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
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