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

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

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. sL.((s) = 0) & (sL.|= s |= < x.hyp,M @ N > ) & (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: Repeat (Analyze -1)

Generated subgoal:

1 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) > )

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