Bourbaki

Corollary 1

Tag 03K8, permanent. Cite it as [Bourbaki, Tag 03K8].

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

The only isomorphism of a well-ordered set E onto a segment of E is the identity mapping of E onto itself.

Put F=EF=E in Theorem 3.

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

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