Nuprl Lemma : lg-connected_wf
∀[T:Type]. ∀[g:LabeledGraph(T)]. ∀[a,b:ℕlg-size(g)]. (lg-connected(g;a;b) ∈ ℙ)
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: ℙ,
member: t ∈ T,
natural_number: $n,
universe: Type
Lemmas :
infix_ap_wf,
int_seg_wf,
rel_plus_wf,
lg-edge_wf,
lg-size_wf,
nat_wf,
labeled-graph_wf
Latex:
\mforall{}[T:Type]. \mforall{}[g:LabeledGraph(T)]. \mforall{}[a,b:\mBbbN{}lg-size(g)]. (lg-connected(g;a;b) \mmember{} \mBbbP{})
Date html generated:
2015_07_22-PM-00_29_03
Last ObjectModification:
2015_01_28-PM-11_32_52
Home
Index