Theorems · Theorem · measure theory

AEMeasurable.fun_const_smul

∀ {M : Type u_2} {X : Type u_3} {α : Type u_4} [inst : MeasurableSpace X] [inst_1 : SMul M X] {m : MeasurableSpace α}
  {μ : MeasureTheory.Measure α} {g : α → X} [MeasurableConstSMul M X],
  AEMeasurable g μ → ∀ (c : M), AEMeasurable (fun i => c • g i) μ

Eta-expanded form of AEMeasurable.const_smul

Defined in

Mathlib.MeasureTheory.Group.Arithmetic

Cited by

2 results in Mathlib

Foundations

Depth 176 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

MeasurableSpaceSMulMeasurableConstSMul