- #1

chocolatelover

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## 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