
theorem
for R being non degenerated comRing
for p being Element of the carrier of Polynom-Ring R
holds (Deriv R).(p|^0) = 0_.(R)
proof
let R be non degenerated comRing,
    p be Element of the carrier of Polynom-Ring R;
p|^0 = 1_(Polynom-Ring R) by BINOM:8 .= 1_.(R) by POLYNOM3:def 10;
hence thesis by der1;
end;
