Nuprl Lemma : mu_ex_v4_Token-other
es:EO'. e:E. cs,p1,p2,init,i:Id. n:
.
(<i, make-Msg([token];;n)> 
mu_ex_v4_main(cs;init;p1;p2)(e) 
(i = (mu_ex_v4_otherProc(p1;p2) loc(e))))
Proof not projected
Definitions occuring in Statement :
mu_ex_v4_main: mu_ex_v4_main(cs;initial_token;proc1;proc2),
mu_ex_v4_otherProc: mu_ex_v4_otherProc(proc1;proc2),
make-Msg: make-Msg(hdr;typ;val),
Message: Message,
classrel: v X(e),
event-ordering+: EO+(Info),
es-loc: loc(e),
es-E: E,
Id: Id,
all: x:A. B[x],
implies: P Q,
apply: f a,
pair: <a, b>,
product: x:A 
B[x],
cons: [car / cdr],
nil: [],
int: ,
token: "$token",
equal: s = t
Definitions :
all: x:A. B[x],
Message: Message,
implies: P Q,
member: t T,
prop: 
,
pMsg: pMsg(P.M[P]),
mData: mData,
so_lambda: 
x.t[x],
select: l[i],
spreadn: spread3,
ifthenelse: if b then t else f fi ,
nat: 
,
int_seg: {i..j
},
funtype: funtype(n;A;T),
le: A 
B,
not: 
A,
false: False,
lelt: i j < k,
and: P 
Q,
length: ||as||,
ge: i 
j ,
label: ...$L... t,
ycomb: Y,
top: Top,
le_int: i z j,
bnot: 
b,
lt_int: i <z j,
bfalse: ff,
btrue: tt,
primrec: primrec(n;b;c),
eq_int: (i =
j),
true: True,
squash: 
T,
subtype: S 
T,
iff: P 
Q,
rev_implies: P Q,
classrel: v X(e),
sq_or: a 
b,
simple-loc-comb-3: F|Loc, X, Y, Z|,
concat-lifting-loc-3: concat-lifting-loc-3(f),
uall: [x:A]. B[x],
or: P Q,
simple-loc-comb: F|Loc; Xs|,
concat-lifting-loc: concat-lifting-loc(n;bags;loc;f),
concat-lifting: concat-lifting(n;f;bags),
concat-lifting-list: concat-lifting-list(n;bags),
uimplies: b supposing a,
uiff: uiff(P;Q),
so_apply: x[s],
decidable: Dec(P),
sq_type: SQType(T),
guard: {T},
exists: 
x:A. B[x],
lifting-gen-list-rev: lifting-gen-list-rev(n;bags),
mu_ex_v4_send_token: mu_ex_v4_send_token(),
pi2: snd(t),
pi1: fst(t),
eclass: EClass(A[eo; e])
Lemmas :
mu_ex_v4_Token-ilf,
bag-member-union,
make-Msg_wf,
int-valueall-type,
valueall-type_wf,
classrel_wf,
Message_wf,
Id_wf,
mu_ex_v4_main_wf,
subtype_rel_simple_product,
subtype_rel_self,
name_wf,
mData_wf,
subtype_rel_product,
subtype_rel_sets,
es-E_wf,
event-ordering+_inc,
event-ordering+_wf,
lifting-gen-list-rev_wf,
bag_wf,
le_wf,
lelt_wf,
select_wf,
unit_wf2,
bool_wf,
length_wf,
length_nil,
length_wf_nat,
top_wf,
length_cons,
non_neg_length,
int_seg_wf,
decidable__equal_int,
subtype_base_sq,
int_subtype_base,
mu_ex_v4_Request_wf,
mu_ex_v4_PrToken_wf,
mu_ex_v4_PrState_wf,
ifthenelse-wf,
empty-bag_wf,
assert_wf,
single-bag_wf,
mu_ex_v4_send_token_wf,
mu_ex_v4_otherProc_wf,
es-loc_wf,
not_wf,
bag-member-combine,
bag-combine_wf,
bag-member-single,
bag-member_wf,
bag-member-empty-iff,
equal_wf,
bnot_wf,
squash_wf,
true_wf,
Error :pi2_wf,
pi1_wf_top,
bool_cases,
bool_subtype_base,
eqtt_to_assert,
uiff_transitivity,
eqff_to_assert,
assert_of_bnot,
mu_ex_v4_LeaveCS_wf
\mforall{}es:EO'. \mforall{}e:E. \mforall{}cs,p1,p2,init,i:Id. \mforall{}n:\mBbbZ{}.
(<i, make-Msg([token];\mBbbZ{};n)> \mmember{} mu\_ex\_v4\_main(cs;init;p1;p2)(e)
{}\mRightarrow{} (i = (mu\_ex\_v4\_otherProc(p1;p2) loc(e))))
Date html generated:
2012_02_20-PM-06_35_48
Last ObjectModification:
2012_02_02-PM-02_55_58
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