I need to prove each side is a subset of the other.

Let F be a function. Show that U = U

Let (x,y) be U . Then there exists a point F(X) and a point F(y) such that x or y or . Since (x,y) U it follows (x,y) U .

Am i on the right track?

I did the other half but I did not want to waste time typing it if this was wrong, since I used a similar method.