Nuprl Lemma : disjoint-union-comb-nlp
A,B:{T:
'| valueall-type(T)} .
[X:EClass(A)]. [Y:EClass(B)].
(NormalLProgrammable'(A;X) 
NormalLProgrammable'(B;Y) NormalLProgrammable'(A + B;X (+) Y))
Proof not projected
Definitions occuring in Statement :
disjoint-union-comb: X (+) Y,
Message: Message,
normal-locally-programmable: NormalLProgrammable(A;X),
eclass: EClass(A[eo; e]),
uall: [x:A]. B[x],
all: x:A. B[x],
implies: P Q,
set: {x:A| B[x]} ,
union: left + right,
universe: Type,
valueall-type: valueall-type(T)
Definitions :
all: x:A. B[x],
uall: [x:A]. B[x],
eclass: EClass(A[eo; e]),
implies: P Q,
disjoint-union-comb: X (+) Y,
member: t 
T,
squash: 
T,
true: True,
top: Top,
sq_stable: SqStable(P),
uimplies: b supposing a,
prop: 
,
subtype: S 
T
Lemmas :
parallel-class-nlp,
union-valueall-type,
sq_stable__valueall-type,
valueall-type_wf,
simple-comb-1_wf,
Message_wf,
lifting-1_wf,
simple-comb-1-nlp,
lifting-1-strict,
empty-bag_wf,
normal-locally-programmable_wf,
event-ordering+_wf,
es-E_wf,
event-ordering+_inc,
bag_wf
\mforall{}A,B:\{T:\mBbbU{}'| valueall-type(T)\} .
\mforall{}[X:EClass(A)]. \mforall{}[Y:EClass(B)].
(NormalLProgrammable'(A;X) {}\mRightarrow{} NormalLProgrammable'(B;Y) {}\mRightarrow{} NormalLProgrammable'(A + B;X (+) Y))
Date html generated:
2012_01_23-PM-01_26_07
Last ObjectModification:
2012_01_12-AM-10_55_03
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