Example 4

Tag 03S8, permanent. Cite it as [Bourbaki, Tag 03S8].

Theory of Sets, chapter II, § 3. Correspondences

Let G be a set of ordered pairs. The mapping

z \to (\mathrm{pr}_2 z,\ \mathrm{pr}_1 z)

of G into $\overset{-1}{\mathrm{G}}$ is a bijection (called the canonical bijection).

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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