  We extend the inductive approach to the lace expansion, previously developed
to study models with critical dimension 4, to be applicable more generally. In
particular, the result of this note has recently been used to prove Gaussian
asymptotic behaviour for the Fourier transform of the two-point function for
sufficiently spread-out lattice trees in dimensions d>8, and it is potentially
also applicable to percolation in dimensions d>6.
