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At: quotient of finite 1 1 1 1 1 2 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)
9. 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)
10. EquivRel x,y:n. x R_f y
11. (x,y:n//(x R_f y)) ~ (x,y:A//(x R y))
12. m: (n+1)
13. m ~ (i,j:n//(i R_f j))

m ~ (x,y:A//(x R y))
By: FwdThru Thm* (A ~ B) (B ~ C) (A ~ C) [13;11]
Generated subgoals:

None

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natural_numberquotientuniversefunctionpropallexistsadd