Bourbaki

Corollary 2 (Euclid’s lemma)

Tag 06XF, permanent. Cite it as [Bourbaki, Tag 06XF].

Algebra, chapter VI, § 1. Ordered groups. Divisibility

— Let a, b, c be three elements of A. If a is coprime to b and divides bc, then it divides c.

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

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Transcribed from the printed edition, 2003, Springer. Not translated.