Nuprl Lemma : sm-replica_wf
[Info,S,R,Op:Type]. [init:S]. [f:S 
Op (S 
R)]. [Req:EClass(
sm-command(Op))].
(sm-replica(init;f;Req) 
EClass(sm-response(R) List))
Proof not projected
Definitions occuring in Statement :
sm-replica: sm-replica(init;f;Req),
sm-response: sm-response(R),
sm-command: sm-command(Op),
eclass: EClass(A[eo; e]),
uall: [x:A]. B[x],
member: t T,
function: x:A B[x],
product: x:A B[x],
list: type List,
int: ,
universe: Type
Definitions :
es-E-interface: E(X),
guard: {T},
implies: P 
Q,
sq_type: SQType(T),
l_member: (x l),
pair: <a, b>,
spread: spread def,
fpf: a:A fp-> B[a],
uimplies: b supposing a,
atom: Atom$n,
Id: Id,
spreadn: spread3,
sm-do-ops: sm-do-ops(s;f;L),
request-buffer: request-buffer(Req),
smr-class: smr-class(init;s,x.F[s; x];X),
bag: bag(T),
bool: 
,
subtype: S 
T,
subtype_rel: A r B,
eq_atom: eq_atom$n(x;y),
atom: Atom,
apply: f a,
top: Top,
es-base-E: es-base-E(es),
token: "$token",
eq_atom: x =a y,
ifthenelse: if b then t else f fi ,
record-select: r.x,
dep-isect: Error :dep-isect,
record+: record+,
sm-command: sm-command(Op),
int: ,
event_ordering: EO,
es-E: E,
event-ordering+: EO+(Info),
lambda: 
x.A[x],
all: x:A. B[x],
axiom: Ax,
sm-replica: sm-replica(init;f;Req),
sm-response: sm-response(R),
list: type List,
so_lambda: 
x y.t[x; y],
eclass: EClass(A[eo; e]),
equal: s = t,
universe: Type,
uall: [x:A]. B[x],
isect: 
x:A. B[x],
member: t T,
function: x:A B[x],
product: x:A B[x],
tactic: Error :tactic
Lemmas :
sm-response_wf,
member_wf,
sm-command_wf,
sm-do-ops_wf,
smr-class_wf,
request-buffer_wf,
event-ordering+_wf,
event-ordering+_inc,
subtype_rel_self,
es-base-E_wf,
es-E_wf,
eclass_wf,
Id_wf
\mforall{}[Info,S,R,Op:Type]. \mforall{}[init:S]. \mforall{}[f:S {}\mrightarrow{} Op {}\mrightarrow{} (S \mtimes{} R)]. \mforall{}[Req:EClass(\mBbbZ{} \mtimes{} sm-command(Op))].
(sm-replica(init;f;Req) \mmember{} EClass(sm-response(R) List))
Date html generated:
2011_10_20-PM-04_10_39
Last ObjectModification:
2011_01_25-PM-04_11_57
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