Let $Y, X_0, X_1, X_2, \ldots \in \text{Random}(\mathbb{R}^K)$ each be a D4383: Random euclidean real number.

Then the following statements are equivalent

(1)	\begin{equation} X_n \overset{d}{\longrightarrow} Y \quad \text{ as } \quad n \to \infty \end{equation}
(2)	\begin{equation} \forall \, t \in \mathbb{R}^K \left( t \cdot X_n \overset{d}{\longrightarrow} t \cdot Y \quad \text{ as } \quad n \to \infty \right) \end{equation}