Definition 1

Tag 00VW, permanent. Cite it as [Bourbaki, Tag 00VW].

Lie Groups and Lie Algebras, chapter VII, § 4. Regular elements of a Lie group

An element $g\in G$ is called regular for the linear representation $\rho$ if $r_{\rho}(g) =r^0_{\rho}(g)$ .

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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