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

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

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

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

By: With a (Analyze -4)

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1	6. `a:` `Assignment` 7. `a \| < M @ (qr.N),concl >` 8. `a \| < M @ N,q.concl >` `a Full( < M @ N,q.concl > )`
2	6. `a:` `Assignment` 7. `a \| < M @ (qr.N),concl >` 8. `a \| < M @ N,q.concl >` 9. `a \|= < M @ N,q.concl >` `a \|= < r.(M @ N),concl > a \| < r.(M @ N),concl >`