name
stringlengths
2
347
module
stringlengths
6
90
deps
listlengths
0
692
allowCompletion
bool
2 classes
LinearMap.IsProj.top
Mathlib.LinearAlgebra.Projection
[ "LinearMap.id", "Submodule", "trivial", "LinearMap.instFunLike", "LinearMap.IsProj.mk", "Membership.mem", "Submodule.instTop", "LinearMap.IsProj", "LinearMap", "AddCommMonoid", "congrFun", "Submodule.setLike", "Semiring", "Module", "Top.top", "RingHom.id", "Semiring.toNonAssocSemirin...
true
Set.Infinite.exists_ne_map_eq_of_mapsTo
Mathlib.Data.Set.Finite.Basic
[ "Mathlib.Tactic.Push.not_exists._simp_1", "Eq.mpr", "Mathlib.Tactic.Push.not_and_eq", "Set.Finite", "Membership.mem", "Exists", "Set.not_finite._simp_1", "id", "Ne", "Mathlib.Tactic.Contrapose.contrapose₁", "And", "Set.MapsTo", "binderNameHint", "implies_congr", "Iff.mp", "Eq.refl", ...
true
TopologicalGroup.IsSES.pullback.eq_1
Mathlib.MeasureTheory.Measure.Haar.Extension
[ "MonoidHom", "Monoid.toMulOneClass", "CompactlySupportedContinuousMap", "PseudoMetricSpace.toUniformSpace", "Group", "TopologicalGroup.IsSES.isClosedEmbedding", "CompactlySupportedContinuousMap.pullback_monoidHom", "IsTopologicalGroup.toContinuousMul", "DivInvMonoid.toMonoid", "SubtractionMonoid.t...
true
CategoryTheory.Limits.PreservesBinaryBiproduct.mk
Mathlib.CategoryTheory.Limits.Preserves.Shapes.Biproducts
[ "CategoryTheory.Limits.HasZeroMorphisms", "CategoryTheory.Functor", "CategoryTheory.Limits.PreservesBinaryBiproduct.mk", "CategoryTheory.Functor.mapBinaryBicone", "CategoryTheory.Limits.PreservesBinaryBiproduct", "CategoryTheory.Limits.BinaryBicone", "Nonempty", "CategoryTheory.Limits.BinaryBicone.IsB...
true
IsDiscreteValuationRing.toIsLocalRing
Mathlib.RingTheory.DiscreteValuationRing.Basic
[ "IsDomain", "CommRing", "CommSemiring.toSemiring", "IsDiscreteValuationRing", "IsLocalRing", "CommRing.toCommSemiring" ]
true
AlgebraicGeometry.Scheme.IdealSheafData.vanishingIdeal._proof_2
Mathlib.AlgebraicGeometry.IdealSheaf.Basic
[ "IsLocalization.map_radical", "AlgebraicGeometry.IsAffineOpen.isLocalization_of_eq_basicOpen", "Eq.mpr", "Submodule", "RingHom.instRingHomClass", "AlgebraicGeometry.IsAffineOpen.map_fromSpec", "SetLike.mem_coe._simp_1", "AlgebraicGeometry.Spec", "AlgebraicGeometry.SheafedSpace.instTopologicalSpaceCa...
false
CompactlySupportedContinuousMap.compNonUnitalAlgHom._proof_1
Mathlib.Topology.ContinuousMap.CompactlySupported
[ "instHSMul", "DistribMulAction.toDistribSMul", "CompactlySupportedContinuousMap", "IsTopologicalSemiring", "CompactlySupportedContinuousMap.instNonUnitalNonAssocSemiringOfIsTopologicalSemiring._proof_5", "CompactlySupportedContinuousMap.instModuleOfContinuousConstSMul", "AddMonoid.toAddZeroClass", "Co...
false
MeasureTheory.Measure.integral_comp_smul
Mathlib.MeasureTheory.Measure.Haar.NormedSpace
[ "instWeaklyLocallyCompactSpaceOfLocallyCompactSpace", "Nontrivial", "Iff.mpr", "AddGroup.toSubtractionMonoid", "MeasurableEquiv.instEquivLike", "Real.instIsOrderedRing", "Eq.mpr", "GroupWithZero.toMonoidWithZero", "locallyCompact_of_proper", "MulOne.toOne", "Units.instMulAction", "Real", "in...
true
AddOpposite.instPartialOrder
Mathlib.Algebra.Order.Group.Opposite
[ "AddOpposite", "PartialOrder", "AddOpposite.unop", "AddOpposite.unop_injective", "PartialOrder.lift" ]
true
Module.Basis.groupSMul_span_eq_top
Mathlib.LinearAlgebra.Basis.SMul
[ "Eq.mpr", "NonAssocSemiring.toAddCommMonoidWithOne", "Submodule", "MulOne.toOne", "DivInvMonoid.toInv", "instHSMul", "eq_top_iff", "DivInvOneMonoid.toInvOneClass", "Monoid.toMulOneClass", "congrArg", "DistribMulAction.toDistribSMul", "IsScalarTower", "SMul", "AddMonoid.toAddZeroClass", "...
true
BooleanAlgebra.ofRegular._proof_6
Mathlib.Order.Heyting.Regular
[ "Lattice.toSemilatticeSup", "PartialOrder.toPreorder", "Preorder.toLE", "LE.le", "GeneralizedHeytingAlgebra.toLattice", "HeytingAlgebra.toGeneralizedHeytingAlgebra", "Lattice.le_inf", "Lattice.inf", "SemilatticeSup.toPartialOrder", "HeytingAlgebra" ]
false
Std.HashMap.getKey_insertManyIfNewUnit_list_of_not_mem_of_mem
Std.Data.HashMap.Lemmas
[ "Std.HashMap.getKey", "List.Pairwise", "instForInOfForIn'", "Membership.mem", "inferInstance", "Std.HashMap", "Std.DHashMap.Const.getKey_insertManyIfNewUnit_list_of_not_mem_of_mem", "Id", "Membership", "LawfulHashable", "Bool.true", "List", "BEq.beq", "Unit", "EquivBEq", "List.instMemb...
