Nuprl Lemma : parallel-class-es-sv
[Info:Type]. [es:EO+(Info)]. [A:Type]. [X,Y:EClass(A)].
(es-sv-class(es;X || Y)) supposing (es-sv-class(es;X) and es-sv-class(es;Y) and disjoint-classrel(es;A;X;A;Y))
Proof not projected
Definitions occuring in Statement :
parallel-class: X || Y,
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]),
es-sv-class: es-sv-class(es;X),
parallel-class: X || Y,
all: x:A. B[x],
eclass-compose2: eclass-compose2(f;X;Y),
member: t 
T,
and: P 
Q,
so_lambda: 
x y.t[x; y],
disjoint-classrel: disjoint-classrel(es;A;X;B;Y),
le: A 
B,
uall: [x:A]. B[x],
or: P 
Q,
nat: 
,
false: False,
uimplies: b supposing a,
rev_uimplies: rev_uimplies(P;Q),
uiff: uiff(P;Q),
not: 
A,
implies: P 
Q,
so_apply: x[s1;s2],
subtype: S 
T,
classrel: v X(e),
guard: {T}
Lemmas :
bag-size-append,
bag-size_wf,
nat_wf,
bag-size-one,
single-valued-bag-if-le1,
bag-member-single,
bag-only_wf2,
es-E_wf,
event-ordering+_inc,
parallel-class_wf,
es-sv-class_wf,
disjoint-classrel_wf,
eclass_wf,
event-ordering+_wf
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[A:Type]. \mforall{}[X,Y:EClass(A)].
(es-sv-class(es;X || Y)) supposing
(es-sv-class(es;X) and
es-sv-class(es;Y) and
disjoint-classrel(es;A;X;A;Y))
Date html generated:
2012_01_23-PM-01_17_59
Last ObjectModification:
2012_01_11-PM-06_18_53
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