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I need the proof of proposition please Let S be a linearly ordered set with at least uppr bound property { let S be a

I need the proof of proposition please Let S be a linearly ordered set with at least uppr bound property { let S be a linearly ordered set then S has the least upper bound property if every non empty subset of S that is bounded above has a supeemum in S} Then every non-empty subset of S which is bounded below has an infimum in S Please I need the proof

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