Theorems · Theorem · measure theory

MeasureTheory.integral_trim

∀ {G : Type u_5} [inst : NormedAddCommGroup G] [inst_1 : NormedSpace ℝ G] {β : Type u_6} {m m0 : MeasurableSpace β}
  {μ : MeasureTheory.Measure β} (hm : m ≤ m0) {f : β → G},
  MeasureTheory.StronglyMeasurable f → ∫ (x : β), f x ∂μ = ∫ (x : β), f x ∂μ.trim hm

Defined in

Mathlib.MeasureTheory.Integral.Bochner.Basic

Cited by

6 results in Mathlib

Foundations

Depth 256 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedAddCommGroupNormedSpace