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Question
Write the negation of the following statement:
(p `rightarrow` q) ∨ (p `rightarrow` r)
Solution
∼[(p `rightarrow` q) ∨ (p `rightarrow` r)]
∼(p `rightarrow` q) ∧ ∼(p `rightarrow` r)
(p ∧ ∼q) ∧ (p ∧ ∼r)
p ∧ (∼q ∧ ∼r)
p ∧ ∼(q ∨ r)
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