---

{ [M:Type  Type]
    [nat2msg:  pMsg(P.M[P])]. [loc2msg:Id  pMsg(P.M[P])].
    [S:System(P.M[P])]. [t,n,m:]. [nm:Id].
      (do-chosen-command(nat2msg;loc2msg;t;S;n;m;nm)    Id
                                                        Id
                                                        pMsg(P.M[P])?
                                                        System(P.M[P])) 
    supposing Continuous+(P.M[P]) }

{ Proof }

---

Definitions occuring in Statement :  do-chosen-command: do-chosen-command(nat2msg;loc2msg;t;S;n;m;nm),  System: System(P.M[P]),  pMsg: pMsg(P.M[P]),  Id: Id,  strong-type-continuous: Continuous+(T.F[T]),  nat: ,  uimplies: b supposing a,  uall: [x:A]. B[x],  so_apply: x[s],  unit: Unit,  member: t  T,  function: x:A  B[x],  product: x:A  B[x],  union: left + right,  int: ,  universe: Type
Definitions :  uall: [x:A]. B[x],  uimplies: b supposing a,  so_apply: x[s],  System: System(P.M[P]),  member: t  T,  do-chosen-command: do-chosen-command(nat2msg;loc2msg;t;S;n;m;nm),  ifthenelse: if b then t else f fi ,  spreadn: spread3,  let: let,  ldag: LabeledDAG(T),  so_lambda: x.t[x],  all: x:A. B[x],  implies: P  Q,  btrue: tt,  bfalse: ff,  prop: ,  nat: ,  unit: Unit,  lg-is-source: lg-is-source(g;i),  pInTransit: pInTransit(P.M[P]),  bool: ,  iff: P  Q,  and: P  Q,  false: False,  or: P  Q,  sq_type: SQType(T),  guard: {T},  it: ,  not: A
Lemmas :  lg-is-source_wf_dag,  pInTransit_wf,  bool_wf,  iff_weakening_uiff,  assert_wf,  eqtt_to_assert,  lg-label_wf_dag,  is-dag_wf,  not_wf,  uiff_transitivity,  bnot_wf,  eqff_to_assert,  assert_of_bnot,  it_wf,  Id_wf,  pMsg_wf,  nat_wf,  System_wf,  strong-type-continuous_wf,  lt_int_wf,  lg-size_wf,  le_wf,  le_int_wf,  btrue_neq_bfalse,  assert_elim,  bfalse_wf,  eq_atom_wf,  com-kind_wf,  comm-msg_wf,  unit_wf,  deliver-msg_wf,  lg-remove_wf_dag,  assert_of_eq_atom,  create-component_wf,  comm-create_wf,  not_functionality_wrt_uiff,  bool_cases,  subtype_base_sq,  bool_subtype_base,  assert_of_lt_int,  assert_functionality_wrt_uiff,  bnot_of_lt_int,  assert_of_le_int

---

\mforall{}[M:Type  {}\mrightarrow{}  Type]
    \mforall{}[nat2msg:\mBbbN{}  {}\mrightarrow{}  pMsg(P.M[P])].  \mforall{}[loc2msg:Id  {}\mrightarrow{}  pMsg(P.M[P])].  \mforall{}[S:System(P.M[P])].  \mforall{}[t,n,m:\mBbbN{}].
    \mforall{}[nm:Id].
        (do-chosen-command(nat2msg;loc2msg;t;S;n;m;nm)  \mmember{}  \mBbbZ{}  \mtimes{}  Id  \mtimes{}  Id  \mtimes{}  pMsg(P.M[P])?  \mtimes{}  System(P.M[P])) 
    supposing  Continuous+(P.M[P])


Date html generated: 2011_08_16-PM-06_53_57
Last ObjectModification: 2011_06_18-AM-11_08_40

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