Supremum and infimum

Then go through the following proofs:

\(\sup(A + B) = \sup A + \sup B\)
Let \(E\) be a set of real numbers that is nonempty and bounded above. If \(F \subset E\), then \(\sup F \le \sup E\).
401.2A Proof using supremum
Matthew Salomone
401.1X Finishing supremum proof
Matthew Salomone