Nuprl Lemma : classrel-multi-list_wf
[es:EO']. [e:E]. [m1:
]. [m2:{m:| m 
m1 } ]. [A:{m1..m2
} 
']. [Xs:k:{m1..m2} EClass'(A k)].
[L:(n:{m1..m2} 
A n E) List].
(classrel-multi-list(es;A;Xs;L;e;m1;m2) 
')
Proof not projected
Definitions occuring in Statement :
classrel-multi-list: classrel-multi-list(es;A;Xs;L;e;n1;n2),
Message: Message,
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-E: E,
int_seg: {i..j},
uall: [x:A]. B[x],
prop: ,
ge: i j ,
member: t T,
set: {x:A| B[x]} ,
apply: f a,
function: x:A B[x],
product: x:A B[x],
list: type List,
int: ,
universe: Type
Definitions :
uall: [x:A]. B[x],
ge: i j ,
int_seg: {i..j},
eclass: EClass(A[eo; e]),
member: t T,
prop: ,
classrel-multi-list: classrel-multi-list(es;A;Xs;L;e;n1;n2),
and: P 
Q,
all: x:A. B[x],
not: 
A,
iff: P 
Q,
exists: 
x:A. B[x],
cand: A c B,
so_lambda: 
x.t[x],
top: Top,
subtype: S 
T,
lelt: i 
j < k,
le: A B,
implies: P Q,
false: False,
rev_implies: P Q,
so_apply: x[s]
Lemmas :
l_all_wf2,
int_seg_wf,
es-E_wf,
l_member_wf,
classrel_wf,
Message_wf,
pi1_wf_top,
pi2_wf,
event-ordering+_inc,
int_seg_properties,
le_wf,
not_wf,
sorted-by_wf,
es-locl_wf,
no_repeats_wf,
map_wf,
iff_wf,
es-le_wf,
event-ordering+_wf,
bag_wf,
ge_wf
\mforall{}[es:EO']. \mforall{}[e:E]. \mforall{}[m1:\mBbbZ{}]. \mforall{}[m2:\{m:\mBbbZ{}| m \mgeq{} m1 \} ]. \mforall{}[A:\{m1..m2\msupminus{}\} {}\mrightarrow{} \mBbbU{}'].
\mforall{}[Xs:k:\{m1..m2\msupminus{}\} {}\mrightarrow{} EClass'(A k)]. \mforall{}[L:(n:\{m1..m2\msupminus{}\} \mtimes{} A n \mtimes{} E) List].
(classrel-multi-list(es;A;Xs;L;e;m1;m2) \mmember{} \mBbbP{}')
Date html generated:
2011_10_20-PM-03_35_55
Last ObjectModification:
2011_08_15-PM-01_20_05
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