Remark 2
Tag 00J2, permanent. Cite it as [Bourbaki, Tag 00J2].
Algebra, VIII, p. 310, § 16. Other Descriptions of the Brauer Group
In Theorem 2, we can replace the assumption that Ω is algebraically closed with the assumption that Ω is separably closed. Indeed, if L is étale, then the image of every K-algebra homomorphism from L to Ω is a separable extension of K.
Bourbaki sets the proof directly after the statement, and the corpus does not separate them, so what is above is the statement and its proof together.
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