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At:
fpf-sub-functionality12 1. A : Type
2. A' : Type
3. strong-subtype(A;A')
4. B : AType
5. C : A'Type
6. eq : EqDecider(A)
7. eq' : EqDecider(A')
8. f : a:A fp-> B(a)
9. g : a:A fp-> B(a)
10. Ar A' 11. eq' EqDecider(A)
12. a:A. B(a) r C(a)
13. x:A. x dom(f) x dom(g) & f(x) = g(x)
14. x : A 15. x dom(f)
16. xA x dom(g) & f(x) = g(x) C(x)