Corollary
Tag 0CBA, permanent. Cite it as [Bourbaki, Tag 0CBA].
General Topology, chapter X, § 1. The uniformity of $\mathscr{G}$-convergence
Let B be a dense subset of X. On , the structure of uniform convergence is identical with the structure of uniform convergence in B.
Bourbaki puts the proof directly after the statement, so what is above is the statement and its proof together.
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Cites
Nothing.