Theorems · Theorem · measure theory

MeasureTheory.IntegrableOn.comp_neg_Ici

∀ {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 : AddCommGroup G] [IsOrderedAddMonoid G] [MeasurableNeg G] [μ.IsNegInvariant]
  {c : G} {f : G → F},
  MeasureTheory.IntegrableOn f (Set.Iic (-c)) μ → MeasureTheory.IntegrableOn (fun x => f (-x)) (Set.Ici c) μ

Defined in

Mathlib.MeasureTheory.Group.Integral

Cited by

1 results in Mathlib

Foundations

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

Assumes

MeasurableSpaceNormedAddCommGroupPartialOrderAddCommGroupIsOrderedAddMonoidMeasurableNegMeasureTheory.Measure.IsNegInvariant