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Theorems on Integration

Show that p...

Question

Show that $p \to q \equiv (\sim p) \lor q$ , by using truth table.

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Solution

Truth table
$p$ $q$ $p \lor p$ $(\lor p) \lor p$ $p \to q$
T T F T T
T F F F F
F T T T T
F F T T T
From truth table the coloumns $p \to q$ and $(\lor p) \lor q$ are identical
$p \to q \equiv (\lor p) \lor q$

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