:: deftheorem Def45 defines <++> VALUED_2:def 45 :
for Y1, Y2 being complex-functions-membered set
for f being b1 -valued Function
for g being b2 -valued Function
for b5 being Function holds
( b5 = f <++> g iff ( dom b5 = (dom f) /\ (dom g) & ( for x being object st x in dom b5 holds
b5 . x = (f . x) + (g . x) ) ) );