Give an example of a statement Px y such that Forallx Revers

Give an example of a statement P(x, y) such that Forall_x Reverse Element_y P(x, y) is true, but Reverse Element_y orall_x P(x, y)

Solution

consider the statement

for all numbers x there exists a number which is square square of x

but

there exists a number which is square of all other numbers , this is not true

P(x,y) : y is sqaure of x