proposition: Lemma oprobadd_gt0 p q : 0 < Prob.p (OProb.p p) + (Prob.p (OProb.p q)).
proof: Proof. exact/addR_gt0/oprob_gt0/oprob_gt0. Qed.
imports: mathcomp(all_ssreflect) mathcomp(all_algebra vector reals normedtype) mathcomp(mathcomp_extra boolp) mathcomp(Rstruct) ssrR realType_ext Reals Lra mathcomp(lra)