Example 5

Tag 03S9, permanent. Cite it as [Bourbaki, Tag 03S9].

Theory of Sets, chapter II, § 3. Correspondences

Let A be a set and $b$ an object. The mapping $x \to (x,\ b)$ of A into $\mathrm{A} \times \{b\}$ is a 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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