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5. (20 pt.) Use the laws of propositional logic to prove that the following compound propositions are tautologies. a. (5 pt.) (pAq-(qvr) b. (5 pt.)

5. (20 pt.) Use the laws of propositional logic to prove that the following compound propositions are tautologies. a. (5 pt.) (pAq-(qvr) b. (5 pt.) ((q p)^ q)-p c. (10 pt.) ((p V q) ^ (p r) ^ (q r)) r

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