proposition: Lemma fsdistmap_id (A : choiceType) : fsdistmap (@id A) = @id {dist A}.
proof: Proof. by rewrite boolp.funeqE => a; rewrite /fsdistmap fsdistbind1. 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