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partial sort exists112111221 1. T : Type
2. P : L:(T List)(||L||-1) 3. m : (T List) 4. L:T List, i:(||L||-1).
4. P(L,i) P(swap(L;i;i+1),i) & m(swap(L;i;i+1))<m(L)
5. L : T List
6. 0<||L||
7. f : (T List)(T List)
8. L:T List.
8. f(L)
8. =
8. if null(L)L 8. else let i = search(||L||-1;P(L)) in if i=0L else swap(L;i-1;i) fi fi
9. x : T List
10. i:(||x||-1). P(x,i) P(swap(x;i;i+1),i) & m(swap(x;i;i+1))<m(x)
11. x = nil
12. 0<||x||
13. search(||x||-1;P(x)) = 0
0search(||x||-1;P(x))-1
& search(||x||-1;P(x))-1<||x||-1
& P(x,search(||x||-1;P(x))-1)