Nuprl Lemma : rank-Ex1_wf
∀[T:Type]. ∀[t:RankEx1(T)]. (rank-Ex1(t) ∈ ℕ)
Proof
Definitions occuring in Statement :
rank-Ex1: rank-Ex1(t),
RankEx1: RankEx1(T),
nat: ℕ,
uall: ∀[x:A]. B[x],
member: t ∈ T,
universe: Type
Lemmas :
nat_properties,
less_than_transitivity1,
less_than_irreflexivity,
ge_wf,
less_than_wf,
le_wf,
RankEx1_size_wf,
int_seg_wf,
decidable__le,
subtract_wf,
false_wf,
not-ge-2,
less-iff-le,
condition-implies-le,
minus-one-mul,
zero-add,
minus-add,
minus-minus,
add-associates,
add-swap,
add-commutes,
add_functionality_wrt_le,
add-zero,
le-add-cancel,
decidable__equal_int,
subtype_rel-int_seg,
le_weakening,
int_seg_properties,
RankEx1-ext,
eq_atom_wf,
bool_wf,
eqtt_to_assert,
assert_of_eq_atom,
subtype_base_sq,
atom_subtype_base,
eqff_to_assert,
equal_wf,
bool_cases_sqequal,
bool_subtype_base,
assert-bnot,
neg_assert_of_eq_atom,
not-le-2,
subtract-is-less,
lelt_wf,
imax_wf,
zero-le-nat,
add-nat,
imax_ub,
sq_stable__le,
decidable__lt,
sum-nat,
length_wf_nat,
select_wf,
length_wf,
sum_wf,
sum-nat-less,
not-equal-2,
le-add-cancel-alt,
add-mul-special,
zero-mul,
nat_wf,
RankEx1_wf,
imax-list-is-nat,
map-as-map-upto,
subtype_rel_list,
top_wf,
map_wf,
upto_wf
\mforall{}[T:Type]. \mforall{}[t:RankEx1(T)]. (rank-Ex1(t) \mmember{} \mBbbN{})
Date html generated:
2015_07_17-AM-07_48_45
Last ObjectModification:
2015_01_27-AM-09_39_31
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