
theorem lemNor1cx:
for F1,F2 being Field
for p being Ppoly of F1 st F1 == F2 holds p is Ppoly of F2
proof
let F1,F2 be Field, p be Ppoly of F1;
assume F1 == F2; then
F1 is Subfield of F2 by FIELD_7:def 2; then
F2 is FieldExtension of F1 by FIELD_4:7;
hence thesis by FIELD_8:24;
end;
