Prove the following statements Hint: Use Contrapositive and DeMorgan's laws to reduce each line to the statements in problem II. Use A for ,"For all" and E for ,"There exists"

given 1, contrapositive 2, demorgans (of the right hand side 3, demorgans (of the left hand side) 4, substitute -C(x) -P(x), substitute -B(x)Q(x) 4. Ax (-C(x)) Ax (-BXright hand side given 1, contrapositive 2, demorgans (of the left hand side) 3, demorgans (of the right hand side) 4, substitute -C(x)-P(x), 4.left hand side 5. substitute -B(y)-Q(y) 1. VXE(x) + VXB(x) => Vx(C(x) + B(x) 2. 3. 4, left hand side 5. given , contrapositive 2, demorgans (of the left hand side) 3, demorgans (of the right hand side) 4, substitute -C(x) P(x),