reserve X for ComplexUnitarySpace;
reserve x, y, w, g, g1, g2 for Point of X;
reserve z for Complex;
reserve p, q, r, M, M1, M2 for Real;
reserve seq, seq1, seq2, seq3 for sequence of X;
reserve k,n,m for Nat;
reserve Nseq for increasing sequence of NAT;

theorem Th16:
  seq is convergent implies lim (- seq) = - (lim seq)
proof
  assume seq is convergent;
  then lim ((-1r) * seq) = (-1r) * (lim seq) by Th15;
  then lim (- seq) = (-1r) * (lim seq) by CSSPACE:70;
  hence thesis by CLVECT_1:3;
end;
