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Differentiation under Integral Sign

Using truth t...

Question

Using truth table examine whether the statement pattern $(\sim p \lor q) \to [p Λ (q \lor \sim q)]$ is a tautology, a contradiction or a contingency.

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Solution

$\begin{matrix} B y u sin g t r u t h t a b l e A l l t h e e n t r i e s i n t h e l a s t c o l u m n o f t h e a b o v e t r u t h t a b l e a r e F . H e n c e, (p \land \sim q) \leftrightarrow (p \to q) i s a c o n d t r a d i c t i o n . \end{matrix}$

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