Theorems · Theorem · measure theory

MeasureTheory.integrable_const_mul_iff

∀ {α : Type u_1} {m : MeasurableSpace α} {μ : MeasureTheory.Measure α} {𝕜 : Type u_8} [inst : NormedRing 𝕜] {c : 𝕜},
  IsUnit c → ∀ (f : α → 𝕜), MeasureTheory.Integrable (fun x => c * f x) μ ↔ MeasureTheory.Integrable f μ

Defined in

Mathlib.MeasureTheory.Function.L1Space.Integrable

Cited by

0 results in Mathlib

Foundations

Depth 200 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedRing