reserve n for Nat;

theorem BR5aaa:
for R being domRing,
    a,b being Element of R st b <> a holds multiplicity(rpoly(1,a),b) = 0
proof
let R be domRing, a,b be Element of R;
set p = rpoly(1,a);
assume a <> b;
then not rpoly(1,b) divides rpoly(1,a) by div100;
hence multiplicity(p,b) = 0 by multipp0;
end;
