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interleaving split112 1. T : Type
2. L : T List
3. P : ||L||Prop
4. x:||L||. Dec(P(x))
5. n : 6. k : 7. f : n||L||
8. g : k||L||
9. increasing(f;n)
10. increasing(g;k)
11. i:n. P(f(i))
12. j:k. P(g(j))
13. i:||L||. (j:n. i = f(j)) (j:k. i = g(j))
14. L2 : T List
15. ||L2|| = n 16. sublist_occurence(T;L2;L;f)
17. L1 : T List
18. ||L1|| = k 19. sublist_occurence(T;L1;L;g)
20. interleaving_occurence(T;L2;L1;L;f;g)
interleaving_occurence(T;L2;L1;L;f;g)
& (i:||L2||. P(f(i))) & (i:||L1||. P(g(i)))
& (i:||L||.
& ((P(i) (j:||L2||. f(j) = i)) & (P(i) (j:||L1||. g(j) = i)))