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At: append overlapping sublists 1 2 2 2 2 1

1. T : Type
2. L1 : T List
3. L2 : T List
4. L : T List
5. x : T
6. i,j:i<||L||  j<||L||  i = j  L[i] = L[j]
7. f1 : ||L1 @ [x]||||L||
8. increasing(f1;||L1 @ [x]||)
9. j:||L1 @ [x]||. (L1 @ [x])[j] = L[(f1(j))]
10. f : (||L2||+1)||L||
11. increasing(f;||L2||+1)
12. j:(||L2||+1). [x / L2][j] = L[(f(j))]
13. ||L1 @ [x / L2]|| = ||L1||+||L2||+1
14. ||nil||0
15. j : ||L1 @ [x / L2]||
16. ||L1 @ [x]|| = ||L1||+1
17. ||L1||<j
  [x / L2][(j-||L1||)] = L[(f(j-||L1||))]


By: BackThruSomeHyp


Generated subgoals:

None

About:
listconsconsnilintnatural_numberaddsubtract
less_thanapplyfunctionuniverseequalimpliesall
IF YOU CAN SEE THIS go to /sfa/Nuprl/Shared/Xindentation_hack_doc.html

(41steps total) PrintForm Definitions Lemmas mb list 1 Sections MarkB generic Doc