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}