The contrapositive of the statement "if I am not feeling well, then I will go to the doctor" is

The Boolean expression $(\mathrm{p} \wedge \mathrm{q}) \Rightarrow((\mathrm{r} \wedge \mathrm{q}) \wedge \mathrm{p})$ is equivalent to :

If the inverse of the conditional statement $p \to \left( { \sim q\ \wedge  \sim r} \right)$ is false, then the respective truth values of the statements $p, q$ and $r$ is

Let $p, q, r$ denote arbitrary statements. Then the logically equivalent of the statement $p\Rightarrow (q\vee r)$ is

$\sim ((\sim p)\; \wedge q)$ is equal to

The following statement $\left( {p \to q} \right) \to $ $[(\sim p\rightarrow q) \rightarrow  q ]$ is