The proposition $p \Rightarrow \;\sim (p\; \wedge \sim \,q)$ is
Contradiction
A tautology
Either $(a)$ or $(b)$
Neither $(a)$ nor $(b)$
The contrapositive of $(p \vee q) \Rightarrow r$ is
Statement $\left( {p \wedge q} \right) \to \left( {p \vee q} \right)$ is
The statement $p → (p \leftrightarrow q)$ is logically equivalent to :-
Let $\Delta, \nabla \in\{\wedge, \vee\}$ be such that $( p \rightarrow q ) \Delta( p \nabla q )$ is a tautology. Then
Statement$-I :$ $\sim (p\leftrightarrow q)$ is equivalent to $(p\wedge \sim q)\vee \sim (p\vee \sim q) .$
Statement$-II :$ $p\rightarrow (p\rightarrow q)$ is a tautology.