Definition reptype_gen {cs: compspecs} : type -> (sigT (fun x => x)) :=
  type_func (fun _ => (sigT (fun x => x)))
  (fun t =>
     if (type_is_by_value t)
     then existT (fun x => x) val Vundef
     else existT (fun x => x) unit tt)
  (fun t n a TV => existT (fun x => x) (list (projT1 TV)) (list_repeat (Z.to_nat n) (projT2 TV)))
  (fun id a TVs => existT (fun x => x) (compact_prod_sigT_type (decay TVs)) (compact_prod_sigT_value (decay TVs)))
  (fun id a TVs => existT (fun x => x) (compact_sum_sigT_type (decay TVs)) (compact_sum_sigT_value (decay TVs))).Definition reptype {cs: compspecs} t: Type := match reptype_gen t with existT t _ => t end.Definition default_val {cs: compspecs} t: reptype t :=
  match reptype_gen t as tv
    return match tv with existT t _ => t end
  with existT t v => v end.Instance Inhabitant_reptype {cs: compspecs} (t: type) : Inhabitant (reptype t) := default_val t.

Lemma reptype_gen_eq: forall t, reptype_gen t = match t with | Tarray t0 n _ => existT (fun x => x) (list (projT1 (reptype_gen t0))) (list_repeat (Z.to_nat n) (projT2 (reptype_gen t0))) | Tstruct id _ => existT (fun x => x) (compact_prod_sigT_type (map reptype_gen (map (fun it => field_type (fst it) (co_members (get_co id))) (co_members (get_co id))))) (compact_prod_sigT_value (map reptype_gen (map (fun it => field_type (fst it) (co_members (get_co id))) (co_members (get_co id))))) | Tunion id _ => existT (fun x => x) (compact_sum_sigT_type (map reptype_gen (map (fun it => field_type (fst it) (co_members (get_co id))) (co_members (get_co id))))) (compact_sum_sigT_value (map reptype_gen (map (fun it => field_type (fst it) (co_members (get_co id))) (co_members (get_co id))))) | _ => if (type_is_by_value t) then existT (fun x => x) val Vundef else existT (fun x => x) unit tt end.