Let A be a non-empty set, and let f: A → A. Then f(C) ⊆ C if and only if C ⊆ f^(-1)(C).
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In this context, f^(-1)(C) represents the preimage of set C under the function f. It is the set of all elements in A that map to elements in C under f. Now, let's prove the statement. Show more…
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