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At: quotient of finite 1 1

1. n: {1...}
2. A: Type
3. R: AAProp
4. n ~ A
5. EquivRel x,y:A. x R y
6. x,y:A. Dec(x R y)
7. f: nA
8. Bij(n; A; f)

m:(n+1). m ~ (x,y:A//(x R y))

By: FwdThru Thm* f:(AB), R:(BBProp). Bij(A; B; f) (EquivRel x,y:B. x R 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)) [5;8]

Generated subgoal:

19. F:((x,y:n//(x R_f y))(x,y:A//(x R y))). Bij(x,y:n//(x R_f y); x,y:A//(x R y); F)
m:(n+1). m ~ (x,y:A//(x R y))


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