Theorems · Theorem · measure theory

MeasureTheory.Measure.InnerRegular.map_iff

∀ {α : Type u_1} {β : Type u_2} [inst : MeasurableSpace α] {μ : MeasureTheory.Measure α} [inst_1 : TopologicalSpace α]
  [BorelSpace α] [inst_3 : MeasurableSpace β] [inst_4 : TopologicalSpace β] [BorelSpace β] (f : α ≃ₜ β),
  (MeasureTheory.Measure.map (⇑f) μ).InnerRegular ↔ μ.InnerRegular

Defined in

Mathlib.MeasureTheory.Measure.Regular

Cited by

2 results in Mathlib

Foundations

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

Assumes

MeasurableSpaceTopologicalSpaceBorelSpaceMeasurableSpaceTopologicalSpaceBorelSpace