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 Th63:
  for n be prime Nat holds n divides a|^n + 1 iff n divides a+1
  proof
    let n be prime Nat;
    n divides a|^n + 1|^n iff n divides a+1 by Th60;
    hence thesis;
  end;
