Theorems · Theorem · measure theory

MeasureTheory.Integrable.comp_div_left

∀ {G : Type u_4} {F : Type u_6} [inst : MeasurableSpace G] [inst_1 : NormedAddCommGroup F] {μ : MeasureTheory.Measure G}
  [inst_2 : Group G] [MeasurableMul G] [MeasurableInv G] {f : G → F} [μ.IsInvInvariant] [μ.IsMulLeftInvariant],
  MeasureTheory.Integrable f μ → ∀ (g : G), MeasureTheory.Integrable (fun t => f (g / t)) μ

Defined in

Mathlib.MeasureTheory.Group.Integral

Cited by

1 results in Mathlib

Foundations

Depth 210 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

MeasurableSpaceNormedAddCommGroupGroupMeasurableMulMeasurableInvMeasureTheory.Measure.IsInvInvariantMeasureTheory.Measure.IsMulLeftInvariant