Suppose S (a subset of R) is an upper bounded set and u is in S. Assume u is an upper bound for S. Show that supS=u.
This seems to be just a definition so how would you prove it? Also, doesn't u have to be the least upper bound (and not just some upper bound)?
u>v, because if u is not the supermum there is an upper bound
which is less than u, and by supposition one such is v.
Since the Roman Empire took from sometime in the 5th or 6th centuryYour proof falls as dramatically as the Roman Empire.
up to 1453 and the death of Constantine XI, other than the last moments
long drawn out is a more appropriate description of the death of the
Emprire.
RonL