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Entity > Abstract > Class > Relation > BinaryRelation > AntisymmetricRelation > AsymmetricRelation > totalOrderingOn |
totalOrderingOn comparison table |
Subject | have domain2 | have domain1 | be first domain of | documentation | have axiom | is a kind of | is an instance of |
---|---|---|---|---|---|---|---|
AsymmetricRelation | trichotomizingOn | A BinaryRelation is asymmetric only if it is both an AntisymmetricRelation and an IrreflexiveRelation | (=> | IrreflexiveRelation | |||
BinaryPredicate | singleValued | A Predicate relating two items - its valence is two | (=> | Predicate | |||
totalOrderingOn | Class | BinaryRelation | singleValued | 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 | (<=> | BinaryPredicate |
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