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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 | < M @ N,q.concl >
9. a |= < M @ N,q.concl >

a |= < r.(M @ N),concl > a | < r.(M @ N),concl >
By: Inst Thm* S:Sequent, a:Assignment. (a |= S & a | S) [ < M @ N,q.concl > ;a]
Generated subgoal:

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

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