Nuprl Lemma : pi_termco-ext
pi_termco() ≡ lbl:Atom × if lbl =a "zero" then Unit
if lbl =a "comm" then pre:pi_prefix() × pi_termco()
if lbl =a "option" then left:pi_termco() × pi_termco()
if lbl =a "par" then left:pi_termco() × pi_termco()
if lbl =a "rep" then pi_termco()
if lbl =a "new" then name:Name × pi_termco()
else Void
fi
Proof
Definitions occuring in Statement :
pi_termco: pi_termco(),
pi_prefix: pi_prefix(),
name: Name,
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,
pi_prefix_wf,
name_wf,
subtype_rel_product,
subtype_rel_self,
subtype_rel_wf,
strong-continuous-depproduct,
continuous-constant,
strong-continuous-product,
continuous-id,
subtype_rel_weakening,
nat_wf
Latex:
pi\_termco() \mequiv{} lbl:Atom \mtimes{} if lbl =a "zero" then Unit
if lbl =a "comm" then pre:pi\_prefix() \mtimes{} pi\_termco()
if lbl =a "option" then left:pi\_termco() \mtimes{} pi\_termco()
if lbl =a "par" then left:pi\_termco() \mtimes{} pi\_termco()
if lbl =a "rep" then pi\_termco()
if lbl =a "new" then name:Name \mtimes{} pi\_termco()
else Void
fi
Date html generated:
2015_07_23-AM-11_31_52
Last ObjectModification:
2015_01_29-AM-00_56_01
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