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If p, q, r are 3 statements then $$ \sim(( \sim p \rightarrow q) \wedge (\sim p \rightarrow r))$$ is equivalent to
$$p \rightarrow(\sim q \rightarrow \sim r)$$
$$\sim p \wedge (q \rightarrow r)$$
$$\sim p \wedge (q \rightarrow \sim r)$$
$$\sim p \rightarrow (\sim q \rightarrow r)$$
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