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Answer to Question #16496 in Real Analysis for sherly
Question #16496
show that a nonempty finite set s subsets R contains its supremum
Expert's answer
Every finite subset in R is linearly ordered by "<=".
So this subset can
be presented as a1<=a2<=...<=a_n.
Thus a_n belongs to this subset,
and it is its maximum and supremum at the same time.
So this subset can
be presented as a1<=a2<=...<=a_n.
Thus a_n belongs to this subset,
and it is its maximum and supremum at the same time.
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