reserve n,n1,n2,m for Nat,
  r,r1,r2,p,g1,g2,g for Real,
  seq,seq9,seq1 for Real_Sequence,
  y for set;
reserve g for Complex;
reserve s,s1,s9 for Complex_Sequence;

theorem
  for s being convergent Complex_Sequence
  holds lim |.-s.| = |.lim s.|
proof
  let s being convergent Complex_Sequence;
  thus lim |.-s.| = |.lim (-s).| by Th27
    .= |.-(lim s).| by COMSEQ_2:22
    .= |.lim s.| by COMPLEX1:52;
end;
