Nuprl - Pf formula_imp_left

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concl,M,N:Formula List, q,r:Formula, a:Assignment. a | < r.(M @ N),concl > a | < M @ N,q.concl > a | < M @ (qr.N),concl >

By: UnivCD THEN Analyze 0 THEN Analyze 0

Generated subgoals:

1 1. concl: Formula List
2. M: Formula List
3. N: Formula List
4. q: Formula
5. r: Formula
6. a: Assignment
7. a | < r.(M @ N),concl > a | < M @ N,q.concl >
a | < M @ (qr.N),concl >

2 1. concl: Formula List
2. M: Formula List
3. N: Formula List
4. q: Formula
5. r: Formula
6. a: Assignment
7. a | < M @ (qr.N),concl >
a | < r.(M @ N),concl > a | < M @ N,q.concl >

About:

1	1. `concl:` `Formula List` 2. `M:` `Formula List` 3. `N:` `Formula List` 4. `q:` `Formula` 5. `r:` `Formula` 6. `a:` `Assignment` 7. `a \| < r.(M @ N),concl > a \| < M @ N,q.concl >` `a \| < M @ (qr.N),concl >`
2	1. `concl:` `Formula List` 2. `M:` `Formula List` 3. `N:` `Formula List` 4. `q:` `Formula` 5. `r:` `Formula` 6. `a:` `Assignment` 7. `a \| < M @ (qr.N),concl >` `a \| < r.(M @ N),concl > a \| < M @ N,q.concl >`