Question: (a) (P implies Q) and (Q implies R) implies (P implies R) (b) P and (P implies Q) implies Q (c) (P implies Q) implies

(a) (P implies Q) and (Q implies R) implies (P implies

(a) (P implies Q) and (Q implies R) implies (P implies R)

(b) P and (P implies Q) implies Q

(c) (P implies Q) implies (Q implies P) not tautologous, prove by contradiction

1. Use a proof by contradiction to prove that these are tautologies. (a) PQ.A.Q R. .PR (b) P. A.P Q. .Q (c) P Q. .QP

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