
theorem PF:
for p being Prime
for n being non zero Nat
for F being GaloisField of p|^n holds PrimeField F = Z/p
proof
let p be Prime, n be non zero Nat, F being GaloisField of p|^n;
A: Z/p is strict Subfield of F by defGal;
   for E being strict Subfield of Z/p holds E = Z/p by RING_3:109;
hence thesis by A,RING_3:92;
end;
