English
For any basis b, the Haar measure defined by b evaluated on the parallelepiped equals 1.
Русский
Для любого базиса b мера Хаара, заданная базисом, оценивается в параллелепипеде как 1.
LaTeX
$$$b.addHaar(parallelepiped(b)) = 1$$$
Lean4
/-- Measurability of the action of the topological group `G` on the left-coset space `G / Γ`. -/
@[to_additive /-- Measurability of the action of the additive topological group `G` on the
left-coset space `G / Γ`. -/
]
instance measurableSMul {G : Type*} [Group G] {Γ : Subgroup G} [MeasurableSpace G] [TopologicalSpace G]
[IsTopologicalGroup G] [BorelSpace G] [BorelSpace (G ⧸ Γ)] : MeasurableSMul G (G ⧸ Γ)
where
measurable_const_smul g := (continuous_const_smul g).measurable
measurable_smul_const _ := (continuous_id.smul continuous_const).measurable
