The usual proof of renormalizability using the Callan-Symanzik equation mak
es explicit use of normalization conditions. It is shown that demanding tha
t the renormalization group functions take the form required for minimal su
btraction allows one to prove renormalizability using the Callan-Symanzik e
quation, without imposing normalization conditions. Scalar field theory and
quantum electrodynamics are treated. (C) 1999 Elsevier Science B.V.