Let $X_n, Y_n, Z_n \in \mathsf{Random}(\mathbb{R}^D)$ each be a D4383: Random euclidean real number for each $n \in \mathbb{N}$ such that

(i)	\begin{equation} X_n - Y_n \overset{p}{\longrightarrow} 0 \quad \text{ as } \quad n \to \infty \end{equation}
(ii)	\begin{equation} Y_n - Z_n \overset{p}{\longrightarrow} 0 \quad \text{ as } \quad n \to \infty \end{equation}

Then \begin{equation} X_n - Z_n \overset{p}{\longrightarrow} 0 \quad \text{ as } \quad n \to \infty \end{equation}