
theorem
  for c be Complex, seq be Complex_Sequence st seq is convergent for
rseq be Real_Sequence st (for m be Nat holds rseq .m = |.seq.m-c.|*
|.seq.m-c.|) holds rseq is convergent & lim rseq = |.lim seq-c.|*|.lim seq-c.|
  by Lm22;
