Theorems · Theorem · measure theory

measurableSet_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] {f g : δ → α},
  Measurable f → Measurable g → MeasurableSet {a | f a < g a}

Defined in

Mathlib.MeasureTheory.Constructions.BorelSpace.Order

Cited by

19 results in Mathlib

Foundations

Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceOpensMeasurableSpaceLinearOrderSecondCountableTopologyOrderClosedTopology