Let X and Y be sets, let A and B be any subsets

Chapter 7, Problem 7.48

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Let X and Y be sets, let A and B be any subsets of X, and let C and D be any subsets of Y. Determine which of the properties are true for all functions F from X to Y and which are false for at least one function F from X to Y. Justify your answers. For all subsets C and D of Y, F1(C D) = F1(C)F1(D).

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