Theorems · Theorem · probability

ProbabilityTheory.Kernel.measurable_kernel_prodMk_right

∀ {α : Type u_1} {β : Type u_2} {mα : MeasurableSpace α} {mβ : MeasurableSpace β} {κ : ProbabilityTheory.Kernel α β}
  [ProbabilityTheory.IsSFiniteKernel κ] {s : Set (β × α)},
  MeasurableSet s → Measurable fun y => (κ y) ((fun x => (x, y)) ⁻¹' s)

Defined in

Mathlib.Probability.Kernel.MeasurableLIntegral

Cited by

0 results in Mathlib

Foundations

Depth 199 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

ProbabilityTheory.IsSFiniteKernel