proposition: Lemma cPr_diff F1 F2 E : `Pr_[F1 :\: F2 | E] = `Pr_[F1 | E] - `Pr_[F1 :&: F2 | E].
proof: Proof. by rewrite /cPr -divRBl setIDAC Pr_diff setIAC. 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