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At: formula and right sound 1 1 1 2 2 2
1. hyp: Formula List
2. M: Formula List
3. N: Formula List
4. q: Formula
5. r: Formula
6. |= < hyp,q.(M @ N) >
7. a: Assignment
8. a | < hyp,M @ (qr.N) >
9. a | < hyp,r.(M @ N) >
10. a |= < hyp,r.(M @ N) >

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

111. (a |= < hyp,r.(M @ N) > & a | < hyp,r.(M @ N) > )
a |= < hyp,M @ (qr.N) >

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