Let $M = (X, \mathcal{T}_d, d)$ be a D1107: Metric space such that

(i)	$\textsf{Convergent}(M)$ is the D2505: Set of convergent sequences in $M$
(ii)	$\textsf{Cauchy}(M)$ is the D724: Set of Cauchy sequences in $M$

Then \begin{equation} \textsf{Convergent}(M) \subseteq \textsf{Cauchy}(M) \end{equation}