Theorems · Theorem · measure theory

MeasureTheory.toReal_laverage

∀ {α : Type u_1} {m0 : MeasurableSpace α} {μ : MeasureTheory.Measure α} {f : α → ENNReal},
  AEMeasurable f μ → (∀ᵐ (x : α) ∂μ, f x ≠ ⊤) → (⨍⁻ (x : α), f x ∂μ).toReal = ⨍ (x : α), (f x).toReal ∂μ

Defined in

Mathlib.MeasureTheory.Integral.Average

Cited by

3 results in Mathlib

Foundations

Depth 255 from the axioms · uses propext, Classical.choice, Quot.sound