Theorems · Theorem · measure theory

MeasureTheory.Integrable.comp_add_left

∀ {G : Type u_4} {F : Type u_6} [inst : MeasurableSpace G] [inst_1 : NormedAddCommGroup F] {μ : MeasureTheory.Measure G}
  [inst_2 : AddGroup G] [MeasurableAdd G] {f : G → F} [μ.IsAddLeftInvariant],
  MeasureTheory.Integrable f μ → ∀ (g : G), MeasureTheory.Integrable (fun t => f (g + t)) μ

Defined in

Mathlib.MeasureTheory.Group.Integral

Cited by

2 results in Mathlib

Foundations

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

Assumes

MeasurableSpaceNormedAddCommGroupAddGroupMeasurableAddMeasureTheory.Measure.IsAddLeftInvariant