Let $M = (X, \mathcal{F}, \mu)$ be a D1158: Measure space such that
| (i) | $E_0, E_1, E_2, \ldots \in \mathcal{F}$ are each a D1109: Measurable set in $M$ |
| (ii) | \begin{equation} \sum_{n \in \mathbb{N}} \mu(E_n) < \infty \end{equation} |
Then
| (1) | \begin{equation} \mu \left( \bigcap_{n = 1}^{\infty} \bigcup_{m = n}^{\infty} E_m \right) = 0 \end{equation} |
| (2) | \begin{equation} \mu(\{ x \in X : \# \{ n \in \mathbb{N} : x \in E_n \} = \infty \}) = 0 \end{equation} |