
theorem lift6a:
for F1,F2 being Field
for p being Polynomial of F1 st F1 == F2 holds p is Polynomial of F2
proof
let F1,F2 be Field, p be Polynomial of F1;
assume F1 == F2; then
F1 is Subfield of F2 by FIELD_7:def 2; then
F1 is Subring of F2 by FIELD_5:12;
hence thesis by FIELD_4:9;
end;
