ThmDex – An index of mathematical definitions, results, and conjectures.
Result R2270 on D84: Sigma-algebra
Sigma-algebra is closed under symmetric differences
Formulation 0
Let $M = (X, \mathcal{F})$ be a D1108: Measurable space such that
(i) $E, F \in \mathcal{F}$ are each a D1109: Measurable set in $M$
Then \begin{equation} E \triangle F \in \mathcal{F} \end{equation}