(a) Use a truth table to prove De Morgan's identity ¬(P V Q) → ¬P ^ ¬Q. (b) Let P, Q, R be propositions. Use standard logical rules to prove that P= (Q = R) is equivalent to (PAQ) → R (c) Let A, B, C be sets. Use standard set theory identities to prove (A\B) \C = A\ (BUC)

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