Let $G$ be a D22: Group such that
(i) | $E \subseteq G$ is a D78: Subset of $G$ |
(ii) | \begin{equation} E \neq \emptyset \end{equation} |
(iii) | $\langle E \rangle$ is a D1301: Generated subgroup of $G$ with generator $E$ |
Then
\begin{equation}
\langle E \rangle
= \left\{ g^{n_1}_1 g^{n_2}_2 \cdots g^{n_m}_m \mid m \in 1, 2, 3, \ldots; \, n_1, \ldots, n_m \in \mathbb{Z}; \, g_1, \ldots, g_m \in E \right\}
\end{equation}