The logically equivalent preposition of $p \Leftrightarrow q$ is
$\left( {p \Rightarrow q} \right) \wedge \left( {q \Rightarrow p} \right)$
$p \wedge q$
$\left( {p \wedge q} \right) \vee \left( {q \Rightarrow p} \right)$
$\left( {p \wedge q} \right) \Rightarrow \left( {q \vee p} \right)$
Negation of the compound proposition : If the examination is difficult, then I shall pass if I study hard
The statement $(\sim( p \Leftrightarrow \sim q )) \wedge q$ is :
$\sim (p \Leftrightarrow q)$ is
Negation of the conditional : “If it rains, I shall go to school” is