ThmDex – An index of mathematical definitions, results, and conjectures.
F13324
Formulation 1
Let $E_j$ be a D11: Set for each $j \in J$ such that
(i) $\cap E$ is a D76: Set intersection for $E = \{ E_j \}_{j \in J}$
Then \begin{equation} \forall \, j \in J : \cap E \subseteq E_j \end{equation}