Require Export VST.veric.environ_lemmas.
Require Export VST.veric.expr_lemmas3.
Require Export VST.veric.expr_lemmas4.
intros. unfold Map.set. unfold make_tenv. extensionality. rewrite PTree.gsspec; auto.
Qed.
Definition func_tycontext_t_denote :=
forall p t id ty ,  list_norepet (map fst p ++ map fst t ) ->
((make_tycontext_t p t) ! id = Some ty <-> (In (id,ty) p \/ In (id,ty) t)).
Definition func_tycontext_v_denote :=
forall v id ty, list_norepet (map fst v) ->
((make_tycontext_v v) ! id = Some ty <-> In (id,ty) v).
unfold func_tycontext_v_denote. intros.
split; intros; induction v. simpl in *.
rewrite PTree.gempty in *. congruence.
simpl in *. destruct a. inv H. rewrite PTree.gsspec in *. if_tac in H0.
inv H0. auto. intuition.
inv H0.
simpl in *. destruct a. simpl in *. rewrite PTree.gsspec. destruct H0.
inv H0. if_tac. auto. intuition. inv H. if_tac. subst.
clear - H0 H3. rewrite in_map_iff in *. destruct H3. exists (i,ty). auto.
apply IHv; auto.
Qed.
Definition cast_no_val_change (from: type)(to:type) : bool :=
match from, to with
| Tint _ _ _, Tint I32 _ _ => true
| Tpointer _ _, Tpointer _ _ =>
eqb_type from to ||
negb (eqb_type from int_or_ptr_type) &&
negb (eqb_type to int_or_ptr_type)
| Tfloat F64 _ , Tfloat F64 _ => true
| Tfloat F32 _ , Tfloat F32 _ => true
| _, _ => false
end.
Opaque Int.repr.
Definition typecheck_tid_ptr_compare
Delta id :=
match (temp_types Delta) ! id with
| Some t => is_int_type t
| None => false
end.

Lemma typecheck_tid_ptr_compare_sub:
forall Delta Delta',
tycontext_sub Delta Delta' ->
forall id, typecheck_tid_ptr_compare Delta id = true ->
typecheck_tid_ptr_compare Delta' id = true.