Nuprl Lemma : paxos_R2_wf
[es:EO']. [RepState:Type]. [ReplicaState:EClass'(replica-state(RepState))].
(paxos_R2{i:l}(RepState; es; ReplicaState) 
{i''})
Proof not projected
Definitions occuring in Statement :
paxos_R2: paxos_R2{i:l}(RepState; es; ReplicaState),
replica-state: replica-state(RepState),
Message: Message,
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
uall: [x:A]. B[x],
prop: ,
member: t T,
universe: Type
Definitions :
cand: A c
B,
void: Void,
top: Top,
listp: A List
,
combination: Combination(n;T),
atom: Atom,
atom: Atom$n,
PaxosOp: PaxosOp(),
Cid: Cid(),
Id: Id,
Command: Command(),
Proposal: Proposal(),
guard: {T},
sq_type: SQType(T),
pair: <a, b>,
intensional-universe: IType,
slot_num: slot_num(rstate),
natural_number: $n,
strong-subtype: strong-subtype(A;B),
ge: i 
j ,
uiff: uiff(P;Q),
fpf: a:A fp-> B[a],
es-E-interface: E(X),
list: type List,
false: False,
not: 
A,
map: map(f;as),
pi1: fst(t),
decisions: decisions(rstate),
lambda: 
x.A[x],
le: A 
B,
less_than: a < b,
product: x:A 
B[x],
and: P Q,
int: 
,
l_member: (x l),
implies: P 
Q,
apply: f a,
let: let,
so_lambda: 
x.t[x],
all-class-values+: all-class-values+{i:l}(es;T;A;t.P[t]),
bool: 
,
event_ordering: EO,
es-E: E,
bag: bag(T),
subtype: S 
T,
uimplies: b supposing a,
subtype_rel: A r B,
label: ...$L... t,
replica-state: replica-state(RepState),
function: x:A 
B[x],
all: x:A. B[x],
dep-isect: Error :dep-isect,
eq_atom: x =a y,
eq_atom: eq_atom$n(x;y),
record+: record+,
so_lambda: x y.t[x; y],
Message: Message,
prop: ,
paxos_R2: paxos_R2{i:l}(RepState; es; ReplicaState),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
equal: s = t,
axiom: Ax,
member: t T,
uall: [x:A]. B[x],
isect: 
x:A. B[x],
universe: Type,
tactic: Error :tactic
Lemmas :
all-class-values+_wf,
replica-state_wf,
le_wf,
l_member_wf,
subtype_rel_wf,
member_wf,
Message_wf,
event-ordering+_wf,
eclass_wf2,
eclass_wf3,
eclass_wf,
bag_wf,
event-ordering+_inc,
es-E_wf,
intensional-universe_wf,
slot_num_wf,
decisions_wf,
Proposal_wf,
map_wf,
pi1_wf_top
\mforall{}[es:EO']. \mforall{}[RepState:Type]. \mforall{}[ReplicaState:EClass'(replica-state(RepState))].
(paxos\_R2\{i:l\}(RepState; es; ReplicaState) \mmember{} \mBbbP{}\{i''\})
Date html generated:
2011_10_20-PM-11_54_40
Last ObjectModification:
2011_05_12-PM-01_44_16
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