Theorems · Theorem · measure theory

MeasureTheory.MeasurePreserving.lintegral_map_equiv

∀ {α : Type u_1} {β : Type u_2} [inst : MeasurableSpace α] [inst_1 : MeasurableSpace β] {μ : MeasureTheory.Measure α}
  {ν : MeasureTheory.Measure β} (f : β → ENNReal) (g : α ≃ᵐ β),
  MeasureTheory.MeasurePreserving (⇑g) μ ν → ∫⁻ (a : β), f a ∂ν = ∫⁻ (a : α), f (g a) ∂μ

Defined in

Mathlib.MeasureTheory.Integral.Lebesgue.Map

Cited by

3 results in Mathlib

Foundations

Depth 204 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

MeasurableSpaceMeasurableSpace