Nuprl Lemma : class-output-member-support
[Info,T:Type]. [es:EO+(Info)]. [bg:bag(E)]. [x:T]. [X:EClass(T)].
e:E. (e 
class-output-support(es;bg) 
x X(e)) supposing x class-output(X;es;bg)
Proof not projected
Definitions occuring in Statement :
classrel: v X(e),
class-output-support: class-output-support(es;bg),
class-output: class-output(X;es;bg),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-E: E,
uimplies: b supposing a,
uall: [x:A]. B[x],
exists: x:A. B[x],
squash: T,
and: P Q,
universe: Type,
bag-member: x bs,
bag: bag(T)
Definitions :
so_lambda: 
x y.t[x; y],
cand: A c B,
prop: 
,
subtype: S 
T,
all: x:A. B[x],
so_lambda: x.t[x],
true: True,
member: t T,
class-output-support: class-output-support(es;bg),
and: P Q,
exists: x:A. B[x],
squash: T,
bag-member: x bs,
bag: bag(T),
so_apply: x[s1;s2],
rev_implies: P 
Q,
implies: P 
Q,
iff: P Q,
so_apply: x[s],
rev_uimplies: rev_uimplies(P;Q),
uall: [x:A]. B[x],
uiff: uiff(P;Q),
uimplies: b supposing a
Lemmas :
event-ordering+_wf,
eclass_wf,
class-output_wf,
classrel_wf,
class-output-support_wf,
and_wf,
bag-member_wf,
l_member_wf,
bag_qinc,
member-es-le-before,
es-le_wf,
es-le-before_wf2,
event-ordering+_inc,
es-E_wf,
bag_wf,
bag-member-combine,
member-class-le-before,
member-class-output
\mforall{}[Info,T:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[bg:bag(E)]. \mforall{}[x:T]. \mforall{}[X:EClass(T)].
\mdownarrow{}\mexists{}e:E. (e \mdownarrow{}\mmember{} class-output-support(es;bg) \mwedge{} x \mmember{} X(e)) supposing x \mdownarrow{}\mmember{} class-output(X;es;bg)
Date html generated:
2012_01_23-PM-12_22_25
Last ObjectModification:
2011_12_13-PM-12_56_21
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