Proof ptc_add_typ _ _ v6_algorithms.

(* Specifications: *)
Lemma add_def :
forall (e : env_v6) (t T : trm_v6),
wf_v6 e -> decl_dec _ v6_pts e (Def _ t T).
Lemma add_def :
forall (e : env_v6) (t T : trm_v6),
wf_v6 e -> decl_dec _ v6_pts e (Def _ t T).