Theorems · Theorem · probability

ProbabilityTheory.Kernel.indepFun_const_right

∀ {α : Type u_1} {Ω : Type u_2} {β : Type u_4} {β' : Type u_5} {mα : MeasurableSpace α} {mΩ : MeasurableSpace Ω}
  {κ : ProbabilityTheory.Kernel α Ω} {μ : MeasureTheory.Measure α} {mβ : MeasurableSpace β} {mβ' : MeasurableSpace β'}
  [ProbabilityTheory.IsZeroOrMarkovKernel κ] (X : Ω → β) (c : β'), ProbabilityTheory.Kernel.IndepFun X (fun x => c) κ μ

Defined in

Mathlib.Probability.Independence.Kernel.IndepFun

Cited by

2 results in Mathlib

Foundations

Depth 181 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

ProbabilityTheory.IsZeroOrMarkovKernel