Bourbaki

Corollary 1

Tag 090J, permanent. Cite it as [Bourbaki, Tag 090J].

Integration, chapter V, § 2. Summable families of positive measures

— For every compact (resp. open and relatively compact) subset M of X,

ν(M)=∑α∈Aλα(M). \nu(M) = \sum_{\alpha \in A} \lambda_\alpha(M).

Bourbaki puts the proof directly after the statement, so what is above is the statement and its proof together.

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Transcribed from the printed volume. Not translated.