Theorems · Theorem · probability

ProbabilityTheory.Kernel.rnDeriv_add

∀ {α : Type u_1} {γ : Type u_2} {mα : MeasurableSpace α} {mγ : MeasurableSpace γ}
  [hαγ : MeasurableSpace.CountableOrCountablyGenerated α γ] (κ ν η : ProbabilityTheory.Kernel α γ)
  [ProbabilityTheory.IsFiniteKernel κ] [ProbabilityTheory.IsFiniteKernel ν] [ProbabilityTheory.IsFiniteKernel η]
  (a : α), (κ + ν).rnDeriv η a =ᵐ[η a] κ.rnDeriv η a + ν.rnDeriv η a

Defined in

Mathlib.Probability.Kernel.RadonNikodym

Cited by

0 results in Mathlib

Foundations

Depth 334 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

MeasurableSpace.CountableOrCountablyGeneratedProbabilityTheory.IsFiniteKernelProbabilityTheory.IsFiniteKernelProbabilityTheory.IsFiniteKernel