Theorems · Theorem · measure theory

MeasureTheory.IntegrableOn.comp_inv_Iic

∀ {G : Type u_4} {F : Type u_6} [inst : MeasurableSpace G] [inst_1 : NormedAddCommGroup F] {μ : MeasureTheory.Measure G}
  [inst_2 : PartialOrder G] [inst_3 : CommGroup G] [IsOrderedMonoid G] [MeasurableInv G] [μ.IsInvInvariant] {c : G}
  {f : G → F}, MeasureTheory.IntegrableOn f (Set.Ici c⁻¹) μ → MeasureTheory.IntegrableOn (fun x => f x⁻¹) (Set.Iic c) μ

Defined in

Mathlib.MeasureTheory.Group.Integral

Cited by

0 results in Mathlib

Foundations

Depth 211 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

MeasurableSpaceNormedAddCommGroupPartialOrderCommGroupIsOrderedMonoidMeasurableInvMeasureTheory.Measure.IsInvInvariant