reserve X for set;
reserve a,b,c,k,m,n for Nat;
reserve i,j for Integer;
reserve r,s for Real;
reserve p,p1,p2,p3 for Prime;
reserve z for Complex;

theorem Th9:
  z|^19 = z*z*z*z*z*z*z*z*z*z*z*z*z*z*z*z*z*z*z
  proof
A1: 19 = 18+1;
    z|^18 = z*z*z*z*z*z*z*z*z*z*z*z*z*z*z*z*z*z by Th8;
    hence thesis by A1,NEWTON:6;
  end;
