Difference between revisions of "Axiom of completeness/Statement"
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(Created page with "<noinclude> ==Statement== </noinclude>If {{M|S\subseteq\mathbb{R} }} is a ''non-empty set'' of real numbers that has an upper bound then{{rFAVIDMH}}: * {{M|\text{...") |
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Revision as of 13:56, 2 June 2016
Statement
If [ilmath]S\subseteq\mathbb{R} [/ilmath] is a non-empty set of real numbers that has an upper bound then[1]:
- [ilmath]\text{Sup}(S)[/ilmath] (the supremum of [ilmath]S[/ilmath]) exists.
References
