The statement $[(p\rightarrow q)\wedge\sim q]\rightarrow r$ is tautology, when $r$ is equivalent to
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Logic Tip:Modus Tollens rule states that $[(p\rightarrow q)\wedge\sim q] \rightarrow \sim p$ is a tautology. Similarly, it implies $\sim q$.Constructing a quick truth table is a foolproof alternative to algebraic simplification.