true
List.reverse_perm'._simp_1
Mathlib.Data.List.Basic
[ "List.Perm", "List.reverse_perm'", "List", "propext", "List.reverse", "Eq" ]
false
_private.Lean.Elab.Tactic.BVDecide.Frontend.Normalize.Simproc.0.Lean.Elab.Tactic.BVDecide.Frontend.Normalize.cond_simplify.match_1
Lean.Elab.Tactic.BVDecide.Frontend.Normalize.Simproc
[ "_private.Lean.Elab.Tactic.BVDecide.Frontend.Normalize.Simproc.0.Lean.Elab.Tactic.BVDecide.Frontend.Normalize.cond_simplify._sparseCasesOn_2", "Nat.hasNotBit", "Lean.Level", "List.cons", "List", "_private.Lean.Elab.Tactic.BVDecide.Frontend.Normalize.Simproc.0.Lean.Elab.Tactic.BVDecide.Frontend.Normalize.c...
false
_private.Lean.Meta.LetToHave.0.Lean.Meta.LetToHave.Context.check
Lean.Meta.LetToHave
[ "Bool.not", "_private.Lean.Meta.LetToHave.0.Lean.Meta.LetToHave.Context", "Lean.FVarId", "_private.Lean.Meta.LetToHave.0.Lean.Meta.LetToHave.Context.letFVars", "List.isEmpty", "Bool" ]
true
nonemptyFinLinOrdDualCompForgetToFinPartOrd._proof_2
Mathlib.Order.Category.NonemptyFinLinOrd
[ "OrderHom.id", "FinPartOrd.dual", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "FinPartOrd.concreteCategory", "PartialOrder.toPreorder", "CategoryTheory.Functor.comp", "LinOrd.carrier", "SemilatticeInf.toPartialOrder", "LinOrd.str", "DistribLattice.toLattice", "id", "FinPartOrd.is...
false
instSeparatingDual
Mathlib.Analysis.LocallyConvex.SeparatingDual
[ "NormedCommRing.toNormedRing", "NormedCommRing.toSeminormedCommRing", "False", "Real.partialOrder", "Real", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "AddMonoidHom.instAddMonoidHomClass", "Semiring.toModule", "NormedRing.toRing", "NormedSpace.toIsBoundedSMul", "RCLike.toNormedAlgebra", ...
true
Monoid.CoprodI.NeWord.mulHead.eq_1
Mathlib.GroupTheory.CoprodI
[ "Monoid.CoprodI.NeWord.mulHead", "Monoid", "MulOne.toOne", "HMul.hMul", "Monoid.CoprodI.NeWord", "Monoid.toMulOneClass", "MulOne.toMul", "Ne", "MulOneClass.toMulOne", "Monoid.CoprodI.NeWord.replaceHead", "One.toOfNat1", "Eq.refl", "Monoid.CoprodI.NeWord.head", "OfNat.ofNat", "Eq", "ins...
true
_private.Std.Data.DTreeMap.Internal.Lemmas.0.Std.DTreeMap.Internal.Impl.Const.forM_eq_forM_toList._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
Real.sInf_smul_of_nonpos
Mathlib.Data.Real.Pointwise
[ "Eq.mpr", "bddBelow_smul_iff_of_neg", "IsOrderedModule.toPosSMulMono", "Real.sSup_empty", "LE.le.eq_or_lt", "Real.partialOrder", "Real.instLE", "Real", "instHSMul", "Preorder.toLT", "csInf_singleton", "Real.sInf_of_not_bddBelow", "Real.instZero", "OrderIso.smulRightDual", "Real.instAddMo...
true
TotalComplexShapeSymmetry.symmetry._proof_3
Mathlib.Algebra.Homology.ComplexShapeSigns
[ "Prod.mk", "ComplexShape", "ComplexShape.π_symm", "TotalComplexShapeSymmetry", "ComplexShape.π", "TotalComplexShape", "Eq.symm", "Eq" ]
false
Nat.Linear.PolyCnstr._sizeOf_1
Init.Data.Nat.Linear
[ "Nat.Linear.PolyCnstr.rec", "Nat.Linear.Poly", "instOfNatNat", "instHAdd", "Nat.Linear.Var", "HAdd.hAdd", "Nat", "List._sizeOf_inst", "SizeOf.sizeOf", "Bool", "instAddNat", "instSizeOfNat", "Prod._sizeOf_inst", "Prod", "OfNat.ofNat", "Bool._sizeOf_inst", "Nat.Linear.PolyCnstr" ]
false
Part.neg_def
Mathlib.Data.Part
[ "Part", "Part.instNeg", "Neg", "Eq", "Neg.neg", "rfl", "Part.map" ]
true
DiscreteConvolution.convolution.eq_1
Mathlib.Topology.Algebra.InfiniteSum.DiscreteConvolution
[ "Monoid", "CommSemiring.toSemiring", "LinearMap.instFunLike", "Membership.mem", "Set.Elem", "LinearMap.module", "LinearMap", "Prod.fst", "AddCommMonoid", "CommSemiring", "TopologicalSpace", "tsum", "DiscreteConvolution.convolution", "LinearMap.addCommMonoid", "Eq.refl", "DiscreteConvol...
true
Lean.Meta.Grind.SplitSource.forallProp.sizeOf_spec
Lean.Meta.Tactic.Grind.Types
[ "Lean.Expr", "instOfNatNat", "Lean.Meta.Grind.SplitSource._sizeOf_inst", "Lean.Meta.Grind.SplitSource", "instHAdd", "HAdd.hAdd", "Nat", "SizeOf.sizeOf", "instAddNat", "Eq.refl", "OfNat.ofNat", "Eq", "Lean.Meta.Grind.SplitSource.forallProp", "Lean.Expr._sizeOf_inst" ]
true
WithTop.instInfSet
Mathlib.Order.ConditionallyCompleteLattice.Basic
[ "instDecidableNot", "WithTop.instPreorder", "Classical.propDecidable", "Preorder.toLE", "InfSet.mk", "InfSet", "Set.instSingletonSet", "HasSubset.Subset", "WithTop.some", "WithTop.top", "Set.preimage", "BddBelow", "Or", "Top.top", "Singleton.singleton", "instDecidableOr", "Not", "I...
