ThmDex – An index of mathematical definitions, results, and conjectures.
F8926
Formulation 0
Let $M = (X, \mathcal{F})$ be a D1108: Measurable space.
Let $\mu : \mathcal{F} \to [0, \infty]$ be a D85: Unsigned basic measure on $M$ such that
(i) $\mu(X) < \infty$
Then \begin{equation} \mu(\mathcal{F}) \subseteq [0, \mu(X)] \end{equation}