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
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
lg-connected: lg-connected(g;a;b),
infix_ap: x f y,
subtype_rel: A ⊆r B,
prop: ℙ,
nat: ℕ
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:
2016_05_17-AM-10_10_02
Last ObjectModification:
2015_12_29-PM-05_32_45
Theory : process-model
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