Nuprl Lemma : lg-add_wf_dag
∀[T:Type]. ∀[g:LabeledDAG(T)]. ∀[y:ℕlg-size(g)]. ∀[x:ℕy]. (lg-add(g;x;y) ∈ LabeledDAG(T))
Proof
Definitions occuring in Statement :
ldag: LabeledDAG(T),
lg-add: lg-add(g;a;b),
lg-size: lg-size(g),
int_seg: {i..j-},
uall: ∀[x:A]. B[x],
member: t ∈ T,
natural_number: $n,
universe: Type
Lemmas :
lg-add_wf,
less_than_transitivity2,
lg-size_wf,
le_weakening2,
is-dag-add,
is-dag_wf,
int_seg_wf,
ldag_wf
Latex:
\mforall{}[T:Type]. \mforall{}[g:LabeledDAG(T)]. \mforall{}[y:\mBbbN{}lg-size(g)]. \mforall{}[x:\mBbbN{}y]. (lg-add(g;x;y) \mmember{} LabeledDAG(T))
Date html generated:
2015_07_23-AM-11_03_16
Last ObjectModification:
2015_01_28-PM-11_33_46
Home
Index