Definition 1

Tag 0ATH, permanent. Cite it as [Bourbaki, Tag 0ATH].

Lie Groups and Lie Algebras, chapter V, § 6. The Coxeter transformation

The Coxeter transformation determined by an ordered chamber $(C, (H_i)_{1 \leq i \leq l})$ is the element $c = s_{H_1} s_{H_2} \cdots s_{H_l}$ of W.

Bourbaki puts the proof directly after the statement, so what is above is the statement and its proof together.

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