proposition: Theorem FRACTRAN_HALTING_on_diophantine ll x : 𝔻F x -> 𝔻R (fun ν => FRACTRAN_HALTING (ll,x ν)).
proof: Proof. intros; 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)