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Sigma KEE - SubListFn

SubListFn

appearance as argument number 1

(documentation SubListFn EnglishLanguage "A Function that returns a portion of the List that runs from the first index to the second index - 1. Note that lists subscripts begin at 1.")	Merge.kif 3166-3167
(domain SubListFn 1 Integer)	Merge.kif 3162-3162	The number 1 argument of sub-list function is an instance of integer
(domain SubListFn 2 Integer)	Merge.kif 3163-3163	The number 2 argument of sub-list function is an instance of integer
(domain SubListFn 3 List)	Merge.kif 3164-3164	The number 3 argument of sub-list function is an instance of list
(instance SubListFn TernaryFunction)	Merge.kif 3161-3161	Sub-list function is an instance of ternary function
(range SubListFn List)	Merge.kif 3165-3165	The range of sub-list function is an instance of list

appearance as argument number 2

(format EnglishLanguage SubListFn "the sub-list from %1 to %2 of %3")	Merge.kif 3169-3169
(termFormat EnglishLanguage SubListFn "sub-list function")	Merge.kif 3168-3168

antecedent

(=> (and (equal ?R (SubListFn ?S ?E ?L)) (equal (SubtractionFn ?E ?S) 0)) (equal ?R NullList))	Merge.kif 3171-3178	If a list is equal to the sub-list from an integer to another integer of another list and (the other integer and the integer) is equal to 0, then the list is equal to null list
(=> (and (equal ?R (SubListFn ?S ?E ?L)) (equal (SubtractionFn ?E ?S) 1)) (equal ?R (ListFn (ListOrderFn ?L ?S))))	Merge.kif 3180-3189	If a list is equal to the sub-list from a positive integer to an integer of another list and (the integer and the positive integer) is equal to 1, then the list is equal to (the positive integerth element of the other list)
(=> (and (equal ?R (SubListFn ?S ?E ?L)) (greaterThan (SubtractionFn ?E ?S) 1)) (equal ?R (ListConcatenateFn (ListFn (ListOrderFn ?L ?S)) (SubListFn (AdditionFn 1 ?S) ?E ?L))))	Merge.kif 3191-3203	If a list is equal to the sub-list from a positive integer to an integer of another list and (the integer and the positive integer) is greater than 1, then the list is equal to the list composed of (the positive integerth element of the other list) and the sub-list from (1 and the positive integer) to the integer of the other list

consequent

(=> (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)
(=> (and (equal ?R (SubListFn ?S ?E ?L)) (greaterThan (SubtractionFn ?E ?S) 1)) (equal ?R (ListConcatenateFn (ListFn (ListOrderFn ?L ?S)) (SubListFn (AdditionFn 1 ?S) ?E ?L))))	Merge.kif 3191-3203	If a list is equal to the sub-list from a positive integer to an integer of another list and (the integer and the positive integer) is greater than 1, then the list is equal to the list composed of (the positive integerth element of the other list) and the sub-list from (1 and the positive integer) to the integer of the other list
(=> (and (equal ?VA (VarianceAverageFn ?M ?L)) (greaterThan (ListLengthFn ?L) 1)) (equal ?VA (AdditionFn (VarianceAverageFn ?M (ListOrderFn ?L 1)) (VarianceAverageFn ?M (SubListFn 2 (ListLengthFn ?L) ?L)))))	Weather.kif 1437-1449	If a real number is equal to VarianceAverageFn of a list with the mean of a number and length of the list is greater than 1, then the real number is equal to (VarianceAverageFn of 1th element of the list with the mean of the number and VarianceAverageFn of the sub-list from 2 to length of the list of the list with the mean of the number)

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