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

a Full( < q.(M @ N),concl > )

By: FwdThru Thm* concl,M,N:Formula List, q,r:Formula, a:Assignment. a |= < q.(M @ N),concl > & a |= < r.(M @ N),concl > a |= < M @ (qr.N),concl > [-2]

Generated subgoal:

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


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