Theorems · Theorem · measure theory

MeasureTheory.Integrable.abs

∀ {α : Type u_1} {m : MeasurableSpace α} {μ : MeasureTheory.Measure α} {β : Type u_8} [inst : NormedAddCommGroup β]
  [inst_1 : Lattice β] [HasSolidNorm β] [IsOrderedAddMonoid β] {f : α → β},
  MeasureTheory.Integrable f μ → MeasureTheory.Integrable (fun a => |f a|) μ

Defined in

Mathlib.MeasureTheory.Function.L1Space.Integrable

Cited by

4 results in Mathlib

Foundations

Depth 222 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedAddCommGroupLatticeHasSolidNormIsOrderedAddMonoid