ThmDex – An index of mathematical definitions, results, and conjectures.
F10720
Formulation 0
Let $J$ be a D16: Countable set such that
(i) $X_j$ is a D16: Countable set for each $j \in J$
(ii) $\bigcup_{j \in J} X_j$ is the D77: Set union of $\{ X_j \}_{j \in J}$
Then $\bigcup_{j \in J} X_j$ is a D16: Countable set.