  Within the framework of the Exact Renormalization Group, a manifestly gauge
invariant calculus is constructed for SU(N) Yang-Mills. The methodology is
comprehensively illustrated with a proof, to all orders in perturbation theory,
that the beta function has no explicit dependence on either the seed action or
details of the covariantization of the cutoff. The cancellation of these
non-universal contributions is done in an entirely diagrammatic fashion.
