theorem :: NFCONT_3:29

for X, X1 being set
for S being RealNormSpace
for f1, f2 being PartFunc of REAL, the carrier of S st f1 | X is Lipschitzian & f2 | X1 is Lipschitzian holds
(f1 - f2) | (X /\ X1) is Lipschitzian