Remark 5

Tag 018Q, permanent. Cite it as [Bourbaki, Tag 018Q].

Lie Groups and Lie Algebras, chapter VIII, § 12. Chevalley orders

Let B be a basis of R; in conditions (i) and (ii) above, “ $\alpha \in$ R” can be replaced by “ $\alpha \in B\cup (-$ B)” (loc. cit).

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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