Corollary 1

Tag 00X2, permanent. Cite it as [Bourbaki, Tag 00X2].

Lie Groups and Lie Algebras, chapter VII, § 5. Decomposable linear Lie algebras

Every subalgebra of $\mathfrak{g}\mathfrak{l}(V)$ generated by its decomposable subalgebras is decomposable.

This is clear.

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.

Cited by

Exercise 10, § 5
Exercise 8, § 5
Corollary 2, § 5
Theorem 2, § 5

Cites

Nothing.