reserve a,b,c,d,m,x,n,j,k,l for Nat,
  t,u,v,z for Integer,
  f,F for FinSequence of NAT;
reserve p,q,r,s for real number;

theorem
  n>0 implies t divides (t+z)|^n + (t|^n - z|^n)
  proof
    assume n>0; then
A1: t divides -t|^n by INT_2:10,Th6;
    t divides (t+z)|^n - z|^n + t|^n +(-t|^n) by Th10;
    hence thesis by A1,INT_2:1;
  end;
