ThmDex – An index of mathematical definitions, results, and conjectures.
F10345
Formulation 0
Let $M = (X, \mathcal{F}, \mu)$ be a D1158: Measure space such that
(i) $E, F \in \mathcal{F}$ are each a D1109: Measurable set in $M$
(ii) $E \subseteq F$ is a D78: Subset of $F$
(iii) \begin{equation} \mu(E) < \infty \end{equation}
Then \begin{equation} \mu(E \triangle F) = \mu(F) - \mu(E) \end{equation}