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Definitions
elimination
Sections
ClassicalProps(jlc)
Doc
At:
formula
or
left
sat
1
1.
concl:
Formula List
2.
M:
Formula List
3.
N:
Formula List
4.
q:
Formula
5.
r:
Formula
6.
a:
Assignment
a |= < q.(M @ N),concl > & a |= < r.(M @ N),concl >
a |= < M @ (q
r.N),concl >
By:
Rewrite (UnfoldC `sequent_satisfiable` THENC AbReduceC THENC HigherC (LemmaC
Thm*
P:(T
Prop), L,M:T List.
x
(L @ M).P(x)
x
L.P(x)
x
M.P(x)) THENC AbReduceC THENC HigherC (LemmaC
Thm*
a:Assignment, q,r:Formula. a |
q
r
a |
q & a |
r)) 0
Generated subgoal:
1
a |
q
F
M.a |
F
F
N.a |
F
F
concl.a |= F & a |
r
F
M.a |
F
F
N.a |
F
F
concl.a |= F
F
M.a |
F
a |
q & a |
r
F
N.a |
F
F
concl.a |= F
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