Remark 2

Tag 0D1H, permanent. Cite it as [Bourbaki, Tag 0D1H].

Commutative Algebra, chapter X, § 1. Profondeur

When A is a Macaulay ring, one can apply corollary with $d = 1$ (§ 2, No. 5).

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

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