proposition: Lemma bound_reachable_n_CP : {N | bound_reachable_n CP N}.
proof: Proof. Proof using capped_P. apply: (search_bound _ NP). rewrite /CP /cm_end. by lia. Qed.
imports: Relation_Operators Operators_Properties Lia PeanoNat List Undecidability.StackMachines.Reductions.CM1_HALT_to_SMNdl_UB.SMX_facts Undecidability.StackMachines.Util(Nat_facts List_facts) ssreflect ssrbool ssrfun