Nuprl - Pf formula_or_left_sound 1 1 2 1 2 1 2 1

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At: formula or left sound 1 1 2 1 2 1 2 1

1. concl: Formula List
2. M: Formula List
3. N: Formula List
4. q: Formula
5. r: Formula
6. a: Full( < M @ (qr.N),concl > )
7. F(M @ N).a | F
8. a | q
9. FM.a | F FN.a | F

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

By: Analyze -1

Generated subgoals:

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

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

About:

1	9. `FM.a \| F` `FM.a \| F a \| q & a \| r FN.a \| F Fconcl.a \|= F`
2	9. `FN.a \| F` `FM.a \| F a \| q & a \| r FN.a \| F Fconcl.a \|= F`