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At: formula imp left sound 1 1 1 1 2 2

1. concl: Formula List
2. M: Formula List
3. N: Formula List
4. q: Formula
5. r: Formula
6. |= < M @ N,q.concl >
7. a: Assignment
8. a | < M @ (qr.N),concl >

a |= < r.(M @ N),concl > a | < r.(M @ N),concl >

By: FwdThru Thm* concl,M,N:Formula List, q,r:Formula, a:Assignment. a | < r.(M @ N),concl > a | < M @ N,q.concl > a | < M @ (qr.N),concl > [-1]

Generated subgoal:

19. a | < r.(M @ N),concl > a | < M @ N,q.concl >
a |= < r.(M @ N),concl > a | < r.(M @ N),concl >


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