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5. (15 pt.) Use the laws of propositional logic to prove that the following compound propositions are tautologies. a. (5 pt.) (p ^ (p V

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5. (15 pt.) Use the laws of propositional logic to prove that the following compound propositions are tautologies. a. (5 pt.) (p ^ (p V q)) q b. (10 pt.) ((p = q)^(q + r)) (p =r)

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