Corollary

Tag 0BV9, permanent. Cite it as [Bourbaki, Tag 0BV9].

General Topology, chapter V, § 1. Subgroups and quotient groups of R

Let $G$ be a topological group isomorphic to $\mathbf{R}$ . For each $a \in G$ there is exactly one continuous homomorphism $f_a$ of $\mathbf{R}$ into $G$ such that $f_a(1) = a$ , and this homomorphism is an isomorphism of $\mathbf{R}$ onto $G$ if $a$ is not the zero element of $G$ .

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

Cited by

Theorem 1, § 4

Cites

Nothing.