Nuprl Lemma : l_tree_node-left_subtree_wf
∀[L,T:Type]. ∀[v:l_tree(L;T)]. l_tree_node-left_subtree(v) ∈ l_tree(L;T) supposing ↑l_tree_node?(v)
Proof
Definitions occuring in Statement :
l_tree_node-left_subtree: l_tree_node-left_subtree(v),
l_tree_node?: l_tree_node?(v),
l_tree: l_tree(L;T),
assert: ↑b,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
member: t ∈ T,
universe: Type
Lemmas :
l_tree-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,
assert_wf,
l_tree_node?_wf,
l_tree_wf
\mforall{}[L,T:Type]. \mforall{}[v:l\_tree(L;T)]. l\_tree\_node-left\_subtree(v) \mmember{} l\_tree(L;T) supposing \muparrow{}l\_tree\_node?(v)
Date html generated:
2015_07_17-AM-07_41_36
Last ObjectModification:
2015_01_27-AM-09_31_04
Home
Index