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Prove the the function of the union of two sets

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Theorem 4.16

Let f: A --> B, C and D be subsets of A, and E and F be subsets of B. Then

b) f(the union of C and D) = the union of f(C) and f(D)
d) f^-1(the union of E and F) = the union of f^-1(E) and f^-1(F).

See the attached file.

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This is a proof regarding functions, intersections, and subsets provided in an attached Word document.

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