Nuprl Lemma : MultiTreeco_size_wf
∀[T:Type]. ∀[p:MultiTreeco(T)]. (MultiTreeco_size(p) ∈ partial(ℕ))
Proof
Definitions occuring in Statement :
MultiTreeco_size: MultiTreeco_size(p),
MultiTreeco: MultiTreeco(T),
partial: partial(T),
nat: ℕ,
uall: ∀[x:A]. B[x],
member: t ∈ T,
universe: Type
Lemmas :
fix_wf_corec-partial1,
nat_wf,
set-value-type,
le_wf,
int-value-type,
nat-mono,
eq_atom_wf,
bool_wf,
eqtt_to_assert,
assert_of_eq_atom,
list_wf,
less_than_wf,
length_wf,
l_member_wf,
eqff_to_assert,
equal_wf,
bool_cases_sqequal,
subtype_base_sq,
bool_subtype_base,
assert-bnot,
neg_assert_of_eq_atom,
subtype_rel_product,
subtype_rel_dep_function,
set_wf,
subtype_rel_wf,
strong-continuous-depproduct,
strong-continuous-function,
continuous-id,
continuous-constant,
subtype_rel_weakening,
atom_subtype_base,
add-wf-partial-nat,
false_wf,
inclusion-partial,
sum-partial-nat,
length_wf_nat,
select_wf,
list-subtype,
sq_stable__le,
int_seg_wf,
partial_wf,
MultiTreeco_wf
\mforall{}[T:Type]. \mforall{}[p:MultiTreeco(T)]. (MultiTreeco\_size(p) \mmember{} partial(\mBbbN{}))
Date html generated:
2015_07_17-AM-07_45_41
Last ObjectModification:
2015_01_27-AM-09_45_36
Home
Index