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Definitions
normalization
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ClassicalProps(jlc)
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normalization
lemma
1
1
1
2
2
2
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)
6.
( < hyp,concl > ) = 0
L:Sequent List.
s
L.(
(s) = 0) & (
s
L.|= s
|= < hyp,concl > ) & (
a:Assignment.
s
L.a |
s
a |
< hyp,concl > )
By:
Witness [ < hyp,concl > ]
Generated subgoal:
1
s
[ < hyp,concl > ].(
(s) = 0) & (
s
[ < hyp,concl > ].|= s
|= < hyp,concl > ) & (
a:Assignment.
s
[ < hyp,concl > ].a |
s
a |
< hyp,concl > )
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