At: inv of fin is fin 1 1 2 2 1 2 1 1 2 1 1 3
1. T: Type
2. S: Type
3. f: T
S
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. a1: {s:S| t:T. f(t) = s }
10. a2: {s:S| t:T. f(t) = s }
11. f@0(a1) = f@0(a2) 
x,y:T//(f(x) = f(y))
12. f(f@0(a1)) = f(f@0(a2))
a1 = a2
By: RWH (HypC 8) 12
Generated subgoal:| 1 | 12. a1 = a2
a1 = a2 |
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