Remark
Tag 0CST, permanent. Cite it as [Bourbaki, Tag 0CST].
Commutative Algebra, chapter VIII, § 7. Multiplicités
One can prove conversely (cf. p. 103, exerc. 4) that if A is regular and , then the sequence is completely secant.
Bourbaki puts the proof directly after the statement, so what is above is the statement and its proof together.
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