Let $E_1, \, \ldots, \, E_N$ each be a D11: Set such that

(i)	$\bigcap_{n = 1}^N E_n$ is a D76: Set intersection for $E_1, \, \ldots, \, E_N$

Then \begin{equation} \bigcap_{n = 1}^N E_n \subseteq E_1, \quad \bigcap_{n = 1}^N E_n \subseteq E_2, \quad \ldots, \quad \bigcap_{n = 1}^N E_n \subseteq E_N \end{equation}

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}