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At: normalization lemma 1 1 1 2 2 2

1. hyp: Formula List
2. concl: Formula List
3. S:Sequent. (S) < ( < hyp,concl > ) (L:Sequent List. sL.((s) = 0) & (sL.|= s |= S ) & (a:Assignment. sL.a | s a | S))
4. fhyp.((f) > 0)
5. fconcl.((f) > 0)
6. ( < hyp,concl > ) = 0

L:Sequent List. sL.((s) = 0) & (sL.|= s |= < hyp,concl > ) & (a:Assignment. sL.a | s a | < hyp,concl > )

By: Witness [ < hyp,concl > ]

Generated subgoal:

1 s[ < hyp,concl > ].((s) = 0) & (s[ < hyp,concl > ].|= s |= < hyp,concl > ) & (a:Assignment. s[ < hyp,concl > ].a | s a | < hyp,concl > )


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existslistandequalintapplynatural_number
impliespairallconsnilless_than