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 Th62:
  for n be prime Nat holds n divides a iff n divides a|^n
  proof
    let n be prime Nat;
    a divides a|^n by NAT_3:3;
    hence thesis by NAT_D:4, NAT_3:5;
  end;