true
Matroid.ground_eq_empty_iff
Mathlib.Combinatorics.Matroid.Constructions
[ "Eq.mpr", "Matroid.mk", "congrArg", "Matroid.E", "Matroid.emptyOn._proof_2", "Matroid.Indep", "id", "Matroid.emptyOn", "HasSubset.Subset", "_private.Mathlib.Combinatorics.Matroid.Constructions.0.Matroid.ground_eq_empty_iff._simp_1_3", "Matroid.emptyOn._proof_4", "iff_self", "Matroid.emptyOn....
true
_private.Lean.DocString.Add.0.Lean.makeDocStringVerso.match_4
Lean.DocString.Add
[ "Lean.VersoDocString", "Option.ctorIdx", "String", "Option.some", "Sum", "Nat.hasNotBit", "_private.Lean.DocString.Add.0.Lean.validateDocComment._sparseCasesOn_1", "Option" ]
false
Lean.Meta.Grind.Arith.Linear.MonadGetStruct.mk
Lean.Meta.Tactic.Grind.Arith.Linear.LinearM
[ "Lean.Meta.Grind.Arith.Linear.MonadGetStruct.mk", "Lean.Meta.Grind.Arith.Linear.Struct", "Lean.Meta.Grind.Arith.Linear.MonadGetStruct" ]
true
Nat.Prime.primeFactors
Mathlib.Data.Nat.PrimeFin
[ "Nat.Prime", "congrArg", "Finset", "Nat.primeFactorsList_prime", "Insert.insert", "List.toFinset", "Finset.instEmptyCollection", "Finset.instInsert", "List.cons", "List", "Finset.instLawfulSingleton", "LawfulSingleton.insert_empty_eq", "Nat", "True", "eq_self", "of_eq_true", "List.to...
true
Real.log._proof_1
Mathlib.Analysis.SpecialFunctions.Log.Basic
[ "Iff.mpr", "AddGroup.toSubtractionMonoid", "Real", "Preorder.toLT", "Real.instZero", "abs", "PartialOrder.toPreorder", "SemilatticeInf.toPartialOrder", "DistribLattice.toLattice", "Real.instAddGroup", "Ne", "SubtractionMonoid.toSubNegZeroMonoid", "SubNegZeroMonoid.toNegZeroClass", "abs_pos...
false
AlgebraicGeometry.IsSeparated.comp_iff
Mathlib.AlgebraicGeometry.Morphisms.Separated
[ "AlgebraicGeometry.Scheme", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "AlgebraicGeometry.IsSeparated.of_comp", "inferInstance", "Iff", "AlgebraicGeometry.IsSeparated.instCompScheme", "Iff.intro", "CategoryTheory.CategoryStruct.comp", "CategoryTheory.Category.toCategoryStruct", "Alg...
true
AddOpposite.instDivisionRing._proof_6
Mathlib.Algebra.Field.Opposite
[ "Nontrivial", "DivisionRing.toDivisionSemiring", "AddOpposite", "DivisionSemiring.toNontrivial", "DivisionRing", "AddOpposite.instDivisionSemiring" ]
false
CategoryTheory.FreeMonoidalCategory.HomEquiv.pentagon
Mathlib.CategoryTheory.Monoidal.Free.Basic
[ "CategoryTheory.FreeMonoidalCategory.HomEquiv", "CategoryTheory.FreeMonoidalCategory.HomEquiv.pentagon", "CategoryTheory.FreeMonoidalCategory.Hom.whiskerLeft", "CategoryTheory.FreeMonoidalCategory.Hom.α_hom", "CategoryTheory.FreeMonoidalCategory", "CategoryTheory.FreeMonoidalCategory.Hom.comp", "Categor...
true
Std.DTreeMap.Internal.Impl.getD_insertMany!_list_of_mem
Std.Data.DTreeMap.Internal.Lemmas
[ "Std.DTreeMap.Internal.Impl.getD.congr_simp", "Std.DTreeMap.Internal.Impl.SizedBalancedTree.impl", "List.Pairwise", "Ord", "congrArg", "instForInOfForIn'", "Std.DTreeMap.Internal.Impl.insert!", "Std.DTreeMap.Internal.Impl.get?_insertMany_list_of_mem._proof_1", "Std.TransOrd", "Std.DTreeMap.Interna...
true
IsAddUnit.of_nsmul_eq_zero
Mathlib.Algebra.Group.Commute.Units
[ "instHSMul", "AddMonoid.toAddZeroClass", "AddMonoid.toNSMul", "AddZeroClass.toAddZero", "AddUnits.isAddUnit", "Ne", "instOfNatNat", "IsAddUnit", "AddUnits.ofNSMulEqZero", "AddZero.toZero", "Nat", "AddMonoid", "Zero.toOfNat0", "HSMul.hSMul", "OfNat.ofNat", "Eq" ]
true
CategoryTheory.MorphismProperty.instRespectsIsoArrowArrow
Mathlib.CategoryTheory.MorphismProperty.Basic
[ "CategoryTheory.MorphismProperty", "CategoryTheory.MorphismProperty.RespectsIso.postcomp", "CategoryTheory.MorphismProperty.RespectsIso.precomp", "CategoryTheory.Comma.right", "CategoryTheory.IsIso", "CategoryTheory.MorphismProperty.Respects.mk", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom",...
