ThmDex – An index of mathematical definitions, results, and conjectures.
F9877
Formulation 1
Let $M = (X, \mathcal{F}, \mu)$ be a D1158: Measure space such that
(i) $E \in \mathcal{F}$ is a D1109: Measurable set in $M$
(ii) \begin{equation} \mu(E) < \infty \end{equation}
Then \begin{equation} \mu(E^{\complement}) = \mu(X) - \mu(E) \end{equation}