{G : Type u} →
  [inst : CategoryTheory.Groupoid G] →
    [inst_1 : IsFreeGroupoid G] →
      (T : WideSubquiver (Quiver.Symmetrify (IsFreeGroupoid.Generators G))) →
        [inst_2 : Quiver.Arborescence (WideSubquiver.toType (Quiver.Symmetrify (IsFreeGroupoid.Generators G)) T)] →
          {a : G} →
            Quiver.Path (Quiver.root (WideSubquiver.toType (Quiver.Symmetrify (IsFreeGroupoid.Generators G)) T)) a →
              (IsFreeGroupoid.SpanningTree.root'✝ T ⟶ a)