Let $E_n$ be a D11: Set for each $n \in \mathbb{N}$ such that

(i)	$\bigcap_{n \in \mathbb{N}} E_n$ is a D76: Set intersection for $\{ E_n \}_{n \in \mathbb{N}}$

Then \begin{equation} \forall \, k \in \mathbb{N} : \bigcap_{n \in \mathbb{N}} E_n \subseteq E_k \end{equation}

Let $E_n$ be a D11: Set for each $n \in \mathbb{N}$ such that

(i)	$\bigcap_{n \in \mathbb{N}} E_n$ is a D76: Set intersection for $\{ E_n \}_{n \in \mathbb{N}}$

Then \begin{equation} \bigcap_{n \in \mathbb{N}} E_n \subseteq E_1, \quad \bigcap_{n \in \mathbb{N}} E_n \subseteq E_2, \quad \bigcap_{n \in \mathbb{N}} E_n \subseteq E_3, \quad \ldots \end{equation}