Nuprl - Pf formula_and_right

PrintForm Definitions elimination Sections ClassicalProps(jlc) Doc

1. hyp: Formula List
2. M: Formula List
3. N: Formula List
4. q: Formula
5. r: Formula
6. a: Assignment

By: Repeat (Analyze 0) THEN Analyze -1 THEN RepeatAndHD -1 THEN Try Trivial

Generated subgoals:

1 7. Fhyp.a |= F
8. a | q
9. FM.a | F
10. FN.a | F
a | q a | r

2 7. Fhyp.a |= F
8. a | r
9. FM.a | F
10. FN.a | F
a | q a | r

3 7. Fhyp.a |= F
8. FM.a | F
9. a | q a | r
10. FN.a | F
Fhyp.a |= F & a | q & FM.a | F & FN.a | F Fhyp.a |= F & a | r & FM.a | F & FN.a | F

About:

1	7. `Fhyp.a \|= F` 8. `a \| q` 9. `FM.a \| F` 10. `FN.a \| F` `a \| q a \| r`
2	7. `Fhyp.a \|= F` 8. `a \| r` 9. `FM.a \| F` 10. `FN.a \| F` `a \| q a \| r`
3	7. `Fhyp.a \|= F` 8. `FM.a \| F` 9. `a \| q a \| r` 10. `FN.a \| F` `Fhyp.a \|= F & a \| q & FM.a \| F & FN.a \| F Fhyp.a \|= F & a \| r & FM.a \| F & FN.a \| F`