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

PrintForm Definitions normalization Sections ClassicalProps(jlc) Doc

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

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

By: With < x.hyp,M @ N > (Analyze -1)

Generated subgoal:

1 10. ( < x.hyp,M @ N > ) < ( < hyp,M @ (x.N) > ) (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) > )

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