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At: sublist transitivity 1

1. T : Type
2. L1 : T List
3. L2 : T List
4. L3 : T List
5. f1 : ||L1||||L2||
6. increasing(f1;||L1||)
7. j:||L1||. L1[j] = L2[(f1(j))]
8. f : ||L2||||L3||
9. increasing(f;||L2||)
10. j:||L2||. L2[j] = L3[(f(j))]
  increasing(f o f1;||L1||)


By: BackThru
Thm* k,m:f:(km), g:(m).
Thm* increasing(f;k increasing(g;m increasing(g o f;k)


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listintnatural_numberapplyfunctionuniverseequalimpliesall
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