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

By giving a counterexample,show that the following statement is not true.
$p:$ If all the angles of a triangle are equal,then the triangle is an obtuse-angled triangle.

The statement pattern $[p$ $\rightarrow(q$ $\rightarrow p)]$ $\rightarrow[p$ $\rightarrow(p \vee q)]$ is

The Boolean expression $(p \wedge \sim q) \vee q \vee (\sim p \wedge q)$ is equivalent to:

The logically equivalent proposition of $p \Leftrightarrow q$ is

The biconditional statement $p \Leftrightarrow q$ is equivalent to: