Nuprl Lemma : bm_N_wf

∀[T,Key:Type]. ∀[k:Key]. ∀[v:T]. ∀[m1,m2:binary-map(T;Key)].  (bm_N(k;v;m1;m2) ∈ binary-map(T;Key))


Proof




Definitions occuring in Statement :  bm_N: bm_N(k;v;m1;m2),  binary-map: binary-map(T;Key),  uall: ∀[x:A]. B[x],  member: t ∈ T,  universe: Type
Lemmas :  binary_map_case_wf,  binary_map_wf,  bm_T_wf,  bm_E_wf,  binary_map-ext,  eq_atom_wf,  bool_wf,  eqtt_to_assert,  assert_of_eq_atom,  subtype_base_sq,  atom_subtype_base,  unit_wf2,  unit_subtype_base,  it_wf,  bm_cnt_prop_E,  binary_map_case_E,  eqff_to_assert,  equal_wf,  bool_cases_sqequal,  bool_subtype_base,  assert-bnot,  neg_assert_of_eq_atom,  binary_map_case_T,  bm_cnt_prop_T,  bm_numItems_E,  bm_numItems_T,  zero-add,  add-zero,  assert_wf,  bm_cnt_prop_wf,  binary-map_wf
\mforall{}[T,Key:Type].  \mforall{}[k:Key].  \mforall{}[v:T].  \mforall{}[m1,m2:binary-map(T;Key)].    (bm\_N(k;v;m1;m2)  \mmember{}  binary-map(T;Key))



Date html generated: 2015_07_17-AM-08_18_54
Last ObjectModification: 2015_01_27-PM-00_37_27

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