The negation of the statement pattern $p v(q \rightarrow \sim r)$ is

Question

Aicharya · Accepted Answer

$\begin{aligned} & \sim\{p \vee(q ightarrow \sim r)\} \equiv \sim p \wedge \sim(q ightarrow \sim r)[\because \sim(p ightarrow q) \equiv p \wedge \sim q] \ & \equiv \sim p \wedge(q \wedge \sim(\sim r)) \ & \equiv \sim p \wedge(q \wedge r)\end{aligned}$

The negation of the statement pattern $p v(q \rightarrow \sim r)$ is

Solution