Proposition 5

Tag 0BQQ, permanent. Cite it as [Bourbaki, Tag 0BQQ].

General Topology, chapter IV, § 4. The extended real line

A subset $A$ of $\overline{\mathbf{R}}$ is connected if and only if $A$ is an interval.

Bourbaki puts the proof directly after the statement, so what is above is the statement and its proof together.

Cited by

Nothing.