Mark each statement True or False. Justify each answer.
(a) When an implication p ⇒ q is used as a theorem, we refer to q as the conclusion.
(b) A statement that is always false is called a lie.
(c) The converse of p ⇒ q is q ⇒ p.
(d) To prove "∀ n, p(n)" is false, it takes only one counterexample.
(e) To prove "∃ n ∋ p(n)" is false, it takes only one counterexample.
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