
theorem
for F being ordered polynomial_disjoint Field
for a being non square Element of F
st FAdj(F,{sqrt a}) is non formally_real holds -a in QS F
proof
let F be ordered polynomial_disjoint Field, a be non square Element of F;
assume A: FAdj(F,{sqrt a}) is non formally_real;
(sqrt a)^2 = a by FIELD_9:53;
hence thesis by A,FF2;
end;
