
theorem
not X^2-2 splits_in F_Rat
proof
now assume X^2-2 splits_in F_Rat; then
consider a being non zero Element of F_Rat, q being Ppoly of F_Rat such that
A: X^2-2 = a * q by FIELD_4:def 5;
thus contradiction by A;
end;
hence thesis;
end;
