Require VST.floyd.aggregate_pred. Import VST.floyd.aggregate_pred.aggregate_pred.
Hint Extern 2 (field_compatible0 _ (ArraySubsc _ :: _) _) =>
(eapply field_compatible0_cons_Tarray; [reflexivity | | omega])
: field_compatible.
Hint Extern 2 (field_compatible _ (ArraySubsc _ :: _) _) =>
(eapply field_compatible_cons_Tarray; [reflexivity | | omega])
: field_compatible.
Hint Extern 2 (field_compatible (Tarray _ _ _) nil _) =>
(eapply field_compatible_array_smaller0; [eassumption | omega]) : field_compatible.
Hint Extern 2 (field_compatible (tarray _ _) nil _) =>
(eapply field_compatible_array_smaller0; [eassumption | omega]) : field_compatible.
Hint Extern 2 (field_compatible0 (Tarray _ _ _) nil _) =>
(eapply field_compatible0_array_smaller0; [eassumption | omega]) : field_compatible.
Hint Extern 2 (field_compatible0 (tarray _ _) nil _) =>
(eapply field_compatible0_array_smaller0; [eassumption | omega]) : field_compatible.
Hint Extern 2 (field_compatible0 (Tarray _ _ _) (ArraySubsc _ :: nil) _) =>
(eapply field_compatible0_array_smaller1; [eassumption | omega | omega]) : field_compatible.
Hint Extern 2 (field_compatible0 (tarray _ _) (ArraySubsc _ :: nil) _) =>
(eapply field_compatible0_array_smaller1; [eassumption | omega | omega]) : field_compatible.
Arguments nested_field_array_type {cs} t gfs lo hi / .
Hint Resolve field_compatible_field_compatible0 : field_compatible.

Lemma field_compatible_Tarray_split:
forall {cs: compspecs} t i n d,
0 <= i <= n ->
(field_compatible (tarray t n) nil d <->
field_compatible (tarray t i) nil d /\
field_compatible (tarray t (n-i)) nil
(field_address0 (tarray t n) (ArraySubsc i::nil) d)).