proposition: Lemma real_sup_ub E : Real.has_sup E -> Real.ub E (Real.sup E).
proof: Proof. exact: (Real.sup_upper_bound R). Qed.
imports: mathcomp(ssreflect ssrfun ssrbool eqtype ssrnat div order) mathcomp(ssralg ssrnum ssrint rat intdiv) Coq(Morphisms Setoid) fourcolor(real realsyntax)