
theorem lift3a:
for F being Field
for A1,A2 being AlgebraicClosure of F st A1 is A2-extending holds A2 == A1
proof
let F be Field, E1,E2 be AlgebraicClosure of F;
assume E1 is E2-extending;
then reconsider K = E1 as E2-extending FieldExtension of F;
K is E2-algebraic by FIELD_7:40;
hence thesis by ClA;
end;
