ThmDex – An index of mathematical definitions, results, and conjectures.
F10311
Formulation 0
Let $P = (\Omega, \mathcal{F}, \mathbb{P}, T)$ be a D2839: Probability-preserving system such that
(i) $E \in \mathcal{F}$ is an D1716: Event in $P$
Then \begin{equation} \forall \, n \in \mathbb{N} : \mathbb{P}(T^{-n} E) = \mathbb{P}(E) \end{equation}