proposition: Lemma maxr_rat : {morph ratr F : x y / Num.max x y}.
proof: Proof. by move=> x y; rewrite !maxEle ler_rat; case: leP. Qed.
imports: HB(structures) mathcomp(ssreflect ssrfun ssrbool eqtype ssrnat seq choice) mathcomp(fintype bigop order ssralg countalg div ssrnum) mathcomp(ssrint prime archimedean)