  We prove that connectors are stable under quotients in any (regular) Goursat
category. As a consequence, the category $\mathsf{Conn}(\mathbb{C})$ of
connectors in $\mathbb{C}$ is a Goursat category whenever $\mathbb C$ is. This
implies that Goursat categories can be characterised in terms of a simple
property of internal groupoids.
