Theorems · Theorem · measure theory

AEMeasurable.edist

∀ {α : Type u_1} {β : Type u_2} [inst : PseudoEMetricSpace α] [inst_1 : MeasurableSpace α] [OpensMeasurableSpace α]
  [inst_3 : MeasurableSpace β] [SecondCountableTopology α] {f g : β → α} {μ : MeasureTheory.Measure β},
  AEMeasurable f μ → AEMeasurable g μ → AEMeasurable (fun a => edist (f a) (g a)) μ

Defined in

Mathlib.MeasureTheory.Constructions.BorelSpace.Metric

Cited by

0 results in Mathlib

Foundations

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

Assumes

PseudoEMetricSpaceMeasurableSpaceOpensMeasurableSpaceMeasurableSpaceSecondCountableTopology