Definition 1
Tag 07O1, permanent. Cite it as [Bourbaki, Tag 07O1].
Topological Vector Spaces, III, p. 24, § 4. The Banach-Steinhaus theorem
A set T satisfying the equivalent conditions of prop. 1 is said to be a barrel in E.
Bourbaki puts the proof directly after the statement, so what is above is the statement and its proof together.
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