  We define Frobenius-Eilenberg-Moore objects for a dagger Frobenius monad in
an arbitrary dagger 2-category, and extend to the dagger context a well-known
universal property of the formal theory of monads. We show that the free
completion of a 2-category under Eilenberg-Moore objects extends to the dagger
context, provided one is willing to work with such dagger Frobenius monads
whose endofunctor part suitably commutes with their unit. Finally, we define
dagger lax functors and dagger lax-limits of such functors, and show that
Frobenius-Eilenberg-Moore objects are examples of such limits.
