Nuprl Lemma : mu_ex_v5_token-implies-state
[es:EO']. [init:Id]. [e:E]. (
mu_ex_v5_Token()(e) 
(
b1,b2:
. <b1, tt, b2> 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_Token: mu_ex_v5_Token(),
Message: Message,
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]
Definitions :
prop: 
,
true: True,
mu_ex_v5_initState: mu_ex_v5_initState(initial_token),
member: t T,
exists: x:A. B[x],
squash: T,
cand: A c
B,
bfalse: ff,
outr: outr(x),
spreadn: spread3,
isl: isl(x),
ifthenelse: if b then t else f fi ,
false: False,
not: 
A,
so_lambda: 
x.t[x],
implies: P Q,
all: x:A. B[x],
and: P Q,
top: Top,
uall: [x:A]. B[x],
disjoint-union-tr: tr1 + tr2,
Accum-loc-class: Accum-loc-class(f;init;X),
mu_ex_v5_onToken: mu_ex_v5_onToken(),
mu_ex_v5_onRequest: mu_ex_v5_onRequest(),
SM4-class-du: SM4-class-du(init;trX1;trX2;trX3;trX4),
btrue: tt,
mu_ex_v5_State: mu_ex_v5_State(initial_token),
eq_atom: x =a y,
atom-deq: AtomDeq,
band: p 
q,
list-deq: list-deq(eq),
name-deq: NameDeq,
name_eq: name_eq(x;y),
uiff: uiff(P;Q),
assert: 
b,
name: Name,
uimplies: b supposing a,
rev_uimplies: rev_uimplies(P;Q),
deq: EqDecider(T),
so_apply: x[s],
guard: {T},
sq_type: SQType(T),
mu_ex_v5_Request: mu_ex_v5_Request(),
mu_ex_v5_Token: mu_ex_v5_Token(),
subtype: S 
T
Lemmas :
event-ordering+_wf,
es-E_wf,
it_wf,
mu_ex_v5_Token_wf,
unit_wf2,
classrel_wf,
single-bag_wf,
bag-member_wf,
bag-member-single,
Message_wf,
event-ordering+_inc,
es-loc_wf,
Id_wf,
deq_wf,
id-deq_wf,
bfalse_wf,
mu_ex_v5_initState_wf,
mu_ex_v5_State_wf,
bool_wf,
primed-class-opt-exists,
exists_wf,
disjoint-union-classrel,
btrue_wf,
lifting-loc-2_wf,
rec-combined-loc-class-opt-1_wf,
primed-class-opt_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,
equal_wf,
all_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,
assert-name_eq,
atom_subtype_base,
list_subtype_base,
name_wf,
subtype_base_sq,
base-noloc-classrel
\mforall{}[es:EO']. \mforall{}[init:Id]. \mforall{}[e:E].
(\mcdot{} \mmember{} mu\_ex\_v5\_Token()(e) {}\mRightarrow{} (\mdownarrow{}\mexists{}b1,b2:\mBbbB{}. <b1, tt, b2> \mmember{} mu\_ex\_v5\_State(init)(e)))
Date html generated:
2012_02_20-PM-07_01_16
Last ObjectModification:
2012_02_02-PM-03_02_05
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