Nuprl - Pf normalization_lemma 1 1 1 2 1 1 1 4 1

PrintForm Definitions normalization Sections ClassicalProps(jlc) Doc

At: normalization lemma 1 1 1 2 1 1 1 4 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. ( < hyp,[x1; x2/ M @ N] > ) < ( < hyp,M @ (x1x2.N) > ) (L:Sequent List. sL.((s) = 0) & (sL.|= s |= < hyp,[x1; x2/ M @ N] > ) & (a:Assignment. sL.a | s a | < hyp,[x1; 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: Analyze -1 THENL [SequentRankReduce 0 THEN GenConclOnAps;Repeat (Analyze -1)]

Generated subgoal:

1 11. L: Sequent List
12. sL.((s) = 0)
13. sL.|= s |= < hyp,[x1; x2/ M @ N] >
14. a:Assignment. sL.a | s a | < hyp,[x1; 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) > )

About: