Bourbaki

Corollary 2

Tag 02P7, permanent. Cite it as [Bourbaki, Tag 02P7].

Théories spectrales, chapter III, § 1. Applications linéaires compactes

If the separated completion of a locally convex space E is an approximation space, then E is an approximation space.

Bourbaki sets the proof directly after the statement, and the corpus does not separate them, so what is above is the statement and its proof together.

Cited by

Nothing.

Cites

Nothing.

Machine translation of the English, by gpt-5-6-mini, gpt-5-mini, gpt-5.4, against glossary version 34. Not checked by a person. That model is a cut down version of the one the rest of this language was written by.