problems/0008.md

Theorem: Let $G_1$ and $G_2$ be two objects in the category $\mathcal{G}\mathrm{rp}$ of groups.\nomenclature{$\mathcal{G}\mathrm{rp}$}{the category of groups} 
The coproduct of $G_1$ and $G_2$ in $\mathcal{G}\mathrm{rp}$ is equivalent to the free product of $G_1$ and $G_2$.