ThmDex – An index of mathematical definitions, results, and conjectures.
F9616
Formulation 0
Let $E_j$ be a D11: Set for each $j \in J$ such that
(i) $\bigcap_{j \in J} E_j$ is a D76: Set intersection for $\{ E_j \}_{j \in J}$
Then \begin{equation} \forall \, i \in J : \bigcap_{j \in J} E_j \subseteq E_i \end{equation}