Sufficient conditions are proven for 't Hooft's consistency conditions
to hold at points in the moduli space of supersymmetric gauge theorie
s. Known results for anomaly matching in supersymmetric QCD are rederi
ved as a sample application of the results. The results can be used to
show that the anomaly matching conditions hold for s-confining theori
es. (C) 1997 Published by Elsevier Science B.V.