Corollary 1

Tag 03N2, permanent. Cite it as [Bourbaki, Tag 03N2].

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

If $\mathfrak{a}$ is an infinite cardinal, then $\mathfrak{a}^n = \mathfrak{a}$ for every integer $n \geqslant 1$ .

By induction on $n$ .

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

Proposition 5, § 6

Cites

Nothing.