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Implication

Using truth t...

Question

Using truth table show that $\sim (p \to\sim q) \equiv p \land q$

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Solution

$p$ $q$ $\sim q$ $p \to\sim q$ $\sim (p \to\sim q)$
$p \land q$
T T F F T T
T F T T F F
F T F T F F
F F T T F F
From the above truth table, it is proved that
$\sim (p \to\sim q) \equiv p \land q$

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