true
_private.Std.Sync.Channel.0.Std.CloseableChannel.Zero.trySend'
Std.Sync.Channel
[ "Pure.pure", "Unit.unit", "_private.Std.Sync.Channel.0.Std.CloseableChannel.Consumer.resolve", "_private.Std.Sync.Channel.0.Std.CloseableChannel.Consumer", "IO.instMonadLiftSTRealWorldBaseIO", "Monad.toApplicative", "instMonadLiftT", "MonadState.get", "_private.Std.Sync.Channel.0.Std.CloseableChanne...
true
ContinuousLinearMap.setIntegral_compLp
Mathlib.MeasureTheory.Integral.Bochner.ContinuousLinearMap
[ "MeasureTheory.ae", "Real", "MeasureTheory.Measure", "MeasurableSet", "NormedSpace", "AddCommGroup.toAddCommMonoid", "MeasureTheory.AEEqFun.cast", "ContinuousLinearMap.funLike", "MeasureTheory.setIntegral_congr_ae", "NormedSpace.toModule", "PseudoMetricSpace.toUniformSpace", "AddCommGroup.toAd...
true
Valuation.instFunLike
Mathlib.RingTheory.Valuation.Basic
[ "DFunLike.mk", "ZeroHom.toFun", "Valuation.instFunLike._proof_1", "MonoidWithZeroHom.toZeroHom", "CommMonoidWithZero.toMonoidWithZero", "LinearOrderedCommMonoidWithZero.toCommMonoidWithZero", "instMulZeroOneClassOfSemiring", "MonoidWithZero.toMulZeroOneClass", "Valuation.toMonoidWithZeroHom", "Lin...
true
RingQuot.definition._@.Mathlib.Algebra.RingQuot.3469094938._hygCtx._hyg.2
Mathlib.Algebra.RingQuot
[ "RingQuot.definition._proof_1._@.Mathlib.Algebra.RingQuot.3469094938._hygCtx._hyg.2", "MulOne.toOne", "RingHom.mk", "OneHom.mk", "RingHom", "RingQuot.instSemiring", "RingQuot.definition._proof_2._@.Mathlib.Algebra.RingQuot.3469094938._hygCtx._hyg.2", "RingQuot.Rel", "RingQuot", "MonoidHom.mk", "...
false
Prefunctor.costar_snd
Mathlib.Combinatorics.Quiver.Covering
[ "Quiver.Hom", "Prefunctor.costar", "Sigma.fst", "Prefunctor.map", "Prefunctor", "Quiver", "Eq.refl", "Quiver.Costar", "Sigma.snd", "Eq", "Prefunctor.obj" ]
true
Algebra.Presentation.relation_mem_ker
Mathlib.RingTheory.Extension.Presentation.Basic
[ "Algebra.Generators.ker", "Eq.mpr", "Ideal.subset_span", "Nat.instMulZeroClass", "AddMonoidAlgebra.semiring", "CommRing", "Algebra.Generators.Ring", "Semiring.toModule", "congrArg", "CommSemiring.toSemiring", "Finsupp.instAddMonoid", "Algebra", "Nat.instAddMonoid", "Membership.mem", "id"...
true
_private.Mathlib.Tactic.Ring.Compare.0.Mathlib.Tactic.Ring.proveLE.match_1
Mathlib.Tactic.Ring.Compare
[ "Lean.Expr", "Nat.hasNotBit", "Lean.Expr.sort", "Lean.Level", "Lean.Expr.ctorIdx", "_private.Mathlib.Tactic.Ring.Compare.0.Mathlib.Tactic.Ring.proveLE._sparseCasesOn_1" ]
false
groupHomology.cycles₁_eq_top_of_isTrivial
Mathlib.RepresentationTheory.Homological.GroupHomology.LowDegree
[ "ModuleCat.hom_zero", "Eq.mpr", "Submodule", "Rep.V", "CommRing", "Finsupp.module", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "ModuleCat", "Rep.IsTrivial", "congrArg", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "Rep.hV2", "LinearMap.ker", "Group", "Rep.h...
true
MeasureTheory.OuterMeasure.coe_iSup
Mathlib.MeasureTheory.OuterMeasure.Operations
[ "congrArg", "iSup", "MeasureTheory.OuterMeasure.instSupSet", "MeasureTheory.OuterMeasure", "ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice", "funext", "CompleteLinearOrder.toConditionallyCompleteLinearOrderBot", "MeasureTheory.OuterMeasure.instFunLikeSetENNReal", "congr", "True", ...
true
Equiv.mul_swap_eq_iff
Mathlib.Algebra.Group.End
[ "Eq.mpr", "MulOne.toOne", "HMul.hMul", "Equiv.Perm.instOne", "Monoid.toMulOneClass", "congrArg", "Iff.rfl", "CancelMonoid.toLeftCancelMonoid", "Equiv.swap_eq_one_iff", "Equiv.swap", "LeftCancelSemigroup.toIsLeftCancelMul", "LeftCancelMonoid.toLeftCancelSemigroup", "id", "MulOne.toMul", "...
true
LinOrd.Iso.mk_hom
Mathlib.Order.Category.LinOrd
[ "LinOrd.of", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "PartialOrder.toPreorder", "LinOrd.carrier", "Preorder.toLE", "SemilatticeInf.toPartialOrder", "LinOrd.str", "DistribLattice.toLattice", "OrderIso", "LinOrd.Iso.mk._proof_1", "LinOrd", "LinOrd.instCategory", "instFunLikeO...
true
_private.Mathlib.GroupTheory.SpecificGroups.Quaternion.0.instDecidableEqQuaternionGroup.decEq.match_1.splitter
Mathlib.GroupTheory.SpecificGroups.Quaternion
[ "HMul.hMul", "instMulNat", "instOfNatNat", "ZMod", "QuaternionGroup", "QuaternionGroup.a", "Nat", "instDecidableEqQuaternionGroup.decEq.match_1", "QuaternionGroup.xa", "OfNat.ofNat", "instHMul" ]
true
DFinsupp.mapRange_injective
Mathlib.Data.DFinsupp.Defs
[ "Eq.mpr", "DFinsupp.ext", "congrArg", "DFinsupp.single", "Classical.propDecidable", "DFinsupp.mapRange_single", "DFinsupp.single_injective", "DFinsupp.instDFunLike", "id", "DFinsupp.mapRange", "congr_arg", "Iff", "congr", "Iff.intro", "Zero.toOfNat0", "DFinsupp", "Function.Injective"...
