proposition: Lemma prob_mulR_subproof (p q : {prob R}) : (0 <= Prob.p p * Prob.p q <= 1)%O.
proof: Proof. apply/andP; split. by rewrite mulr_ge0. by rewrite mulr_ile1. Qed.
imports: mathcomp(all_ssreflect) mathcomp(all_algebra vector reals normedtype) mathcomp(mathcomp_extra boolp) mathcomp(Rstruct) ssrR realType_ext Reals Lra mathcomp(lra)