Theorems · Theorem · measure theory

nullMeasurableSet_lt

∀ {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]
  {μ : MeasureTheory.Measure δ} {f g : δ → α},
  AEMeasurable f μ → AEMeasurable g μ → MeasureTheory.NullMeasurableSet {a | f a < g a} μ

Defined in

Mathlib.MeasureTheory.Constructions.BorelSpace.Order

Cited by

6 results in Mathlib

Foundations

Depth 178 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceOpensMeasurableSpaceLinearOrderSecondCountableTopologyOrderClosedTopology