ThmDex – An index of mathematical definitions, results, and conjectures.
F13325
Formulation 1
Let $E_1, \, \ldots, \, E_N$ each be a D11: Set such that
(i) $\cap E$ is a D76: Set intersection for $E = (E_1, \, \ldots, \, E_N)$
Then \begin{equation} \cap E \subseteq E_1, \quad \cap E \subseteq E_2, \quad \ldots, \quad \cap E \subseteq E_N \end{equation}