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

(i)	$\bigcup_{j \in J} E_j$ is a D77: Set union for $\{ E_j \}_{j \in J}$

Then \begin{equation} \forall \, i \in J : E_i \subseteq \bigcup_{j \in J} E_j \end{equation}

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

(i)	$\cup E$ is a D77: Set union for $E = \{ E_j \}_{j \in J}$

Then \begin{equation} \forall \, j \in J : E_j \subseteq \cup E \end{equation}