Nuprl Lemma : l_tree_node_wf
∀[L,T:Type]. ∀[val:T]. ∀[left_subtree,right_subtree:l_tree(L;T)].
(l_tree_node(val;left_subtree;right_subtree) ∈ l_tree(L;T))
Proof
Definitions occuring in Statement :
l_tree_node: l_tree_node(val;left_subtree;right_subtree),
l_tree: l_tree(L;T),
uall: ∀[x:A]. B[x],
member: t ∈ T,
universe: Type
Lemmas :
l_treeco-ext,
l_treeco_wf,
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,
add_nat_wf,
false_wf,
le_wf,
l_tree_size_wf,
nat_wf,
value-type-has-value,
set-value-type,
int-value-type,
has-value_wf-partial,
l_treeco_size_wf,
l_tree_wf
\mforall{}[L,T:Type]. \mforall{}[val:T]. \mforall{}[left$_{subtree}$,right$_{subtree}$:\000Cl\_tree(L;T)].
(l\_tree\_node(val;left$_{subtree}$;right$_{subtree}$) \mmember{} l\_t\000Cree(L;T))
Date html generated:
2015_07_17-AM-07_41_28
Last ObjectModification:
2015_01_27-AM-09_31_10
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