Theorems · Theorem · probability

ProbabilityTheory.Kernel.iIndepSet.iIndepFun_indicator

∀ {α : Type u_1} {Ω : Type u_2} {ι : Type u_3} {β : Type u_4} {mα : MeasurableSpace α} {mΩ : MeasurableSpace Ω}
  {κ : ProbabilityTheory.Kernel α Ω} {μ : MeasureTheory.Measure α} [inst : Zero β] [inst_1 : One β]
  {m : MeasurableSpace β} {s : ι → Set Ω},
  ProbabilityTheory.Kernel.iIndepSet s κ μ →
    ProbabilityTheory.Kernel.iIndepFun (fun n => (s n).indicator fun _ω => 1) κ μ

Defined in

Mathlib.Probability.Independence.Kernel.IndepFun

Cited by

2 results in Mathlib

Foundations

Depth 180 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

ZeroOne