The negation of a statement 'x $$\in$$ A $$\cap$$ B $$\to$$ (x $$\in$$ A and x $$\in$$ B)' is

The logical expression $$\mathrm{p} \wedge(\sim \mathrm{p} \vee \sim \mathrm{q}) \equiv$$

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

The statement pattern $p \wedge(q \vee \sim p)$ is equivalent to