proposition: Lemma integrableP d T R mu D f : reflect (measurable_fun D f /\ (\int[mu]_(x in D) `|f x| < +oo)%E) (@integrable d T R mu D f).
proof: Proof. by rewrite unlock; apply/(iffP (asboolP _)). 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