Theorems · Theorem · measure theory

MeasureTheory.StronglyMeasurable.measurableSet_le

∀ {α : Type u_1} {E : Type u_5} {m : MeasurableSpace α} {f g : α → E} [inst : TopologicalSpace E] [inst_1 : Preorder E]
  [OrderClosedTopology E] [TopologicalSpace.PseudoMetrizableSpace E],
  MeasureTheory.StronglyMeasurable f → MeasureTheory.StronglyMeasurable g → MeasurableSet {a | f a ≤ g a}

Defined in

Mathlib.MeasureTheory.Function.StronglyMeasurable.Basic

Cited by

9 results in Mathlib

Foundations

Depth 164 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpacePreorderOrderClosedTopologyTopologicalSpace.PseudoMetrizableSpace