Word Count : 267

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We need to prove the logical implication: \[ (p \rightarrow q) \wedge (\neg q \rightarrow r) \wedge r \wedge \neg q \Longrightarrow \neg p. \] ### Step-by-Step Proof 1. Expand the Implications: - The material implication \( p \rightarrow q \) is equivalent to \( \neg p \vee q \). - The material ______ _________ ______ ____ ________ ____ ______.
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