Theorems · Theorem · probability

ProbabilityTheory.IdentDistrib.comp

∀ {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} {u : γ → δ},
  ProbabilityTheory.IdentDistrib f g μ ν → Measurable u → ProbabilityTheory.IdentDistrib (u ∘ f) (u ∘ g) μ ν

Defined in

Mathlib.Probability.IdentDistrib

Cited by

22 results in Mathlib

Foundations

Depth 207 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

MeasurableSpaceMeasurableSpaceMeasurableSpaceMeasurableSpace