Proving Existence of Integer y and z for x in Positive Integers

[chocolatelover]

Homework Statement

Prove that for all x there exists and x if it is an element of the positive integers, then there is an integer y and an integer z.

Homework Equations

The Attempt at a Solution

I know that the contrapositive would be "If there is not an element of the positive integers, then there is not an integer y or an integer z." I also know that positive integers=1,2,3,...and integers=...-2, -1, 0, 1, 2,...

Could someone please give me a hint or show me what to do from here?

Thank you very much

 

[Dick]

Can you rephrase that in a way that makes any sense whatsoever?