleRing", "...
true
CategoryTheory.Bicategory.leftAdjointSquare.comp_hvcomp
Mathlib.CategoryTheory.Bicategory.Adjunction.Mate
[ "Mathlib.Tactic.Bicategory.evalWhiskerLeft_nil", "Eq.mpr", "CategoryTheory.Bicategory.whisker_exchange", "Trans.trans", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.Bicategory.whiskerLeftIso", "Mathlib.Tactic.Bicategory.eval_whiskerLeft", "CategoryTheory.Bica...
true
PowerSeries.derivative_invOf
Mathlib.RingTheory.PowerSeries.Derivative
[ "Derivation", "MvPowerSeries.instAddCommGroup", "Eq.mpr", "NegZeroClass.toNeg", "CommRing", "instHSMul", "Semiring.toModule", "instSMulOfMul", "HMul.hMul", "MvPowerSeries.instCommSemiring", "congrArg", "CommSemiring.toSemiring", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMono...
true
instModuleGradedTensorProduct._proof_4
Mathlib.LinearAlgebra.TensorProduct.Graded.Internal
[ "NonAssocSemiring.toAddCommMonoidWithOne", "Submodule", "MulOne.toOne", "GradedTensorProduct", "CommRing", "instHSMul", "Monoid.toMulOneClass", "CommSemiring.toSemiring", "Algebra", "Algebra.toModule", "SMul.mk", "AddCommMonoidWithOne.toAddMonoidWithOne", "SemigroupAction.mk", "CommSemirin...
false
_private.Lean.Meta.Tactic.Cbv.ControlFlow.0.Lean.Meta.Sym.Simp.simpDecideCbv
Lean.Meta.Tactic.Cbv.ControlFlow
[ "Pure.pure", "Lean.Meta.Sym.Internal.mkAppS₂", "Unit.unit", "Lean.Expr.isApp", "Lean.Meta.Sym.isFalseExpr", "Lean.Meta.Sym.Simp.propagateOverApplied", "ReaderT", "Lean.Meta.Sym.Internal.instMonadShareCommonSymM", "Lean.Meta.Sym.Simp.MethodsRef", "Lean.Expr.cleanupAnnotations", "instMonadLiftT", ...
true
DerivedCategory.triangleOfSESδ._proof_3
Mathlib.Algebra.Homology.DerivedCategory.ShortExact
[ "CategoryTheory.Abelian.toPreadditive", "HomologicalComplex.instCategory", "CategoryTheory.ShortComplex", "AddGroupWithOne.toAddMonoidWithOne", "CategoryTheory.ShortComplex.HasHomology", "AddRightCancelSemigroup.toAddSemigroup", "CategoryTheory.ShortComplex.X₁", "AddCancelMonoid.toAddRightCancelMonoid...
false
_private.Lean.Meta.Sym.Pattern.0.Lean.Meta.Sym.UnifyM.State.iPending
Lean.Meta.Sym.Pattern
[ "Lean.Expr", "Array", "Prod", "_private.Lean.Meta.Sym.Pattern.0.Lean.Meta.Sym.UnifyM.State" ]
true
Std.DHashMap.contains_of_contains_insertIfNew'
Std.Data.DHashMap.Lemmas
[ "Std.DHashMap.Raw", "Std.DHashMap.wf", "instOfNatNat", "LawfulHashable", "Subtype.mk", "Bool.true", "Std.DHashMap.contains", "And", "BEq.beq", "EquivBEq", "Std.DHashMap.inner", "Nat", "Std.DHashMap.Raw.buckets", "LT.lt", "Std.DHashMap.Internal.Raw₀.contains_of_contains_insertIfNew'", "...
true
_private.Mathlib.ModelTheory.Arithmetic.Presburger.Semilinear.Basic.0.IsSlice
Mathlib.ModelTheory.Arithmetic.Presburger.Semilinear.Basic
[ "Membership.mem", "instHAdd", "HAdd.hAdd", "Set.instMembership", "Add", "Set" ]
true
_private.Std.Data.DTreeMap.Internal.Lemmas.0.Std.DTreeMap.Internal.Impl.minKey?_insertIfNew_le_minKey?._simp_1_1
Std.Data.DTreeMap.Internal.Lemmas
[ "Ord", "Ordering", "Ordering.eq", "Ord.compare", "Bool.true", "BEq.beq", "propext", "Bool", "Std.LawfulBEqOrd", "BEq", "Eq", "Std.LawfulBEqOrd.compare_eq_iff_beq" ]
false
Perfection.instCommMonoid
Mathlib.RingTheory.Perfection
[ "Mul.mk", "Perfection.instCommMonoid._proof_6", "One.mk", "Perfection", "Perfection.instCommMonoid._aux_1", "Perfection.instCommMonoid._proof_11", "Perfection.instCommMonoid._proof_12", "Semigroup.mk", "Monoid.mk", "Perfection.instCommMonoid._proof_10", "Monoid.toPow", "Perfection.instCommMono...
