Nuprl Lemma : C_TYPE-rank_wf
∀[ctyp:C_TYPE()]. (C_TYPE-rank(ctyp) ∈ ℕ)
Proof
Definitions occuring in Statement :
C_TYPE-rank: C_TYPE-rank(ctyp),
C_TYPE: C_TYPE(),
nat: ℕ,
uall: ∀[x:A]. B[x],
member: t ∈ T
Lemmas :
C_TYPE_ind_wf_simple,
nat_wf,
false_wf,
le_wf,
sum_wf,
length_wf_nat,
select_wf,
C_TYPE_wf,
sq_stable__le,
int_seg_wf,
length_wf,
non_neg_sum,
zero-le-nat,
subtype_rel-equal,
spread_to_pi12,
top_wf,
subtype_rel_list,
subtype_rel_product,
subtype_top,
iff_weakening_equal,
l_all_wf2,
l_member_wf,
list_wf,
decidable__le,
not-le-2,
condition-implies-le,
minus-add,
minus-one-mul,
zero-add,
add-associates,
add-swap,
add-commutes,
add_functionality_wrt_le,
add-zero,
le-add-cancel
\mforall{}[ctyp:C\_TYPE()]. (C\_TYPE-rank(ctyp) \mmember{} \mBbbN{})
Date html generated:
2015_07_17-AM-07_42_59
Last ObjectModification:
2015_02_03-PM-09_38_17
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