Bourbaki

Remark 1

Tag 09PS, permanent. Cite it as [Bourbaki, Tag 09PS].

Integration, IX, p. 45, § 3. Measures and additive set functions

The condition a) clearly implies that I is an increasing mapping of B(T)\mathscr{B}(T) (ordered by inclusion) into R‾+\overline{\mathbf{R}}_+.

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

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Cites

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Transcribed from the printed volume. Not translated.