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surjection type functionality wrt ooc111 1. A : Type
2. A' : Type
3. B : Type
4. B' : Type
5. f1 : AA' 6. g1 : A'A 7. InvFuns(A;A';f1;g1)
8. f : BB' 9. g : B'B 10. InvFuns(B;B';f;g)
11. x:B. g(f(x)) = x 12. y:B'. f(g(y)) = y 13. x:A. g1(f1(x)) = x 14. y:A'. f1(g1(y)) = y 15. Surj(A; A'; f1)
16. Surj(A'; A; g1)
17. Surj(B; B'; f)
18. Surj(B'; B; g)
(h.f o h o g1) (A onto B)A' onto B'