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Entity > Abstract > Class > Relation > BinaryRelation > UnaryFunction > PrincipalHostFn

PrincipalHostFn
subject			fact

PrincipalHostFn	documentation A UnaryFunction that maps a Hole to the Object which is its principal host. The principle host of a Hole is its maximally connected host (a notion taken here to be defined only when the argument is a hole)
	has axiom (=> (equal ?OBJ1 (PrincipalHostFn ?HOLE)) (forall (?OBJ2) (<=> (overlapsSpatially ?OBJ2 ?OBJ1) (exists (?OBJ3) (and (hole ?HOLE ?OBJ3) (instance ?OBJ3 SelfConnectedObject) (overlapsSpatially ?OBJ2 ?OBJ3))))))
	has axiom (=> (equal ?OBJ1 (SkinFn ?HOLE)) (forall (?OBJ2) (<=> (overlapsSpatially ?OBJ2 ?OBJ1) (exists (?OBJ3) (and (superficialPart ?OBJ3 (PrincipalHostFn ?HOLE)) (meetsSpatially ?HOLE ?OBJ3) (overlapsSpatially ?OBJ2 ?OBJ3))))))
	has domain1 Hole
	has range Object
	is an instance of SpatialRelation
	is an instance of UnaryFunction
Relation	is first domain of domain
	is first domain of domainSubclass
	is first domain of holds
	is first domain of subrelation
	is first domain of valence
	is second domain of subrelation
BinaryRelation	is first domain of DomainFn
	is first domain of equivalenceRelationOn
	is first domain of inverse
	is first domain of irreflexiveOn
	is first domain of partialOrderingOn
	is first domain of RangeFn
	is first domain of reflexiveOn
	is first domain of totalOrderingOn
	is first domain of trichotomizingOn
	is second domain of inverse
Function	is first domain of AssignmentFn
	is first domain of closedOn
	is first domain of range
	is first domain of rangeSubclass
Class	is third domain of domain
	is third domain of domainSubclass
Abstract	is disjoint from Physical

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