At: normalization lemma 1 1 1 2 1 1 1 5 1 1 1
1. hyp: Formula List
2. concl: Formula List
3.
f
concl.(
(f) > 0)
4. M: Formula List
5. N: Formula List
6. f: Formula
7. y1: Formula
8. y2: Formula
9.
(y1


y2) > 0
10. concl = (M @ (y1


y2.N))
11. L: Sequent List
12.
s
L.(
(s) = 0)
13.
s
L.|= s 
|= < y1.hyp,y2.(M @ N) >
14.
a:Assignment.
s
L.a |
s 
a |
< y1.hyp,y2.(M @ N) >
15.
s
L.|= s
|= < hyp,M @ (y1


y2.N) >
By:
BackThru
Thm*
hyp,M,N:Formula List, q,r:Formula.
|= < q.hyp,r.(M @ N) > 
|= < hyp,M @ (q


r.N) >
THEN
HypBackchain
Generated subgoals:None
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