Definition 3
Tag 06IM, permanent. Cite it as [Bourbaki, Tag 06IM].
Algebra, chapter V, § 4. Algebraically closed extensions
— *Let K be a field. By an algebraic closure of K we understand any extension of K which is algebraic and algebraically closed.
Bourbaki puts the proof directly after the statement, so what is above is the statement and its proof together.
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