Nuprl Lemma : remove-nat-missing_wf
∀[i:ℕ]. ∀[s:nat-missing-type()]. (remove-nat-missing(i;s) ∈ nat-missing-type())
Proof
Definitions occuring in Statement :
remove-nat-missing: remove-nat-missing(i;s),
nat-missing-type: nat-missing-type(),
nat: ℕ,
uall: ∀[x:A]. B[x],
member: t ∈ T
Lemmas :
value-type-has-value,
nat_wf,
set-value-type,
le_wf,
int-value-type,
last_wf,
assert_of_null,
assert_wf,
null_wf3,
subtype_rel_list,
top_wf,
not_wf,
equal-wf-T-base,
list_wf,
eq_int_wf,
subtract_wf,
bool_wf,
eqtt_to_assert,
assert_of_eq_int,
eqff_to_assert,
equal_wf,
bool_cases_sqequal,
subtype_base_sq,
bool_subtype_base,
assert-bnot,
neg_assert_of_eq_int,
l_member_wf,
all_wf,
less_than_wf,
select-last-in-nat-missing_wf,
l-ordered_wf,
subtype_rel_sets,
set_wf,
filter_wf5,
lt_int_wf,
l-ordered-filter,
l_all_iff,
member_filter_2,
assert_of_lt_int,
l_all_wf2,
decidable__le,
false_wf,
not-le-2,
not-equal-2,
sq_stable__le,
le_antisymmetry_iff,
condition-implies-le,
minus-one-mul,
minus-add,
minus-minus,
add-associates,
add-swap,
add-commutes,
add_functionality_wrt_le,
add-zero,
le-add-cancel-alt,
last_member,
decidable__equal_nat,
length_wf,
less-iff-le,
zero-add,
le-add-cancel,
decidable__lt,
select_wf,
squash_wf,
iff_weakening_equal,
length_of_cons_lemma,
length_of_nil_lemma,
lelt_wf,
subtract-is-less,
int_seg_wf,
nil_wf,
minus-zero,
le-add-cancel2,
decidable__equal_int,
int_subtype_base,
zero-le-nat,
list-cases,
null_nil_lemma,
stuck-spread,
base_wf,
product_subtype_list,
null_cons_lemma,
increasing_wf,
subtype_rel_dep_function,
cons_wf,
length_nil,
non_neg_length,
length_wf_nil,
length_cons,
length_wf_nat,
int_seg_subtype-nat,
l-ordered-is-sorted-by,
insert-combine_wf,
int-minus-comparison-inc_wf,
insert-combine-sorted-by,
l-ordered-eq-rels,
iff_wf,
sorted-by-eq-rels,
comparison_wf,
member-insert-combine,
l_exists_iff
\mforall{}[i:\mBbbN{}]. \mforall{}[s:nat-missing-type()]. (remove-nat-missing(i;s) \mmember{} nat-missing-type())
Date html generated:
2015_07_17-AM-08_21_47
Last ObjectModification:
2015_04_02-PM-05_43_27
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