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Kenneth Rosen Edition 7 Exercise 1.3 Question 49 (Page No. 36)

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${\color{Red}{p\downarrow q\equiv\sim(p \vee q)} }$

we can simply use the truth table

$p$ $q$ $p\vee q$ $\sim(p\vee q)$ $p\downarrow q$
T T T F F
T F T F F
F T T F F
F F F T T
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