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Sigma KEE - minCardinality
minCardinality

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


(documentation minCardinality EnglishLanguage "This relation expresses the minimum number of values that a particular argument to a relation can have if all other values remain fixed.") Media.kif 2099-2101
(instance minCardinality TernaryPredicate) Media.kif 2102-2102 min cardinality is an instance of ternary predicate
(domain minCardinality 1 Relation) Media.kif 2103-2103 The number 1 argument of min cardinality is an instance of relation
(domain minCardinality 2 Integer) Media.kif 2104-2104 The number 2 argument of min cardinality is an instance of integer
(domain minCardinality 3 Integer) Media.kif 2105-2105 The number 3 argument of min cardinality is an instance of integer

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


(format EnglishLanguage minCardinality "there are at least %3 values to argument %2 of %1") domainEnglishFormat.kif 3858-3858
(format ChineseTraditionalLanguage minCardinality "那裡至少有 %3 values 對於 %1 的參數 %2 ") domainEnglishFormat.kif 3859-3859
(format ChineseLanguage minCardinality "那里至少有 %3 values 对于 %1 的参数 %2 ") domainEnglishFormat.kif 3860-3860
(termFormat EnglishLanguage minCardinality "min cardinality") domainEnglishFormat.kif 65894-65894

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


(=>
    (minCardinality ?REL ?ARG ?COUNT)
    (exists (?EL @ARGS)
        (greaterThanOrEqualTo
            (CardinalityFn
                (KappaFn ?EL
                    (and
                        (?REL @ARGS)
                        (equal ?EL
                            (ListOrderFn
                                (ListFn @ARGS) ?ARG))))) ?COUNT)))
Media.kif 2108-2117 If there are at least X values to argument Y of Z, then there exist W and @ARGS such that the number of instances in the class described by W is greater than or equal to X
(=>
    (and
        (minCardinality ?REL ?ARG ?COUNT)
        (instance ?REL Predicate))
    (exists (?S ?EL @ARGS)
        (and
            (instance ?S SetOrClass)
            (=>
                (and
                    (?REL @ARGS)
                    (equal ?EL
                        (ListOrderFn
                            (ListFn @ARGS) ?ARG)))
                (and
                    (instance ?EL ?S)
                    (greaterThanOrEqualTo
                        (CardinalityFn ?S) ?COUNT))))))
Media.kif 2121-2134 If there are at least X values to argument Y of Z and Z is an instance of predicate, then there exist W, V and @ARGS such that W is an instance of set or class and Z @ARGS and equal V and T element of (@ARGS)V is an instance of W and the number of instances in W is greater than or equal to X


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