Definition 3

Tag 03N6, permanent. Cite it as [Bourbaki, Tag 03N6].

Theory of Sets, chapter III, § 6. Infinite sets

A set is said to be countable if it is equipotent to a subset of the set $\mathbf{N}$ of integers.

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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