proposition: Lemma Pr_fdistAC (A B C : finType) (P : {fdist A * B * C}) E F G : Pr (fdistAC P) (E `* G `* F) = Pr P (E `* F `* G).
proof: Proof. by rewrite /fdistAC Pr_fdistX Pr_fdistA Pr_fdistC12. Qed.
imports: mathcomp(all_ssreflect ssralg ssrnum matrix) mathcomp(Rstruct reals) Reals Lra ssrR Reals_ext realType_ext logb ssr_ext ssralg_ext bigop_ext fdist