Theorems · Theorem · probability

ProbabilityTheory.IdentDistrib.trans

∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} {δ : Type u_4} [inst : MeasurableSpace α] [inst_1 : MeasurableSpace β]
  [inst_2 : MeasurableSpace γ] [inst_3 : MeasurableSpace δ] {μ : MeasureTheory.Measure α} {ν : MeasureTheory.Measure β}
  {f : α → γ} {g : β → γ} {ρ : MeasureTheory.Measure δ} {h : δ → γ},
  ProbabilityTheory.IdentDistrib f g μ ν →
    ProbabilityTheory.IdentDistrib g h ν ρ → ProbabilityTheory.IdentDistrib f h μ ρ

Defined in

Mathlib.Probability.IdentDistrib

Cited by

2 results in Mathlib

Foundations

Depth 197 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

MeasurableSpaceMeasurableSpaceMeasurableSpaceMeasurableSpace