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At: formula and right sat 1 1 1

1. hyp: Formula List
2. M: Formula List
3. N: Formula List
4. q: Formula
5. r: Formula
6. a: Assignment
7. Fhyp.a | F a |= q FM.a |= F FN.a |= F
8. Fhyp.a | F a |= r FM.a |= F FN.a |= F

Fhyp.a | F FM.a |= F a |= qr FN.a |= F

By: Rewrite (HigherC (LemmaC Thm* a:Assignment, q,r:Formula. a |= qr a |= q & a |= r )) 0

Generated subgoal:

1 Fhyp.a | F FM.a |= F a |= q & a |= r FN.a |= F


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