Nuprl Lemma : lg-in-edges_wf
∀[T:Type]. ∀[g:LabeledGraph(T)]. ∀[x:ℕlg-size(g)]. (lg-in-edges(g;x) ∈ ℕlg-size(g) List)
Proof
Definitions occuring in Statement :
lg-in-edges: lg-in-edges(g;x),
lg-size: lg-size(g),
labeled-graph: LabeledGraph(T),
list: T List,
int_seg: {i..j-},
uall: ∀[x:A]. B[x],
member: t ∈ T,
natural_number: $n,
universe: Type
Lemmas :
length_wf_nat,
top_wf,
dep-isect-subtype,
list_wf,
int_seg_wf,
length_wf,
select_wf,
nat_wf,
sq_stable__le,
lg-size_wf,
labeled-graph_wf
Latex:
\mforall{}[T:Type]. \mforall{}[g:LabeledGraph(T)]. \mforall{}[x:\mBbbN{}lg-size(g)]. (lg-in-edges(g;x) \mmember{} \mBbbN{}lg-size(g) List)
Date html generated:
2015_07_22-PM-00_28_41
Last ObjectModification:
2015_01_28-PM-11_32_46
Home
Index