Corollary 3

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

Theory of Sets, chapter III, § 5. Properties of integers

If $a$ and $b$ are integers, $a^b$ is an integer.

For $a^b$ is the product of a finite family of integers all equal to $a$ ( $\S\,3$ , no. 5, Proposition 10).

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

§ 3, no. 5, Proposition 10