Nuprl Lemma : mu_ex_v5_send-token-had-token
[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)
(
a,b:
. <a, tt, b> Prior(mu_ex_v5_State(init))?mu_ex_v5_initState(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),
mu_ex_v5_initState: mu_ex_v5_initState(initial_token),
make-Msg: make-Msg(hdr;typ;val),
Message: Message,
primed-class-opt: Prior(X)?b,
classrel: v X(e),
event-ordering+: EO+(Info),
es-E: E,
Id: Id,
btrue: tt,
bool: ,
it: ,
uall: [x:A]. B[x],
exists: x:A. B[x],
squash: T,
implies: P Q,
unit: Unit,
pair: <a, b>,
product: x:A 
B[x],
cons: [car / cdr],
nil: [],
token: "$token"
Definitions :
unit: Unit,
squash: T,
exists: x:A. B[x],
member: t T,
true: True,
prop: 
,
so_lambda: 
x.t[x],
implies: P Q,
and: P 
Q,
sq_or: a 
b,
or: P Q,
iff: P 
Q,
uall: [x:A]. B[x],
so_apply: x[s],
uimplies: b supposing a,
all: x:A. B[x],
sq_type: SQType(T),
guard: {T},
subtype: S 
T
Lemmas :
mu_ex_v5_Token-ilf,
classrel_wf,
bool_wf,
primed-class-opt_wf,
mu_ex_v5_initState_wf,
mu_ex_v5_State_wf,
btrue_wf,
exists_wf,
assert_elim,
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,
subtype_base_sq,
bool_subtype_base
\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{} (\mdownarrow{}\mexists{}a,b:\mBbbB{}. <a, tt, b> \mmember{} Prior(mu\_ex\_v5\_State(init))?mu\_ex\_v5\_initState(init)(e)))
Date html generated:
2012_02_20-PM-07_01_42
Last ObjectModification:
2012_02_02-PM-03_02_17
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