Nuprl Lemma : lg-size-nil
[T:Type]. [g:LabeledGraph(T)]. uiff(lg-size(g) = 0;g = lg-nil())
Proof not projected
Definitions occuring in Statement :
lg-nil: lg-nil(),
lg-size: lg-size(g),
labeled-graph: LabeledGraph(T),
uiff: uiff(P;Q),
uall: [x:A]. B[x],
natural_number: $n,
int: 
,
universe: Type,
equal: s = t
Definitions :
uimplies: b supposing a,
and: P 
Q,
member: t 
T,
lg-nil: lg-nil(),
lg-size: lg-size(g),
uiff: uiff(P;Q),
uall: [x:A]. B[x],
prop: 
,
ycomb: Y,
all: x:A. B[x],
implies: P 
Q,
length: ||as||,
labeled-graph: LabeledGraph(T),
nat: 
Lemmas :
lg-nil_wf,
labeled-graph_wf,
nat_wf,
lg-size_wf,
equal_wf,
int_seg_wf,
length_wf,
length_wf_nat,
non_neg_length,
top_wf
\mforall{}[T:Type]. \mforall{}[g:LabeledGraph(T)]. uiff(lg-size(g) = 0;g = lg-nil())
Date html generated:
2012_01_23-PM-12_37_09
Last ObjectModification:
2011_12_14-PM-11_04_56
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