theorem :: FCONT_1:36

for X, X1, Z, Z1 being set
for f1, f2 being PartFunc of REAL,REAL st f1 | X is Lipschitzian & f2 | X1 is Lipschitzian & f1 | Z is bounded & f2 | Z1 is bounded holds
(f1 (#) f2) | (((X /\ Z) /\ X1) /\ Z1) is Lipschitzian