Nuprl Lemma : binary_mapco-ext
∀[T,Key:Type].
binary_mapco(T;Key) ≡ lbl:Atom × if lbl =a "E" then Unit
if lbl =a "T"
then key:Key × value:T × cnt:ℤ × left:binary_mapco(T;Key) × binary_mapco(T;Key)
else Void
fi
Proof
Definitions occuring in Statement :
binary_mapco: binary_mapco(T;Key),
ifthenelse: if b then t else f fi ,
eq_atom: x =a y,
ext-eq: A ≡ B,
uall: ∀[x:A]. B[x],
unit: Unit,
product: x:A × B[x],
int: ℤ,
token: "$token",
atom: Atom,
void: Void,
universe: Type
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,
subtype_rel_product,
subtype_rel_self,
subtype_rel_wf,
strong-continuous-depproduct,
continuous-constant,
strong-continuous-product,
continuous-id,
subtype_rel_weakening,
nat_wf
\mforall{}[T,Key:Type].
binary\_mapco(T;Key) \mequiv{} lbl:Atom \mtimes{} if lbl =a "E" then Unit
if lbl =a "T"
then key:Key
\mtimes{} value:T
\mtimes{} cnt:\mBbbZ{}
\mtimes{} left:binary\_mapco(T;Key)
\mtimes{} binary\_mapco(T;Key)
else Void
fi
Date html generated:
2015_07_17-AM-08_17_32
Last ObjectModification:
2015_01_27-PM-00_40_29
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