Theorems · Theorem · measure theory

MeasureTheory.Integrable.comp_measurable

∀ {α : Type u_1} {ε : Type u_5} {m : MeasurableSpace α} {μ : MeasureTheory.Measure α} [inst : TopologicalSpace ε]
  [inst_1 : ContinuousENorm ε] {α' : Type u_8} [inst_2 : MeasurableSpace α'] {f : α → α'} {g : α' → ε},
  MeasureTheory.Integrable g (MeasureTheory.Measure.map f μ) → Measurable f → MeasureTheory.Integrable (g ∘ f) μ

Defined in

Mathlib.MeasureTheory.Function.L1Space.Integrable

Cited by

14 results in Mathlib

Foundations

Depth 210 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceContinuousENormMeasurableSpace