proposition: Lemma cvg_near_cst (T : Type) (U : topologicalType) (l : U) (f : T -> U) (F : set_system T) {FF : Filter F} : (\forall x \near F, f x = l) -> f @ F --> l.
proof: Proof. move=> fFl P /=; rewrite !near_simpl => Pl. by apply: filterS fFl => _ ->; apply: nbhs_singleton. Qed.
imports: HB(structures) mathcomp(all_ssreflect all_algebra finmap generic_quotient) mathcomp(boolp classical_sets functions) mathcomp(cardinality mathcomp_extra fsbigop) reals signed