Definition 8

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

Topologie algébrique, chapter II, § 3. Groupoïdes

One says that $G/H$ is the quotient groupoid of G by H and that $p: G\rightarrow G/H$ is the canonical morphism.

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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