Theorems · Theorem · measure theory

AEMeasurable.fun_mul

∀ {M : Type u_2} {α : Type u_3} [inst : MeasurableSpace M] [inst_1 : Mul M] {m : MeasurableSpace α} {f g : α → M}
  {μ : MeasureTheory.Measure α} [MeasurableMul₂ M],
  AEMeasurable f μ → AEMeasurable g μ → AEMeasurable (fun i => f i * g i) μ

Eta-expanded form of AEMeasurable.mul

Defined in

Mathlib.MeasureTheory.Group.Arithmetic

Cited by

14 results in Mathlib

Foundations

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

Assumes

MeasurableSpaceMulMeasurableMul₂