Theorems · Theorem · probability

ProbabilityTheory.Kernel.compProd_of_not_isSFiniteKernel_left

∀ {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) (η : ProbabilityTheory.Kernel (α × β) γ),
  ¬ProbabilityTheory.IsSFiniteKernel κ → κ.compProd η = 0

Defined in

Mathlib.Probability.Kernel.Composition.CompProd

Cited by

12 results in Mathlib

Foundations

Depth 226 from the axioms · uses propext, Classical.choice, Quot.sound