proposition: Corollary FRACTRAN_HALTING_diophantine l x : 𝔻R (fun _ => FRACTRAN_HALTING (l,x)).
proof: Proof. apply FRACTRAN_HALTING_on_diophantine; dio auto. Defined.
imports: List Arith Undecidability.Shared.Libs(utils_tac utils_list sums rel_iter gcd pos vec) Undecidability.FRACTRAN(FRACTRAN fractran_utils prime_seq) Undecidability.H10.Dio(dio_logic dio_bounded dio_rt_closure dio_single dio_expo)