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

identityElement
subject			fact

identityElement	documentation An object ?ID is the identity element for BinaryFunction ?FUNCTION just in case, for every instance ?INST, applying ?FUNCTION to ?INST and ?ID results in ?INST
	has axiom (=> (identityElement ?FUNCTION ?ID) (forall (?INST) (=> (instance ?INST (DomainFn ?FUNCTION)) (equal (AssignmentFn ?FUNCTION ?ID ?INST) ?INST))))
	has domain1 BinaryFunction
	has domain2 Entity
	is an instance of AsymmetricRelation
	is an instance of BinaryPredicate
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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