reserve q,th,r for Real,
  a,b,p for Real,
  w,z for Complex,
  k,l,m,n,n1,n2 for Nat,
  seq,seq1,seq2,cq1 for Complex_Sequence,
  rseq,rseq1,rseq2 for Real_Sequence,
  rr for set,
  hy1 for 0-convergent non-zero Real_Sequence;
reserve d for Real;

theorem
  (exp((th*<i>)))*'=exp(-(th*<i>))
proof
 (exp((th*<i>)))*'=(Sum((th*<i>) ExpSeq))*' by Def14
    .=Sum((-(th*<i>)) ExpSeq) by Lm4
    .=exp(-(th*<i>)) by Def14;
  hence thesis;
end;
