Sure! Let me explain the steps and the logical equivalence rule in more detail.

To find the logical equivalence of the statement (($X$ AND $Y$) IMPLIES ($W$ OR $Z$)), we can use the implication rule. The implication rule states that $A \implies B$ is logically equivalent to $\neg A \lor B$. Here's how we can apply the implication rule to the original statement:

(($X$ AND $Y$) IMPLIES ($W$ OR $Z$))
$\equiv$ (NOT ($X$ AND $Y$)) OR ($W$ OR $Z$)
$\equiv$ (($\neg X$ OR $\neg Y$) OR $W$) OR $Z$

This is the logical equivalent of the original statement. We can also write it as ($\neg (X \land Y)$ OR ($W$ OR $Z$)) to make it more readable.

The implication rule basically states that if $A$ implies $B$, then either $A$ is false or $B$ is true. In other words, if $A$ is true, then $B$ must also be true. If $A$ is false, then the truth value of $B$ doesn't matter, because any statement follows from a false premise.

The implication rule is useful for converting implications to disjunctions. By doing this, we can simplify complex statements and make them easier to work with.
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