Nuprl Lemma : mu_ex_v5_send-token-state
[es:EO']. [m1,m2,init,p1,p2,p:Id]. [e:E].
(<p, make-Msg([token];Unit;
)> 
mu_ex_v5_main(init;m1;m2;p1;p2)(e) 
<ff, ff, ff> mu_ex_v5_State(init)(e))
Proof not projected
Definitions occuring in Statement :
mu_ex_v5_main: mu_ex_v5_main(initial_token;m1;m2;proc1;proc2),
mu_ex_v5_State: mu_ex_v5_State(initial_token),
make-Msg: make-Msg(hdr;typ;val),
Message: Message,
classrel: v X(e),
event-ordering+: EO+(Info),
es-E: E,
Id: Id,
bfalse: ff,
bool: 
,
it: ,
uall: [x:A]. B[x],
implies: P Q,
unit: Unit,
pair: <a, b>,
product: x:A 
B[x],
cons: [car / cdr],
nil: [],
token: "$token"
Definitions :
unit: Unit,
squash: 
T,
member: t T,
true: True,
prop: 
,
mu_ex_v5_State: mu_ex_v5_State(initial_token),
SM4-class-du: SM4-class-du(init;trX1;trX2;trX3;trX4),
Accum-loc-class: Accum-loc-class(f;init;X),
uall: [x:A]. B[x],
top: Top,
all: x:A. B[x],
implies: P Q,
so_lambda: 
x.t[x],
cand: A c
B,
and: P Q,
exists: 
x:A. B[x],
btrue: tt,
band: p 
q,
spreadn: spread3,
isl: isl(x),
ifthenelse: if b then t else f fi ,
mu_ex_v5_onRequest: mu_ex_v5_onRequest(),
disjoint-union-tr: tr1 + tr2,
bfalse: ff,
eq_atom: x =a y,
atom-deq: AtomDeq,
list-deq: list-deq(eq),
name-deq: NameDeq,
name_eq: name_eq(x;y),
name: Name,
false: False,
uiff: uiff(P;Q),
not: 
A,
assert: 
b,
outr: outr(x),
mu_ex_v5_onLeaveCS: mu_ex_v5_onLeaveCS(),
or: P 
Q,
iff: P 
Q,
sq_stable: SqStable(P),
sq_or: a b,
rev_uimplies: rev_uimplies(P;Q),
so_apply: x[s],
uimplies: b supposing a,
guard: {T},
sq_type: SQType(T),
mu_ex_v5_LeaveCS: mu_ex_v5_LeaveCS(),
mu_ex_v5_UseSR: mu_ex_v5_UseSR(),
mu_ex_v5_Token: mu_ex_v5_Token(),
mu_ex_v5_Request: mu_ex_v5_Request(),
subtype: S 
T
Lemmas :
mu_ex_v5_Token-ilf,
sq_stable__classrel,
bool_wf,
mu_ex_v5_State_wf,
bfalse_wf,
classrel_wf,
Message_wf,
Id_wf,
mu_ex_v5_main_wf,
make-Msg_wf,
unit_wf2,
equal-valueall-type,
valueall-type_wf,
it_wf,
es-E_wf,
event-ordering+_inc,
event-ordering+_wf,
rec-combined-loc-class-opt-1-classrel,
simple-loc-comb-2-classrel,
disjoint-union-tr_wf,
mu_ex_v5_onRequest_wf,
mu_ex_v5_onToken_wf,
uall_wf,
all_wf,
equal_wf,
mu_ex_v5_onUseSR_wf,
mu_ex_v5_onLeaveCS_wf,
disjoint-union-class_wf,
mu_ex_v5_Request_wf,
mu_ex_v5_Token_wf,
mu_ex_v5_UseSR_wf,
mu_ex_v5_LeaveCS_wf,
primed-class-opt_wf,
mu_ex_v5_initState_wf,
rec-combined-loc-class-opt-1_wf,
lifting-loc-2_wf,
exists_wf,
es-loc_wf,
disjoint-union-classrel,
bool_subtype_base,
subtype_base_sq,
band_wf,
and_wf,
assert_elim,
not_assert_elim,
assert-name_eq,
atom_subtype_base,
list_subtype_base,
name_wf,
base-noloc-classrel
\mforall{}[es:EO']. \mforall{}[m1,m2,init,p1,p2,p:Id]. \mforall{}[e:E].
(<p, make-Msg([token];Unit;\mcdot{})> \mmember{} mu\_ex\_v5\_main(init;m1;m2;p1;p2)(e)
{}\mRightarrow{} <ff, ff, ff> \mmember{} mu\_ex\_v5\_State(init)(e))
Date html generated:
2012_02_20-PM-07_01_53
Last ObjectModification:
2012_02_02-PM-03_02_22
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