Nuprl Lemma : es-initial-event_wf
[Info,T:Type]. es:EO+(Info). [A:EClass(T)]. [e:E]. (es-initial-event(es;e;A) 
)
Proof not projected
Definitions occuring in Statement :
es-initial-event: es-initial-event(es;e;A),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-E: E,
uall: [x:A]. B[x],
prop: ,
all: x:A. B[x],
member: t T,
universe: Type
Definitions :
fpf: a:A fp-> B[a],
record-select: r.x,
eq_atom: x =a y,
eq_atom: eq_atom$n(x;y),
decide: case b of inl(x) => s[x] | inr(y) => t[y],
ifthenelse: if b then t else f fi ,
dep-isect: Error :dep-isect,
record+: record+,
strong-subtype: strong-subtype(A;B),
le: A 
B,
ge: i 
j ,
not: 
A,
less_than: a < b,
uimplies: b supposing a,
product: x:A 
B[x],
and: P 
Q,
uiff: uiff(P;Q),
subtype_rel: A 
r B,
top: Top,
in-eclass: e 
X,
es-loc: loc(e),
Id: Id,
set: {x:A| B[x]} ,
assert: 
b,
so_lambda: 
x.t[x],
es-first-at: e is first@ i s.t. e.P[e],
subtype: S T,
axiom: Ax,
es-initial-event: es-initial-event(es;e;A),
prop: ,
equal: s = t,
universe: Type,
all: x:A. B[x],
lambda: x.A[x],
function: x:A 
B[x],
so_lambda: x y.t[x; y],
eclass: EClass(A[eo; e]),
uall: [x:A]. B[x],
event-ordering+: EO+(Info),
event_ordering: EO,
es-E: E,
isect: 
x:A. B[x],
member: t T
Lemmas :
event-ordering+_inc,
event-ordering+_wf,
es-first-at_wf,
es-E_wf,
assert_wf,
in-eclass_wf,
Id_wf,
es-loc_wf,
member_wf,
eclass_wf,
subtype_rel_wf,
es-interface-top
\mforall{}[Info,T:Type]. \mforall{}es:EO+(Info). \mforall{}[A:EClass(T)]. \mforall{}[e:E]. (es-initial-event(es;e;A) \mmember{} \mBbbP{})
Date html generated:
2011_10_20-PM-04_55_22
Last ObjectModification:
2011_05_11-AM-11_30_26
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