Theorems · Theorem · probability

ProbabilityTheory.Kernel.measurable_kernel_prodMk_left

∀ {α : Type u_1} {β : Type u_2} {mα : MeasurableSpace α} {mβ : MeasurableSpace β} {κ : ProbabilityTheory.Kernel α β}
  [ProbabilityTheory.IsSFiniteKernel κ] {t : Set (α × β)}, MeasurableSet t → Measurable fun a => (κ a) (Prod.mk a ⁻¹' t)

Defined in

Mathlib.Probability.Kernel.MeasurableLIntegral

Cited by

12 results in Mathlib

Foundations

Depth 198 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

ProbabilityTheory.IsSFiniteKernel