Which of the following is true?

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(B) The statement $(p$ $\rightarrow q) \equiv (\sim q$ $\rightarrow \sim p)$ is the contrapositive of the implication,which is logically equivalent.Us

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$(p$ $\rightarrow q) \equiv (\sim q$ $\rightarrow \sim p)$

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(B) The statement $(p$ $\rightarrow q) \equiv (\sim q$ $\rightarrow \sim p)$ is the contrapositive of the implication,which is logically equivalent.Using the definition of implication $p \rightarrow q \equiv \sim p \vee q$:For the contrapositive: $\sim q \rightarrow \sim p \equiv \sim (\sim q) \vee \sim p$$\equiv q \vee \sim p$$\equiv \sim p \vee q$$\equiv p \rightarrow q$Thus,$(p$ $\rightarrow q) \equiv (\sim q$ $\rightarrow \sim p)$ is true.

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