Bourbaki

Corollary

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

Algebra, chapter IX, § 7. Formes hermitiennes et corps ordonnés

*The set of isotropic vectors of E is the orthogonal subspace E0E^0 of E for Φ\Phi. In order that Φ\Phi be non-degenerate, it is necessary and sufficient that Φ(x,x)>0\Phi(x, x) > 0 for every x≠0x \neq 0.

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

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