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Let F be an ordered field. We say that F has the Cauchy Completeness Property if...

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Advance Math

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.?

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