ThmDex – An index of mathematical definitions, results, and conjectures.
Lebesgue sigma-algebra is closed under reflections
Formulation 1
Let $M = (\mathbb{R}^N, \mathcal{L}, \ell)$ be a D1744: Lebesgue measure space such that
(i) $E \in \mathcal{L}$ is a D1109: Measurable set in $M$
Then \begin{equation} - E \in \mathcal{L} \end{equation}