true
NumberField.mixedEmbedding.fundamentalCone.expMap_single._proof_5
Mathlib.NumberTheory.NumberField.CanonicalEmbedding.NormLeOne
[ "Real", "Set.univ", "PseudoMetricSpace.toUniformSpace", "isOpen_univ", "Real.pseudoMetricSpace", "IsOpen", "UniformSpace.toTopologicalSpace" ]
false
_private.Mathlib.Analysis.Convolution.0.MeasureTheory.support_convolution_subset_swap._simp_1_3
Mathlib.Analysis.Convolution
[ "Exists", "not_exists", "propext", "Eq", "Not" ]
false
RingEquiv.coe_toRingHom
Mathlib.Algebra.Ring.Equiv
[ "RingEquiv.instEquivLike", "RingEquiv.instRingEquivClass", "RingHom", "Distrib.toAdd", "NonAssocSemiring", "RingHom.instFunLike", "Distrib.toMul", "RingHomClass.toRingHom", "NonAssocSemiring.toNonUnitalNonAssocSemiring", "NonUnitalNonAssocSemiring.toDistrib", "RingEquiv", "RingEquivClass.toRin...
true
_private.Mathlib.Data.Set.SymmDiff.0.Set.symmDiff_union_subset._proof_1_1
Mathlib.Data.Set.SymmDiff
[ "Set.mem_union", "Lean.Grind.eq_false_of_not_eq_true", "False", "Lean.Grind.and_eq_of_eq_true_right", "Lattice.toSemilatticeSup", "eq_false", "Lean.Grind.iff_eq", "Set.subset_def", "False.elim", "Set.mem_symmDiff", "Classical.byContradiction", "Lean.Grind.and_eq_of_eq_true_left", "Lean.Grind...
false
CategoryTheory.ShortComplex.Homotopy.unop._proof_5
Mathlib.Algebra.Homology.ShortComplex.Preadditive
[ "Opposite", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.ShortComplex.Hom.τ₁", "AddCommGroup.toAddCommMonoid", "Quiver.Hom.op_inj", "CategoryTheory.ShortComplex", "CategoryTheory.ShortComplex.X₁", "Quiver.Hom.unop", "CategoryTheory.ShortComplex.Homotopy", "CategoryTheo...
false
TopologicalSpace.UpgradedIsCompletelyPseudoMetrizableSpace.ctorIdx
Mathlib.Topology.Metrizable.CompletelyMetrizable
[ "TopologicalSpace.UpgradedIsCompletelyPseudoMetrizableSpace", "Nat" ]
false
CompletePartialOrder.ofLubOfDirected
Mathlib.Order.CompletePartialOrder
[ "PartialOrder.toPreorder", "Preorder.toLE", "DirectedOn", "CompletePartialOrder.ofLubOfDirected._proof_1", "PartialOrder", "SupSet", "LE.le", "OrderBot.mk", "IsLUB", "Set.instEmptyCollection", "EmptyCollection.emptyCollection", "Bot.mk", "SupSet.sSup", "CompletePartialOrder.mk", "Complet...
true
Rat.toNNRat_div
Mathlib.Data.NNRat.Lemmas
[ "Rat.instOfNat", "Eq.mpr", "Rat.toNNRat_mul", "Rat.instMul", "DivInvMonoid.toInv", "NNRat.instInv", "instHDiv", "HMul.hMul", "GroupWithZero.toDivInvMonoid", "Monoid.toMulOneClass", "congrArg", "CommSemiring.toSemiring", "NNRat.instSemifield", "Rat", "DivisionSemiring.toGroupWithZero", ...
true
Std.Http.Internal.ChunkedBuffer.recOn
Std.Internal.Http.Internal.ChunkedBuffer
[ "Std.Http.Internal.ChunkedBuffer.mk", "Std.Http.Internal.ChunkedBuffer.rec", "Array", "Nat", "ByteArray", "Std.Http.Internal.ChunkedBuffer" ]
false
Lean.Lsp.ResolvableCompletionList.mk._flat_ctor
Lean.Data.Lsp.LanguageFeatures
[ "Lean.Lsp.ResolvableCompletionList.mk", "Array", "Bool", "Lean.Lsp.ResolvableCompletionItem", "Lean.Lsp.ResolvableCompletionList" ]
false
RingCon.kerLiftₐ_injective
Mathlib.RingTheory.Congruence.Hom
[ "AlgHom", "AlgHom.funLike", "Algebra", "RingCon.ker", "Distrib.toAdd", "RingCon.instSemiringQuotient", "RingCon.Quotient", "RingCon.kerLiftₐ", "CommSemiring", "RingCon.instAlgebraQuotient", "Distrib.toMul", "RingCon.kerLift_injective", "AlgHom.toRingHom", "NonAssocSemiring.toNonUnitalNonAs...
true
differentiableAt_comp_add_right
Mathlib.Analysis.Calculus.FDeriv.Add
[ "HasFDerivAt", "NormedSpace", "congrArg", "AddCommGroup.toAddCommMonoid", "DifferentiableAt", "NormedSpace.toModule", "PseudoMetricSpace.toUniformSpace", "NormedField.toField", "Exists", "Field.toSemifield", "ContinuousLinearMap", "iff_self", "funext", "instHAdd", "Iff", "_private.Math...
true
Qq._aux_Qq_Macro___unexpand_Qq_QuotedDefEq_1
Qq.Macro
[ "Pure.pure", "cond", "Lean.TSyntax", "Unit.unit", "Lean.MonadRef.mkInfoFromRefPos", "instMonadExceptOfMonadExceptOf", "Lean.SourceInfo", "Lean.PrettyPrinter.UnexpandM", "MonadExcept.throw", "Lean.Syntax.isOfKind", "EStateM.instMonad", "Lean.Syntax.atom", "Lean.TSyntax.mk", "Lean.Syntax", ...
