reserve
F for non 2-characteristic non quadratic_complete polynomial_disjoint Field;

theorem qbase4:
for a being non square Element of F
holds {1.F, sqrt a} is Basis of VecSp(FAdj(F,{sqrt a}),F)
proof
let a be non square Element of F;
Base(sqrt a) = {1.F, sqrt a} by qbase1;
hence thesis by FIELD_6:65;
end;
