Example 1

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

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

Let A be a set. In the subset of $\mathfrak{P}(A)$ (ordered by inclusion) consisting of the non-empty subsets of A, the minimal elements are the subsets consisting of a single element.

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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