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

partialOrderingOn
subject			fact

partialOrderingOn	documentation A BinaryRelation is a partial ordering on a Class only if the relation is reflexiveOn the Class, and it is both an AntisymmetricRelation, and a TransitiveRelation
	has axiom (<=> (totalOrderingOn ?RELATION ?CLASS) (and (partialOrderingOn ?RELATION ?CLASS) (trichotomizingOn ?RELATION ?CLASS)))
	has axiom (=> (partialOrderingOn ?RELATION ?CLASS) (and (reflexiveOn ?RELATION ?CLASS) (instance ?RELATION TransitiveRelation) (instance ?RELATION AntisymmetricRelation)))
	has domain1 BinaryRelation
	has domain2 Class
	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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