A is a non empty group which is bounded from the top.(adsbygoogle = window.adsbygoogle || []).push({});

prove that S=sup A if and only if S is the upper bound of of A

and there i a series of numbers An (An which belongs to A) so An->S

i was proposed a general solution:

presume that supA=S

show that there is a series An (An belongs to A) so lim An=s (n goes to infinity)

and there is a sketch here:

http://img66.imageshack.us/img66/3286/img9144rf7.jpg

how to make a formal proof for it??

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# Help in building a formal proof

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