{ 
[Info,A:Type].
L:EClass(A) List. es:EO+(Info). e:E.
(
e 
first-class(L) 
(
XL. e X)) }
{ Proof }
Definitions occuring in Statement :
first-class: first-class(L),
in-eclass: e X,
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-E: E,
assert: b,
uall: [x:A]. B[x],
all: x:A. B[x],
iff: P Q,
list: type List,
universe: Type,
l_exists: (xL. P[x])
Definitions :
uall: [x:A]. B[x],
all: x:A. B[x],
assert: b,
first-class: first-class(L),
reduce: reduce(f;k;as),
bfalse: ff,
ifthenelse: if b then t else f fi ,
member: t T,
so_lambda: 
x y.t[x; y],
iff: P Q,
false: False,
and: P 
Q,
implies: P Q,
rev_implies: P Q,
prop: 
,
so_lambda: x.t[x],
subtype: S 
T,
or: P 
Q,
so_apply: x[s1;s2],
l_exists: (xL. P[x]),
exists: x:A. B[x],
so_apply: x[s]
Lemmas :
es-E_wf,
event-ordering+_inc,
eclass_wf,
event-ordering+_wf,
false_wf,
nil_member,
l_exists_wf,
assert_wf,
in-eclass_wf,
es-interface-top,
l_member_wf,
cond-class_wf,
top_wf,
first-class_wf,
iff_functionality_wrt_iff,
iff_transitivity,
is-cond-class,
or_functionality_wrt_iff,
l_exists_cons
\mforall{}[Info,A:Type]. \mforall{}L:EClass(A) List. \mforall{}es:EO+(Info). \mforall{}e:E. (\muparrow{}e \mmember{}\msubb{} first-class(L) \mLeftarrow{}{}\mRightarrow{} (\mexists{}X\mmember{}L. \muparrow{}e \mmember{}\msubb{} X))
Date html generated:
2011_08_16-AM-11_41_50
Last ObjectModification:
2011_06_20-AM-00_32_44
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