SUMO View all facts Glossary Help |
Entity > Abstract > Class > Relation > BinaryRelation > AntisymmetricRelation |
AntisymmetricRelation | ||||
subject | fact |
AntisymmetricRelation | documentation BinaryRelation ?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 | |
has axiom (=> | ||
has axiom (=> | ||
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 AntisymmetricRelation :
Next BinaryRelation: BinaryPredicate Up: BinaryRelation Previous BinaryRelation: UnaryFunction