
theorem thdegLM:
for R being Ring, p being Polynomial of R holds deg(LM p) = deg p
proof
let R be Ring, p be Polynomial of R;
thus deg(LM p) = len(LM p) - 1 by HURWITZ:def 2
              .= len(p) - 1 by POLYNOM4:15
              .= deg p by HURWITZ:def 2;
end;
