Definition field_address t gfs p :=
  if (field_compatible_dec t gfs p)
  then offset_val (nested_field_offset t gfs) p
  else Vundef.Definition field_address0 t gfs p :=
  if (field_compatible0_dec t gfs p)
  then offset_val (nested_field_offset t gfs) p
  else Vundef.

Lemma nested_field_offset_change_composite: forall {cs_from cs_to} {CCE: change_composite_env cs_from cs_to} (t: type), cs_preserve_type cs_from cs_to (coeq _ _) t = true -> forall gfs, @legal_nested_field cs_from t gfs -> @legal_nested_field cs_to t gfs -> @nested_field_offset cs_from t gfs = @nested_field_offset cs_to t gfs.