Bourbaki

Example 7

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

Commutative Algebra, chapter VIII, § 5. Anneaux locaux réguliers

Let AA be a regular local noetherian ring. We shall see later that the local noetherian ring ApA_p is regular for every prime ideal pp of AA.

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

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