Theorems · Theorem · measure theory

MeasureTheory.StronglyMeasurable.finStronglyMeasurable_of_set_sigmaFinite

∀ {α : Type u_1} {β : Type u_2} {f : α → β} [inst : TopologicalSpace β] [inst_1 : Zero β] {m : MeasurableSpace α}
  {μ : MeasureTheory.Measure α},
  MeasureTheory.StronglyMeasurable f →
    ∀ {t : Set α},
      MeasurableSet t →
        (∀ x ∈ tᶜ, f x = 0) → MeasureTheory.SigmaFinite (μ.restrict t) → MeasureTheory.FinStronglyMeasurable f μ

Defined in

Mathlib.MeasureTheory.Function.StronglyMeasurable.Basic

Cited by

2 results in Mathlib

Foundations

Depth 195 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceZero