Exercise 3.4.3. Let A, B be two subsets of a set X, and let : X ? Y be a function. Show that f(ANB) ? (A) (B), that (A) (B) ? (A B), (AUB) = (A) U (B). For the first two statements, is it true that the C relation can be improved to =?

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Exercise 3.4.3. Let A, B be two subsets of a set X, and let  : X ? Y be a function. Show that f(ANB) ? (A) (B), that (A) (B) ? (A B), (AUB) = (A) U (B). For the first two statements, is it true that the C relation can be improved to =?

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