proposition: Lemma P_ge0 X : (0 <= P X)%E.
proof: Proof. apply esum_ge0=> x _. rewrite lee_fin. exact: d0. Qed.
imports: HB(structures) mathcomp(all_ssreflect ssralg ssrnum) mathcomp(finmap) Reals mathcomp(mathcomp_extra) mathcomp(classical_sets boolp cardinality Rstruct reals) mathcomp(ereal topology esum measure probability) ssrR realType_ext Reals_ext ssr_ext ssralg_ext bigop_ext fdist convex mathcomp(measure probability)