Theorems · Theorem · Lie groups

AddEquiv.isAddHaarMeasure_map

∀ {G : Type u_1} [inst : MeasurableSpace G] [inst_1 : AddGroup G] [inst_2 : TopologicalSpace G]
  (μ : MeasureTheory.Measure G) [μ.IsAddHaarMeasure] [BorelSpace G] [ContinuousAdd G] {H : Type u_3}
  [inst_6 : AddGroup H] [inst_7 : TopologicalSpace H] [inst_8 : MeasurableSpace H] [BorelSpace H]
  [IsTopologicalAddGroup H] (e : G ≃+ H),
  Continuous ⇑e → Continuous ⇑e.symm → (MeasureTheory.Measure.map (⇑e) μ).IsAddHaarMeasure

A convenience wrapper for MeasureTheory.Measure.isAddHaarMeasure_map.

Defined in

Mathlib.MeasureTheory.Group.Measure

Cited by

1 results in Mathlib

Foundations

Depth 203 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

MeasurableSpaceAddGroupTopologicalSpaceMeasureTheory.Measure.IsAddHaarMeasureBorelSpaceContinuousAddAddGroupTopologicalSpaceMeasurableSpaceBorelSpaceIsTopologicalAddGroup