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

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At: normalization lemma 1 1 1 2 1 1 1 2 1 2 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. x: Formula
8. (x) > 0
9. concl = (M @ (x.N))
10. L: Sequent List
11. sL.((s) = 0)
12. sL.|= s |= < x.hyp,M @ N >
13. a:Assignment. sL.a | s a | < x.hyp,M @ N >

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

By: Witness L

Generated subgoals:

1 14. sL.|= s
|= < hyp,M @ (x.N) >

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

About:

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