Example 2

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

Theory of Sets, chapter III, § 1. Order relations. Ordered sets

In the notation of Example 1, let G be the union of A and the set $\{2\}$ ; then $G \subset F$ and $\sup_G A$ exists, but $\sup_F A$ does not.

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.

Cited by

Nothing.

Cites

Example 1