Bourbaki

Example 7

Tag 02D9, permanent. Cite it as [Bourbaki, Tag 02D9].

Théories spectrales, chapter I, § 6. Algèbres stellaires

Let A be a stellar algebra. If M⊂AM\subset A is any subset, then the closed involutive subalgebra of A generated by M is a stellar algebra, called the stellar subalgebra of A generated by M. If A is moreover unital, then the closed involutive unital subalgebra generated by M is a unital stellar algebra, called the unital stellar subalgebra of A generated by M.

Bourbaki sets the proof directly after the statement, and the corpus does not separate them, so what is above is the statement and its proof together.

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Cites

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Machine translation of the English, by gpt-5-6-mini, gpt-5.4, against glossary version 34. Not checked by a person. That model is a cut down version of the one the rest of this language was written by.