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At: normalization lemma 1 1
1. G: Sequent
2. S:Sequent. (S) < (G) (L:Sequent List. sL.((s) = 0) & (sL.|= s |= S ) & (a:Assignment. sL.a | s a | S))

L:Sequent List. sL.((s) = 0) & (sL.|= s |= G ) & (a:Assignment. sL.a | s a | G)
By: New [`hyp';`concl'] (Analyze 1)
Generated subgoal:

11. 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))
L:Sequent List. sL.((s) = 0) & (sL.|= s |= < hyp,concl > ) & (a:Assignment. sL.a | s a | < hyp,concl > )

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existslistandequalintapply
natural_numberimpliesallless_thanpair