reserve n,n1,n2,m for Nat;
reserve r,g1,g2,g,g9 for Complex;
reserve R,R2 for Real;
reserve s,s9,s1 for Complex_Sequence;

theorem
  s9 is convergent & s is convergent & (lim s)<>0c & s is non-zero
  implies lim (s9/"s)*' = ((lim s9)*')/((lim s)*')
proof
  assume
A1: s9 is convergent & s is convergent & (lim s)<>0c & s is non-zero;
  then s9/"s is convergent by Th26;
  hence lim (s9/"s)*' = (lim (s9/"s))*' by Th11
    .= ((lim s9)/(lim s))*' by A1,Th27
    .= ((lim s9)*')/((lim s)*') by COMPLEX1:37;
end;
