Nuprl Lemma : C_TYPEco-ext
C_TYPEco() ≡ lbl:Atom × if lbl =a "Void" then Unit
if lbl =a "Int" then Unit
if lbl =a "Struct" then (Atom × C_TYPEco()) List
if lbl =a "Array" then length:ℕ × C_TYPEco()
if lbl =a "Pointer" then C_TYPEco()
else Void
fi
Proof
Definitions occuring in Statement :
C_TYPEco: C_TYPEco(),
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 :
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,
list_wf,
nat_wf,
subtype_rel_product,
subtype_rel_self,
subtype_rel_list,
subtype_rel_wf,
strong-continuous-depproduct,
continuous-constant,
strong-continuous-list,
strong-continuous-product,
continuous-id,
subtype_rel_weakening
C\_TYPEco() \mequiv{} lbl:Atom \mtimes{} if lbl =a "Void" then Unit
if lbl =a "Int" then Unit
if lbl =a "Struct" then (Atom \mtimes{} C\_TYPEco()) List
if lbl =a "Array" then length:\mBbbN{} \mtimes{} C\_TYPEco()
if lbl =a "Pointer" then C\_TYPEco()
else Void
fi
Date html generated:
2015_07_17-AM-07_42_01
Last ObjectModification:
2015_01_27-AM-09_47_50
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