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 $P$
(ii)	\begin{equation} \mathbb{P}(X = Y) = 1 \end{equation}

Then \begin{equation} X \overset{d}{=} Y \end{equation}