Definition 1

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

Topologie algébrique, chapter I, § 2. Applications étales

Let X and Y be topological spaces. A continuous mapping $f: X\rightarrow Y$ is said to be separated if it satisfies the equivalent conditions of proposition 1.

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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