false
Std.IterM.forM_eq_forIn
Init.Data.Iterators.Lemmas.Consumers.Monadic.Loop
[ "Pure.pure", "ForM.forM", "Monad.toApplicative", "Std.IterM.instForMOfIteratorLoop", "Std.IteratorLoop", "Std.Iterators.Finite", "LawfulMonad", "ForIn.forIn", "MonadLiftT", "Applicative.toPure", "ForInStep", "Std.Iterator", "PUnit", "Std.LawfulIteratorLoop", "Monad.toBind", "Std.IterM"...
true
_private.Lean.Elab.Quotation.0.Lean.Elab.Term.Quotation.compileStxMatch._sparseCasesOn_7
Lean.Elab.Quotation
[ "Nat.ne_of_beq_eq_false", "Nat.shiftRight", "Nat.hasNotBit", "instOfNatNat", "List.rec", "List.cons", "Nat.land", "List", "Nat", "Bool", "Eq.refl", "OfNat.ofNat", "Bool.false", "List.ctorIdx", "List.nil" ]
false
CategoryTheory.MonoidalCategory.InducedLawfulDayConvolutionMonoidalCategoryStructCore.fullyFaithulι
Mathlib.CategoryTheory.Monoidal.DayConvolution
[ "CategoryTheory.Functor", "CategoryTheory.MonoidalCategory.InducedLawfulDayConvolutionMonoidalCategoryStructCore.ι", "CategoryTheory.MonoidalCategory", "CategoryTheory.Functor.category", "CategoryTheory.MonoidalCategory.InducedLawfulDayConvolutionMonoidalCategoryStructCore", "CategoryTheory.Functor.FullyF...
true
Std.PRange.UpwardEnumerable.succ?_inj
Init.Data.Range.Polymorphic.UpwardEnumerable
[ "Std.PRange.UpwardEnumerable", "congrArg", "Std.PRange.LinearlyUpwardEnumerable", "Std.PRange.LinearlyUpwardEnumerable.eq_of_succ?_eq", "Std.PRange.UpwardEnumerable.succ?", "Iff", "Iff.intro", "Eq", "Option" ]
true
Subgroup.instCompleteLattice.eq_1
Mathlib.Algebra.Group.Subgroup.Lattice
[ "Lattice.toSemilatticeSup", "completeLatticeOfInf", "CompleteLattice.toLattice", "PartialOrder.toPreorder", "Group", "Preorder.toLE", "Membership.mem", "Subgroup", "CompleteLattice.toInfSet", "Subgroup.instCompleteLattice._proof_3", "OrderTop.mk", "Lattice.mk", "CompleteLattice.toSupSet", ...
true
Matrix.conjTranspose_zero
Mathlib.LinearAlgebra.Matrix.ConjTranspose
[ "congrArg", "Matrix", "AddMonoid.toAddZeroClass", "AddZeroClass.toAddZero", "StarAddMonoid.toInvolutiveStar", "AddZero.toZero", "star_zero", "True", "eq_self", "AddMonoid", "of_eq_true", "StarAddMonoid", "Zero.toOfNat0", "InvolutiveStar.toStar", "congrFun'", "implies_true", "OfNat.of...
true
Homeomorph.toOpenPartialHomeomorph_apply
Mathlib.Topology.OpenPartialHomeomorph.Defs
[ "OpenPartialHomeomorph.toFun'", "TopologicalSpace", "Homeomorph.instEquivLike", "Homeomorph", "Eq.refl", "Eq", "DFunLike.coe", "EquivLike.toFunLike", "Homeomorph.toOpenPartialHomeomorph" ]
true
IsMinOn.min
Mathlib.Order.Filter.Extr
[ "IsMinFilter.min", "LinearOrder", "PartialOrder.toPreorder", "SemilatticeInf.toPartialOrder", "DistribLattice.toLattice", "IsMinOn", "SemilatticeInf.toMin", "Filter.principal", "instDistribLatticeOfLinearOrder", "Min.min", "Lattice.toSemilatticeInf", "Set" ]
true
CategoryTheory.Join.mkNatTransComp._auto_1
Mathlib.CategoryTheory.Join.Basic
[ "Lean.Syntax.node", "Array.push", "Lean.Syntax", "Array.empty", "Lean.Name.mkStr2", "Lean.SourceInfo.none", "Lean.Name.mkStr1", "Lean.Name.mkStr4", "Lean.mkAtom" ]
false
Real.deriv_rpow_const
Mathlib.Analysis.SpecialFunctions.Pow.Deriv
[ "NormedCommRing.toNormedRing", "instDecidableNot", "NormedCommRing.toSeminormedCommRing", "Real.instPow", "Real.instLE", "Real", "Preorder.toLT", "Semiring.toModule", "NormedRing.toRing", "HMul.hMul", "_private.Mathlib.Analysis.SpecialFunctions.Pow.Deriv.0.Real.deriv_rpow_const._proof_1_1", "d...
true
Ideal.cotangentIdeal_square
Mathlib.RingTheory.Ideal.Cotangent
[ "Submodule.Quotient.eq", "Iff.mpr", "Ideal.Quotient.commSemiring", "Eq.mpr", "Submodule", "Submodule.addSubmonoidClass", "CommRing", "Ideal.cotangentIdeal", "instHSMul", "AddSubmonoidClass.toAddMemClass", "Semiring.toModule", "instSMulOfMul", "HMul.hMul", "pow_two", "IsScalarTower.right"...
true
String.copy_sliceFrom_eq_iff_exists_splits
Init.Data.String.Lemmas.Splits
[ "String.Pos.Splits", "String.toSlice", "_private.Init.Data.String.Lemmas.Splits.0.String.copy_sliceFrom_eq_iff_exists_splits._simp_1_2", "String.sliceFrom", "congrArg", "String", "String.Slice.sliceFrom", "String.Pos.toSlice", "Exists", "iff_self", "String.Slice.copy", "funext", "Iff", "_p...
