Theorems · Theorem · measure theory

MeasureTheory.Measure.lintegral_bind_le

∀ {α : Type u_1} {β : Type u_2} {mα : MeasurableSpace α} {mβ : MeasurableSpace β} (f : β → ENNReal)
  (m : MeasureTheory.Measure α) (μ : α → MeasureTheory.Measure β),
  ∫⁻ (x : β), f x ∂m.bind μ ≤ ∫⁻ (a : α), ∫⁻ (x : β), f x ∂μ a ∂m

Defined in

Mathlib.MeasureTheory.Measure.GiryMonad

Cited by

1 results in Mathlib

Foundations

Depth 214 from the axioms · uses propext, Classical.choice, Quot.sound