Homework SourseFor propositions pQ and R prove that P Q and Q P are equiv
For propositions p,Q, and R, prove that ~ (P Q) and Q ~ P are equivalent.
Solution
From above table truth values of ~(P^Q) and Q~P are equal so both are equivalent
| P | Q | P^Q | ~(P^Q) | P | Q | ~P | Q~P | |
| T | T | T | F | T | T | F | F | |
| T | F | F | T | T | F | F | T | |
| F | T | F | T | F | T | T | T | |
| F | F | F | T | F | F | T | T |
