Nuprl Lemma : bs_l_tree_member_wf

∀[L,T:Type]. ∀[t:l_tree(L;T)]. ∀[x:T]. ∀[f:T ─→ ℤ].  (bs_l_tree_member(x;t;f) ∈ 𝔹)


Proof




Definitions occuring in Statement :  bs_l_tree_member: bs_l_tree_member(x;t;f),  l_tree: l_tree(L;T),  bool: 𝔹,  uall: ∀[x:A]. B[x],  member: t ∈ T,  function: x:A ─→ B[x],  int: ℤ,  universe: Type
Lemmas :  l_tree_ind_wf_simple,  top_wf,  bool_wf,  l_tree_covariant,  btrue_wf,  bor_wf,  eq_int_wf,  lt_int_wf,  l_tree_wf
\mforall{}[L,T:Type].  \mforall{}[t:l\_tree(L;T)].  \mforall{}[x:T].  \mforall{}[f:T  {}\mrightarrow{}  \mBbbZ{}].    (bs\_l\_tree\_member(x;t;f)  \mmember{}  \mBbbB{})



Date html generated: 2015_07_17-AM-07_41_55
Last ObjectModification: 2015_01_27-AM-09_30_57

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