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Entity > Abstract > Class > Relation > BinaryRelation > TrichotomizingRelation

TrichotomizingRelation
subject			fact

TrichotomizingRelation	documentation A BinaryRelation ?REL is a TrichotomizingRelation just in case all ordered pairs consisting of distinct individuals are elements of ?REL
	has axiom (=> (instance ?REL TrichotomizingRelation) (forall (?INST1 ?INST2) (or (holds ?REL ?INST1 ?INST2) (equal ?INST1 ?INST2) (holds ?REL ?INST2 ?INST1))))
	is a kind of BinaryRelation
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
Class	is third domain of domain
	is third domain of domainSubclass
Abstract	is disjoint from Physical

Kinds of TrichotomizingRelation :

• TotalOrderingRelation (4 facts) - "A BinaryRelation is a TotalOrderingRelation if it is a PartialOrderingRelation and a TrichotomizingRelation

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