Example 1

Tag 0CWE, permanent. Cite it as [Bourbaki, Tag 0CWE].

Commutative Algebra, chapter IX, § 2. Anneaux de Cohen

For every integer $n \geqslant 1$ , the ring $\mathbf{Z}/p^n\mathbf{Z}$ is a $p$ -ring of length $n$ . The ring $\mathbf{Z}_p$ of $p$ -adic integers is a $p$ -ring of infinite length.

Bourbaki puts the proof directly after the statement, so what is above is the statement and its proof together.

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