You can similarly express ghost properties of your types, even though we don't have ghost fields in SPARK. For more on ghost code in SPARK, you can look at this presentation last year from my colleague Claire Dross: https://www.adacore.com/uploads/products/SSAS-Presentations/...
As a more extensive example of a useful library with this kind of contracts for proof, Joffrey Huguet added rich contracts of this kind to the Ada.Text_IO standard library just two weeks ago, as part of his current internship with us. This should be in the FSF trunk in the coming weeks. For example, here are some contracts he added:
procedure Open
(File : in out File_Type;
Mode : File_Mode;
Name : String;
Form : String := "")
with
Pre => not Is_Open (File),
Post =>
Is_Open (File)
and then Ada.Text_IO.Mode (File) = Mode
and then (if Mode /= In_File
then (Line_Length (File) = 0
and then Page_Length (File) = 0)),
Global => (In_Out => File_System);
procedure Put (File : File_Type; Item : Character) with
Pre => Is_Open (File) and then Mode (File) /= In_File,
Post =>
Line_Length (File)'Old = Line_Length (File)
and Page_Length (File)'Old = Page_Length (File),
Global => (In_Out => File_System);
procedure Close (File : in out File_Type) with
Pre => Is_Open (File),
Post => not Is_Open (File),
Global => (In_Out => File_System);