Example 1

Tag 0BI5, permanent. Cite it as [Bourbaki, Tag 0BI5].

General Topology, chapter III, § 2. Subgroups, quotient groups, homomorphisms homogeneous spaces, product groups

Let $H$ be a subgroup of a topological group $G$ . $H$ operates continuously on $G$ by the external law $(s, x) \to sx$ . $H$ also operates continuously on $G$ by the external law $(x, s) \to sxs^{-1}$ .

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

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