
theorem
for p being Prime holds Frob(Z/p) = id(Z/p)
proof
let p be prime Nat;
I: Char(Z/p) = p by RING_3:77;
now let o be object;
  assume o in the carrier of Z/p;
  then reconsider a = o as Element of Z/p;
  thus (Frob Z/p).o = a|^p by I,defFr .= (id Z/p).o by fresh3;
  end;
hence thesis;
end;
