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 Th6:
  n>0 implies t divides t|^n
  proof
    t in INT by INT_1:def 2; then
    consider k such that
    A1: t = k or t = -k by INT_1:def 1;
    t|^n = k|^n or t|^n = -k|^n by A1,POWER:1,2; then
    A2: |.k.| = |.t.| & |.k|^n.| = |.t|^n.| by A1,COMPLEX1:52;
    assume n>0; then
    k|^1 divides k|^n by NEWTON:89,NAT_1:14;
    hence thesis by A2,INT_2:16;
  end;
