proposition: Lemma cvg_bounded {I} {F : set_system I} {FF : Filter F} (f : I -> V) (y : V) : f @ F --> y -> bounded_near f F.
proof: Proof. exact: cvgr_norm_ley. Qed.
imports: HB(structures) mathcomp(all_ssreflect ssralg ssrint ssrnum finmap matrix) mathcomp(rat interval zmodp vector fieldext falgebra) mathcomp(mathcomp_extra boolp classical_sets functions) mathcomp(cardinality set_interval Rstruct) ereal reals signed topology prodnormedzmodule