Nuprl Lemma : mu_ex_v5_initial-send
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)
(e':E. (e' 
loc e (
mu_ex_v5_Token()(e'))))
(loc(e) = init))
Proof not projected
Definitions occuring in Statement :
mu_ex_v5_main: mu_ex_v5_main(initial_token;m1;m2;proc1;proc2),
mu_ex_v5_Token: mu_ex_v5_Token(),
make-Msg: make-Msg(hdr;typ;val),
Message: Message,
classrel: v X(e),
event-ordering+: EO+(Info),
es-le: e loc e' ,
es-loc: loc(e),
es-E: E,
Id: Id,
it: ,
all: x:A. B[x],
not: A,
implies: P Q,
unit: Unit,
pair: <a, b>,
product: x:A 
B[x],
cons: [car / cdr],
nil: [],
token: "$token",
equal: s = t
Definitions :
so_lambda: 
x.t[x],
prop: 
,
false: False,
le: A B,
ge: i 
j ,
nat: 
,
true: True,
member: t T,
squash: 
T,
not: A,
unit: Unit,
implies: P Q,
all: x:A. B[x],
top: Top,
Accum-loc-class: Accum-loc-class(f;init;X),
SM4-class-du: SM4-class-du(init;trX1;trX2;trX3;trX4),
uall: [x:A]. B[x],
mu_ex_v5_State: mu_ex_v5_State(initial_token),
and: P 
Q,
assert: 
b,
subtype: S 
T,
band: p 
q,
ifthenelse: if b then t else f fi ,
btrue: tt,
so_apply: x[s],
uiff: uiff(P;Q),
or: P 
Q,
uimplies: b supposing a,
strongwellfounded: SWellFounded(R[x; y]),
exists: 
x:A. B[x],
es-locl: (e <loc e'),
es-p-local-pred: es-p-local-pred(es;P),
guard: {T},
sq_type: SQType(T),
pi1: fst(t),
pi2: snd(t),
spreadn: spread3,
isl: isl(x),
mu_ex_v5_onRequest: mu_ex_v5_onRequest(),
disjoint-union-tr: tr1 + tr2,
bfalse: ff,
outr: outr(x),
mu_ex_v5_onUseSR: mu_ex_v5_onUseSR(),
mu_ex_v5_onLeaveCS: mu_ex_v5_onLeaveCS(),
deq: EqDecider(T),
mu_ex_v5_initState: mu_ex_v5_initState(initial_token),
it: ,
eq_id: a = b
Lemmas :
event-ordering+_wf,
valueall-type_wf,
equal-valueall-type,
make-Msg_wf,
mu_ex_v5_main_wf,
Id_wf,
it_wf,
equal_wf,
mu_ex_v5_Token_wf,
unit_wf2,
not_wf,
es-le_wf,
es-E_wf,
all_wf,
btrue_wf,
mu_ex_v5_State_wf,
mu_ex_v5_initState_wf,
primed-class-opt_wf,
bool_wf,
classrel_wf,
primed-class-opt-classrel,
es-causl_wf,
le_wf,
nat_wf,
less_than_wf,
ge_wf,
nat_properties,
Message_wf,
event-ordering+_inc,
es-causl-swellfnd,
mu_ex_v5_send-token-had-token,
lifting-loc-2_wf,
rec-combined-loc-class-opt-1_wf,
mu_ex_v5_LeaveCS_wf,
mu_ex_v5_UseSR_wf,
mu_ex_v5_Request_wf,
disjoint-union-class_wf,
mu_ex_v5_onLeaveCS_wf,
mu_ex_v5_onUseSR_wf,
uall_wf,
mu_ex_v5_onToken_wf,
mu_ex_v5_onRequest_wf,
disjoint-union-tr_wf,
simple-loc-comb-2-classrel,
rec-combined-loc-class-opt-1-classrel,
es-le_weakening,
es-locl_transitivity1,
band_wf,
and_wf,
assert_elim,
assert_of_band,
bool_subtype_base,
subtype_base_sq,
pi1_wf_top,
pi2_wf,
disjoint-union-classrel,
assert_of_bnot,
eqff_to_assert,
uiff_transitivity,
eqtt_to_assert,
bool_cases,
bnot_wf,
assert_wf,
btrue_neq_bfalse,
assert-eq-id,
es-loc_wf,
deq_wf,
id-deq_wf,
bfalse_wf,
bag-member-single
\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{} (\mforall{}e':E. (e' \mleq{}loc e {}\mRightarrow{} (\mneg{}\mcdot{} \mmember{} mu\_ex\_v5\_Token()(e'))))
{}\mRightarrow{} (loc(e) = init))
Date html generated:
2012_02_20-PM-07_03_26
Last ObjectModification:
2012_02_02-PM-03_02_59
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