Remark
Tag 0DLI, permanent. Cite it as [Bourbaki, Tag 0DLI].
Algebra, chapter IX, § 6. Propriétés spéciales aux formes hermitiennes
The last assumption of the corollary is satisfied when is the identity, and every element of is the square of an element of (for example when is algebraically closed).
Bourbaki puts the proof directly after the statement, so what is above is the statement and its proof together.
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