Nuprl Lemma : es-sv-class-implies-single-valued-classrel
[Info,T:Type]. [es:EO+(Info)]. [X:EClass(T)]. single-valued-classrel(es;X;T) supposing es-sv-class(es;X)
Proof not projected
Definitions occuring in Statement :
single-valued-classrel: single-valued-classrel(es;X;T),
es-sv-class: es-sv-class(es;X),
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),
single-valued-classrel: single-valued-classrel(es;X;T),
member: t 
T,
so_lambda: 
x.t[x],
so_lambda: x y.t[x; y],
uall: [x:A]. B[x],
uimplies: b supposing a,
all: x:A. B[x],
implies: P 
Q,
le: A 
B,
not: 
A,
false: False,
or: P 
Q,
nat: 
,
prop: 
,
so_apply: x[s],
so_apply: x[s1;s2],
classrel: v X(e),
uiff: uiff(P;Q),
and: P 
Q,
subtype: S 
T
Lemmas :
bag-size_wf,
nat_wf,
classrel_wf,
es-E_wf,
event-ordering+_inc,
all_wf,
le_wf,
eclass_wf,
event-ordering+_wf,
bag-size-zero,
bag-member-empty-iff,
bag-size-one,
bag-member-single,
bag-only_wf
\mforall{}[Info,T:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[X:EClass(T)].
single-valued-classrel(es;X;T) supposing es-sv-class(es;X)
Date html generated:
2012_01_23-PM-12_18_23
Last ObjectModification:
2012_01_10-AM-11_32_33
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