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LeanMachineLearning.ForMathlib.Probability.Kernel.Composition.Lemmas

Lemmas about composition of kernel #

theorem ProbabilityTheory.Kernel.compProd_prodMkLeft_apply {α : Type u_1} {β : Type u_2} {γ : Type u_3} {mα : MeasurableSpace α} {mβ : MeasurableSpace β} {mγ : MeasurableSpace γ} (ξ : Kernel α β) [IsSFiniteKernel ξ] (κ : Kernel β γ) [IsSFiniteKernel κ] (a : α) :
(ξ.compProd (prodMkLeft α κ)) a = (ξ a).compProd κ