Nuprl Lemma : once-classrel-weak
[Info,A:Type]. [X:EClass(A)]. [es:EO+(Info)]. [e:E].
v:A. (v 
once-class(X)(e) 
(no X prior to e) 
v {X}(e))
Proof not projected
Definitions occuring in Statement :
once-class: once-class(X),
no-prior-classrel: (no X prior to e),
classrel: v X(e),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-E: E,
uall: [x:A]. B[x],
guard: {T},
all: x:A. B[x],
iff: P Q,
and: P Q,
universe: Type
Definitions :
uall: [x:A]. B[x],
all: x:A. B[x],
iff: P Q,
and: P Q,
guard: {T},
member: t T,
implies: P Q,
rev_implies: P Q,
so_lambda: 
x y.t[x; y],
uiff: uiff(P;Q),
uimplies: b supposing a,
prop: 
,
so_apply: x[s1;s2],
subtype: S 
T
Lemmas :
once-classrel,
classrel_wf,
once-class_wf,
no-prior-classrel_wf,
es-E_wf,
event-ordering+_inc,
event-ordering+_wf,
eclass_wf
\mforall{}[Info,A:Type]. \mforall{}[X:EClass(A)]. \mforall{}[es:EO+(Info)]. \mforall{}[e:E].
\mforall{}v:A. (v \mmember{} once-class(X)(e) \mLeftarrow{}{}\mRightarrow{} (no X prior to e) \mwedge{} v \mmember{} \{X\}(e))
Date html generated:
2011_10_20-PM-03_22_19
Last ObjectModification:
2011_08_28-PM-12_08_52
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