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KB Term:  Term intersection
English Word: 

Sigma KEE - NullList
NullList(null list)

appearance as argument number 1
-------------------------


(documentation NullList ChineseLanguage "这是一个没有项目的 ListNullList 的独特之处是因为 List 是可以延伸,也就是说俩个含有相同项目以相同顺序排列的列表是一样的。") chinese_format.kif 1960-1961
(documentation NullList EnglishLanguage "The List that has no items. The uniqueness of NullList follows from the extensionality of Lists, i.e. the fact that two Lists with the same items in the same order are identical.") Merge.kif 2808-2810
(instance NullList List) Merge.kif 2806-2806 Null list is an instance of list

appearance as argument number 2
-------------------------


(termFormat ChineseLanguage NullList "空列表") domainEnglishFormat.kif 41338-41338
(termFormat ChineseTraditionalLanguage NullList "空列表") domainEnglishFormat.kif 41337-41337
(termFormat EnglishLanguage NullList "null list") domainEnglishFormat.kif 41336-41336

antecedent
-------------------------


(<=>
    (and
        (equal ?LIST3
            (ListConcatenateFn ?LIST1 ?LIST2))
        (not
            (equal ?LIST1 NullList))
        (not
            (equal ?LIST2 NullList)))
    (forall (?NUMBER1 ?NUMBER2)
        (=>
            (and
                (lessThanOrEqualTo ?NUMBER1
                    (ListLengthFn ?LIST1))
                (lessThanOrEqualTo ?NUMBER2
                    (ListLengthFn ?LIST2))
                (instance ?NUMBER1 PositiveInteger)
                (instance ?NUMBER2 PositiveInteger))
            (and
                (equal
                    (ListOrderFn ?LIST3 ?NUMBER1)
                    (ListOrderFn ?LIST1 ?NUMBER1))
                (equal
                    (ListOrderFn ?LIST3
                        (AdditionFn
                            (ListLengthFn ?LIST1) ?NUMBER2))
                    (ListOrderFn ?LIST2 ?NUMBER2))))))
Merge.kif 2972-2988 A list is equal to the list composed of another list and a third list and the other list is not equal to null list and the third list is not equal to null list if and only if for all a positive integer and another positive integer
(=>
    (and
        (instance ?LIST List)
        (not
            (equal ?LIST NullList)))
    (equal
        (FirstFn ?LIST)
        (ListOrderFn ?LIST 1)))
Merge.kif 3115-3120

consequent
-------------------------


(=>
    (and
        (equal ?R
            (SubListFn ?S ?E ?L))
        (equal
            (SubtractionFn ?E ?S) 0))
    (equal ?R NullList))
Merge.kif 3058-3065


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