Let $M = (X, \mathcal{F}, \mathbb{\mu})$ 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)	$$\begin{equation} E_0 \supseteq E_1 \supseteq E_2 \supseteq \cdots \end{equation}$$
(iii)	$$\begin{equation} \exists \, n \in \mathbb{N} : \mu(E_n) < \infty \end{equation}$$

Then $$\begin{equation} \lim_{n \to \infty} \mu(E_n) = \mu \left( \bigcap_{n \in \mathbb{N}} E_n \right) \end{equation}$$

Let $M = (X, \mathcal{F}, \mathbb{\mu})$ 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)	$$\begin{equation} E_0 \supseteq E_1 \supseteq E_2 \supseteq \cdots \end{equation}$$
(iii)	$$\begin{equation} \exists \, n \in \mathbb{N} : \mu(E_n) < \infty \end{equation}$$

Then $$\begin{equation} \lim_{n \to \infty} \mu(E_n) = \mu \left( \lim_{n \to \infty} E_n \right) \end{equation}$$