Suppose we know that each of An, n ≥ 0, is countable. Show that (a) {A0, A₁,..., An...} is a set. If you used some of the Principles 0-3 in this subquestion, be explicit! (b)(KS) Prove that U> A; is countable. (c) S) Did Did you need the Axiom of Choice in any of the sub- questions here? Explain clearly in a FEW words.

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