Theorems · Theorem · measure theory

Measurable.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},
  Measurable f → Measurable g → Measurable fun a => max (f a) (g a)

Defined in

Mathlib.MeasureTheory.Constructions.BorelSpace.Order

Cited by

5 results in Mathlib

Foundations

Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceOpensMeasurableSpaceLinearOrderSecondCountableTopologyOrderClosedTopology