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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