Theorems · Theorem · measure theory

MeasureTheory.Measure.addHaarScalarFactor_eq_mul

∀ {G : Type u_1} [inst : TopologicalSpace G] [inst_1 : AddGroup G] [inst_2 : IsTopologicalAddGroup G]
  [inst_3 : MeasurableSpace G] [inst_4 : BorelSpace G] (μ' μ ν : MeasureTheory.Measure G) [inst_5 : μ.IsAddHaarMeasure]
  [inst_6 : ν.IsAddHaarMeasure] [inst_7 : MeasureTheory.IsFiniteMeasureOnCompacts μ'] [inst_8 : μ'.IsAddLeftInvariant],
  μ'.addHaarScalarFactor ν = μ'.addHaarScalarFactor μ * μ.addHaarScalarFactor ν

Defined in

Mathlib.MeasureTheory.Measure.Haar.Unique

Cited by

6 results in Mathlib

Foundations

Depth 272 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceAddGroupIsTopologicalAddGroupMeasurableSpaceBorelSpaceMeasureTheory.Measure.IsAddHaarMeasureMeasureTheory.Measure.IsAddHaarMeasureMeasureTheory.IsFiniteMeasureOnCompactsMeasureTheory.Measure.IsAddLeftInvariant