Nuprl Lemma : disjoint-union-comb-single-val
[A,B:
']. [es:EO']. [X:EClass'(A)]. [Y:EClass'(B)].
(single-valued-classrel(es;X (+) Y;A + B)) supposing
(disjoint-classrel(es;A;X;B;Y) and
single-valued-classrel(es;Y;B) and
single-valued-classrel(es;X;A))
Proof not projected
Definitions occuring in Statement :
disjoint-union-comb: X (+) Y,
Message: Message,
single-valued-classrel: single-valued-classrel(es;X;T),
disjoint-classrel: disjoint-classrel(es;A;X;B;Y),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
uimplies: b supposing a,
uall: [x:A]. B[x],
union: left + right,
universe: Type
Definitions :
eclass: EClass(A[eo; e]),
disjoint-union-comb: X (+) Y,
member: t 
T,
uall: [x:A]. B[x],
uimplies: b supposing a,
all: x:A. B[x],
implies: P 
Q,
prop: 
,
subtype: S 
T
Lemmas :
parallel-class-single-val,
simple-comb-1_wf,
lifting-1_wf,
simple-comb-1-single-val,
disjoint-classrel-symm,
simple-comb-1-disjoint-classrel,
classrel_wf,
Message_wf,
disjoint-union-comb_wf,
es-E_wf,
event-ordering+_inc,
disjoint-classrel_wf,
single-valued-classrel_wf,
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 (+) Y;A + B)) supposing
(disjoint-classrel(es;A;X;B;Y) and
single-valued-classrel(es;Y;B) and
single-valued-classrel(es;X;A))
Date html generated:
2012_01_23-PM-01_26_21
Last ObjectModification:
2012_01_11-PM-07_46_06
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