Axiom of completeness/Statement
From Maths
< Axiom of completeness
Revision as of 13:56, 2 June 2016 by Alec (Talk | contribs) (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{...")
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