Definition:Lower Bound of Set

Definition
Let $\left({S, \preceq}\right)$ be a poset.

Let $T \subseteq S$ be bounded below in $S$ by an element $m \in S$.

Then $m$ is a lower bound for $T$.

Also defined as
Some sources use the terminology the lower bound for the notion of infimum.

Also see

 * Upper Bound


 * Bounded Below
 * Bounded Above
 * Bounded