proposition: Lemma close_closed {ff:falsity_flag} q phi : closed (close q phi).
proof: Proof. unfold close,closed. destruct (find_bounded phi) as [m Hm]; cbn. apply (capture_captures q Hm). lia. Qed.
imports: Undecidability.Synthetic(Definitions DecidabilityFacts EnumerabilityFacts ListEnumerabilityFacts ReducibilityFacts) Undecidability(Shared.ListAutomation Shared.Dec) Coq(Eqdep_dec PeanoNat) Coq.Vectors.Vector Undecidability.Shared.Libs.PSL.Vectors(Vectors) EqdepFacts