Nuprl - Pf formula_imp_left_sound 1 1 2 1 1 1 1 2 2 1

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At: formula imp left sound 1 1 2 1 1 1 1 2 2 1

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

a | < M @ N,q.concl >

By: FwdThru Thm* 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 > [-2] THEN Analyze -1

Generated subgoals:

1 9. a | < r.(M @ N),concl >
a | < M @ N,q.concl >

2 9. a | < M @ N,q.concl >
a | < M @ N,q.concl >

About:

1	9. `a \| < r.(M @ N),concl >` `a \| < M @ N,q.concl >`
2	9. `a \| < M @ N,q.concl >` `a \| < M @ N,q.concl >`