{ 
[T:Type]. [g:LabeledGraph(T)]. [a,b:
lg-size(g)].
(lg-connected(g;a;b) 
) }
{ Proof }
Definitions occuring in Statement :
lg-connected: lg-connected(g;a;b),
lg-size: lg-size(g),
labeled-graph: LabeledGraph(T),
int_seg: {i..j
},
uall: [x:A]. B[x],
prop: ,
member: t T,
natural_number: $n,
universe: Type
Definitions :
uall: [x:A]. B[x],
member: t T,
prop: ,
lg-connected: lg-connected(g;a;b),
infix_ap: x f y,
nat:
Lemmas :
rel_plus_wf,
int_seg_wf,
lg-edge_wf,
lg-size_wf,
nat_wf,
labeled-graph_wf
\mforall{}[T:Type]. \mforall{}[g:LabeledGraph(T)]. \mforall{}[a,b:\mBbbN{}lg-size(g)]. (lg-connected(g;a;b) \mmember{} \mBbbP{})
Date html generated:
2011_08_16-PM-06_40_25
Last ObjectModification:
2011_06_20-AM-01_59_26
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