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 $$\begin{equation} X \overset{a.s.}{=} Y \quad \implies \quad X \overset{d}{=} Y \end{equation}$$