Example 2

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

Commutative Algebra, chapter X, § 9. Modules dualisants

For a noetherian ring $A$ to be Gorenstein, it is necessary and sufficient that the $A$ -module $A$ be dualizing ( $\S$ 3, No. 7, prop. 11). In particular, the $A$ -module $A$ is dualizing when $A$ is regular.

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

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