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