Remark 2
Tag 0ARH, permanent. Cite it as [Bourbaki, Tag 0ARH].
Lie Groups and Lie Algebras, chapter V, § 4. The geometric representation of a Coxeter group
We have thus shown that every Coxeter matrix corresponds to a Coxeter group.
Bourbaki puts the proof directly after the statement, so what is above is the statement and its proof together.
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