Example 3

Tag 03S7, permanent. Cite it as [Bourbaki, Tag 03S7].

Theory of Sets, chapter II, § 3. Correspondences

Let G be a set of ordered pairs. The mapping $\mathrm{pr}_1$ (resp. $\mathrm{pr}_2$ ) of G into $\mathrm{pr}_1\mathrm{G}$ (resp. $\mathrm{pr}_2\mathrm{G}$ ) is surjective; $\mathrm{pr}_1$ is injective if and only if G is a functional graph.

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

Nothing.