proposition: Fact le_rat_total : total le_rat.
proof: Proof. by move=> x y; rewrite !le_ratE; apply: le_total. Qed.
imports: HB(structures) mathcomp(ssreflect ssrfun ssrbool eqtype ssrnat seq choice) mathcomp(fintype bigop order ssralg countalg div ssrnum) mathcomp(ssrint prime archimedean)