proposition: Lemma enc_succ_out n t: enc n (Succ t) = Succ (enc n t).
proof: Proof. induction n; simplify; congruence. Qed.
imports: RelationClasses Morphisms List Lia Init.Nat Setoid Undecidability.HOU(calculus.calculus second_order.diophantine_equations systemunification nth_order_unification)