Nuprl Lemma : MTree-rank_wf
∀T:Type. ∀tr:MultiTree(T). (MTree-rank(tr) ∈ ℕ)
Proof
Definitions occuring in Statement :
MTree-rank: MTree-rank(t),
MultiTree: MultiTree(T),
nat: ℕ,
all: ∀x:A. B[x],
member: t ∈ T,
universe: Type
Lemmas :
list-subtype,
list_wf,
l_member_wf,
map_wf,
nat_wf,
lelt_wf,
length_wf,
subtype_base_sq,
atom_subtype_base,
length-map,
imax-list-ub,
subtype_rel_list,
less_than_transitivity1,
le_weakening,
false_wf,
zero-le-nat,
select_wf,
le_wf,
sq_stable__le,
imax-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{}T:Type. \mforall{}tr:MultiTree(T). (MTree-rank(tr) \mmember{} \mBbbN{})
Date html generated:
2015_07_17-AM-07_46_28
Last ObjectModification:
2015_01_27-AM-09_46_42
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