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108 C THE PROPOSITIONAL CALCULUS III Using basic or derived rules, prove the validity of the following argument forms. (1) PQ, Q-RP R (2)

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108 C THE PROPOSITIONAL CALCULUS III Using basic or derived rules, prove the validity of the following argument forms. (1) PQ, Q-RP R (2) P Q~P~Q (3) ~PVQ~(P & ~Q) (4) P-Q, P-~Q~P (5) (P-Q) & (P-R) P-(Q & R) P-Q(P&R)-(Q & R) P-Q+(PVR)-(QVR) (8) ~P-P+P (9) PP-Q (10) P&QP-Q [CHAP. 4

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