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Question
Write the negation of (p `leftrightarrow` q).
Sum
Solution
∼ (p `leftrightarrow` q) = ∼ [(p `rightarrow` q) ∧ (q `rightarrow` p)]
= ∼ [(∼ p ∨ q) ∧ (∼ q ∨ p)]
= ∼ (∼ p ∨ q) ∨ ∼ (∼ q ∨ p)
= (p ∧ ∼ q) ∨ (q ∧ ∼ p)
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