Example 1

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

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

Let E be a set. The mapping $X \rightarrow E - X$ of $\mathfrak{P}(E)$ (ordered by inclusion) onto itself is strictly decreasing.

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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