proposition: Lemma is_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) -> cvg (f @ F).
proof: Proof. by move=> /cvg_near_cst/cvgP. Qed.
imports: HB(structures) mathcomp(all_ssreflect all_algebra finmap generic_quotient) mathcomp(boolp classical_sets functions) mathcomp(cardinality mathcomp_extra fsbigop) reals signed