Theorems · Theorem · probability

ProbabilityTheory.Kernel.rnDeriv_eq_top_iff

∀ {α : Type u_1} {γ : Type u_2} {mα : MeasurableSpace α} {mγ : MeasurableSpace γ}
  [hαγ : MeasurableSpace.CountableOrCountablyGenerated α γ] (κ η : ProbabilityTheory.Kernel α γ) (a : α) (x : γ),
  κ.rnDeriv η a x = ⊤ ↔ (a, x) ∈ κ.mutuallySingularSet η

Defined in

Mathlib.Probability.Kernel.RadonNikodym

Cited by

1 results in Mathlib

Foundations

Depth 214 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

MeasurableSpace.CountableOrCountablyGenerated