Corollary 2

Tag 0D1E, permanent. Cite it as [Bourbaki, Tag 0D1E].

Commutative Algebra, chapter X, § 1. Profondeur

For every noetherian local ring B of depth $\geq 2$ , the topological space $\operatorname{Spec}(B) - \{ m_B \}$ is connected.

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

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