Theorems · Theorem · probability

ProbabilityTheory.Kernel.densityProcess_fst_univ_ae

∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} {mα : MeasurableSpace α} {mβ : MeasurableSpace β}
  {mγ : MeasurableSpace γ} [inst : MeasurableSpace.CountablyGenerated γ] (κ : ProbabilityTheory.Kernel α (γ × β))
  [ProbabilityTheory.IsFiniteKernel κ] (n : ℕ) (a : α), ∀ᵐ (x : γ) ∂κ.fst a, κ.densityProcess κ.fst n a x Set.univ = 1

Defined in

Mathlib.Probability.Kernel.Disintegration.Density

Cited by

2 results in Mathlib

Foundations

Depth 207 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

MeasurableSpace.CountablyGeneratedProbabilityTheory.IsFiniteKernel