Theorems · Theorem · measure theory

AEMeasurable.max

∀ {α : Type u_1} {δ : Type u_4} [inst : TopologicalSpace α] {mα : MeasurableSpace α} [OpensMeasurableSpace α]
  {mδ : MeasurableSpace δ} [inst_2 : LinearOrder α] [SecondCountableTopology α] [OrderClosedTopology α] {f g : δ → α}
  {μ : MeasureTheory.Measure δ}, AEMeasurable f μ → AEMeasurable g μ → AEMeasurable (fun a => max (f a) (g a)) μ

Defined in

Mathlib.MeasureTheory.Constructions.BorelSpace.Order

Cited by

0 results in Mathlib

Foundations

Depth 174 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceOpensMeasurableSpaceLinearOrderSecondCountableTopologyOrderClosedTopology