Nuprl Lemma : all-class-value-ordered-pairs+_wf
[es:EO']. [T:
']. [A:EClass'(T)]. [Q:T 
T 
{i''}].
(all-class-value-ordered-pairs+{i:l}(es;T;A;t1,t2.Q[t1;t2]) 
{i''})
Proof not projected
Definitions occuring in Statement :
all-class-value-ordered-pairs+: all-class-value-ordered-pairs+{i:l}(es;T;A;t1,t2.Q[t1; t2]),
Message: Message,
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
uall: [x:A]. B[x],
prop: ,
so_apply: x[s1;s2],
member: t T,
function: x:A B[x],
universe: Type
Definitions :
apply: f a,
so_apply: x[s1;s2],
all-class-value-ordered-pairs+: all-class-value-ordered-pairs+{i:l}(es;T;A;t1,t2.Q[t1; t2]),
universe: Type,
prop: ,
equal: s = t,
member: t T,
isect: 
x:A. B[x],
function: x:A B[x],
uall: [x:A]. B[x],
eclass: EClass(A[eo; e]),
Message: Message,
so_lambda: 
x y.t[x; y],
event-ordering+: EO+(Info),
axiom: Ax,
bag: bag(T),
record+: record+,
eq_atom: eq_atom$n(x;y),
eq_atom: x =a y,
dep-isect: Error :dep-isect,
bool: 
,
all: x:A. B[x],
label: ...$L... t,
subtype_rel: A 
r B,
uimplies: b supposing a,
subtype: S T,
es-E: E,
event_ordering: EO,
so_lambda: x.t[x],
implies: P 
Q,
classrel: v X(e),
es-causle: e c
e',
lambda: x.A[x],
record-select: r.x,
ifthenelse: if b then t else f fi ,
token: "$token",
es-base-E: es-base-E(es),
top: Top,
atom: Atom
Lemmas :
bag_wf,
eclass_wf,
eclass_wf3,
eclass_wf2,
event-ordering+_wf,
subtype_rel_self,
event-ordering+_inc,
classrel_wf,
es-causle_wf,
uall_wf,
es-E_wf,
Message_wf,
es-base-E_wf
\mforall{}[es:EO']. \mforall{}[T:\mBbbU{}']. \mforall{}[A:EClass'(T)]. \mforall{}[Q:T {}\mrightarrow{} T {}\mrightarrow{} \mBbbP{}\{i''\}].
(all-class-value-ordered-pairs+\{i:l\}(es;T;A;t1,t2.Q[t1;t2]) \mmember{} \mBbbP{}\{i''\})
Date html generated:
2011_10_20-PM-04_57_26
Last ObjectModification:
2011_06_21-PM-03_06_54
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