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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 3152-3153
(domain SubListFn 1 Integer)	Merge.kif 3148-3148	The number 1 argument of sub-list function is an instance of integer
(domain SubListFn 2 Integer)	Merge.kif 3149-3149	The number 2 argument of sub-list function is an instance of integer
(domain SubListFn 3 List)	Merge.kif 3150-3150	The number 3 argument of sub-list function is an instance of list
(instance SubListFn TernaryFunction)	Merge.kif 3147-3147	Sub-list function is an instance of ternary function
(range SubListFn List)	Merge.kif 3151-3151	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 3155-3155
(termFormat EnglishLanguage SubListFn "sub-list function")	Merge.kif 3154-3154

antecedent

(=> (and (equal ?R (SubListFn ?S ?E ?L)) (equal (SubtractionFn ?E ?S) 0)) (equal ?R NullList))	Merge.kif 3157-3164	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 3166-3175	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 3177-3189	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 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 3245-3255	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 3177-3189	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 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 1453-1465	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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