Question: Logical equivalence is derived from Theorem 2.1.1. Supply a reason for each step. (p ( ( pq))) (pq) (p ( ( p) q)) (pq) by(a).

  1. Logical equivalence is derived from Theorem 2.1.1. Supply a reason for each step.

(p ( ( pq))) (pq) (p ( ( p) q)) (pq) by(a).

(p (p q)) (pq) by(b)

((pp) q)) (pq) by(c)

(p q))(pq) by(d).

p ( qq) by(e).

p (q q) by(f)..

p t by(g)

p by(h)

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