Remark 2
Tag 0B6S, permanent. Cite it as [Bourbaki, Tag 0B6S].
General Topology, chapter I, § 8. Hausdorff spaces and regular spaces
There are spaces which are Hausdorff but not regular (Exercise 20).
Bourbaki puts the proof directly after the statement, so what is above is the statement and its proof together.
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