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At: quotient 1 1 corr 1 1 1 5 1 2
1. A: Type
2. B: Type
3. f: AB
4. R: BBProp
5. Bij(A; B; f)
6. EquivRel x,y:B. x R y
7. EquivRel x,y:A. x R_f y
8. g: BA
9. InvFuns(A; B; f; g)
10. F: (x,y:A//(x R_f y))(x,y:B//(x R y))
11. F = (x.f(x))
12. G: (x,y:B//(x R y))(x,y:A//(x R_f y))
13. G = g (x,y:B//(x R y))(x,y:A//(x R_f y))
14. x: x,y:B//(x R y)

f(g(x)) = x x,y:B//(x R y)
By:
Analyze 14
THEN
Analyze
Generated subgoal:

114. x1: B
15. x2: B
16. x1 R x2
(f(g(x1))) R x2

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equalquotientapplyuniversefunctionproplambda