Nuprl - Proof: l tricotomy 1 3 2

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At: l tricotomy 1 3 2

1. T : Type
2. x : T
3. y : T
4. L : T List
5. i1 :

6. i1<||L||
7. x = L[i1]
8. i :

9. i<||L||
10. y = L[i]
11. i<i1
12. j :

[y; x][j] = L[if j=

i else i1 fi]

By:	SplitOnConclITE

Generated subgoals:

1 13. j = 0
[y; x][j] = L[i]
1 step

2 13. j = 0
[y; x][j] = L[i1]
1 step

About:

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1	13. j = 0 [y; x][j] = L[i]	1 step
2	13. j = 0 [y; x][j] = L[i1]	1 step