Exercise 8.
Simplify the following statements (so that negation only appears right before variables).
\(\neg(P \imp \neg Q)\text{.}\)
\((\neg P \vee \neg Q) \imp \neg (\neg Q \wedge R)\text{.}\)
\(\neg((P \imp \neg Q) \vee \neg (R \wedge \neg R))\text{.}\)
It is false that if Sam is not a man then Chris is a woman, and that Chris is not a woman.