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At: inv of fin is fin 1 1 2 2 1 2 1 1 2 1 1 3 1 1
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. 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. a1 = a2

t:T. f(t) = a1
By: Analyze 9
Generated subgoal:

19. a1: S
10. t:T. f(t) = a1
11. a2: {s:S| t:T. f(t) = s }
12. f@0(a1) = f@0(a2) x,y:T//(f(x) = f(y))
13. a1 = a2
t:T. f(t) = a1

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existsequalapplyuniversefunctionallsetquotient