
theorem thLC:
for R being non degenerated Ring
for p being non zero Polynomial of R holds p.(deg p) = LC p
proof
let R be non degenerated Ring, p be non zero Polynomial of R;
deg p = len p - 1 by HURWITZ:def 2;
hence p.(deg p) = p.(len p -'1) by XREAL_0:def 2
               .= LC p by RATFUNC1:def 6;
end;
