# Equivalence of expectation condition for contingent claims attainable and contingent claims super replicable

We have the following definitions for set of contingent claims attainable and contingent claims super replicable

I want to prove the following result

How do I show iii $$\implies$$ ii.I understand that it is trivial that $$\mathbb E[f]\leq 0$$.But how do I show the other inequality?