theorem th03b: :: DBLSEQ_2:27

for Rseq being Function of [:NAT,NAT:],REAL st Partial_Sums Rseq is convergent_in_cod2 holds
lim_in_cod2 (Partial_Sums Rseq) = Partial_Sums (lim_in_cod2 (Partial_Sums_in_cod2 Rseq))