proposition: Lemma product_ruleC E F G : \Pr_P [ E `* F | G] = \Pr_(fdistA (fdistC12 P)) [F | E `* G] * \Pr_(fdist_proj13 P) [E | G].
proof: Proof. by rewrite -jcPr_TripC12 jproduct_rule_cond. Qed.
imports: mathcomp(all_ssreflect ssralg matrix) mathcomp(Rstruct) Reals ssrR realType_ext Reals_ext logb ssr_ext ssralg_ext bigop_ext fdist proba