Quantcast
Channel: Active questions tagged real-analysis - Mathematics Stack Exchange
Viewing all articles
Browse latest Browse all 9741

Prove that $\text{glb}(A)=\text{lub}(A) \iff A$ contains just one element.

$
0
0

Prove that $\text{glb}(A)=\text{lub}(A) \iff A$ contains just one element.

I understand that if a set has only one element, say $x$, then $x$ would be the lower upper bound as well as the greatest lower bound. I am trying to figure out what laws or theorems I need to use in order to back this statement up with.


Viewing all articles
Browse latest Browse all 9741

Trending Articles



<script src="https://jsc.adskeeper.com/r/s/rssing.com.1596347.js" async> </script>