proposition: Lemma ltrz1 n : (n%:~R < 1 :> R) = (n < 1).
proof: Proof. by rewrite -[1]/(1%:~R) ltr_int. Qed.
imports: HB(structures) mathcomp(ssreflect ssrfun ssrbool eqtype ssrnat choice seq) mathcomp(fintype finfun bigop order ssralg countalg ssrnum) mathcomp(poly)