Definition field_at (t: type) (nf: list ident) (v: reptype (nested_field_type t nf)) (p: val) : Pred := data_at_rec (nested_field_type t nf) v (offset_val (nested_field_offset t nf) p).Definition data_at (t: type) (v: reptype t) (p: val) : Pred := field_at t nil v p.Definition field_address (t: type) (nf: list ident) (p: val) : val := offset_val (nested_field_offset t nf) p.

Lemma field_at_Tstruct': forall t nf id fs v p i, nested_field_type t nf = Tstruct id fs -> members_no_replicate fs -> in_members i fs -> field_at t nf v p = field_at t (i :: nf) (proj_reptype _ (i :: nil) v) p * (fix field_at_struct fs := match fs with | Fnil => emp | Fcons (i0, t0) fs0 => (if (ident_eq i0 i) then emp else field_at t (i0 :: nf) (proj_reptype _ (i0 :: nil) v) p) * field_at_struct fs0 end) fs.