Definition 1
Tag 0BTO, permanent. Cite it as [Bourbaki, Tag 0BTO].
General Topology, chapter IV, § 7. Infinite sums and products of real numbers
A series of finite real numbers is said to be absolutely convergent if the series of absolute values of its terms is convergent.
Bourbaki puts the proof directly after the statement, so what is above is the statement and its proof together.
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