Nuprl - Pf formula_or_left_sound 1 1 2 1 2 1

PrintForm Definitions elimination Sections ClassicalProps(jlc) Doc

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. a |= < r.(M @ N),concl >
8. a | q

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

By: UnfoldTopAb -2 THEN AbReduce -2 THEN RepeatOrHD -2

Generated subgoals:

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

2 7. F(M @ N).a | F
8. a | q
FM.a | F a | q & a | r FN.a | F Fconcl.a |= F

3 7. Fconcl.a |= F
8. a | q
FM.a | F a | q & a | r FN.a | F Fconcl.a |= F

About:

1	7. `a \| r` 8. `a \| q` `FM.a \| F a \| q & a \| r FN.a \| F Fconcl.a \|= F`
2	7. `F(M @ N).a \| F` 8. `a \| q` `FM.a \| F a \| q & a \| r FN.a \| F Fconcl.a \|= F`
3	7. `Fconcl.a \|= F` 8. `a \| q` `FM.a \| F a \| q & a \| r FN.a \| F Fconcl.a \|= F`