Let f be an enumeration function of an enumerable set S. For each of the sets below, state whether it is enumerable or not. If it is, give a function that enumerates it and prove that this function you give is indeed an enumeration of the set. If it is not enumerable, prove why it is not enumerable or give a counterexample. (a) The powerset of S, P(S). (b) Set S \ T where T is an arbitrary set

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