Corollary 1

Tag 0D1D, permanent. Cite it as [Bourbaki, Tag 0D1D].

Commutative Algebra, chapter X, § 1. Profondeur

The mapping which associates to each connected component of $U$ its closure in $\mathrm{Spec}(A)$ is a bijection of the set of connected components of $U$ onto the set of connected components of $\mathrm{Spec}(A)$ .

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

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