
theorem mml:
deg(FAdj(F_Rat,{3-CRoot(2),zeta}), FAdj(F_Rat,{3-CRoot(2)})) = 2
proof
set K = FAdj(F_Rat,{3-CRoot(2)});
the carrier of Polynom-Ring F_Rat c=
           the carrier of Polynom-Ring K by FIELD_4:10; then
reconsider p = X^2+X+1 as Element of the carrier of Polynom-Ring K;
A: FAdj(F_Rat,{3-CRoot(2), zeta})
    = FAdj(F_Rat,{3-CRoot(2)}\/{zeta}) by ENUMSET1:1
   .= FAdj(K,{zeta}) by FIELD_7:35;
deg p = 2 by LL,FIELD_4:20;
hence thesis by A,mmm,FIELD_6:67;
end;
