Theorems · Theorem · probability

ProbabilityTheory.IdentDistrib.variance_eq

∀ {α : Type u_1} {β : Type u_2} [inst : MeasurableSpace α] [inst_1 : MeasurableSpace β] {μ : MeasureTheory.Measure α}
  {ν : MeasureTheory.Measure β} {f : α → ℝ} {g : β → ℝ},
  ProbabilityTheory.IdentDistrib f g μ ν → ProbabilityTheory.variance f μ = ProbabilityTheory.variance g ν

Defined in

Mathlib.Probability.IdentDistrib

Cited by

2 results in Mathlib

Foundations

Depth 257 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

MeasurableSpaceMeasurableSpace