Theorems · Theorem · probability

ProbabilityTheory.IsRatCondKernelCDFAux.nonneg

∀ {α : Type u_1} {β : Type u_2} {mα : MeasurableSpace α} {mβ : MeasurableSpace β}
  {κ : ProbabilityTheory.Kernel α (β × ℝ)} {ν : ProbabilityTheory.Kernel α β} {f : α × β → ℚ → ℝ},
  ProbabilityTheory.IsRatCondKernelCDFAux f κ ν → ∀ (a : α), ∀ᵐ (c : β) ∂ν a, ∀ (q : ℚ), 0 ≤ f (a, c) q

Defined in

Mathlib.Probability.Kernel.Disintegration.CDFToKernel

Cited by

3 results in Mathlib

Foundations

Depth 177 from the axioms · uses propext, Classical.choice, Quot.sound