proposition: Lemma pr_eq_pairAC a b c : `Pr[ [% TX, TY, TZ] = (a, b, c) ] = `Pr[ [% TX, TZ, TY] = (a, c, b)].
proof: Proof. by rewrite !pr_eqE; apply eq_bigl => u; rewrite !inE /= !xpair_eqE andbAC. 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