Theorems · Theorem · measure theory

MeasureTheory.stronglyMeasurable_uncurry_of_continuous_of_stronglyMeasurable

∀ {α : Type u_5} {β : Type u_6} {ι : Type u_7} [inst : TopologicalSpace ι] [TopologicalSpace.MetrizableSpace ι]
  [inst_2 : MeasurableSpace ι] [SecondCountableTopology ι] [OpensMeasurableSpace ι] [inst_5 : TopologicalSpace β]
  [TopologicalSpace.PseudoMetrizableSpace β] [inst_7 : MeasurableSpace α] {u : ι → α → β},
  (∀ (x : α), Continuous fun i => u i x) →
    (∀ (i : ι), MeasureTheory.StronglyMeasurable (u i)) → MeasureTheory.StronglyMeasurable (Function.uncurry u)

Defined in

Mathlib.MeasureTheory.Function.StronglyMeasurable.Basic

Cited by

1 results in Mathlib

Foundations

Depth 166 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpace.MetrizableSpaceMeasurableSpaceSecondCountableTopologyOpensMeasurableSpaceTopologicalSpaceTopologicalSpace.PseudoMetrizableSpaceMeasurableSpace