Theorems · Theorem · measure theory

Continuous.stronglyMeasurableAtFilter

∀ {α : Type u_1} {β : Type u_2} {mα : MeasurableSpace α} [inst : TopologicalSpace α] [OpensMeasurableSpace α]
  [inst_2 : TopologicalSpace β] [TopologicalSpace.PseudoMetrizableSpace β] [SecondCountableTopologyEither α β]
  {f : α → β}, Continuous f → ∀ (μ : MeasureTheory.Measure α) (l : Filter α), StronglyMeasurableAtFilter f l μ

Defined in

Mathlib.MeasureTheory.Integral.IntegrableOn

Cited by

1 results in Mathlib

Foundations

Depth 199 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceOpensMeasurableSpaceTopologicalSpaceTopologicalSpace.PseudoMetrizableSpaceSecondCountableTopologyEither