Nuprl Lemma : until-prc_wf
[Info:{Info:Type| 
Info} ]
A,B:{B:Type| valueall-type(B)} .
[X:EClass(A)]. [Y:EClass(B)].
Xpr:NormalLProgrammable(A;X). Ypr:NormalLProgrammable(B;Y).
(until-prc(A;Xpr;Ypr) 
NormalLProgrammable(A;(X until Y)))
Proof not projected
Definitions occuring in Statement :
until-prc: until-prc(A;Xpr;Ypr),
normal-locally-programmable: NormalLProgrammable(A;X),
until-class: (X until Y),
eclass: EClass(A[eo; e]),
uall: [x:A]. B[x],
all: x:A. B[x],
squash: T,
member: t T,
set: {x:A| B[x]} ,
universe: Type,
valueall-type: valueall-type(T)
Definitions :
top: Top,
so_lambda: 
x y.t[x; y],
so_lambda: x.t[x],
prop: 
,
implies: P 
Q,
until-class-locally-programmable-ext,
bfalse: ff,
btrue: tt,
ifthenelse: if b then t else f fi ,
spreadn: spread4,
it: 
,
until-prc: until-prc(A;Xpr;Ypr),
member: t T,
all: x:A. B[x],
uall: [x:A]. B[x],
uimplies: b supposing a,
so_apply: x[s1;s2],
so_apply: x[s],
subtype: S 
T
Lemmas :
es-interface-top,
top_wf,
event-ordering+_inc,
es-interface-subtype_rel2,
until-class_wf,
normal-locally-programmable_wf,
event-ordering+_wf,
es-E_wf,
eclass_wf,
valueall-type_wf,
squash_wf,
uall_wf
\mforall{}[Info:\{Info:Type| \mdownarrow{}Info\} ]
\mforall{}A,B:\{B:Type| valueall-type(B)\} .
\mforall{}[X:EClass(A)]. \mforall{}[Y:EClass(B)].
\mforall{}Xpr:NormalLProgrammable(A;X). \mforall{}Ypr:NormalLProgrammable(B;Y).
(until-prc(A;Xpr;Ypr) \mmember{} NormalLProgrammable(A;(X until Y)))
Date html generated:
2011_10_20-PM-03_25_38
Last ObjectModification:
2011_08_15-PM-03_27_58
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