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Definitions
normalization
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ClassicalProps(jlc)
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At:
normalization
lemma
1
1
1
2
1
1.
hyp:
Formula List
2.
concl:
Formula List
3.
S:Sequent.
(S) <
( < hyp,concl > )
(
L:Sequent List.
s
L.(
(s) = 0) & (
s
L.|= s
|= S ) & (
a:Assignment.
s
L.a |
s
a |
S))
4.
f
hyp.(
(f) > 0)
5.
f
concl.(
(f) > 0)
L:Sequent List.
s
L.(
(s) = 0) & (
s
L.|= s
|= < hyp,concl > ) & (
a:Assignment.
s
L.a |
s
a |
< hyp,concl > )
By:
Thin -2
THEN
FwdThru
Thm*
P:(T
Prop), L:T List.
x
L.P(x)
(
M,N:T List, x:T. P(x) & L = (M @ (x.N))) [-1]
THEN
Repeat (Analyze -1)
Generated subgoal:
1
4.
f
concl.(
(f) > 0)
5.
M:
Formula List
6.
N:
Formula List
7.
f:
Formula
8.
(f) > 0
9.
concl = (M @ (f.N))
L:Sequent List.
s
L.(
(s) = 0) & (
s
L.|= s
|= < hyp,concl > ) & (
a:Assignment.
s
L.a |
s
a |
< hyp,concl > )
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