Nuprl - Pf formula_or_left

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

a |= < M @ (qr.N),concl >

By: With a (Analyze -2)

Generated subgoals:

1 7. a: Full( < M @ (qr.N),concl > )
a Full( < r.(M @ N),concl > )

2 7. a: Full( < M @ (qr.N),concl > )
8. a |= < r.(M @ N),concl >
a |= < M @ (qr.N),concl >

About:

1	7. `a:` `Full( < M @ (qr.N),concl > )` `a Full( < r.(M @ N),concl > )`
2	7. `a:` `Full( < M @ (qr.N),concl > )` 8. `a \|= < r.(M @ N),concl >` `a \|= < M @ (qr.N),concl >`