Nuprl Lemma : norm-lg_wf
∀[T:Type]. ∀[N:id-fun(T)]. (norm-lg(N) ∈ id-fun(LabeledGraph(T))) supposing value-type(T)
Proof
Definitions occuring in Statement :
norm-lg: norm-lg(N),
labeled-graph: LabeledGraph(T),
id-fun: id-fun(T),
value-type: value-type(T),
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
member: t ∈ T,
universe: Type
Lemmas :
norm-list_wf,
list_wf,
product-value-type,
norm-pair_wf,
list-value-type,
int-value-type,
equal-wf-base,
int_subtype_base,
id-fun_wf,
value-type_wf,
labeled-graph_wf,
set_wf,
equal_wf,
length_wf_nat,
top_wf,
dep-isect-subtype,
int_seg_wf,
length_wf,
subtype_rel_list,
nat_wf,
subtype_rel_product,
subtype_base_sq,
set_subtype_base,
le_wf,
zero-le-nat,
list-set-type2,
l_all_wf2,
l_member_wf,
less_than_wf,
lg-size_wf,
l_all_iff,
nat_properties,
list_subtype_base,
and_wf,
pi2_wf,
pi1_wf_top,
subtype_top,
select_wf,
decidable__lt,
false_wf,
less-iff-le,
add_functionality_wrt_le,
add-swap,
add-commutes,
le-add-cancel,
sq_stable__le,
equal_functionality_wrt_subtype_rel2
Latex:
\mforall{}[T:Type]. \mforall{}[N:id-fun(T)]. (norm-lg(N) \mmember{} id-fun(LabeledGraph(T))) supposing value-type(T)
Date html generated:
2015_07_23-AM-11_05_06
Last ObjectModification:
2015_01_28-PM-11_36_06
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