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At:
surjection type surjection11122 1. A : Type
2. B : Type
3. f : AB 4. Surj(A; B; f)
5. a :
6. s : aA 7. Surj(a; A; s)
8. B Discrete
9. f o saB 10. Surj(a; B; f o s)
11. e : BB 12. x,y:B. (xey) x = y 13. b : B 14. (i.((f o s)(i)) eb) {p:(a)| i:a. p(i) }
15. (least i:. ((f o s)(i)) eb) a f(s(least i:. ((f o s)(i)) eb)) = b
By:
Compute
Cof(s(least i:. ((f o s)(i)) eb)) * (f o s)(least i:. ((f o s)(i)) eb)
THEN
Rewrite by Hyp:12