Nuprl Lemma : l_tree-ext
∀[L,T:Type].
l_tree(L;T) ≡ lbl:Atom × if lbl =a "leaf" then L
if lbl =a "node" then val:T × left_subtree:l_tree(L;T) × l_tree(L;T)
else Void
fi
Proof
Definitions occuring in Statement :
l_tree: l_tree(L;T),
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: "$token",
atom: Atom,
void: Void,
universe: Type
Lemmas :
l_treeco-ext,
eq_atom_wf,
bool_wf,
eqtt_to_assert,
assert_of_eq_atom,
subtype_base_sq,
atom_subtype_base,
eqff_to_assert,
equal_wf,
bool_cases_sqequal,
bool_subtype_base,
assert-bnot,
neg_assert_of_eq_atom,
value-type-has-value,
int-value-type,
has-value_wf-partial,
nat_wf,
set-value-type,
le_wf,
l_treeco_size_wf,
l_tree_wf,
l_treeco_wf,
add-nat,
false_wf,
l_tree_size_wf,
nat_properties
\mforall{}[L,T:Type].
l\_tree(L;T) \mequiv{} lbl:Atom \mtimes{} if lbl =a "leaf" then L
if lbl =a "node" then val:T \mtimes{} left$_{subtree}$:l\_tree\000C(L;T) \mtimes{} l\_tree(L;T)
else Void
fi
Date html generated:
2015_07_17-AM-07_41_24
Last ObjectModification:
2015_01_29-PM-04_39_09
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