Definition 2

Tag 01UM, permanent. Cite it as [Bourbaki, Tag 01UM].

Topologie algébrique, chapter II, § 5. Coégalisateur

The groupoid Coeg( $\varphi , \psi$ ) is called the coequalizer of the pair $(\varphi , \psi )$ ; the groupoid morphism $\gamma$ is called the canonical morphism from G into Coeg( $\varphi , \psi$ ).

Bourbaki sets the proof directly after the statement, and the corpus does not separate them, so what is above is the statement and its proof together.

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