proposition: Lemma limn_supE u : bounded_fun u -> limn_sup u = inf (range (sups u)).
proof: Proof. move=> ba; apply/cvg_lim => //. by apply/cvg_sups_inf; [exact/bounded_fun_has_ubound| exact/bounded_fun_has_lbound]. Qed.
imports: mathcomp(all_ssreflect ssralg ssrint ssrnum matrix) mathcomp(interval rat) mathcomp(mathcomp_extra boolp classical_sets functions) mathcomp(set_interval) reals ereal signed topology normedtype landau