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

PrintForm Definitions normalization Sections ClassicalProps(jlc) Doc

At: normalization lemma 1 1 1 2 1 1 1 3 1 1 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. x1: Formula
8. x2: Formula
9. (x1x2) > 0
10. concl = (M @ (x1x2.N))
11. L: Sequent List
12. sL.((s) = 0)
13. sL.|= s |= < hyp,x1.(M @ N) >
14. a:Assignment. sL.a | s a | < hyp,x1.(M @ N) >
15. L1: Sequent List
16. sL1.((s) = 0)
17. sL1.|= s |= < hyp,x2.(M @ N) >
18. a:Assignment. sL1.a | s a | < hyp,x2.(M @ N) >

L:Sequent List. sL.((s) = 0) & (sL.|= s |= < hyp,M @ (x1x2.N) > ) & (a:Assignment. sL.a | s a | < hyp,M @ (x1x2.N) > )

By: Witness L @ L1

Generated subgoals:

1 s(L @ L1).((s) = 0)

2 19. s(L @ L1).|= s
|= < hyp,M @ (x1x2.N) >

3 19. a: Assignment
20. s(L @ L1).a | s
a | < hyp,M @ (x1x2.N) >

About:

1	`s(L @ L1).((s) = 0)`
2	19. `s(L @ L1).\|= s` `\|= < hyp,M @ (x1x2.N) >`
3	19. `a:` `Assignment` 20. `s(L @ L1).a \| s` `a \| < hyp,M @ (x1x2.N) >`