Bourbaki

Scholium

Tag 0CN5, permanent. Cite it as [Bourbaki, Tag 0CN5].

Commutative Algebra, chapter VIII, § 3. Dimension des anneaux noethériens

The dimension of a noetherian local ring A is the smallest of the integers d ≥ 0 for which there exists an ideal of definition of A generated by d elements.

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

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