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

SubtractionFn
subject			fact

SubtractionFn	documentation If ?NUMBER1 and ?NUMBER2 are Numbers, then (SubtractionFn ?NUMBER1 ?NUMBER2) is the arithmetical difference between ?NUMBER1 and ?NUMBER2, i.e. ?NUMBER1 minus ?NUMBER2. An exception occurs when ?NUMBER1 is equal to 0, in which case (SubtractionFn ?NUMBER1 ?NUMBER2) is the negation of ?NUMBER2
	has axiom (<=> (equal (AbsoluteValueFn ?NUMBER1) ?NUMBER2) (or (and (instance ?NUMBER1 PositiveInteger) (equal ?NUMBER1 ?NUMBER2)) (and (instance ?NUMBER1 NegativeInteger) (equal ?NUMBER2 (SubtractionFn 0 ?NUMBER1)))))
	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 (equal (MeasureFn ?NUMBER Celsius) (MeasureFn (SubtractionFn ?NUMBER 273.15) Kelvin))
	has domain1 Quantity
	has domain2 Quantity
	has identityElement 0
	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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