ThmDex – An index of mathematical definitions, results, and conjectures.
Result R4168 on D70: Set difference
Difference of set and countable intersection equals union of differences
Formulation 0
Let $X$ be a D11: Set.
Let $E_n$ be a D11: Set for each $n \in \mathbb{N}$.
Then \begin{equation} X \setminus \bigcap_{n \in \mathbb{N}} E_n = \bigcup_{n \in \mathbb{N}} (X \setminus E_n) \end{equation}