proposition: Lemma ger_real x y : y <= x -> (x \is real) = (y \is real).
proof: Proof. by move=> le_yx; rewrite -(ler_real le_yx). Qed.
imports: HB(structures) mathcomp(ssreflect ssrfun ssrbool eqtype ssrnat seq choice) mathcomp(ssrAC div fintype path bigop order finset fingroup) mathcomp(ssralg poly)