{G : Type u_6} →
  {α : Type u_7} →
    [inst : Zero G] →
      [inst_1 : VAdd G α] →
        [inst_2 : MeasurableSpace α] →
          {ν : MeasureTheory.Measure α} →
            {motive : MeasureTheory.HasAddFundamentalDomain G α ν → Sort u} →
              (t : MeasureTheory.HasAddFundamentalDomain G α ν) →
                ((ExistsIsAddFundamentalDomain : ∃ s, MeasureTheory.IsAddFundamentalDomain G s ν) → motive ⋯) → motive t