Let $X, A, B \in \text{Random}(\mathbb{R})$ each be a D3161: Random real number such that
(i) | \begin{equation} A \overset{a.s.}{\leq } B \end{equation} |
Then
\begin{equation}
\mathbb{P}(X \leq A)
\leq \mathbb{P}(X \leq B)
\end{equation}