Nuprl Lemma : disjoint-union-class-single-val
[A,B:
']. [es:EO']. [X:EClass'(A)]. [Y:EClass'(B)].
(single-valued-classrel(es;X;A) 
single-valued-classrel(es;Y;B) single-valued-classrel(es;X + Y;A + B))
Proof not projected
Definitions occuring in Statement :
disjoint-union-class: X + Y,
Message: Message,
single-valued-classrel: single-valued-classrel(es;X;T),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
uall: [x:A]. B[x],
implies: P Q,
union: left + right,
universe: Type
Definitions :
eclass: EClass(A[eo; e]),
implies: P Q,
single-valued-classrel: single-valued-classrel(es;X;T),
all: x:A. B[x],
member: t 
T,
prop: 
,
uall: [x:A]. B[x],
and: P 
Q,
uimplies: b supposing a,
not: 
A,
uiff: uiff(P;Q),
false: False,
subtype: S 
T
Lemmas :
disjoint-union-classrel,
classrel_wf,
Message_wf,
disjoint-union-class_wf,
es-E_wf,
event-ordering+_inc,
event-ordering+_wf,
bag_wf
\mforall{}[A,B:\mBbbU{}']. \mforall{}[es:EO']. \mforall{}[X:EClass'(A)]. \mforall{}[Y:EClass'(B)].
(single-valued-classrel(es;X;A)
{}\mRightarrow{} single-valued-classrel(es;Y;B)
{}\mRightarrow{} single-valued-classrel(es;X + Y;A + B))
Date html generated:
2012_01_23-PM-01_13_03
Last ObjectModification:
2011_10_23-PM-11_06_03
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