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QUESTION
Let S be a bounded subset of an ordered field K. satisfying the completeness axiom. Using explictly the axioms of the ordered field show that S has...
Let S be a bounded subset of an ordered field K. satisfying the completeness axiom. Using explictly the axioms of the ordered field show that S has an infimum.
Hint: consider the set T := {−x : x ∈ S}.
