Theorems · Theorem · measure theory

MeasureTheory.IntegrableOn.comp_neg

∀ {G : Type u_4} {F : Type u_6} [inst : MeasurableSpace G] [inst_1 : NormedAddCommGroup F] {μ : MeasureTheory.Measure G}
  [inst_2 : AddGroup G] [MeasurableNeg G] [μ.IsNegInvariant] {f : G → F} {s : Set G},
  MeasureTheory.IntegrableOn f s μ → MeasureTheory.IntegrableOn (fun x => f (-x)) (-s) μ

Defined in

Mathlib.MeasureTheory.Group.Integral

Cited by

4 results in Mathlib

Foundations

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

Assumes

MeasurableSpaceNormedAddCommGroupAddGroupMeasurableNegMeasureTheory.Measure.IsNegInvariant