Definition 5

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

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

A sequence $(x_n)_{n \in \mathbf{N}}$ of elements of a set E is said to be stationary if there exists an integer $m$ such that $x_n = x_m$ for all integers $n \geqslant m$ .

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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