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Entity > Abstract > Class > Relation > BinaryRelation > AntisymmetricRelation > PartialOrderingRelation > subrelation

subrelation
subject			fact

subrelation	documentation A Relation R is a subrelation Relation R' if R is a subclass R'. This implies that every tuple of R is also a tuple of R'. Again, if R holds for some arguments arg_1, arg_2, ... arg_n, then R' holds for the same arguments. Thus, a Relation and its subrelation must have the same valence. In CycL, subrelation is called #$genlPreds
	has axiom (=> (and (subrelation ?PRED1 ?PRED2) (domain ?PRED2 ?NUMBER ?CLASS2) (domain ?PRED1 ?NUMBER ?CLASS1)) (subclass ?CLASS1 ?CLASS2))
	has axiom (=> (and (subrelation ?PRED1 ?PRED2) (instance ?PRED2 ?CLASS)) (instance ?PRED1 ?CLASS))
	has axiom (=> (and (subrelation ?PRED1 ?PRED2) (?PRED1 ?INST1 ?INST2)) (?PRED2 ?INST1 ?INST2))
	has axiom (=> (and (subrelation ?PRED1 ?PRED2) (?PRED1 ?INST1 ?INST2 ?INST3)) (?PRED2 ?INST1 ?INST2 ?INST3))
	has axiom (=> (and (subrelation ?PRED1 ?PRED2) (?PRED1 ?INST1 ?INST2 ?INST3 ?INST4)) (?PRED2 ?INST1 ?INST2 ?INST3 ?INST4))
	has axiom (=> (subrelation ?PRED1 ?PRED2) (exists (?NUMBER) (and (valence ?PRED1 ?NUMBER) (valence ?PRED2 ?NUMBER))))
	has domain1 Relation
	has domain2 Relation
	is an instance of BinaryPredicate
	is an instance of PartialOrderingRelation
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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