| Rank | Theorem | Name |
| 6 | Thm* strong-subtype(A;A')
Thm* 
Thm* ( B:(A Type), C:(A' Type), eq:EqDecider(A), eq':EqDecider(A'),
Thm* ( f,g:a:A fp-> B(a). ( a:A. B(a) r C(a))  f g  f g) | [fpf-sub_functionality] |
| cites the following: |
| 5 | Thm* strong-subtype(A;A')
Thm* 
Thm* ( B:(A Type), C:(A' Type), eq:EqDecider(A), eq':EqDecider(A'),
Thm* ( f,g:a:A fp-> B(a). ( a:A. B(a) r C(a))  f g  f g) | [fpf-sub-functionality] |