
theorem T5:
for p being Prime
for n being non zero Nat
for F being Field st card F = p|^n holds Char F = p
proof
let p be Prime, n be non zero Nat, F be Field;
assume AS: card F = p|^n; then
B: F is finite; then
consider n1 being non zero Nat such that
A: card F = (Char F)|^n1 by FIELD_15:92;
thus thesis by A,B,AS,lemp;
end;
