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| SetOrClass(set or class) |  | subgroup, subpopulation |
| appearance as argument number 1 |
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| (subclass SetOrClass Abstract) | Merge.kif 2238-2238 | Set or class is a subclass of abstract |
| (partition SetOrClass Set Class) | Merge.kif 2239-2239 | Set or class is exhaustively partitioned into set and class |
| (documentation SetOrClass EnglishLanguage "The SetOrClass of Sets and Classes, i.e. any instance of Abstract that has elements or instances.") | Merge.kif 2241-2243 | Set or class is exhaustively partitioned into set and class |
| appearance as argument number 2 |
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| appearance as argument number 3 |
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| antecedent |
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| (=> (and (instance ?SET SetOrClass) (equal (CardinalityFn ?SET) ?COUNT)) (cardinality ?SET ?COUNT)) |
Government.kif 410-414 | If X is an instance of set or class and equal the number of instances in X and Y, then Y is a cardinality of X |
| consequent |
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| (=> (and (exactCardinality ?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) (equal (CardinalityFn ?S) ?COUNT)))))) |
Media.kif 2084-2097 | If there can be 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 equal the number of instances in W and 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 |
| (=> (and (maxCardinality ?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) (lessThanOrEqualTo (CardinalityFn ?S) ?COUNT)))))) |
Media.kif 2157-2170 | If there can be at most 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 less than or equal to X |
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