Nuprl Lemma : simple-comb-1-single-val
[Info:Type]. 
[es:EO+(Info)]. 
[A,B:Type]. 
[F:A 
 B]. 
[X:EClass(A)].
  single-valued-classrel(es;lifting-1(F)|X|;B) supposing single-valued-classrel(es;X;A)
Proof not projected
Definitions occuring in Statement : 
simple-comb-1: F|X|, 
single-valued-classrel: single-valued-classrel(es;X;T), 
eclass: EClass(A[eo; e]), 
event-ordering+: EO+(Info), 
uimplies: b supposing a, 
uall:
[x:A]. B[x], 
function: x:A 
 B[x], 
universe: Type, 
lifting-1: lifting-1(f)
Definitions : 
single-valued-classrel: single-valued-classrel(es;X;T), 
all:
x:A. B[x], 
implies: P 
 Q, 
member: t 
 T, 
so_lambda: 
x y.t[x; y], 
and: P 
 Q, 
squash:
T, 
true: True, 
uimplies: b supposing a, 
exists:
x:A. B[x], 
uiff: uiff(P;Q), 
uall:
[x:A]. B[x], 
prop:
, 
so_apply: x[s1;s2], 
subtype: S 
 T
Lemmas : 
simple-comb-1-classrel, 
classrel_wf, 
simple-comb-1_wf, 
lifting-1_wf, 
es-E_wf, 
event-ordering+_inc, 
single-valued-classrel_wf, 
eclass_wf, 
event-ordering+_wf, 
and_wf, 
equal_wf, 
squash_wf, 
true_wf
\mforall{}[Info:Type].  \mforall{}[es:EO+(Info)].  \mforall{}[A,B:Type].  \mforall{}[F:A  {}\mrightarrow{}  B].  \mforall{}[X:EClass(A)].
    single-valued-classrel(es;lifting-1(F)|X|;B)  supposing  single-valued-classrel(es;X;A)
Date html generated:
2012_01_23-PM-01_17_11
Last ObjectModification:
2012_01_11-PM-06_30_55
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