Definition:Lower Bound of Mapping

Definition
Let $f: S \to T$ be a mapping whose codomain is a poset $\left({T, \preceq}\right)$.

Let $f$ be bounded below in $T$ by $H \in T$.

Then $H$ is a lower bound of $f$.

Also see

 * Bounded Below
 * Bounded Above
 * Upper Bound
 * Bounded