Sort u →
  {α : Type u_2} →
    {β : Type u_3} →
      [inst : Preorder α] →
        [inst_1 : Preorder β] →
          {l : α → β} →
            {u : β → α} →
              GaloisInsertion l u →
                {α' : Type u_2} →
                  {β' : Type u_3} →
                    [inst' : Preorder α'] →
                      [inst'_1 : Preorder β'] → {l' : α' → β'} → {u' : β' → α'} → GaloisInsertion l' u' → Sort u