{ 
n2m:
Message. l2m:Id Message.
[A:EnvType RunType 
']. [B1,B2:EO' '].
S1,S2:InitSys.
(assuming(env,r.A[env;r])
S1 |= eo.B1[eo]
assuming(env,r.A[env;r])
S2 |= eo.B2[eo]
assuming(env,r.A[env;r])
S1 @ S2 |= eo.B1[eo] 
B2[eo]) }
{ Proof }
Definitions occuring in Statement :
strong-realizes: strong-realizes,
InitSys: InitSys,
RunType: RunType,
EnvType: EnvType,
Message: Message,
system-append: S1 @ S2,
event-ordering+: EO+(Info),
Id: Id,
nat: ,
uall: [x:A]. B[x],
prop: ,
so_apply: x[s1;s2],
so_apply: x[s],
all: x:A. B[x],
implies: P Q,
and: P Q,
function: x:A B[x]
Definitions :
all: x:A. B[x],
uall: [x:A]. B[x],
prop: ,
implies: P Q,
strong-realizes: strong-realizes,
so_apply: x[s1;s2],
so_apply: x[s],
system-strongly-realizes: system-strongly-realizes,
member: t 
T,
so_lambda: 
x.t[x],
so_lambda: x y.t[x; y],
Sys: Sys,
System: System(P.M[P]),
system-realizes: system-realizes,
let: let,
and: P Q,
EnvType: EnvType,
RunType: RunType,
InitSys: InitSys,
InitialSystem: InitialSystem(P.M[P]),
uimplies: b supposing a,
Message: Message
Lemmas :
sub-system_wf,
name_wf,
mData_wf,
system-append_wf,
InitialSystem_wf,
strong-realizes_wf,
RunType_wf,
EnvType_wf,
event-ordering+_wf,
Message_wf,
InitSys_wf,
Id_wf,
nat_wf,
sub-system_transitivity,
sub-system-append,
pEnvType_wf,
pRun_wf2,
strong-continuous-product,
continuous-constant
\mforall{}n2m:\mBbbN{} {}\mrightarrow{} Message. \mforall{}l2m:Id {}\mrightarrow{} Message.
\mforall{}[A:EnvType {}\mrightarrow{} RunType {}\mrightarrow{} \mBbbP{}']. \mforall{}[B1,B2:EO' {}\mrightarrow{} \mBbbP{}'].
\mforall{}S1,S2:InitSys.
(assuming(env,r.A[env;r])
S1 |= eo.B1[eo]
{}\mRightarrow{} assuming(env,r.A[env;r])
S2 |= eo.B2[eo]
{}\mRightarrow{} assuming(env,r.A[env;r])
S1 @ S2 |= eo.B1[eo] \mwedge{} B2[eo])
Date html generated:
2011_08_17-PM-04_13_55
Last ObjectModification:
2011_06_18-AM-11_32_14
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