Definition 13.1.9 (Absolute Value). Let $(E, \le)$ be a vector lattice and $x \in E$, then $|x| = x \vee -x$ is the absolute value of $x$.
Definition 13.1.9 (Absolute Value). Let $(E, \le)$ be a vector lattice and $x \in E$, then $|x| = x \vee -x$ is the absolute value of $x$.