Nuprl Lemma : C_DVALUEpco-ext
C_DVALUEpco() ≡ lbl:Atom × if lbl =a "Null" then Unit
if lbl =a "Int" then ℤ
if lbl =a "Pointer" then C_LVALUE()?
if lbl =a "Array" then lower:ℤ × upper:ℤ × ({lower..upper-} ─→ C_DVALUEpco())
if lbl =a "Struct" then lbls:Atom List × ({a:Atom| (a ∈ lbls)} ─→ C_DVALUEpco())
else Void
fi
Proof
Definitions occuring in Statement :
C_DVALUEpco: C_DVALUEpco(),
C_LVALUE: C_LVALUE(),
l_member: (x ∈ l),
list: T List,
int_seg: {i..j-},
ifthenelse: if b then t else f fi ,
eq_atom: x =a y,
ext-eq: A ≡ B,
unit: Unit,
set: {x:A| B[x]} ,
function: x:A ─→ B[x],
product: x:A × B[x],
union: left + right,
int: ℤ,
token: "$token",
atom: Atom,
void: Void
Lemmas :
corec-ext,
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,
int_seg_wf,
list_wf,
l_member_wf,
subtype_rel_product,
subtype_rel_self,
subtype_rel_dep_function,
set_wf,
subtype_rel_wf,
strong-continuous-depproduct,
continuous-constant,
strong-continuous-function,
continuous-id,
subtype_rel_weakening,
nat_wf
C\_DVALUEpco() \mequiv{} lbl:Atom \mtimes{} if lbl =a "Null" then Unit
if lbl =a "Int" then \mBbbZ{}
if lbl =a "Pointer" then C\_LVALUE()?
if lbl =a "Array"
then lower:\mBbbZ{} \mtimes{} upper:\mBbbZ{} \mtimes{} (\{lower..upper\msupminus{}\} {}\mrightarrow{} C\_DVALUEpco())
if lbl =a "Struct"
then lbls:Atom List \mtimes{} (\{a:Atom| (a \mmember{} lbls)\} {}\mrightarrow{} C\_DVALUEpco())
else Void
fi
Date html generated:
2015_07_17-AM-07_43_58
Last ObjectModification:
2015_01_27-AM-09_47_38
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