Remark 1
Tag 07OD, permanent. Cite it as [Bourbaki, Tag 07OD].
Topological Vector Spaces, III, p. 26, § 4. The Banach-Steinhaus theorem
The property expressed by cor. 2 does not imply that E is barrelled : we shall see later that the strong dual of a Fréchet space possesses this property, while not necessarily being barrelled (IV, p. 23, cor. to prop. 2 and p. 58, exerc.
Bourbaki puts the proof directly after the statement, so what is above is the statement and its proof together.
Cited by
Nothing.