Nuprl - Pf nd_ext_valcom 1 1 2 1 1 1 1 1 1 1 2 3 2 1 1 1

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At: nd ext valcom 1 1 2 1 1 1 1 1 1 1 2 3 2 1 1 1

1. Alph: Type
2. St: Type
3. NDA: NDA(Alph;St)
4. C: (StAlph*)*
5. ||C|| > 0
6. i:(||C||-1). ||2of(C[i])|| > 0
7. q: St
8. a: Alph
9. p: St
10. I(NDA) = 1of(hd(C))
11. i:(||C||-1). NDA(1of(C[i]),hd(rev(2of(C[i]))),1of(C[(i+1)])) & 2of(C[(i+1)]) = rev(tl(rev(2of(C[i]))))
12. 1of(hd(rev(C))) = q & 2of(hd(rev(C))) = nil
13. NDA(q,a,p)
14. i:
15. 0i
16. i < ||map(c. < 1of(c),a.2of(c) > ;C)||+1-1
17. i = ||C||-1

NDA(1of(C[i]),hd((rev(2of(C[i])) @ [a])),1of(C[(i+1)]))

By: Witness11 i

Generated subgoal:

1 11. 1of(hd(rev(C))) = q & 2of(hd(rev(C))) = nil
12. NDA(q,a,p)
13. i:
14. 0i
15. i < ||map(c. < 1of(c),a.2of(c) > ;C)||+1-1
16. i = ||C||-1
17. NDA(1of(C[i]),hd(rev(2of(C[i]))),1of(C[(i+1)])) & 2of(C[(i+1)]) = rev(tl(rev(2of(C[i]))))
NDA(1of(C[i]),hd((rev(2of(C[i])) @ [a])),1of(C[(i+1)]))

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