At: formula or left sound1121 1. concl: Formula List 2. M: Formula List 3. N: Formula List 4. q: Formula 5. r: Formula 6. |= < q.(M @ N),concl > 7. a: Full( < M @ (qr.N),concl > ) 8. a |= < r.(M @ N),concl >
FM.a | F a | q & a | r FN.a | F Fconcl.a |= F By: With a (Analyze -3) Generated subgoals:
6. a: Full( < M @ (qr.N),concl > ) 7. a |= < r.(M @ N),concl > 8. a |= < q.(M @ N),concl > FM.a | F a | q & a | r FN.a | F Fconcl.a |= F