proposition: Lemma HL_maximalT_ge0 f : locally_integrable setT f -> forall x, 0 <= HL f x.
proof: Proof. by move=> + x => /HL_maximal_ge0 /(_ x); rewrite 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