The answer available on chegg is not right. If true, then prove. If false, please give counter-example. Remember P(x,y) be a boolean function.

(a) Let P(x,y) be a boolean function. Assume that VxJyP(x,y) is True and that the domain of discourse is nonempty. Which of the following must also be true? If the statement is true, explain; otherwise, give a counter-example. i. VrVyP2,y) ii. 3.cy P(x,y) iii. 3x3y P(x, y)