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Entity > Abstract > Class > Relation > BinaryRelation > AntisymmetricRelation > instance
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instance comparison table
Subject have domain2 have domain1 be first domain of documentation have axiom is a kind of is an instance of
AntisymmetricRelation  trichotomizingOnBinaryRelation ?REL is an AntisymmetricRelation if for distinct ?INST1 and ?INST2, (?REL ?INST1 ?INST2) implies not (?REL ?INST2 ?INST1). In other words, for all ?INST1 and ?INST2, (?REL ?INST1 ?INST2) and (?REL ?INST2 ?INST1) imply that ?INST1 and ?INST2 are identical. Note that it is possible for an AntisymmetricRelation to be a ReflexiveRelation
(=>
(instance ?REL AntisymmetricRelation)
(forall (?INST1 ?INST2)
(=>
(and
(holds ?REL ?INST1 ?INST2)
(holds ?REL ?INST2 ?INST1))
(equal ?INST1 ?INST2))))
BinaryRelation 
BinaryPredicate  singleValuedA Predicate relating two items - its valence is two
(=>
(instance ?REL BinaryPredicate)
(valence ?REL 2))
Predicate 
instanceClassEntitysingleValuedAn object is an instance a Class if it is a member of that Class. An individual may be an instance of many classes, some of which may be subclasses of others. Thus, there is no assumption in the meaning of instance about specificity or uniqueness
(=>
(instance ?REL BinaryPredicate)
(valence ?REL 2))
 BinaryPredicate

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