Nuprl - Pf normalization_lemma 1 1 1 2 1 1 1 5 1 1

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At: normalization lemma 1 1 1 2 1 1 1 5 1 1

1. hyp: Formula List
2. concl: Formula List
3. fconcl.((f) > 0)
4. M: Formula List
5. N: Formula List
6. f: Formula
7. y1: Formula
8. y2: Formula
9. (y1y2) > 0
10. concl = (M @ (y1y2.N))
11. L: Sequent List
12. sL.((s) = 0)
13. sL.|= s |= < y1.hyp,y2.(M @ N) >
14. a:Assignment. sL.a | s a | < y1.hyp,y2.(M @ N) >

L:Sequent List. sL.((s) = 0) & (sL.|= s |= < hyp,M @ (y1y2.N) > ) & (a:Assignment. sL.a | s a | < hyp,M @ (y1y2.N) > )

By: Witness L

Generated subgoals:

1 15. sL.|= s
|= < hyp,M @ (y1y2.N) >

2 15. a: Assignment
16. sL.a | s
a | < hyp,M @ (y1y2.N) >

About:

1	15. `sL.\|= s` `\|= < hyp,M @ (y1y2.N) >`
2	15. `a:` `Assignment` 16. `sL.a \| s` `a \| < hyp,M @ (y1y2.N) >`