Question: Let p, q, r denote primitive statements. (a) Use truth tables to verify the following logical equivalences. (i) p (q r) (p

Let p, q, r denote primitive statements.
(a) Use truth tables to verify the following logical equivalences.
(i) p → (q ∧ r) ⇔ (p → q) ∧ (p → r)
(ii) [(p ∨ q) → r] ⇔ [(p → r) ∧ (q → r)]
(iii) [p → (q ∨ r)] ⇔ [¬r → (p → q)]
(b) Use the substitution rules to show that
[p → (q ∨ r)] [(p ∧ ¬q) → r].

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a i ii iii b p q r r p q From part iii of part a r p q By the 2nd Substitution Rule and p 9 p q p q ... View full answer

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