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At: inv of fin is fin 1 1 2 2 1 2 1 1 2 2 2 1 1 2

1. T: Type
2. S: Type
3. f: TS
4. Fin(S)
5. s:S. Dec(t:T. f(t) = s)
6. EquivRel x,y:T. f(x) = f(y)
7. f@0: {s:S| t:T. f(t) = s }T
8. s:{s:S| t:T. f(t) = s }. f(f@0(s)) = s
9. b1: T
10. b2: T
11. f(b1) = f(b2)

t:T. f(t) = f(b1)

By: Witness b1

Generated subgoals:

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existsequalapplyuniversefunctionallset