Nuprl Lemma : union-nat-missing-pos_wf
∀[s1:nat-missing-type()]. ∀[max:ℕ]. ∀[missing:ℕ List]. (union-nat-missing-pos(s1;max;missing) ∈ nat-missing-type())
Proof
Definitions occuring in Statement :
union-nat-missing-pos: union-nat-missing-pos(s1;max;missing),
nat-missing-type: nat-missing-type(),
list: T List,
nat: ℕ,
uall: ∀[x:A]. B[x],
member: t ∈ T
Lemmas :
primrec_wf,
nat-missing-type_wf,
decidable__le,
false_wf,
not-le-2,
sq_stable__le,
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,
le_wf,
in-missing_wf,
subtype_rel_list,
bool_wf,
eqff_to_assert,
equal_wf,
bool_cases_sqequal,
subtype_base_sq,
bool_subtype_base,
assert-bnot,
add-nat-missing_wf,
int_seg_subtype-nat,
int_seg_wf,
list_wf,
nat_wf
\mforall{}[s1:nat-missing-type()]. \mforall{}[max:\mBbbN{}]. \mforall{}[missing:\mBbbN{} List].
(union-nat-missing-pos(s1;max;missing) \mmember{} nat-missing-type())
Date html generated:
2015_07_17-AM-08_21_34
Last ObjectModification:
2015_04_02-PM-05_43_19
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