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1. Alph: Type
2. S: ActionSet(Alph)
3. si: S.car
4. Fin(S.car)
5. n:
6. f: nAlph
7. g: Alphn
8. InvFuns(n; Alph; f; g)
9. n1:
10. f1: n1S.car
11. g1: S.carn1
12. g1 o f1 = Id
13. f1 o g1 = Id
14. RL: {y:{x:(S.car*)| 0 < ||x|| & ||x||n1+1 }| y[(||y||-1)] = si }
15. ||RL|| = n1+1
16. i:||RL||, j:i. RL[i] = RL[j]
17. s:S.car. mem_f(S.car;s;RL) (w:Alph*. (S:wsi) = s)
18. i: (n1+1)
19. j: i
20. g1(RL[i]) = g1(RL[j])
21. (f1 o g1)(RL[i]) = (f1 o g1)(RL[j])

RL[i] = RL[j]

By:
RWH (HypC 13) -1
THEN
Reduce -1


Generated subgoals:

None


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