ThmDex – An index of mathematical definitions, results, and conjectures.
F9036
Formulation 1
Let $X$ be a D11: Set such that
(i) $\mathcal{F}$ is a D84: Sigma-algebra on $X$
(ii) \begin{equation} E_0, E_1, E_2, \ldots \in \mathcal{F} \end{equation}
Then \begin{equation} \bigcap_{n \in \mathbb{N}} E_n \in \mathcal{F} \end{equation}