Proposition 5
Tag 07BD, permanent. Cite it as [Bourbaki, Tag 07BD].
Topological Vector Spaces, chapter II, § 2. Convex sets
— The intersection of any family of convex subsets of an affine space E is convex.
The proposition follows immediately from def. 1 of II, p. 7.
Bourbaki puts the proof directly after the statement, so what is above is the statement and its proof together.
Cited by
Nothing.