reserve a,b,c,d,x,j,k,l,m,n,o,xi,xj for Nat,
  p,q,t,z,u,v for Integer,
  a1,b1,c1,d1 for Complex;

theorem D3:
  for c be Integer holds c divides (a-b) implies c divides a|^n - b|^n
  proof
    let c be Integer;
    assume
A1: c divides (a-b);
    (a-b) divides (a|^n - b|^n) by NEWTON01:33;
    hence thesis by A1,INT_2:9;
  end;
