Corollary 2
Tag 09FX, permanent. Cite it as [Bourbaki, Tag 09FX].
Integration, chapter VII, § 2. Quotient of a space by a group; homogeneous spaces
— For there to exist on a nonzero positive measure invariant under , it is necessary and sufficient that coincide with on .
Bourbaki puts the proof directly after the statement, so what is above is the statement and its proof together.
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Cites
Nothing.