$$\text { Determine whether the following two propositions are logically equivalent: } p \rightarrow ( \neg q \wedge r ) , \neg p \vee \neg ( r \rightarrow q )$$

Name: \[\text { Determine whether the following two propositions are logically equivalent: } p \rightarrow ( \neg q \wedge r ) , \neg p \vee \neg ( r \rightarrow q )\]
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The Answer of $$\text { Determine whether the following two propositions are logically equivalent: } p \rightarrow ( \neg q \wedge r ) , \neg p \vee \neg ( r \rightarrow q )$$