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Sigma KEE - LeastCommonMultipleFn
LeastCommonMultipleFn

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


(documentation LeastCommonMultipleFn ChineseLanguage "(LeastCommonMultipleFn ?NUMBER1 ?NUMBER2 ... ?NUMBER) 得出 ?NUMBER1 到 ?NUMBER 的最小公倍数。") chinese_format.kif 2245-2246
(documentation LeastCommonMultipleFn EnglishLanguage "(LeastCommonMultipleFn ?NUMBER1 ?NUMBER2 ... ?NUMBER) returns the least common multiple of ?NUMBER1 through ?NUMBER.") Merge.kif 4733-4735
(domain LeastCommonMultipleFn 1 Integer) Merge.kif 4731-4731 domain LeastCommonMultipleFn, 1 and Integer
(instance LeastCommonMultipleFn Function) Merge.kif 4727-4727 instance LeastCommonMultipleFn and Function
(instance LeastCommonMultipleFn PartialValuedRelation) Merge.kif 4728-4728 instance LeastCommonMultipleFn and PartialValuedRelation
(instance LeastCommonMultipleFn VariableArityRelation) Merge.kif 4729-4729 instance LeastCommonMultipleFn and VariableArityRelation
(range LeastCommonMultipleFn Integer) Merge.kif 4730-4730 range LeastCommonMultipleFn and Integer

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


(format ChineseLanguage LeastCommonMultipleFn "%*[and] 的最小公倍数") chinese_format.kif 706-706
(format EnglishLanguage LeastCommonMultipleFn "the least common multiple of %*[and]") english_format.kif 711-711
(termFormat ChineseLanguage LeastCommonMultipleFn "最不常见的倍数") domainEnglishFormat.kif 33598-33598
(termFormat ChineseLanguage LeastCommonMultipleFn "最小公倍数函数") chinese_format.kif 707-707
(termFormat ChineseTraditionalLanguage LeastCommonMultipleFn "最不常見的倍數") domainEnglishFormat.kif 33597-33597
(termFormat EnglishLanguage LeastCommonMultipleFn "least common multiple") domainEnglishFormat.kif 33596-33596

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


(=>
    (equal
        (LeastCommonMultipleFn @ROW) ?NUMBER)
    (=>
        (inList ?ELEMENT
            (ListFn @ROW))
        (instance ?ELEMENT Number)))
Merge.kif 4737-4742
(=>
    (equal
        (LeastCommonMultipleFn @ROW) ?NUMBER)
    (forall (?ELEMENT)
        (=>
            (inList ?ELEMENT
                (ListFn @ROW))
            (equal
                (RemainderFn ?NUMBER ?ELEMENT) 0))))
Merge.kif 4744-4749
(=>
    (equal
        (LeastCommonMultipleFn @ROW) ?NUMBER)
    (not
        (exists (?LESS)
            (and
                (lessThan ?LESS ?NUMBER)
                (forall (?ELEMENT)
                    (=>
                        (inList ?ELEMENT
                            (ListFn @ROW))
                        (equal
                            (RemainderFn ?LESS ?ELEMENT) 0)))))))
Merge.kif 4751-4759


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