∀ {G : Type u_1} {α : Type u_3} [inst : AddGroup G] [inst_1 : AddAction G α] [inst_2 : MeasurableSpace α]
  {ν : autoParam (MeasureTheory.Measure α) MeasureTheory.AddQuotientMeasureEqMeasurePreimage._auto_1}
  {μ : MeasureTheory.Measure (Quotient (AddAction.orbitRel G α))},
  (∀ (t : Set α),
      MeasureTheory.IsAddFundamentalDomain G t ν →
        μ = MeasureTheory.Measure.map (Quotient.mk (AddAction.orbitRel G α)) (ν.restrict t)) →
    MeasureTheory.AddQuotientMeasureEqMeasurePreimage ν μ