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Definitions
normalization
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ClassicalProps(jlc)
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normalization
lemma
1
1
1
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)
L:Sequent List.
s
L.(
(s) = 0) & (
s
L.|= s
|= < hyp,concl > ) & (
a:Assignment.
s
L.a |
s
a |
< hyp,concl > )
By:
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]
Generated subgoal:
1
5.
M,N:Formula List, f:Formula.
(f) > 0 & hyp = (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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