∀ {α : Type u_1} {β : Type u_2} {mα : MeasurableSpace α} {mβ : MeasurableSpace β} {κ η : ProbabilityTheory.Kernel α β}
  {s : Set α} {hs : MeasurableSet s} [inst : DecidablePred fun x => x ∈ s] [ProbabilityTheory.IsFiniteKernel κ]
  [ProbabilityTheory.IsFiniteKernel η], ProbabilityTheory.IsFiniteKernel (ProbabilityTheory.Kernel.piecewise hs κ η)