Nuprl Lemma : C_TYPE-ext
C_TYPE() ≡ lbl:Atom × if lbl =a "Void" then Unit
if lbl =a "Int" then Unit
if lbl =a "Struct" then (Atom × C_TYPE()) List
if lbl =a "Array" then length:ℕ × C_TYPE()
if lbl =a "Pointer" then C_TYPE()
else Void
fi
Proof
Definitions occuring in Statement :
C_TYPE: C_TYPE(),
list: T List,
nat: ℕ,
ifthenelse: if b then t else f fi ,
eq_atom: x =a y,
ext-eq: A ≡ B,
unit: Unit,
product: x:A × B[x],
token: "$token",
atom: Atom,
void: Void
Lemmas :
C_TYPEco-ext,
eq_atom_wf,
bool_wf,
eqtt_to_assert,
assert_of_eq_atom,
subtype_base_sq,
atom_subtype_base,
unit_wf2,
unit_subtype_base,
it_wf,
eqff_to_assert,
equal_wf,
bool_cases_sqequal,
bool_subtype_base,
assert-bnot,
neg_assert_of_eq_atom,
list-prod-set-type,
C_TYPEco_wf,
has-value_wf-partial,
nat_wf,
set-value-type,
le_wf,
int-value-type,
C_TYPEco_size_wf,
sum-partial-has-value,
length_wf_nat,
select_wf,
sq_stable__le,
value-type-has-value,
int_seg_wf,
length_wf,
C_TYPE_wf,
list_wf,
subtype_rel_list,
subtype_rel_product,
add-nat,
false_wf,
sum-nat,
C_TYPE_size_wf,
nat_properties
C\_TYPE() \mequiv{} lbl:Atom \mtimes{} if lbl =a "Void" then Unit
if lbl =a "Int" then Unit
if lbl =a "Struct" then (Atom \mtimes{} C\_TYPE()) List
if lbl =a "Array" then length:\mBbbN{} \mtimes{} C\_TYPE()
if lbl =a "Pointer" then C\_TYPE()
else Void
fi
Date html generated:
2015_07_17-AM-07_42_07
Last ObjectModification:
2015_01_29-PM-04_40_39
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