Nuprl - Pf normalization_lemma 1 1 1 1 1 1 1 5 1 1 2 2 1 3 1

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At: normalization lemma 1 1 1 1 1 1 1 5 1 1 2 2 1 3 1

1. hyp: Formula List
2. concl: Formula List
3. fhyp.((f) > 0)
4. M: Formula List
5. N: Formula List
6. f: Formula
7. y1: Formula
8. y2: Formula
9. (y1y2) > 0
10. hyp = (M @ (y1y2.N))
11. L: Sequent List
12. sL.((s) = 0)
13. sL.|= s |= < y2.(M @ N),concl >
14. a:Assignment. sL.a | s a | < y2.(M @ N),concl >
15. L1: Sequent List
16. sL1.((s) = 0)
17. sL1.|= s |= < M @ N,y1.concl >
18. a:Assignment. sL1.a | s a | < M @ N,y1.concl >
19. a: Assignment
20. s(L @ L1).a | s

a | < y2.(M @ N),concl > a | < M @ N,y1.concl >

By: FwdThru Thm* P:(TProp), L,M:T List. x(L @ M).P(x) xL.P(x) xM.P(x) [-1] THEN Analyze -1

Generated subgoals:

1 21. sL.a | s
a | < y2.(M @ N),concl > a | < M @ N,y1.concl >

2 21. sL1.a | s
a | < y2.(M @ N),concl > a | < M @ N,y1.concl >

About:

1	21. `sL.a \| s` `a \| < y2.(M @ N),concl > a \| < M @ N,y1.concl >`
2	21. `sL1.a \| s` `a \| < y2.(M @ N),concl > a \| < M @ N,y1.concl >`