Example 2

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

Commutative Algebra, chapter VIII, § 1. Dimension de Krull d’un anneau

Dedekind rings are noetherian integrally closed rings of dimension $\leqslant 1$ (VII, § 2, No. 2, th. 1). More generally, by V, § 1, No. 2, cor. 2 to prop. 9, a ring is a finite product of Dedekind rings if and only if it is noetherian, reduced, integrally closed in its total ring of fractions, and of dimension $\leqslant 1$ .

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

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