Nuprl Lemma : RankEx1co-ext
∀[T:Type]
RankEx1co(T) ≡ lbl:Atom × if lbl =a "Leaf" then T
if lbl =a "Prod" then RankEx1co(T) × RankEx1co(T)
if lbl =a "ProdL" then T × RankEx1co(T)
if lbl =a "ProdR" then RankEx1co(T) × T
if lbl =a "List" then RankEx1co(T) List
else Void
fi
Proof
Definitions occuring in Statement :
RankEx1co: RankEx1co(T),
list: T List,
ifthenelse: if b then t else f fi ,
eq_atom: x =a y,
ext-eq: A ≡ B,
uall: ∀[x:A]. B[x],
product: x:A × B[x],
token: "$token",
atom: Atom,
void: Void,
universe: Type
Lemmas :
corec-ext,
eq_atom_wf,
bool_wf,
eqff_to_assert,
equal_wf,
bool_cases_sqequal,
subtype_base_sq,
bool_subtype_base,
assert-bnot,
neg_assert_of_eq_atom,
eqtt_to_assert,
assert_of_eq_atom,
list_wf,
subtype_rel_product,
subtype_rel_list,
subtype_rel_wf,
strong-continuous-depproduct,
continuous-constant,
strong-continuous-product,
continuous-id,
strong-continuous-list,
subtype_rel_weakening,
nat_wf
\mforall{}[T:Type]
RankEx1co(T) \mequiv{} lbl:Atom \mtimes{} if lbl =a "Leaf" then T
if lbl =a "Prod" then RankEx1co(T) \mtimes{} RankEx1co(T)
if lbl =a "ProdL" then T \mtimes{} RankEx1co(T)
if lbl =a "ProdR" then RankEx1co(T) \mtimes{} T
if lbl =a "List" then RankEx1co(T) List
else Void
fi
Date html generated:
2015_07_17-AM-07_47_27
Last ObjectModification:
2015_01_27-AM-09_39_57
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