Global Opaque denote_tc_test_eq.
Hint Rewrite @sem_add_pi_ptr_special' using (solve [try reflexivity; auto with norm]) : norm.
Hint Rewrite @sem_add_pl_ptr_special' using (solve [try reflexivity; auto with norm]) : norm.
Hint Extern 2 (isptr (force_val (sem_add_ptr_int _ _ _ _))) =>
apply isptr_force_sem_add_ptr_int; [reflexivity | auto with prove_it_now] : core.
(* Done in this tail-recursive style so that "hnf" fully reduces it *)
Fixpoint mk_varspecs' (dl: list (ident * globdef Clight.fundef type)) (el: list (ident * type)) :
list (ident * type) :=
match dl with
| (i,Gvar v)::dl' => mk_varspecs' dl' ((i, gvar_info v) :: el)
| (i, _) :: dl' => mk_varspecs' dl' el
| nil => rev_append el nil
end.
Ltac unfold_varspecs al :=
match al with
| context [gvar_info ?v] =>
let b := eval lazy beta zeta iota delta [gvar_info v] in al
in unfold_varspecs b
| _ => exact al
end.
Ltac mk_varspecs prog :=
let a := constr:(prog)
in let a := eval unfold prog in a
in let d :=  match a with
| Clightdefs.mkprogram _ ?d _ _ _ => constr:(d)
| {| prog_defs := ?d |} => constr:(d)
end
in let e := constr:(mk_varspecs' d nil)
in let e := eval hnf in e
in unfold_varspecs e.
Hint Resolve field_address_isptr : norm.
Hint Resolve field_address_eq_offset' : prove_it_now.
Hint Rewrite <- @prop_and using solve [auto with typeclass_instances]: norm1.
Local Open Scope logic.
Ltac process_stackframe_of :=
match goal with |- semax _ (_ * stackframe_of ?F) _ _ =>
let sf := fresh "sf" in set (sf:= stackframe_of F) at 1;
unfold stackframe_of in sf; simpl map in sf; subst sf
end;
repeat
match goal with |- semax _ (_ * fold_right sepcon emp (var_block _ (?i,_) :: _)) _ _ =>
match goal with
| n: name i |- _ => simple apply var_block_lvar2;
[ reflexivity | reflexivity | reflexivity | reflexivity | clear n; intro n ]
| |- _ =>    simple apply var_block_lvar2;
[ reflexivity | reflexivity | reflexivity | reflexivity | let n := fresh "v" i in intros n ]
end
end;
(* match goal with |- semax _ ?Pre _ _ => let p := fresh "p" in set (p := Pre); rewrite <- (@emp_sepcon (environ->mpred) _ _ _ (fold_right _ _ _)); subst p end; *)
repeat (simple apply postcondition_var_block;
[reflexivity | reflexivity | reflexivity | reflexivity | reflexivity |  ]);
change (fold_right sepcon emp (@nil (environ->mpred))) with
(@emp (environ->mpred) _ _);
rewrite ?sepcon_emp, ?emp_sepcon.
Definition tc_option_val' (t: type) : option val -> Prop :=
match t with Tvoid => fun v => match v with None => True | _ => False end | _ => fun v => tc_val t (force_val v) end.
Hint Rewrite tc_option_val'_eq : norm.
Definition tycontext_subVG Vprog1 Gprog1 Vprog2 Gprog2 :=
(forall id : positive,
sub_option (make_tycontext_g Vprog1 Gprog1) ! id
(make_tycontext_g Vprog2 Gprog2) ! id) /\
(forall id : positive,
subsumespec (make_tycontext_s Gprog1) ! id (make_tycontext_s Gprog2) ! id).

Lemma subsume_spec_get:
forall (s t: PTree.t funspec),
Forall (fun x => subsumespec (Some (snd x)) (t ! (fst x))) (PTree.elements s) ->
(forall i, subsumespec (s ! i) (t ! i)).