
theorem iso:
for F being Field,
    E being F-algebraic FieldExtension of F
for h being F-fixing Monomorphism of E holds h is Automorphism of E
proof
let F be Field, E being F-algebraic FieldExtension of F,
    h be F-fixing Monomorphism of E;
the carrier of E c= rng h & rng h c= the carrier of E by fixr,RELAT_1:def 19;
then h is onto by XBOOLE_0:def 10;
hence thesis;
end;
