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Entity > Abstract > Class > Relation > BinaryRelation > AntisymmetricRelation > AsymmetricRelation > element

element
subject			fact

element	documentation (element ?ENTITY ?SET) is true just in case ?ENTITY is contained in the Set ?SET. An Entity can be an element of another Entity only if the latter is a Set
	has axiom (=> (subset ?SUBSET ?SET) (forall (?ELEMENT) (=> (element ?ELEMENT ?SUBSET) (element ?ELEMENT ?SET))))
	has axiom (=> (forall (?ELEMENT) (<=> (element ?ELEMENT ?SET1) (element ?ELEMENT ?SET2))) (equal ?SET1 ?SET2))
	has domain1 Entity
	has domain2 Set
	is an instance of AsymmetricRelation
	is an instance of BinaryPredicate
	is an instance of IntransitiveRelation
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
Predicate	is first domain of singleValued
Class	is third domain of domain
	is third domain of domainSubclass
Abstract	is disjoint from Physical

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