true
CategoryTheory.Limits.prod.braiding_inv
Mathlib.CategoryTheory.Limits.Shapes.BinaryProducts
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Limits.prod.fst", "CategoryTheory.Limits.prod.snd", "CategoryTheory.Limits.HasBinaryProduct", "Eq.refl", "CategoryTheory.Category.toCategoryStruct", "CategoryTheory.Limits.prod.braiding", "Eq", "CategoryTheory.Iso.inv", "Cat...
true
Subtype.coe_inf._simp_1
Mathlib.Order.Lattice
[ "Subtype", "SemilatticeInf.toMin", "Subtype.semilatticeInf", "Subtype.coe_inf", "SemilatticeInf", "Eq.symm", "Subtype.val", "Eq", "Min.min" ]
false
Std.Iter.toArray_flatMap
Init.Data.Iterators.Lemmas.Combinators.FlatMap
[ "Pure.pure", "Array.instAppend", "Std.Iter.toArray_flatMapAfter", "Std.Iter.flatMapAfter", "Array.flatten", "Std.Iterators.Types.Flatten.instIterator", "congrArg", "Monad.toApplicative", "Std.Iterators.Types.Map.instIterator", "MonadLiftT.monadLift", "instMonadLiftT", "Std.Iter.toArray_map", ...
true
HomotopicalAlgebra.Cylinder.IsGood.cofibration_i
Mathlib.AlgebraicTopology.ModelCategory.Cylinder
[ "CategoryTheory.Limits.HasBinaryCoproduct", "HomotopicalAlgebra.Precylinder.I", "HomotopicalAlgebra.Cofibration", "HomotopicalAlgebra.Cylinder", "HomotopicalAlgebra.Cylinder.toPrecylinder", "HomotopicalAlgebra.CategoryWithWeakEquivalences", "HomotopicalAlgebra.Precylinder.i", "HomotopicalAlgebra.Categ...
true
Turing.TM2ComputableInPolyTime.mk.inj
Mathlib.Computability.TuringMachine.Computable
[ "Turing.FinTM2.k₀", "Polynomial.eval", "Turing.TM2ComputableAux.tm", "List.map", "Turing.TM2OutputsInTime", "Option.some", "Turing.TM2ComputableInPolyTime", "Turing.TM2ComputableInPolyTime.mk.noConfusion", "Polynomial", "List", "And", "Turing.TM2ComputableInPolyTime.mk", "Nat", "And.intro"...
true
_private.Mathlib.RingTheory.Spectrum.Prime.ChevalleyComplexity.0.ChevalleyThm.PolynomialC.InductionObj.powBound
Mathlib.RingTheory.Spectrum.Prime.ChevalleyComplexity
[ "CommRing", "Nat.instMonoid", "_private.Mathlib.RingTheory.Spectrum.Prime.ChevalleyComplexity.0.ChevalleyThm.PolynomialC.InductionObj.degBound", "Monoid.toPow", "_private.Mathlib.RingTheory.Spectrum.Prime.ChevalleyComplexity.0.ChevalleyThm.PolynomialC.InductionObj", "HPow.hPow", "Nat", "instHPow" ]
true
Set.Icc.semilatticeSup._proof_1
Mathlib.Order.LatticeIntervals
[ "le_sup_left", "PartialOrder.toPreorder", "Preorder.toLE", "Membership.mem", "SemilatticeSup.toMax", "LE.le", "And", "Set.Icc", "And.right", "And.left", "Max.max", "And.intro", "sup_le", "SemilatticeSup.toPartialOrder", "SemilatticeSup", "Set.instMembership", "le_trans", "Set" ]
false
CategoryTheory.eqToIso._proof_1
Mathlib.CategoryTheory.EqToHom
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.eqToHom", "CategoryTheory.CategoryStruct.id", "True", "eq_self", "CategoryTheory.CategoryStruct.comp", "of_eq_true", "CategoryTheory.Category.toCategoryStruct", "congrFun'", "Eq.symm", "Eq", "CategoryTheory...
false
ArchimedeanClass.instCommRingFiniteElement
Mathlib.Algebra.Order.Ring.StandardPart
[ "Ring.mk", "ArchimedeanClass.instCommRingFiniteElement._aux_8", "ArchimedeanClass.instCommRingFiniteElement._proof_6", "ArchimedeanClass.instCommRingFiniteElement._proof_31", "Mul.mk", "CommRing", "One.mk", "ArchimedeanClass.instCommRingFiniteElement._proof_36", "ArchimedeanClass.instCommRingFiniteE...
true
GradedLieAlgebra
Mathlib.Algebra.Lie.Graded
[ "LieAlgebra.toModule", "Submodule", "CommRing", "LieRing.toAddCommGroup", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "AddCommMonoid", "LieRing", "CommRing.toCommSemiring", "LieAlgebra", "GradedLieAlgebra.mk", "DecidableEq" ]
true
Aesop.Frontend.declareRuleSetUnchecked
Aesop.Frontend.Extension
[ "Functor.discard", "Lean.SimpleScopedEnvExtension", "IO.instMonadLiftSTRealWorldBaseIO", "Monad.toApplicative", "String", "ST.Ref.modify", "instMonadLiftT", "Std.HashSet", "IO", "Lean.registerSimpleScopedEnvExtension", "IO.RealWorld", "instDecidableEqBool", "Prod.mk", "Std.HashMap", "ins...
true
Matrix.permanent_zero
Mathlib.LinearAlgebra.Matrix.Permanent
[ "False", "Equiv.instEquivLike", "Finset.univ", "congrArg", "CommSemiring.toSemiring", "Matrix", "Finset", "AddMonoid.toAddZeroClass", "Membership.mem", "AddZeroClass.toAddZero", "Fintype.card", "Fintype.card_ne_zero._simp_1", "instOfNatNat", "Finset.prod_congr", "Finset.prod_const", "F...
