Nuprl Lemma : max_exch_mem_max
es:EO'. e1,e2:E. n1,n2,n:
.
((e1 <loc e2)
n 
max_exch_Input()(e1)
n1 max_exch_Maximum()(e1)
n2 max_exch_Maximum()(e2)
((n1 
n2) 
(n n2)))
Proof not projected
Definitions occuring in Statement :
max_exch_Maximum: max_exch_Maximum(),
max_exch_Input: max_exch_Input(),
Message: Message,
classrel: v X(e),
event-ordering+: EO+(Info),
es-locl: (e <loc e'),
es-E: E,
le: A B,
all: x:A. B[x],
implies: P Q,
and: P Q,
int:
Definitions :
all: x:A. B[x],
implies: P Q,
max_exch_Input: max_exch_Input(),
and: P Q,
le: A B,
prop: 
,
member: t T,
so_lambda: 
x.t[x],
cand: A c B,
or: P 
Q,
not: 
A,
false: False,
max_exch_int'base: max_exch_int'base(),
max_exch_exchange'base: max_exch_exchange'base(),
name: Name,
assert: 
b,
name_eq: name_eq(x;y),
uiff: uiff(P;Q),
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,
max_exch_Maximum: max_exch_Maximum(),
uall: [x:A]. B[x],
so_apply: x[s1;s2;s3],
iff: P 
Q,
rev_implies: P Q,
uimplies: b supposing a,
subtype: S 
T
Lemmas :
Memory-class-mem,
Message_wf,
and_wf,
le_wf,
imax_wf,
single-bag_wf,
Id_wf,
max_exch_Input_wf,
imax_ub,
classrel_wf,
Memory-class_wf,
es-locl_wf,
event-ordering+_inc,
es-le_wf,
sq_stable__and,
sq_stable_from_decidable,
decidable__le,
parallel-class-single-val,
max_exch_int'base_wf,
simple-loc-comb-1_wf,
concat-lifting-loc-1_wf,
max_exch_exchange'base_wf,
disjoint-classrel-symm,
simple-loc-comb-1-concat-disjoint-classrel,
base-disjoint-classrel,
assert-name_eq,
equal_wf,
name_wf,
simple-loc-comb-1-concat-single-val,
single-valued-classrel-base,
single-valued-bag-single,
es-E_wf,
max_exch_Maximum_wf,
event-ordering+_wf
\mforall{}es:EO'. \mforall{}e1,e2:E. \mforall{}n1,n2,n:\mBbbZ{}.
((e1 <loc e2)
{}\mRightarrow{} n \mmember{} max\_exch\_Input()(e1)
{}\mRightarrow{} n1 \mmember{} max\_exch\_Maximum()(e1)
{}\mRightarrow{} n2 \mmember{} max\_exch\_Maximum()(e2)
{}\mRightarrow{} ((n1 \mleq{} n2) \mwedge{} (n \mleq{} n2)))
Date html generated:
2012_02_20-PM-05_17_17
Last ObjectModification:
2012_02_17-PM-03_07_00
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