Theorems · Theorem · measure theory

MeasureTheory.lintegral_trim

∀ {α : Type u_1} {m m0 : MeasurableSpace α} {μ : MeasureTheory.Measure α} (hm : m ≤ m0) {f : α → ENNReal},
  Measurable f → ∫⁻ (a : α), f a ∂μ.trim hm = ∫⁻ (a : α), f a ∂μ

Defined in

Mathlib.MeasureTheory.Integral.Lebesgue.Add

Cited by

7 results in Mathlib

Foundations

Depth 204 from the axioms · uses propext, Classical.choice, Quot.sound