Nuprl Lemma : mu_ex_v5_State-exists
es:EO'. init:Id. e:E.
((
mu_ex_v5_Request()(e) 
mu_ex_v5_Token()(e) mu_ex_v5_UseSR()(e) mu_ex_v5_LeaveCS()(e))
(
a,b,c:
. <a, b, c> mu_ex_v5_State(init)(e)))
Proof not projected
Definitions occuring in Statement :
mu_ex_v5_State: mu_ex_v5_State(initial_token),
mu_ex_v5_UseSR: mu_ex_v5_UseSR(),
mu_ex_v5_LeaveCS: mu_ex_v5_LeaveCS(),
mu_ex_v5_Token: mu_ex_v5_Token(),
mu_ex_v5_Request: mu_ex_v5_Request(),
Message: Message,
classrel: v X(e),
event-ordering+: EO+(Info),
es-E: E,
Id: Id,
bool: ,
it: ,
all: x:A. B[x],
exists: x:A. B[x],
squash: T,
implies: P Q,
or: P Q,
unit: Unit,
pair: <a, b>,
product: x:A 
B[x]
Definitions :
all: x:A. B[x],
implies: P Q,
or: P Q,
squash: T,
uall: [x:A]. B[x],
member: t T,
prop: 
,
so_lambda: 
x.t[x],
true: True,
exists: x:A. B[x],
mu_ex_v5_initState: mu_ex_v5_initState(initial_token),
and: P 
Q,
not: 
A,
uiff: uiff(P;Q),
false: False,
name: Name,
assert: 
b,
name_eq: name_eq(x;y),
ifthenelse: if b then t else f fi ,
name-deq: NameDeq,
list-deq: list-deq(eq),
band: p 
q,
atom-deq: AtomDeq,
eq_atom: x =a y,
bfalse: ff,
mu_ex_v5_State: mu_ex_v5_State(initial_token),
SM4-class-du: SM4-class-du(init;trX1;trX2;trX3;trX4),
so_apply: x[s],
deq: EqDecider(T),
rev_uimplies: rev_uimplies(P;Q),
uimplies: b supposing a,
mu_ex_v5_Token: mu_ex_v5_Token(),
mu_ex_v5_Request: mu_ex_v5_Request(),
sq_type: SQType(T),
guard: {T},
mu_ex_v5_UseSR: mu_ex_v5_UseSR(),
mu_ex_v5_LeaveCS: mu_ex_v5_LeaveCS(),
subtype: S 
T
Lemmas :
Accum-loc-class-exists,
bool_wf,
unit_wf2,
disjoint-union-tr_wf,
mu_ex_v5_onRequest_wf,
Id_wf,
mu_ex_v5_onToken_wf,
uall_wf,
all_wf,
mu_ex_v5_onUseSR_wf,
mu_ex_v5_onLeaveCS_wf,
mu_ex_v5_initState_wf,
disjoint-union-class_wf,
or_wf,
classrel_wf,
Message_wf,
mu_ex_v5_Request_wf,
it_wf,
mu_ex_v5_Token_wf,
mu_ex_v5_UseSR_wf,
mu_ex_v5_LeaveCS_wf,
es-E_wf,
event-ordering+_inc,
event-ordering+_wf,
bfalse_wf,
id-deq_wf,
deq_wf,
es-loc_wf,
bag-member-single,
bag-member_wf,
single-bag_wf,
disjoint-union-classrel,
base-noloc-classrel,
subtype_base_sq,
name_wf,
list_subtype_base,
atom_subtype_base,
assert-name_eq,
Accum-loc-class_wf,
exists_wf
\mforall{}es:EO'. \mforall{}init:Id. \mforall{}e:E.
((\mcdot{} \mmember{} mu\_ex\_v5\_Request()(e)
\mvee{} \mcdot{} \mmember{} mu\_ex\_v5\_Token()(e)
\mvee{} \mcdot{} \mmember{} mu\_ex\_v5\_UseSR()(e)
\mvee{} \mcdot{} \mmember{} mu\_ex\_v5\_LeaveCS()(e))
{}\mRightarrow{} (\mdownarrow{}\mexists{}a,b,c:\mBbbB{}. <a, b, c> \mmember{} mu\_ex\_v5\_State(init)(e)))
Date html generated:
2012_02_20-PM-06_59_55
Last ObjectModification:
2012_02_02-PM-03_01_35
Home
Index