Nuprl Lemma : C_TYPEco_size_wf
∀[p:C_TYPEco()]. (C_TYPEco_size(p) ∈ partial(ℕ))
Proof
Definitions occuring in Statement :
C_TYPEco_size: C_TYPEco_size(p),
C_TYPEco: C_TYPEco(),
partial: partial(T),
nat: ℕ,
uall: ∀[x:A]. B[x],
member: t ∈ T
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,
unit_wf2,
eqff_to_assert,
equal_wf,
bool_cases_sqequal,
subtype_base_sq,
bool_subtype_base,
assert-bnot,
neg_assert_of_eq_atom,
list_wf,
subtype_rel_product,
subtype_rel_self,
subtype_rel_list,
subtype_rel_wf,
strong-continuous-depproduct,
continuous-constant,
strong-continuous-list,
strong-continuous-product,
continuous-id,
subtype_rel_weakening,
atom_subtype_base,
false_wf,
inclusion-partial,
add-wf-partial-nat,
sum-partial-nat,
length_wf_nat,
select_wf,
sq_stable__le,
int_seg_wf,
length_wf,
partial_wf,
C_TYPEco_wf
\mforall{}[p:C\_TYPEco()]. (C\_TYPEco\_size(p) \mmember{} partial(\mBbbN{}))
Date html generated:
2015_07_17-AM-07_42_02
Last ObjectModification:
2015_01_27-AM-09_47_51
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