reserve a,b,k,m,n,s for Nat;
reserve c,c1,c2,c3 for Complex;
reserve i,j,z for Integer;
reserve p for Prime;
reserve x for object;

theorem Th3:
  for f being complex-valued FinSequence
  for g being FinSequence of F_Complex st f = g holds
  Product f = Product g
  proof
    let f be complex-valued FinSequence;
    let g be FinSequence of F_Complex;
A1: ex F being FinSequence of COMPLEX st f = F & Product f = multcomplex $$ F
    by RVSUM_1:def 13;
    the multF of F_Complex = multcomplex by COMPLFLD:def 1;
    hence thesis by A1,COMPLFLD:def 1;
  end;
