Let f XY be a function. (i) Let BCY be a subset. Prove that f(f(B)) =...

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Let f XY be a function. (i) Let BCY be a subset. Prove that f(f(B)) = B if and only if BC image f. (ii) Prove that AC f(f(A)) for all A CX. Let f XY be a function. (i) Let BCY be a subset. Prove that f(f(B)) = B if and only if BC image f. (ii) Prove that AC f(f(A)) for all A CX.

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To prove these statements we need to show both directions of the if and only if state... View the full answer