Nuprl Lemma : pv8_p1_CommanderOutput_nlp
Cid,Op:ValueAllType. 
accpts,reps:bag(Id). 
x0:
 
 Id? 
 
 
 Id 
 Cid 
 Op.
  NormalLProgrammable'(Id 
 Message;pv8_p1_CommanderOutput(Cid;Op;accpts;reps) x0)
Proof not projected
Definitions occuring in Statement : 
pv8_p1_CommanderOutput: pv8_p1_CommanderOutput(Cid;Op;accpts;reps), 
Message: Message, 
normal-locally-programmable: NormalLProgrammable(A;X), 
Id: Id, 
all:
x:A. B[x], 
unit: Unit, 
apply: f a, 
product: x:A 
 B[x], 
union: left + right, 
int:
, 
bag: bag(T), 
vatype: ValueAllType
Definitions : 
btrue: tt, 
bnot: 
b, 
le_int: i 
z j, 
bag-map: bag-map(f;bs), 
bfalse: ff, 
map: map(f;as), 
ycomb: Y, 
bag-combine:
x
bs.f[x], 
eq_int: (i =
 j), 
reduce: reduce(f;k;as), 
concat: concat(ll), 
bag-union: bag-union(bbs), 
concat-lifting-list: concat-lifting-list(n;bags), 
concat-lifting: concat-lifting(n;f;bags), 
concat-lifting-loc: concat-lifting-loc(n;bags;loc;f), 
concat-lifting2-loc: concat-lifting2-loc(f;abag;bbag;loc), 
select: l[i], 
lifting-gen-list-rev: lifting-gen-list-rev(n;bags), 
prop:
, 
top: Top, 
true: True, 
and: P 
 Q, 
squash:
T, 
or: P 
 Q, 
so_lambda: 
x.t[x], 
concat-lifting-loc-2: f@Loc, 
empty-bag: {}, 
lt_int: i <z j, 
ifthenelse: if b then t else f fi , 
let: let, 
member: t 
 T, 
pv8_p1_CommanderOutput: pv8_p1_CommanderOutput(Cid;Op;accpts;reps), 
vatype: ValueAllType, 
all:
x:A. B[x], 
uimplies: b supposing a, 
nat:
, 
so_apply: x[s], 
implies: P 
 Q, 
uall:
[x:A]. B[x]
Lemmas : 
vatype_wf, 
pv8_p1_CommanderState_nlp, 
pv8_p1_p2b'base_nlp, 
all_wf, 
squash_wf, 
subtype_top, 
top_wf, 
subtype_rel_bag, 
concat-lifting-loc-2-strict, 
simple-loc-comb-2-nlp, 
pv8_p1_CommanderState_wf, 
pv8_p1_p2b'base_wf, 
pv8_p1_preempted'send_wf, 
single-bag_wf, 
empty-bag_wf, 
pv8_p1_decision'broadcast_wf, 
pv8_p1_threshold_wf, 
nat_wf, 
bag-remove_wf, 
bag-size_wf, 
lt_int_wf, 
unit-deq_wf, 
id-deq_wf, 
int-deq_wf, 
product-deq_wf, 
union-deq_wf, 
eqof_wf, 
ifthenelse_wf, 
concat-lifting-loc-2_wf, 
bag_wf, 
unit_wf2, 
simple-loc-comb-2_wf, 
valueall-type_wf, 
Message-valueall-type, 
Id-valueall-type, 
product-valueall-type, 
Message_wf, 
Id_wf, 
once-class-nlp
\mforall{}Cid,Op:ValueAllType.  \mforall{}accpts,reps:bag(Id).  \mforall{}x0:\mBbbZ{}  \mtimes{}  Id?  \mtimes{}  \mBbbZ{}  \mtimes{}  Id  \mtimes{}  Cid  \mtimes{}  Op.
    NormalLProgrammable'(Id  \mtimes{}  Message;pv8\_p1\_CommanderOutput(Cid;Op;accpts;reps)  x0)
Date html generated:
2012_02_20-PM-07_27_48
Last ObjectModification:
2012_02_06-PM-01_56_13
Home
Index