Example 3
Tag 0C71, permanent. Cite it as [Bourbaki, Tag 0C71].
General Topology, chapter IX, § 5. Baire spaces
In the space , every linear subspace of dimension is a nowhere dense set (Chapter VI, § 1, no. 4, Proposition 2).
Bourbaki puts the proof directly after the statement, so what is above is the statement and its proof together.
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Nothing.