proposition: Lemma cpr_eq_pairC a b c : `Pr[ [% TY, TX] = (b, a) | Z = c ] = `Pr[ [% TX, TY] = (a, b) | Z = c ].
proof: Proof. rewrite cpr_eqE. rewrite pr_eq_pairC pr_eq_pairA pr_eq_pairAC -pr_eq_pairA pr_eq_pairC. by rewrite -cpr_eqE. 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