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At: quotient 1 1 corr 1 1

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

F:((x,y:A//(x R_f y))(x,y:B//(x R y))). Bij(x,y:A//(x R_f y); x,y:B//(x R y); F)

By:
FwdThru Thm* f:(AB). Bij(A; B; f) (g:(BA). InvFuns(A; B; f; g)) [5]
THEN
Analyze -1


Generated subgoal:

18. g: BA
9. InvFuns(A; B; f; g)
F:((x,y:A//(x R_f y))(x,y:B//(x R y))). Bij(x,y:A//(x R_f y); x,y:B//(x R y); F)


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existsfunctionquotientuniverseprop