Corollary 3
Tag 050Z, permanent. Cite it as [Bourbaki, Tag 050Z].
Commutative Algebra, chapter VII, § 2. Dedekind domains
The integral closure of a Dedekind domain in a finite extension of its field of fractions is a Dedekind domain.
Bourbaki puts the proof directly after the statement, so what is above is the statement and its proof together.
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