true
Irrational.ratCast_sub
Mathlib.NumberTheory.Real.Irrational
[ "Eq.mpr", "Real", "congrArg", "Real.instSub", "AddMonoid.toAddZeroClass", "Real.instRatCast", "Rat", "Irrational.neg", "sub_eq_add_neg", "HSub.hSub", "AddZeroClass.toAddZero", "id", "Rat.cast", "Real.instAddGroup", "Irrational.ratCast_add", "instHAdd", "instHSub", "Irrational", "...
true
schnirelmannDensity_lt_iff
Mathlib.Combinatorics.Schnirelmann
[ "not_le", "Eq.mpr", "Real.instLE", "Real", "Preorder.toLT", "instHDiv", "le_schnirelmannDensity_iff", "congrArg", "Real.instDivInvMonoid", "PartialOrder.toPreorder", "schnirelmannDensity", "Real.instLT", "Preorder.toLE", "Nat.instLocallyFiniteOrder", "Membership.mem", "Exists", "id",...
true
GroupSeminormClass.toNonnegHomClass
Mathlib.Algebra.Order.Hom.Basic
[ "nsmul_nonneg_iff", "Eq.mpr", "MulOne.toOne", "instHSMul", "instHDiv", "InvOneClass.toOne", "DivInvOneMonoid.toInvOneClass", "Monoid.toMulOneClass", "congrArg", "GroupSeminormClass.map_one_eq_zero", "LinearOrder", "AddMonoid.toAddZeroClass", "PartialOrder.toPreorder", "Zero.ofOfNat0", "A...
true
SSet.stdSimplex.faceRepresentableBy._proof_2
Mathlib.AlgebraicTopology.SimplicialSet.StdSimplex
[ "OrderIso.monotone", "Opposite", "Equiv.instEquivLike", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "Finset", "PartialOrder.toPreorder", "CategoryTheory.Functor.category", "Preorder.toLE", "Membership.mem", "CategoryTheory.Subfunctor.obj", "SSet.stdSimplex.faceRepresentableBy._proo...
false
Std.DTreeMap.get?_insertMany_list_of_mem._proof_1
Std.Data.DTreeMap.Lemmas
[ "Std.LawfulEqCmp.compare_eq_iff_eq", "Ordering", "Eq.rec", "Ordering.eq", "Std.LawfulEqCmp", "Iff.mp", "Eq.refl", "Eq" ]
false
_private.Lean.Meta.DiscrTree.Basic.0.Lean.Meta.DiscrTree.insertVal.loop
Lean.Meta.DiscrTree.Basic
[ "Array.push", "Array.set", "InvImage", "HSub.hSub", "WellFounded.Nat.fix", "instDecidableEqBool", "instSubNat", "instOfNatNat", "dite", "Array", "GetElem.getElem", "Bool.true", "_private.Lean.Meta.DiscrTree.Basic.0.Lean.Meta.DiscrTree.insertVal.loop._proof_1", "instHAdd", "BEq.beq", "i...
true
Batteries.BinaryHeap.mk.noConfusion
Batteries.Data.BinaryHeap.Basic
[ "Batteries.BinaryHeap.noConfusion", "HEq.refl", "Batteries.BinaryHeap", "id", "Array", "heq_of_eq", "Batteries.BinaryHeap.mk", "Bool", "Eq.refl", "HEq", "Eq" ]
false
Array.cyclicPermute!.match_1
Mathlib.Data.Array.Defs
[ "List.cons", "Array", "List", "Nat", "List.casesOn", "List.nil" ]
false
ContinuousAddEquiv.coe_refl
Mathlib.Topology.Algebra.ContinuousMonoidHom
[ "ContinuousAddEquiv.instEquivLike", "ContinuousAddEquiv.refl", "id", "TopologicalSpace", "ContinuousAddEquiv", "Eq", "DFunLike.coe", "Add", "rfl", "EquivLike.toFunLike" ]
true
Lean.Compiler.LCNF.LitValue.nat.sizeOf_spec
Lean.Compiler.LCNF.Basic
[ "Lean.Compiler.LCNF.LitValue", "Lean.Compiler.LCNF.LitValue._sizeOf_inst", "instOfNatNat", "instHAdd", "HAdd.hAdd", "Nat", "SizeOf.sizeOf", "instAddNat", "Eq.refl", "instSizeOfNat", "Lean.Compiler.LCNF.LitValue.nat", "OfNat.ofNat", "Eq" ]
true
PFunctor.Approx.approx_eta
Mathlib.Data.PFunctor.Univariate.M
[ "PFunctor", "PFunctor.A", "HEq.refl", "False.elim", "PFunctor.B", "noConfusion_of_Nat", "PFunctor.Approx.CofixA.casesOn", "instOfNatNat", "PFunctor.Approx.CofixA.intro", "instHAdd", "PFunctor.Approx.CofixA", "HAdd.hAdd", "Nat", "eq_of_heq", "Eq.ndrec", "Nat.ctorIdx", "instAddNat", ...
true
_private.Lean.Meta.Match.Match.0.Lean.Meta.Match.hasIndependentPatterns.match_1
Lean.Meta.Match.Match
[ "Lean.Meta.Match.Pattern.as", "Lean.Meta.Match.Pattern.ctor", "Lean.Meta.Match.Pattern.val", "Lean.Expr", "Lean.FVarId", "Lean.Meta.Match.Pattern.var", "Lean.Level", "List", "Lean.Meta.Match.Pattern.casesOn", "Lean.Meta.Match.Pattern.inaccessible", "Lean.Name", "Lean.Meta.Match.Pattern.arrayLi...
false
_private.Mathlib.Tactic.Push.Attr.0.Mathlib.Tactic.Push.isPullThm._sparseCasesOn_1
Mathlib.Tactic.Push.Attr
[ "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