Nuprl Lemma : DVp_Array_wf
∀[lower,upper:ℤ]. ∀[arr:{lower..upper-} ─→ C_DVALUEp()]. (DVp_Array(lower;upper;arr) ∈ C_DVALUEp())
Proof
Definitions occuring in Statement :
DVp_Array: DVp_Array(lower;upper;arr),
C_DVALUEp: C_DVALUEp(),
int_seg: {i..j-},
uall: ∀[x:A]. B[x],
member: t ∈ T,
function: x:A ─→ B[x],
int: ℤ
Lemmas :
C_DVALUEpco-ext,
subtype_rel_dep_function,
C_DVALUEp_wf,
C_DVALUEpco_wf,
int_seg_wf,
eq_atom_wf,
bool_wf,
eqtt_to_assert,
assert_of_eq_atom,
unit_wf2,
eqff_to_assert,
equal_wf,
bool_cases_sqequal,
subtype_base_sq,
bool_subtype_base,
assert-bnot,
neg_assert_of_eq_atom,
C_LVALUE_wf,
list_wf,
l_member_wf,
add_nat_wf,
false_wf,
le_wf,
sum-nat,
le_int_wf,
assert_of_le_int,
subtract_wf,
zero-le-nat,
bool_cases,
C_DVALUEp_size_wf,
lelt_wf,
iff_transitivity,
assert_wf,
bnot_wf,
not_wf,
iff_weakening_uiff,
assert_of_bnot,
less_than_transitivity1,
less_than_irreflexivity,
nat_wf,
value-type-has-value,
set-value-type,
int-value-type,
has-value_wf-partial,
C_DVALUEpco_size_wf
\mforall{}[lower,upper:\mBbbZ{}]. \mforall{}[arr:\{lower..upper\msupminus{}\} {}\mrightarrow{} C\_DVALUEp()]. (DVp\_Array(lower;upper;arr) \mmember{} C\_DVALUEp())
Date html generated:
2015_07_17-AM-07_44_17
Last ObjectModification:
2015_01_27-AM-09_46_03
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