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Suppose f: A B is a surjective function. Let P = {f-1 ({b}) | b E B). Prove P is a partition of A.
Suppose f: A B is a surjective function. Let P = {f-1 ({b}) | b E B). Prove P is a partition of A. Hint: A set P is a partition of a set A if 1. For all B P, B is not equal to the empty set 2. UBEPB = A 3. For all B1, B2 P, if B1 n B2 (not equal to), then B1 = B2.
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Quantum Chemistry
Authors: Ira N. Levine
7th edition
321803450, 978-0321803450
