proposition: Lemma realz n : (n%:~R : R) \in Num.real.
proof: Proof. by rewrite -topredE /Num.real /= ler0z lerz0 le_total. Qed.
imports: HB(structures) mathcomp(ssreflect ssrfun ssrbool eqtype ssrnat choice seq) mathcomp(fintype finfun bigop order ssralg countalg ssrnum) mathcomp(poly)