theorem Th23: :: NCFCONT1:23

for CNS1, CNS2 being ComplexNormSpace
for h1, h2 being PartFunc of CNS1,CNS2
for seq being sequence of CNS1 st rng seq c= (dom h1) /\ (dom h2) holds
( (h1 + h2) /* seq = (h1 /* seq) + (h2 /* seq) & (h1 - h2) /* seq = (h1 /* seq) - (h2 /* seq) )