At: quotient of finite1111 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
m:(n+1). m ~ (x,y:A//(x R y)) By: FwdThru
Thm* (f:(AB). Bij(A; B; f)) (A ~ B)
[9] Generated subgoal: