  We present a shortened and simplified version of our proof
\cite{Fischer:2006vf} of the uniqueness of the scaling solution for the
infrared asymptotics of Green functions in Landau gauge Yang-Mills theory. The
simplification relates to a new RG-invariant arrangement of Green functions
applicable to general theories. As before the proof relies on the necessary
consistency between Dyson-Schwinger equations (DSEs) and functional
renormalisation group equations (FRGs). We also demonstrate the existence of a
specific scaling solution for both, DSEs and FRGs, that displays uniform and
soft kinematic singularities.
