Nuprl Lemma : pv8_p2_on_decision_wf
[Cid,Op,RepState,Result:ValueAllType]. [apply_op:Op 
RepState (RepState 
Result)]. [eq_Cid:EqDecider(Cid)].
[ldrs:bag(Id)].
(pv8_p2_on_decision(Cid;Op;RepState;Result;apply_op;eq_Cid;ldrs) 
Id Cid Op
RepState
( Id Cid Op) List
(( Id Cid Op) List)
(RepState
( Id Cid Op) List
(( Id Cid Op) List)
bag(Id Message)))
Proof not projected
Definitions occuring in Statement :
pv8_p2_on_decision: pv8_p2_on_decision(Cid;Op;RepState;Result;apply_op;eq_Cid;ldrs),
Message: Message,
Id: Id,
uall: [x:A]. B[x],
member: t T,
function: x:A B[x],
product: x:A B[x],
list: type List,
int: ,
deq: EqDecider(T),
bag: bag(T),
vatype: ValueAllType
Definitions :
so_lambda: 
x y.t[x; y],
so_lambda: x.t[x],
pv8_p2_iterate_tr: pv8_p2_iterate_tr(Cid;Op;RepState),
let: let,
spreadn: spread4,
pv8_p2_on_decision: pv8_p2_on_decision(Cid;Op;RepState;Result;apply_op;eq_Cid;ldrs),
member: t T,
vatype: ValueAllType,
uall: [x:A]. B[x],
prop: 
,
so_apply: x[s],
so_apply: x[s1;s2]
Lemmas :
deq_wf,
bag-append_wf,
pv8_p2_inner_tr_wf,
empty-bag_wf,
assert_wf,
pi2_wf,
int-deq_wf,
eqof_wf,
pv8_p2_same_proposal_wf,
valueall-type_wf,
pv8_p2_add_if_new_wf,
mapfilter_wf,
Message_wf,
bag_wf,
Id_wf,
list_accum_wf
\mforall{}[Cid,Op,RepState,Result:ValueAllType]. \mforall{}[apply$_{op}$:Op {}\mrightarrow{} RepState {}\mrightarrow{} (RepSta\000Cte \mtimes{} Result)].
\mforall{}[eq$_{Cid}$:EqDecider(Cid)]. \mforall{}[ldrs:bag(Id)].
(pv8\_p2\_on\_decision(Cid;Op;RepState;Result;apply$_{op}$;eq$_{Cid\mbackslash{}f\000Cf7d$;ldrs) \mmember{} \mBbbZ{} \mtimes{} Id \mtimes{} Cid \mtimes{} Op
{}\mrightarrow{} RepState
\mtimes{} \mBbbZ{}
\mtimes{} (\mBbbZ{} \mtimes{} Id \mtimes{} Cid \mtimes{} Op) List
\mtimes{} ((\mBbbZ{} \mtimes{} Id \mtimes{} Cid \mtimes{} Op) List)
{}\mrightarrow{} (RepState
\mtimes{} \mBbbZ{}
\mtimes{} (\mBbbZ{} \mtimes{} Id \mtimes{} Cid \mtimes{} Op) List
\mtimes{} ((\mBbbZ{} \mtimes{} Id \mtimes{} Cid \mtimes{} Op) List)
\mtimes{} bag(Id \mtimes{} Message)))
Date html generated:
2012_02_20-PM-07_40_52
Last ObjectModification:
2012_02_06-PM-03_11_51
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