PrintForm Definitions action sets Sections AutomataTheory Doc

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1. Alph: Type
2. S: ActionSet(Alph)
3. N:
4. s: S.car
5. f: S.carN
6. g: NS.car
7. g o f = Id
8. f o g = Id
9. A: Alph*
10. N < ||A||
11. i: ||A||
12. j: ||A||
13. i < j
14. f((S:A[||A||-i..||A||]s)) = f((S:A[||A||-j..||A||]s))
15. (S:A[||A||-i..||A||]s) = (S:A[||A||-j..||A||]s)
16. k:

(S:((A[0..||A||-j]) @ (A[||A||-j..||A||-i]k)) @ (A[||A||-i..||A||])s) = (S:As)
By: NatInd 16
Generated subgoals:

1 (S:((A[0..||A||-j]) @ (A[||A||-j..||A||-i]0)) @ (A[||A||-i..||A||])s) = (S:As)
216. k:
17. 0 < k
18. (S:((A[0..||A||-j]) @ (A[||A||-j..||A||-i]k-1)) @ (A[||A||-i..||A||])s) = (S:As)
(S:((A[0..||A||-j]) @ (A[||A||-j..||A||-i]k)) @ (A[||A||-i..||A||])s) = (S:As)

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