Mark each statement True or False. Justify each answer.
(a) A proof by contradiction may use the tautology (~ p ⇒ c) ⇔ p.
(b) A proof by contradiction may use the tautology [( p ∨ ~ q) ⇒ c] ⇔ ( p ⇒ q).
(c) Definitions often play an important role in proofs.
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