Nuprl Lemma : mFOL-ext
mFOL() ≡ lbl:Atom × if lbl =a "atomic" then name:Atom × (ℤ List)
if lbl =a "connect" then knd:Atom × left:mFOL() × mFOL()
if lbl =a "quant" then isall:𝔹 × var:ℤ × mFOL()
else Void
fi
Proof
Definitions occuring in Statement :
mFOL: mFOL(),
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 :
mFOLco-ext,
eq_atom_wf,
bool_wf,
eqtt_to_assert,
assert_of_eq_atom,
subtype_base_sq,
atom_subtype_base,
list_wf,
eqff_to_assert,
equal_wf,
bool_cases_sqequal,
bool_subtype_base,
assert-bnot,
neg_assert_of_eq_atom,
value-type-has-value,
int-value-type,
has-value_wf-partial,
nat_wf,
set-value-type,
le_wf,
mFOLco_size_wf,
mFOL_wf,
mFOLco_wf,
add-nat,
false_wf,
mFOL_size_wf,
nat_properties
mFOL() \mequiv{} lbl:Atom \mtimes{} if lbl =a "atomic" then name:Atom \mtimes{} (\mBbbZ{} List)
if lbl =a "connect" then knd:Atom \mtimes{} left:mFOL() \mtimes{} mFOL()
if lbl =a "quant" then isall:\mBbbB{} \mtimes{} var:\mBbbZ{} \mtimes{} mFOL()
else Void
fi
Date html generated:
2015_07_17-AM-07_53_24
Last ObjectModification:
2015_01_29-PM-04_40_43
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