proposition: Lemma ceil_rat : {mono (@ratr F) : x / Num.ceil x}.
proof: Proof. by move=> x; rewrite /Num.ceil -rmorphN floor_rat. Qed.
imports: HB(structures) mathcomp(ssreflect ssrfun ssrbool eqtype ssrnat seq choice) mathcomp(fintype bigop order ssralg countalg div ssrnum) mathcomp(ssrint prime archimedean)