proposition: Lemma eq_dep_falsity b phi psi : eq_dep falsity_flag (form Σ_funcs Σ_preds ops) b phi b psi <-> phi = psi.
proof: Proof. rewrite <- eq_sigT_iff_eq_dep. split. - intros H. resolve_existT. reflexivity. - intros ->. reflexivity. Qed.
imports: Undecidability.Synthetic(Definitions DecidabilityFacts EnumerabilityFacts ListEnumerabilityFacts ReducibilityFacts) Undecidability(Shared.ListAutomation Shared.Dec) Coq(Eqdep_dec) Coq.Vectors.Vector Undecidability.Shared.Libs.PSL.Vectors(Vectors) EqdepFacts