proposition: Lemma finsupp_conv_subr a b p : p != 0%:pr -> finsupp a `<=` finsupp (a <|p|> b).
proof: Proof. move=> p0. rewrite /conv supp_fsdist_conv' (negPf p0). by case: ifP=> ?; [exact: fsubset_refl | exact: fsubsetUl]. 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