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At: formula imp left sound 1 1 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: Full( < M @ (qr.N),concl > )
8. a |= < r.(M @ N),concl >

a |= < M @ (qr.N),concl >
By: BackThru 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 >
Generated subgoal:

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

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