ThmDex – An index of mathematical definitions, results, and conjectures.
Result R4580 on D77: Set union
Empty set union equals the empty set
Formulation 0
Let $X_j$ be a D11: Set for each $j \in J$ such that
(i) $\bigcup_{j \in \emptyset} X_j$ is the D77: Set union of $X = \{ X_j \}_{j \in \emptyset}$
Then \begin{equation} \bigcup_{j \in \emptyset} X_j = \emptyset \end{equation}