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At: formula or left falsifiable 2 1 1

1. concl: Formula List
2. M: Formula List
3. N: Formula List
4. q: Formula
5. r: Formula
6. a: Assignment
7. FM.a |= F
8. a |= qr
9. FN.a |= F
10. Fconcl.a | F

a |= q & FM.a |= F & FN.a |= F & Fconcl.a | F a |= r & FM.a |= F & FN.a |= F & Fconcl.a | F

By:
FwdThru Thm* a:Assignment, q,r:Formula. a |= qr a |= q a |= r [-3]
THEN
Analyze -1


Generated subgoals:

111. a |= q
a |= q & FM.a |= F & FN.a |= F & Fconcl.a | F a |= r & FM.a |= F & FN.a |= F & Fconcl.a | F
211. a |= r
a |= q & FM.a |= F & FN.a |= F & Fconcl.a | F a |= r & FM.a |= F & FN.a |= F & Fconcl.a | F


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