Let $X$ be a D11: Set.
Let $E_j$ be a D11: Set for each $j \in J$ such that

(i)	$\bigcap_{j \in J} E_j$ is the D76: Set intersection of $E = \{ E_j \}_{j \in J}$

Then \begin{equation} X \subseteq \bigcap_{j \in J} E_j \quad \iff \quad \forall \, j \in J : X \subseteq E_j \end{equation}