Definition:Bounded Below Set

Definition
Let $\left({S, \preceq}\right)$ be an ordered set.

A subset $T \subseteq S$ is bounded below (in $S$) iff $T$ admits a lower bound (in $S$).

Otherwise, $T$ is unbounded below (in $S$).

Also see

 * Lower Bound
 * Bounded Above
 * Upper Bound
 * Bounded