proposition: Lemma cvg_in_toP {U : Type} (T : filteredType U) (F : set_system U) (l : T) : [cvg F in T] -> [lim F in T] = l -> F --> l.
proof: Proof. by move=> /[swap]->. Qed.
imports: HB(structures) mathcomp(all_ssreflect all_algebra finmap generic_quotient) mathcomp(boolp classical_sets functions) mathcomp(cardinality mathcomp_extra fsbigop) reals signed