true
_private.Init.Data.String.Lemmas.Pattern.String.Basic.0.String.Slice.Pattern.Model.ForwardSliceSearcher.isLongestRevMatchAt_iff._simp_1_1
Init.Data.String.Lemmas.Pattern.String.Basic
[ "String.instLEPos_1", "String.Slice.Pattern.Model.isLongestRevMatchAt_iff", "String.Slice", "Exists", "LE.le", "String.Slice.Pos.sliceTo", "propext", "String.Slice.Pattern.Model.PatternModel", "String.Slice.Pos", "String.Slice.Pattern.Model.IsLongestRevMatch", "Eq", "String.Slice.Pattern.Model...
false
Finite.equivFinOfCardEq
Mathlib.SetTheory.Cardinal.NatCard
[ "Finite", "Equiv", "Nat.card", "Finite.equivFin", "Nat", "Eq.ndrec", "Fin", "Eq" ]
true
NonUnitalSubring.center.instNonUnitalCommRing._proof_11
Mathlib.RingTheory.NonUnitalSubring.Basic
[ "NonUnitalSubring.center.instNonUnitalCommRing._proof_1", "NonUnitalNonAssocRing", "NonUnitalSubring.instSetLike", "HMul.hMul", "AddMonoid.toZero", "NonUnitalSubring", "Membership.mem", "NonUnitalNonAssocSemiring.toMul", "Subtype", "NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring", "NonUnitalS...
false
_private.Mathlib.CategoryTheory.Generator.Basic.0.CategoryTheory.ObjectProperty.IsCoseparating.of_equivalence._simp_1_1
Mathlib.CategoryTheory.Generator.Basic
[ "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Functor.map", "CategoryTheory.Functor.map_comp_assoc", "CategoryTheory.CategoryStruct.comp", "CategoryTheory.Category.toCategoryStruct", "Eq.symm", "Eq", "CategoryTheory.Functor.obj", "CategoryTheor...
false
_private.Lean.Meta.Tactic.Grind.Arith.Cutsat.MBTC.0.Lean.Meta.Grind.Arith.Cutsat.isNonlinearTerm
Lean.Meta.Tactic.Grind.Arith.Cutsat.MBTC
[ "Pure.pure", "Option.isNone", "Lean.Meta.Grind.GrindM", "Unit.unit", "Lean.Meta.Grind.Goal", "Lean.Expr.isApp", "StateRefT'.instAlternativeOfMonad", "Lean.Meta.Grind.State", "ReaderT", "Lean.Meta.State", "Lean.Expr.cleanupAnnotations", "instMonadLiftT", "Lean.Meta.Sym.Context", "ReaderT.in...
true
WithTop.le_coe_iff
Mathlib.Order.WithBot
[ "WithTop.coe_inj", "congrArg", "WithTop.le_iff_forall", "Exists", "forall_eq'", "LE.le", "WithTop.some", "LE", "iff_self", "And", "Iff", "implies_congr", "True", "propext", "of_eq_true", "Eq.refl", "congrFun'", "Eq", "WithTop.instLE", "Eq.trans", "WithTop", "forall_congr" ]
true
LinearOrder.supClosed._simp_2
Mathlib.Order.SupClosed
[ "Lattice.toSemilatticeSup", "LinearOrder", "DistribLattice.toLattice", "SupClosed", "True", "eq_true", "LinearOrder.supClosed", "Eq", "instDistribLatticeOfLinearOrder", "Set" ]
false
Option.bind.match_1
Init.Data.Option.Basic
[ "Option.casesOn", "Option.some", "Option.none", "Option" ]
false
IsNowhereDense.closure
Mathlib.Topology.GDelta.Basic
[ "Eq.mpr", "congrArg", "id", "TopologicalSpace", "closure", "interior", "closure_closure", "Set.instEmptyCollection", "EmptyCollection.emptyCollection", "IsNowhereDense", "Eq", "IsNowhereDense.eq_1", "Set" ]
true
CategoryTheory.SimplicialObject.Homotopy.h_succ_comp_δ_castSucc_succ_assoc
Mathlib.AlgebraicTopology.SimplicialObject.Homotopy
[ "CategoryTheory.Category.assoc", "Opposite", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "Fin.succ", "congrArg", "CategoryTheory.Functor.category", "Eq.mp", "id", "CategoryTheory.SimplicialObject.Homotopy.h", "Mathlib.Tactic.Reassoc.eq_whisker'", "instOfNatNat", "CategoryTheory.S...
true
CategoryTheory.Functor.PreservesEffectiveEpis.recOn
Mathlib.CategoryTheory.EffectiveEpi.Preserves
[ "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Functor.PreservesEffectiveEpis.rec", "CategoryTheory.Functor.map", "CategoryTheory.Category.toCategoryStruct", "CategoryTheory.EffectiveEpi", "CategoryTheory.Functor.PreservesEffectiveEpis.mk", "Categor...
false
Real.«term√_»
Mathlib.Analysis.Real.Sqrt
[ "instOfNatNat", "Lean.ParserDescr.binary", "Lean.ParserDescr", "Lean.ParserDescr.node", "Nat", "Lean.ParserDescr.symbol", "Lean.Name.mkStr2", "Lean.ParserDescr.cat", "OfNat.ofNat", "Lean.Name.mkStr1" ]
true