Theorems · Theorem · measure theory

MeasureTheory.Measure.mul_addHaarScalarFactor_smul

∀ {G : Type u_1} [inst : TopologicalSpace G] [inst_1 : AddGroup G] [inst_2 : IsTopologicalAddGroup G]
  [inst_3 : MeasurableSpace G] [inst_4 : BorelSpace G] [LocallyCompactSpace G] (μ' μ : MeasureTheory.Measure G)
  [inst_6 : μ.IsAddHaarMeasure] [inst_7 : MeasureTheory.IsFiniteMeasureOnCompacts μ'] [inst_8 : μ'.IsAddLeftInvariant]
  {c : NNReal} (hc : c ≠ 0), c * μ'.addHaarScalarFactor (c • μ) = μ'.addHaarScalarFactor μ

Defined in

Mathlib.MeasureTheory.Measure.Haar.Unique

Cited by

1 results in Mathlib

Foundations

Depth 274 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceAddGroupIsTopologicalAddGroupMeasurableSpaceBorelSpaceLocallyCompactSpaceMeasureTheory.Measure.IsAddHaarMeasureMeasureTheory.IsFiniteMeasureOnCompactsMeasureTheory.Measure.IsAddLeftInvariant