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Entity > Abstract > Class > Relation > BinaryRelation > BinaryPredicate > smaller

smaller
subject			fact

smaller	documentation (smaller ?OBJ1 ?OBJ2) simply means that ?OBJ1 is smaller, with respect to all LengthMeasures, than ?OBJ2
	has domain1 Object
	has domain2 Object
	has inverse larger
	is an instance of BinaryPredicate
	is an instance of IrreflexiveRelation
	is an instance of SpatialRelation
	is an instance of TransitiveRelation
BinaryPredicate	has axiom (=> (instance ?REL BinaryPredicate) (valence ?REL 2))
IrreflexiveRelation	has axiom (=> (instance ?REL IrreflexiveRelation) (forall (?INST) (not (holds ?REL ?INST ?INST))))
SpatialRelation	has axiom (=> (and (instance ?REL SpatialRelation) (holds ?REL ?OBJ1 ?OBJ2)) (overlapsTemporally (WhenFn ?OBJ1) (WhenFn ?OBJ2)))
TransitiveRelation	has axiom (=> (partialOrderingOn ?RELATION ?CLASS) (and (reflexiveOn ?RELATION ?CLASS) (instance ?RELATION TransitiveRelation) (instance ?RELATION AntisymmetricRelation)))
	has axiom (=> (equivalenceRelationOn ?RELATION ?CLASS) (and (instance ?RELATION TransitiveRelation) (instance ?RELATION SymmetricRelation) (reflexiveOn ?RELATION ?CLASS)))
	has axiom (=> (instance ?REL TransitiveRelation) (forall (?INST1 ?INST2 ?INST3) (=> (and (holds ?REL ?INST1 ?INST2) (holds ?REL ?INST2 ?INST3)) (holds ?REL ?INST1 ?INST3))))
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
Relation	is first domain of domain
	is first domain of domainSubclass
	is first domain of holds
	is first domain of subrelation
	is first domain of valence
	is second domain of subrelation
Class	is third domain of domain
	is third domain of domainSubclass
Abstract	is disjoint from Physical

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