Bourbaki

Theorem 2 ("Zorn's lemma")

Tag 03QT, permanent. Cite it as [Bourbaki, Tag 03QT].

Theory of Sets, chapter III, § 2. Well-ordered sets

— Every inductive ordered set has a maximal element.

This theorem is a particular case of the following result :

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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Transcribed from the printed edition, 2004, Springer. Not translated.