proposition: Lemma maxr_nMl x y z : x <= 0 -> max y z * x = min (y * x) (z * x).
proof: Proof. by move=> x_le0; apply: real_maxr_nMl. Qed.
imports: HB(structures) mathcomp(ssreflect ssrfun ssrbool eqtype ssrnat seq choice) mathcomp(ssrAC div fintype path bigop order finset fingroup) mathcomp(ssralg poly)