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

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

By:
Inst Thm* S:Sequent, a:Assignment. (a |= S & a | S) [ < q.(M @ N),concl > ;a]
THEN
Analyze -1


Generated subgoal:

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


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