{ 
[Info,A:Type]. [L:EClass(A) List]. [es:EO+(Info)]. [e:E].
uiff(
e 
first-class(L);0 < index-of-first X in L.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,
uiff: uiff(P;Q),
uall: [x:A]. B[x],
less_than: a < b,
list: type List,
natural_number: $n,
universe: Type,
first_index: index-of-first x in L.P[x]
Definitions :
uall: [x:A]. B[x],
uiff: uiff(P;Q),
all: x:A. B[x],
member: t T,
and: P 
Q,
uimplies: b supposing a,
prop: 
,
subtype: S 
T,
so_lambda: 
x y.t[x; y],
so_lambda: x.t[x],
iff: P 
Q,
rev_implies: P Q,
implies: P Q,
so_apply: x[s1;s2],
nat: 
,
so_apply: x[s],
guard: {T}
Lemmas :
is-first-class,
assert_wf,
in-eclass_wf,
first-class_wf,
top_wf,
eclass_wf,
es-E_wf,
event-ordering+_inc,
es-interface-top,
assert_witness,
first_index_wf,
nat_wf,
event-ordering+_wf,
l_exists_wf,
l_member_wf,
uiff_functionality_wrt_uiff2,
first_index-positive
\mforall{}[Info,A:Type]. \mforall{}[L:EClass(A) List]. \mforall{}[es:EO+(Info)]. \mforall{}[e:E].
uiff(\muparrow{}e \mmember{}\msubb{} first-class(L);0 < index-of-first X in L.e \mmember{}\msubb{} X)
Date html generated:
2011_08_16-AM-11_41_56
Last ObjectModification:
2011_06_20-AM-00_32_50
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