Nuprl Lemma : lg-size-deliver-msg
[M:Type 
Type]
[t:
]. [x:Id]. [m:pMsg(P.M[P])]. [Cs:component(P.M[P]) List]. [G:LabeledDAG(pInTransit(P.M[P]))].
(lg-size(G) 
lg-size(snd(deliver-msg(t;m;x;Cs;G))))
supposing Continuous+(P.M[P])
Proof not projected
Definitions occuring in Statement :
deliver-msg: deliver-msg(t;m;x;Cs;L),
pInTransit: pInTransit(P.M[P]),
component: component(P.M[P]),
pMsg: pMsg(P.M[P]),
ldag: LabeledDAG(T),
lg-size: lg-size(g),
Id: Id,
strong-type-continuous: Continuous+(T.F[T]),
nat: ,
uimplies: b supposing a,
uall: [x:A]. B[x],
so_apply: x[s],
pi2: snd(t),
le: A B,
function: x:A B[x],
list: type List,
universe: Type
Definitions :
so_lambda: 
x.t[x],
false: False,
implies: P 
Q,
not: 
A,
member: t 
T,
le: A B,
so_apply: x[s],
uimplies: b supposing a,
uall: [x:A]. B[x],
deliver-msg: deliver-msg(t;m;x;Cs;L),
ycomb: Y,
list_accum: list_accum(x,a.f[x; a];y;l),
pi2: snd(t),
all: x:A. B[x],
guard: {T},
bfalse: ff,
btrue: tt,
ifthenelse: if b then t else f fi ,
deliver-msg-to-comp: deliver-msg-to-comp(t;m;x;S;C),
component: component(P.M[P]),
and: P 
Q,
true: True,
squash: 
T,
prop: 
,
iff: P 
Q,
rev_implies: P Q,
nat: ,
uiff: uiff(P;Q),
unit: Unit,
bool: 
,
ldag: LabeledDAG(T),
System: System(P.M[P]),
it: 
Lemmas :
strong-type-continuous_wf,
nat_wf,
Id_wf,
pMsg_wf,
component_wf,
pInTransit_wf,
ldag_wf,
lg-size_wf_dag,
not_functionality_wrt_uiff,
assert_of_bnot,
eqff_to_assert,
not_wf,
bnot_wf,
assert-eq-id,
eqtt_to_assert,
assert_wf,
equal_wf,
uiff_transitivity,
bool_wf,
eq_id_wf,
pExt_wf,
Process_wf,
Process-apply_wf,
add-cause_wf,
lg-append_wf_dag,
lg-size-append,
lg-size_wf,
true_wf,
squash_wf,
le_wf,
deliver-msg_wf,
System_wf
\mforall{}[M:Type {}\mrightarrow{} Type]
\mforall{}[t:\mBbbN{}]. \mforall{}[x:Id]. \mforall{}[m:pMsg(P.M[P])]. \mforall{}[Cs:component(P.M[P]) List].
\mforall{}[G:LabeledDAG(pInTransit(P.M[P]))].
(lg-size(G) \mleq{} lg-size(snd(deliver-msg(t;m;x;Cs;G))))
supposing Continuous+(P.M[P])
Date html generated:
2012_01_23-PM-12_42_11
Last ObjectModification:
2012_01_06-AM-10_24_03
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