  The paper reports on some results concerning Aqvist's dyadic logic known as
system G, which is one of the most influential logics for reasoning with dyadic
obligations ("it ought to be the case that ... if it is the case that ...").
Although this logic has been known in the literature for a while, many of its
properties still await in-depth consideration. In this short paper we show:
that any formula in system G including nested modal operators is equivalent to
some formula with no nesting; that the universal modality introduced by Aqvist
in the first presentation of the system is definable in terms of the deontic
modality.
