theorem Th62: :: NCFCONT1:62

for CNS1, CNS2 being ComplexNormSpace
for X being set
for f1, f2 being PartFunc of CNS1,CNS2 st f1 is_continuous_on X & f2 is_continuous_on X holds
( f1 + f2 is_continuous_on X & f1 - f2 is_continuous_on X )