Remark 1
Tag 07FJ, permanent. Cite it as [Bourbaki, Tag 07FJ].
Topological Vector Spaces, II, p. 36, § 5. Separation of convex sets
When , th. 1 can be stated as follows : there exists a continuous linear form in E, such that in and in (II, p. 8, prop. 4).
Bourbaki puts the proof directly after the statement, so what is above is the statement and its proof together.
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