Nuprl Lemma : parallel-classrel-weak
[T,Info:Type]. [X,Y:EClass(T)]. [es:EO+(Info)]. [e:E]. [v:T]. (v 
X || Y(e) 
v X(e) 
v Y(e))
Proof not projected
Definitions occuring in Statement :
parallel-class: X || Y,
classrel: v X(e),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-E: E,
uall: [x:A]. B[x],
iff: P Q,
universe: Type
Definitions :
uall: [x:A]. B[x],
member: t T,
so_lambda: 
x y.t[x; y],
iff: P Q,
and: P 
Q,
implies: P Q,
rev_implies: P Q,
all: x:A. B[x],
so_apply: x[s1;s2],
uiff: uiff(P;Q),
uimplies: b supposing a,
subtype: S 
T,
prop: 
Lemmas :
parallel-classrel,
es-E_wf,
event-ordering+_inc,
event-ordering+_wf,
eclass_wf,
classrel_wf,
parallel-class_wf,
Error :sq_or_wf
\mforall{}[T,Info:Type]. \mforall{}[X,Y:EClass(T)]. \mforall{}[es:EO+(Info)]. \mforall{}[e:E]. \mforall{}[v:T].
(v \mmember{} X || Y(e) \mLeftarrow{}{}\mRightarrow{} v \mmember{} X(e) \mdownarrow{}\mvee{} v \mmember{} Y(e))
Date html generated:
2011_10_20-PM-03_21_40
Last ObjectModification:
2011_08_26-PM-10_38_35
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