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