Bourbaki

Proposition 10

Tag 08PK, permanent. Cite it as [Bourbaki, Tag 08PK].

Integration, chapter IV, § 1. Upper integral of a positive function

— If f and g are two numerical functions ⩾0\geqslant 0 defined on X such that f⩽gf \leqslant g, then μ∗(f)⩽μ∗(g)\mu^*(f) \leqslant \mu^*(g).

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

Cited by

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Cites

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Transcribed from the printed volume. Not translated.