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


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


y2.N))
11. L: Sequent List
12.
s
L.(
(s) = 0)
13.
s
L.|= s 
|= < y2.(M @ N),concl >
14.
a:Assignment.
s
L.a |
s 
a |
< y2.(M @ N),concl >
15. L1: Sequent List
16.
s
L1.(
(s) = 0)
17.
s
L1.|= s 
|= < M @ N,y1.concl >
18.
a:Assignment.
s
L1.a |
s 
a |
< M @ N,y1.concl >
s
(L @ L1).(
(s) = 0)
By: BackThru
Thm*
P:(T
Prop), L,M:T List.
x
(L @ M).P(x) 
x
L.P(x) &
x
M.P(x)
Generated subgoals:None
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