  The Mabuchi K-energy map is exhibited as a singular metric on the refined CM
polarization of any equivariant family $\mathbf{X}\overset{p}{\to} S$.
Consequently we show that the generalized Futaki invariant is the leading term
in the asymptotics of the reduced K-energy of the generic fiber of the map $p$.
Properness of the K-energy implies that the generalized Futaki invariant is
strictly negative.
