proposition: Lemma open_unit_interval_convex : is_convex_set (fun x => 0 < x < 1)%coqR.
proof: Proof. exact: open_interval_convex. Qed.
imports: HB(structures) mathcomp(all_ssreflect ssralg fingroup perm matrix) mathcomp(mathcomp_extra boolp classical_sets Rstruct) mathcomp(ssrnum ereal) mathcomp(lra Rstruct reals) Reals ssrR Reals_ext Ranalysis_ext ssr_ext ssralg_ext logb realType_ext fdist