At: total back listify 1 1 2 2 1 2 1 2 1
1. Alph: Type
2. S: ActionSet(Alph)
3. sL: S.car*
4. Fin(Alph)
5. Fin(S.car)
6. n: 
7. 0 < n
8. TBL: S.car*
9. ||TBL|| = n-1

10.
i:
||TBL||, j:
i.
TBL[i] = TBL[j]
11.
s:S.car. mem_f(S.car;s;TBL) 
(
w:Alph*. mem_f(S.car;(S:w
s);sL))
12. AL: S.car*
13.
s:S.car. False 
(
w:Alph*. mem_f(S.car;(S:w
s);sL))
14.
s:S.car. mem_f(S.car;s;sL) 
mem_f(S.car;s;TBL)
False
15.
s:S.car, a:Alph. mem_f(S.car;S.act(a,s);TBL) 
mem_f(S.car;s;TBL)
False
16. s: S.car
17. w: Alph*
18. mem_f(S.car;(S:w
s);sL)
19. i: 
20. 0 < i
21. i
||w||
22. nth_tl(i-1;w) = nil
23. mem_f(S.car;s;TBL)
mem_f(S.car;(S:nth_tl(i;w)
s);TBL)
By: ((Assert (||nth_tl(i-1;w)|| = ||nil||)) THEN (Reduce -1)) THENA Analyze
Generated subgoals:None
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