Nuprl Lemma : parallel-class-disjoint-classrel
[A,B:
']. [es:EO']. [X,Y:EClass'(A)]. [Z:EClass'(B)].
(disjoint-classrel(es;A;X;B;Z) 
disjoint-classrel(es;A;Y;B;Z) disjoint-classrel(es;A;X || Y;B;Z))
Proof not projected
Definitions occuring in Statement :
Message: Message,
parallel-class: X || Y,
disjoint-classrel: disjoint-classrel(es;A;X;B;Y),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
uall: [x:A]. B[x],
implies: P Q,
universe: Type
Definitions :
uall: [x:A]. B[x],
eclass: EClass(A[eo; e]),
implies: P Q,
disjoint-classrel: disjoint-classrel(es;A;X;B;Y),
all: x:A. B[x],
or: P 
Q,
not: 
A,
member: t 
T,
false: False,
so_lambda: 
x.t[x],
guard: {T},
uimplies: b supposing a,
sq_or: a 
b,
uiff: uiff(P;Q),
and: P 
Q,
squash: T,
so_apply: x[s],
prop: 
,
subtype: S 
T
Lemmas :
parallel-classrel,
all_wf,
not_wf,
classrel_wf,
parallel-class_wf,
es-E_wf,
event-ordering+_inc,
disjoint-classrel_wf,
Message_wf,
event-ordering+_wf,
bag_wf
\mforall{}[A,B:\mBbbU{}']. \mforall{}[es:EO']. \mforall{}[X,Y:EClass'(A)]. \mforall{}[Z:EClass'(B)].
(disjoint-classrel(es;A;X;B;Z)
{}\mRightarrow{} disjoint-classrel(es;A;Y;B;Z)
{}\mRightarrow{} disjoint-classrel(es;A;X || Y;B;Z))
Date html generated:
2012_01_23-PM-01_24_43
Last ObjectModification:
2012_01_12-PM-12_34_46
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