SUMO   View all facts   Glossary   Help

Entity > Abstract > Class > Relation > BinaryRelation > BinaryPredicate > lessThan

lessThan
subject			fact

lessThan	documentation (lessThan ?NUMBER1 ?NUMBER2) is true just in case the Quantity ?NUMBER1 is less than the Quantity ?NUMBER2
	has axiom (<=> (lessThanOrEqualTo ?NUMBER1 ?NUMBER2) (or (equal ?NUMBER1 ?NUMBER2) (lessThan ?NUMBER1 ?NUMBER2)))
	has axiom (=> (and (instance ?DECREASE Decreasing) (patient ?DECREASE ?OBJ)) (exists (?UNIT ?QUANT1 ?QUANT2) (and (holdsDuring (ImmediatePastFn (WhenFn ?DECREASE)) (equal (MeasureFn ?OBJ ?UNIT) ?QUANT1)) (holdsDuring (ImmediateFutureFn (WhenFn ?DECREASE)) (equal (MeasureFn ?OBJ ?UNIT) ?QUANT2)) (lessThan ?QUANT2 ?QUANT1))))
	has axiom (=> (and (instance ?INT1 Integer) (instance ?INT2 Integer)) (not (and (lessThan ?INT1 ?INT2) (lessThan ?INT2 (SuccessorFn ?INT1)))))
	has axiom (=> (and (instance ?INT1 Integer) (instance ?INT2 Integer)) (not (and (lessThan ?INT2 ?INT1) (lessThan (PredecessorFn ?INT1) ?INT2))))
	has axiom (=> (equal (CeilingFn ?NUMBER) ?INT) (not (exists (?OTHERINT) (and (instance ?OTHERINT Integer) (greaterThanOrEqualTo ?OTHERINT ?NUMBER) (lessThan ?OTHERINT ?INT)))))
	has axiom (=> (equal (MinFn ?NUMBER1 ?NUMBER2) ?NUMBER) (or (and (equal ?NUMBER ?NUMBER1) (lessThan ?NUMBER1 ?NUMBER2)) (and (equal ?NUMBER ?NUMBER2) (lessThan ?NUMBER2 ?NUMBER1)) (and (equal ?NUMBER ?NUMBER1) (equal ?NUMBER ?NUMBER2))))
	has axiom (=> (equal (RoundFn ?NUMBER1) ?NUMBER2) (or (=> (lessThan (SubtractionFn ?NUMBER1 (FloorFn ?NUMBER1)) .5) (equal ?NUMBER2 (FloorFn ?NUMBER1))) (=> (greaterThanOrEqualTo (SubtractionFn ?NUMBER1 (FloorFn ?NUMBER1)) .5) (equal ?NUMBER2 (CeilingFn ?NUMBER1)))))
	has axiom (=> (instance (HourFn ?NUMBER ?DAY) Hour) (lessThan ?NUMBER 24))
	has axiom (=> (instance (MinuteFn ?NUMBER ?HOUR) Minute) (lessThan ?NUMBER 60))
	has axiom (=> (instance (SecondFn ?NUMBER ?MINUTE) Second) (lessThan ?NUMBER 60))
	has axiom (=> (instance ?INT Integer) (lessThan ?INT (SuccessorFn ?INT)))
	has axiom (=> (instance ?INTERVAL (HourIntervalFn ?NUMBER1 ?NUMBER2)) (and (lessThan ?NUMBER1 24) (lessThan ?NUMBER2 24) (lessThan ?NUMBER1 ?NUMBER2)))
	has axiom (=> (instance ?NUMBER NegativeRealNumber) (lessThan ?NUMBER 0))
	has domain1 Quantity
	has domain2 Quantity
	is an instance of BinaryPredicate
	is an instance of IrreflexiveRelation
	is an instance of RelationExtendedToQuantities
	is an instance of TransitiveRelation
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

Next BinaryPredicate: lessThanOrEqualTo    Up: BinaryPredicate, IrreflexiveRelation, RelationExtendedToQuantities, TransitiveRelation    Previous BinaryPredicate: larger