Definition 13.1.4 (Order Bounded). Let $(E, \le)$ be an ordered vector space and $A \subset E$, then $A$ is order bounded if there exists $x, y \in E$ such that $A \subset [x, y]$.
Definition 13.1.4 (Order Bounded). Let $(E, \le)$ be an ordered vector space and $A \subset E$, then $A$ is order bounded if there exists $x, y \in E$ such that $A \subset [x, y]$.