Nuprl Lemma : decidable__exists-classrel-between1
[Info,T:Type]. X:EClass(T). es:EO+(Info). e1,e2:E. Dec(
e:E. (e1 
loc e 
(e <loc e2) (
v:T. v 
X(e))))
Proof not projected
Definitions occuring in Statement :
classrel: v X(e),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-le: e loc e' ,
es-locl: (e <loc e'),
es-E: E,
decidable: Dec(P),
uall: [x:A]. B[x],
all: x:A. B[x],
exists: x:A. B[x],
squash: T,
and: P Q,
universe: Type
Definitions :
uall: [x:A]. B[x],
all: x:A. B[x],
member: t T,
so_lambda: 
x y.t[x; y],
implies: P 
Q,
alle-at: e@i.P[e],
so_lambda: x.t[x],
squash: T,
exists: x:A. B[x],
decidable: Dec(P),
and: P Q,
or: P 
Q,
cand: A c B,
true: True,
prop: 
,
not: 
A,
existse-between1: e[e1,e2).P[e],
so_apply: x[s1;s2],
uimplies: b supposing a,
so_apply: x[s],
false: False,
es-locl: (e <loc e'),
subtype: S 
T
Lemmas :
decidable__equal_Id,
es-loc_wf,
es-E_wf,
event-ordering+_inc,
event-ordering+_wf,
eclass_wf,
decidable__existse-between1,
squash_wf,
exists_wf,
classrel_wf,
Id_wf,
decidable__exists_classrel,
equal_wf,
es-le_wf,
es-locl_wf,
not_wf,
and_wf,
es-le-loc
\mforall{}[Info,T:Type].
\mforall{}X:EClass(T). \mforall{}es:EO+(Info). \mforall{}e1,e2:E. Dec(\mexists{}e:E. (e1 \mleq{}loc e \mwedge{} (e <loc e2) \mwedge{} (\mdownarrow{}\mexists{}v:T. v \mmember{} X(e))))
Date html generated:
2012_01_23-PM-12_17_19
Last ObjectModification:
2012_01_13-AM-11_32_10
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