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Question
Show that (p ∧ q) ≡ ¬p v ¬q
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Solution
| p | q | p ∧ q | ¬(p v q) | ¬p | ¬q | ¬p v ¬q |
| T | T | T | F | F | F | F |
| T | F | F | T | F | T | T |
| F | T | F | T | T | F | T |
| F | F | F | T | T | T | T |
The entries in the columns corresponding to ¬(p ∧ q) and ¬P v ¬q are identical and hence they are equivalent.
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