Theorems · Theorem · probability

ProbabilityTheory.Kernel.iIndep.ae_isProbabilityMeasure

∀ {α : Type u_1} {Ω : Type u_2} {ι : Type u_3} {_mα : MeasurableSpace α} {m : ι → MeasurableSpace Ω}
  {_mΩ : MeasurableSpace Ω} {κ : ProbabilityTheory.Kernel α Ω} {μ : MeasureTheory.Measure α},
  ProbabilityTheory.Kernel.iIndep m κ μ → ∀ᵐ (a : α) ∂μ, MeasureTheory.IsProbabilityMeasure (κ a)

Defined in

Mathlib.Probability.Independence.Kernel.Indep

Cited by

7 results in Mathlib

Foundations

Depth 179 from the axioms · uses propext, Classical.choice, Quot.sound