proposition: Lemma is_cvg_max_approxRN_seq n : cvg (F_ ^~ n @ \oo).
proof: Proof. by apply: ereal_nondecreasing_is_cvgn; exact: max_approxRN_seq_nd. 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