Nuprl Lemma : bm_collate_next_wf

∀[T,Key:Type]. ∀[l:binary-map(T;Key) List].  (bm_collate_next(l) ∈ binary-map(T;Key) × (binary-map(T;Key) List))


Proof




Definitions occuring in Statement :  bm_collate_next: bm_collate_next(l),  binary-map: binary-map(T;Key),  list: T List,  uall: ∀[x:A]. B[x],  member: t ∈ T,  product: x:A × B[x],  universe: Type
Lemmas :  binary-map_wf,  list-cases,  list_ind_nil_lemma,  bm_E_wf,  assert_wf,  bm_cnt_prop_wf,  nil_wf,  product_subtype_list,  list_ind_cons_lemma,  binary_map_case-wf2,  bm_collate_left_wf,  list_wf
\mforall{}[T,Key:Type].  \mforall{}[l:binary-map(T;Key)  List].
    (bm\_collate\_next(l)  \mmember{}  binary-map(T;Key)  \mtimes{}  (binary-map(T;Key)  List))



Date html generated: 2015_07_17-AM-08_20_29
Last ObjectModification: 2015_01_27-PM-00_36_56

Home Index