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At: formula and right falsifiable 1

1. hyp: Formula List
2. M: Formula List
3. N: Formula List
4. q: Formula
5. r: Formula
6. a: Assignment

a | < hyp,q.(M @ N) > a | < hyp,r.(M @ N) > a | < hyp,M @ (qr.N) >

By: Rewrite (UnfoldC `sequent_falsifiable` THENC AbReduceC THENC HigherC (LemmaC Thm* P:(TProp), L,M:T List. x(L @ M).P(x) xL.P(x) & xM.P(x)) THENC AbReduceC THENC HigherC (LemmaC Thm* a:Assignment, q,r:Formula. a | qr a | q a | r)) 0

Generated subgoal:

1 Fhyp.a |= F & a | q & FM.a | F & FN.a | F Fhyp.a |= F & a | r & FM.a | F & FN.a | F Fhyp.a |= F & FM.a | F & a | q a | r & FN.a | F


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