Theorems · Theorem · probability

ProbabilityTheory.Kernel.lintegral_snd

∀ {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 × γ)) (a : α) {g : γ → ENNReal},
  Measurable g → ∫⁻ (c : γ), g c ∂κ.snd a = ∫⁻ (bc : β × γ), g bc.2 ∂κ a

Defined in

Mathlib.Probability.Kernel.Composition.MapComap

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Foundations

Depth 206 from the axioms · uses propext, Classical.choice, Quot.sound