Definition init_data2pred (d: init_data)  (sh: share) (a: val) (rho: environ) : mpred :=
 match d with
  | Init_int8 i => mapsto sh (Tint I8 Unsigned noattr) a (Vint (Int.zero_ext 8 i))
  | Init_int16 i => mapsto sh (Tint I16 Unsigned noattr) a (Vint (Int.zero_ext 16 i))
  | Init_int32 i => mapsto sh (Tint I32 Unsigned noattr) a (Vint i)
  | Init_int64 i => mapsto sh (Tlong Unsigned noattr) a (Vlong i)
  | Init_float32 r =>  mapsto sh (Tfloat F32 noattr) a (Vsingle r)
  | Init_float64 r =>  mapsto sh (Tfloat F64 noattr) a (Vfloat r)
  | Init_space n => mapsto_zeros n sh a
  | Init_addrof symb ofs =>
       match Map.get (ge_of rho) symb with
       | Some b => mapsto sh (Tpointer Tvoid noattr) a (Vptr b ofs)
       | _ => mapsto_ sh (Tpointer Tvoid noattr) a
       end
 end.Fixpoint init_data_list2pred  (dl: list init_data)
                           (sh: share) (v: val)  : environ -> pred rmap :=
  match dl with
  | d::dl' => 
      lift2 sepcon (init_data2pred d sh v) 
                  (init_data_list2pred dl' sh (offset_val (init_data_size d) v))
  | nil => lift0 emp
 end.Definition readonly2share (rdonly: bool) : share :=
  if rdonly then Ers else Ews.Definition globals_of_env (rho: environ) (i: ident) : val := 
  match Map.get (ge_of rho) i with Some b => Vptr b Ptrofs.zero | None => Vundef end.Definition globvar2pred (gv: ident->val) (idv: ident * globvar type) : assert :=
   if (gvar_volatile (snd idv))
                       then  lift0 TT
                       else    init_data_list2pred (gvar_init (snd idv))
                                   (readonly2share (gvar_readonly (snd idv))) (gv (fst idv)).Definition globvars2pred (gv: ident->val) (vl: list (ident * globvar type)) : assert :=
  (lift2 andp) (fun rho => prop (gv = globals_of_env rho))
  (fold_right (lift2 sepcon) (lift0 emp) (map (globvar2pred gv) vl)).

Lemma add_variables_nextblock: forall F V vl (ge: Genv.t F V) i g ul, list_norepet (map (@fst _ _) (vl++(i,g)::ul)) -> Genv.find_symbol (Genv.add_globals ge (vl++(i,g)::ul)) i = Some (Genv.advance_next vl (Genv.genv_next ge)).