Let F be an ordered field. We say that F has the CauchyCompleteness Property if every Cauchy sequence in F converges in F.Prove that the Cauchy Completeness Property and the ArchimedeanProperty imply the Least Upper Bound Property.
Recall:
Least Upper Bound Property: Let F be an ordered field. F has theLeast Upper Bound Property if every nonempty subset of F that isbounded above has a least upper bound.?
