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;
reserve a,b,c,d,m,x,n,k,l for Nat,
  t,z for Integer,
  f,F,G for FinSequence of REAL;
reserve q,r,s for real number;
reserve D for set;

theorem
  for k,n be prime Nat holds n*k divides (2|^n - 2)*(2|^k -2)
  proof
    let k,n be prime Nat;
    n divides 2|^n - 2 & k divides 2|^k -2 by Th40;
    hence thesis by NAT_3:1;
  end;
