proposition: Lemma barycenter_map (T : finType) (F : T -> A) : barycenter [seq F i | i <- enum T] = \ssum_i F i.
proof: Proof. by rewrite /barycenter big_map big_filter. 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