Nuprl Lemma : paxos-collect-def_wf
[Info:Type]. [es:EO+(Info)]. [f:
]. [leader: 
Id]. [T:Type]. [Collect:EClass( 
T)]. [Input:EClass(T)].
[VoteState:EClass(AcceptorState)].
(paxos-collect-def(es;f;T;leader;Collect;VoteState;Input) 
)
Proof not projected
Definitions occuring in Statement :
paxos-collect-def: paxos-collect-def(es;f;T;leader;Collect;VoteState;Input),
paxos-acceptor-state: AcceptorState,
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
Id: Id,
nat: ,
uall: [x:A]. B[x],
prop: ,
member: t T,
function: x:A B[x],
product: x:A B[x],
int: ,
universe: Type
Definitions :
uall: [x:A]. B[x],
member: t T,
prop: ,
paxos-collect-def: paxos-collect-def(es;f;T;leader;Collect;VoteState;Input),
and: P 
Q,
length: ||as||,
assert: 
b,
implies: P 
Q,
let: let,
ifthenelse: if b then t else f fi ,
so_lambda: 
x y.t[x; y],
cand: A c B,
so_lambda: x.t[x],
all: x:A. B[x],
subtype: S 
T,
btrue: tt,
true: True,
false: False,
ycomb: Y,
bfalse: ff,
not: 
A,
mapfilter: mapfilter(f;P;L),
top: Top,
nat: ,
so_apply: x[s1;s2],
so_apply: x[s],
es-E-interface: E(X),
bool: 
,
uimplies: b supposing a,
sq_type: SQType(T),
guard: {T},
unit: Unit,
iff: P 
Q,
es-first-at: e is first@ i s.t. e.P[e],
le: A 
B,
it: 
Lemmas :
es-class-def_wf,
nat_wf,
es-first-at_wf,
Id_wf,
es-loc_wf,
length_wf1,
es-E-interface_wf,
filter_type,
eq_int_wf,
paxos-state-reservation_wf,
eclass-val_wf,
paxos-acceptor-state_wf,
es-E_wf,
event-ordering+_inc,
event-ordering+_wf,
subtype_base_sq,
bool_wf,
bool_subtype_base,
nat_properties,
es-interface-predecessors_wf,
assert_wf,
in-eclass_wf,
es-prior-val_wf,
top_wf,
alle-lt_wf,
es-interface-top,
le_wf,
mapfilter_wf,
es-interface-val_wf2,
list-max_wf,
paxos-state-ballot_wf,
iff_weakening_uiff,
uiff_transitivity,
eqtt_to_assert,
assert_of_eq_int,
not_wf,
bnot_wf,
eqff_to_assert,
assert_of_bnot,
not_functionality_wrt_uiff,
paxos-state-value_wf,
eclass_wf,
assert_elim,
length-map
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[f:\mBbbN{}]. \mforall{}[leader:\mBbbN{} {}\mrightarrow{} Id]. \mforall{}[T:Type]. \mforall{}[Collect:EClass(\mBbbN{} \mtimes{} \mBbbZ{} \mtimes{} T)].
\mforall{}[Input:EClass(T)]. \mforall{}[VoteState:EClass(AcceptorState)].
(paxos-collect-def(es;f;T;leader;Collect;VoteState;Input) \mmember{} \mBbbP{})
Date html generated:
2011_10_20-PM-04_32_28
Last ObjectModification:
2011_06_18-PM-02_00_26
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