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Entity > Abstract > Class > Relation > BinaryRelation > AntisymmetricRelation > AsymmetricRelation > totalOrderingOn |
totalOrderingOn | ||||
subject | fact |
totalOrderingOn | documentation A BinaryRelation ?REL is a total ordering on a Class only if it is a partial ordering for which either (?REL ?INST1 ?INST2) or (?REL ?INST2 ?INST1) for every ?INST1 and ?INST2 in the Class | |
has axiom (<=> | ||
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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