Nuprl Lemma : mFOLco-ext
mFOLco() ≡ lbl:Atom × if lbl =a "atomic" then name:Atom × (ℤ List)
if lbl =a "connect" then knd:Atom × left:mFOLco() × mFOLco()
if lbl =a "quant" then isall:𝔹 × var:ℤ × mFOLco()
else Void
fi
Proof
Definitions occuring in Statement :
mFOLco: mFOLco(),
list: T List,
ifthenelse: if b then t else f fi ,
eq_atom: x =a y,
bool: 𝔹,
ext-eq: A ≡ B,
product: x:A × B[x],
int: ℤ,
token: "$token",
atom: Atom,
void: Void
Lemmas :
corec-ext,
eq_atom_wf,
bool_wf,
eqtt_to_assert,
assert_of_eq_atom,
list_wf,
eqff_to_assert,
equal_wf,
bool_cases_sqequal,
subtype_base_sq,
bool_subtype_base,
assert-bnot,
neg_assert_of_eq_atom,
subtype_rel_product,
subtype_rel_self,
subtype_rel_wf,
strong-continuous-depproduct,
continuous-constant,
strong-continuous-product,
continuous-id,
subtype_rel_weakening,
nat_wf
mFOLco() \mequiv{} lbl:Atom \mtimes{} if lbl =a "atomic" then name:Atom \mtimes{} (\mBbbZ{} List)
if lbl =a "connect" then knd:Atom \mtimes{} left:mFOLco() \mtimes{} mFOLco()
if lbl =a "quant" then isall:\mBbbB{} \mtimes{} var:\mBbbZ{} \mtimes{} mFOLco()
else Void
fi
Date html generated:
2015_07_17-AM-07_53_20
Last ObjectModification:
2015_01_27-AM-10_07_28
Home
Index