proposition: Lemma sup_int_approxRN_fin_num : M \is a fin_num.
proof: Proof. rewrite ge0_fin_numE//; first exact: sup_int_approxRN_lty. exact: sup_int_approxRN_ge0. Qed.
imports: mathcomp(all_ssreflect ssralg ssrnum ssrint interval) mathcomp(finmap fingroup perm rat) mathcomp(mathcomp_extra boolp classical_sets cardinality) mathcomp(functions fsbigop set_interval) HB(structures) reals ereal signed topology numfun normedtype sequences esum measure realfun lebesgue_measure lebesgue_integral