
theorem
for F being Field
for E being F-algebraic FieldExtension of F holds F_Alg E == E
proof
let F be Field, E be F-algebraic FieldExtension of F;
A: E is FieldExtension of F_Alg E by ee;
F_Alg E is FieldExtension of E by t2;
hence F_Alg E == E by A,FIELD_4:7;
end;
