Proposition 2

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

Commutative Algebra, chapter VIII, § 7. Multiplicités

Suppose that A is local regular (§ 5, No. 1, def. 1); one has $e(A) = 1$ . This follows from th. 1 of § 5, No. 2.

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

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