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Let S be a nonempty set, and let P ( S ) be the power set of S , i., the set of all subsets of S .Consider a function F from S to P ( S ); F : S P (...

Let S be a nonempty set, and let P(S) be the power set of S, i.e., the set of all subsets of S .Consider a function F from S to  P(S);  F : S →  P(S). 

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Is it possible to have a set  

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