theorem :: FCONT_2:4

for X, X1 being set
for f1, f2 being PartFunc of REAL,REAL st X c= dom f1 & X1 c= dom f2 & f1 | X is uniformly_continuous & f2 | X1 is uniformly_continuous holds
(f1 - f2) | (X /\ X1) is uniformly_continuous