proposition: Lemma norm_lim_near_cst U {F} {FF : ProperFilter F} (l : V) (f : U -> V) : (\forall x \near F, f x = l) -> lim (f @ F) = l.
proof: Proof. exact: lim_near_cst. 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