proposition: Lemma ge0_integralTE f : (forall x, 0 <= f x) -> \int_(x in setT) f x = nnintegral mu f.
proof: Proof. by move=> f0; rewrite ge0_integralE// patch_setT. Qed.
imports: HB(structures) mathcomp(all_ssreflect ssralg ssrnum ssrint interval finmap) mathcomp(mathcomp_extra boolp classical_sets functions) mathcomp(cardinality fsbigop ) signed reals ereal topology normedtype sequences real_interval esum measure lebesgue_measure numfun