proposition: Lemma cauchy_cvgP (F : set_system T) (FF : ProperFilter F) : cauchy F <-> cvg F.
proof: Proof. by split=> [/cauchy_cvg|/cvg_cauchy]. Qed.
imports: HB(structures) mathcomp(all_ssreflect all_algebra finmap generic_quotient) mathcomp(boolp classical_sets functions) mathcomp(cardinality mathcomp_extra fsbigop) reals signed