At: normalization lemma 1 1 1 2 1 1 1 4 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. x1: Formula
8. x2: Formula
9.
(x1

x2) > 0
10. concl = (M @ (x1

x2.N))
11. L: Sequent List
12.
s
L.(
(s) = 0)
13.
s
L.|= s 
|= < hyp,[x1; x2/ M @ N] >
14.
a:Assignment.
s
L.a |
s 
a |
< hyp,[x1; x2/ M @ N] >
15.
s
L.|= s
|= < hyp,M @ (x1

x2.N) >
By:
BackThru
Thm*
hyp,M,N:Formula List, q,r:Formula.
|= < hyp,[q; r/ M @ N] > 
|= < hyp,M @ (q

r.N) >
THEN
HypBackchain
Generated subgoals:None
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