Hint Resolve DataTy_tm_subst_tm_tm DataTy_co_subst_co_tm : lngen.
(* ------------------------------------------- *)
Definition decide_Path : forall a, lc_tm a -> (exists T, Path T a) \/ (forall T, not (Path T a)).
(* ------------------------------------------- *)
(* Values and CoercedValues *)

Lemma CoercedValue_tm_subst_tm_tm :
(forall v b x, CoercedValue v -> lc_tm b -> CoercedValue (tm_subst_tm_tm b x v)).