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

a |= < M @ N,q.concl >

By: With a (Analyze -3)

Generated subgoals:

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

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

About:

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