Nuprl Lemma : disjoint-union-comb-es-sv
[A,B:
']. [es:EO']. [X:EClass'(A)]. [Y:EClass'(B)].
(es-sv-class(es;X (+) Y)) supposing (disjoint-classrel(es;A;X;B;Y) and es-sv-class(es;Y) and es-sv-class(es;X))
Proof not projected
Definitions occuring in Statement :
disjoint-union-comb: X (+) Y,
Message: Message,
es-sv-class: es-sv-class(es;X),
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],
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,
subtype: S 
T
Lemmas :
parallel-class-es-sv,
simple-comb-1_wf,
lifting-1_wf,
simple-comb-1-es-sv,
disjoint-classrel-symm,
simple-comb-1-disjoint-classrel,
bag-size_wf,
disjoint-union-comb_wf,
Message_wf,
nat_wf,
es-E_wf,
event-ordering+_inc,
disjoint-classrel_wf,
es-sv-class_wf,
event-ordering+_wf,
bag_wf
\mforall{}[A,B:\mBbbU{}']. \mforall{}[es:EO']. \mforall{}[X:EClass'(A)]. \mforall{}[Y:EClass'(B)].
(es-sv-class(es;X (+) Y)) supposing
(disjoint-classrel(es;A;X;B;Y) and
es-sv-class(es;Y) and
es-sv-class(es;X))
Date html generated:
2012_01_23-PM-01_26_39
Last ObjectModification:
2012_01_11-PM-07_42_51
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