Nuprl Lemma : SM1-class-du-locally-programmable
[A:
']
  
B:{B:
'| valueall-type(B)} . 
init:Id 
 bag(B). 
tr:Id 
 A 
 B 
 B.
    
[X:EClass'(A)]. (NormalLProgrammable'(A;X) 
 NormalLProgrammable'(B;SM1-class-du(init;<tr, X>)))
Proof not projected
Definitions occuring in Statement : 
SM1-class-du: SM1-class-du(init;trX), 
Message: Message, 
normal-locally-programmable: NormalLProgrammable(A;X), 
eclass: EClass(A[eo; e]), 
Id: Id, 
uall:
[x:A]. B[x], 
all:
x:A. B[x], 
implies: P 
 Q, 
set: {x:A| B[x]} , 
function: x:A 
 B[x], 
pair: <a, b>, 
universe: Type, 
bag: bag(T), 
valueall-type: valueall-type(T)
Definitions : 
uall:
[x:A]. B[x], 
all:
x:A. B[x], 
eclass: EClass(A[eo; e]), 
implies: P 
 Q, 
SM1-class-du: SM1-class-du(init;trX), 
member: t 
 T, 
prop:
, 
subtype: S 
 T
Lemmas : 
Accum-loc-class-locally-programmable, 
normal-locally-programmable_wf, 
Message_wf, 
event-ordering+_wf, 
es-E_wf, 
event-ordering+_inc, 
bag_wf, 
Id_wf, 
valueall-type_wf
\mforall{}[A:\mBbbU{}']
    \mforall{}B:\{B:\mBbbU{}'|  valueall-type(B)\}  .  \mforall{}init:Id  {}\mrightarrow{}  bag(B).  \mforall{}tr:Id  {}\mrightarrow{}  A  {}\mrightarrow{}  B  {}\mrightarrow{}  B.
        \mforall{}[X:EClass'(A)]
            (NormalLProgrammable'(A;X)  {}\mRightarrow{}  NormalLProgrammable'(B;SM1-class-du(init;<tr,  X>)))
Date html generated:
2012_01_23-PM-01_07_15
Last ObjectModification:
2011_11_29-PM-05_48_01
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