Nuprl Lemma : MTree_Node-children_wf
∀[T:Type]. ∀[v:MultiTree(T)]. MTree_Node-children(v) ∈ {a:Atom| (a ∈ MTree_Node-labels(v))} ─→ MultiTree(T) supposing \000C↑MTree_Node?(v)
Proof
Definitions occuring in Statement :
MTree_Node-children: MTree_Node-children(v),
MTree_Node-labels: MTree_Node-labels(v),
MTree_Node?: MTree_Node?(v),
MultiTree: MultiTree(T),
l_member: (x ∈ l),
assert: ↑b,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
member: t ∈ T,
set: {x:A| B[x]} ,
function: x:A ─→ B[x],
atom: Atom,
universe: Type
Lemmas :
MultiTree-ext,
eq_atom_wf,
bool_wf,
eqtt_to_assert,
assert_of_eq_atom,
subtype_base_sq,
atom_subtype_base,
list_wf,
less_than_wf,
length_wf,
set_subtype_base,
list_subtype_base,
eqff_to_assert,
equal_wf,
bool_cases_sqequal,
bool_subtype_base,
assert-bnot,
neg_assert_of_eq_atom,
assert_wf,
MTree_Node?_wf,
MultiTree_wf
\mforall{}[T:Type]. \mforall{}[v:MultiTree(T)].
MTree\_Node-children(v) \mmember{} \{a:Atom| (a \mmember{} MTree\_Node-labels(v))\} {}\mrightarrow{} MultiTree(T) supposing \muparrow{}MTree\_No\000Cde?(v)
Date html generated:
2015_07_17-AM-07_46_04
Last ObjectModification:
2015_01_27-AM-09_45_07
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