Example 6

Tag 03TP, permanent. Cite it as [Bourbaki, Tag 03TP].

Theory of Sets, chapter II, § 6. Equivalence relations

\* The relation " $x \in \mathbf{Z}$ and $y \in \mathbf{Z}$ and $x - y$ is divisible by 4" is an equivalence relation on $\mathbf{Z}$ .\*

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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