Theorems · Theorem · probability

ProbabilityTheory.Kernel.lintegral_prodMkRight

∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} {mα : MeasurableSpace α} {mβ : MeasurableSpace β}
  {mγ : MeasurableSpace γ} (κ : ProbabilityTheory.Kernel α β) (ca : α × γ) (g : β → ENNReal),
  ∫⁻ (b : β), g b ∂(ProbabilityTheory.Kernel.prodMkRight γ κ) ca = ∫⁻ (b : β), g b ∂κ ca.1

Defined in

Mathlib.Probability.Kernel.Composition.MapComap

Cited by

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Foundations

Depth 180 from the axioms · uses propext, Classical.choice, Quot.sound