Prove each of the following by applying equivalence rules. State the equivalence law you are applying with each step in your proof. i. -(pv (pq)) = -p4-4 ii. p + q + r) =9+ (pr) iii. -(p+q) =PA- iv. p v. p +(Ar) = (p +9)^(pr) vi. (P +9) Aq+r)) (p +r) = T (a tautology)