Nuprl Lemma : mu_ex_v5_State-leave-cs
es:EO'. m1,m2,p1,p2,init:Id. e:E. b1,b2,b3:
.
(<b1, b2, b3> 
Prior(mu_ex_v5_State(init))?mu_ex_v5_initState(init)(e)
((
b3) 
(
b2))
mu_ex_v5_LeaveCS()(e)
<ff, ff, ff> 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_initState: mu_ex_v5_initState(initial_token),
mu_ex_v5_LeaveCS: mu_ex_v5_LeaveCS(),
Message: Message,
primed-class-opt: Prior(X)?b,
classrel: v X(e),
event-ordering+: EO+(Info),
es-E: E,
Id: Id,
assert: b,
bfalse: ff,
bool: ,
it: ,
all: x:A. B[x],
not: A,
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,
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,
member: t T,
prop: 
,
so_lambda: 
x.t[x],
btrue: tt,
spreadn: spread3,
eq_atom: x =a y,
atom-deq: AtomDeq,
band: p 
q,
list-deq: list-deq(eq),
name-deq: NameDeq,
ifthenelse: if b then t else f fi ,
name_eq: name_eq(x;y),
name: Name,
false: False,
uiff: uiff(P;Q),
true: True,
bfalse: ff,
mu_ex_v5_onLeaveCS: mu_ex_v5_onLeaveCS(),
and: P Q,
exists: 
x:A. B[x],
squash: 
T,
not: A,
assert: b,
rev_uimplies: rev_uimplies(P;Q),
so_apply: x[s],
uimplies: b supposing a,
unit: Unit,
bool: ,
guard: {T},
sq_type: SQType(T),
mu_ex_v5_UseSR: mu_ex_v5_UseSR(),
mu_ex_v5_Token: mu_ex_v5_Token(),
mu_ex_v5_Request: mu_ex_v5_Request(),
mu_ex_v5_LeaveCS: mu_ex_v5_LeaveCS(),
or: P Q,
subtype: S 
T,
it:
Lemmas :
rec-combined-loc-class-opt-1-classrel,
simple-loc-comb-2-classrel,
Message_wf,
unit_wf2,
bool_wf,
disjoint-union-tr_wf,
mu_ex_v5_onRequest_wf,
Id_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,
bfalse_wf,
classrel_wf,
it_wf,
or_wf,
assert_wf,
not_wf,
mu_ex_v5_State_wf,
es-E_wf,
event-ordering+_inc,
event-ordering+_wf,
assert_of_bnot,
eqff_to_assert,
uiff_transitivity,
eqtt_to_assert,
not_assert_elim,
bnot_wf,
exists_wf,
and_wf,
assert-name_eq,
atom_subtype_base,
list_subtype_base,
name_wf,
subtype_base_sq,
ext-eq_weakening,
subtype_rel_weakening,
base-noloc-classrel,
disjoint-union-classrel,
es-loc_wf
\mforall{}es:EO'. \mforall{}m1,m2,p1,p2,init:Id. \mforall{}e:E. \mforall{}b1,b2,b3:\mBbbB{}.
(<b1, b2, b3> \mmember{} Prior(mu\_ex\_v5\_State(init))?mu\_ex\_v5\_initState(init)(e)
{}\mRightarrow{} ((\muparrow{}b3) \mvee{} (\mneg{}\muparrow{}b2))
{}\mRightarrow{} \mcdot{} \mmember{} mu\_ex\_v5\_LeaveCS()(e)
{}\mRightarrow{} <ff, ff, ff> \mmember{} mu\_ex\_v5\_State(init)(e))
Date html generated:
2012_02_20-PM-07_01_05
Last ObjectModification:
2012_02_02-PM-03_02_00
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