proposition: Lemma measurable_HL_maximal f : locally_integrable setT f -> measurable_fun setT (HL f).
proof: Proof. move=> lf; apply: lower_semicontinuous_measurable. exact: lower_semicontinuous_HL_maximal. 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