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At: append overlapping sublists 1 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))]
  ||L1 @ [x / L2]|| = ||L1||+||L2||+1  


By: RWO Thm* as,bs:T List. ||as @ bs|| = ||as||+||bs||   0


Generated subgoal:

1   ||L1||+||[x / L2]|| = ||L1||+||L2||+1
1 step

About:
listconsconsnilintnatural_numberaddless_than
applyfunctionuniverseequalimpliesall
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(41steps total) PrintForm Definitions Lemmas mb list 1 Sections MarkB generic Doc