---

{ [M:Type  Type]
    [S:InitialSystem(P.M[P])]. [n2m:  pMsg(P.M[P])].
    [l2m:Id  pMsg(P.M[P])]. [A:pEnvType(P.M[P])  pRunType(P.M[P])  ].
    [B:EO+(pMsg(P.M[P]))  ].
      (assuming(env,r.A[env;r])
        S |= eo.B[eo]  ) 
    supposing Continuous+(P.M[P]) }

{ Proof }

---

Definitions occuring in Statement :  system-strongly-realizes: system-strongly-realizes,  InitialSystem: InitialSystem(P.M[P]),  pEnvType: pEnvType(T.M[T]),  pRunType: pRunType(T.M[T]),  pMsg: pMsg(P.M[P]),  event-ordering+: EO+(Info),  Id: Id,  strong-type-continuous: Continuous+(T.F[T]),  nat: ,  uimplies: b supposing a,  uall: [x:A]. B[x],  prop: ,  so_apply: x[s1;s2],  so_apply: x[s],  member: t  T,  function: x:A  B[x],  universe: Type
Definitions :  uall: [x:A]. B[x],  uimplies: b supposing a,  so_apply: x[s],  prop: ,  member: t  T,  system-strongly-realizes: system-strongly-realizes,  so_apply: x[s1;s2],  all: x:A. B[x],  implies: P  Q,  so_lambda: x.t[x],  so_lambda: x y.t[x; y],  InitialSystem: InitialSystem(P.M[P])
Lemmas :  sub-system_wf,  system-realizes_wf,  pRunType_wf,  pEnvType_wf,  event-ordering+_wf,  pMsg_wf,  Id_wf,  nat_wf,  InitialSystem_wf,  strong-type-continuous_wf

---

\mforall{}[M:Type  {}\mrightarrow{}  Type]
    \mforall{}[S:InitialSystem(P.M[P])].  \mforall{}[n2m:\mBbbN{}  {}\mrightarrow{}  pMsg(P.M[P])].  \mforall{}[l2m:Id  {}\mrightarrow{}  pMsg(P.M[P])].
    \mforall{}[A:pEnvType(P.M[P])  {}\mrightarrow{}  pRunType(P.M[P])  {}\mrightarrow{}  \mBbbP{}].  \mforall{}[B:EO+(pMsg(P.M[P]))  {}\mrightarrow{}  \mBbbP{}].
        (assuming(env,r.A[env;r])
            S  |=  eo.B[eo]  \mmember{}  \mBbbP{}) 
    supposing  Continuous+(P.M[P])


Date html generated: 2011_08_17-PM-03_55_26
Last ObjectModification: 2011_06_18-AM-11_27_43

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