Remark 3

Tag 01MM, permanent. Cite it as [Bourbaki, Tag 01MM].

Topologie algébrique, chapter I, § 2. Applications étales

Let $f: X\rightarrow Y$ be a continuous and separated mapping. If the space Y is separated, the space X is separated. This follows from remark 2 and proposition 2 applied with a space Z reduced to a point.

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.

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Cites

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