Theorems · Theorem · measure theory

MeasureTheory.AEEqFun.coeFn_compMeasurePreserving

∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} [inst : MeasurableSpace α] {μ : MeasureTheory.Measure α}
  [inst_1 : TopologicalSpace γ] [inst_2 : MeasurableSpace β] {ν : MeasureTheory.Measure β} {f : α → β} (g : β →ₘ[ν] γ)
  (hf : MeasureTheory.MeasurePreserving f μ ν), ↑(g.compMeasurePreserving f hf) =ᵐ[μ] ↑g ∘ f

Defined in

Mathlib.MeasureTheory.Function.AEEqFun

Cited by

4 results in Mathlib

Foundations

Depth 213 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

MeasurableSpaceTopologicalSpaceMeasurableSpace