Theorem 1
Tag 0DNK, permanent. Cite it as [Bourbaki, Tag 0DNK].
Algebra, chapter IX, § 9. Algèbres de Clifford
Suppose that the -module admits a basis , the set of indices being endowed with a total ordering. For every finite subset of , put , where is the strictly increasing sequence of the elements of . Then the elements form a basis of the -module .
Bourbaki puts the proof directly after the statement, so what is above is the statement and its proof together.
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