Nuprl Lemma : OARcast_on_order_update_wf
∀[M:ValueAllType]. (OARcast_on_order_update(M) ∈ Id ─→ (Id × ℤ × M) ─→ (Id List) ─→ (Id List))
Proof
Definitions occuring in Statement : 
OARcast_on_order_update: OARcast_on_order_update(M)
, 
Id: Id
, 
list: T List
, 
vatype: ValueAllType
, 
uall: ∀[x:A]. B[x]
, 
member: t ∈ T
, 
function: x:A ─→ B[x]
, 
product: x:A × B[x]
, 
int: ℤ
Lemmas : 
deq-member_wf, 
Id_wf, 
id-deq_wf, 
bool_wf, 
eqff_to_assert, 
equal_wf, 
bool_cases_sqequal, 
subtype_base_sq, 
bool_subtype_base, 
assert-bnot, 
assert-deq-member, 
l_member_wf, 
cons_wf, 
list_wf, 
set_wf, 
valueall-type_wf
Latex:
\mforall{}[M:ValueAllType].  (OARcast\_on\_order\_update(M)  \mmember{}  Id  {}\mrightarrow{}  (Id  \mtimes{}  \mBbbZ{}  \mtimes{}  M)  {}\mrightarrow{}  (Id  List)  {}\mrightarrow{}  (Id  List))
Date html generated:
2015_07_23-PM-00_31_59
Last ObjectModification:
2015_01_29-AM-00_46_07
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