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Prove that q^^~p -=~ (q to p)...

Prove that `q^^~p -=~ (q to p)`

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To prove that \( q \land \neg p \equiv \neg (p \to q) \), we will analyze both sides of the equation step by step. ### Step 1: Understand the expressions We need to prove that the left-hand side (LHS) \( q \land \neg p \) is equivalent to the right-hand side (RHS) \( \neg (p \to q) \). ### Step 2: Rewrite the RHS using implication Recall that the implication \( p \to q \) can be rewritten as \( \neg p \lor q \). Therefore, we can rewrite the RHS as: \[ ...
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