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Entity > Abstract > Class > Relation > BinaryRelation > AntisymmetricRelation > AsymmetricRelation > element |
element 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 | |||
IntransitiveRelation | trichotomizingOn | A BinaryRelation ?REL is intransitive only if (?REL ?INST1 ?INST2) and (?REL ?INST2 ?INST3) imply not (?REL ?INST1 ?INST3), for all ?INST1, ?INST2, and ?INST3 | (=> | BinaryRelation | |||
element | Set | Entity | singleValued | (element ?ENTITY ?SET) is true just in case ?ENTITY is contained in the Set ?SET. An Entity can be an element of another Entity only if the latter is a Set | (=> | IntransitiveRelation |
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