Definition 4
Tag 09TT, permanent. Cite it as [Bourbaki, Tag 09TT].
Lie Groups and Lie Algebras, chapter I, § 1. Definition of Lie algebras
A submodule of g which is stable under every derivation of g is called a characteristic ideal of g.
Bourbaki puts the proof directly after the statement, so what is above is the statement and its proof together.
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