
theorem
for R being non degenerated Ring
for n being Ordinal
for p being Polynomial of n,R holds Lt (LM p) = Lt p & LC (LM p) = LC p
proof
let R be non degenerated Ring, n be Ordinal, p be Polynomial of n,R;
thus Lt (LM p) = Lt p by lemZ;
thus LC (LM p) = (LM p).(Lt p) by lemZ .= LC p by lemY;
end;
