fact: Definition Posts_thm := forall X P, @rec_enum_t X P -> rec_enum_t (fun x => ~ P x) -> forall x, { P x } + { ~ P x }.
imports: List Arith Bool Lia Eqdep_dec Undecidability.Synthetic.Definitions Undecidability.Synthetic.ReducibilityFacts Undecidability.Synthetic.InformativeDefinitions Undecidability.Synthetic.InformativeReducibilityFacts Undecidability.Shared.Libs.DLW.Utils(utils_tac utils_list utils_nat finite) Undecidability.Shared.Libs.DLW.Vec(pos vec) Undecidability.FOL.TRAKHTENBROT(notations utils fol_ops decidable)