Nuprl Lemma : eclass-val_wf1
[A:es:EO' 
E Type]. [X:EClass'(A[es;e])]. [es:EO']. [e:E]. X(e) 
A[es;e] supposing 
e 
X
Proof not projected
Definitions occuring in Statement :
Message: Message,
eclass-val: X(e),
in-eclass: e X,
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-E: E,
assert: b,
uimplies: b supposing a,
uall: [x:A]. B[x],
so_apply: x[s1;s2],
member: t T,
function: x:A B[x],
universe: Type
Definitions :
bool: 
,
void: Void,
atom: Atom,
es-base-E: es-base-E(es),
token: "$token",
msg-has-type: msg-has-type(m;T),
cond-class: [X?Y],
so_apply: x[s],
implies: P 
Q,
union: left + right,
or: P 
Q,
guard: {T},
eq_knd: a = b,
l_member: (x l),
fpf-dom: x dom(f),
bag: bag(T),
so_lambda: 
x.t[x],
fpf: a:A fp-> B[a],
record-select: r.x,
eq_atom: x =a y,
eq_atom: eq_atom$n(x;y),
set: {x:A| B[x]} ,
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,
product: x:A 
B[x],
and: P 
Q,
uiff: uiff(P;Q),
subtype_rel: A 
r B,
top: Top,
in-eclass: e X,
subtype: S T,
lambda: x.A[x],
es-E-interface: E(X),
all: x:A. B[x],
axiom: Ax,
eclass-val: X(e),
apply: f a,
so_apply: x[s1;s2],
prop: 
,
assert: b,
function: x:A B[x],
universe: Type,
uimplies: b supposing a,
equal: s = t,
so_lambda: x y.t[x; y],
eclass: EClass(A[eo; e]),
Message: Message,
uall: [x:A]. B[x],
event-ordering+: EO+(Info),
event_ordering: EO,
isect: 
x:A. B[x],
es-E: E,
member: t T
Lemmas :
eclass_wf,
Message_wf,
in-eclass_wf,
assert_wf,
subtype_rel_wf,
member_wf,
event-ordering+_wf,
event-ordering+_inc,
es-E_wf,
eclass-val_wf,
uall_wf,
es-base-E_wf,
subtype_rel_self,
es-interface-subtype_rel2,
top_wf
\mforall{}[A:es:EO' {}\mrightarrow{} E {}\mrightarrow{} Type]. \mforall{}[X:EClass'(A[es;e])]. \mforall{}[es:EO']. \mforall{}[e:E].
X(e) \mmember{} A[es;e] supposing \muparrow{}e \mmember{}\msubb{} X
Date html generated:
2011_10_20-PM-04_51_50
Last ObjectModification:
2011_05_20-PM-05_01_37
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