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Sigma KEE - ListSumFn

ListSumFn

appearance as argument number 1

(documentation ListSumFn EnglishLanguage "The sum of all the numbers in a List.")	Merge.kif 3243-3243
(domain ListSumFn 1 List)	Merge.kif 3241-3241	The number 1 argument of sum of elements is an instance of list
(instance ListSumFn UnaryFunction)	Merge.kif 3240-3240	Sum of elements is an instance of unary function
(range ListSumFn RealNumber)	Merge.kif 3242-3242	The range of sum of elements is an instance of real number

appearance as argument number 2

(format EnglishLanguage ListSumFn "the sum of %1")	Merge.kif 3244-3244
(termFormat EnglishLanguage ListSumFn "sum of elements")	Merge.kif 3245-3245

antecedent

(=> (and (equal ?A (ListSumFn ?L)) (equal 1 (ListLengthFn ?L))) (equal ?A (ListOrderFn ?L 1)))	Merge.kif 3253-3257	If a real number is equal to the sum of a list and 1 is equal to length of the list, then the real number is equal to 1th element of the list
(=> (and (equal ?A (ListSumFn ?L)) (greaterThan (ListLengthFn ?L) 1)) (equal ?A (AdditionFn (FirstFn ?L) (ListSumFn (SubListFn 2 (ListLengthFn ?L) ?L)))))	Merge.kif 3259-3269	If a real number is equal to the sum of a list and length of the list is greater than 1, then the real number is equal to (the first of the list and the sum of the sub-list from 2 to length of the list of the list)

consequent

(=> (and (amount ?S ?CO (MeasureFn ?N ?U)) (instance ?SI ?S) (measure ?SI (MeasureFn ?N2 ?U)) (part ?SI ?CO)) (exists (?L) (and (inList (MeasureFn ?N2 ?U) ?L) (equal ?L (AmountsFn ?S ?CO ?U)) (equal ?N (ListSumFn ?L)))))	Merge.kif 7597-7612	If amount a kind of substance, a corpuscular object and a real number an unit of mass(s) and a kind of substanceI is an instance of the kind of substance and the measure of the kind of substanceI is the real number2 the unit of mass(s) and the kind of substanceI is a part of the corpuscular object, then there exists a list such that the real number2 the unit of mass(s) is a member of the list and the list is equal to Amounts fn the kind of substance, the corpuscular object and the unit of mass and the real number is equal to the sum of the list
(=> (and (equal ?A (AverageFn ?L)) (greaterThan (ListLengthFn ?L) 0)) (equal ?A (DivisionFn (ListSumFn ?L) (ListLengthFn ?L))))	Merge.kif 3278-3285	If a real number is equal to the average of the numbers in a list and length of the list is greater than 0, then the real number is equal to the sum of the list and length of the list
(=> (and (equal ?A (ListSumFn ?L)) (greaterThan (ListLengthFn ?L) 1)) (equal ?A (AdditionFn (FirstFn ?L) (ListSumFn (SubListFn 2 (ListLengthFn ?L) ?L)))))	Merge.kif 3259-3269	If a real number is equal to the sum of a list and length of the list is greater than 1, then the real number is equal to (the first of the list and the sum of the sub-list from 2 to length of the list of the list)

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