Absorption Law with Negation

Question

Would absorption law work for statements with neagations in them like $( \neg q \land \neg r) \lor r$?

Answer 1

Perhaps this is what you want: $$ ( \neg Q \land \neg R) \lor R = (\neg Q \lor R) \land (\neg R \lor R) $$

Note that $\neg R \lor R$ is always true, so the above becomes: $$\neg Q \lor R.$$