Bourbaki

Remark

Tag 06X3, permanent. Cite it as [Bourbaki, Tag 06X3].

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

We deduce from d) that ∣x∣=0|x| = 0 implies x=0x = 0 (for x+x^+ and x−x^- are positive); thus x≠0x \neq 0 implies ∣x∣>0|x| > 0.

Bourbaki puts the proof directly after the statement, 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, 2003, Springer. Not translated.