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Entity > Abstract > Class > Relation > Function > BinaryFunction > AssociativeFunction > DivisionFn

DivisionFn
subject			fact

DivisionFn	documentation If ?NUMBER1 and ?NUMBER2 are Numbers, then (DivisionFn ?NUMBER1 ?NUMBER2) is the result of dividing ?NUMBER1 by ?NUMBER2. An exception occurs when ?NUMBER1 = 1, in which case (DivisionFn ?NUMBER1 ?NUMBER2) is the reciprocal of ?NUMBER2
	has axiom (<=> (equal (RemainderFn ?NUMBER1 ?NUMBER2) ?NUMBER) (equal (AdditionFn (MultiplicationFn (FloorFn (DivisionFn ?NUMBER1 ?NUMBER2)) ?NUMBER2) ?NUMBER) ?NUMBER1))
	has axiom (=> (instance ?NUMBER RationalNumber) (exists (?INT1 ?INT2) (and (instance ?INT1 Integer) (instance ?INT2 Integer) (equal ?NUMBER (DivisionFn ?INT1 ?INT2)))))
	has axiom (equal (TangentFn ?DEGREE) (DivisionFn (SineFn ?DEGREE) (CosineFn ?DEGREE)))
	has axiom (equal (MeasureFn ?NUMBER Cup) (MeasureFn (DivisionFn ?NUMBER 2) Pint))
	has axiom (equal (MeasureFn ?NUMBER Ounce) (MeasureFn (DivisionFn ?NUMBER 8) Cup))
	has axiom (equal (MeasureFn ?NUMBER Pint) (MeasureFn (DivisionFn ?NUMBER 2) Quart))
	has axiom (equal (MeasureFn ?NUMBER Quart) (MeasureFn (DivisionFn ?NUMBER 4) UnitedStatesGallon))
	has axiom (equal (MeasureFn ?NUMBER AngularDegree) (MeasureFn (MultiplicationFn ?NUMBER (DivisionFn Pi 180)) Radian))
	has domain1 Quantity
	has domain2 Quantity
	has identityElement 1
	has range Quantity
	is an instance of AssociativeFunction
	is an instance of RelationExtendedToQuantities
BinaryFunction	is first domain of distributes
	is first domain of identityElement
	is second domain of distributes
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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