reserve n for Nat;

theorem Th25:
for R being domRing,
    p being Polynomial of R
for a being non zero Element of R holds deg(a*p) = deg p
proof
let L be domRing, p be Polynomial of L; let v be non zero Element of L;
len(v*p) = len p by Th25a;
hence deg(v*p) = len p - 1 by HURWITZ:def 2 .= deg p by HURWITZ:def 2;
end;
