proposition: Lemma is_convex_hullE X : is_convex_set X = (hull X == X).
proof: Proof. apply/idP/idP => [conv|/eqP <-]; last exact: hull_is_convex. exact/eqP/(hull_cset {| CSet.car := X; CSet.class := CSet.Mixin conv |}). 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