{ 
[P:Pi_term]. [t:
].
(pi-run-example{$a,$b,$c,$d,$e,$f,$g,$h,$i,$j,$k}(P;t)
{L:(
Id Id pMsg(P.piM(P))? System(P.piM(P))) List|
||L|| = (t + 1)} ) }
{ Proof }
Definitions occuring in Statement :
pi-run-example: pi-run-example{$l_server,$l_choose,$l_comm,$l_pi,$a,$b,$c,$d,$e,$f,$g}(P;t),
piM: piM(T),
pi_term: Pi_term,
System: System(P.M[P]),
pMsg: pMsg(P.M[P]),
Id: Id,
length: ||as||,
nat: ,
uall: [x:A]. B[x],
unit: Unit,
member: t T,
set: {x:A| B[x]} ,
product: x:A B[x],
union: left + right,
list: type List,
add: n + m,
natural_number: $n,
int: ,
equal: s = t
Definitions :
uall: [x:A]. B[x],
member: t T,
Id: Id,
pMsg: pMsg(P.M[P]),
piM: piM(T),
pi-run-example: pi-run-example{$l_server,$l_choose,$l_comm,$l_pi,$a,$b,$c,$d,$e,$f,$g}(P;t),
mkid: "$x",
all: x:A. B[x],
so_lambda: 
x.t[x],
PiDataVal: PiDataVal(),
uimplies: b supposing a,
so_apply: x[s]
Lemmas :
pRun2_wf,
piM_wf,
union-value-type,
Id_wf,
name_wf,
pi_prefix_wf,
nat_wf,
unit_wf,
continuous-constant,
PiDataVal_wf,
pDVfire_wf,
pi-system-example_wf,
std-env_wf,
pi_term_wf
\mforall{}[P:Pi\_term]. \mforall{}[t:\mBbbN{}].
(pi-run-example\{\$a,\$b,\$c,\$d,\$e,\$f,\$g,\$h,\$i,\$j,\$k\}(P;t)
\mmember{} \{L:(\mBbbZ{} \mtimes{} Id \mtimes{} Id \mtimes{} pMsg(P.piM(P))? \mtimes{} System(P.piM(P))) List| ||L|| = (t + 1)\} )
Date html generated:
2011_08_17-PM-07_05_08
Last ObjectModification:
2011_06_18-PM-12_47_24
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