Theorems · Theorem · measure theory

MeasureTheory.LocallyIntegrable.mul_continuous

∀ {X : Type u_1} {R : Type u_8} [inst : MeasurableSpace X] [inst_1 : TopologicalSpace X] {μ : MeasureTheory.Measure X}
  [OpensMeasurableSpace X] [LocallyCompactSpace X] [T2Space X] [inst_5 : NormedRing R]
  [SecondCountableTopologyEither X R] {f g : X → R},
  Continuous g → MeasureTheory.LocallyIntegrable f μ → MeasureTheory.LocallyIntegrable (fun x => f x * g x) μ

Defined in

Mathlib.MeasureTheory.Function.LocallyIntegrable

Cited by

0 results in Mathlib

Foundations

Depth 222 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

MeasurableSpaceTopologicalSpaceOpensMeasurableSpaceLocallyCompactSpaceT2SpaceNormedRingSecondCountableTopologyEither