Let $P = (\Omega, \mathcal{F}, \mathbb{P})$ be a D1159: Probability space such that
(i) | $X, Y : \Omega \to \Xi$ are each a D202: Random variable on $P$ |
Then
\begin{equation}
X
\overset{a.s.}{=} Y
\quad \implies \quad
X \overset{d}{=} Y
\end{equation}